vsop87 3.0.0

#[cfg(feature = "no_std")]
use core::f64::consts::PI;
#[cfg(not(feature = "no_std"))]
use std::f64::consts::PI;

pub(crate) const X0: [[f64; 2047]; 3] = [
    [
        9.52312533591,
        0.79501390398,
        0.26427074351,
        0.06836881382,
        0.06628914946,
        0.02340967916,
        0.01250581159,
        0.01141539711,
        0.01098217124,
        0.00773784455,
        0.00708587042,
        0.0043422703,
        0.0037311088,
        0.00413446294,
        0.00169743473,
        0.00122184772,
        0.00141571884,
        0.00097840616,
        0.00080586098,
        0.00083840998,
        0.0007249912,
        0.00070188882,
        0.00068920772,
        0.00065633219,
        0.00058340081,
        0.00054036331,
        0.00045670301,
        0.00039957906,
        0.00044623718,
        0.00025182378,
        0.00024597547,
        0.00024755958,
        0.00025518626,
        0.00030420785,
        0.00022261024,
        0.00023384603,
        0.0001992186,
        0.0002336808,
        0.00024816783,
        0.0001505773,
        0.00013291291,
        0.00012028365,
        0.00012408238,
        0.0001203726,
        0.00007880259,
        0.00007428823,
        0.00006985779,
        0.00009059376,
        0.0000662618,
        0.00008285289,
        0.000079086,
        0.00006284835,
        0.00006078527,
        0.00005628724,
        0.00005274108,
        0.00005584926,
        0.00004423799,
        0.00004849319,
        0.00004179381,
        0.00005772348,
        0.00005198014,
        0.00005154525,
        0.00003792407,
        0.00004380719,
        0.00004838174,
        0.00003765792,
        0.00003749721,
        0.00003116757,
        0.00003115849,
        0.00003119049,
        0.00003235633,
        0.00004077069,
        0.00003290391,
        0.00002828736,
        0.00003365297,
        0.00002888976,
        0.00002748221,
        0.00002742545,
        0.00002636395,
        0.00003170535,
        0.0000253006,
        0.00002985976,
        0.00002617358,
        0.00002504577,
        0.00002459199,
        0.00002429561,
        0.00003133467,
        0.00002289072,
        0.00002651422,
        0.00002791618,
        0.00002086473,
        0.00002337517,
        0.00001735774,
        0.0000161776,
        0.0000163542,
        0.00001637578,
        0.00001633497,
        0.00001703439,
        0.00001499174,
        0.00001462063,
        0.0000197585,
        0.00001422179,
        0.00001539334,
        0.00001400317,
        0.00001337694,
        0.00001427589,
        0.00001149795,
        0.0000111216,
        0.00001015231,
        0.00001090238,
        0.0000109146,
        0.0000115232,
        0.00000874317,
        0.00001180011,
        0.00001058128,
        0.00000850822,
        0.00000869178,
        0.00001119594,
        0.00000868384,
        0.00000830815,
        0.00000825441,
        0.00000881196,
        0.00000866345,
        0.00000789515,
        0.00001091862,
        0.00001008329,
        0.00000919088,
        0.00000820108,
        0.00000716162,
        0.00000860928,
        0.00000710939,
        0.00000701898,
        0.0000091863,
        0.00000711475,
        0.00000797153,
        0.00000758732,
        0.00000642018,
        0.00000769629,
        0.00000811029,
        0.00000692909,
        0.00000798757,
        0.00000834309,
        0.00000655277,
        0.00000762632,
        0.00000576036,
        0.00000615654,
        0.00000578589,
        0.00000626782,
        0.00000589499,
        0.00000700182,
        0.00000697691,
        0.00000613843,
        0.00000581263,
        0.00000666749,
        0.00000516903,
        0.00000499031,
        0.00000502357,
        0.00000531983,
        0.00000643415,
        0.00000518385,
        0.00000550972,
        0.00000469313,
        0.00000456002,
        0.00000592362,
        0.00000465459,
        0.00000444956,
        0.00000502683,
        0.00000522764,
        0.00000422458,
        0.00000437134,
        0.00000414039,
        0.00000398994,
        0.00000398994,
        0.00000373088,
        0.00000469097,
        0.00000361258,
        0.0000034592,
        0.00000350777,
        0.00000335274,
        0.00000335274,
        0.00000367346,
        0.00000369973,
        0.0000039923,
        0.00000318144,
        0.00000315586,
        0.00000337834,
        0.00000313433,
        0.0000033004,
        0.00000383783,
        0.00000350135,
        0.00000401239,
        0.00000404631,
        0.00000404539,
        0.00000304876,
        0.00000289344,
        0.0000027025,
        0.00000271661,
        0.00000283573,
        0.00000294112,
        0.00000266932,
        0.00000269475,
        0.00000348053,
        0.00000296599,
        0.00000252084,
        0.00000252084,
        0.00000250282,
        0.00000294321,
        0.00000270973,
        0.0000026382,
        0.00000238275,
        0.00000305244,
        0.00000241411,
        0.0000031498,
        0.00000223277,
        0.00000292846,
        0.00000304942,
        0.00000237167,
        0.00000240608,
        0.00000263455,
        0.00000211236,
        0.00000205878,
        0.00000282395,
        0.00000203077,
        0.00000267955,
        0.00000238411,
        0.00000230884,
        0.00000203254,
        0.00000216423,
        0.00000194279,
        0.00000216822,
        0.00000191411,
        0.00000212655,
        0.00000214969,
        0.00000236822,
        0.00000229348,
        0.00000174163,
        0.00000202398,
        0.00000179962,
        0.0000016961,
        0.00000174157,
        0.00000165778,
        0.00000178798,
        0.00000180904,
        0.00000182548,
        0.00000179529,
        0.00000187071,
        0.00000180856,
        0.00000196496,
        0.00000151676,
        0.00000151676,
        0.0000015143,
        0.00000193773,
        0.00000166996,
        0.00000189342,
        0.00000180605,
        0.0000017272,
        0.00000149398,
        0.00000146617,
        0.00000193842,
        0.00000178668,
        0.00000137031,
        0.00000185345,
        0.00000158449,
        0.00000167315,
        0.0000015589,
        0.00000159567,
        0.00000138554,
        0.00000164796,
        0.00000167034,
        0.00000128473,
        0.0000014227,
        0.00000177375,
        0.00000125618,
        0.00000131798,
        0.00000130711,
        0.00000122905,
        0.00000165088,
        0.00000133438,
        0.00000120114,
        0.00000161862,
        0.00000116787,
        0.0000011821,
        0.00000133448,
        0.00000111758,
        0.00000152292,
        0.0000012884,
        0.00000110215,
        0.00000107434,
        0.00000115948,
        0.00000109063,
        0.00000109273,
        0.00000107429,
        0.0000012616,
        0.00000110176,
        0.00000123129,
        0.00000134189,
        0.00000106815,
        0.00000105829,
        0.00000115432,
        0.00000118293,
        0.00000104354,
        0.00000095114,
        0.00000099528,
        0.00000097935,
        0.00000106628,
        0.00000094853,
        0.00000096075,
        0.00000104203,
        0.00000107375,
        0.00000093096,
        0.00000088042,
        0.00000093076,
        0.00000089875,
        0.00000086729,
        0.00000088055,
        0.00000086045,
        0.00000084186,
        0.00000081866,
        0.00000098341,
        0.00000112464,
        0.00000091321,
        0.00000088237,
        0.00000091544,
        0.00000079761,
        0.0000010044,
        0.00000078269,
        0.00000093714,
        0.00000077457,
        0.0000008787,
        0.00000080557,
        0.00000082279,
        0.00000100767,
        0.00000102819,
        0.00000074922,
        0.00000074704,
        0.00000075306,
        0.00000071397,
        0.00000070299,
        0.0000009521,
        0.00000069326,
        0.00000069326,
        0.00000076148,
        0.0000008076,
        0.00000085274,
        0.00000079268,
        0.0000008189,
        0.00000091253,
        0.00000070965,
        0.00000086364,
        0.0000008166,
        0.00000066327,
        0.00000066404,
        0.00000068065,
        0.00000081793,
        0.00000070972,
        0.00000065212,
        0.00000064142,
        0.00000063961,
        0.00000065617,
        0.00000062731,
        0.00000073401,
        0.00000063416,
        0.00000061908,
        0.00000077192,
        0.00000070261,
        0.00000058935,
        0.00000059359,
        0.00000071174,
        0.00000059979,
        0.00000078873,
        0.00000060704,
        0.00000063502,
        0.00000060272,
        0.00000056662,
        0.00000066008,
        0.00000066706,
        0.00000066363,
        0.00000055245,
        0.00000055098,
        0.00000071893,
        0.00000059023,
        0.00000054012,
        0.00000053837,
        0.00000063323,
        0.00000067784,
        0.00000068327,
        0.00000074859,
        0.00000054888,
        0.00000054393,
        0.0000005625,
        0.00000056864,
        0.000000586,
        0.00000050765,
        0.00000051202,
        0.00000052403,
        0.00000064155,
        0.00000050427,
        0.00000050427,
        0.000000629,
        0.00000055902,
        0.00000050047,
        0.00000049142,
        0.00000055589,
        0.00000050005,
        0.00000059759,
        0.00000047716,
        0.00000063636,
        0.00000048821,
        0.00000049427,
        0.00000064684,
        0.00000049622,
        0.00000058187,
        0.00000048661,
        0.0000004871,
        0.00000065208,
        0.00000046209,
        0.00000058609,
        0.00000055906,
        0.00000051943,
        0.00000054149,
        0.00000044466,
        0.00000055947,
        0.0000004329,
        0.00000042587,
        0.000000529,
        0.00000041439,
        0.00000047251,
        0.00000048495,
        0.00000047908,
        0.0000004403,
        0.00000045108,
        0.00000046355,
        0.00000053109,
        0.00000045868,
        0.00000041458,
        0.00000037152,
        0.00000047404,
        0.00000038168,
        0.00000036628,
        0.00000045029,
        0.00000036896,
        0.00000038453,
        0.00000048446,
        0.0000003882,
        0.00000040434,
        0.00000036263,
        0.00000049643,
        0.00000035063,
        0.00000037471,
        0.00000046113,
        0.00000046113,
        0.00000037195,
        0.00000036077,
        0.00000037351,
        0.0000003423,
        0.00000041145,
        0.00000040662,
        0.00000043402,
        0.00000039654,
        0.00000036261,
        0.00000032687,
        0.00000033157,
        0.00000036698,
        0.00000033531,
        0.00000031599,
        0.00000031098,
        0.00000037751,
        0.00000035774,
        0.0000003973,
        0.0000003835,
        0.00000034642,
        0.0000003157,
        0.0000003936,
        0.00000031496,
        0.00000030207,
        0.00000029335,
        0.00000040419,
        0.00000031724,
        0.00000034923,
        0.00000028746,
        0.00000028755,
        0.00000035049,
        0.00000027298,
        0.00000035019,
        0.00000027836,
        0.00000036108,
        0.00000029306,
        0.00000027049,
        0.00000034876,
        0.00000027398,
        0.00000026699,
        0.00000031423,
        0.00000033616,
        0.00000026335,
        0.00000026583,
        0.00000032446,
        0.00000035965,
        0.00000027132,
        0.00000025856,
        0.00000029986,
        0.00000032943,
        0.00000027965,
        0.00000026667,
        0.00000028346,
        0.00000025306,
        0.00000025371,
        0.00000025734,
        0.00000026331,
        0.00000030392,
        0.00000025998,
        0.00000033249,
        0.00000034168,
        0.00000033256,
        0.00000026237,
        0.00000024623,
        0.00000033518,
        0.0000002719,
        0.0000002719,
        0.00000029507,
        0.00000032634,
        0.00000025187,
        0.00000025644,
        0.00000024787,
        0.0000002367,
        0.00000023511,
        0.00000023511,
        0.00000023747,
        0.00000030107,
        0.00000027532,
        0.00000024105,
        0.00000024814,
        0.00000025569,
        0.00000024522,
        0.00000023164,
        0.00000024171,
        0.00000022048,
        0.00000022198,
        0.00000025834,
        0.00000021674,
        0.00000023225,
        0.00000021571,
        0.0000002708,
        0.00000021569,
        0.00000021638,
        0.00000022198,
        0.00000021066,
        0.00000022956,
        0.00000022695,
        0.00000027166,
        0.00000025768,
        0.00000022341,
        0.00000020372,
        0.00000027791,
        0.00000020257,
        0.00000024029,
        0.00000020321,
        0.0000002176,
        0.00000019818,
        0.00000021046,
        0.00000022078,
        0.0000002133,
        0.00000023629,
        0.00000024992,
        0.00000024756,
        0.00000025007,
        0.00000023761,
        0.00000021722,
        0.0000001892,
        0.00000018653,
        0.00000018653,
        0.00000021149,
        0.00000025426,
        0.00000022841,
        0.00000023911,
        0.00000022993,
        0.00000019429,
        0.00000022024,
        0.00000023549,
        0.00000019967,
        0.00000022876,
        0.00000019677,
        0.0000002375,
        0.00000022555,
        0.00000020143,
        0.00000021017,
        0.00000021934,
        0.00000017902,
        0.00000020903,
        0.00000018918,
        0.00000017876,
        0.00000017731,
        0.00000017098,
        0.00000024044,
        0.00000016884,
        0.0000001889,
        0.00000018099,
        0.00000018165,
        0.00000020525,
        0.00000016659,
        0.00000023314,
        0.00000018637,
        0.00000016704,
        0.00000016529,
        0.00000016486,
        0.00000017269,
        0.00000020803,
        0.00000018263,
        0.00000017267,
        0.00000017953,
        0.00000022334,
        0.00000020308,
        0.00000016381,
        0.00000016267,
        0.0000001854,
        0.00000016627,
        0.00000016245,
        0.00000016399,
        0.00000018383,
        0.00000016013,
        0.00000015991,
        0.00000016379,
        0.00000021494,
        0.0000001584,
        0.00000016271,
        0.00000016436,
        0.00000018303,
        0.00000016892,
        0.00000016255,
        0.00000015567,
        0.00000015921,
        0.00000016234,
        0.00000015273,
        0.00000015648,
        0.00000015648,
        0.00000018382,
        0.00000016593,
        0.00000018947,
        0.00000016216,
        0.00000020572,
        0.00000016595,
        0.00000017326,
        0.00000014971,
        0.00000016383,
        0.00000016103,
        0.00000014886,
        0.0000001836,
        0.00000019474,
        0.00000020381,
        0.00000014597,
        0.00000016369,
        0.00000014609,
        0.00000014822,
        0.00000014578,
        0.00000017284,
        0.0000001579,
        0.0000001912,
        0.00000017766,
        0.00000014974,
        0.00000019645,
        0.00000015462,
        0.00000015819,
        0.00000017917,
        0.00000014016,
        0.00000015063,
        0.00000017883,
        0.00000015768,
        0.00000019463,
        0.00000014016,
        0.00000013854,
        0.00000015926,
        0.00000015265,
        0.00000014549,
        0.00000015012,
        0.00000014376,
        0.0000001506,
        0.00000017967,
        0.00000013507,
        0.00000015721,
        0.00000013819,
        0.00000016412,
        0.00000016702,
        0.00000016229,
        0.0000001383,
        0.00000018336,
        0.00000014088,
        0.00000013344,
        0.00000013303,
        0.00000015477,
        0.00000012978,
        0.00000015002,
        0.00000017598,
        0.00000015115,
        0.00000012874,
        0.00000016607,
        0.00000015813,
        0.00000013957,
        0.00000015413,
        0.00000016676,
        0.00000012604,
        0.00000012578,
        0.00000012841,
        0.00000012315,
        0.00000013217,
        0.00000012147,
        0.00000012395,
        0.00000014104,
        0.00000014269,
        0.00000011476,
        0.0000001177,
        0.00000011418,
        0.00000012752,
        0.00000013026,
        0.00000011246,
        0.00000011976,
        0.00000011206,
        0.00000014434,
        0.0000001197,
        0.00000014741,
        0.00000012049,
        0.00000010842,
        0.0000001335,
        0.00000014697,
        0.00000010885,
        0.0000001125,
        0.0000001374,
        0.00000010769,
        0.0000001285,
        0.00000010505,
        0.00000010385,
        0.00000010842,
        0.0000001029,
        0.00000013234,
        0.00000010647,
        0.00000010182,
        0.0000001021,
        0.00000011258,
        0.00000011951,
        0.00000013918,
        0.00000010041,
        0.00000014076,
        0.00000012084,
        0.00000010842,
        0.00000011375,
        0.00000012596,
        0.00000011028,
        0.0000000986,
        0.00000012108,
        0.00000010908,
        0.00000009594,
        0.00000010453,
        0.00000009546,
        0.00000011233,
        0.00000009914,
        0.00000009448,
        0.00000009546,
        0.00000010366,
        0.0000000937,
        0.00000011272,
        0.00000009924,
        0.00000009472,
        0.00000012896,
        0.0000000915,
        0.00000011879,
        0.00000010766,
        0.00000009308,
        0.00000009735,
        0.00000010066,
        0.00000010907,
        0.00000012189,
        0.00000011289,
        0.00000011032,
        0.00000008918,
        0.00000009676,
        0.00000010312,
        0.00000008636,
        0.00000008732,
        0.00000009566,
        0.00000010066,
        0.00000009374,
        0.00000009533,
        0.0000000978,
        0.00000008433,
        0.00000008433,
        0.0000001024,
        0.00000008356,
        0.00000009888,
        0.00000008509,
        0.00000008903,
        0.00000008389,
        0.00000008197,
        0.00000008246,
        0.00000008317,
        0.00000008295,
        0.00000011264,
        0.00000011219,
        0.0000000897,
        0.00000008956,
        0.00000010013,
        0.00000010091,
        0.00000008906,
        0.00000007978,
        0.00000007792,
        0.00000008025,
        0.00000010403,
        0.00000008025,
        0.00000010165,
        0.00000009333,
        0.00000009111,
        0.00000009887,
        0.00000007646,
        0.00000009194,
        0.00000007695,
        0.00000007915,
        0.00000007999,
        0.00000009422,
        0.00000008126,
        0.00000010105,
        0.00000007633,
        0.00000009479,
        0.00000008422,
        0.00000007684,
        0.00000009659,
        0.00000007375,
        0.00000009835,
        0.00000007261,
        0.00000007327,
        0.00000008716,
        0.00000009076,
        0.00000009427,
        0.00000007385,
        0.00000007235,
        0.00000007849,
        0.00000007786,
        0.00000007111,
        0.00000009164,
        0.00000007298,
        0.00000007773,
        0.00000007342,
        0.00000007093,
        0.00000006873,
        0.0000000866,
        0.00000009119,
        0.00000007614,
        0.00000007081,
        0.00000007895,
        0.00000007696,
        0.00000007903,
        0.00000007977,
        0.00000007298,
        0.00000008742,
        0.0000000759,
        0.00000008186,
        0.00000007872,
        0.00000006935,
        0.00000006519,
        0.00000006628,
        0.00000008878,
        0.00000008467,
        0.00000006757,
        0.00000006377,
        0.00000007376,
        0.00000006333,
        0.00000006682,
        0.00000006651,
        0.00000007569,
        0.0000000736,
        0.00000006901,
        0.00000007381,
        0.00000007504,
        0.00000007473,
        0.00000006275,
        0.0000000757,
        0.00000006057,
        0.00000006364,
        0.00000005928,
        0.00000007836,
        0.00000006147,
        0.00000006324,
        0.00000005898,
        0.00000006943,
        0.00000005913,
        0.00000005823,
        0.00000006807,
        0.00000006016,
        0.00000006641,
        0.00000006458,
        0.00000007069,
        0.00000007779,
        0.00000007221,
        0.0000000761,
        0.00000007748,
        0.00000007664,
        0.00000005819,
        0.00000005819,
        0.00000006261,
        0.00000006136,
        0.00000005471,
        0.00000005971,
        0.00000006662,
        0.00000006604,
        0.00000005774,
        0.00000005678,
        0.00000005771,
        0.00000006577,
        0.00000005341,
        0.00000006085,
        0.00000006219,
        0.00000005285,
        0.00000005304,
        0.00000006082,
        0.00000006287,
        0.00000005677,
        0.00000005677,
        0.00000005284,
        0.00000007032,
        0.00000005102,
        0.00000006572,
        0.00000005363,
        0.00000005071,
        0.00000006462,
        0.00000005365,
        0.00000006508,
        0.00000005532,
        0.00000005557,
        0.000000049,
        0.00000004866,
        0.00000004838,
        0.00000004827,
        0.00000005563,
        0.00000005497,
        0.00000006373,
        0.00000004825,
        0.00000004857,
        0.00000005731,
        0.00000005593,
        0.00000005962,
        0.0000000489,
        0.00000004978,
        0.00000006082,
        0.00000005118,
        0.00000005637,
        0.00000005571,
        0.00000006493,
        0.00000005591,
        0.000000048,
        0.00000005463,
        0.00000005035,
        0.00000004758,
        0.00000005081,
        0.00000004612,
        0.00000006057,
        0.00000004578,
        0.00000005515,
        0.00000005305,
        0.0000000544,
        0.00000004994,
        0.00000004487,
        0.00000005536,
        0.00000004486,
        0.00000004513,
        0.00000005772,
        0.00000004455,
        0.00000005554,
        0.00000005487,
        0.0000000477,
        0.00000004782,
        0.00000005299,
        0.00000004812,
        0.00000004838,
        0.00000004398,
        0.00000004622,
        0.00000004573,
        0.00000005909,
        0.00000004454,
        0.00000004339,
        0.00000005432,
        0.00000004814,
        0.00000005416,
        0.00000004417,
        0.00000005809,
        0.00000004499,
        0.00000004316,
        0.00000004591,
        0.00000004277,
        0.00000004839,
        0.00000004685,
        0.00000005613,
        0.00000004574,
        0.00000004511,
        0.00000005229,
        0.00000004479,
        0.00000004309,
        0.00000004502,
        0.00000004161,
        0.00000004124,
        0.00000004511,
        0.00000004109,
        0.00000005256,
        0.00000004845,
        0.00000005044,
        0.00000004049,
        0.00000004077,
        0.00000004372,
        0.00000004235,
        0.00000004119,
        0.00000005657,
        0.00000004022,
        0.00000004173,
        0.00000004173,
        0.00000004084,
        0.00000003996,
        0.0000000406,
        0.00000004344,
        0.0000000401,
        0.00000003948,
        0.00000005205,
        0.00000004634,
        0.00000005029,
        0.00000004736,
        0.00000003969,
        0.00000005443,
        0.00000005129,
        0.00000005129,
        0.00000003855,
        0.00000004014,
        0.0000000386,
        0.00000003855,
        0.00000003832,
        0.00000003833,
        0.00000003992,
        0.00000004504,
        0.00000003821,
        0.00000003915,
        0.00000004,
        0.00000004401,
        0.00000003903,
        0.00000005273,
        0.00000004974,
        0.0000000377,
        0.0000000377,
        0.00000004435,
        0.00000003735,
        0.0000000369,
        0.00000003728,
        0.00000004348,
        0.00000004549,
        0.0000000371,
        0.00000003788,
        0.00000004244,
        0.00000003638,
        0.00000004782,
        0.00000004614,
        0.00000003611,
        0.00000003647,
        0.00000003812,
        0.00000004045,
        0.00000003837,
        0.00000003969,
        0.00000004988,
        0.00000004187,
        0.00000003673,
        0.00000003529,
        0.00000004522,
        0.00000003575,
        0.00000004154,
        0.00000004496,
        0.00000003649,
        0.00000004846,
        0.00000004339,
        0.00000003687,
        0.00000003925,
        0.00000004658,
        0.00000004614,
        0.00000003906,
        0.00000003627,
        0.00000003452,
        0.00000003889,
        0.00000004257,
        0.00000004693,
        0.00000003405,
        0.00000003406,
        0.00000003405,
        0.00000004,
        0.00000004448,
        0.00000004227,
        0.00000003578,
        0.00000003352,
        0.00000003398,
        0.00000003878,
        0.00000003282,
        0.00000003282,
        0.00000003262,
        0.00000003353,
        0.00000003738,
        0.00000003649,
        0.00000004126,
        0.00000003391,
        0.00000003608,
        0.00000003758,
        0.00000003231,
        0.00000003787,
        0.00000003965,
        0.00000003735,
        0.00000003177,
        0.00000003187,
        0.00000004058,
        0.00000003123,
        0.00000003691,
        0.00000003467,
        0.0000000327,
        0.00000004132,
        0.00000003256,
        0.00000004289,
        0.00000003819,
        0.00000003049,
        0.0000000336,
        0.00000003446,
        0.00000003964,
        0.00000003527,
        0.00000003065,
        0.000000035,
        0.00000002995,
        0.00000003701,
        0.00000003539,
        0.00000002935,
        0.00000003414,
        0.00000003976,
        0.000000031,
        0.00000003608,
        0.00000002909,
        0.0000000289,
        0.00000002917,
        0.00000003278,
        0.00000002952,
        0.00000002859,
        0.00000003008,
        0.00000002925,
        0.00000003751,
        0.00000003658,
        0.00000003572,
        0.00000002923,
        0.00000003162,
        0.00000003903,
        0.00000003528,
        0.00000003311,
        0.00000003007,
        0.00000002914,
        0.00000002826,
        0.00000002804,
        0.00000002779,
        0.00000003204,
        0.00000003277,
        0.00000003564,
        0.00000003345,
        0.00000003005,
        0.00000003542,
        0.00000002893,
        0.00000003544,
        0.00000002804,
        0.0000000285,
        0.00000002737,
        0.00000002722,
        0.00000002716,
        0.00000002818,
        0.00000003749,
        0.00000003118,
        0.00000002902,
        0.00000003,
        0.00000002965,
        0.00000002885,
        0.00000002693,
        0.00000003088,
        0.00000002922,
        0.00000003407,
        0.0000000327,
        0.00000003462,
        0.00000003056,
        0.00000002751,
        0.00000003461,
        0.00000003254,
        0.0000000332,
        0.00000003628,
        0.00000002722,
        0.00000002866,
        0.00000003289,
        0.00000002598,
        0.00000002931,
        0.00000002624,
        0.00000002667,
        0.00000002603,
        0.00000002559,
        0.00000002562,
        0.00000002581,
        0.00000002754,
        0.00000002531,
        0.00000002912,
        0.00000002686,
        0.00000002508,
        0.00000002488,
        0.00000003158,
        0.00000002864,
        0.00000002518,
        0.00000002793,
        0.0000000266,
        0.00000002576,
        0.00000002986,
        0.00000003018,
        0.00000002912,
        0.0000000243,
        0.00000003277,
        0.00000002469,
        0.0000000243,
        0.00000002646,
        0.00000002465,
        0.00000002655,
        0.0000000237,
        0.00000002389,
        0.00000002369,
        0.00000002369,
        0.00000002493,
        0.00000002974,
        0.00000002491,
        0.00000002347,
        0.00000003237,
        0.0000000252,
        0.00000002377,
        0.00000002701,
        0.00000002653,
        0.00000002732,
        0.00000002275,
        0.00000002952,
        0.00000002509,
        0.00000002253,
        0.00000002632,
        0.00000002307,
        0.00000002532,
        0.00000002434,
        0.00000002819,
        0.00000002827,
        0.00000002409,
        0.00000002533,
        0.00000002542,
        0.00000002171,
        0.00000002552,
        0.00000002811,
        0.0000000291,
        0.00000002345,
        0.00000002188,
        0.00000002591,
        0.00000002615,
        0.00000002434,
        0.00000003003,
        0.00000002177,
        0.00000002774,
        0.00000002462,
        0.00000002386,
        0.00000002988,
        0.0000000281,
        0.00000002255,
        0.00000002483,
        0.00000002123,
        0.00000002154,
        0.00000002497,
        0.00000002073,
        0.00000002063,
        0.0000000225,
        0.0000000275,
        0.00000002252,
        0.00000002813,
        0.00000002062,
        0.00000002822,
        0.00000002611,
        0.00000002212,
        0.00000002182,
        0.00000002403,
        0.00000002564,
        0.00000002111,
        0.00000002308,
        0.00000002054,
        0.00000002713,
        0.00000002692,
        0.00000002007,
        0.00000002282,
        0.00000002783,
        0.00000002346,
        0.00000002376,
        0.00000002081,
        0.00000002489,
        0.00000002124,
        0.00000002,
        0.00000001998,
        0.00000001969,
        0.00000002467,
        0.00000001955,
        0.00000002054,
        0.00000002425,
        0.00000001995,
        0.00000002035,
        0.0000000199,
        0.00000002449,
        0.00000002354,
        0.00000002466,
        0.00000001932,
        0.00000002448,
        0.00000001912,
        0.00000002647,
        0.00000001873,
        0.00000002199,
        0.00000002386,
        0.00000001886,
        0.000000022,
        0.00000001859,
        0.00000002123,
        0.00000002326,
        0.00000002007,
        0.00000002162,
        0.00000002185,
        0.00000002564,
        0.00000001976,
        0.00000001951,
        0.00000001965,
        0.00000001953,
        0.00000002118,
        0.00000002542,
        0.00000002294,
        0.00000002378,
        0.00000001807,
        0.00000001833,
        0.00000002302,
        0.00000002098,
        0.00000002063,
        0.00000002261,
        0.00000002208,
        0.00000002053,
        0.00000001966,
        0.00000002346,
        0.00000001855,
        0.00000001855,
        0.00000002017,
        0.00000002346,
        0.00000001781,
        0.00000001781,
        0.00000001851,
        0.00000001906,
        0.00000002083,
        0.00000002271,
        0.00000002271,
        0.00000002373,
        0.00000001873,
        0.00000002113,
        0.00000001854,
        0.00000001766,
        0.00000001774,
        0.00000001774,
        0.00000002018,
        0.00000001877,
        0.00000002293,
        0.00000001775,
        0.00000001775,
        0.00000001908,
        0.00000001924,
        0.0000000174,
        0.00000002154,
        0.00000002288,
        0.00000001725,
        0.00000001785,
        0.00000002259,
        0.00000001692,
        0.00000001721,
        0.00000002004,
        0.00000002083,
        0.00000002234,
        0.0000000198,
        0.00000002071,
        0.00000002071,
        0.00000001998,
        0.00000002007,
        0.00000001836,
        0.00000001687,
        0.00000001705,
        0.0000000208,
        0.00000002061,
        0.00000001674,
        0.00000001723,
        0.0000000176,
        0.00000001697,
        0.00000001676,
        0.00000001715,
        0.00000001707,
        0.00000001846,
        0.00000001707,
        0.00000001821,
        0.00000002189,
        0.00000002014,
        0.00000001781,
        0.00000001685,
        0.00000001942,
        0.00000002001,
        0.00000001626,
        0.00000001942,
        0.00000001802,
        0.00000001613,
        0.0000000216,
        0.0000000209,
        0.00000001968,
        0.00000001822,
        0.00000001611,
        0.00000001728,
        0.00000002055,
        0.00000001569,
        0.00000001542,
        0.00000001878,
        0.00000001628,
        0.00000001987,
        0.00000001542,
        0.00000001643,
        0.00000001715,
        0.00000001803,
        0.0000000162,
        0.00000001584,
        0.00000002027,
        0.0000000166,
        0.00000001695,
        0.00000001617,
        0.00000001522,
        0.00000001847,
        0.00000001505,
        0.00000001747,
        0.00000001511,
        0.00000001932,
        0.00000001512,
        0.00000001775,
        0.0000000183,
        0.00000001574,
        0.00000001477,
        0.00000001498,
        0.00000001487,
        0.00000001676,
        0.00000001461,
        0.00000001692,
        0.00000001835,
        0.00000001449,
        0.00000001661,
        0.00000001443,
        0.00000001476,
        0.00000001645,
        0.00000001496,
        0.0000000189,
        0.0000000148,
        0.00000001937,
        0.00000001587,
        0.00000001683,
        0.0000000177,
        0.00000001735,
        0.00000001457,
        0.00000001471,
        0.00000001613,
        0.00000001848,
        0.00000001954,
        0.00000001662,
        0.0000000142,
        0.0000000139,
        0.00000001679,
        0.00000001607,
        0.00000001536,
        0.00000001536,
        0.00000001587,
        0.00000001794,
        0.00000001407,
        0.00000001658,
        0.00000001512,
        0.00000001501,
        0.00000001696,
        0.0000000159,
        0.00000001827,
        0.00000001891,
        0.00000001759,
        0.00000001759,
        0.00000001677,
        0.00000001384,
        0.000000016,
        0.00000001491,
        0.000000014,
        0.00000001334,
        0.00000001377,
        0.00000001377,
        0.00000001454,
        0.00000001421,
        0.00000001426,
        0.00000001356,
        0.00000001314,
        0.00000001338,
        0.00000001453,
        0.0000000147,
        0.00000001314,
        0.00000001715,
        0.00000001305,
        0.00000001382,
        0.00000001464,
        0.00000001758,
        0.00000001356,
        0.0000000179,
        0.00000001578,
        0.00000001464,
        0.00000001375,
        0.0000000162,
        0.00000001663,
        0.00000001314,
        0.00000001452,
        0.00000001302,
        0.00000001421,
        0.00000001339,
        0.00000001685,
        0.00000001458,
        0.00000001341,
        0.000000013,
        0.00000001281,
        0.00000001652,
        0.00000001259,
        0.00000001508,
        0.00000001251,
        0.00000001416,
        0.00000001273,
        0.00000001755,
        0.00000001665,
        0.0000000133,
        0.00000001472,
        0.00000001472,
        0.00000001283,
        0.00000001564,
        0.00000001232,
        0.00000001339,
        0.00000001471,
        0.00000001265,
        0.00000001355,
        0.00000001236,
        0.00000001263,
        0.0000000158,
        0.0000000131,
        0.00000001245,
        0.00000001565,
        0.00000001267,
        0.00000001279,
        0.00000001279,
        0.00000001237,
        0.00000001208,
        0.00000001358,
        0.00000001406,
        0.00000001365,
        0.00000001189,
        0.000000012,
        0.00000001537,
        0.00000001449,
        0.00000001181,
        0.00000001227,
        0.00000001504,
        0.00000001191,
        0.00000001601,
        0.00000001207,
        0.00000001288,
        0.00000001277,
        0.00000001276,
        0.00000001451,
        0.00000001451,
        0.00000001235,
        0.00000001353,
        0.00000001464,
        0.00000001246,
        0.00000001236,
        0.00000001279,
        0.00000001236,
        0.00000001234,
        0.00000001161,
        0.00000001414,
        0.00000001177,
        0.00000001187,
        0.00000001173,
        0.00000001176,
        0.00000001245,
        0.00000001187,
        0.00000001274,
        0.00000001391,
        0.00000001365,
        0.00000001165,
        0.00000001169,
        0.0000000128,
        0.0000000147,
        0.00000001243,
        0.00000001211,
        0.00000001378,
        0.00000001141,
        0.00000001452,
        0.00000001372,
        0.00000001152,
        0.00000001145,
        0.00000001147,
        0.00000001139,
        0.00000001139,
        0.0000000135,
        0.00000001152,
        0.00000001377,
        0.00000001324,
        0.00000001189,
        0.00000001403,
        0.00000001177,
        0.00000001164,
        0.00000001179,
        0.00000001228,
        0.00000001431,
        0.00000001142,
        0.00000001157,
        0.00000001157,
        0.00000001459,
        0.00000001199,
        0.0000000136,
        0.00000001399,
        0.00000001154,
        0.0000000129,
        0.00000001426,
        0.00000001402,
        0.00000001097,
        0.00000001431,
        0.00000001187,
        0.00000001093,
        0.00000001537,
        0.00000001417,
        0.00000001238,
        0.00000001473,
        0.00000001452,
        0.00000001516,
        0.00000001103,
        0.00000001301,
        0.00000001099,
        0.00000001256,
        0.0000000125,
        0.00000001113,
        0.00000001072,
        0.00000001072,
        0.00000001335,
        0.00000001282,
        0.00000001072,
        0.00000001072,
        0.00000001303,
        0.00000001397,
        0.00000001085,
        0.0000000117,
        0.00000001054,
        0.00000001405,
        0.00000001097,
        0.00000001241,
        0.00000001288,
        0.00000001129,
        0.0000000129,
        0.00000001166,
        0.00000001299,
        0.00000001321,
        0.00000001051,
        0.00000001051,
        0.00000001211,
        0.00000001052,
        0.00000001127,
        0.00000001258,
        0.00000001073,
        0.0000000129,
        0.00000001053,
        0.00000001329,
        0.00000001352,
        0.00000001032,
        0.00000001421,
        0.00000001302,
        0.00000001018,
        0.0000000124,
        0.00000001072,
        0.00000001044,
        0.00000001166,
        0.00000001025,
        0.00000001321,
        0.00000001279,
        0.00000001279,
        0.00000001145,
        0.00000001018,
        0.00000001389,
        0.00000001343,
        0.00000001195,
        0.00000001008,
        0.00000001143,
        0.00000001019,
        0.0000000125,
        0.00000001,
        0.0000000111,
        0.0000000117,
        0.00000001196,
        0.00000001151,
        0.00000001005,
        0.00000001316,
        0.00000000995,
        0.00000001197,
        0.0000000111,
        0.00000001088,
        0.00000001015,
        0.00000001012,
        0.00000001381,
        0.00000001276,
        0.00000001233,
        0.0000000116,
        0.00000001247,
        0.00000001201,
        0.00000001045,
        0.00000001034,
        0.00000000988,
        0.00000000973,
        0.00000001081,
        0.00000001105,
        0.00000001105,
        0.00000001022,
        0.00000001176,
        0.00000001174,
        0.0000000098,
        0.00000001194,
        0.00000001045,
        0.00000001227,
        0.00000001185,
        0.00000001222,
        0.0000000098,
        0.00000001285,
        0.00000001225,
        0.00000000985,
        0.00000000995,
        0.00000000983,
        0.00000001005,
        0.00000001208,
        0.0000000095,
        0.0000000122,
        0.00000001171,
        0.00000001155,
        0.00000000978,
        0.00000000967,
        0.00000001232,
        0.00000000962,
        0.00000001017,
        0.00000001065,
        0.00000000951,
        0.0000000099,
        0.00000001236,
        0.00000001104,
        0.00000000956,
        0.00000001275,
        0.00000001056,
        0.00000001143,
        0.00000000941,
        0.00000001191,
        0.0000000117,
        0.00000001072,
        0.00000001059,
        0.00000001044,
        0.00000000998,
        0.00000001221,
        0.00000000926,
        0.00000001089,
        0.0000000095,
        0.00000001071,
        0.00000000998,
        0.00000001082,
        0.00000001057,
        0.00000000916,
        0.000000012,
        0.00000001139,
        0.00000001219,
        0.00000001118,
        0.00000001043,
        0.00000001172,
        0.00000000906,
        0.00000000994,
        0.00000000982,
        0.00000001193,
        0.00000001075,
        0.00000000899,
        0.0000000123,
        0.00000000928,
        0.00000001122,
        0.00000000901,
        0.00000000912,
        0.00000001205,
        0.00000001047,
        0.00000001133,
        0.00000001109,
        0.00000000888,
        0.00000000924,
        0.00000000924,
        0.00000000931,
        0.00000000956,
        0.00000001118,
        0.00000000962,
        0.00000001092,
        0.00000000899,
        0.00000001114,
        0.00000000935,
        0.00000000909,
        0.00000000907,
        0.00000001078,
        0.00000001223,
        0.00000001053,
        0.00000001159,
        0.00000001179,
        0.00000000872,
        0.00000000902,
        0.0000000097,
        0.00000000954,
        0.0000000087,
        0.000000011,
        0.0000000098,
        0.0000000098,
        0.00000001025,
        0.00000000899,
        0.00000000966,
        0.00000000974,
        0.00000001052,
        0.00000000939,
        0.00000000875,
        0.00000000927,
        0.00000000999,
        0.00000000868,
        0.0000000092,
        0.00000000916,
        0.00000001151,
        0.00000001064,
        0.00000000991,
        0.00000000934,
        0.00000000852,
        0.00000000879,
        0.00000000961,
        0.00000000878,
        0.00000001023,
        0.00000001056,
        0.00000000857,
        0.00000000858,
        0.0000000096,
        0.00000001006,
        0.00000000859,
        0.00000001053,
        0.00000000937,
        0.00000000858,
        0.00000001183,
        0.0000000092,
        0.0000000092,
        0.00000000852,
        0.00000000852,
        0.00000000844,
        0.00000000844,
        0.00000000959,
        0.00000000959,
        0.00000001035,
        0.00000000988,
        0.00000001133,
        0.00000000843,
        0.00000000843,
        0.00000000836,
        0.00000001,
        0.0000000087,
        0.0000000101,
        0.00000000869,
        0.00000000862,
        0.00000000865,
        0.00000001156,
        0.00000000854,
        0.00000000854,
        0.00000000959,
        0.00000000843,
        0.00000000819,
        0.00000000871,
        0.00000001145,
        0.00000000967,
        0.00000000811,
        0.00000001076,
        0.00000000973,
        0.00000000927,
        0.00000000927,
        0.00000001043,
        0.00000001118,
        0.00000001087,
        0.00000000843,
        0.00000000799,
        0.00000000916,
        0.00000000867,
        0.00000001078,
        0.0000000095,
        0.00000000972,
        0.00000000793,
        0.00000000798,
        0.00000000885,
        0.00000000791,
        0.00000000919,
        0.00000000919,
        0.00000000841,
        0.00000000841,
        0.00000001022,
        0.00000000978,
        0.00000000923,
        0.0000000086,
        0.00000000803,
        0.00000000948,
        0.00000000852,
        0.00000000873,
        0.00000000956,
        0.00000000972,
        0.00000000926,
        0.00000000914,
        0.0000000103,
        0.00000000809,
        0.00000000809,
        0.00000000784,
        0.0000000102,
        0.00000000817,
        0.00000001007,
        0.00000000872,
        0.00000000934,
        0.0000000078,
        0.00000001031,
        0.00000000793,
        0.00000001085,
        0.00000000961,
        0.00000000888,
        0.00000000782,
        0.000000008,
        0.00000000945,
        0.0000000085,
        0.0000000103,
        0.00000000775,
        0.00000000775,
        0.00000000951,
        0.0000000076,
        0.00000000802,
        0.00000000866,
        0.00000000766,
        0.00000000768,
        0.00000000766,
        0.00000000769,
        0.00000000776,
        0.00000000771,
        0.00000000822,
        0.00000001002,
        0.00000000828,
        0.00000000973,
        0.00000000839,
        0.00000000842,
        0.00000000756,
        0.00000000756,
        0.00000000747,
        0.00000000916,
        0.00000000769,
        0.00000000756,
        0.0000000083,
        0.00000000831,
        0.00000000776,
        0.00000000757,
        0.00000000977,
        0.00000000737,
        0.0000000094,
        0.00000000881,
        0.00000000881,
        0.00000000768,
        0.00000000945,
        0.00000000789,
        0.00000000894,
        0.00000000887,
        0.00000000848,
        0.00000000778,
        0.00000000778,
        0.00000000843,
        0.000000009,
        0.0000000073,
        0.00000000879,
        0.00000000728,
        0.00000000729,
        0.00000000729,
        0.00000000841,
        0.0000000081,
        0.00000000774,
        0.00000000792,
        0.00000000894,
        0.00000000744,
        0.00000001019,
        0.0000000072,
        0.00000000776,
        0.00000001001,
        0.0000000086,
        0.00000000716,
        0.00000000716,
        0.00000000797,
        0.00000000729,
        0.00000000803,
        0.00000000765,
        0.00000000765,
        0.00000000749,
        0.00000000836,
        0.00000000727,
        0.00000000727,
        0.00000000719,
        0.00000000709,
        0.00000000709,
        0.0000000092,
        0.00000000716,
        0.00000000857,
        0.00000000724,
        0.00000000708,
        0.00000000706,
        0.00000000706,
        0.00000000824,
        0.00000000722,
        0.00000000723,
        0.0000000072,
        0.00000000956,
        0.000000008,
        0.000000008,
        0.00000000868,
        0.00000000769,
        0.00000000745,
        0.00000000848,
        0.00000000703,
        0.00000000719,
        0.00000000818,
        0.00000000901,
        0.00000000783,
        0.00000000783,
        0.00000000909,
        0.00000000711,
        0.00000000705,
        0.00000000712,
        0.00000000733,
        0.00000000708,
        0.00000000708,
        0.00000000695,
        0.00000000695,
        0.00000000736,
        0.00000000733,
        0.00000000836,
        0.00000000928,
        0.00000000768,
        0.00000000685,
        0.00000000792,
        0.00000000837,
        0.00000000682,
        0.00000000752,
        0.00000000817,
        0.00000000681,
        0.00000000803,
        0.00000000681,
    ],
    [
        0.87401491487,
        4.76580713096,
        0.12339999915,
        4.14537914189,
        0.75057317755,
        2.01979283929,
        2.17392657526,
        3.03345312296,
        5.65720860592,
        3.50285419449,
        2.70922969272,
        0.71624098563,
        0.00103492669,
        5.12392705512,
        6.19449424436,
        4.36825124039,
        4.84926431365,
        1.0154556951,
        5.62239507032,
        0.62002007163,
        2.42001514073,
        0.88664463373,
        4.01663904384,
        2.76404999091,
        2.16106790491,
        4.90882849644,
        1.87822014512,
        4.29286414022,
        5.61332771211,
        0.37762569174,
        4.52837189964,
        5.60048517853,
        1.6381402686,
        4.58036001246,
        5.81339199632,
        5.53454487341,
        2.52438740442,
        0.18801837763,
        5.50044242809,
        4.67637379107,
        0.78826176081,
        1.02934559031,
        4.19692495275,
        5.66358935866,
        2.60324364809,
        4.26427762571,
        3.88380796193,
        4.31626349433,
        5.53666910204,
        2.0302886501,
        2.91633632242,
        1.10258326823,
        6.1587188541,
        2.47826941808,
        3.40288166935,
        3.11230524128,
        0.00561711784,
        0.26891980614,
        0.45517914787,
        5.30786967696,
        4.5457344327,
        0.34613786659,
        5.99326135433,
        1.15696233721,
        2.03403080585,
        3.7207336909,
        1.16925812858,
        0.84596173223,
        4.04374864852,
        0.50950816465,
        1.36565416054,
        5.95933511847,
        0.32712024501,
        0.73223929578,
        1.42074759163,
        1.14066267703,
        5.42931189203,
        0.93548005709,
        5.40701545041,
        5.76636557141,
        5.09730517007,
        4.15644325876,
        5.45160906944,
        1.49069183275,
        5.26431553671,
        3.97256605696,
        4.05731806661,
        3.68644263049,
        5.01550706453,
        1.7610497867,
        3.54266754065,
        5.86744835115,
        5.67596672079,
        4.44174561688,
        4.54438827357,
        2.19935832842,
        2.69143754521,
        2.42595077461,
        3.5997714541,
        5.92411007321,
        2.02313657577,
        4.89979449865,
        4.78536735793,
        3.722568034,
        6.25839826307,
        5.41396429448,
        0.2040471412,
        0.47891380184,
        4.99599119065,
        5.82704347671,
        1.13704115272,
        3.83459893564,
        5.9598853286,
        3.80422455282,
        1.29841878389,
        4.55296025129,
        3.23528200552,
        3.46591203463,
        1.65138396031,
        0.58110190109,
        4.30721839854,
        1.46906794476,
        3.41432821062,
        0.23961241737,
        2.67346837599,
        1.08917861648,
        4.86163770046,
        2.19486077696,
        5.81233216238,
        3.70614582002,
        3.41349088844,
        1.91952059017,
        4.57690637056,
        0.90576159835,
        2.01469397505,
        4.77442040057,
        1.92693340665,
        2.89427987517,
        6.22246903964,
        3.97674040211,
        1.35424808982,
        2.96244339722,
        0.92079690947,
        1.72094446975,
        3.10166158268,
        2.27550746905,
        0.80405181178,
        2.79771540666,
        3.90740268282,
        0.40018815531,
        0.57105547911,
        4.42239495907,
        2.07871172739,
        2.82369459311,
        0.3885720341,
        2.54039255853,
        6.19770250859,
        2.53130210328,
        1.39270825866,
        2.70002198759,
        0.47047442681,
        0.32930418795,
        4.67119057391,
        1.86789317281,
        5.40811702089,
        4.7319225122,
        4.37046140723,
        2.19701769819,
        2.13565038243,
        1.3283652472,
        3.63548652605,
        1.64973433253,
        3.23989183406,
        5.4601058409,
        3.55737355039,
        4.90274855427,
        5.0128673148,
        5.86079095869,
        1.03009229022,
        3.85953387637,
        5.91088479684,
        5.3993307048,
        1.04833113678,
        6.1503538662,
        5.6872453346,
        0.6679808653,
        3.54547785742,
        1.3803834945,
        2.57160924287,
        4.7597544817,
        4.28930925743,
        6.03696917524,
        1.52309497166,
        6.11535489175,
        4.48279316993,
        5.1403523665,
        1.28934639885,
        0.04390160982,
        1.97767959737,
        5.654933468,
        2.14597987484,
        0.61890667474,
        1.51525625285,
        1.67555502838,
        3.21407113821,
        2.61655820302,
        2.01870159642,
        4.53462056041,
        3.76320728541,
        5.9131647583,
        1.10529286976,
        5.74870980326,
        4.37056119892,
        4.01771641783,
        3.8637696818,
        1.75360932249,
        4.96019200454,
        5.75032033143,
        5.51056104098,
        0.02154252782,
        4.46555623121,
        3.56598534931,
        4.47228022052,
        3.49559055839,
        4.99775321682,
        4.03701073645,
        2.93667823303,
        2.44114933526,
        5.27870729321,
        6.14885127819,
        5.14394229637,
        0.67418560513,
        2.97753864449,
        3.57393144724,
        1.65487599461,
        3.29103993348,
        2.42508237402,
        2.48812846406,
        4.780443547,
        0.09324510966,
        0.76098657662,
        4.30679581382,
        0.63787759163,
        1.24685071391,
        3.64276765573,
        0.50925452549,
        3.08033197166,
        5.26678343139,
        0.75207673924,
        4.13754942735,
        3.90513550302,
        3.3169057988,
        3.40695394996,
        1.32639271163,
        0.04955573118,
        5.73529325856,
        4.61667825955,
        0.72929791759,
        4.19725789426,
        2.61010005515,
        5.42161597844,
        5.12406505593,
        3.42413570789,
        3.34458985254,
        4.99214316468,
        5.53565697352,
        3.19924734717,
        0.80382302783,
        1.61165618369,
        5.80762617164,
        2.75171852816,
        3.1765260866,
        3.34222854569,
        2.50083511264,
        2.38850764149,
        1.72530780843,
        0.66708846026,
        5.6556240057,
        4.72829633676,
        5.8081172665,
        1.61029914973,
        5.63285421725,
        1.56209297419,
        0.99483567378,
        0.56938816562,
        1.45944172461,
        5.22553112544,
        6.23762101588,
        3.80548274408,
        5.4716924719,
        0.74841730668,
        1.81399388771,
        4.37110941347,
        4.18234578108,
        1.94869447093,
        2.76336361412,
        4.16300130274,
        1.45649238999,
        1.6424685738,
        0.52518586111,
        4.0331632384,
        5.17002113254,
        1.42297994879,
        4.84536515851,
        0.8103038922,
        4.21773911052,
        6.02681746488,
        4.30869132064,
        2.39490064055,
        2.12427858259,
        1.47468327901,
        2.33041461145,
        5.49491788339,
        4.33693429388,
        0.05558729242,
        4.47959291295,
        0.68410696577,
        3.25030344825,
        1.53715431353,
        2.14098849805,
        1.93807777759,
        0.32719875572,
        3.59720610688,
        4.83472817526,
        3.5488136814,
        3.24353670896,
        2.83930960133,
        0.17608698949,
        1.80295838343,
        0.23446317702,
        4.06810365664,
        2.2029393793,
        6.06771895402,
        6.18045942087,
        0.69430051027,
        2.02562031906,
        2.45853219243,
        5.82879783028,
        2.04442457798,
        5.19530696709,
        5.97750450668,
        0.34812529439,
        2.61290558453,
        1.6181028957,
        4.2619123881,
        1.59839688347,
        3.81884583659,
        0.93242756417,
        2.726228868,
        0.09321047637,
        3.27691742733,
        2.35001720349,
        6.26038360145,
        3.08308557258,
        6.18608914757,
        4.81833711198,
        5.15573992685,
        0.28228675547,
        4.17315140812,
        3.35292072076,
        1.4262291965,
        2.84649923006,
        0.61695293583,
        1.20473000691,
        0.0274462668,
        3.09359530816,
        4.68839528191,
        0.94418960401,
        5.36194030187,
        6.18668375333,
        0.73825309757,
        2.38997253041,
        3.53054844171,
        0.0312662389,
        4.0804569554,
        2.5609613199,
        0.16881593879,
        5.78088729365,
        1.58209601288,
        0.57617376095,
        4.97848918827,
        6.18919211339,
        4.52951978106,
        5.0791311625,
        3.40092497147,
        1.18421764248,
        5.67759501336,
        5.74041329041,
        4.49204534403,
        0.73800257133,
        1.30791461253,
        5.77716291851,
        4.71246376027,
        1.92483709708,
        1.2249434607,
        5.72635780004,
        6.01983026969,
        5.15298120408,
        0.76074425315,
        3.82234323799,
        5.69562605727,
        3.45523655555,
        5.00243604255,
        4.56446098577,
        0.33324455917,
        0.39295849664,
        5.56781141579,
        1.11954873085,
        4.10715723619,
        1.40586799806,
        2.64477674752,
        2.85345969595,
        3.16552973997,
        0.89401886908,
        3.36533374596,
        6.11163408466,
        1.53711331943,
        2.58196718879,
        5.13191462514,
        5.95504378991,
        3.96307178488,
        2.08615316919,
        4.8048405286,
        0.60370993867,
        6.04236572471,
        2.47464431042,
        1.55094667019,
        5.11989933898,
        4.49005771863,
        1.76632610072,
        6.06459427723,
        3.10853873073,
        4.45380505884,
        2.33132835068,
        4.1119753953,
        4.50776996086,
        3.38391475216,
        4.08180868423,
        3.66787249773,
        2.03211615844,
        0.49263625994,
        5.9952996787,
        1.21352554632,
        3.98768004395,
        0.44979537196,
        1.46717537926,
        6.20072079882,
        3.13493629794,
        5.17760779965,
        0.83857991425,
        4.05104625234,
        1.57230760584,
        4.65555472093,
        0.06652028564,
        1.60559863103,
        0.98859396839,
        2.49012270106,
        3.89634394974,
        3.59602932397,
        2.48589063916,
        2.96330012868,
        5.57688316935,
        3.68604273428,
        2.34303179257,
        2.62632521648,
        4.89394578356,
        6.02905345714,
        6.21453795302,
        0.0418816173,
        0.00615623981,
        1.89884834343,
        3.30002041912,
        2.19565810576,
        0.96043262389,
        5.08475977345,
        6.18456452708,
        0.63548950495,
        0.72175533744,
        2.85187519613,
        1.71197970691,
        0.15837943003,
        2.84712825648,
        0.86827415264,
        0.26058304344,
        1.17681685755,
        1.48596443213,
        3.55420436272,
        2.92553690245,
        1.11340331736,
        3.07953286472,
        3.34823660722,
        1.41211589868,
        5.77820346759,
        3.73861907459,
        3.25633746796,
        4.84330341651,
        0.81545997217,
        3.74886922172,
        4.81175731698,
        3.32251668307,
        3.73798438144,
        0.70019337757,
        3.61851114795,
        1.92868741776,
        4.73124679745,
        1.6900098251,
        2.25578963103,
        0.45420938431,
        2.9580814433,
        5.8571396258,
        1.8810637287,
        0.39863588958,
        4.7324356854,
        0.63347048675,
        5.09765340751,
        2.30165851435,
        6.13268298688,
        5.04012848689,
        1.24794264854,
        0.34866766006,
        2.51192814934,
        3.86292975641,
        4.28010726699,
        1.51334180608,
        4.48384165181,
        0.40578451478,
        2.29348970322,
        3.53377474522,
        2.92483319573,
        1.45469526113,
        1.6754964886,
        3.0702618307,
        0.25792931265,
        2.54403428184,
        5.58810453278,
        5.33604766656,
        2.48883901199,
        3.42571919082,
        1.75719521673,
        1.32324288348,
        3.69323223915,
        0.13937719095,
        3.20671779872,
        2.59969528542,
        0.89868151046,
        6.12707563148,
        4.15344353916,
        1.52975337199,
        0.08679484081,
        5.84872192947,
        3.56638187846,
        4.40717131664,
        5.00076987801,
        2.36409011623,
        2.54607748587,
        3.71713466857,
        1.87467800066,
        2.87228791193,
        5.57803586395,
        3.53915870761,
        2.40736518098,
        5.94897428321,
        4.48787502141,
        4.22954187784,
        5.30587581385,
        5.47300746239,
        0.38410941425,
        5.02923263215,
        0.27903946815,
        3.1084810543,
        0.84965595278,
        0.10718425313,
        0.14442813021,
        2.97613048908,
        1.52199009068,
        2.06971667626,
        1.24219628349,
        6.12523396053,
        6.07285120389,
        2.43650477347,
        3.01153643104,
        6.07536125242,
        2.04140779152,
        5.23192874336,
        3.71041617725,
        2.56964611043,
        1.45854327689,
        6.26285263273,
        3.18987164241,
        0.23711641897,
        6.25218307104,
        4.61479892752,
        4.15983188816,
        3.21168698004,
        4.70830613247,
        6.25077296647,
        0.82492001036,
        3.30359301299,
        3.10651814375,
        0.03668815157,
        4.27871136207,
        1.27514451558,
        5.88739273505,
        1.18131009643,
        6.09621582994,
        3.23661551748,
        3.29914267725,
        5.27709845883,
        0.75321094297,
        4.0624434478,
        1.06278645094,
        5.86040104652,
        2.15375878438,
        4.98517065544,
        1.54374663198,
        5.66731880104,
        5.61888178859,
        1.33769122464,
        4.62895816065,
        3.77204289063,
        4.22158560955,
        3.37089777455,
        1.39791514296,
        0.22203110018,
        3.95361231238,
        5.55336775323,
        2.18137146685,
        5.06377532297,
        3.11397846224,
        4.81397888311,
        0.62092736572,
        0.19945798941,
        1.75194347964,
        3.13768268695,
        1.75927851154,
        4.99590657727,
        3.0727713488,
        5.9961519935,
        0.76699318042,
        4.77017702394,
        2.91676943616,
        1.76753173425,
        2.67389070738,
        6.2153490892,
        5.37199893369,
        0.30630166172,
        0.31238053169,
        5.74839865243,
        2.13836272063,
        2.18957268546,
        4.75981242464,
        1.69517172807,
        6.12937723629,
        4.99761394207,
        0.36558450473,
        0.46326457877,
        2.37155421942,
        1.81004476813,
        2.85465946217,
        2.21494463682,
        2.67749213694,
        4.36815293872,
        0.92450223186,
        5.7450914092,
        1.34689508017,
        2.9643838871,
        2.98264756234,
        2.46301834168,
        0.75800637269,
        1.97285675652,
        0.04040736838,
        5.33546747079,
        1.52188645554,
        4.16551027176,
        0.93153679046,
        4.60399955084,
        5.23541303763,
        4.36361091765,
        5.98054140713,
        2.75370681275,
        1.14048158507,
        2.40723643991,
        5.0021484906,
        6.24789499113,
        1.63837940688,
        3.19063924466,
        5.33441711554,
        1.91986373629,
        0.29728403273,
        2.63220592483,
        0.09177348842,
        1.81478587044,
        4.06856554799,
        1.08565905389,
        1.66003803389,
        6.17562128071,
        5.17895957732,
        5.57821764943,
        4.01665305123,
        1.8826641242,
        3.51894672028,
        0.48556165492,
        4.23672411657,
        4.43773570062,
        5.58009272761,
        3.9782014756,
        5.84355484645,
        0.33769530075,
        1.63857719213,
        4.11865342199,
        0.60015594538,
        0.83195857087,
        5.33738032742,
        4.20420231489,
        4.12139982038,
        3.77669932178,
        3.36773444346,
        0.14243884205,
        2.72046266179,
        2.54339582028,
        2.22655107118,
        2.83603289141,
        5.03796570992,
        2.69387714803,
        4.38241554958,
        4.58820128164,
        0.91462129399,
        1.77592799454,
        0.04027914669,
        5.62879282141,
        1.78563521014,
        3.20279026751,
        1.24718121251,
        3.46948577873,
        2.71190577157,
        1.03965055384,
        1.3991505951,
        1.27194064881,
        3.90629251299,
        4.92923629549,
        6.20546846687,
        5.79198301588,
        3.55965858898,
        4.62753200111,
        0.09766487939,
        3.35807537498,
        0.9559857552,
        6.0747444934,
        3.20545536162,
        1.88602527977,
        6.27898280696,
        6.08951773665,
        2.69261802946,
        3.7952880265,
        2.32156584631,
        4.21638187695,
        4.84934706586,
        1.42491841284,
        1.76983918803,
        3.02102603461,
        5.20406219171,
        5.91506282258,
        5.41287240833,
        5.03028444466,
        1.90005607885,
        0.01733679462,
        0.49580184666,
        2.37428912808,
        0.10561088119,
        4.81811083501,
        0.45219265612,
        1.33335067145,
        0.65354176165,
        2.72426681922,
        1.24833063898,
        6.24118097005,
        2.65682037428,
        2.89171872688,
        3.36841689456,
        3.8618658557,
        1.98440642041,
        3.38649663082,
        0.00102394272,
        0.08948242268,
        5.8920407863,
        2.77223505114,
        4.55107024764,
        2.43701337444,
        1.8715620613,
        4.485102676,
        2.28450832726,
        5.27910556579,
        6.23450481902,
        4.90896177094,
        0.89543432392,
        0.94637919422,
        4.32326904941,
        5.08881881994,
        5.94884155369,
        2.5992680081,
        3.25297918872,
        4.3953359762,
        5.87214492419,
        1.95210095051,
        2.81881910919,
        3.22806325066,
        1.37795990025,
        5.92051859374,
        4.36672786548,
        5.75335152073,
        1.79966840336,
        2.58075308553,
        2.15566286238,
        5.76892400113,
        0.15761540408,
        3.5547924123,
        1.94180807216,
        4.41396657448,
        2.23711171898,
        4.22542750723,
        3.51633534377,
        0.66283481907,
        1.29638062215,
        0.05817782312,
        1.35829329188,
        2.60511788764,
        6.17750630025,
        3.97326051682,
        6.0760473485,
        0.5737454199,
        1.35532322396,
        0.39800874682,
        4.61643541892,
        2.35979437658,
        2.48785028898,
        1.74992346676,
        1.62452877443,
        4.29624613644,
        2.36284513741,
        3.87250231635,
        0.53084594475,
        6.14182394487,
        3.93985644686,
        3.27322993659,
        5.03449455718,
        2.59606158308,
        0.76470523272,
        6.08347168017,
        1.63759710678,
        4.49162081829,
        2.40747801188,
        1.53974993955,
        2.84703772391,
        3.25946441452,
        4.28288912869,
        4.94895033186,
        3.02260106254,
        4.31417662024,
        1.37932220229,
        1.22293688706,
        3.69180714802,
        1.48800604479,
        3.91151906705,
        5.17190850506,
        5.15022034917,
        2.13385617362,
        4.51033589337,
        2.56818287176,
        0.59008062582,
        4.00525270573,
        1.06369744472,
        3.02874986191,
        4.42905792653,
        1.67678982628,
        0.04731871122,
        5.45653203333,
        0.67579092414,
        5.73872165534,
        2.55127874457,
        2.32469404402,
        6.06018875597,
        1.61871389354,
        5.39402662205,
        3.74116326543,
        5.0297230003,
        2.40544724008,
        5.79770704301,
        3.17906379215,
        0.99307096935,
        3.02066477143,
        0.35371355288,
        1.86348422475,
        4.79812800922,
        0.09149815737,
        3.40399529731,
        5.77727217314,
        1.39114507199,
        5.5208196703,
        0.77274894862,
        0.41941287758,
        3.77827896207,
        5.61713898188,
        0.05335845955,
        6.26135869387,
        1.76885678471,
        0.58940873359,
        5.501461104,
        4.44903100722,
        5.79491653729,
        1.19286005781,
        0.6654902509,
        3.09420329388,
        1.79542287271,
        5.43816540149,
        6.12709991872,
        2.35225677161,
        2.03290295505,
        6.25943152476,
        0.09529125238,
        5.68471426394,
        2.31649860836,
        0.80289944068,
        3.51315539521,
        6.06370454687,
        2.05095023209,
        3.12125648181,
        3.19533526201,
        3.21632443448,
        0.76539820211,
        5.67484207544,
        5.73650670449,
        3.34774899951,
        1.54189437048,
        0.62968033303,
        1.30288660608,
        1.91859895835,
        0.99447912964,
        4.78098070731,
        3.68743535734,
        5.00411789229,
        0.71124772957,
        6.04641962947,
        4.38605840365,
        2.54795843844,
        0.42879092939,
        4.67524250178,
        0.56276653096,
        1.51996664773,
        5.4243549602,
        5.47321184962,
        5.77967962177,
        4.49110882286,
        5.87000879666,
        3.30135414196,
        0.49478776063,
        5.98784026769,
        5.15665153614,
        4.79114703105,
        5.55382992269,
        5.63672980083,
        2.5313939193,
        5.63042033123,
        4.94368042854,
        1.39236562914,
        3.1940179735,
        3.88757447538,
        4.18648503875,
        4.61941921678,
        1.68316643353,
        1.57789085262,
        1.37569567707,
        2.8512682026,
        0.42178511059,
        1.49116821094,
        3.72176257939,
        3.43242481594,
        3.18729036913,
        5.57721164364,
        2.84130388631,
        4.81933144237,
        2.93071896451,
        5.65077716051,
        0.70345966091,
        2.60125938503,
        4.84673734698,
        2.16436514227,
        6.11246793909,
        3.73747518933,
        5.04861447966,
        6.16508948002,
        2.283742842,
        4.2856835041,
        4.84117827365,
        0.42309281218,
        2.49237479764,
        3.18782799716,
        5.6254610266,
        0.36144458092,
        3.8477641575,
        4.92819058549,
        4.11923173602,
        5.03795321512,
        4.29307292418,
        4.38201838371,
        1.09022528624,
        4.32042192539,
        5.41283074173,
        3.03119388396,
        1.85843228263,
        5.94461285605,
        2.34556628241,
        3.39845797997,
        3.41993367044,
        1.20237501348,
        4.14830731658,
        4.68217317963,
        4.18140490995,
        0.09918698761,
        5.30260514224,
        3.81127477948,
        2.2042887529,
        5.72715613582,
        5.44565533795,
        5.22645171015,
        5.43177787536,
        4.85679865938,
        4.44425417057,
        1.37075793389,
        2.96960847626,
        0.10864564758,
        4.89705379851,
        1.05865131896,
        1.23637523349,
        6.035641212,
        1.19543136025,
        2.21363155069,
        0.72561113063,
        1.42953521228,
        0.09007052734,
        4.79955563925,
        0.50168099105,
        4.33435972105,
        0.84619898753,
        0.34905244092,
        0.29093412404,
        1.42149182994,
        0.78421951437,
        4.13635893946,
        5.65635028403,
        6.22572039721,
        5.01635723372,
        4.98407371709,
        2.69456119616,
        0.26596132798,
        5.3110566153,
        0.06905219404,
        0.06938395849,
        5.57013725657,
        1.39831832915,
        2.87641336936,
        1.25158403063,
        2.53741677974,
        4.78850933616,
        2.06510339841,
        5.87953687212,
        0.57295696271,
        3.5382633774,
        4.94677202632,
        5.05440665939,
        1.40777379919,
        6.25927800152,
        6.06131115428,
        0.83945558776,
        2.05005363555,
        0.45858366119,
        4.52964007791,
        2.25920260691,
        1.23297991754,
        1.77733414246,
        1.51170975386,
        5.10091194872,
        2.20832557634,
        1.12916710018,
        4.58159314523,
        2.90784233814,
        5.78180514444,
        3.55976780702,
        1.90326495607,
        1.25593176769,
        3.54688775335,
        1.34273841324,
        1.72244772023,
        2.96079468399,
        2.23671986356,
        3.16101908686,
        2.78507591828,
        5.2843804527,
        2.57278849479,
        4.81379904529,
        3.11446745439,
        5.85679753021,
        1.83861016216,
        1.2471404761,
        1.02908638657,
        5.12647471004,
        0.59959878781,
        5.7648324255,
        0.48718423619,
        4.32351780506,
        4.06613062205,
        1.72276410779,
        0.48979574513,
        2.1314536783,
        4.52428970078,
        5.66152224756,
        5.25154254711,
        1.36703927103,
        4.57298587668,
        5.16157036991,
        3.38375104988,
        4.38434583704,
        2.81665065444,
        5.73555133647,
        0.9988812244,
        2.61545309154,
        6.15560691139,
        2.17943640249,
        2.25042510426,
        2.47118725916,
        1.70469953307,
        5.51370123281,
        3.43410376988,
        1.66981893495,
        2.02096060057,
        3.43547714123,
        4.1019718721,
        3.52591083414,
        6.13610992998,
        2.79714159952,
        1.3711264981,
        5.61293728889,
        5.36858469376,
        4.38444688669,
        2.16332343815,
        0.11299799349,
        5.67168406954,
        2.44010514833,
        2.75759654641,
        4.40192840756,
        4.75841138753,
        0.11083820522,
        4.40244200779,
        0.55121382371,
        4.69701413463,
        1.85424910273,
        2.10432417506,
        2.3056780956,
        0.37526043126,
        5.26877747316,
        5.4187308494,
        1.2188473875,
        3.73879814102,
        3.09434225481,
        2.46590151702,
        5.48742211953,
        5.71514726491,
        5.33945085702,
        3.29647513212,
        1.58377397053,
        4.81351175785,
        5.92886276832,
        6.09210931343,
        2.2459120863,
        6.14849506249,
        2.70578228663,
        0.16426971475,
        5.41338556991,
        3.55568779756,
        2.20556239264,
        2.14594096655,
        2.19525628405,
        2.76762924657,
        1.90912932797,
        2.73211415857,
        3.51215591822,
        0.5708523252,
        4.99737516135,
        1.60917289432,
        3.91979165512,
        4.71971708944,
        5.36447720972,
        4.26277399169,
        2.63019535055,
        2.83456084033,
        4.86434568068,
        3.83544556347,
        0.15925446852,
        1.97837844361,
        3.20204119275,
        0.65282282373,
        1.21917033622,
        3.93587358039,
        2.94738171561,
        3.15325492704,
        0.14454041746,
        1.55320502134,
        5.15417052486,
        4.22692425727,
        1.26440767301,
        4.17742655482,
        0.43788807135,
        5.16272782845,
        3.36163487366,
        2.87544505422,
        5.30662457895,
        2.29846468477,
        4.38325797699,
        0.90337052069,
        0.84466299231,
        2.2779376959,
        2.14395876897,
        3.11641893226,
        3.9429194492,
        4.15223587316,
        6.17195337179,
        1.72451258399,
        5.31018762949,
        0.6183905939,
        4.84630107056,
        3.01865971091,
        2.31378455663,
        4.52000559703,
        2.2268916345,
        5.22086889296,
        5.65143265211,
        5.13544500097,
        2.93786049007,
        4.33639017787,
        5.81289553813,
        6.23011689079,
        5.04860084233,
        2.08891387679,
        0.6253355984,
        1.71107443815,
        1.38980153585,
        4.77695576046,
        5.85946991886,
        5.37105971182,
        0.63794997691,
        0.54729482995,
        0.5532824448,
        0.06003858313,
        2.60567333935,
        1.24195655197,
        5.75946440696,
        4.37257867425,
        4.23764191275,
        5.72676129521,
        0.261655438,
        5.73996136268,
        0.34275870459,
        1.01602323535,
        0.09006336245,
        5.0815403581,
        4.77672198594,
        5.37793469323,
        1.30459159563,
        2.78563182902,
        0.73865142296,
        0.67146633927,
        3.09009791052,
        0.55025625817,
        5.6446055133,
        5.06007050383,
        2.26991708124,
        3.29999345582,
        5.244199599,
        3.09970342539,
        1.10667438189,
        0.18767262914,
        2.83455718298,
        3.46492872207,
        4.8262609747,
        3.9770873947,
        5.96960035551,
        1.1075371131,
        2.10189023227,
        5.97615262196,
        0.24199244027,
        1.71637966221,
        1.38456498657,
        0.87882959914,
        1.16140871474,
        2.64714107906,
        4.07410590523,
        4.28534276753,
        5.64222397445,
        4.31478927336,
        1.20144466178,
        3.51585269206,
        5.70604510094,
        1.21196311089,
        3.95236750027,
        6.06475548762,
        4.86893514364,
        6.01524298699,
        5.39710784329,
        4.03618137033,
        4.15979534815,
        4.74856771776,
        3.67398938648,
        1.27634409007,
        4.59517360138,
        5.90565481193,
        6.24913643216,
        2.02542462393,
        3.86722734363,
        0.08752711773,
        3.27975163184,
        3.80946898193,
        2.72529355918,
        4.3477072576,
        0.16994068938,
        0.28051618477,
        5.31857052688,
        0.97161359133,
        4.30830792029,
        2.25943126416,
        5.74355401552,
        0.08769001353,
        5.99370738678,
        1.40921864289,
        0.06326079599,
        3.72658018441,
        6.03016819317,
        0.23030073846,
        3.60752296582,
        3.60752296582,
        4.33634384614,
        5.76125045506,
        1.54883325886,
        0.19920025414,
        2.90153472874,
        0.30653739166,
        6.04860095971,
        6.07739006315,
        5.09542141062,
        5.71475634706,
        1.44953658425,
        4.95085993537,
        5.40160586575,
        0.87455416846,
        3.12295108906,
        4.90826773112,
        2.80222834013,
        0.8674687852,
        6.18682503815,
        5.64171842529,
        2.38950039489,
        4.75541799866,
        0.05325859053,
        3.73739180897,
        0.40104075464,
        0.41986539828,
        5.50474519843,
        4.98048380603,
        2.6098062646,
        5.01579761567,
        5.21316754257,
        4.26613787249,
        2.24513842982,
        5.54983389111,
        2.56001945144,
        3.58320191234,
        2.05739621883,
        0.36777686598,
        0.88372371587,
        2.92694247168,
        5.33007261538,
        2.31286181244,
        1.45709625903,
        5.09975785401,
        2.74515959016,
        1.32784221906,
        2.25500156442,
        4.20915600472,
        2.04112487415,
        2.13305723286,
        2.05213240355,
        0.24646975759,
        1.11053782306,
        1.68122578438,
        0.22703640405,
        5.22602330033,
        1.68206567806,
        2.7720966058,
        0.62509516046,
        2.79560236728,
        5.14783884729,
        3.67591631329,
        2.72673271293,
        3.84799104836,
        6.02089758599,
        0.77231653699,
        3.13421198037,
        5.1974273947,
        0.79920795326,
        1.00799863461,
        3.93160223679,
        4.53671161147,
        5.32956278183,
        5.27282154972,
        3.80471189414,
        5.87487529487,
        0.20693930936,
        4.14805608546,
        5.05123310391,
        3.56272450751,
        0.62227051964,
        5.2841818117,
        3.9180733234,
        4.88325679293,
        3.99389886352,
        2.39206154532,
        5.52616009652,
        2.06358167839,
        4.00358265141,
        0.0310239212,
        2.76524724862,
        1.42317332409,
        0.91625215222,
        2.24504797682,
        0.63475720612,
        3.93642970138,
        2.05303400646,
        1.98604024579,
        4.04993820708,
        5.4378330885,
        1.38524899881,
        3.46209472083,
        5.85414378465,
        5.42328914768,
        1.7224528989,
        3.36134760735,
        5.38971328268,
        5.17910426695,
        3.22754175149,
        3.64866692511,
        3.14944647582,
        3.473389533,
        0.32048665561,
        4.01550009219,
        5.08423811097,
        2.28799872431,
        3.01927816891,
        0.70642591223,
        1.78409994223,
        2.55365760167,
        4.83592161734,
        0.44336441806,
        6.1195551687,
        0.11880365257,
        5.97438658773,
        0.73844026178,
        5.89479692757,
        5.89479692757,
        5.49922746524,
        2.66160697296,
        0.85219523429,
        2.48037578229,
        4.28907569036,
        6.1875034118,
        2.90084876328,
        0.23710525653,
        0.61806717369,
        5.00801645038,
        4.58582597435,
        3.44539284583,
        4.23577119544,
        4.27737882618,
        5.43870126795,
        1.31312182045,
        0.26007468679,
        0.72637373445,
        0.8642851762,
        4.02534099039,
        3.28359870251,
        4.52961540751,
        3.01357344337,
        5.87449410633,
        2.71429002268,
        3.51731603639,
        0.57533096444,
        3.81098724259,
        2.0878397212,
        6.08299477871,
        2.73772701133,
        0.52411582569,
        1.92663592308,
        3.53136981753,
        4.562569302,
        2.61933789345,
        5.37892573514,
        4.41309699814,
        0.61137430521,
        0.47405441337,
        4.95313251291,
        0.02379514725,
        0.95390444904,
        4.0974972738,
        2.52300558725,
        2.72026084734,
        6.07730679616,
        3.04961044313,
        0.47332489447,
        3.88742356206,
        4.57888575454,
        5.63517331024,
        0.41488838005,
        1.65590855031,
        0.56339346105,
        0.73841384971,
        0.60463815018,
        0.25702827395,
        0.62988003125,
        2.6178497834,
        3.64179989725,
        3.64179989725,
        2.09085692852,
        1.45141699498,
        2.01286113512,
        3.55159228628,
        5.32263840566,
        3.33952901594,
        3.06105542076,
        1.64676624453,
        4.89869307825,
        4.87533968051,
        5.18861487187,
        5.0829442756,
        3.90450910087,
        5.32574708258,
        1.12013287366,
        0.62790063934,
        3.25551290814,
        1.32712565413,
        4.00471985016,
        5.51451351576,
        0.53588394734,
        4.92462455483,
        0.49702267118,
        3.54508824305,
        3.08273741016,
        1.33018054312,
        5.69576717158,
        2.57217010618,
        1.4957990758,
        1.72354458106,
        0.96898843462,
        4.69433760178,
        0.2765564572,
        2.61558896767,
        1.05411548466,
        1.05411548466,
        3.4329720182,
        3.76027139434,
        0.02257079027,
        5.61078961339,
        2.50843841662,
        0.03215301642,
        4.30746328208,
        4.16726551204,
        1.82750814245,
        1.60384951308,
        4.62142425135,
        1.03828381736,
        1.60433079541,
        2.90358611485,
        4.65509615846,
        3.72181414929,
        0.56033904615,
        0.02309515967,
        5.22737241965,
        1.16402753194,
        1.54612792835,
        2.60261684467,
        0.46274502064,
        0.16760981697,
        2.29834110056,
        4.48082815431,
        4.65662492035,
        3.82619301322,
        3.12283015772,
        5.71979516304,
        5.20900865265,
        5.23246594483,
        3.77606446333,
        4.25515435685,
        3.52660754473,
        5.11322028459,
        0.50068712612,
        3.36678513643,
        2.65397891656,
        3.67339271391,
        1.82821053485,
        5.16928967595,
        5.67584375514,
        6.14893570078,
        3.53241753707,
        3.42129382875,
        3.17352979808,
        0.03193714449,
        5.5911885459,
        3.3281550303,
        6.23249225628,
        0.26308817006,
        3.90218563691,
        5.88751484616,
        0.71297202771,
        5.49844037291,
        4.39996766325,
        4.14934397552,
        1.09475241758,
        6.27482624765,
        2.26997973747,
        0.74675814459,
        4.45159537738,
        1.81109515353,
        2.08713835729,
        5.88783767141,
        4.63060901499,
        1.44654929805,
        5.99645868304,
        1.98238644435,
        3.85798606392,
        3.14740146804,
        4.02039116236,
        4.01082765782,
        0.17870194529,
        4.54628381109,
        0.62535496972,
        1.12267854328,
        3.69503246823,
        5.45476565968,
        2.72676641341,
        2.12202833962,
        3.95603977178,
        4.62229591705,
        4.60268688107,
        5.1129587839,
        0.42374008522,
        3.07767826513,
        0.79377005415,
        5.05925238169,
        5.43314879441,
        6.10687737458,
        4.35040361644,
        4.35040361644,
        2.8099152349,
        3.86792125865,
        0.31244064224,
        4.40841524052,
        2.88134377608,
        4.4882158546,
        4.63251123701,
        5.03792511567,
        1.20612298463,
        5.79901826701,
        0.04765558923,
        0.47222793041,
        1.5257756341,
        0.29711496611,
        4.40309497596,
        0.40386153641,
        3.33113338762,
        0.01753129634,
        4.43670480817,
        4.51516906631,
        3.51604975387,
        6.17371704189,
        2.91596221445,
        5.24370269936,
        3.88682161226,
        0.85808512318,
        4.30738828647,
        5.21944528509,
        4.91718332635,
        5.68253927507,
        2.13999178433,
        1.66567300271,
        1.26049852836,
        4.77831019397,
        2.51852068637,
        5.76224230474,
        1.32295596105,
        4.20379456134,
        1.26595437757,
        2.98882017733,
        4.97175423832,
        1.4722877236,
        1.77286703845,
        3.3044223356,
        4.48973341413,
        5.35220662775,
        6.23737046615,
        3.58622778979,
        3.09828888291,
        1.49017361423,
        2.46164938759,
        2.46330736551,
        3.932736257,
        2.34160070624,
        0.59883609919,
        1.14919741381,
        0.9965567052,
        5.83186908907,
        0.61580453745,
        3.06958429681,
        4.57575815213,
        3.1724671074,
        3.94543045845,
        2.30979572901,
        3.21080779639,
        2.09680719136,
        2.5132953491,
        2.82333756383,
        3.52739874813,
        0.7922735027,
        1.11328788816,
        5.19307115578,
        4.61381839173,
        2.91396525108,
        4.63270249547,
        2.39322957185,
        1.80072310652,
        4.67862862927,
        0.19601324126,
        3.28428140208,
        5.17770276952,
        1.746836744,
        1.12354067485,
        5.15428525662,
        0.33566024066,
        4.27499899029,
        2.1249516774,
        2.78082151468,
        3.95835597791,
        2.4142042118,
        5.253892698,
        4.62379540315,
        0.13148121604,
        0.78792987093,
        2.19877879267,
        3.53258689279,
        1.75718704182,
        2.70657811539,
        6.0779846832,
        5.46179970939,
        0.06304982526,
        0.83670377886,
        1.11068546883,
        5.72763556428,
        5.25069693345,
        1.31797828563,
        2.63738626919,
        4.51772187194,
        5.00077006154,
        4.61690528448,
        1.34949230498,
        1.52618503474,
        6.01779016946,
        4.97943583685,
        1.83692702793,
        3.40437661999,
        0.19326102993,
        1.79436431149,
        0.95306018744,
        2.60934825737,
        4.83201886555,
        0.19423881613,
        4.9680279645,
        1.41505691677,
        4.09366056977,
        0.22623020333,
        5.06097777553,
        6.09594487703,
        6.13890404543,
        2.63079629477,
        5.77238894836,
        4.56641553803,
        2.4736497911,
        4.83663685761,
        1.78028349992,
        0.85875789744,
        2.86831464473,
        1.71021700338,
        1.95269050544,
        2.8434106843,
        3.53818082973,
        2.11362323812,
        5.59274764012,
        5.34256956029,
        1.80620732752,
        5.56984888168,
        1.92760134845,
        6.00836364296,
        0.92585247141,
        4.49316887147,
        5.19978000768,
        5.62879482377,
        1.25124342498,
        4.39283607857,
        3.23838487665,
        0.54202019063,
        1.79575119893,
        0.2762638787,
        6.22307301865,
        4.72156953852,
        2.22995963009,
        0.12921366968,
        5.03574675925,
        2.01963693018,
        0.32639183017,
        1.52011458512,
        1.92144343659,
        0.14103713575,
        1.62300930873,
        1.28685601483,
        6.16455890838,
        3.35373437012,
        2.59929190647,
        1.53529030972,
        3.25205599061,
        0.94712347846,
        3.62784678051,
        4.37974924972,
        0.24582787127,
        1.79633164069,
        2.62618934557,
        4.19119124113,
        1.0031418852,
        0.41037816799,
        2.27973890086,
        1.30633459352,
        4.44792724711,
        0.72219554639,
        3.86378819998,
        2.53592267944,
        5.67751533303,
        1.94261627589,
        2.9470098907,
        4.17393929319,
        5.11539514032,
        4.924354079,
        0.19283077743,
        4.69679538916,
        6.26008270853,
        0.00060532281,
        1.56871527769,
        3.29456379641,
        1.69757216185,
        0.89788175589,
        2.71043672332,
        0.63783988377,
        3.20756177408,
        3.20756177408,
        0.011253191,
        5.93933593135,
        5.32247266092,
        2.39559363846,
        2.59566377091,
        1.79131153995,
        3.51067946836,
        0.55295132771,
        0.39005913258,
        2.26192813378,
        5.7692906864,
        3.8083329949,
        5.22401073053,
        0.94496532019,
        5.30493118625,
        2.23950305681,
        1.67106075742,
        0.75856039322,
        5.29407779979,
        0.01679256709,
        1.35094632973,
        3.97038609207,
        2.46893889261,
        0.81574627494,
        4.63298065332,
        2.21054616872,
        5.35213882231,
        5.71772687954,
        5.71772687954,
        3.33436205114,
        4.52983537485,
        3.89253221329,
        5.19233645312,
        2.43021611713,
        2.63670367258,
        1.68072750753,
        5.56384706144,
        4.90457947532,
        3.15655108462,
        4.87388996442,
        0.82646186068,
        1.54922251715,
        0.02318871977,
        2.35631924662,
        1.33531692413,
        3.91431359487,
        0.58884416481,
        5.89584195442,
        2.51565061639,
        0.00461953261,
        4.93205218405,
        0.90633658665,
        5.830913848,
        2.59531505198,
        4.24333704051,
        3.27274826634,
        0.97176938732,
        4.78070775485,
        2.48989407033,
        1.8812729593,
        2.74042787073,
        1.42999892472,
        4.57159157831,
        2.79912666955,
        0.06105636609,
        2.87236079717,
        3.55253106731,
        0.39602652848,
        3.19838844999,
        6.03837318319,
        4.30008269962,
        4.3568045163,
        1.21518951297,
        4.4191366894,
        4.18366137124,
        2.60868899519,
        5.48773198848,
        0.93524853813,
        3.25093404707,
        0.00983905715,
        3.15143171073,
        6.11050160069,
        5.2449071633,
        1.54076301375,
        2.12064124784,
        1.92350323862,
        0.7728031325,
        1.38249726509,
        4.23072662628,
        6.20713264303,
        3.5415531345,
        2.94283899053,
        5.71084129732,
        5.46197017645,
        2.97725228498,
        5.11643863868,
        2.80405308992,
        5.28864466497,
        0.33081399998,
        0.1688103746,
        0.01629844158,
        3.15789109517,
        1.02624495037,
        2.19862220278,
        3.17028402119,
        3.20284714972,
        4.17683406683,
        5.48820634686,
        2.34661369327,
        0.88660531241,
        6.22385696664,
        1.63307607705,
        1.63932414999,
        1.22695933225,
        5.76295987616,
        4.06927095682,
        6.27725825901,
        1.68634145832,
        2.29066167531,
        1.85082345148,
        2.80780296922,
        5.94939562281,
        0.88312421788,
        3.0886139593,
        2.56866081755,
        1.92150517901,
        5.0630978326,
        3.86728999613,
        4.09079447369,
        1.76200509604,
        1.76200509604,
        1.08122225861,
        2.16805792847,
        2.16805792847,
        3.3794883925,
        3.0198438852,
        4.73776093669,
        4.70354725719,
        4.72112546056,
        4.9567965899,
        4.9567965899,
        0.35265072853,
        3.07523457584,
        0.7457106786,
        1.80911156979,
        1.61313021087,
        4.60599313494,
        0.28363303165,
        5.0888600477,
        4.42409463602,
        4.41268882152,
        4.34921581475,
        0.03980855697,
        2.9642143182,
        3.5819594706,
        5.50487267537,
        0.40400095682,
        1.34403255618,
        5.35487801471,
        0.19813010381,
        1.55599502521,
        4.50433897135,
        4.93048865178,
        2.84637541601,
        5.98796806961,
        4.51136204527,
        4.51136204527,
        1.20053248385,
        0.72827400906,
        3.44633331041,
        2.16436836139,
        5.27501406783,
        5.86089797553,
        1.62315871295,
        5.42340126188,
        4.8856399027,
        2.13635874109,
        1.53257391407,
        2.40403440268,
        5.00204662708,
        0.38545629971,
    ],
    [
        213.5429129215,
        0.2438174835,
        426.8420083595,
        206.42936592071,
        220.6564599223,
        7.3573644843,
        110.45013870291,
        419.72846135871,
        640.1411037975,
        213.0552779545,
        316.6356871401,
        529.9347825781,
        433.9555553603,
        102.84895673509,
        205.9417309537,
        103.3365917021,
        419.2408263917,
        323.74923414091,
        11.2895177474,
        227.77000692311,
        633.0275567967,
        209.6107596584,
        217.4750661846,
        202.4972126576,
        224.5886131854,
        853.4401992355,
        14.47091148511,
        199.3158189199,
        63.49208081989,
        216.72430665921,
        210.36151918381,
        415.7963080956,
        117.5636857037,
        735.6326960483,
        522.3336006103,
        647.25465079831,
        426.3543733925,
        149.8070146181,
        75.0254160508,
        277.2788112249,
        309.0345051723,
        1059.6257476727,
        490.5779066629,
        352.06040979221,
        743.23387801611,
        6.86972951729,
        309.5221401393,
        1052.02456570489,
        838.72547026689,
        95.7354097343,
        316.14805217309,
        3.6883357796,
        441.06910236111,
        846.3266522347,
        220.16882495529,
        412.6149143579,
        198.82818395289,
        537.0483295789,
        4.1759707466,
        38.3768531213,
        211.09523236671,
        215.99059347631,
        422.9098550964,
        202.0095776906,
        109.9625037359,
        212.579705075,
        214.506120768,
        213.4947288117,
        213.5910970313,
        625.42637482889,
        632.5399218297,
        136.78920667889,
        522.8212355773,
        330.8627811417,
        437.8877086234,
        86.07111631471,
        138.76131435421,
        203.9816853659,
        288.32451148881,
        76.50988875911,
        629.0954035336,
        1066.7392946735,
        127.22797912329,
        9.8050450391,
        1155.1173399235,
        223.1041404771,
        1368.4164353615,
        430.7741616226,
        412.12727939089,
        3.42521122121,
        423.66061462181,
        388.70897272171,
        736.1203310153,
        96.2230447013,
        12.77399045571,
        213.0216480597,
        214.0641777833,
        529.44714761109,
        52.446380556,
        430.02340209721,
        1.7282901918,
        625.9140097959,
        860.55374623631,
        341.01470952831,
        948.9317914863,
        350.5759370839,
        941.8182444855,
        234.8835539239,
        1471.50920958009,
        363.1061100561,
        174.1860370063,
        201.01273994931,
        515.2200536095,
        1684.80830501809,
        742.74624304909,
        949.4194264533,
        210.6221516147,
        703.8770021009,
        216.4636742283,
        212.79215339611,
        214.2936724469,
        209.35012722751,
        217.73569861551,
        223.83785366,
        340.52707456129,
        226.07308589371,
        565.35950523021,
        88.6218627335,
        1265.32366114289,
        252.8997888367,
        417.2807808039,
        956.53297345411,
        563.87503252191,
        207.913838629,
        208.1262869501,
        728.5191490475,
        639.6534688305,
        218.9595388929,
        1162.7185218913,
        219.171987214,
        22.3352180113,
        160.852714882,
        301.9209581715,
        21.5844584859,
        99.40443843901,
        845.8390172677,
        265.745475994,
        18.40306474821,
        554.31380496631,
        62.0076081116,
        124.6772327045,
        218.2087793675,
        231.70216018621,
        425.35753565121,
        414.31183538731,
        408.68276109481,
        1258.21011414209,
        215.0273856298,
        64.97655352819,
        142.6934676173,
        208.8770464755,
        71.09326278771,
        203.247972183,
        266.233110961,
        654.3681977991,
        1787.9010792367,
        251.6759485593,
        212.05844021321,
        479.532206399,
        1589.3167127673,
        148.32254190981,
        213.6547875061,
        213.4310383369,
        1581.7155307995,
        2001.2001746747,
        302.40859313851,
        198.5650593945,
        98.6561710411,
        213.7553612426,
        213.3304646004,
        750.3474250169,
        151.2914873264,
        1059.1381127057,
        228.5207664485,
        831.6119232661,
        175.40987728371,
        2.20386307129,
        276.79117625789,
        56.3785338191,
        114.38229196601,
        178.11819026941,
        1479.11039154791,
        311.9552664791,
        195.38366565681,
        192.2022719191,
        636.2089505344,
        278.76328393321,
        191.45151239371,
        1162.23088692429,
        205.46615807421,
        327.68138740401,
        248.9676355736,
        10.538758222,
        213.80354535241,
        213.28228049061,
        433.46792039329,
        106.5179854398,
        1044.9110187041,
        63.9797157869,
        1574.6019837987,
        483.4643596621,
        221.61966776881,
        479.044571432,
        13.9832765181,
        424.39432780471,
        6283.3196674749,
        235.6343134493,
        275.7943385166,
        70.6056278207,
        544.1618765797,
        842.3944989716,
        404.7506078317,
        2104.2929488933,
        121.4958389668,
        138.2736793872,
        497.69145366371,
        284.39235822571,
        8.32057233081,
        190.9638774267,
        429.28968891431,
        1898.10740045609,
        651.1868040614,
        425.878800513,
        219.6932520758,
        270.1652642241,
        426.8901924693,
        39.6006933987,
        404.2629728647,
        501.62360692681,
        426.7938242497,
        312.70353387701,
        355.99256305531,
        618.3128278281,
        210.8345999358,
        216.2512259072,
        427.805216206,
        84.5866436064,
        489.0934339546,
        213.38285422711,
        213.70297161591,
        220.7046440321,
        2317.5920443313,
        1280.0383901115,
        207.3925737672,
        492.06237937121,
        1052.51220067191,
        839.2131052339,
        220.60827581251,
        189.1638905333,
        344.9468627914,
        1148.00379292269,
        602.00806815971,
        179.6026629777,
        73.5409433425,
        289.8089841971,
        359.173956793,
        436.4032359151,
        1375.52998236229,
        142.20583265029,
        107.2687449652,
        636.95971005981,
        10213.5293636945,
        644.0732570606,
        212.27088853431,
        214.81493730871,
        621.98185653281,
        237.9219353097,
        4.9096839295,
        194.89603068979,
        1795.5022612045,
        113.6315324406,
        1890.9938534553,
        1478.62275658089,
        206.3811818109,
        515.70768857651,
        247.4831628653,
        5.872891776,
        216.9874312176,
        31.9995114309,
        114.6429243969,
        127.71561409031,
        767.61290040431,
        181.2995840071,
        10.8018827804,
        2.9375762542,
        35.6685401356,
        206.47755003051,
        220.1351950605,
        415.3086731286,
        245.7862418359,
        1073.85284167431,
        643.32249753521,
        426.3207434977,
        2214.4992701127,
        39.1130584317,
        2420.68481854989,
        448.1826493619,
        1361.3028883607,
        78.9575693139,
        209.12312469139,
        67.424234083,
        69.3963417583,
        134.8291610911,
        0.719390363,
        87.555589023,
        525.7419968841,
        144.39038864671,
        20.850745303,
        4.4366031775,
        98.91680347199,
        427.3632732213,
        209.87388421679,
        206.9506307825,
        159.36824217371,
        140.2457870625,
        14.258463164,
        203.49405039889,
        191.7146369521,
        342.4991822366,
        125.743506415,
        91.8032564712,
        200.52510498229,
        617.5620683027,
        421.212934067,
        1582.2031657665,
        1376.0176173293,
        630.5798762419,
        5.6604434549,
        1272.9248431107,
        214.76675319891,
        212.3190726441,
        934.70469748469,
        15.2216710105,
        53.93085326429,
        153.73916788121,
        353.5448825005,
        777.17412795991,
        1265.81129610991,
        917.1760975389,
        5.1728084879,
        227.2823719561,
        423.9212470527,
        692.831301837,
        2633.98391398789,
        211.8459918921,
        6.3941566378,
        1464.3956625793,
        185.2317372702,
        542.78046973539,
        320.5678404032,
        286.8400387805,
        3.1645787903,
        329.48137429739,
        46.71424039951,
        337.9763281425,
        128.7124518316,
        50.9619078477,
        74.53778108379,
        2207.38572311189,
        299.37021175271,
        182.5234242845,
        391.4172857074,
        416.547067621,
        267.71758366931,
        778.6586006682,
        221.17772478411,
        696.7634551001,
        437.136949098,
        387.4851324443,
        1691.9218520189,
        215.2398339509,
        627.61093082531,
        241.8540885728,
        576.4052054941,
        116.18227885939,
        1795.0146262375,
        2.69149803831,
        312.4429014461,
        134.3415261241,
        273.34665796181,
        445.00125562421,
        323.2615991739,
        224.1009782184,
        7.30918037451,
        518.8890823142,
        422.1761419135,
        214.97920152001,
        212.10662432301,
        3.21276290011,
        1.24065522479,
        292.2566647519,
        618.0497032697,
        221.40721944771,
        2530.8911397693,
        439.37218133171,
        219.9057003969,
        2111.8941308611,
        30.7756711535,
        282.6954371963,
        305.5899868762,
        431.03479405351,
        348.1282565291,
        97.11681657861,
        429.7627696663,
        487.1213262793,
        426.0912488341,
        1169.83206889211,
        418.76525351221,
        199.528267241,
        729.0067840145,
        2737.0766882065,
        638.65663108921,
        339.53023682,
        421.4253823881,
        205.67860639531,
        120.1144321225,
        558.2459582294,
        7.4055485941,
        192.935985102,
        24.1352049047,
        227.557558602,
        432.471082652,
        167.07249000551,
        205.90810105891,
        1677.6947580173,
        207.1801254461,
        6.8360996225,
        244.5624015585,
        427.5927678849,
        428.32648106781,
        1898.5950354231,
        209.3983113373,
        68.90870679129,
        117.0760507367,
        234.149840741,
        273.8222308413,
        3340.8562441833,
        34.1840674273,
        217.68751450571,
        212.6491410442,
        214.43668479881,
        41.4006802921,
        867.6672932371,
        1251.0965671413,
        182.05034353251,
        33.6964324603,
        59.55992755679,
        135.3047339706,
        113.89465699899,
        28.0673581678,
        956.04533848709,
        89.10949770051,
        431.5078748055,
        81.50831573269,
        553.82616999929,
        1780.78753223589,
        319.8170808778,
        137.2768416459,
        739.0410923221,
        145.874861355,
        77.9943614674,
        466.1988842747,
        374.15181032,
        24.6228398717,
        2523.7775927685,
        131.79077970531,
        1692.40948698591,
        333.9011625275,
        2950.3757836445,
        406.23508054,
        193.09604379641,
        381.5954257209,
        60.52313540329,
        23.81969071961,
        216.51185833811,
        756.07956517339,
        464.97504399731,
        361.62163734781,
        39.86132582961,
        411.8641548325,
        313.4542934024,
        0.50694204189,
        395.8225197225,
        0.7650823453,
        245.03548231051,
        423.17297965479,
        2111.40649589409,
        60.04756252381,
        16.9185920399,
        710.99054910171,
        339.042601853,
        852.9525642685,
        210.5739675049,
        281.210964488,
        233.9897820466,
        412.827362679,
        459.0853372739,
        494.510059926,
        129.6756596781,
        681.2979666061,
        162.3371875903,
        260.01333583751,
        342.0115472696,
        45.3328335552,
        618.8004627951,
        26.84351789039,
        211.8983815188,
        215.1874443242,
        455.1531840108,
        2008.3137216755,
        1272.4372081437,
        230.2176874779,
        2847.28300942589,
        106.0303504728,
        214.34606207361,
        212.73976376941,
        467.9988711681,
        408.19512612779,
        430.2865266556,
        422.64922266551,
        329.9690092644,
        174.9222423167,
        420.6916692052,
        245.2986068689,
        184.97110483931,
        163.1403367424,
        426.7301337749,
        405.5013673571,
        2119.00767786191,
        207.32313779801,
        7.87862934611,
        1155.6049748905,
        224.8492456163,
        432.2586343309,
        426.9538829441,
        508.10650660869,
        93.1846633155,
        223.5772212291,
        36.892380413,
        143.9027536797,
        219.76268804501,
        849.5080459724,
        106.7811099982,
        131.6477673534,
        334.7949344048,
        3053.46855786309,
        264.2610032857,
        357.68948408471,
        242.11472100371,
        186.4555775476,
        343.4623900831,
        333.4135275605,
        31.73638687251,
        46.4536079686,
        2428.2860005177,
        536.5606946119,
        202.760337216,
        171.8984151459,
        427.0544566806,
        426.6295600384,
        320.0802054362,
        481.01667910731,
        451.2210307477,
        264.7486382527,
        556.7614855211,
        392.9017584157,
        112.8978192577,
        593.67068088151,
        1567.48843679789,
        67.91186905,
        216.2366716922,
        462.2667310116,
        78.4699343469,
        963.6465204549,
        402.4629859713,
        347.6406215621,
        555.7982776746,
        66.4610262365,
        561.4273519671,
        2214.98690507971,
        460.7822583033,
        146.8380692015,
        141.46962733991,
        478.0477336907,
        572.473052231,
        230.9514006608,
        533.8669358412,
        156.9205616189,
        419.77664546851,
        280.723329521,
        152.77596003471,
        422.42222012939,
        533.37930087419,
        835.28095197081,
        200.2095907972,
        175.6705097146,
        906.130397275,
        295.4380584896,
        547.2002579655,
        423.87306294291,
        294.80741117069,
        263.9454891006,
        1486.2239385487,
        552.829332258,
        1.20702533,
        99.6675629974,
        757.4609720177,
        240.6302482954,
        2097.1794018925,
        1055.6935944096,
        692.34366686999,
        206.64181424181,
        831.3487987077,
        526.00262931501,
        1994.08662767389,
        100.14064374939,
        1588.82907780029,
        226.8762350458,
        220.54458533771,
        2840.1694624251,
        490.09027169589,
        78.2068097885,
        215.54865049161,
        211.53717535141,
        220.44401160121,
        109.48693085641,
        637.69342324271,
        41.2976144281,
        285.61619850311,
        364.5905827644,
        200.04953210281,
        646.76701583129,
        204.1417440603,
        419.6802772489,
        416.059432654,
        211.5708052462,
        2008.8013566425,
        108.0024581481,
        110.4019545931,
        172.70156429801,
        942.3058794525,
        196.01680510321,
        255.1874106971,
        254.6997757301,
        410.1672338031,
        2427.7983655507,
        50.6463936626,
        65.46418849521,
        14.7340360435,
        222.9440817827,
        82.13896305161,
        83.1021708981,
        427.10264079041,
        441.8198618865,
        458.5977023069,
        349.0914643756,
        72.31710306511,
        426.58137592861,
        13.0895046408,
        227.03629374021,
        272.85902299479,
        110.49832281271,
        220.7683345069,
        448.9334088873,
        980.91199584231,
        702.3925293926,
        295.2950461377,
        570.98857952271,
        457.8614969965,
        222.14093263061,
        100.8889111473,
        111.4133465494,
        434.91876320681,
        170.2538837432,
        540.98048284201,
        231.06902073981,
        472.4186593982,
        543.2681047024,
        241.9971009247,
        3266.76765330109,
        569.29165849331,
        420.2497262205,
        258.6319289932,
        28.32799059869,
        251.4153161284,
        864.4858994994,
        259.1195639602,
        705.36147480921,
        3163.6748790825,
        238.815707187,
        149.3193796511,
        326.9306278786,
        188.41313100791,
        267.22994870229,
        642.58878435231,
        230.8083883089,
        42.78208713641,
        280.2477566415,
        1685.2959399851,
        97.9199657307,
        274.30986580831,
        193.8991929485,
        120.01136625851,
        380.37158544351,
        714.92270236481,
        387.22450001341,
        203.5086046139,
        2324.70559133209,
        254.38426154501,
        640.1892879073,
        639.177895951,
        432.9923475138,
        17.28229033479,
        105.76971804189,
        815.3071635977,
        19.36627259471,
        196.2774375341,
        206.54124050531,
        197.08058668621,
        640.0929196877,
        202.2365802267,
        894.5970620441,
        819.8154634768,
        3369.8604275197,
        107.52937739611,
        189.96703968541,
        732.1881777522,
        486.64575339981,
        606.5163680388,
        256.8319420998,
        1471.9968445471,
        1883.8803064545,
        106.2573530089,
        403.26613512341,
        468.4865061351,
        33.3809182752,
        355.50492808829,
        186.71620997851,
        434.0037394701,
        1905.2209474569,
        189.47940471839,
        641.104311644,
        47.9380806769,
        407.1982883865,
        219.3844355351,
        196.8681383651,
        230.0052391568,
        731.70054278519,
        275.3067035496,
        194.42045781031,
        662.28738607949,
        526.2657538734,
        477.5600987237,
        240.36961586451,
        1368.9040703285,
        433.90737125051,
        424.1336953738,
        351.5727748252,
        480.52904414029,
        390.19344543,
        395.34943897051,
        19.8875374565,
        238.6726948351,
        17.0216579039,
        92.2908914382,
        157.8837694654,
        1493.3374855495,
        429.5503213452,
        206.3174913361,
        237.11878615761,
        850.25880549781,
        427.00206705391,
        426.68194966511,
        2744.1902352073,
        824.4983762653,
        9.3174100721,
        3156.5613320817,
        649.7023313531,
        232.66536803271,
        90.0032695778,
        194.6329061314,
        661.4817447999,
        2531.3787747363,
        269.6776292571,
        453.9293437334,
        187.67941782501,
        749.8597900499,
        2744.6778701743,
        495.9945326343,
        518.40144734719,
        394.5986794451,
        2413.5712715491,
        830.8611637407,
        354.76872277791,
        857.3723524986,
        192.448350135,
        471.9310244312,
        167.9662618828,
        29.44876501211,
        487.60896124631,
        594.8945211589,
        207.7013903079,
        131.16013238639,
        256.08118257441,
        172.48911597691,
        402.77850015639,
        204.9448932124,
        511.2879003464,
        350.08830211689,
        503.1080796351,
        305.10235190919,
        380.6322178744,
        367.03826331921,
        2325.1932262991,
        69.6087900794,
        232.4529197116,
        405.0137323901,
        237.4343003427,
        418.2439886504,
        141.208994909,
        2001.68780964171,
        176.894349992,
        100.1551979644,
        72.577735496,
        562.3905598136,
        425.56998397231,
        144.1779403256,
        326.1969146957,
        291.5059052265,
        2310.4784973305,
        343.9836549449,
        113.15845168861,
        239.40640801801,
        448.98829064149,
        1169.34443392509,
        746.67839631219,
        84.6897094704,
        171.0046432686,
        428.11403274671,
        739.5648493114,
        1802.6158082053,
        28.6980054867,
        135.5799206165,
        1287.15193711231,
        314.1880065853,
        269.2020563776,
        190.6483632416,
        486.1581184328,
        419.20719649691,
        526.7533888404,
        25.3590451821,
        117.6667515677,
        110.9714035647,
        385.7882114149,
        196.1344251822,
        128.6093859676,
        250.191475851,
        376.4394321804,
        397.63706083091,
        24.88596443009,
        329.1658601123,
        990.47322339791,
        856.62159297321,
        2221.6128171135,
        505.5557601899,
        129.2000867986,
        639.6198389357,
        756.56720014041,
        73.0533083755,
        141.7302597708,
        121.2352065359,
        843.8789716799,
        384.3037387066,
        3480.06674873909,
        95.6323438703,
        3583.1595229577,
        910.0625505381,
        724.5869957844,
        312.9666584354,
        25.516611749,
        55.4153259726,
        236.4374626014,
        210.88278404561,
        216.2030417974,
        109.92887384111,
        297.9888049084,
        672.3844327119,
        2200.2721761111,
        611.1992808273,
        393.2172726008,
        97.17169833279,
        17.5092928709,
        164.78486814511,
        2641.0974609887,
        104.82106441041,
        433.4342904985,
        100.4012761803,
        37.88921815429,
        397.14942586389,
        640.66236865931,
        636.47207509279,
        208.4351034908,
        218.6507223522,
        760.4993534035,
        244.0747665915,
        319.5564484469,
        1130.47519297691,
        700.90805668431,
        806.96977631951,
        370.2196570569,
        170.51700830159,
        566.8439779385,
        115.8667646743,
        1788.38871420371,
        5.385256809,
        533.1161763158,
        2.7251279331,
        3686.2522971763,
        508.5941415757,
        551.27542358051,
        310.4707937708,
        184.3379653929,
        124.2590337067,
        525.2543619171,
        320.8284728341,
        411.3765198655,
        383.81610373959,
        178.33063859051,
        54.89406111079,
        89.0400617313,
        500.1391342185,
        3060.5821048639,
        26088.1469590577,
        285.35556607221,
        1383.13116433011,
        57.86300652739,
        658.30035106221,
        632.06434895021,
        482.9767246951,
        634.512029505,
        1045.3986536711,
        271.6497369324,
        455.41381644171,
        484.9488323704,
        770.0605809591,
        42.88515300039,
        732.45130231059,
        304.84171947829,
        440.1753304838,
        745.03386490949,
        32.48714639791,
        849.7711705308,
        493.5468520795,
        319.06881347989,
        991.9576961062,
        504.8050006645,
        200.80029162821,
        327.9420198349,
        774.7264474051,
        637.2203424907,
        43.0452116948,
        26.58288545949,
        313.43973918739,
        198.72511808891,
        153.25153291419,
        199.040632274,
        179.9181771628,
        952.3401877601,
        113.37090000971,
        254.5967098661,
        958.33296034749,
        840.91002626331,
        771.5450536674,
        208.3894115085,
        635.4752373515,
        111.67397898031,
        597.11519917759,
        201.7634994747,
        1044.6478941457,
        108.96566599461,
        183.85033042589,
        3472.9532017383,
        262.3009576979,
        337.08255626521,
        440.5814673941,
        207.426203662,
        1140.8902459219,
        832.0995582331,
        226.28553421481,
        1033.1145589148,
        372.66733761171,
        650.436044536,
        225.3223263683,
        348.8790160545,
        2318.0796792983,
        198.0774244275,
        623.4663292411,
        215.8305347819,
        211.2552910611,
        2847.77064439291,
        561.6904765255,
        228.36070775411,
        278.2756489662,
        283.9047232587,
        2729.96314120569,
        72.05647063421,
        527.22646959241,
        197.5012778115,
        425.1450873301,
        21.0968235189,
        481.97988695381,
        219.2201713238,
        207.8656545192,
        425.6181680821,
        707.809155364,
        512.66930719071,
        428.0658486369,
        668.4522794488,
        969.86629557841,
        248.75518725251,
        3061.06973983091,
        1258.6977491091,
        969.37866061139,
        49.47743513939,
        774.98957196349,
        379.1477451661,
        88.35873817511,
        604.7163811454,
        212.17031479781,
        214.91551104521,
        204.97852310719,
        1596.43025976811,
        738.814089786,
        407.71955324831,
        69.12115511239,
        491.8017469403,
        1575.08961876571,
        258.78949556011,
        319.0833676949,
        634.7244778261,
        313.9273741544,
        318.12015984841,
        316.6838712499,
        48.51422729289,
        6276.2061204741,
        519.15220687259,
        28.5549931348,
        398.5308327082,
        105.2966372899,
        1905.70858242391,
        619.534175978,
        215.50295850929,
        229.5845480315,
        291.76902978489,
        721.40560204669,
        120.74507944141,
        444.36811617781,
        25.61967761299,
        609.1216151605,
        2538.00468677009,
        317.59889498661,
        2641.5850959557,
        616.07759559439,
        525.514994348,
        10206.4158166937,
        62.4952430786,
        103.81216458159,
        72.090100529,
        619.046541011,
        393.70490756781,
        102.8971408449,
        172.0014810099,
        1048.0924124418,
        1485.7363035817,
        413.8242004203,
        316.58750303031,
        298.4764398754,
        102.8007726253,
        210.60759739969,
        215.07977525651,
        212.0060505865,
        327.9969015891,
        766.128427696,
        123.2958258602,
        610.44852130189,
        187.5193591306,
        541.2959970271,
        1119.429492713,
        101.88574888859,
        188.270118656,
        652.67127676971,
        914.20715212231,
        80.44204202221,
        691.3468291287,
        305.8506193071,
        92.0638889021,
        307.07445958451,
        194.5323323949,
        428.5389293889,
        282.9078855174,
        434.47682022211,
        344.45922782439,
        187.9400502559,
        114.6978061511,
        842.65762352999,
        2516.66404576769,
        305.85311143459,
        101.62511645769,
        496.2069809554,
        348.3913810875,
        789.7043009321,
        91.54262404029,
        405.747445573,
        233.1866328945,
        92.55401599659,
        331.45348197271,
        31.2633061205,
        130.1969245399,
        315.6724792936,
        109.69937917751,
        111.2008982283,
        357.4770357636,
        126.231141382,
        93.28772917949,
        181.56270856549,
        434.70631488571,
        3796.4586183957,
        624.6756153035,
        268.68079151581,
        851.9557265272,
        252.4121538697,
        77.7191748215,
        1066.2516597065,
        834.7933170038,
        212.092070108,
        699.94484883781,
        625.1632502705,
        71.8440223131,
        425.40571976101,
        629.846163059,
        31.24875190549,
        232.5534934481,
        38.11622069041,
        77.4730966056,
        135.0922856495,
        239.5664667124,
        3899.5513926143,
        282.20780222929,
        428.27829695801,
        177.6305553024,
        626.126458117,
        214.018485801,
        620.4973838245,
        354.508090347,
        145.6624130339,
        3376.9739745205,
        52.934015523,
        206.9049388002,
        42.5696388153,
        418.97770183331,
        433.2047958349,
        2957.48933064529,
        1063.0702659688,
        499.175926372,
        924.28964453971,
        182.78405671541,
        179.8151112988,
        322.26476143261,
        60.3106870822,
        87.87110320809,
        122.9803116751,
        239.1457755871,
        644.33388949151,
        315.41184686271,
        685.7177548362,
        151.5039356475,
        7.83293736379,
        311.2190611687,
        1080.9663886751,
        508.7371539276,
        639.3903442721,
        827.67977000299,
        159.2081834793,
        287.83687652179,
        1048.8431719672,
        1382.64352936309,
        643.0618651043,
        297.8857390444,
        95.47228517591,
        671.8967977449,
        453.66871130251,
        2626.8703669871,
        208.8624922605,
        443.5167829159,
        952.8639447494,
        105.7842722569,
        141.9427080919,
        167.3331224364,
        235.68919520349,
        1055.95671896799,
        213.1034620643,
        112.4101842907,
        312.21589891,
        205.8935468439,
        440.85665404,
        64.7159210973,
        85.58348134769,
        220.8689082434,
        206.2169175996,
        388.2213377547,
        531.73476947149,
        123.78346082721,
        3046.3550108623,
        338.72708766791,
        338.0457641117,
        628.6077685666,
        300.854684461,
        56.8661687861,
        244.30176912761,
        4002.64416683289,
        645.77017809,
        125.42799222991,
        310.41591201661,
        416.79314583689,
        3164.1625140495,
        90.3187837629,
        769.0973731126,
        34.9202727377,
        782.59075393131,
        621.4942215658,
        631.54308408841,
        176.63371756111,
        1891.4814884223,
        12566.3955174663,
        641.62557650581,
        330.9658470057,
        2104.7805838603,
        1457.2821155785,
        170.41394243761,
        143.6903053586,
        183.486632131,
        739.30172475301,
        67.6366824041,
        1048.58004740881,
        247.2707145442,
        430.98660994371,
        1802.12817323829,
        140.721359942,
        6681.46867088311,
        375.9517972134,
        610.93615626891,
        444.1074837469,
        17.91542978119,
        218.4719039259,
        616.56523056141,
        366.2875037938,
        485.63685357099,
        49.26498681829,
        837.4534458797,
        2634.47154895491,
        162.6527017754,
        927.5911504839,
        193.4115579815,
        335.38563523581,
        452.4448710251,
        427.73578023681,
        422.6974067753,
        155.2236405895,
        883.5513617802,
        6.3484646555,
        1040.97886544099,
        529.1840230527,
        173.9254045754,
        165.3610147611,
        447.448936179,
        945.48727319021,
        90.57941619379,
        2487.1722274643,
        133.34468838281,
        419.1926422819,
        518.62844988331,
        530.68554210351,
        429.81095377611,
        105.03351273151,
        3789.34507139489,
        180.40581212981,
        409.5765329721,
        437.40007365639,
        2854.3965564267,
        213.00709384469,
        657.4065791849,
        421.6885069465,
        1062.80714141041,
        205.98991506349,
        419.28901050149,
        747.1660312792,
        345.08987514331,
        681.7856015731,
        25234.46294233869,
        1096.8504572182,
        784.28767496071,
        535.6669227346,
        418.2776185452,
        166.58485503849,
        527.01402127131,
        420.2040342382,
        110.189506272,
        425.9482364822,
        102.3276918733,
        168.2963302829,
        39.9162075838,
        116.07921299541,
        409.4335206202,
        355.02935520881,
        181.08713568601,
        385.3005764479,
        275.5818901955,
        267.8776423637,
        43.5328466618,
        253.16042126761,
        177.36743074401,
        635.94831810351,
        1194.21109128031,
        103.37022159689,
        835.5440765292,
        222.6165055101,
        23.1383671634,
        22.6507321964,
        243.599193712,
        2957.9769656123,
        220.9170923532,
        206.1687334898,
        1107.8961574821,
        586.06949891369,
        1037.7974717033,
        234.0379661564,
        193.0478596866,
        281.4234128091,
        1084.0047700609,
        671.1605924345,
        614.38067456499,
        2.6769438233,
        220.39582749141,
        206.6899983516,
        250.45210828191,
        35.18090516859,
        912.722679414,
        228.7332147696,
        198.3526110734,
        3377.4616094875,
        534.1275682721,
        3362.74688051889,
        666.96780674051,
        103.597224133,
        132.85705341579,
        346.43133549971,
        700.4204217173,
        212.5340130927,
        306.34074640161,
        256.6718834054,
        5216.33655531789,
        799.36859435169,
        451.97179027311,
        549.8940167362,
        45.49040012211,
        1171.63205578549,
        1364.4842820984,
        644.8069702435,
        520.37355502251,
        2222.1004520805,
        587.450905758,
        337.5581291447,
        207.6386519831,
        6290.4332144757,
        12.28635548869,
        552.34169729099,
        41.08516610701,
        133.86844537209,
        98.6012892869,
        5849.1202946311,
        895.0846970111,
        9779.32999085069,
        66.9486612035,
        546.71262299849,
        9772.21644384989,
        10220.6429106953,
        246.68001371321,
        3.94896821049,
        624.1543504417,
        9146.54625153749,
        1389.3509394536,
        1144.0716396596,
        336.5949212982,
        629.35852809199,
        118.3144452291,
        1009.22317149361,
        347.16754081009,
        1091.3814416201,
        1372.3485886246,
        122.71967924421,
        1166.1630401874,
        133.82026126229,
        46.22660543249,
        913.5070688342,
        551.3448595497,
        196.3805033981,
        709.29362807231,
        58.0754548485,
        700.2079733962,
        3767.4544350593,
        2118.5200428949,
        318.43567403349,
        327.19375243699,
        83.6234357599,
        406.39513923441,
        488.6057989876,
        447.28887748461,
        173.6984020393,
        414.09938706621,
        40.59753113999,
        1748.2810787631,
        2707.58486990309,
        259.7527034066,
        322.3678272966,
        355.2418035299,
        174.9367965317,
        141.4550731249,
        3693.36584417709,
        105.13657859549,
        679.4979797127,
        245.99869015701,
        1159.0494931866,
        736.59590389479,
        466.5143984598,
        3480.5543837061,
        249.71839509901,
        77623.56832092509,
        764.6439549877,
        262.77653057739,
        757.5640378817,
        6.9179136271,
        6503.7323099137,
        482.5011518156,
        2435.3995475185,
        256.18424843839,
        1453.08683775701,
        271.8621852535,
        419.94090967981,
        145.387226388,
        25454.87558477749,
        1354.18934135989,
        544.7525774107,
        285.1431177511,
        544.2649424437,
        3273.8812003019,
        3274.36883526891,
        148.5831743407,
        754.5950924651,
        316.1144222783,
        415.0625949127,
        428.4865397622,
        5746.0275204125,
        59.038662695,
        349.6127292374,
        230.3207533419,
        1165.6392831981,
        200.27902676641,
        226.80679907661,
        50.15875869559,
        1176.9456158929,
        10433.9420061333,
        9676.23721663209,
        1950.5344739372,
        301.65783361311,
        243.29037717131,
        183.79544867171,
        330.3751461747,
        469.9709788434,
        934.4415729263,
        210.1345166477,
        415.04804069769,
        118.6299594142,
        679.8134938978,
        321.3015535861,
        878.08234618209,
        79.43065006591,
        238.18505986809,
        718.8548556279,
        397.9001853893,
        452.70550345601,
        280.9357778421,
        1357.3707350976,
        383.5529791812,
        360.1371646395,
        535.56385687061,
        109.0687318586,
        102.73708215049,
        1670.5812110165,
        316.896319571,
        116.6699138264,
        166.84548746939,
        5863.3473886327,
        214.53975066279,
        9352.73179997469,
        1183.16539101641,
        120.6020670895,
        1108.3837924491,
        165.8486497281,
        2950.8634186115,
        763.1931121742,
        1055.2059594426,
        1063.55790093581,
        2207.8733580789,
        557.75832326239,
        163.82166029861,
        156.02678974161,
        346.1561488538,
        346.64378382081,
        4215.94326227089,
        3391.68870348911,
        767.1252654373,
        419.7620912535,
        2693.3577759015,
        212.3045184291,
        418.71956152989,
        409.6795988361,
        2090.06585489169,
        1477.8383671607,
        1012.66768978969,
        748.9660181726,
        1268.9926898476,
        115.11600514891,
        217.9481469366,
        209.13767890641,
        4112.8504880523,
        116.12739710521,
        973.7984488415,
        959.45373476091,
        988.28866740149,
        1378.3052391897,
        614.868309532,
        170.72945662269,
        1020.2688717575,
        372.77040347569,
        2421.1724535169,
        2810.6776441217,
        487.3965129252,
        1151.1851866604,
        3170.78842608329,
        3149.44778508089,
        217.24806364849,
        94.7722018878,
        514.95692905111,
        514.46929408409,
        173.43776960839,
        530.0466571627,
        746.15463932291,
        424.8699006842,
        1248.3857620281,
        703.38936713389,
        538.8483164723,
        416.3200650849,
        313.7149258333,
        2648.6986429565,
        643.5856220936,
        1394.9800137461,
        331.6135406671,
        252.1490293113,
        293.74113746021,
        4105.7369410515,
        165.10038233019,
        5860.16599489499,
        674.0813537413,
        107.0417424291,
        104.29979954861,
        60.79832204921,
        1147.7406683643,
        945.7503977486,
        271.05903610141,
        880.26690217851,
        1365.23504162379,
        670.2522663422,
        5852.3016883688,
        253.2153030218,
        3796.94625336271,
        2048.1582325577,
        227.81819103291,
        199.26763481011,
        25440.64849077589,
        475.6000531359,
        660.851097481,
        101.3644840268,
        1383.9343134822,
        1699.0353990197,
        303.3023650158,
        1773.6739852351,
        272.33775813299,
        91.70019060721,
        1467.3139317586,
        656.9189442179,
        469.6434025708,
        470.1310375378,
        1128.7782719475,
        384.5161870277,
        1560.3748897971,
        1243.98302014049,
        5539.8419719753,
        1403.5780334552,
        701.6924461045,
        1112.3159457122,
        735.6808801581,
        388.9696051526,
        6599.7115371315,
        427.317581239,
        2854.8841913937,
        25557.96835899609,
        559.94287925881,
        2751.79141717511,
        228.0331314815,
        560.46663624809,
        531.9405201482,
        9790.37569111459,
        527.929045008,
        877.8192216237,
        1226.45442019471,
        124.18959773749,
        206.2693072263,
        220.8165186167,
        121.0082039998,
        9782.51138458839,
        220.4964012279,
        206.5894246151,
        1096.48675892331,
        1461.6848574661,
        379.8839504765,
        705.1008423783,
        155.53915477459,
        5436.7491977567,
        476.56326098241,
        2833.0559154243,
        1340.8053429983,
        1222.52226693161,
        1082.2596649217,
        2467.6428764329,
        2509.5504987669,
        9366.9588939763,
        959.97749175019,
        960.4651267172,
        304.1055141679,
        645.5577297689,
        78477.2523376441,
        5867.27954189579,
        328.4845365561,
        71.5688356672,
        795.43644108859,
        2740.7457169112,
        1127.50624756031,
        774.25336665311,
        398.38782035631,
        476.07562601539,
        135.7923689376,
        761.98382611181,
        1257.9469895837,
        304.36614659881,
        613.6299150396,
        121.59890483079,
        323.48860171,
        203.72105293501,
        223.36477290801,
        519.88592005549,
        640.8918633229,
        1115.7604640083,
        108.26558270649,
        99.1438060081,
        102.5883243042,
        256.3443071328,
        6247.26929803929,
        759.0148806952,
        1939.4887736733,
        1397.9489591627,
        7.3909943791,
        46.8173062635,
        76.0222537921,
        690.8591941617,
        475.11241816889,
        99.92819542829,
        1392.5323331913,
        523.2968084568,
        824.23525170691,
        634.98760238449,
        689.86235642041,
        97.4323307637,
        465.7112493077,
        1546.2908081474,
        152.9884083558,
        2434.9119125515,
        528.71094230071,
        608.0008407471,
        540.49284787499,
        967.8941879031,
        173.38288785421,
        560.9397170001,
        227.7218228133,
        199.3640030297,
        599.40282103799,
        9797.4892381154,
        1680.87615175499,
        944.99963822319,
        725.0746307514,
        343.49601997789,
        1973.37663399041,
        773.24197469681,
        776.2109201134,
        524.78128116509,
        6.82154540749,
        25344.66926355809,
        913.24394427581,
        557.2827503829,
        550.3816517032,
        301.17019864609,
        2597.3785486837,
        568.5408989679,
        1458.71591204951,
        2538.4923217371,
        308.7713806139,
        394.7017453091,
        1332.9917127094,
        10.051123255,
        416.8077000519,
        714.2920550459,
        1961.8432987595,
        1760.07753855241,
        6328.0812106155,
        263.26416554441,
        394.8618040035,
        1022.0688586509,
        104.33342944339,
        62.2827947575,
        511.7755353134,
        555.3106427076,
        2313.65989106819,
        331.9290548522,
        486.9088779582,
        1471.2460850217,
        841.9068640046,
        522.28541650049,
        473.31243127551,
        179.1150280107,
        1986.9730806731,
        899.0168502742,
        781.8399944059,
        1151.93594618579,
        2151.25100677631,
        3708.0805731457,
        386.00065973601,
        9793.5570848523,
        5845.18814136799,
        25771.7550894011,
        1080.0726167978,
        6261.4963920409,
        160.365079915,
        1475.4413628432,
        1467.57705631699,
        1460.4635093162,
        1439.75351563271,
        3171.2760610503,
        606.2008538537,
        5334.1440585051,
        401.2940274481,
        81.9959506997,
        428.80205394729,
        726.07146849269,
        734.6694882018,
        1304.6805370581,
        733.18501549349,
        1259.431462292,
        4.4220489625,
        633.5031296762,
        633.9907646432,
        529.82290799351,
        1198.14324454341,
        26.10731258001,
        770.5818458209,
        947.28726008359,
        9896.64985907089,
        210.08633253789,
        97.21988244259,
        981.1751204007,
        3679.1387501755,
        429.5357671302,
        876.8585059047,
        828.16740497,
        979.427523134,
        261.2371761149,
        102.6888980407,
        1407.51018671831,
        51322.36608391289,
        1527.8684363243,
        103.0090154295,
        1229.89893849079,
        1246.9012893198,
        1246.4136543528,
        1187.0975442795,
        663.5594104667,
        607.00400300581,
        600.7842278823,
        1901.7764291608,
        12573.5090644671,
        521.8580277308,
        3583.64715792471,
        2442.5130945193,
        449.7365580394,
        184.6010899513,
        860.0661112693,
        775.6896552516,
        9775.39783758759,
        447.552002043,
        52168.93655363109,
        4760.34895633411,
        260.6040366685,
        10529.9212333511,
        166.4817891745,
        517.4046096059,
        622.2449810912,
        905.64276230799,
        866.7735213598,
        5842.0067476303,
        1332.728588151,
        1886.7985756338,
        527.4871020233,
        597.60283414461,
        1035.24672528451,
        115.3791297073,
        589.7385276184,
        589.2508926514,
        146.13798591339,
        146.6256208804,
        10.2781257911,
        9.79049082409,
        177.15498242291,
        249.93084342011,
        507.3557470833,
        67.94549894479,
        36.404745446,
        178.3788227003,
        248.70700314271,
        951.2194133467,
        598.5996718859,
        2520.3330744724,
        525.26891613211,
        803.3007476148,
        1336.6607414141,
        1535.24510788349,
        988.0255428431,
        3119.9559667775,
        3120.4436017445,
        167.80869531589,
        769.5729459921,
        20006.84263106329,
        2015.9149036433,
        982.3964685506,
        274.09741748721,
        310.95842873781,
        195.6467902152,
        480.00777927849,
        221.9284843095,
        205.1573415335,
        1054.4722462597,
        241.3664536058,
        26404.5388287143,
        9470.05166819489,
        556.2738505541,
        454.6655490438,
        155.43608891061,
        903.16145185841,
        469.48334387639,
        317.15695200191,
        529.88659846831,
        438.1483410543,
        685.2301198692,
        206.4629958155,
        524.25752417581,
        523.7698892088,
        3590.7607049255,
        3590.2730699585,
        731.92754532131,
        443.6198487799,
        261.81332273089,
        1784.719685499,
        19992.61553706169,
        3280.9947473027,
        548.0940298428,
        63.6039554045,
        108.47803102759,
        892.7970751507,
        1025.6854977289,
        832.34563644899,
        586.5571338807,
        1235.3679540889,
        1310.1495526562,
        1699.5230339867,
        102.9608313197,
        5.90652167079,
        740.0524842784,
        63.38020623529,
        721.8932370137,
        930.7725442216,
        738.0803766031,
        746.4152717538,
        592.4468406041,
        1120.3927005595,
        26514.7451499337,
        519.63984183961,
        4113.3381230193,
        1673.7626047542,
        580.33735875721,
        3657.24811383991,
        735.58451193849,
        736.0721469055,
        604.2287461784,
        3267.2552882681,
        362.6184750891,
        1293.63483679419,
        188.6762555663,
        845.57589270931,
        2439.3317007816,
        1051.9763815951,
        2014.2703722406,
        1052.07274981469,
        582.62498061761,
        52183.1636476327,
        631.7891623043,
        519.1497147451,
        13362.6935242827,
        204.45725824539,
        693.82813957829,
        694.31577454531,
        962.7527485776,
        688.41151360689,
        6058.48723680599,
        545.7157852572,
        595.47066777489,
        436.8763166671,
        187.9949320101,
        5496.2254698659,
        1055.43296197871,
        225.58545092669,
        462.00609858071,
        157.6713211443,
        269.41450469871,
        2093.2472486294,
        347.6551757771,
        678.27413943531,
        185.08872491831,
        938.63685074779,
        1016.59984305279,
        5753.6287023803,
        5753.14106741329,
        976.4922076122,
        655.1738390787,
        497.9545782221,
        494.2348732801,
        995.88984936931,
        632.58810593949,
        633.07574090651,
        1051.06135785839,
        3900.0390275813,
        451.48415530609,
        193.93282284329,
        103.28840759231,
        662.7750210465,
        7232.49527644471,
        103711.47146249928,
        1703.4551872498,
        1126.54303971381,
        2748.6100234374,
        4319.0360364895,
        4319.5236714565,
        529.9829666879,
        1649.383582366,
        151.0163006805,
        1379.4621356254,
        1379.9497705924,
        785.772147669,
        4010.24534880071,
        608.1608994415,
        608.64853440851,
        467.68335698301,
        103.5490400232,
        103.0614050562,
        870.7056746229,
        664.78325074409,
        2306.5463440674,
        740.52556503041,
        2431.4673942554,
        102.63650841399,
        103.12414338101,
        1163.6817297378,
        171.2170915897,
        829.37669103239,
        255.8687342533,
        3068.1832868317,
        279.72649177971,
        147.3593340633,
        669.4009330803,
        3465.8396547375,
        843.145258497,
        103.3847758119,
        4003.1318017999,
        9988.69693302559,
        311.48218572709,
        937.8860912224,
        199.83708378171,
        227.24874206131,
        4009.7577138337,
        457.3738620295,
        5653.98044645779,
        354.2810878109,
        37.6285857234,
        840.6975779422,
        840.2099429752,
        812.70191647599,
        813.189551443,
        403.9474586796,
        182.0357893175,
        2331.8191383329,
        842.13386654071,
        1460.2003847578,
        455.29619636271,
        5422.5221037551,
        570.7761312016,
        3693.8534791441,
        413.34862754081,
        391.73279989249,
        458.33457774851,
        418.49006686629,
        414.5749599457,
    ],
];

pub(crate) const X1: [[f64; 1023]; 3] = [
    [
        0.09285877988,
        0.0308650168,
        0.02728479923,
        0.02644990371,
        0.00629201988,
        0.00256626023,
        0.00312353889,
        0.00189297041,
        0.0020446502,
        0.00118113185,
        0.00067024295,
        0.00066948413,
        0.00031931062,
        0.00024548187,
        0.00030521021,
        0.00022265017,
        0.0001893952,
        0.00018082904,
        0.00017786477,
        0.00016307253,
        0.00016919177,
        0.00015920273,
        0.00016167186,
        0.00014472589,
        0.00011071575,
        0.00009887534,
        0.0000871393,
        0.00006197025,
        0.00005502258,
        0.00005466098,
        0.00003484091,
        0.00003596198,
        0.00003029001,
        0.00003353859,
        0.00002987715,
        0.00002732424,
        0.00003741808,
        0.00002374342,
        0.00002875345,
        0.00002121841,
        0.00002386687,
        0.00001755551,
        0.00001690652,
        0.00001545396,
        0.00001447492,
        0.00001392451,
        0.00001331483,
        0.00001452348,
        0.00001285559,
        0.00001159539,
        0.00001128476,
        0.00001131769,
        0.00001127023,
        0.00001101803,
        0.00001061927,
        0.0000134336,
        0.0000133164,
        0.00001287848,
        0.00001050973,
        0.00000900723,
        0.00000882663,
        0.00000924505,
        0.00000876882,
        0.00000905253,
        0.00000820808,
        0.00000844907,
        0.00000760731,
        0.00000657423,
        0.00000813631,
        0.00000642768,
        0.00000657845,
        0.00000715042,
        0.00000596876,
        0.0000047202,
        0.00000467656,
        0.00000472526,
        0.00000487417,
        0.00000402114,
        0.00000376954,
        0.0000041941,
        0.00000439384,
        0.00000458871,
        0.00000345395,
        0.00000334209,
        0.00000330276,
        0.00000339713,
        0.0000030495,
        0.00000312395,
        0.00000311746,
        0.00000299095,
        0.00000299955,
        0.00000271105,
        0.00000260779,
        0.00000278736,
        0.00000335527,
        0.00000259607,
        0.00000263983,
        0.00000291544,
        0.00000214376,
        0.00000208551,
        0.00000208257,
        0.00000211653,
        0.00000199845,
        0.00000195781,
        0.00000192346,
        0.00000191573,
        0.00000185995,
        0.00000168803,
        0.00000170172,
        0.00000167553,
        0.0000017751,
        0.00000177755,
        0.00000157494,
        0.00000162215,
        0.00000160622,
        0.00000147298,
        0.00000177635,
        0.00000170308,
        0.00000158062,
        0.00000138665,
        0.00000150976,
        0.00000136839,
        0.00000163932,
        0.00000164921,
        0.00000134204,
        0.00000141934,
        0.00000153018,
        0.00000132722,
        0.00000136617,
        0.00000124984,
        0.0000013831,
        0.0000012114,
        0.00000146873,
        0.00000135623,
        0.00000114737,
        0.00000107506,
        0.00000105407,
        0.00000123012,
        0.00000104647,
        0.00000123445,
        0.00000121327,
        0.00000121539,
        0.0000009833,
        0.00000123139,
        0.00000106461,
        0.00000134338,
        0.0000010753,
        0.00000114356,
        0.00000094347,
        0.00000104237,
        0.0000008841,
        0.00000091547,
        0.00000084219,
        0.00000091641,
        0.00000080939,
        0.00000082304,
        0.00000099237,
        0.00000073063,
        0.00000079913,
        0.00000070813,
        0.00000072632,
        0.00000075817,
        0.00000072415,
        0.00000084109,
        0.00000066814,
        0.00000064253,
        0.00000073347,
        0.00000061578,
        0.00000060447,
        0.00000063039,
        0.00000064265,
        0.00000058169,
        0.00000065491,
        0.00000057055,
        0.00000063072,
        0.00000076825,
        0.00000065944,
        0.00000065704,
        0.00000059449,
        0.00000066539,
        0.00000053194,
        0.0000006389,
        0.00000052968,
        0.0000005148,
        0.00000053788,
        0.00000052017,
        0.00000048475,
        0.00000048625,
        0.00000047377,
        0.00000066468,
        0.00000047697,
        0.000000504,
        0.00000051302,
        0.00000048534,
        0.00000050418,
        0.00000052765,
        0.0000005613,
        0.00000053587,
        0.00000050974,
        0.00000044236,
        0.00000046842,
        0.0000004153,
        0.00000044045,
        0.0000004058,
        0.0000004103,
        0.00000040882,
        0.00000038986,
        0.00000045904,
        0.00000053423,
        0.00000041233,
        0.00000046867,
        0.00000046594,
        0.00000037309,
        0.00000036647,
        0.00000041194,
        0.00000036297,
        0.00000036204,
        0.00000041215,
        0.00000045013,
        0.00000034449,
        0.00000034256,
        0.0000003682,
        0.00000033887,
        0.00000036762,
        0.00000032982,
        0.00000033116,
        0.00000032822,
        0.00000037519,
        0.00000031997,
        0.00000040913,
        0.00000030291,
        0.00000029064,
        0.00000031114,
        0.00000028459,
        0.00000035352,
        0.00000027208,
        0.00000037148,
        0.00000033504,
        0.00000032029,
        0.00000027479,
        0.00000029371,
        0.0000003041,
        0.00000033556,
        0.00000028365,
        0.00000024664,
        0.00000028864,
        0.00000033503,
        0.00000027468,
        0.00000023818,
        0.00000023542,
        0.00000023335,
        0.0000002481,
        0.00000023968,
        0.00000025517,
        0.00000022253,
        0.0000002319,
        0.00000021849,
        0.0000002127,
        0.00000022382,
        0.00000021104,
        0.00000024718,
        0.0000002079,
        0.00000025298,
        0.00000019818,
        0.0000001953,
        0.00000023121,
        0.00000019612,
        0.00000019333,
        0.00000020375,
        0.00000020742,
        0.00000019203,
        0.00000018481,
        0.00000021067,
        0.00000019538,
        0.00000020461,
        0.00000021171,
        0.0000001913,
        0.00000018295,
        0.0000001816,
        0.00000017549,
        0.00000017626,
        0.00000016792,
        0.00000016458,
        0.00000018239,
        0.00000016441,
        0.00000016263,
        0.00000016077,
        0.00000018919,
        0.00000020156,
        0.00000017804,
        0.00000022054,
        0.00000015573,
        0.00000016309,
        0.00000018944,
        0.00000017127,
        0.0000001969,
        0.00000020455,
        0.00000016447,
        0.00000016503,
        0.00000020378,
        0.00000016713,
        0.00000017063,
        0.00000018187,
        0.0000001483,
        0.00000015128,
        0.00000014162,
        0.00000014139,
        0.0000001806,
        0.00000013362,
        0.00000013903,
        0.00000015359,
        0.00000013906,
        0.00000013001,
        0.00000013054,
        0.00000015661,
        0.00000017412,
        0.00000014557,
        0.0000001711,
        0.00000012702,
        0.00000017195,
        0.00000012663,
        0.00000015239,
        0.00000012562,
        0.00000012487,
        0.00000012205,
        0.00000014071,
        0.00000013589,
        0.00000013297,
        0.0000001295,
        0.000000128,
        0.0000001406,
        0.00000013165,
        0.00000011819,
        0.00000011579,
        0.00000011596,
        0.00000012157,
        0.00000011328,
        0.0000001331,
        0.0000001376,
        0.00000011244,
        0.00000011256,
        0.00000011849,
        0.00000011016,
        0.00000010858,
        0.00000014447,
        0.00000010877,
        0.00000010671,
        0.00000010673,
        0.00000013923,
        0.00000012161,
        0.00000011528,
        0.00000012972,
        0.00000010573,
        0.00000011572,
        0.00000012498,
        0.00000010593,
        0.00000012818,
        0.0000001023,
        0.00000010672,
        0.00000010068,
        0.00000011596,
        0.00000010203,
        0.00000009849,
        0.00000010252,
        0.00000010915,
        0.00000009693,
        0.00000009672,
        0.00000009664,
        0.0000000986,
        0.00000010186,
        0.00000010831,
        0.00000009746,
        0.00000009573,
        0.00000011944,
        0.00000009779,
        0.00000010421,
        0.00000010874,
        0.00000010712,
        0.00000009203,
        0.00000009203,
        0.00000010194,
        0.00000009371,
        0.00000010238,
        0.00000010084,
        0.00000010456,
        0.00000010166,
        0.00000011381,
        0.00000012113,
        0.00000010043,
        0.00000009235,
        0.00000008818,
        0.00000009068,
        0.00000010089,
        0.00000010283,
        0.00000009854,
        0.00000009008,
        0.00000008926,
        0.00000008557,
        0.00000010257,
        0.00000009526,
        0.00000009414,
        0.00000009628,
        0.00000011719,
        0.00000008304,
        0.00000008224,
        0.00000008279,
        0.00000009189,
        0.00000008334,
        0.0000000803,
        0.00000010377,
        0.00000010377,
        0.00000009061,
        0.00000008325,
        0.00000007948,
        0.0000001052,
        0.00000008773,
        0.00000008377,
        0.00000008448,
        0.00000008685,
        0.00000007716,
        0.00000007794,
        0.00000008324,
        0.00000007401,
        0.00000008108,
        0.00000007383,
        0.00000007791,
        0.00000007076,
        0.00000009308,
        0.00000009741,
        0.00000007187,
        0.00000007014,
        0.00000006966,
        0.00000007308,
        0.00000006845,
        0.00000006779,
        0.00000007128,
        0.00000007238,
        0.00000006975,
        0.00000007167,
        0.00000007917,
        0.00000006648,
        0.000000068,
        0.00000008501,
        0.00000006569,
        0.00000008044,
        0.00000006518,
        0.00000007597,
        0.00000008282,
        0.00000007088,
        0.00000006908,
        0.00000006418,
        0.00000006362,
        0.00000006216,
        0.00000006708,
        0.00000007258,
        0.00000007633,
        0.00000006841,
        0.00000005996,
        0.00000005926,
        0.00000006244,
        0.00000006129,
        0.00000006129,
        0.0000000597,
        0.00000005955,
        0.00000007108,
        0.00000005852,
        0.00000005748,
        0.0000000647,
        0.0000000561,
        0.00000005595,
        0.00000006286,
        0.00000005905,
        0.0000000542,
        0.00000007291,
        0.00000005368,
        0.00000006762,
        0.0000000629,
        0.00000006519,
        0.00000005326,
        0.00000005918,
        0.00000005209,
        0.00000005766,
        0.00000006291,
        0.00000005107,
        0.00000006557,
        0.00000005736,
        0.00000005147,
        0.00000005331,
        0.00000005351,
        0.000000049,
        0.00000006324,
        0.0000000612,
        0.00000004858,
        0.00000006153,
        0.00000004774,
        0.00000005096,
        0.00000004756,
        0.00000005064,
        0.00000004696,
        0.00000005004,
        0.00000004561,
        0.00000005108,
        0.00000004597,
        0.00000004502,
        0.00000004559,
        0.00000006043,
        0.00000005079,
        0.00000005333,
        0.0000000544,
        0.00000005845,
        0.00000005448,
        0.00000005131,
        0.00000004374,
        0.00000004471,
        0.0000000441,
        0.00000004114,
        0.00000004269,
        0.00000004269,
        0.00000004076,
        0.00000004308,
        0.00000004392,
        0.00000004365,
        0.00000004469,
        0.00000004332,
        0.00000004016,
        0.00000004203,
        0.00000003902,
        0.00000003955,
        0.00000003945,
        0.00000004359,
        0.00000005325,
        0.00000004743,
        0.00000005334,
        0.00000003914,
        0.0000000374,
        0.00000004015,
        0.00000003733,
        0.00000003719,
        0.00000004998,
        0.00000003941,
        0.00000003629,
        0.00000004488,
        0.00000004487,
        0.00000004724,
        0.00000003566,
        0.00000003566,
        0.00000004241,
        0.0000000374,
        0.00000003762,
        0.00000004157,
        0.00000003518,
        0.00000003584,
        0.00000003636,
        0.00000003529,
        0.00000003573,
        0.00000004086,
        0.00000004527,
        0.00000003974,
        0.00000003913,
        0.00000003397,
        0.00000003967,
        0.00000003785,
        0.00000003785,
        0.00000003713,
        0.00000003713,
        0.00000003167,
        0.00000003167,
        0.00000004027,
        0.00000003454,
        0.000000037,
        0.00000003257,
        0.00000003858,
        0.00000003174,
        0.00000003287,
        0.00000004371,
        0.0000000322,
        0.00000003146,
        0.00000003544,
        0.00000004149,
        0.00000004004,
        0.00000003653,
        0.00000003162,
        0.00000003678,
        0.00000003135,
        0.00000003067,
        0.0000000297,
        0.00000003379,
        0.000000031,
        0.00000003007,
        0.00000002898,
        0.0000000317,
        0.00000002943,
        0.00000003935,
        0.00000003326,
        0.00000002837,
        0.00000003336,
        0.00000002896,
        0.00000002904,
        0.00000002774,
        0.00000002813,
        0.00000003318,
        0.0000000285,
        0.0000000301,
        0.00000003559,
        0.00000003563,
        0.0000000336,
        0.00000002703,
        0.00000002882,
        0.00000003267,
        0.00000003197,
        0.00000002907,
        0.00000002669,
        0.00000002869,
        0.00000002764,
        0.0000000261,
        0.00000002782,
        0.00000002826,
        0.00000002568,
        0.00000002628,
        0.00000003266,
        0.00000002545,
        0.0000000251,
        0.00000002554,
        0.0000000292,
        0.00000002992,
        0.00000002474,
        0.00000002474,
        0.00000002645,
        0.00000002597,
        0.00000002936,
        0.00000002535,
        0.00000002575,
        0.0000000296,
        0.00000002526,
        0.00000002819,
        0.00000002444,
        0.00000003165,
        0.00000003165,
        0.00000002684,
        0.00000002447,
        0.00000002447,
        0.00000002485,
        0.0000000281,
        0.00000002343,
        0.0000000327,
        0.00000002983,
        0.00000002301,
        0.00000002295,
        0.00000002789,
        0.00000002298,
        0.00000002626,
        0.00000002273,
        0.00000002621,
        0.00000002285,
        0.00000002204,
        0.00000002636,
        0.00000002222,
        0.00000002308,
        0.00000002203,
        0.00000002182,
        0.00000002502,
        0.00000002138,
        0.00000002142,
        0.00000002974,
        0.00000002136,
        0.00000002091,
        0.00000002094,
        0.0000000246,
        0.00000002461,
        0.00000002355,
        0.00000002153,
        0.00000002597,
        0.00000002604,
        0.00000002201,
        0.00000002162,
        0.00000002404,
        0.0000000226,
        0.00000002151,
        0.00000002123,
        0.00000002556,
        0.00000001998,
        0.00000001973,
        0.00000001973,
        0.00000001957,
        0.00000001957,
        0.00000001991,
        0.0000000194,
        0.00000002507,
        0.00000002352,
        0.00000002048,
        0.00000002647,
        0.00000001908,
        0.000000019,
        0.00000002178,
        0.00000001894,
        0.00000001892,
        0.00000001888,
        0.00000002182,
        0.0000000181,
        0.00000001925,
        0.00000002022,
        0.00000001793,
        0.00000002336,
        0.00000001992,
        0.0000000179,
        0.00000001779,
        0.00000001796,
        0.00000001974,
        0.00000001881,
        0.00000001773,
        0.00000002183,
        0.0000000225,
        0.00000002182,
        0.00000001835,
        0.00000002428,
        0.00000001996,
        0.00000001813,
        0.0000000198,
        0.0000000194,
        0.0000000191,
        0.00000002379,
        0.00000002068,
        0.00000001733,
        0.00000001824,
        0.00000001804,
        0.00000002037,
        0.00000001792,
        0.00000001681,
        0.00000001732,
        0.00000001698,
        0.00000001828,
        0.00000001713,
        0.00000001808,
        0.00000001911,
        0.00000001704,
        0.00000001688,
        0.00000001665,
        0.00000002097,
        0.00000001691,
        0.00000001699,
        0.00000001783,
        0.00000001796,
        0.00000001619,
        0.00000001652,
        0.00000001707,
        0.00000001924,
        0.0000000196,
        0.00000001599,
        0.00000001804,
        0.00000001586,
        0.00000001644,
        0.00000001572,
        0.00000002123,
        0.00000001948,
        0.00000001766,
        0.00000001565,
        0.00000001602,
        0.00000001546,
        0.00000001724,
        0.00000001531,
        0.00000001619,
        0.00000001871,
        0.00000001734,
        0.00000001732,
        0.00000001517,
        0.00000001563,
        0.0000000152,
        0.00000001687,
        0.00000001488,
        0.00000001587,
        0.00000001662,
        0.00000001724,
        0.00000001477,
        0.00000001657,
        0.0000000152,
        0.00000001443,
        0.00000001446,
        0.00000001446,
        0.0000000185,
        0.00000001439,
        0.00000001452,
        0.00000001874,
        0.00000001782,
        0.00000001639,
        0.00000001565,
        0.00000001395,
        0.00000001516,
        0.00000001684,
        0.00000001659,
        0.00000001514,
        0.00000001397,
        0.00000001747,
        0.00000001492,
        0.00000001354,
        0.00000001506,
        0.00000001365,
        0.00000001352,
        0.00000001352,
        0.00000001531,
        0.00000001783,
        0.0000000155,
        0.00000001524,
        0.00000001541,
        0.00000001578,
        0.00000001578,
        0.00000001732,
        0.0000000154,
        0.00000001323,
        0.00000001312,
        0.00000001724,
        0.00000001472,
        0.00000001296,
        0.00000001309,
        0.00000001818,
        0.0000000129,
        0.00000001334,
        0.00000001287,
        0.00000001392,
        0.00000001515,
        0.00000001247,
        0.00000001247,
        0.00000001246,
        0.00000001511,
        0.00000001479,
        0.00000001233,
        0.00000001632,
        0.00000001387,
        0.00000001352,
        0.00000001313,
        0.00000001236,
        0.00000001227,
        0.00000001304,
        0.00000001478,
        0.00000001254,
        0.0000000123,
        0.00000001385,
        0.00000001364,
        0.00000001395,
        0.00000001284,
        0.00000001435,
        0.00000001411,
        0.00000001191,
        0.00000001193,
        0.00000001197,
        0.00000001356,
        0.00000001356,
        0.00000001276,
        0.00000001195,
        0.00000001603,
        0.00000001191,
        0.00000001168,
        0.00000001165,
        0.00000001242,
        0.0000000133,
        0.0000000133,
        0.00000001154,
        0.0000000115,
        0.00000001152,
        0.00000001247,
        0.00000001387,
        0.0000000125,
        0.00000001328,
        0.00000001587,
        0.00000001176,
        0.00000001223,
        0.00000001161,
        0.0000000157,
        0.00000001303,
        0.00000001126,
        0.00000001534,
        0.00000001117,
        0.00000001307,
        0.00000001114,
        0.00000001118,
        0.00000001242,
        0.00000001397,
        0.00000001401,
        0.00000001139,
        0.00000001096,
        0.00000001092,
        0.00000001197,
        0.00000001126,
        0.00000001351,
        0.00000001165,
        0.00000001167,
        0.00000001121,
        0.00000001051,
        0.00000001053,
        0.00000001051,
        0.00000001288,
        0.00000001045,
        0.0000000107,
        0.00000001043,
        0.00000001033,
        0.00000001282,
        0.00000001167,
        0.000000011,
        0.00000001035,
        0.00000001091,
        0.00000001274,
        0.00000001079,
        0.00000001085,
        0.00000001245,
        0.00000001146,
        0.00000001196,
        0.00000001136,
        0.00000001119,
        0.00000001056,
        0.00000001032,
        0.00000001032,
        0.00000001039,
        0.00000001061,
        0.00000001123,
        0.00000001103,
        0.00000001015,
        0.00000000979,
        0.00000000979,
        0.00000001043,
        0.00000001128,
        0.00000001035,
        0.00000001072,
        0.00000001131,
        0.00000000986,
        0.00000001287,
        0.00000000973,
        0.00000001298,
        0.00000001151,
        0.00000001279,
        0.00000000963,
        0.00000001064,
        0.00000000973,
        0.00000001096,
        0.0000000108,
        0.000000012,
        0.00000000993,
        0.00000001039,
        0.00000000952,
        0.00000001181,
        0.00000001137,
        0.00000000941,
        0.00000000942,
        0.0000000102,
        0.00000001065,
        0.00000000945,
        0.00000000941,
        0.00000000996,
        0.00000001059,
        0.00000000936,
        0.00000000986,
        0.00000001061,
        0.00000000941,
        0.00000001049,
        0.00000000956,
        0.00000000922,
        0.0000000109,
        0.00000000945,
        0.00000000945,
        0.00000000906,
        0.00000000913,
        0.00000000993,
        0.00000000923,
        0.0000000091,
        0.00000001055,
        0.00000000891,
        0.0000000089,
        0.00000001011,
        0.00000000943,
        0.0000000124,
        0.0000000124,
        0.00000000975,
        0.00000000963,
        0.00000001131,
        0.00000001014,
        0.00000000922,
        0.00000000896,
        0.00000001121,
        0.00000000872,
        0.00000001164,
        0.0000000109,
        0.0000000118,
        0.00000000912,
        0.00000000892,
        0.00000000892,
        0.00000000985,
        0.0000000086,
        0.0000000099,
        0.00000001177,
        0.00000000864,
        0.00000001007,
        0.00000001007,
        0.00000000853,
        0.00000000993,
        0.00000000844,
        0.00000000846,
        0.00000000964,
        0.00000000981,
        0.00000001164,
        0.00000000885,
        0.00000000821,
        0.00000000906,
        0.00000000903,
        0.00000000841,
        0.00000000904,
        0.00000000822,
        0.00000000997,
        0.00000000879,
        0.00000000846,
        0.00000000846,
        0.00000000947,
        0.00000000875,
        0.00000001117,
        0.000000008,
        0.00000000839,
        0.00000000839,
        0.00000000838,
        0.0000000083,
        0.00000000841,
        0.00000000826,
        0.00000000854,
        0.00000000842,
        0.00000000858,
        0.0000000086,
        0.00000000785,
    ],
    [
        0.61678993503,
        4.27493632359,
        5.8447638902,
        5.33256382404,
        0.32457757988,
        3.52453971595,
        4.8295630897,
        4.48614588896,
        1.07744722386,
        1.16350724193,
        3.73239360544,
        5.20221291915,
        5.99122459014,
        1.72318512907,
        0.18185692767,
        6.19403063806,
        2.77554483793,
        5.08903997736,
        6.103215363,
        4.86906758451,
        4.58471330942,
        0.03453366907,
        5.61042793206,
        3.67415332596,
        0.03003679044,
        5.18637985637,
        6.03455153122,
        1.3646434911,
        4.40320486328,
        2.60358233388,
        2.54141592195,
        2.50280897492,
        1.24873358475,
        3.74904517566,
        5.64325133005,
        4.10964270304,
        4.82356861468,
        1.71597491607,
        0.10934318294,
        1.70223145921,
        0.22569849869,
        0.7746309161,
        3.97638248269,
        5.30260231719,
        2.03498842518,
        2.03410425344,
        5.06295810929,
        6.21365122108,
        2.40490814955,
        4.60389667301,
        5.45092270832,
        6.00809348724,
        2.88170875021,
        4.07656502687,
        4.38341564719,
        2.98910861966,
        1.90897752717,
        2.08433845806,
        0.4149008614,
        0.97940540803,
        5.41577217529,
        0.31084816096,
        6.15951573282,
        3.37316127293,
        4.74555854872,
        2.2419189166,
        0.32645781021,
        1.75192962523,
        0.0263654824,
        0.08669014735,
        3.9000228222,
        6.12383205661,
        5.09870868637,
        3.60910799409,
        1.37893062096,
        0.17976235838,
        1.14265056645,
        4.42612765272,
        3.71201411962,
        5.88905869137,
        2.62527563052,
        0.66305280938,
        6.17484774422,
        0.71189291081,
        0.35761199969,
        2.73817515158,
        0.18421276814,
        2.3662764172,
        1.93452684244,
        2.15964302278,
        0.17404785977,
        2.7036309448,
        0.87015911392,
        5.3589341393,
        3.07953134072,
        6.00394254983,
        3.55443649812,
        1.81131242466,
        6.03151333634,
        5.16427411899,
        4.3872625811,
        2.10642373554,
        2.29578299708,
        0.3542835571,
        6.21537031577,
        0.448110776,
        4.78683696303,
        1.10901900891,
        1.18102994579,
        5.0026872572,
        4.94085831586,
        6.22073652647,
        1.71852514061,
        6.01667468309,
        2.21143597606,
        0.31012308764,
        6.27025545843,
        2.63474062872,
        5.63276958593,
        0.44735566636,
        3.13927888955,
        4.5169071217,
        2.23903496342,
        4.61861878322,
        1.25807922003,
        0.59018411736,
        4.27626456939,
        3.97656514012,
        1.64500267431,
        4.28860125524,
        4.40216198828,
        0.16586240985,
        0.4752137565,
        0.85079579674,
        0.83509600385,
        2.7464109355,
        3.58312013649,
        2.85293627235,
        1.30261134749,
        4.85723767211,
        2.34436045601,
        2.2800663581,
        1.2715337984,
        1.72477244855,
        6.2130735569,
        0.13238469429,
        2.04781430457,
        3.50494100764,
        4.48494950953,
        3.80594641363,
        2.09844529978,
        0.19575334067,
        6.17220906984,
        2.30922052677,
        4.7081786354,
        3.28548883281,
        5.82968286033,
        0.84493736921,
        3.01047372573,
        2.40778621473,
        1.31854571732,
        1.4416447688,
        1.87310857657,
        1.771692501,
        4.85072561146,
        4.88041745139,
        4.3197126467,
        5.13231029134,
        0.18657130674,
        3.97913628016,
        1.35985415674,
        3.07003751562,
        5.37959870394,
        1.29146537045,
        3.82756140289,
        0.2606103261,
        3.15806762275,
        0.38527237466,
        4.25418200211,
        0.19553179802,
        1.57281678134,
        1.98911021042,
        2.48775989817,
        5.40158452623,
        0.70800398665,
        2.0114546547,
        0.16935246445,
        0.32855808278,
        4.1908075774,
        4.53149070521,
        1.9178485425,
        1.52095286213,
        1.56161815189,
        3.08596013281,
        2.66057863189,
        3.98236980014,
        0.33220104012,
        0.57493074933,
        2.05704046175,
        6.08174708544,
        2.24622013459,
        6.03788211153,
        2.25826631267,
        2.82302665464,
        4.0347926519,
        3.76127180855,
        4.46168372795,
        0.45235179276,
        1.19152844807,
        5.98630903924,
        2.84588810562,
        4.62317456797,
        0.18886259626,
        1.88978550694,
        5.88019785775,
        5.66458901484,
        2.75001997487,
        2.50684492522,
        1.96686946581,
        0.57010226677,
        2.87917030633,
        2.97826186847,
        1.08487218987,
        3.81424116419,
        5.79106870822,
        5.24689400325,
        2.19475458249,
        2.38353348143,
        1.8012408982,
        2.29234559153,
        4.38172577701,
        5.92812854477,
        1.08106077375,
        1.12291882969,
        2.37935763988,
        6.21367293026,
        1.38568578551,
        1.04515396423,
        3.21836665934,
        3.85996509219,
        5.710755205,
        5.5477226294,
        6.12868949605,
        5.81150437735,
        4.56168548884,
        5.14212159473,
        4.61144380837,
        5.08884052063,
        2.06467933184,
        2.98679769294,
        3.92749113053,
        0.83325589326,
        1.9375681424,
        4.02939599784,
        2.97476505625,
        0.53219820713,
        3.74059365574,
        0.55413991317,
        2.85390353571,
        4.01921632968,
        1.77317212162,
        4.86337923369,
        1.23773943016,
        1.13017694076,
        5.09943396528,
        4.4741720368,
        1.54092409817,
        2.8851235802,
        1.15875306859,
        4.93204856327,
        5.31312736,
        3.48969850886,
        4.89382442775,
        1.46473404121,
        5.56819424455,
        2.77619058613,
        0.13369689085,
        0.64431243991,
        5.37336395843,
        4.33484240447,
        1.33869269116,
        0.30316695138,
        4.30804482989,
        0.4811263351,
        5.70984800135,
        6.02060382308,
        1.92413826292,
        0.91986849601,
        5.28936051941,
        6.17596938223,
        2.76742279514,
        4.69738515912,
        5.78358696622,
        3.21110443213,
        1.90459336979,
        2.03308592691,
        2.11078778994,
        3.43440454322,
        0.82013608893,
        4.24340498319,
        1.3171628574,
        4.67555598732,
        6.20263428999,
        5.67343259467,
        1.51541058227,
        6.22052289061,
        5.13566894741,
        5.83443986197,
        6.01694375584,
        1.06036130597,
        5.25985265745,
        0.65123132262,
        3.44349383922,
        4.90885990739,
        0.2416684715,
        2.16826879959,
        4.55052624968,
        1.29146334369,
        5.96286796963,
        3.81192777968,
        0.27572988542,
        5.32338258618,
        4.36343770041,
        3.78773003979,
        3.50752925238,
        4.06346090551,
        0.17638027363,
        2.42892875675,
        0.16804220244,
        0.91304411194,
        0.19022187362,
        4.65152797704,
        0.54037105135,
        5.2222020645,
        6.2246037249,
        5.83781129189,
        3.65554523534,
        1.48760075848,
        2.11422894625,
        1.65064078721,
        2.33090248405,
        3.3931284998,
        0.8992152464,
        5.70727580993,
        2.70740169801,
        3.35090068282,
        5.59629136646,
        5.82038644847,
        3.33425500011,
        6.15839226574,
        4.81930434459,
        5.99735821999,
        4.30685728121,
        1.84813289069,
        4.92447718078,
        4.14913290174,
        1.19008859693,
        1.16924254829,
        0.61641428977,
        1.3635623998,
        1.8378800366,
        1.09288636884,
        0.65561240609,
        0.21594911177,
        2.79445278511,
        1.05765509778,
        6.28030039661,
        3.32194333896,
        2.88110794062,
        0.41648522301,
        3.27468814796,
        4.95654399301,
        3.93243598582,
        2.18663468608,
        2.4554049544,
        5.51901551995,
        0.05198472409,
        6.08785652303,
        0.58809567989,
        4.3015304867,
        1.27958314866,
        3.72043342105,
        5.85231629543,
        2.37757705902,
        4.58738416662,
        4.11408240826,
        1.44255806186,
        1.46915384562,
        2.0951734045,
        2.03101070691,
        1.31229741323,
        4.25480546013,
        4.87714594181,
        5.60568632571,
        1.36241255057,
        1.18554265407,
        3.80008774802,
        3.22651762138,
        5.85233716551,
        2.70626925959,
        4.22693590424,
        4.95110149071,
        2.59289161193,
        2.74677901344,
        0.02907773024,
        6.18251689735,
        3.25644713958,
        2.43224998073,
        1.57230846027,
        2.43734552323,
        2.45228064336,
        2.7298646789,
        1.31204760835,
        0.66902213114,
        2.16910803165,
        0.84825417283,
        0.53191864317,
        0.59207162429,
        5.30112505951,
        4.75842513626,
        1.04095159566,
        6.15163980389,
        3.67486771061,
        1.2633167697,
        0.99737896217,
        2.57812694404,
        1.51163028004,
        5.16234685777,
        5.52835704075,
        3.90837528693,
        3.23027495127,
        5.87843482101,
        0.27091093377,
        0.5177989811,
        1.3249619715,
        3.87942883373,
        2.66449317354,
        2.86950431371,
        3.95268856947,
        3.50680613163,
        1.31476044069,
        1.45829035132,
        2.20054323238,
        1.46335902098,
        0.78812832104,
        6.21803736938,
        4.56291528763,
        0.90504128787,
        2.68605579572,
        3.16579782135,
        0.83656417761,
        5.65057614189,
        2.02339054092,
        2.480797171,
        1.20191537197,
        3.38390891932,
        4.70448684705,
        0.45212858596,
        5.70772732719,
        1.25838362517,
        6.20652183177,
        4.966289642,
        2.73707139983,
        4.44190853399,
        1.5633328969,
        3.12332782599,
        2.79144830935,
        5.2548473929,
        3.91723617761,
        3.37029838635,
        0.9402861199,
        2.50849975026,
        4.38832321197,
        2.45742729955,
        1.14023208744,
        2.27424506141,
        0.3259113564,
        4.14721310745,
        5.94411846893,
        3.85830083228,
        2.18808663209,
        4.77462627159,
        4.79715993624,
        2.89180118566,
        0.12504746114,
        2.24104597943,
        1.21443168596,
        2.09555876606,
        4.27893371942,
        2.79017690768,
        4.29118767258,
        1.05577091641,
        2.21950314401,
        3.06707334061,
        1.45632160902,
        4.95196720627,
        2.19681205319,
        0.32711706674,
        5.96778289674,
        3.21047421953,
        3.08971667737,
        1.63505259163,
        0.8512784243,
        3.81171113315,
        1.7260413775,
        1.6249015453,
        5.93549950926,
        5.77629318787,
        2.06417795899,
        3.88668079322,
        4.69757339283,
        3.41222829468,
        3.79830417186,
        0.86757359303,
        1.03727724858,
        0.51329977335,
        2.60295729376,
        5.42826152642,
        6.24795212185,
        0.45279950263,
        4.27597448362,
        0.26068379315,
        5.64881997462,
        3.80105116243,
        5.36343302652,
        2.42083154646,
        2.7525740712,
        4.2677160604,
        6.13532982514,
        2.96124483199,
        3.23562442738,
        1.50902113607,
        5.23788081233,
        2.20694290059,
        4.88716400146,
        1.57344232669,
        1.21797191197,
        0.83792596372,
        1.43326576234,
        1.19970132537,
        6.1632739485,
        2.13061381956,
        1.97829463327,
        0.88455549663,
        6.23327093123,
        1.79794788895,
        3.81199974644,
        3.21504654325,
        3.1257896683,
        0.60528202242,
        0.26416908476,
        5.79171536939,
        4.51005837077,
        0.66209885167,
        0.76302606907,
        0.94506625757,
        0.86326378242,
        2.85379501585,
        4.12538485725,
        4.45063317042,
        5.18194728645,
        5.04003954266,
        6.13277193111,
        1.92562812532,
        6.10559069486,
        1.49545356113,
        0.25257995187,
        2.28727319435,
        0.92726421089,
        4.895759853,
        3.14955384513,
        4.45826332823,
        3.30524903499,
        1.32591701514,
        1.14794032361,
        0.30781065642,
        6.12951187669,
        2.54076567072,
        6.00042687336,
        2.56002623387,
        1.07325080538,
        0.16615343726,
        1.45731309163,
        1.98132169566,
        2.46882469796,
        5.5950141089,
        0.76892622524,
        5.70739500607,
        4.39247880899,
        2.07796431043,
        1.03728235557,
        4.30277427326,
        3.710272062,
        4.80847422754,
        5.38571733028,
        0.12937996666,
        0.58823826825,
        0.36123693139,
        3.05473381967,
        2.69799483611,
        1.86340648711,
        5.39053439064,
        3.47566151707,
        1.86339595837,
        2.7496973233,
        2.57348311811,
        3.67104853266,
        0.29032835089,
        5.09418923422,
        5.3587374111,
        0.41906230884,
        2.23461202741,
        0.079938019,
        2.6731341264,
        5.5455351008,
        0.10347092925,
        1.51658586855,
        5.46900605123,
        1.75719236208,
        1.28369403361,
        4.09883259215,
        3.89386878011,
        5.33920988436,
        2.36151426705,
        4.3809565198,
        1.99548298969,
        1.50083275203,
        3.34653267179,
        0.35423361548,
        3.12370531281,
        0.19690988756,
        3.67638389113,
        1.43272530301,
        2.2857514232,
        6.27705191381,
        3.25740106622,
        5.89068478002,
        2.14053404016,
        5.47533039513,
        3.11720914436,
        4.91400967582,
        6.02271689683,
        1.60047864591,
        1.03676860662,
        1.82014094673,
        2.84636794929,
        2.17881414725,
        2.14340790418,
        0.36073274237,
        4.0753627009,
        2.7273775478,
        5.7513697044,
        1.8236859618,
        0.20921743314,
        0.87003863856,
        0.30028112725,
        6.06903250865,
        0.82575212401,
        2.42859720355,
        1.34997153566,
        0.7465328015,
        5.57703162616,
        4.5101441436,
        2.23240151481,
        1.09576811823,
        2.78262893204,
        4.08396200744,
        2.08164520313,
        2.31536038396,
        5.5604283168,
        5.44863811686,
        5.04726142112,
        5.2042655284,
        2.69689845951,
        4.51403145252,
        3.51511061541,
        4.1112797578,
        6.08523383456,
        1.99177130106,
        4.74909112241,
        5.68001469591,
        2.53052550367,
        6.13759453722,
        0.5105429373,
        3.65213559089,
        5.56250823493,
        5.03410941079,
        5.6512007016,
        4.19836125385,
        1.46373921871,
        4.98237868701,
        3.37818588512,
        6.21516760726,
        3.04872277319,
        0.3852666449,
        4.53251590605,
        0.97996534938,
        4.42761937882,
        6.24932174424,
        6.21686018138,
        5.64661364195,
        3.43045021055,
        0.7934633733,
        2.92479817252,
        4.60289486851,
        2.30415626764,
        3.79385866271,
        0.40863452127,
        2.58502310856,
        0.91523739118,
        0.33182574262,
        0.80555474376,
        0.97387565779,
        1.94831932983,
        4.54827834066,
        1.88608745432,
        1.0398017918,
        6.08475811682,
        0.0475337565,
        4.61558010626,
        3.5753552419,
        4.09042241645,
        3.39710168703,
        0.43158734549,
        4.09117978828,
        3.95444170699,
        1.26659627713,
        2.53871998999,
        1.55363228273,
        4.90525724103,
        4.98959403756,
        1.30182253021,
        2.75209469281,
        3.61821751946,
        6.23318457567,
        6.03910121927,
        5.37698735936,
        2.22788409731,
        2.07854652969,
        0.77916428304,
        3.13574966388,
        4.27766403083,
        3.01440438125,
        2.95148116143,
        5.77147938366,
        0.43738095399,
        3.34806236291,
        5.99560668065,
        0.11881932366,
        0.2039822899,
        1.16840005853,
        4.52460985815,
        2.62748087622,
        4.60996708702,
        4.9056716777,
        0.79981986869,
        4.7322106844,
        2.42254478872,
        3.10736186704,
        4.39157176653,
        1.87855507272,
        0.40711466948,
        0.20470303542,
        6.00632565407,
        5.25218074419,
        3.46526834018,
        3.35489835249,
        4.36557051418,
        1.67143354747,
        0.21300456338,
        2.56954470179,
        1.33166239973,
        4.36052585434,
        1.83865415601,
        2.73911257161,
        1.98940467508,
        1.10349996175,
        0.64453355125,
        3.7924286745,
        4.66881004427,
        6.27116384237,
        2.34112858987,
        1.5444749873,
        5.07308302027,
        0.60414645629,
        5.81501189133,
        3.58009173951,
        6.24638766723,
        1.59176755278,
        5.91645211455,
        2.98224235085,
        2.2765640239,
        3.0453183636,
        4.57495887478,
        0.27404631561,
        4.69515666017,
        4.48933959673,
        4.48933959673,
        0.64877553761,
        0.81801801901,
        4.05055802538,
        0.1523486485,
        2.73990779933,
        5.98549196472,
        5.18731950905,
        0.64736011209,
        0.36379616132,
        4.87522768351,
        5.10594513264,
        5.39037296555,
        4.26339575699,
        5.62129859108,
        5.4552258058,
        4.16411482533,
        2.36413128544,
        2.44221382511,
        0.2650470813,
        4.87830155415,
        3.62072467848,
        4.64664167702,
        0.24298448957,
        1.79539178116,
        1.66615367049,
        0.6880321882,
        1.65114888447,
        2.90714941935,
        0.55195474062,
        0.63301755055,
        0.13852930132,
        3.39882375572,
        5.24375477429,
        0.28979853169,
        4.80872386721,
        6.19414707054,
        2.44616325751,
        4.26128512958,
        4.18584755012,
        2.64686968582,
        5.37115714123,
        5.84382021042,
        5.88687181276,
        0.70400726689,
        1.7796728642,
        2.05343251093,
        1.22316379022,
        4.36475644381,
        0.30928416823,
        2.85953206146,
        1.64227556935,
        3.68583487315,
        1.08249837425,
        4.67802137668,
        5.63232378165,
        0.04908988755,
        1.69894362545,
        1.32466818176,
        5.63834183266,
        1.9267063299,
        5.13783491688,
        5.73885801869,
        1.98100336387,
        4.49802504301,
        1.96187033145,
        1.80593057083,
        0.59493067511,
        0.01398952175,
        4.69885872763,
        3.48272421278,
        0.75321492124,
        1.87537098734,
        4.6154620747,
        5.84787741027,
        0.00680453,
        1.34292799669,
        2.9725858935,
        4.30533366512,
        2.28518305813,
        5.0167193365,
        3.93031837723,
        1.7203397658,
        0.70790588748,
        5.90717690029,
        3.03970702934,
        0.1381493896,
        4.32162909656,
        3.70393028752,
        2.77078069512,
        3.41928600573,
        2.99910636875,
        1.85993541573,
        4.77749523511,
        5.830292495,
        5.10256961747,
        1.59445268426,
        3.59113162781,
        5.76598251731,
        2.52155794298,
        5.3077136105,
        0.54826165686,
        3.38359403787,
        4.20190952106,
        2.22740147584,
        5.83769374356,
        0.33774172888,
        3.17156910173,
        2.05466340621,
        5.41354135574,
        3.62871723489,
        2.3267590258,
        2.56286714079,
        2.32832376555,
        2.50615202413,
        3.96404102873,
        5.86207947745,
        4.054754868,
        5.22245385112,
        2.08086119753,
        3.45408554292,
        3.9235106948,
        3.02168366647,
        4.53150424448,
        3.37345520465,
        5.28602240316,
        1.95273113714,
        3.85435039011,
        1.08374685926,
        1.20704230584,
        5.88520431436,
        3.50426087646,
        5.75961632886,
        3.52289496745,
        5.06936627625,
        6.27980868199,
        2.31102641105,
        1.95529510745,
        1.07426067099,
        2.30173432343,
        0.98375947358,
        2.73354004808,
        1.2357264341,
        3.50129097588,
        1.79568687186,
        1.53835988752,
        4.39156950811,
        3.67244160492,
        3.0686665416,
        4.47767598624,
        1.21580989528,
        1.95558000476,
        3.92781056471,
        5.52302459792,
        3.59730911706,
        2.39282306271,
        4.97372856088,
        1.18314786349,
        5.48577517665,
        2.54544364353,
        2.01210100437,
        6.0681237728,
        0.00718300554,
        3.95449289739,
        2.91944659858,
        2.96570583025,
        4.95995674723,
        3.44861046216,
        3.98082100593,
        2.88169222264,
        2.96642006057,
        2.96642006057,
        1.4283724753,
        2.83983881025,
        3.4920733891,
        3.84499571511,
        3.37907074746,
        4.5240706926,
        5.34360557183,
        2.88021294314,
        0.08165804323,
        2.12969540273,
        2.44363933993,
        4.11625838132,
        3.93430854425,
        3.93430854425,
        5.09403476262,
        4.51926390946,
        0.10745457981,
        0.16333880643,
        1.23920060185,
        2.26868943041,
        5.410282084,
        5.50195803246,
        2.58838169596,
        4.99931164886,
        3.1754890305,
        2.75317670197,
        1.46114906045,
        6.03626063674,
        3.21468341749,
        0.43214580939,
        2.38644851609,
        3.04044650688,
        3.88859140273,
        0.75775511775,
        0.09352704461,
        0.25000097268,
        5.5452828346,
        1.99050608386,
        6.04071273632,
        4.80416752233,
        3.4868642248,
        0.69343471577,
        5.83577165546,
        6.01134529585,
        2.01987352433,
        3.26925163574,
        2.56385471112,
        1.50960565043,
        3.67482294787,
        1.21615128625,
        5.83341675596,
        5.69541304884,
        2.63629505046,
        2.62141651385,
    ],
    [
        0.2438174835,
        426.8420083595,
        206.42936592071,
        220.6564599223,
        7.3573644843,
        640.1411037975,
        419.72846135871,
        433.9555553603,
        213.5429129215,
        110.45013870291,
        316.6356871401,
        227.77000692311,
        199.3158189199,
        205.9417309537,
        14.47091148511,
        103.3365917021,
        853.4401992355,
        209.6107596584,
        217.4750661846,
        216.72430665921,
        633.0275567967,
        210.36151918381,
        323.74923414091,
        647.25465079831,
        117.5636857037,
        202.4972126576,
        224.5886131854,
        213.0552779545,
        441.06910236111,
        11.2895177474,
        6.86972951729,
        309.0345051723,
        522.3336006103,
        95.7354097343,
        309.5221401393,
        149.8070146181,
        412.6149143579,
        198.82818395289,
        426.3543733925,
        220.16882495529,
        109.9625037359,
        277.2788112249,
        422.9098550964,
        330.8627811417,
        4.1759707466,
        1066.7392946735,
        234.8835539239,
        3.42521122121,
        415.7963080956,
        537.0483295789,
        423.66061462181,
        529.9347825781,
        860.55374623631,
        430.02340209721,
        846.3266522347,
        211.09523236671,
        215.99059347631,
        522.8212355773,
        412.12727939089,
        838.72547026689,
        437.8877086234,
        743.23387801611,
        96.2230447013,
        3.6883357796,
        223.83785366,
        625.42637482889,
        625.9140097959,
        316.14805217309,
        21.5844584859,
        1059.6257476727,
        88.6218627335,
        430.7741616226,
        124.6772327045,
        654.3681977991,
        515.2200536095,
        203.247972183,
        736.1203310153,
        86.07111631471,
        76.50988875911,
        742.74624304909,
        301.9209581715,
        529.44714761109,
        192.2022719191,
        1155.1173399235,
        302.40859313851,
        218.2087793675,
        231.70216018621,
        629.0954035336,
        941.8182444855,
        208.8770464755,
        728.5191490475,
        288.32451148881,
        18.40306474821,
        632.5399218297,
        203.9816853659,
        10.538758222,
        363.1061100561,
        223.1041404771,
        208.1262869501,
        218.9595388929,
        408.68276109481,
        138.76131435421,
        13.9832765181,
        52.446380556,
        201.01273994931,
        341.01470952831,
        948.9317914863,
        831.6119232661,
        350.5759370839,
        226.07308589371,
        210.6221516147,
        216.4636742283,
        195.38366565681,
        956.53297345411,
        127.22797912329,
        9.8050450391,
        160.852714882,
        207.913838629,
        1059.1381127057,
        1471.50920958009,
        636.2089505344,
        544.1618765797,
        219.171987214,
        22.3352180113,
        703.8770021009,
        202.0095776906,
        56.3785338191,
        750.3474250169,
        1258.21011414209,
        448.1826493619,
        142.6934676173,
        949.4194264533,
        845.8390172677,
        490.5779066629,
        433.46792039329,
        565.35950523021,
        209.35012722751,
        483.4643596621,
        217.73569861551,
        266.233110961,
        618.3128278281,
        515.70768857651,
        1280.0383901115,
        12.77399045571,
        1044.9110187041,
        419.2408263917,
        424.39432780471,
        270.1652642241,
        1265.32366114289,
        70.6056278207,
        1073.85284167431,
        106.5179854398,
        113.6315324406,
        497.69145366371,
        651.1868040614,
        643.32249753521,
        639.6534688305,
        1148.00379292269,
        191.45151239371,
        251.6759485593,
        107.2687449652,
        284.39235822571,
        191.7146369521,
        219.6932520758,
        636.95971005981,
        71.09326278771,
        344.9468627914,
        479.532206399,
        1787.9010792367,
        437.136949098,
        1574.6019837987,
        75.0254160508,
        1375.52998236229,
        98.6561710411,
        359.173956793,
        839.2131052339,
        207.3925737672,
        2.9375762542,
        417.2807808039,
        1162.23088692429,
        227.2823719561,
        235.6343134493,
        175.40987728371,
        416.547067621,
        114.38229196601,
        220.7046440321,
        209.12312469139,
        63.9797157869,
        1581.7155307995,
        337.9763281425,
        352.06040979221,
        429.28968891431,
        121.4958389668,
        151.2914873264,
        181.2995840071,
        4.9096839295,
        404.7506078317,
        554.31380496631,
        934.70469748469,
        63.49208081989,
        245.7862418359,
        99.40443843901,
        205.46615807421,
        867.6672932371,
        81.50831573269,
        621.98185653281,
        131.79077970531,
        1589.3167127673,
        1052.51220067191,
        1361.3028883607,
        10.8018827804,
        323.2615991739,
        194.89603068979,
        148.32254190981,
        644.0732570606,
        445.00125562421,
        214.2936724469,
        198.5650593945,
        842.3944989716,
        1464.3956625793,
        289.8089841971,
        206.3811818109,
        89.10949770051,
        265.745475994,
        276.79117625789,
        178.11819026941,
        212.79215339611,
        228.5207664485,
        275.7943385166,
        209.87388421679,
        78.9575693139,
        248.9676355736,
        1890.9938534553,
        102.84895673509,
        501.62360692681,
        2104.2929488933,
        729.0067840145,
        436.4032359151,
        414.31183538731,
        114.6429243969,
        215.0273856298,
        31.9995114309,
        1478.62275658089,
        355.99256305531,
        427.805216206,
        1691.9218520189,
        735.6326960483,
        405.5013673571,
        190.9638774267,
        278.76328393321,
        1898.10740045609,
        425.878800513,
        431.5078748055,
        69.3963417583,
        602.00806815971,
        618.8004627951,
        299.37021175271,
        917.1760975389,
        576.4052054941,
        319.8170808778,
        1251.0965671413,
        241.9971009247,
        422.1761419135,
        5.6604434549,
        313.4542934024,
        230.9514006608,
        508.10650660869,
        134.3415261241,
        426.8901924693,
        312.70353387701,
        320.5678404032,
        39.6006933987,
        421.4253823881,
        189.1638905333,
        327.68138740401,
        221.61966776881,
        98.91680347199,
        295.2950461377,
        205.67860639531,
        120.1144321225,
        956.04533848709,
        1780.78753223589,
        439.37218133171,
        6276.2061204741,
        1169.83206889211,
        1272.9248431107,
        778.6586006682,
        348.1282565291,
        212.05844021321,
        6290.4332144757,
        294.80741117069,
        74.53778108379,
        1677.6947580173,
        127.71561409031,
        10206.4158166937,
        696.7634551001,
        117.0760507367,
        237.9219353097,
        2207.38572311189,
        426.7938242497,
        10220.6429106953,
        15.2216710105,
        167.07249000551,
        415.3086731286,
        710.99054910171,
        525.7419968841,
        39.1130584317,
        1795.0146262375,
        106.0303504728,
        312.4429014461,
        182.5234242845,
        59.55992755679,
        87.555589023,
        196.2774375341,
        1162.7185218913,
        202.760337216,
        381.5954257209,
        432.471082652,
        2420.68481854989,
        536.5606946119,
        1376.0176173293,
        429.7627696663,
        852.9525642685,
        757.4609720177,
        661.4817447999,
        395.8225197225,
        97.11681657861,
        849.5080459724,
        91.8032564712,
        1272.4372081437,
        116.18227885939,
        129.6756596781,
        431.03479405351,
        144.39038864671,
        230.8083883089,
        374.15181032,
        2214.4992701127,
        1567.48843679789,
        216.9874312176,
        777.17412795991,
        1582.2031657665,
        305.5899868762,
        416.059432654,
        422.42222012939,
        333.9011625275,
        67.424234083,
        426.3207434977,
        221.40721944771,
        558.2459582294,
        28.6980054867,
        432.2586343309,
        196.8681383651,
        145.874861355,
        5849.1202946311,
        2008.3137216755,
        343.4623900831,
        216.2366716922,
        199.528267241,
        84.5866436064,
        206.9506307825,
        1155.6049748905,
        192.935985102,
        767.61290040431,
        618.0497032697,
        200.2095907972,
        99.6675629974,
        238.815707187,
        182.05034353251,
        572.473052231,
        20.850745303,
        9779.32999085069,
        185.2317372702,
        281.210964488,
        62.0076081116,
        188.41313100791,
        404.2629728647,
        153.73916788121,
        427.3632732213,
        212.27088853431,
        214.81493730871,
        5863.3473886327,
        227.557558602,
        244.5624015585,
        1265.81129610991,
        41.4006802921,
        143.9027536797,
        156.9205616189,
        563.87503252191,
        226.8762350458,
        159.36824217371,
        50.9619078477,
        131.6477673534,
        260.01333583751,
        46.71424039951,
        333.4135275605,
        637.69342324271,
        234.149840741,
        963.6465204549,
        64.97655352819,
        9793.5570848523,
        67.91186905,
        326.9306278786,
        45.3328335552,
        547.2002579655,
        2097.1794018925,
        241.8540885728,
        556.7614855211,
        238.6726948351,
        245.03548231051,
        212.6491410442,
        214.43668479881,
        206.47755003051,
        824.4983762653,
        423.17297965479,
        93.1846633155,
        347.6406215621,
        2523.7775927685,
        1588.82907780029,
        220.60827581251,
        78.2068097885,
        411.8641548325,
        646.76701583129,
        329.48137429739,
        60.52313540329,
        259.1195639602,
        174.1860370063,
        464.97504399731,
        273.34665796181,
        2111.40649589409,
        864.4858994994,
        627.61093082531,
        282.6954371963,
        942.3058794525,
        1493.3374855495,
        357.68948408471,
        134.8291610911,
        749.8597900499,
        267.71758366931,
        459.0853372739,
        23.81969071961,
        1287.15193711231,
        561.4273519671,
        224.1009782184,
        339.53023682,
        196.1344251822,
        638.65663108921,
        186.71620997851,
        82.13896305161,
        570.98857952271,
        526.7533888404,
        106.7811099982,
        1994.08662767389,
        171.8984151459,
        508.5941415757,
        1883.8803064545,
        295.4380584896,
        329.9690092644,
        334.7949344048,
        2737.0766882065,
        533.1161763158,
        215.8305347819,
        211.2552910611,
        193.8991929485,
        128.7124518316,
        427.5927678849,
        273.8222308413,
        30.7756711535,
        162.3371875903,
        53.93085326429,
        2530.8911397693,
        432.9923475138,
        856.62159297321,
        692.831301837,
        611.1992808273,
        113.89465699899,
        421.212934067,
        240.36961586451,
        1052.02456570489,
        258.6319289932,
        422.64922266551,
        137.2768416459,
        272.85902299479,
        423.9212470527,
        255.1874106971,
        100.1551979644,
        252.8997888367,
        489.0934339546,
        21.0968235189,
        342.4991822366,
        533.8669358412,
        108.0024581481,
        472.4186593982,
        29.44876501211,
        125.743506415,
        394.5986794451,
        24.1352049047,
        1898.5950354231,
        1905.2209474569,
        408.19512612779,
        650.436044536,
        518.8890823142,
        1471.9968445471,
        291.5059052265,
        167.9662618828,
        418.76525351221,
        405.0137323901,
        264.7486382527,
        486.64575339981,
        230.2176874779,
        551.27542358051,
        2324.70559133209,
        835.28095197081,
        138.2736793872,
        361.62163734781,
        1140.8902459219,
        1486.2239385487,
        225.3223263683,
        201.7634994747,
        33.6964324603,
        430.2865266556,
        492.06237937121,
        2840.1694624251,
        428.32648106781,
        32.48714639791,
        425.35753565121,
        364.5905827644,
        397.63706083091,
        850.25880549781,
        2413.5712715491,
        312.9666584354,
        1169.34443392509,
        1055.6935944096,
        2427.7983655507,
        504.8050006645,
        658.30035106221,
        526.2657538734,
        174.9222423167,
        292.2566647519,
        448.9334088873,
        434.0037394701,
        1692.40948698591,
        410.1672338031,
        832.0995582331,
        205.90810105891,
        215.2398339509,
        211.8459918921,
        370.2196570569,
        471.9310244312,
        320.0802054362,
        2119.00767786191,
        33.3809182752,
        77.9943614674,
        406.23508054,
        732.45130231059,
        440.5814673941,
        2200.2721761111,
        221.17772478411,
        16.9185920399,
        189.96703968541,
        245.2986068689,
        120.74507944141,
        215.1874443242,
        211.8983815188,
        203.5086046139,
        223.5772212291,
        224.8492456163,
        202.2365802267,
        38.3768531213,
        542.78046973539,
        170.2538837432,
        305.85311143459,
        135.5799206165,
        340.52707456129,
        10.051123255,
        1045.3986536711,
        629.846163059,
        553.82616999929,
        1066.2516597065,
        136.78920667889,
        494.510059926,
        466.1988842747,
        2221.6128171135,
        418.2439886504,
        409.4335206202,
        441.8198618865,
        731.70054278519,
        237.11878615761,
        407.1982883865,
        92.55401599659,
        1080.9663886751,
        105.76971804189,
        256.08118257441,
        426.0912488341,
        73.5409433425,
        467.9988711681,
        128.6093859676,
        1802.6158082053,
        6062.4193900691,
        2847.28300942589,
        84.6897094704,
        254.6997757301,
        220.7683345069,
        451.2210307477,
        519.15220687259,
        486.1581184328,
        388.70897272171,
        345.08987514331,
        511.2879003464,
        543.2681047024,
        54.89406111079,
        630.5798762419,
        815.3071635977,
        57.86300652739,
        5635.8211991931,
        857.3723524986,
        639.177895951,
        171.0046432686,
        3053.46855786309,
        9992.62908628869,
        721.40560204669,
        455.29619636271,
        641.104311644,
        738.814089786,
        92.2908914382,
        462.2667310116,
        2214.98690507971,
        419.77664546851,
        1685.2959399851,
        426.7301337749,
        468.4865061351,
        739.5648493114,
        77.7191748215,
        403.26613512341,
        198.0774244275,
        256.8319420998,
        420.6916692052,
        200.80029162821,
        226.28553421481,
        540.98048284201,
        207.1801254461,
        219.9057003969,
        2729.96314120569,
        297.9888049084,
        402.4629859713,
        714.92270236481,
        1485.7363035817,
        455.1531840108,
        503.1080796351,
        269.6776292571,
        131.16013238639,
        112.8978192577,
        283.9047232587,
        172.48911597691,
        525.514994348,
        593.67068088151,
        649.7023313531,
        478.0477336907,
        1457.2821155785,
        1596.43025976811,
        397.14942586389,
        9.3174100721,
        2310.4784973305,
        211.5708052462,
        927.5911504839,
        186.4555775476,
        1258.6977491091,
        5.1728084879,
        5650.0482931947,
        1382.64352936309,
        184.3379653929,
        233.1866328945,
        426.9538829441,
        980.91199584231,
        434.91876320681,
        1383.13116433011,
        9580.2579894143,
        42.78208713641,
        487.60896124631,
        149.3193796511,
        142.20583265029,
        724.5869957844,
        481.01667910731,
        348.8790160545,
        28.5549931348,
        28.0673581678,
        298.4764398754,
        141.46962733991,
        6489.5052159121,
        479.044571432,
        1788.38871420371,
        2744.1902352073,
        1368.9040703285,
        271.6497369324,
        254.5967098661,
        1048.8431719672,
        49.26498681829,
        642.58878435231,
        427.0544566806,
        518.40144734719,
        3156.5613320817,
        4.4220489625,
        419.6802772489,
        10419.7149121317,
        16.4309570729,
        71.8440223131,
        702.3925293926,
        240.6302482954,
        640.1892879073,
        200.52510498229,
        990.47322339791,
        411.3765198655,
        6077.1341190377,
        426.6295600384,
        163.1403367424,
        2641.0974609887,
        398.38782035631,
        25.516611749,
        206.54124050531,
        774.7264474051,
        175.6705097146,
        594.8945211589,
        183.85033042589,
        705.36147480921,
        420.2497262205,
        9566.03089541269,
        481.97988695381,
        842.65762352999,
        1575.08961876571,
        692.34366686999,
        355.50492808829,
        484.9488323704,
        457.8614969965,
        622.2449810912,
        5165.60650620771,
        2538.00468677009,
        267.22994870229,
        1127.50624756031,
        10007.3438152573,
        789.7043009321,
        760.4993534035,
        2001.68780964171,
        1194.21109128031,
        189.47940471839,
        152.77596003471,
        3046.3550108623,
        380.37158544351,
        144.1779403256,
        2008.8013566425,
        353.5448825005,
        6069.53293706989,
        1112.3159457122,
        91.54262404029,
        1802.12817323829,
        268.68079151581,
        3333.7426971825,
        97.9199657307,
        490.09027169589,
        258.78949556011,
        26081.03341205689,
        5216.33655531789,
        784.28767496071,
        206.3174913361,
        304.84171947829,
        1332.728588151,
        1048.0924124418,
        555.7982776746,
        1101.2702454483,
        3347.96979118411,
        9999.7426332895,
        372.77040347569,
        26095.2605060585,
        1037.7974717033,
        208.3894115085,
        552.829332258,
        2318.0796792983,
        910.0625505381,
        204.9448932124,
        222.14093263061,
        699.94484883781,
        393.70490756781,
        1130.47519297691,
        770.0605809591,
        835.5440765292,
        427.10264079041,
        392.9017584157,
        9146.54625153749,
        397.9001853893,
        1479.11039154791,
        721.8932370137,
        319.06881347989,
        3163.6748790825,
        37.88921815429,
        263.9454891006,
        140.2457870625,
        251.4153161284,
        694.31577454531,
        60.79832204921,
        60.3106870822,
        907.0936051215,
        185.08872491831,
        170.51700830159,
        921.3206991231,
        31.73638687251,
        190.6483632416,
        236.4374626014,
        1126.54303971381,
        2833.0559154243,
        460.7822583033,
        448.98829064149,
        78.4699343469,
        34.1840674273,
        2325.1932262991,
        349.0914643756,
        100.4012761803,
        1176.9456158929,
        282.9078855174,
        286.8400387805,
        69.12115511239,
        12.28635548869,
        187.67941782501,
        239.40640801801,
        2487.1722274643,
        213.00709384469,
        2516.66404576769,
        2531.3787747363,
        906.130397275,
        401.569214094,
        351.5727748252,
        350.08830211689,
        11926.01059618529,
        4127.5652170209,
        203.49405039889,
        264.2610032857,
        827.67977000299,
        51535.66517935089,
        41.2976144281,
        65.46418849521,
        629.35852809199,
        168.2963302829,
        617.5620683027,
        188.270118656,
        606.5163680388,
        274.30986580831,
        1062.80714141041,
        50.6463936626,
        50.15875869559,
        2090.06585489169,
        681.2979666061,
        1560.3748897971,
        9594.99527173989,
        74.3947687319,
        674.1844196053,
        1902.5271886862,
        200.27902676641,
        226.80679907661,
        2847.77064439291,
        17.6523052228,
        740.0524842784,
        348.3913810875,
        527.4871020233,
        184.6010899513,
        2957.48933064529,
        1243.98302014049,
        747.1660312792,
        1773.6739852351,
        2435.3995475185,
        3060.5821048639,
        393.2172726008,
        305.10235190919,
        81.9959506997,
        526.00262931501,
        72.090100529,
        25234.46294233869,
        511.7755353134,
        145.387226388,
        336.5949212982,
        2118.5200428949,
        1055.2059594426,
        739.30172475301,
        234.3959189569,
        306.34074640161,
        1144.0716396596,
        179.6026629777,
        746.67839631219,
        634.7244778261,
        366.2875037938,
        383.81610373959,
        2107.96197759801,
        10000.23026825651,
        247.4831628653,
        1680.87615175499,
        3472.9532017383,
        151.5039356475,
        6070.0205720369,
        141.9427080919,
        2920.8839653411,
        2634.47154895491,
        3369.8604275197,
        1314.5693408863,
        691.3468291287,
        1044.6478941457,
        141.208994909,
        179.9181771628,
        220.54458533771,
        1460.2003847578,
        480.00777927849,
        1534.9819833251,
        437.40007365639,
        184.97110483931,
        242.11472100371,
        1791.0824729744,
        938.63685074779,
        25668.17468021549,
        210.60759739969,
        252.4121538697,
        610.44852130189,
        610.93615626891,
        17.91542978119,
        398.5308327082,
        235.68919520349,
        746.15463932291,
        5481.9983758643,
        192.448350135,
        314.1880065853,
        561.6904765255,
        614.38067456499,
        905.64276230799,
        322.3678272966,
        782.59075393131,
        1372.3485886246,
        24.6228398717,
        731.92754532131,
        2906.6568713395,
        195.6467902152,
        6062.9070250361,
        1159.0494931866,
        239.8819808975,
        1468.3278158424,
        2.69149803831,
        124.18959773749,
        115.11600514891,
        196.3805033981,
        494.2348732801,
        121.0082039998,
        120.01136625851,
        4863.4417305527,
        25653.94758621389,
        307.07445958451,
        5842.0067476303,
        418.97770183331,
        97.17169833279,
        416.79314583689,
        141.4550731249,
        1364.4842820984,
        1151.93594618579,
        220.8689082434,
        206.2169175996,
        12779.6946129043,
        285.61619850311,
        73.0533083755,
        1048.58004740881,
        1250.83344258291,
        287.6938641699,
        4443.9570866775,
        952.3401877601,
        138.9043267061,
        1368.4164353615,
        105.7842722569,
        105.2966372899,
        700.90805668431,
        5378.90560164571,
        640.0929196877,
        246.68001371321,
        9772.21644384989,
        1571.1574655026,
        6467.68194047809,
        519.63984183961,
        739.0410923221,
        1699.0353990197,
        636.47207509279,
        31.2633061205,
        212.579705075,
        212.092070108,
        988.0255428431,
        1585.38455950421,
        3149.44778508089,
        1328.79643488791,
        12146.42323862409,
        685.2301198692,
        685.7177548362,
        2641.5850959557,
        2111.8941308611,
        1239.78774231901,
        2115.0755245988,
        756.56720014041,
        1471.2460850217,
        3391.68870348911,
        609.1216151605,
        388.2213377547,
        327.19375243699,
        477.2445845386,
        473.31243127551,
        635.4752373515,
        1365.23504162379,
        123.2958258602,
        3362.74688051889,
        227.81819103291,
        199.26763481011,
        222.6165055101,
        9993.1167212557,
        319.0833676949,
        834.7933170038,
        206.64181424181,
        220.44401160121,
        2442.5130945193,
        1891.4814884223,
        60.04756252381,
        220.1351950605,
        540.2297233166,
        2854.3965564267,
        781.8399944059,
        5436.7491977567,
        3494.2938427407,
    ],
];

pub(crate) const X2: [[f64; 511]; 3] = [
    [
        0.0086272193,
        0.00611630287,
        0.00561413805,
        0.0054727137,
        0.00234984093,
        0.00088108317,
        0.00050142527,
        0.00045054746,
        0.00033335009,
        0.00027185514,
        0.00018651786,
        0.00012946617,
        0.00010383025,
        0.00006684574,
        0.00004661903,
        0.00004933834,
        0.00004778577,
        0.00004377928,
        0.00003532396,
        0.00002688895,
        0.00002540548,
        0.00002540549,
        0.00002506252,
        0.00002582753,
        0.00002111683,
        0.00002306046,
        0.00001843706,
        0.00001272298,
        0.00000940336,
        0.0000080498,
        0.00000698973,
        0.0000065301,
        0.00000766827,
        0.00000662176,
        0.00000565841,
        0.00000765788,
        0.00000672412,
        0.00000490992,
        0.00000440264,
        0.00000426768,
        0.00000427613,
        0.00000505832,
        0.00000559499,
        0.00000439569,
        0.00000404335,
        0.00000400108,
        0.00000338086,
        0.00000310691,
        0.0000035634,
        0.00000268315,
        0.00000265067,
        0.00000249792,
        0.00000244377,
        0.0000030565,
        0.0000026349,
        0.00000243362,
        0.00000228016,
        0.00000208205,
        0.00000262941,
        0.00000217559,
        0.00000204218,
        0.00000207097,
        0.00000226266,
        0.00000164818,
        0.00000154166,
        0.00000159821,
        0.00000127987,
        0.00000150521,
        0.00000109809,
        0.00000107126,
        0.00000125246,
        0.00000119913,
        0.0000009587,
        0.00000093192,
        0.00000082653,
        0.00000080395,
        0.00000086059,
        0.00000078439,
        0.00000095719,
        0.00000069822,
        0.00000088159,
        0.00000062703,
        0.00000061768,
        0.00000059007,
        0.00000057483,
        0.00000068064,
        0.00000073156,
        0.00000066143,
        0.00000046643,
        0.00000046381,
        0.00000049127,
        0.00000045075,
        0.00000045874,
        0.00000039597,
        0.00000037898,
        0.00000044466,
        0.00000034788,
        0.00000032598,
        0.00000033292,
        0.00000041206,
        0.00000032714,
        0.00000041218,
        0.00000036847,
        0.00000028979,
        0.00000030445,
        0.00000038514,
        0.00000033922,
        0.0000002974,
        0.00000034418,
        0.0000003192,
        0.00000035309,
        0.00000026923,
        0.00000026272,
        0.0000002594,
        0.00000029423,
        0.00000026782,
        0.00000024375,
        0.00000025294,
        0.00000023209,
        0.00000022169,
        0.00000023117,
        0.0000002135,
        0.00000022067,
        0.00000022088,
        0.00000020601,
        0.00000020035,
        0.00000026634,
        0.00000020249,
        0.00000019318,
        0.00000017591,
        0.00000018938,
        0.00000021595,
        0.00000020105,
        0.00000021565,
        0.00000016938,
        0.00000016497,
        0.0000002136,
        0.00000019384,
        0.00000015417,
        0.00000016591,
        0.00000016177,
        0.00000014854,
        0.00000019063,
        0.00000018723,
        0.00000018567,
        0.00000014166,
        0.00000017119,
        0.00000018888,
        0.00000013506,
        0.00000017909,
        0.00000013747,
        0.00000014401,
        0.00000016878,
        0.00000013527,
        0.00000013436,
        0.00000012962,
        0.00000015865,
        0.00000013136,
        0.00000012088,
        0.00000012658,
        0.00000012303,
        0.00000011905,
        0.00000012624,
        0.00000012885,
        0.00000012454,
        0.00000012341,
        0.00000011182,
        0.0000001086,
        0.00000010568,
        0.00000010726,
        0.00000013731,
        0.00000011066,
        0.00000010568,
        0.00000011834,
        0.00000013045,
        0.00000012746,
        0.00000011214,
        0.00000011539,
        0.00000012236,
        0.00000009934,
        0.00000010182,
        0.00000009148,
        0.00000009436,
        0.00000008422,
        0.00000008359,
        0.00000008253,
        0.00000009478,
        0.00000010785,
        0.00000008229,
        0.00000007715,
        0.0000000847,
        0.00000007922,
        0.00000007332,
        0.00000007694,
        0.00000008936,
        0.00000009236,
        0.00000007408,
        0.00000007006,
        0.00000008885,
        0.00000006858,
        0.00000006727,
        0.00000006237,
        0.0000000644,
        0.00000008565,
        0.00000007708,
        0.00000006384,
        0.00000007986,
        0.00000005697,
        0.00000005771,
        0.00000005568,
        0.00000006666,
        0.00000006258,
        0.00000005194,
        0.00000005192,
        0.00000006155,
        0.00000005311,
        0.00000006053,
        0.00000006283,
        0.0000000555,
        0.00000006169,
        0.00000004641,
        0.00000004643,
        0.00000004944,
        0.00000004821,
        0.00000004551,
        0.00000004644,
        0.00000004204,
        0.00000004172,
        0.00000004304,
        0.00000004123,
        0.00000004456,
        0.00000005291,
        0.00000004026,
        0.0000000528,
        0.00000004248,
        0.00000003877,
        0.00000003948,
        0.00000004047,
        0.00000003924,
        0.00000004377,
        0.00000003858,
        0.00000003847,
        0.00000005256,
        0.00000005054,
        0.00000004175,
        0.0000000415,
        0.0000000376,
        0.00000004966,
        0.0000000488,
        0.00000004042,
        0.00000004914,
        0.00000003672,
        0.00000004671,
        0.00000003483,
        0.000000037,
        0.000000043,
        0.00000003599,
        0.00000003544,
        0.00000003267,
        0.00000003574,
        0.00000003416,
        0.00000003394,
        0.00000003544,
        0.00000003999,
        0.00000003152,
        0.00000003262,
        0.00000003054,
        0.0000000335,
        0.0000000334,
        0.00000003138,
        0.00000003732,
        0.00000003741,
        0.00000003047,
        0.00000003048,
        0.00000002851,
        0.00000002864,
        0.00000002898,
        0.00000002898,
        0.00000002819,
        0.00000003469,
        0.00000003327,
        0.00000002927,
        0.00000003762,
        0.00000002893,
        0.00000003707,
        0.00000002804,
        0.00000002799,
        0.00000003378,
        0.00000002783,
        0.00000003526,
        0.00000002541,
        0.00000002607,
        0.00000002465,
        0.00000002461,
        0.00000002462,
        0.00000002579,
        0.00000002414,
        0.00000002533,
        0.0000000239,
        0.00000002433,
        0.00000002747,
        0.0000000242,
        0.00000002297,
        0.00000002813,
        0.00000002913,
        0.0000000286,
        0.00000002387,
        0.00000002258,
        0.00000002293,
        0.00000002711,
        0.00000002337,
        0.00000002777,
        0.00000003022,
        0.00000002327,
        0.00000002152,
        0.00000002147,
        0.00000002162,
        0.00000002184,
        0.00000002297,
        0.00000002099,
        0.00000002122,
        0.00000002068,
        0.00000002635,
        0.00000002175,
        0.00000002049,
        0.00000002103,
        0.00000002036,
        0.00000002045,
        0.00000001996,
        0.00000002709,
        0.00000002499,
        0.00000002481,
        0.00000002555,
        0.00000002555,
        0.00000002082,
        0.00000002231,
        0.00000002095,
        0.0000000192,
        0.0000000191,
        0.00000002301,
        0.00000002228,
        0.00000002219,
        0.00000002444,
        0.0000000195,
        0.00000001941,
        0.000000019,
        0.00000002353,
        0.00000001819,
        0.00000001992,
        0.00000001805,
        0.00000002272,
        0.00000001823,
        0.00000002143,
        0.00000001841,
        0.00000001834,
        0.00000001777,
        0.00000002138,
        0.00000001887,
        0.0000000239,
        0.00000001825,
        0.0000000173,
        0.00000002103,
        0.00000001779,
        0.00000001911,
        0.00000001811,
        0.0000000171,
        0.00000002261,
        0.00000001681,
        0.00000002093,
        0.00000002071,
        0.00000001691,
        0.0000000208,
        0.00000001764,
        0.00000001662,
        0.00000001748,
        0.00000001696,
        0.00000002142,
        0.00000002282,
        0.00000001748,
        0.00000001908,
        0.00000001808,
        0.00000001794,
        0.00000002167,
        0.00000001602,
        0.00000001891,
        0.00000002205,
        0.00000001597,
        0.00000001719,
        0.00000002158,
        0.00000001659,
        0.00000001737,
        0.00000001501,
        0.00000001587,
        0.00000001488,
        0.0000000146,
        0.00000001835,
        0.00000001708,
        0.00000001842,
        0.00000001895,
        0.00000001423,
        0.00000001423,
        0.00000001568,
        0.00000001663,
        0.00000001491,
        0.00000001913,
        0.00000001496,
        0.00000001477,
        0.0000000141,
        0.00000001748,
        0.00000001325,
        0.00000001352,
        0.00000001414,
        0.00000001697,
        0.00000001424,
        0.00000001424,
        0.00000001295,
        0.00000001272,
        0.0000000174,
        0.00000001435,
        0.0000000126,
        0.00000001316,
        0.00000001303,
        0.00000001701,
        0.00000001245,
        0.0000000124,
        0.00000001286,
        0.0000000124,
        0.00000001365,
        0.00000001362,
        0.00000001206,
        0.00000001503,
        0.00000001305,
        0.00000001167,
        0.00000001167,
        0.00000001155,
        0.0000000122,
        0.00000001153,
        0.00000001188,
        0.00000001558,
        0.00000001423,
        0.00000001138,
        0.00000001133,
        0.00000001109,
        0.00000001109,
        0.00000001434,
        0.00000001122,
        0.00000001123,
        0.00000001154,
        0.0000000113,
        0.00000001305,
        0.00000001248,
        0.00000001161,
        0.00000001178,
        0.00000001342,
        0.00000001249,
        0.00000001034,
        0.00000001332,
        0.00000001024,
        0.00000001173,
        0.00000001173,
        0.00000001012,
        0.00000001186,
        0.00000001049,
        0.00000001154,
        0.00000001062,
        0.00000001124,
        0.00000000993,
        0.00000000986,
        0.00000000986,
        0.00000000992,
        0.00000001239,
        0.00000001134,
        0.00000001041,
        0.00000001025,
        0.00000001044,
        0.00000001335,
        0.00000001199,
        0.00000001174,
        0.00000001213,
        0.00000000973,
        0.00000000973,
        0.00000001167,
        0.00000000936,
        0.00000001073,
        0.00000000931,
        0.00000000931,
        0.00000001237,
        0.00000001074,
        0.00000000976,
        0.00000000907,
        0.00000000925,
        0.00000000999,
        0.00000000931,
        0.00000001094,
        0.00000000949,
        0.00000000964,
        0.00000000947,
        0.00000000898,
        0.00000001029,
        0.00000000989,
        0.00000001003,
        0.00000000886,
        0.0000000092,
        0.00000000888,
        0.00000000888,
        0.0000000096,
        0.00000000881,
        0.00000000924,
        0.0000000096,
        0.00000000886,
        0.00000000909,
    ],
    [
        2.44701762869,
        2.28479450822,
        1.25489421778,
        3.61668298145,
        2.44660941367,
        4.86838582414,
        2.69730354414,
        0.35338915884,
        1.58127217455,
        3.49604874733,
        0.02912884251,
        1.40691297654,
        4.75910342894,
        5.66699712629,
        1.83447973785,
        3.08177201518,
        1.81292692641,
        5.2402578861,
        0.77695513689,
        3.15397291653,
        2.64953783571,
        1.72979147362,
        4.68668320836,
        1.59861873487,
        0.27536451133,
        3.67686226266,
        3.97050945214,
        0.25661618943,
        0.85421668175,
        3.35669822169,
        5.48447806995,
        3.44302214541,
        1.08680299509,
        5.13243854047,
        6.26658788528,
        3.85596138373,
        1.14437192898,
        4.81907666832,
        3.59515263445,
        0.70988535006,
        1.00345444265,
        4.26386101303,
        3.55753813954,
        4.61666678676,
        2.95264099159,
        2.21768387014,
        0.01109251698,
        4.43935743139,
        2.07173270088,
        5.61477011539,
        1.09651380636,
        3.78368875676,
        1.8178224805,
        3.17709889511,
        3.3279941383,
        1.58340419486,
        3.15581836524,
        1.59689210791,
        3.8199898424,
        2.12737362973,
        2.31819875139,
        2.04294057461,
        2.00241821857,
        2.78185091937,
        2.09392737387,
        5.14771420694,
        3.10053496626,
        4.33804123124,
        2.44188223375,
        4.17749068544,
        3.27781318747,
        4.03198023861,
        0.5553655037,
        1.91525183876,
        2.55387341854,
        4.59254494799,
        4.21228581841,
        3.94622515922,
        0.39732138114,
        2.9330239847,
        4.69429588352,
        1.89462060621,
        5.02462718406,
        0.78786498806,
        5.15275075778,
        2.90200859132,
        3.00215539369,
        5.32689397063,
        2.8282871205,
        2.73650889523,
        3.98526295508,
        3.61480562395,
        0.00322886163,
        0.18910102232,
        5.19338156968,
        3.71987438426,
        1.53042898513,
        5.38947358762,
        3.55448256672,
        4.06677518336,
        3.96597866859,
        1.19485367697,
        0.14902811646,
        4.45566358804,
        5.99732067739,
        2.16683520575,
        2.16638658532,
        5.33246443349,
        1.38531328883,
        2.71809642095,
        4.6477736159,
        2.72104940113,
        2.14472258006,
        1.96359688358,
        5.51595511461,
        2.69721459229,
        5.77172279789,
        4.58498242616,
        1.00054709783,
        0.86121660984,
        6.14239842522,
        3.80984077151,
        1.65390020558,
        2.09313761105,
        2.14444325102,
        2.56955927602,
        2.72752998143,
        1.0882821397,
        0.56867565113,
        0.47058042874,
        3.01811688461,
        5.64697422334,
        2.11272613285,
        4.03058232828,
        2.88265146092,
        4.71187682763,
        5.07283473961,
        3.45868972702,
        3.16624042233,
        4.54165521178,
        6.04286742202,
        1.11858145356,
        2.07999478622,
        2.8000475314,
        6.15802064616,
        3.57626351086,
        0.83663196525,
        2.63389139857,
        4.0396393405,
        3.76988751681,
        2.11060380479,
        0.4233549096,
        2.75966318459,
        6.11265092399,
        4.50317832794,
        0.85501464894,
        2.58925256281,
        2.14345131759,
        4.09973262355,
        3.42538380158,
        3.76145799738,
        0.05199682564,
        5.92655665827,
        3.7101152881,
        2.37524428293,
        3.56682893682,
        4.71695359508,
        2.79531710541,
        5.88568250783,
        5.64879100007,
        0.78531914787,
        2.49843137169,
        4.02434153212,
        5.61242569644,
        2.99603652801,
        3.09998912111,
        2.2609195179,
        0.54965317551,
        4.46231008485,
        4.15810018234,
        5.59563792015,
        2.31017574698,
        3.25931284572,
        1.74868225923,
        1.43667117664,
        0.86562358245,
        2.1216678438,
        2.48347595884,
        3.53945903151,
        0.79383137585,
        3.01956396957,
        5.89929744937,
        2.8016306911,
        4.96303865474,
        3.18123904182,
        4.82991847781,
        1.03969580778,
        0.72365973561,
        3.49149089495,
        1.01645145725,
        0.58555082022,
        2.16585608727,
        5.35585173212,
        3.30273694005,
        5.79722814055,
        3.26113757491,
        4.72604674713,
        5.81066083045,
        2.43214323984,
        1.85852168121,
        3.97400153538,
        0.27664464362,
        6.09782391086,
        6.26641739333,
        5.15951383844,
        5.92397473787,
        2.87275161723,
        3.9302447258,
        3.50331649787,
        2.11657776036,
        5.22350241766,
        4.78610214245,
        2.25390759795,
        2.05306967383,
        2.00498534256,
        4.49405917272,
        0.80174207582,
        0.63505087766,
        1.0086043873,
        4.15758653931,
        2.99760258198,
        4.58152433636,
        6.02985977936,
        4.11176050624,
        3.57017670015,
        3.03469279117,
        5.52901251368,
        2.10751405728,
        1.24978633707,
        6.224866032,
        0.27422301004,
        4.82150225291,
        4.70444208702,
        1.2705822947,
        2.79949589454,
        4.07784295914,
        4.2587990443,
        5.83309328873,
        2.13206549479,
        6.1688280737,
        6.12887362514,
        3.95123578303,
        3.22550913459,
        5.20582592049,
        2.707831547,
        2.91568424793,
        1.40195749079,
        2.31276351688,
        1.20456424957,
        5.94804944384,
        1.75912124355,
        3.09924705896,
        2.13015052882,
        3.2270163378,
        1.19755571878,
        5.70768338968,
        0.93612488497,
        5.352335323,
        2.6818632318,
        0.69922169045,
        4.18854031121,
        0.62303283965,
        1.79037915226,
        5.94415826698,
        4.73186877358,
        6.0913997811,
        2.37720286549,
        5.65686211315,
        6.19576518658,
        4.96542567369,
        3.1542199334,
        2.32768555098,
        0.62502984773,
        6.25258908606,
        1.85956087078,
        3.11861161896,
        0.07347298152,
        1.60714359099,
        5.69238885511,
        6.21925842594,
        5.29829781548,
        3.83630269401,
        1.10299698027,
        3.95494769587,
        5.12829780057,
        4.98684783023,
        5.95835828919,
        3.91175931336,
        5.50027750787,
        3.53308752088,
        3.63141908197,
        4.62294661622,
        2.6180322039,
        5.66780576556,
        2.14239548593,
        5.75550548585,
        3.66176528516,
        3.4252111555,
        4.30779033149,
        4.38875028285,
        4.98618107601,
        1.92096933827,
        4.27657430351,
        2.43188651345,
        4.96770554275,
        5.81368882353,
        4.60033037919,
        4.98321991931,
        5.88374894966,
        3.6318013315,
        0.04103472829,
        3.90345993566,
        4.32616395006,
        5.63002332525,
        4.11329374307,
        3.07406244371,
        4.06354766916,
        4.55001787181,
        4.73453786942,
        2.90208204814,
        3.91734791042,
        2.24814867939,
        1.49254264738,
        0.25549086562,
        3.81823920275,
        2.05013884781,
        2.74501129194,
        1.50789835321,
        2.52768436921,
        3.33597408639,
        0.13234013389,
        1.60488882515,
        2.58833940963,
        5.91966225582,
        3.37602923994,
        3.19545181564,
        1.38929393306,
        3.03945359046,
        1.6794176329,
        6.12365686072,
        6.07077392017,
        5.32795961259,
        5.66066380057,
        0.46818772275,
        1.26884124633,
        2.67341880565,
        2.15400406449,
        4.94905172419,
        0.57829722827,
        1.86446865071,
        6.28021453291,
        2.59628252508,
        2.78871624346,
        2.02159497354,
        1.03042062457,
        2.50465838575,
        3.11062462322,
        4.98403310748,
        1.52224482636,
        2.14859681048,
        2.43995589654,
        3.36200869452,
        2.79871492543,
        5.22917796645,
        3.36057980101,
        1.59892728325,
        1.99415297086,
        2.04372303495,
        0.82946401625,
        6.13391971195,
        2.51335072478,
        5.82136110186,
        6.18131622353,
        3.41843479847,
        3.37025921442,
        1.14231592076,
        5.72890255976,
        2.72910423965,
        0.71647260532,
        0.02762995097,
        1.74569938692,
        4.96905771055,
        2.37695905463,
        1.15017207061,
        3.68257556907,
        4.46496396099,
        5.28688437379,
        3.55522181358,
        5.04728306015,
        0.90600055739,
        0.84203295561,
        0.17276009703,
        2.39240670265,
        2.09091136066,
        1.64595427075,
        3.10700890764,
        5.34776911444,
        3.852540184,
        3.62192812061,
        2.98811767557,
        5.53324653057,
        6.21378141122,
        2.96957793002,
        3.32164076256,
        3.32164076256,
        5.37619224276,
        5.72341064428,
        2.98134401594,
        1.83931362023,
        0.96015330455,
        0.48574200131,
        4.34276081528,
        3.01361282532,
        0.6736015365,
        1.28978443782,
        2.12726478428,
        0.05914920282,
        2.52639842443,
        5.50511551601,
        2.2787385973,
        3.64035751539,
        3.14322057429,
        3.43763509907,
        4.59358372111,
        2.0947764402,
        4.5097858101,
        1.49807886709,
        1.37272384469,
        6.24300347417,
        2.20117675779,
        5.47453297293,
        1.27426244635,
        5.77014938471,
        1.74252937792,
        2.33577168517,
        4.02937359406,
        4.63883211615,
        5.8913820859,
        3.68532102062,
        3.8234188227,
        2.25171827957,
        3.8292035583,
        2.27177304436,
        0.90865804529,
        3.35095586398,
        6.13425127848,
        3.33641634482,
        4.46551378693,
        2.5936823021,
        1.88536238484,
        4.43552013111,
        4.99759781142,
        2.89184213238,
        1.74865938292,
        4.97332239252,
        2.1904666932,
        3.56282013143,
        4.64695151983,
        1.18009463616,
        1.73454490947,
        2.83323142368,
        1.51692947764,
        0.96856014126,
        4.65212942292,
        3.13333997041,
        3.23250354837,
        5.97883679965,
        6.24416585602,
        1.85427016032,
        3.32855151003,
        1.56107465656,
        4.51079844988,
        4.89205060352,
        2.28404354413,
        3.12796311727,
        4.22108011413,
        5.91198768163,
        3.43802549251,
        4.61137219155,
        5.15190704681,
        4.33653627215,
        5.63756377401,
        3.19108655615,
        2.2858813752,
        5.39859475117,
        4.14879961487,
        4.3717435521,
        5.87505951681,
        4.83213149276,
        5.52532133338,
        2.89315844222,
        5.44090853481,
        3.26822857927,
        6.08377383987,
        6.08377383987,
        4.901649118,
        5.34840991118,
        0.50062273312,
        4.40263473154,
        4.84941446555,
        2.87462833456,
    ],
    [
        213.5429129215,
        0.2438174835,
        206.42936592071,
        220.6564599223,
        426.8420083595,
        7.3573644843,
        433.9555553603,
        419.72846135871,
        640.1411037975,
        227.77000692311,
        213.0552779545,
        199.3158189199,
        14.47091148511,
        110.45013870291,
        647.25465079831,
        216.72430665921,
        210.36151918381,
        316.6356871401,
        853.4401992355,
        209.6107596584,
        441.06910236111,
        217.4750661846,
        117.5636857037,
        103.3365917021,
        633.0275567967,
        205.9417309537,
        323.74923414091,
        412.6149143579,
        6.86972951729,
        234.8835539239,
        95.7354097343,
        198.82818395289,
        202.4972126576,
        426.3543733925,
        220.16882495529,
        224.5886131854,
        309.5221401393,
        109.9625037359,
        330.8627811417,
        11.2895177474,
        860.55374623631,
        309.0345051723,
        102.84895673509,
        21.5844584859,
        223.83785366,
        430.02340209721,
        1066.7392946735,
        3.42521122121,
        422.9098550964,
        88.6218627335,
        423.66061462181,
        4.1759707466,
        654.3681977991,
        419.2408263917,
        124.6772327045,
        96.2230447013,
        522.3336006103,
        192.2022719191,
        522.8212355773,
        412.12727939089,
        149.8070146181,
        625.9140097959,
        203.247972183,
        537.0483295789,
        302.40859313851,
        529.9347825781,
        515.2200536095,
        301.9209581715,
        277.2788112249,
        10.538758222,
        437.8877086234,
        625.42637482889,
        13.9832765181,
        430.7741616226,
        448.1826493619,
        231.70216018621,
        742.74624304909,
        415.7963080956,
        846.3266522347,
        838.72547026689,
        743.23387801611,
        728.5191490475,
        3.6883357796,
        316.14805217309,
        18.40306474821,
        736.1203310153,
        735.6326960483,
        529.44714761109,
        831.6119232661,
        544.1618765797,
        515.70768857651,
        195.38366565681,
        408.68276109481,
        1073.85284167431,
        1059.6257476727,
        941.8182444855,
        363.1061100561,
        433.46792039329,
        191.7146369521,
        618.3128278281,
        1059.1381127057,
        636.2089505344,
        223.1041404771,
        113.6315324406,
        56.3785338191,
        86.07111631471,
        437.136949098,
        270.1652642241,
        643.32249753521,
        337.9763281425,
        203.9816853659,
        131.79077970531,
        750.3474250169,
        76.50988875911,
        1280.0383901115,
        1155.1173399235,
        81.50831573269,
        483.4643596621,
        867.6672932371,
        288.32451148881,
        227.2823719561,
        160.852714882,
        1044.9110187041,
        70.6056278207,
        22.3352180113,
        1148.00379292269,
        1052.02456570489,
        416.547067621,
        497.69145366371,
        629.0954035336,
        107.2687449652,
        490.5779066629,
        839.2131052339,
        956.53297345411,
        89.10949770051,
        106.5179854398,
        845.8390172677,
        1258.21011414209,
        241.9971009247,
        639.6534688305,
        344.9468627914,
        266.233110961,
        201.01273994931,
        226.07308589371,
        142.6934676173,
        632.5399218297,
        352.06040979221,
        52.446380556,
        138.76131435421,
        934.70469748469,
        359.173956793,
        405.5013673571,
        341.01470952831,
        284.39235822571,
        6290.4332144757,
        181.2995840071,
        651.1868040614,
        6276.2061204741,
        127.22797912329,
        948.9317914863,
        445.00125562421,
        424.39432780471,
        10220.6429106953,
        1375.52998236229,
        295.2950461377,
        10206.4158166937,
        209.12312469139,
        350.5759370839,
        12.77399045571,
        703.8770021009,
        636.95971005981,
        1471.50920958009,
        245.7862418359,
        191.45151239371,
        323.2615991739,
        729.0067840145,
        618.8004627951,
        75.0254160508,
        294.80741117069,
        209.87388421679,
        235.6343134493,
        1464.3956625793,
        508.10650660869,
        661.4817447999,
        1361.3028883607,
        565.35950523021,
        949.4194264533,
        1368.4164353615,
        5849.1202946311,
        10.8018827804,
        1052.51220067191,
        5863.3473886327,
        404.7506078317,
        9779.32999085069,
        1574.6019837987,
        1162.23088692429,
        9793.5570848523,
        208.8770464755,
        1251.0965671413,
        218.2087793675,
        313.4542934024,
        319.8170808778,
        429.28968891431,
        6283.3196674749,
        621.98185653281,
        1265.32366114289,
        10213.5293636945,
        121.4958389668,
        114.38229196601,
        194.89603068979,
        202.760337216,
        117.0760507367,
        842.3944989716,
        78.9575693139,
        196.1344251822,
        956.04533848709,
        230.9514006608,
        63.49208081989,
        1691.9218520189,
        536.5606946119,
        436.4032359151,
        9.3174100721,
        1787.9010792367,
        644.0732570606,
        757.4609720177,
        9.8050450391,
        576.4052054941,
        251.6759485593,
        289.8089841971,
        175.40987728371,
        824.4983762653,
        1478.62275658089,
        710.99054910171,
        202.0095776906,
        398.38782035631,
        98.6561710411,
        1589.3167127673,
        1780.78753223589,
        134.3415261241,
        10.051123255,
        501.62360692681,
        333.9011625275,
        5856.23384163189,
        479.532206399,
        63.9797157869,
        106.0303504728,
        508.5941415757,
        216.2366716922,
        1684.80830501809,
        120.1144321225,
        9786.44353785149,
        422.42222012939,
        1567.48843679789,
        348.1282565291,
        416.059432654,
        1890.9938534553,
        2.9375762542,
        852.9525642685,
        1677.6947580173,
        156.9205616189,
        167.07249000551,
        196.2774375341,
        114.6429243969,
        326.9306278786,
        151.2914873264,
        1272.4372081437,
        749.8597900499,
        212.579705075,
        214.506120768,
        320.5678404032,
        611.1992808273,
        849.5080459724,
        230.8083883089,
        21.0968235189,
        6069.53293706989,
        9999.7426332895,
        213.4947288117,
        213.5910970313,
        431.5078748055,
        526.7533888404,
        1581.7155307995,
        395.8225197225,
        38.3768531213,
        381.5954257209,
        215.99059347631,
        260.01333583751,
        129.6756596781,
        299.37021175271,
        1287.15193711231,
        211.09523236671,
        414.31183538731,
        276.79117625789,
        572.473052231,
        409.4335206202,
        59.55992755679,
        1493.3374855495,
        343.4623900831,
        696.7634551001,
        1588.82907780029,
        6070.0205720369,
        216.9874312176,
        45.3328335552,
        99.6675629974,
        422.1761419135,
        551.27542358051,
        69.3963417583,
        1169.83206889211,
        188.270118656,
        98.91680347199,
        1795.0146262375,
        10000.23026825651,
        100.1551979644,
        190.9638774267,
        143.9027536797,
        189.1638905333,
        265.745475994,
        238.815707187,
        917.1760975389,
        533.1161763158,
        275.7943385166,
        93.1846633155,
        221.61966776881,
        646.76701583129,
        432.471082652,
        205.46615807421,
        554.31380496631,
        415.3086731286,
        547.2002579655,
        5642.93474619389,
        174.1860370063,
        927.5911504839,
        91.8032564712,
        196.8681383651,
        230.2176874779,
        832.0995582331,
        2097.1794018925,
        1140.8902459219,
        99.40443843901,
        106.7811099982,
        2008.3137216755,
        219.6932520758,
        207.3925737672,
        71.09326278771,
        417.2807808039,
        374.15181032,
        333.4135275605,
        650.436044536,
        120.74507944141,
        2413.5712715491,
        9573.14444241349,
        135.5799206165,
        425.878800513,
        347.6406215621,
        220.7046440321,
        206.3811818109,
        116.18227885939,
        2104.2929488933,
        556.7614855211,
        856.62159297321,
        345.08987514331,
        237.9219353097,
        2207.38572311189,
        427.805216206,
        145.874861355,
        570.98857952271,
        423.17297965479,
        421.4253823881,
        305.85311143459,
        1169.34443392509,
        942.3058794525,
        455.29619636271,
        405.0137323901,
        186.71620997851,
        305.5899868762,
        899.0168502742,
        85.1773444374,
        2001.2001746747,
        439.37218133171,
        1066.2516597065,
        131.6477673534,
        1457.2821155785,
        913.24394427581,
        563.87503252191,
        327.68138740401,
        1155.6049748905,
        388.70897272171,
        281.210964488,
        312.4429014461,
        224.1009782184,
        561.4273519671,
        167.9662618828,
        312.9666584354,
        732.45130231059,
        12.28635548869,
        2627.3580019541,
        206.47755003051,
        82.13896305161,
        220.60827581251,
        291.5059052265,
        225.3223263683,
        201.7634994747,
        685.7177548362,
        3597.8742519263,
        240.36961586451,
        295.4380584896,
        1045.3986536711,
        440.5814673941,
        137.2768416459,
        519.15220687259,
        980.91199584231,
        5429.63565075589,
        1371.59782909919,
        1898.10740045609,
        721.40560204669,
        721.8932370137,
        1905.2209474569,
        127.71561409031,
        1883.8803064545,
        699.94484883781,
        850.25880549781,
        1382.64352936309,
        28.6980054867,
        312.70353387701,
        9359.84534697549,
        1994.08662767389,
        1048.8431719672,
        148.32254190981,
        212.79215339611,
        214.2936724469,
        739.5648493114,
        1243.98302014049,
        259.1195639602,
        233.1866328945,
        193.8991929485,
        153.73916788121,
        283.9047232587,
        525.7419968841,
        258.6319289932,
        4216.4308972379,
        2420.68481854989,
        17.91542978119,
        841.9068640046,
        121.0082039998,
        629.846163059,
        6062.4193900691,
        128.6093859676,
        3178.38960805111,
        67.91186905,
        731.70054278519,
        97.11681657861,
        2523.7775927685,
        81.9959506997,
        1056.444353935,
        355.99256305531,
        526.2657538734,
        777.17412795991,
        835.5440765292,
        5635.8211991931,
        74.53778108379,
        2317.5920443313,
        215.2398339509,
        1272.9248431107,
        6062.9070250361,
        2406.4577245483,
        906.130397275,
        3914.26612158291,
        211.8459918921,
        525.514994348,
        602.00806815971,
        306.34074640161,
        2193.1586291103,
        2729.96314120569,
        945.7503977486,
        32.48714639791,
        472.4186593982,
        2324.70559133209,
        4113.3381230193,
        1176.9456158929,
        252.8997888367,
        245.03548231051,
        182.05034353251,
        635.72131556739,
        220.1351950605,
        1773.6739852351,
        206.9506307825,
        1582.2031657665,
        2964.60287764609,
        738.814089786,
        31.9995114309,
        1802.6158082053,
        3494.7814777077,
        171.8984151459,
        1037.7974717033,
        2516.66404576769,
        1809.72935520611,
        2641.5850959557,
        2111.40649589409,
        9566.03089541269,
        519.63984183961,
        255.1874106971,
        60.52313540329,
        305.10235190919,
        459.0853372739,
        3259.6541063003,
        3260.1417412673,
        84.6897094704,
        397.9001853893,
        731.92754532131,
        5856.7214765989,
        471.9310244312,
        746.15463932291,
    ],
];

pub(crate) const X3: [[f64; 250]; 3] = [
    [
        0.00076886822,
        0.00075865107,
        0.00028377246,
        0.00011451297,
        0.00009043324,
        0.0000741953,
        0.00008292033,
        0.00004421142,
        0.00003519324,
        0.00003064445,
        0.00002363042,
        0.00001027777,
        0.00000789743,
        0.00000810744,
        0.00000766386,
        0.00000673097,
        0.00000506614,
        0.00000384956,
        0.0000046354,
        0.00000411246,
        0.00000324142,
        0.00000285917,
        0.00000238406,
        0.00000192441,
        0.000001896,
        0.0000018961,
        0.00000213874,
        0.00000153605,
        0.00000154083,
        0.00000130169,
        0.00000121811,
        0.00000112652,
        0.00000109203,
        0.00000111589,
        0.00000097336,
        0.00000114728,
        0.00000085497,
        0.00000103793,
        0.00000085243,
        0.00000081972,
        0.00000093735,
        0.00000078232,
        0.00000073732,
        0.00000068659,
        0.00000087657,
        0.0000005779,
        0.00000050888,
        0.00000048029,
        0.00000057606,
        0.0000005696,
        0.00000045308,
        0.00000048067,
        0.00000036732,
        0.00000038865,
        0.00000043853,
        0.0000003668,
        0.00000035412,
        0.00000030232,
        0.00000034292,
        0.00000025919,
        0.00000026527,
        0.00000023623,
        0.00000017831,
        0.00000017289,
        0.00000016881,
        0.00000013511,
        0.00000012893,
        0.00000011197,
        0.00000013451,
        0.00000010292,
        0.00000011481,
        0.00000011394,
        0.0000001138,
        0.00000009884,
        0.00000009268,
        0.00000010374,
        0.00000011913,
        0.00000008626,
        0.00000008671,
        0.00000008821,
        0.00000008112,
        0.00000009768,
        0.00000008329,
        0.00000007645,
        0.00000008659,
        0.00000007205,
        0.00000007157,
        0.00000007036,
        0.00000007083,
        0.00000006556,
        0.00000005903,
        0.00000006615,
        0.00000006469,
        0.00000005426,
        0.00000005648,
        0.00000007105,
        0.00000005052,
        0.00000006189,
        0.00000005821,
        0.00000005043,
        0.00000004744,
        0.00000005705,
        0.00000005226,
        0.00000005511,
        0.0000000452,
        0.00000004583,
        0.00000004789,
        0.00000004026,
        0.00000003728,
        0.00000003578,
        0.0000000389,
        0.00000004291,
        0.00000003758,
        0.00000003547,
        0.00000003641,
        0.00000004196,
        0.00000003709,
        0.00000004193,
        0.00000003571,
        0.00000003647,
        0.00000002978,
        0.00000002876,
        0.00000002643,
        0.00000002725,
        0.00000003246,
        0.00000002721,
        0.00000002917,
        0.0000000256,
        0.0000000238,
        0.00000002667,
        0.00000002238,
        0.00000002305,
        0.00000002316,
        0.00000002282,
        0.00000001988,
        0.00000002365,
        0.00000002485,
        0.0000000267,
        0.0000000267,
        0.00000001974,
        0.0000000244,
        0.00000002032,
        0.00000002151,
        0.00000001875,
        0.0000000244,
        0.00000002034,
        0.0000000231,
        0.00000001764,
        0.00000002032,
        0.00000001993,
        0.00000001921,
        0.0000000162,
        0.00000001903,
        0.00000001568,
        0.00000001835,
        0.00000001523,
        0.00000002086,
        0.00000001666,
        0.00000001479,
        0.00000001479,
        0.00000001439,
        0.00000001464,
        0.00000001464,
        0.00000001676,
        0.00000001945,
        0.00000001436,
        0.00000001481,
        0.00000001709,
        0.00000001305,
        0.00000001548,
        0.00000001465,
        0.00000001494,
        0.00000001243,
        0.00000001234,
        0.00000001359,
        0.00000001217,
        0.00000001352,
        0.00000001391,
        0.00000001426,
        0.00000001501,
        0.00000001326,
        0.00000001171,
        0.00000001462,
        0.00000001164,
        0.00000001337,
        0.00000001509,
        0.00000001213,
        0.00000001241,
        0.00000001288,
        0.00000001337,
        0.00000001327,
        0.00000001118,
        0.00000001043,
        0.00000001069,
        0.00000001088,
        0.0000000127,
        0.00000001032,
        0.00000001009,
        0.000000011,
        0.00000001071,
        0.0000000112,
        0.00000001271,
        0.00000001009,
        0.00000001145,
        0.00000001072,
        0.00000001044,
        0.00000001195,
        0.00000001043,
        0.00000000889,
        0.00000000881,
        0.0000000104,
        0.00000001118,
        0.00000001047,
        0.00000001087,
        0.00000001087,
        0.00000000974,
        0.00000000869,
        0.00000001085,
        0.00000000841,
        0.00000000875,
        0.00000001063,
        0.00000000853,
        0.00000001056,
        0.00000000888,
        0.00000001045,
        0.00000000793,
        0.00000000817,
        0.0000000078,
        0.00000000798,
        0.00000000798,
        0.00000000834,
        0.00000000766,
        0.00000000875,
        0.00000000829,
        0.00000000749,
        0.00000000942,
        0.0000000073,
        0.00000000734,
        0.00000000727,
        0.00000000727,
        0.00000000986,
        0.00000000914,
        0.00000000774,
        0.00000000774,
        0.00000000806,
        0.00000000828,
        0.000000007,
        0.000000007,
        0.00000000687,
        0.00000000801,
    ],
    [
        2.95726755259,
        1.87343394188,
        3.86557149479,
        0.52950959639,
        0.90644151923,
        1.78113005821,
        3.07262247518,
        2.2115751859,
        3.11036333131,
        5.96466087519,
        3.04029814628,
        0.00466674598,
        0.89493947314,
        1.272065605,
        3.60274923273,
        3.76715088659,
        3.74427289102,
        3.04387305073,
        5.12353455374,
        3.75278799309,
        1.64931862119,
        1.98200727487,
        3.3228048993,
        0.61468306333,
        5.4089280869,
        2.26186337972,
        5.57078419443,
        2.27746123288,
        2.88123748841,
        1.38079516386,
        5.19039452998,
        4.50657670209,
        3.33018599514,
        5.41300222633,
        0.97161200873,
        1.16141976921,
        1.88744465241,
        2.96083959404,
        0.03105121395,
        3.2916783828,
        3.09844453957,
        1.55716671048,
        1.0519457285,
        3.09861369147,
        0.363851646,
        1.70437193383,
        3.0941349818,
        3.83068266955,
        3.83723480361,
        4.32645734701,
        3.25423824441,
        6.08559382039,
        0.80231221541,
        3.77730274172,
        0.20832317981,
        5.09355802388,
        5.54558308698,
        3.87085631365,
        6.06837760251,
        5.31578501663,
        3.52104928312,
        4.82567426056,
        5.24620312943,
        0.98528821511,
        5.38329398416,
        5.72506783696,
        1.12369483024,
        2.55648325655,
        5.19262853301,
        0.86377999055,
        5.27139699788,
        5.93878680228,
        4.58881936707,
        0.96968966802,
        1.2859797375,
        0.94317330721,
        0.32742179509,
        3.66458258994,
        4.32466808269,
        4.57655314696,
        0.50007270362,
        5.81884437871,
        5.47343196835,
        2.3958591689,
        5.79445660573,
        4.39953882951,
        5.63667649779,
        2.63239333334,
        4.84184174066,
        2.67135559119,
        0.87375775835,
        3.63831273611,
        2.05411382166,
        1.51765079988,
        2.55416366478,
        3.01903914273,
        5.18252086135,
        4.68404979693,
        3.50616955116,
        3.76766161323,
        1.46479508366,
        4.87015493433,
        5.29097572967,
        3.59570699682,
        2.36588968635,
        0.00787099904,
        4.15071050239,
        0.04020873612,
        0.24380479533,
        2.51284387407,
        0.29060160988,
        5.60521207533,
        6.26818424862,
        0.40358942005,
        3.81013693999,
        3.9769046427,
        4.96509425454,
        5.05036487395,
        4.46056188614,
        5.59898306379,
        3.43782247022,
        5.29356968989,
        5.23820067295,
        5.89016060143,
        2.57150474119,
        4.1456490453,
        2.38362703069,
        4.95049691984,
        6.24323945584,
        0.09012233039,
        2.2634162348,
        2.02658716121,
        2.01244422105,
        5.91510901442,
        0.28661492755,
        5.33155242941,
        4.32833388537,
        0.63080955086,
        1.11722396213,
        3.29767644397,
        2.29714766763,
        2.08292611476,
        4.69823758687,
        1.50694339603,
        1.3750487525,
        5.64959382524,
        4.84647061416,
        1.86111058424,
        3.74188450688,
        5.41370582068,
        4.3005180539,
        5.90686570991,
        3.15206555826,
        3.03962897704,
        0.46838409843,
        4.48022908171,
        1.63830662169,
        1.70124586487,
        2.77539985198,
        5.26668359322,
        3.22610898757,
        4.18005026025,
        3.86203316672,
        5.34747324592,
        3.4854947858,
        6.23499570787,
        4.49861202018,
        3.35714658968,
        4.10818846677,
        2.81939196041,
        2.76905277973,
        3.94286053931,
        5.53319819376,
        2.48191739575,
        1.84182551916,
        5.17100163408,
        0.35400553171,
        5.36503473377,
        0.53946388105,
        2.10731420473,
        6.28017468529,
        1.32902114795,
        1.51066849209,
        4.63302622392,
        3.11900326329,
        4.93045095005,
        4.3150209554,
        4.40235607417,
        2.87027499482,
        3.78093252376,
        4.98650305262,
        3.03705756384,
        3.9489850422,
        3.08968284008,
        2.53876092916,
        4.16462693224,
        3.44230149136,
        4.86702032393,
        4.02565365863,
        2.7465486562,
        2.93643432204,
        1.45604360323,
        2.57702574321,
        1.75945733161,
        0.274814021,
        5.08425663596,
        2.65932688138,
        3.11389723945,
        0.42212522834,
        5.64403825823,
        3.9252402562,
        4.70881220655,
        2.54344637059,
        3.60856902528,
        3.60856902527,
        3.71347864898,
        1.74331052904,
        2.89917981696,
        4.92696318078,
        2.65002330643,
        4.38870058058,
        5.24982533241,
        1.76497744402,
        5.03418369313,
        4.85721663734,
        4.83325249319,
        5.39128218727,
        5.10185484903,
        1.50816477183,
        4.64975742542,
        3.90981062264,
        5.01481205403,
        4.28307795111,
        2.87306260461,
        3.65030777836,
        1.83557306265,
        5.63130452905,
        5.54620111084,
        2.3868528577,
        2.50277330889,
        2.62709892303,
        3.38925031218,
        0.28234439952,
        3.42393705311,
        4.4496213801,
        1.60210145147,
        0.41140636858,
        4.19439623716,
        4.43661173924,
        4.16672540134,
    ],
    [
        206.42936592071,
        220.6564599223,
        0.2438174835,
        426.8420083595,
        433.9555553603,
        227.77000692311,
        7.3573644843,
        419.72846135871,
        199.3158189199,
        640.1411037975,
        14.47091148511,
        647.25465079831,
        441.06910236111,
        216.72430665921,
        210.36151918381,
        213.0552779545,
        213.5429129215,
        117.5636857037,
        853.4401992355,
        110.45013870291,
        234.8835539239,
        412.6149143579,
        103.3365917021,
        316.6356871401,
        6.86972951729,
        633.0275567967,
        205.9417309537,
        323.74923414091,
        21.5844584859,
        209.6107596584,
        198.82818395289,
        220.16882495529,
        217.4750661846,
        860.55374623631,
        95.7354097343,
        223.83785366,
        330.8627811417,
        309.5221401393,
        654.3681977991,
        192.2022719191,
        426.3543733925,
        124.6772327045,
        88.6218627335,
        109.9625037359,
        430.02340209721,
        224.5886131854,
        202.4972126576,
        302.40859313851,
        203.247972183,
        1066.7392946735,
        96.2230447013,
        309.0345051723,
        448.1826493619,
        625.9140097959,
        422.9098550964,
        13.9832765181,
        522.8212355773,
        412.12727939089,
        301.9209581715,
        4.1759707466,
        423.66061462181,
        515.2200536095,
        11.2895177474,
        537.0483295789,
        195.38366565681,
        515.70768857651,
        437.8877086234,
        742.74624304909,
        522.3336006103,
        337.9763281425,
        191.7146369521,
        625.42637482889,
        1073.85284167431,
        131.79077970531,
        81.50831573269,
        544.1618765797,
        437.136949098,
        728.5191490475,
        419.2408263917,
        831.6119232661,
        149.8070146181,
        618.3128278281,
        867.6672932371,
        846.3266522347,
        643.32249753521,
        227.2823719561,
        636.2089505344,
        231.70216018621,
        89.10949770051,
        743.23387801611,
        270.1652642241,
        433.46792039329,
        408.68276109481,
        241.9971009247,
        529.9347825781,
        18.40306474821,
        416.547067621,
        736.1203310153,
        1280.0383901115,
        277.2788112249,
        56.3785338191,
        430.7741616226,
        415.7963080956,
        529.44714761109,
        1059.1381127057,
        294.80741117069,
        295.2950461377,
        483.4643596621,
        185.08872491831,
        405.5013673571,
        750.3474250169,
        941.8182444855,
        661.4817447999,
        70.6056278207,
        839.2131052339,
        618.8004627951,
        508.10650660869,
        838.72547026689,
        1148.00379292269,
        934.70469748469,
        1044.9110187041,
        398.38782035631,
        497.69145366371,
        363.1061100561,
        639.6534688305,
        1464.3956625793,
        113.6315324406,
        729.0067840145,
        86.07111631471,
        10.8018827804,
        10.538758222,
        956.53297345411,
        3.42521122121,
        611.1992808273,
        651.1868040614,
        2111.40649589409,
        316.14805217309,
        196.1344251822,
        230.9514006608,
        1059.6257476727,
        106.0303504728,
        1375.52998236229,
        824.4983762653,
        344.9468627914,
        323.2615991739,
        927.5911504839,
        99.6675629974,
        191.45151239371,
        636.95971005981,
        1258.21011414209,
        2641.0974609887,
        1596.43025976811,
        2634.47154895491,
        235.6343134493,
        536.5606946119,
        956.04533848709,
        445.00125562421,
        1876.76675945369,
        6290.4332144757,
        5849.1202946311,
        2538.4923217371,
        5863.3473886327,
        6276.2061204741,
        1251.0965671413,
        845.8390172677,
        508.5941415757,
        284.39235822571,
        2318.0796792983,
        107.2687449652,
        2943.74987161071,
        2531.3787747363,
        1780.78753223589,
        218.2087793675,
        208.8770464755,
        142.6934676173,
        1052.51220067191,
        209.87388421679,
        1243.98302014049,
        852.9525642685,
        1691.9218520189,
        2751.79141717511,
        67.91186905,
        160.852714882,
        117.0760507367,
        2627.3580019541,
        1574.6019837987,
        1354.6769763269,
        1140.8902459219,
        2950.8634186115,
        2421.1724535169,
        1567.48843679789,
        209.12312469139,
        156.9205616189,
        194.89603068979,
        1272.9248431107,
        2516.66404576769,
        1361.3028883607,
        52.446380556,
        1671.06884598351,
        1354.18934135989,
        1037.7974717033,
        721.40560204669,
        1670.5812110165,
        3157.04896704871,
        2435.3995475185,
        1560.3748897971,
        632.5399218297,
        2729.96314120569,
        359.173956793,
        1148.49142788971,
        1773.6739852351,
        1890.9938534553,
        3260.1417412673,
        2001.2001746747,
        2001.68780964171,
        1987.4607156401,
        621.98185653281,
        2214.98690507971,
        629.0954035336,
        2847.77064439291,
        2200.2721761111,
        288.32451148881,
        2332.3067732999,
        1155.1173399235,
        2.9375762542,
        341.01470952831,
        1802.12817323829,
        1382.64352936309,
        2015.42726867629,
        2015.9149036433,
        1802.6158082053,
        1471.50920958009,
        2523.7775927685,
        1162.23088692429,
        1809.72935520611,
        2008.3137216755,
        138.76131435421,
        749.8597900499,
        181.2995840071,
        245.7862418359,
        1795.0146262375,
        266.233110961,
        2840.1694624251,
        2840.6570973921,
        1912.8221294247,
        100.1551979644,
        9779.32999085069,
        10220.6429106953,
        102.84895673509,
        1457.2821155785,
    ],
];

pub(crate) const X4: [[f64; 110]; 3] = [
    [
        0.00007957923,
        0.00007883034,
        0.00001517028,
        0.00001235695,
        0.00001152216,
        0.00000879616,
        0.00000709628,
        0.00000602013,
        0.00000507367,
        0.00000386382,
        0.00000338827,
        0.00000186029,
        0.00000220262,
        0.0000017321,
        0.00000084974,
        0.0000008534,
        0.00000044264,
        0.00000045849,
        0.00000047835,
        0.00000041104,
        0.00000030735,
        0.00000022639,
        0.00000021067,
        0.0000002023,
        0.00000021389,
        0.00000016854,
        0.00000021739,
        0.00000017501,
        0.00000014506,
        0.00000017401,
        0.00000013517,
        0.00000011814,
        0.00000012071,
        0.00000011725,
        0.00000010174,
        0.00000011491,
        0.00000010611,
        0.00000012147,
        0.00000009067,
        0.00000008918,
        0.00000008311,
        0.00000007296,
        0.0000000789,
        0.00000006699,
        0.00000006339,
        0.00000006254,
        0.00000006126,
        0.00000006725,
        0.00000006784,
        0.00000006868,
        0.00000006111,
        0.00000004468,
        0.0000000416,
        0.00000003681,
        0.00000003615,
        0.00000003079,
        0.00000003614,
        0.00000002896,
        0.00000003,
        0.00000002685,
        0.00000002918,
        0.00000002617,
        0.00000002884,
        0.00000002281,
        0.00000002717,
        0.00000002556,
        0.00000001782,
        0.00000001782,
        0.00000001856,
        0.00000001713,
        0.00000001632,
        0.0000000198,
        0.00000001607,
        0.00000001801,
        0.00000001532,
        0.0000000151,
        0.00000001531,
        0.00000001394,
        0.00000001427,
        0.00000001649,
        0.00000001249,
        0.00000001353,
        0.00000001674,
        0.00000001646,
        0.00000001305,
        0.0000000116,
        0.00000001537,
        0.00000001096,
        0.00000001156,
        0.00000001062,
        0.00000001285,
        0.00000001079,
        0.00000001006,
        0.0000000129,
        0.00000001051,
        0.00000001027,
        0.00000001021,
        0.00000001137,
        0.00000000991,
        0.00000001038,
        0.00000000865,
        0.00000000859,
        0.00000000862,
        0.00000000776,
        0.00000000797,
        0.00000000824,
        0.00000000881,
        0.00000000686,
        0.00000000684,
        0.00000000859,
    ],
    [
        0.10292939767,
        4.66633773762,
        0.05577219527,
        5.39600292264,
        5.24396587079,
        5.34174983557,
        4.81919971142,
        1.23511363469,
        4.78792568609,
        1.30105603325,
        4.08599989607,
        5.42685623154,
        4.07756916511,
        4.46238384072,
        6.19195566472,
        2.82637979462,
        1.34743358639,
        3.59457316555,
        3.21421968827,
        3.75480601059,
        1.140735083,
        4.54040624066,
        4.9132435926,
        1.7435871759,
        0.96555928483,
        5.95101073162,
        3.56778546142,
        2.66582523466,
        2.8281534347,
        0.69153050158,
        4.9052763068,
        0.44837969058,
        5.31212364211,
        0.04357660859,
        2.85692484188,
        5.22879894174,
        5.64300353639,
        4.23365602535,
        2.69785298236,
        1.46910827681,
        4.67543017537,
        2.3493378429,
        2.51218274353,
        1.49841716625,
        5.3279030174,
        2.70033795328,
        1.64892191331,
        5.51198561168,
        5.789455518,
        2.22797475448,
        5.16124898313,
        1.72149500008,
        1.03429820392,
        0.94893010872,
        0.40952028826,
        5.63647951312,
        0.37301132942,
        1.28921720639,
        4.72788705186,
        5.00319133132,
        0.73261775434,
        2.98014804776,
        0.63120048927,
        0.6198534712,
        5.3592719482,
        4.65487521363,
        6.0815792905,
        1.94963952968,
        1.22219785032,
        1.39863052168,
        5.57529252306,
        0.12344871269,
        4.53783680441,
        2.7056744678,
        0.6004971713,
        1.01685015001,
        4.91027438516,
        2.02930508328,
        0.73295227059,
        5.83036907174,
        5.31804281913,
        5.64535868524,
        0.75228934735,
        0.97572157001,
        1.00406093433,
        6.07115885491,
        0.07816179599,
        1.15801707287,
        0.08524385094,
        1.72268908914,
        5.87120310708,
        6.04015764687,
        0.12126175121,
        6.26123764935,
        1.11902862643,
        2.13247533522,
        0.91271229263,
        4.47891183265,
        5.35089033439,
        6.06703363765,
        1.97882029045,
        1.14491409094,
        4.75102573016,
        6.05032387495,
        0.47611886612,
        2.96565494557,
        5.0281537282,
        0.20449337417,
        5.09702256485,
        5.20905469515,
    ],
    [
        220.6564599223,
        206.42936592071,
        227.77000692311,
        433.9555553603,
        213.5429129215,
        0.2438174835,
        199.3158189199,
        7.3573644843,
        426.8420083595,
        14.47091148511,
        419.72846135871,
        441.06910236111,
        640.1411037975,
        647.25465079831,
        234.8835539239,
        213.0552779545,
        117.5636857037,
        6.86972951729,
        853.4401992355,
        412.6149143579,
        21.5844584859,
        654.3681977991,
        103.3365917021,
        110.45013870291,
        205.9417309537,
        124.6772327045,
        860.55374623631,
        220.16882495529,
        88.6218627335,
        198.82818395289,
        309.5221401393,
        323.74923414091,
        448.1826493619,
        330.8627811417,
        95.7354097343,
        192.2022719191,
        302.40859313851,
        633.0275567967,
        13.9832765181,
        426.3543733925,
        430.02340209721,
        316.6356871401,
        1066.7392946735,
        109.9625037359,
        216.72430665921,
        210.36151918381,
        301.9209581715,
        625.9140097959,
        223.83785366,
        203.247972183,
        96.2230447013,
        309.0345051723,
        522.8212355773,
        423.66061462181,
        405.5013673571,
        412.12727939089,
        515.2200536095,
        515.70768857651,
        422.9098550964,
        209.6107596584,
        89.10949770051,
        217.4750661846,
        191.7146369521,
        316.14805217309,
        131.79077970531,
        337.9763281425,
        241.9971009247,
        185.08872491831,
        618.3128278281,
        625.42637482889,
        728.5191490475,
        831.6119232661,
        611.1992808273,
        227.2823719561,
        1052.51220067191,
        742.74624304909,
        529.44714761109,
        1361.3028883607,
        1251.0965671413,
        295.2950461377,
        743.23387801611,
        1678.1823929843,
        231.70216018621,
        195.38366565681,
        934.70469748469,
        81.50831573269,
        21.0968235189,
        832.0995582331,
        508.10650660869,
        294.80741117069,
        1464.3956625793,
        1368.9040703285,
        1361.79052332771,
        736.1203310153,
        941.8182444855,
        433.46792039329,
        522.3336006103,
        1891.4814884223,
        1994.5742626409,
        1148.00379292269,
        750.3474250169,
        416.547067621,
        437.136949098,
        102.84895673509,
        1375.52998236229,
        639.6534688305,
        1258.6977491091,
        234.3959189569,
        661.4817447999,
        537.0483295789,
    ],
];

pub(crate) const X5: [[f64; 40]; 3] = [
    [
        0.00000605503,
        0.00000576439,
        0.00000227348,
        0.00000133503,
        0.00000094765,
        0.00000039851,
        0.0000003419,
        0.00000024941,
        0.00000023155,
        0.00000016208,
        0.00000012333,
        0.00000010358,
        0.00000010534,
        0.00000008668,
        0.0000000884,
        0.00000004707,
        0.00000005904,
        0.00000003895,
        0.00000003976,
        0.00000003675,
        0.00000003472,
        0.00000004393,
        0.0000000329,
        0.00000002569,
        0.00000002467,
        0.00000002708,
        0.00000002138,
        0.00000002447,
        0.00000001979,
        0.00000002238,
        0.00000001727,
        0.00000001398,
        0.00000001536,
        0.00000001195,
        0.00000001,
        0.00000000984,
        0.00000000791,
        0.00000000979,
        0.00000000784,
        0.0000000091,
    ],
    [
        4.59646585232,
        0.06437124594,
        4.5908511699,
        3.58841633128,
        0.27215838233,
        5.86635990391,
        3.64452029703,
        5.41093732098,
        2.64207066157,
        2.39130620524,
        2.18222106376,
        4.50067908167,
        0.4142193147,
        3.51972888423,
        5.55216757332,
        4.57538541908,
        4.73107708292,
        2.30231207024,
        1.96984083585,
        0.47302446664,
        1.35605117518,
        2.75554415948,
        3.89078522206,
        5.9157137544,
        3.15983568463,
        1.73056604662,
        3.58678888073,
        0.90027079514,
        0.98519013325,
        5.57282036056,
        0.08010225619,
        1.62923220404,
        2.37774872925,
        5.50915521926,
        4.01529701865,
        3.95579224093,
        2.18561862902,
        5.20989352885,
        3.19070192516,
        2.05287501643,
    ],
    [
        220.6564599223,
        206.42936592071,
        227.77000692311,
        433.9555553603,
        199.3158189199,
        14.47091148511,
        441.06910236111,
        0.2438174835,
        647.25465079831,
        426.8420083595,
        640.1411037975,
        234.8835539239,
        419.72846135871,
        192.2022719191,
        213.5429129215,
        88.6218627335,
        7.3573644843,
        405.5013673571,
        6.86972951729,
        213.0552779545,
        853.4401992355,
        654.3681977991,
        124.6772327045,
        109.9625037359,
        515.70768857651,
        860.55374623631,
        448.1826493619,
        220.16882495529,
        302.40859313851,
        198.82818395289,
        301.9209581715,
        309.5221401393,
        205.9417309537,
        117.5636857037,
        223.83785366,
        203.247972183,
        330.8627811417,
        95.7354097343,
        522.8212355773,
        96.2230447013,
    ],
];

pub(crate) const Y0: [[f64; 2047]; 3] = [
    [
        9.52312533591,
        0.79501390398,
        0.26427074351,
        0.06836881382,
        0.06628914946,
        0.02340967916,
        0.01250581159,
        0.01141539711,
        0.01098217124,
        0.00773784455,
        0.00708587042,
        0.0043422703,
        0.0037311088,
        0.00413446294,
        0.00169743473,
        0.00122184772,
        0.00141571884,
        0.00097840616,
        0.00080586098,
        0.00083840998,
        0.0007249912,
        0.00070188882,
        0.00068920772,
        0.00065633219,
        0.00058340081,
        0.00054036331,
        0.00045670301,
        0.00039957906,
        0.00044623718,
        0.00025182378,
        0.00024597547,
        0.00024755958,
        0.00025518626,
        0.00030420785,
        0.00022261024,
        0.00023384603,
        0.0001992186,
        0.0002336808,
        0.00024816783,
        0.0001505773,
        0.00013291291,
        0.00012028365,
        0.00012408238,
        0.0001203726,
        0.00007880259,
        0.00007428823,
        0.00006985779,
        0.00009059376,
        0.0000662618,
        0.00008285289,
        0.000079086,
        0.00006284835,
        0.00006078527,
        0.00005628724,
        0.00005274108,
        0.00005584926,
        0.00004423799,
        0.00004849319,
        0.00004179381,
        0.00005772348,
        0.00005198014,
        0.00005154525,
        0.00003792407,
        0.00004380719,
        0.00004838174,
        0.00003765792,
        0.00003749721,
        0.00003116757,
        0.00003115849,
        0.00003119049,
        0.00003235633,
        0.00004077069,
        0.00003290391,
        0.00002828736,
        0.00003365297,
        0.00002888976,
        0.00002748221,
        0.00002742545,
        0.00002636395,
        0.00003170535,
        0.0000253006,
        0.00002985976,
        0.00002617358,
        0.00002504577,
        0.00002459199,
        0.00002429561,
        0.00003133467,
        0.00002289072,
        0.00002651422,
        0.00002791618,
        0.00002086473,
        0.00002337517,
        0.00001735774,
        0.0000161776,
        0.0000163542,
        0.00001637578,
        0.00001633497,
        0.00001703439,
        0.00001499174,
        0.00001462063,
        0.0000197585,
        0.00001422179,
        0.00001539334,
        0.00001400317,
        0.00001337694,
        0.00001427589,
        0.00001149795,
        0.0000111216,
        0.00001015231,
        0.00001090238,
        0.0000109146,
        0.0000115232,
        0.00000874317,
        0.00001180011,
        0.00001058128,
        0.00000850822,
        0.00000869178,
        0.00001119594,
        0.00000868384,
        0.00000830815,
        0.00000825441,
        0.00000881196,
        0.00000866345,
        0.00000789515,
        0.00001091862,
        0.00001008329,
        0.00000919088,
        0.00000820108,
        0.00000716162,
        0.00000860928,
        0.00000710939,
        0.00000701898,
        0.0000091863,
        0.00000711475,
        0.00000797153,
        0.00000758732,
        0.00000642018,
        0.00000769629,
        0.00000811029,
        0.00000692909,
        0.00000798757,
        0.00000834309,
        0.00000655277,
        0.00000762632,
        0.00000576036,
        0.00000615654,
        0.00000578589,
        0.00000626782,
        0.00000589499,
        0.00000700182,
        0.00000697691,
        0.00000613843,
        0.00000581263,
        0.00000666749,
        0.00000516903,
        0.00000499031,
        0.00000502357,
        0.00000531983,
        0.00000643415,
        0.00000518385,
        0.00000550972,
        0.00000469313,
        0.00000456002,
        0.00000592362,
        0.00000465459,
        0.00000444956,
        0.00000502683,
        0.00000522764,
        0.00000422458,
        0.00000437134,
        0.00000414039,
        0.00000398994,
        0.00000398994,
        0.00000373088,
        0.00000469097,
        0.00000361258,
        0.0000034592,
        0.00000350777,
        0.00000335274,
        0.00000335274,
        0.00000367346,
        0.00000369973,
        0.0000039923,
        0.00000318144,
        0.00000315586,
        0.00000337834,
        0.00000313433,
        0.0000033004,
        0.00000383783,
        0.00000350135,
        0.00000401239,
        0.00000404631,
        0.00000404539,
        0.00000304876,
        0.00000289344,
        0.0000027025,
        0.00000271661,
        0.00000283573,
        0.00000294112,
        0.00000266932,
        0.00000269475,
        0.00000348053,
        0.00000296599,
        0.00000252084,
        0.00000252084,
        0.00000250282,
        0.00000294321,
        0.00000270973,
        0.0000026382,
        0.00000238275,
        0.00000305244,
        0.00000241411,
        0.0000031498,
        0.00000223277,
        0.00000292846,
        0.00000304942,
        0.00000237167,
        0.00000240608,
        0.00000263455,
        0.00000211236,
        0.00000205878,
        0.00000282395,
        0.00000203077,
        0.00000267955,
        0.00000238411,
        0.00000230884,
        0.00000203254,
        0.00000216423,
        0.00000194279,
        0.00000216822,
        0.00000191411,
        0.00000212655,
        0.00000214969,
        0.00000236822,
        0.00000229348,
        0.00000174163,
        0.00000202398,
        0.00000179962,
        0.0000016961,
        0.00000174157,
        0.00000165778,
        0.00000178798,
        0.00000180904,
        0.00000182548,
        0.00000179529,
        0.00000187071,
        0.00000180856,
        0.00000196496,
        0.00000151676,
        0.00000151676,
        0.0000015143,
        0.00000193773,
        0.00000166996,
        0.00000189342,
        0.00000180605,
        0.0000017272,
        0.00000149398,
        0.00000146617,
        0.00000193842,
        0.00000178668,
        0.00000137031,
        0.00000185345,
        0.00000158449,
        0.00000167315,
        0.0000015589,
        0.00000159567,
        0.00000138554,
        0.00000164796,
        0.00000167034,
        0.00000128473,
        0.0000014227,
        0.00000177375,
        0.00000125618,
        0.00000131798,
        0.00000130711,
        0.00000122905,
        0.00000165088,
        0.00000133438,
        0.00000120114,
        0.00000161862,
        0.00000116787,
        0.0000011821,
        0.00000133448,
        0.00000111758,
        0.00000152292,
        0.0000012884,
        0.00000110215,
        0.00000107434,
        0.00000115948,
        0.00000109063,
        0.00000109273,
        0.00000107429,
        0.0000012616,
        0.00000110176,
        0.00000123129,
        0.00000134189,
        0.00000106815,
        0.00000105829,
        0.00000115432,
        0.00000118293,
        0.00000104354,
        0.00000095114,
        0.00000099528,
        0.00000097935,
        0.00000106628,
        0.00000094853,
        0.00000096075,
        0.00000104203,
        0.00000107375,
        0.00000093096,
        0.00000088042,
        0.00000093076,
        0.00000089875,
        0.00000086729,
        0.00000088055,
        0.00000086045,
        0.00000084186,
        0.00000081866,
        0.00000098341,
        0.00000112464,
        0.00000091321,
        0.00000088237,
        0.00000091544,
        0.00000079761,
        0.0000010044,
        0.00000078269,
        0.00000093714,
        0.00000077457,
        0.0000008787,
        0.00000080557,
        0.00000082279,
        0.00000100767,
        0.00000102819,
        0.00000074922,
        0.00000074704,
        0.00000075306,
        0.00000071397,
        0.00000070299,
        0.0000009521,
        0.00000069326,
        0.00000069326,
        0.00000076148,
        0.0000008076,
        0.00000085274,
        0.00000079268,
        0.0000008189,
        0.00000091253,
        0.00000070965,
        0.00000086364,
        0.0000008166,
        0.00000066327,
        0.00000066404,
        0.00000068065,
        0.00000081793,
        0.00000070972,
        0.00000065212,
        0.00000064142,
        0.00000063961,
        0.00000065617,
        0.00000062731,
        0.00000073401,
        0.00000063416,
        0.00000061908,
        0.00000077192,
        0.00000070261,
        0.00000058935,
        0.00000059359,
        0.00000071174,
        0.00000059979,
        0.00000078873,
        0.00000060704,
        0.00000063502,
        0.00000060272,
        0.00000056662,
        0.00000066008,
        0.00000066706,
        0.00000066363,
        0.00000055245,
        0.00000055098,
        0.00000071893,
        0.00000059023,
        0.00000054012,
        0.00000053837,
        0.00000063323,
        0.00000067784,
        0.00000068327,
        0.00000074859,
        0.00000054888,
        0.00000054393,
        0.0000005625,
        0.00000056864,
        0.000000586,
        0.00000050765,
        0.00000051202,
        0.00000052403,
        0.00000064155,
        0.00000050427,
        0.00000050427,
        0.000000629,
        0.00000055902,
        0.00000050047,
        0.00000049142,
        0.00000055589,
        0.00000050005,
        0.00000059759,
        0.00000047716,
        0.00000063636,
        0.00000048821,
        0.00000049427,
        0.00000064684,
        0.00000049622,
        0.00000058187,
        0.00000048661,
        0.0000004871,
        0.00000065208,
        0.00000046209,
        0.00000058609,
        0.00000055906,
        0.00000051943,
        0.00000054149,
        0.00000044466,
        0.00000055947,
        0.0000004329,
        0.00000042587,
        0.000000529,
        0.00000041439,
        0.00000047251,
        0.00000048495,
        0.00000047908,
        0.0000004403,
        0.00000045108,
        0.00000046355,
        0.00000053109,
        0.00000045868,
        0.00000041458,
        0.00000037152,
        0.00000047404,
        0.00000038168,
        0.00000036628,
        0.00000045029,
        0.00000036896,
        0.00000038453,
        0.00000048446,
        0.0000003882,
        0.00000040434,
        0.00000036263,
        0.00000049643,
        0.00000035063,
        0.00000037471,
        0.00000046113,
        0.00000046113,
        0.00000037195,
        0.00000036077,
        0.00000037351,
        0.0000003423,
        0.00000041145,
        0.00000040662,
        0.00000043402,
        0.00000039654,
        0.00000036261,
        0.00000032687,
        0.00000033157,
        0.00000036698,
        0.00000033531,
        0.00000031599,
        0.00000031098,
        0.00000037751,
        0.00000035774,
        0.0000003973,
        0.0000003835,
        0.00000034642,
        0.0000003157,
        0.0000003936,
        0.00000031496,
        0.00000030207,
        0.00000029335,
        0.00000040419,
        0.00000031724,
        0.00000034923,
        0.00000028746,
        0.00000028755,
        0.00000035049,
        0.00000027298,
        0.00000035019,
        0.00000027836,
        0.00000036108,
        0.00000029306,
        0.00000027049,
        0.00000034876,
        0.00000027398,
        0.00000026699,
        0.00000031423,
        0.00000033616,
        0.00000026335,
        0.00000026583,
        0.00000032446,
        0.00000035965,
        0.00000027132,
        0.00000025856,
        0.00000029986,
        0.00000032943,
        0.00000027965,
        0.00000026667,
        0.00000028346,
        0.00000025306,
        0.00000025371,
        0.00000025734,
        0.00000026331,
        0.00000030392,
        0.00000025998,
        0.00000033249,
        0.00000034168,
        0.00000033256,
        0.00000026237,
        0.00000024623,
        0.00000033518,
        0.0000002719,
        0.0000002719,
        0.00000029507,
        0.00000032634,
        0.00000025187,
        0.00000025644,
        0.00000024787,
        0.0000002367,
        0.00000023511,
        0.00000023511,
        0.00000023747,
        0.00000030107,
        0.00000027532,
        0.00000024105,
        0.00000024814,
        0.00000025569,
        0.00000024522,
        0.00000023164,
        0.00000024171,
        0.00000022048,
        0.00000022198,
        0.00000025834,
        0.00000021674,
        0.00000023225,
        0.00000021571,
        0.0000002708,
        0.00000021569,
        0.00000021638,
        0.00000022198,
        0.00000021066,
        0.00000022956,
        0.00000022695,
        0.00000027166,
        0.00000025768,
        0.00000022341,
        0.00000020372,
        0.00000027791,
        0.00000020257,
        0.00000024029,
        0.00000020321,
        0.0000002176,
        0.00000019818,
        0.00000021046,
        0.00000022078,
        0.0000002133,
        0.00000023629,
        0.00000024992,
        0.00000024756,
        0.00000025007,
        0.00000023761,
        0.00000021722,
        0.0000001892,
        0.00000018653,
        0.00000018653,
        0.00000021149,
        0.00000025426,
        0.00000022841,
        0.00000023911,
        0.00000022993,
        0.00000019429,
        0.00000022024,
        0.00000023549,
        0.00000019967,
        0.00000022876,
        0.00000019677,
        0.0000002375,
        0.00000022555,
        0.00000020143,
        0.00000021017,
        0.00000021934,
        0.00000017902,
        0.00000020903,
        0.00000018918,
        0.00000017876,
        0.00000017731,
        0.00000017098,
        0.00000024044,
        0.00000016884,
        0.0000001889,
        0.00000018099,
        0.00000018165,
        0.00000020525,
        0.00000016659,
        0.00000023314,
        0.00000018637,
        0.00000016704,
        0.00000016529,
        0.00000016486,
        0.00000017269,
        0.00000020803,
        0.00000018263,
        0.00000017267,
        0.00000017953,
        0.00000022334,
        0.00000020308,
        0.00000016381,
        0.00000016267,
        0.0000001854,
        0.00000016627,
        0.00000016245,
        0.00000016399,
        0.00000018383,
        0.00000016013,
        0.00000015991,
        0.00000016379,
        0.00000021494,
        0.0000001584,
        0.00000016271,
        0.00000016436,
        0.00000018303,
        0.00000016892,
        0.00000016255,
        0.00000015567,
        0.00000015921,
        0.00000016234,
        0.00000015273,
        0.00000015648,
        0.00000015648,
        0.00000018382,
        0.00000016593,
        0.00000018947,
        0.00000016216,
        0.00000020572,
        0.00000016595,
        0.00000017326,
        0.00000014971,
        0.00000016383,
        0.00000016103,
        0.00000014886,
        0.0000001836,
        0.00000019474,
        0.00000020381,
        0.00000014597,
        0.00000016369,
        0.00000014609,
        0.00000014822,
        0.00000014578,
        0.00000017284,
        0.0000001579,
        0.0000001912,
        0.00000017766,
        0.00000014974,
        0.00000019645,
        0.00000015462,
        0.00000015819,
        0.00000017917,
        0.00000014016,
        0.00000015063,
        0.00000017883,
        0.00000015768,
        0.00000019463,
        0.00000014016,
        0.00000013854,
        0.00000015926,
        0.00000015265,
        0.00000014549,
        0.00000015012,
        0.00000014376,
        0.0000001506,
        0.00000017967,
        0.00000013507,
        0.00000015721,
        0.00000013819,
        0.00000016412,
        0.00000016702,
        0.00000016229,
        0.0000001383,
        0.00000018336,
        0.00000014088,
        0.00000013344,
        0.00000013303,
        0.00000015477,
        0.00000012978,
        0.00000015002,
        0.00000017598,
        0.00000015115,
        0.00000012874,
        0.00000016607,
        0.00000015813,
        0.00000013957,
        0.00000015413,
        0.00000016676,
        0.00000012604,
        0.00000012578,
        0.00000012841,
        0.00000012315,
        0.00000013217,
        0.00000012147,
        0.00000012395,
        0.00000014104,
        0.00000014269,
        0.00000011476,
        0.0000001177,
        0.00000011418,
        0.00000012752,
        0.00000013026,
        0.00000011246,
        0.00000011976,
        0.00000011206,
        0.00000014434,
        0.0000001197,
        0.00000014741,
        0.00000012049,
        0.00000010842,
        0.0000001335,
        0.00000014697,
        0.00000010885,
        0.0000001125,
        0.0000001374,
        0.00000010769,
        0.0000001285,
        0.00000010505,
        0.00000010385,
        0.00000010842,
        0.0000001029,
        0.00000013234,
        0.00000010647,
        0.00000010182,
        0.0000001021,
        0.00000011258,
        0.00000011951,
        0.00000013918,
        0.00000010041,
        0.00000014076,
        0.00000012084,
        0.00000010842,
        0.00000011375,
        0.00000012596,
        0.00000011028,
        0.0000000986,
        0.00000012108,
        0.00000010908,
        0.00000009594,
        0.00000010453,
        0.00000009546,
        0.00000011233,
        0.00000009914,
        0.00000009448,
        0.00000009546,
        0.00000010366,
        0.0000000937,
        0.00000011272,
        0.00000009924,
        0.00000009472,
        0.00000012896,
        0.0000000915,
        0.00000011879,
        0.00000010766,
        0.00000009308,
        0.00000009735,
        0.00000010066,
        0.00000010907,
        0.00000012189,
        0.00000011289,
        0.00000011032,
        0.00000008918,
        0.00000009676,
        0.00000010312,
        0.00000008636,
        0.00000008732,
        0.00000009566,
        0.00000010066,
        0.00000009374,
        0.00000009533,
        0.0000000978,
        0.00000008433,
        0.00000008433,
        0.0000001024,
        0.00000008356,
        0.00000009888,
        0.00000008509,
        0.00000008903,
        0.00000008389,
        0.00000008197,
        0.00000008246,
        0.00000008317,
        0.00000008295,
        0.00000011264,
        0.00000011219,
        0.0000000897,
        0.00000008956,
        0.00000010013,
        0.00000010091,
        0.00000008906,
        0.00000007978,
        0.00000007792,
        0.00000008025,
        0.00000010403,
        0.00000008025,
        0.00000010165,
        0.00000009333,
        0.00000009111,
        0.00000009887,
        0.00000007646,
        0.00000009194,
        0.00000007695,
        0.00000007915,
        0.00000007999,
        0.00000009422,
        0.00000008126,
        0.00000010105,
        0.00000007633,
        0.00000009479,
        0.00000008422,
        0.00000007684,
        0.00000009659,
        0.00000007375,
        0.00000009835,
        0.00000007261,
        0.00000007327,
        0.00000008716,
        0.00000009076,
        0.00000009427,
        0.00000007385,
        0.00000007235,
        0.00000007849,
        0.00000007786,
        0.00000007111,
        0.00000009164,
        0.00000007298,
        0.00000007773,
        0.00000007342,
        0.00000007093,
        0.00000006873,
        0.0000000866,
        0.00000009119,
        0.00000007614,
        0.00000007081,
        0.00000007895,
        0.00000007696,
        0.00000007903,
        0.00000007977,
        0.00000007298,
        0.00000008742,
        0.0000000759,
        0.00000008186,
        0.00000007872,
        0.00000006935,
        0.00000006519,
        0.00000006628,
        0.00000008878,
        0.00000008467,
        0.00000006757,
        0.00000006377,
        0.00000007376,
        0.00000006333,
        0.00000006682,
        0.00000006651,
        0.00000007569,
        0.0000000736,
        0.00000006901,
        0.00000007381,
        0.00000007504,
        0.00000007473,
        0.00000006275,
        0.0000000757,
        0.00000006057,
        0.00000006364,
        0.00000005928,
        0.00000007836,
        0.00000006147,
        0.00000006324,
        0.00000005898,
        0.00000006943,
        0.00000005913,
        0.00000005823,
        0.00000006807,
        0.00000006016,
        0.00000006641,
        0.00000006458,
        0.00000007069,
        0.00000007779,
        0.00000007221,
        0.0000000761,
        0.00000007748,
        0.00000007664,
        0.00000005819,
        0.00000005819,
        0.00000006261,
        0.00000006136,
        0.00000005471,
        0.00000005971,
        0.00000006662,
        0.00000006604,
        0.00000005774,
        0.00000005678,
        0.00000005771,
        0.00000006577,
        0.00000005341,
        0.00000006085,
        0.00000006219,
        0.00000005285,
        0.00000005304,
        0.00000006082,
        0.00000006287,
        0.00000005677,
        0.00000005677,
        0.00000005284,
        0.00000007032,
        0.00000005102,
        0.00000006572,
        0.00000005363,
        0.00000005071,
        0.00000006462,
        0.00000005365,
        0.00000006508,
        0.00000005532,
        0.00000005557,
        0.000000049,
        0.00000004866,
        0.00000004838,
        0.00000004827,
        0.00000005563,
        0.00000005497,
        0.00000006373,
        0.00000004825,
        0.00000004857,
        0.00000005731,
        0.00000005593,
        0.00000005962,
        0.0000000489,
        0.00000004978,
        0.00000006082,
        0.00000005118,
        0.00000005637,
        0.00000005571,
        0.00000006493,
        0.00000005591,
        0.000000048,
        0.00000005463,
        0.00000005035,
        0.00000004758,
        0.00000005081,
        0.00000004612,
        0.00000006057,
        0.00000004578,
        0.00000005515,
        0.00000005305,
        0.0000000544,
        0.00000004994,
        0.00000004487,
        0.00000005536,
        0.00000004486,
        0.00000004513,
        0.00000005772,
        0.00000004455,
        0.00000005554,
        0.00000005487,
        0.0000000477,
        0.00000004782,
        0.00000005299,
        0.00000004812,
        0.00000004838,
        0.00000004398,
        0.00000004622,
        0.00000004573,
        0.00000005909,
        0.00000004454,
        0.00000004339,
        0.00000005432,
        0.00000004814,
        0.00000005416,
        0.00000004417,
        0.00000005809,
        0.00000004499,
        0.00000004316,
        0.00000004591,
        0.00000004277,
        0.00000004839,
        0.00000004685,
        0.00000005613,
        0.00000004574,
        0.00000004511,
        0.00000005229,
        0.00000004479,
        0.00000004309,
        0.00000004502,
        0.00000004161,
        0.00000004124,
        0.00000004511,
        0.00000004109,
        0.00000005256,
        0.00000004845,
        0.00000005044,
        0.00000004049,
        0.00000004077,
        0.00000004372,
        0.00000004235,
        0.00000004119,
        0.00000005657,
        0.00000004022,
        0.00000004173,
        0.00000004173,
        0.00000004084,
        0.00000003996,
        0.0000000406,
        0.00000004344,
        0.0000000401,
        0.00000003948,
        0.00000005205,
        0.00000004634,
        0.00000005029,
        0.00000004736,
        0.00000003969,
        0.00000005443,
        0.00000005129,
        0.00000005129,
        0.00000003855,
        0.00000004014,
        0.0000000386,
        0.00000003855,
        0.00000003832,
        0.00000003833,
        0.00000003992,
        0.00000004504,
        0.00000003821,
        0.00000003915,
        0.00000004,
        0.00000004401,
        0.00000003903,
        0.00000005273,
        0.00000004974,
        0.0000000377,
        0.0000000377,
        0.00000004435,
        0.00000003735,
        0.0000000369,
        0.00000003728,
        0.00000004348,
        0.00000004549,
        0.0000000371,
        0.00000003788,
        0.00000004244,
        0.00000003638,
        0.00000004782,
        0.00000004614,
        0.00000003611,
        0.00000003647,
        0.00000003812,
        0.00000004045,
        0.00000003837,
        0.00000003969,
        0.00000004988,
        0.00000004187,
        0.00000003673,
        0.00000003529,
        0.00000004522,
        0.00000003575,
        0.00000004154,
        0.00000004496,
        0.00000003649,
        0.00000004846,
        0.00000004339,
        0.00000003687,
        0.00000003925,
        0.00000004658,
        0.00000004614,
        0.00000003906,
        0.00000003627,
        0.00000003452,
        0.00000003889,
        0.00000004257,
        0.00000004693,
        0.00000003405,
        0.00000003406,
        0.00000003405,
        0.00000004,
        0.00000004448,
        0.00000004227,
        0.00000003578,
        0.00000003352,
        0.00000003398,
        0.00000003878,
        0.00000003282,
        0.00000003282,
        0.00000003262,
        0.00000003353,
        0.00000003738,
        0.00000003649,
        0.00000004126,
        0.00000003391,
        0.00000003608,
        0.00000003758,
        0.00000003231,
        0.00000003787,
        0.00000003965,
        0.00000003735,
        0.00000003177,
        0.00000003187,
        0.00000004058,
        0.00000003123,
        0.00000003691,
        0.00000003467,
        0.0000000327,
        0.00000004132,
        0.00000003256,
        0.00000004289,
        0.00000003819,
        0.00000003049,
        0.0000000336,
        0.00000003446,
        0.00000003964,
        0.00000003527,
        0.00000003065,
        0.000000035,
        0.00000002995,
        0.00000003701,
        0.00000003539,
        0.00000002935,
        0.00000003414,
        0.00000003976,
        0.000000031,
        0.00000003608,
        0.00000002909,
        0.0000000289,
        0.00000002917,
        0.00000003278,
        0.00000002952,
        0.00000002859,
        0.00000003008,
        0.00000002925,
        0.00000003751,
        0.00000003658,
        0.00000003572,
        0.00000002923,
        0.00000003162,
        0.00000003903,
        0.00000003528,
        0.00000003311,
        0.00000003007,
        0.00000002914,
        0.00000002826,
        0.00000002804,
        0.00000002779,
        0.00000003204,
        0.00000003277,
        0.00000003564,
        0.00000003345,
        0.00000003005,
        0.00000003542,
        0.00000002893,
        0.00000003544,
        0.00000002804,
        0.0000000285,
        0.00000002737,
        0.00000002722,
        0.00000002716,
        0.00000002818,
        0.00000003749,
        0.00000003118,
        0.00000002902,
        0.00000003,
        0.00000002965,
        0.00000002885,
        0.00000002693,
        0.00000003088,
        0.00000002922,
        0.00000003407,
        0.0000000327,
        0.00000003462,
        0.00000003056,
        0.00000002751,
        0.00000003461,
        0.00000003254,
        0.0000000332,
        0.00000003628,
        0.00000002722,
        0.00000002866,
        0.00000003289,
        0.00000002598,
        0.00000002931,
        0.00000002624,
        0.00000002667,
        0.00000002603,
        0.00000002559,
        0.00000002562,
        0.00000002581,
        0.00000002754,
        0.00000002531,
        0.00000002912,
        0.00000002686,
        0.00000002508,
        0.00000002488,
        0.00000003158,
        0.00000002864,
        0.00000002518,
        0.00000002793,
        0.0000000266,
        0.00000002576,
        0.00000002986,
        0.00000003018,
        0.00000002912,
        0.0000000243,
        0.00000003277,
        0.00000002469,
        0.0000000243,
        0.00000002646,
        0.00000002465,
        0.00000002655,
        0.0000000237,
        0.00000002389,
        0.00000002369,
        0.00000002369,
        0.00000002493,
        0.00000002974,
        0.00000002491,
        0.00000002347,
        0.00000003237,
        0.0000000252,
        0.00000002377,
        0.00000002701,
        0.00000002653,
        0.00000002732,
        0.00000002275,
        0.00000002952,
        0.00000002509,
        0.00000002253,
        0.00000002632,
        0.00000002307,
        0.00000002532,
        0.00000002434,
        0.00000002819,
        0.00000002827,
        0.00000002409,
        0.00000002533,
        0.00000002542,
        0.00000002171,
        0.00000002552,
        0.00000002811,
        0.0000000291,
        0.00000002345,
        0.00000002188,
        0.00000002591,
        0.00000002615,
        0.00000002434,
        0.00000003003,
        0.00000002177,
        0.00000002774,
        0.00000002462,
        0.00000002386,
        0.00000002988,
        0.0000000281,
        0.00000002255,
        0.00000002483,
        0.00000002123,
        0.00000002154,
        0.00000002497,
        0.00000002073,
        0.00000002063,
        0.0000000225,
        0.0000000275,
        0.00000002252,
        0.00000002813,
        0.00000002062,
        0.00000002822,
        0.00000002611,
        0.00000002212,
        0.00000002182,
        0.00000002403,
        0.00000002564,
        0.00000002111,
        0.00000002308,
        0.00000002054,
        0.00000002713,
        0.00000002692,
        0.00000002007,
        0.00000002282,
        0.00000002783,
        0.00000002346,
        0.00000002376,
        0.00000002081,
        0.00000002489,
        0.00000002124,
        0.00000002,
        0.00000001998,
        0.00000001969,
        0.00000002467,
        0.00000001955,
        0.00000002054,
        0.00000002425,
        0.00000001995,
        0.00000002035,
        0.0000000199,
        0.00000002449,
        0.00000002354,
        0.00000002466,
        0.00000001932,
        0.00000002448,
        0.00000001912,
        0.00000002647,
        0.00000001873,
        0.00000002199,
        0.00000002386,
        0.00000001886,
        0.000000022,
        0.00000001859,
        0.00000002123,
        0.00000002326,
        0.00000002007,
        0.00000002162,
        0.00000002185,
        0.00000002564,
        0.00000001976,
        0.00000001951,
        0.00000001965,
        0.00000001953,
        0.00000002118,
        0.00000002542,
        0.00000002294,
        0.00000002378,
        0.00000001807,
        0.00000001833,
        0.00000002302,
        0.00000002098,
        0.00000002063,
        0.00000002261,
        0.00000002208,
        0.00000002053,
        0.00000001966,
        0.00000002346,
        0.00000001855,
        0.00000001855,
        0.00000002017,
        0.00000002346,
        0.00000001781,
        0.00000001781,
        0.00000001851,
        0.00000001906,
        0.00000002083,
        0.00000002271,
        0.00000002271,
        0.00000002373,
        0.00000001873,
        0.00000002113,
        0.00000001854,
        0.00000001766,
        0.00000001774,
        0.00000001774,
        0.00000002018,
        0.00000001877,
        0.00000002293,
        0.00000001775,
        0.00000001775,
        0.00000001908,
        0.00000001924,
        0.0000000174,
        0.00000002154,
        0.00000002288,
        0.00000001725,
        0.00000001785,
        0.00000002259,
        0.00000001692,
        0.00000001721,
        0.00000002004,
        0.00000002083,
        0.00000002234,
        0.0000000198,
        0.00000002071,
        0.00000002071,
        0.00000001998,
        0.00000002007,
        0.00000001836,
        0.00000001687,
        0.00000001705,
        0.0000000208,
        0.00000002061,
        0.00000001674,
        0.00000001723,
        0.0000000176,
        0.00000001697,
        0.00000001676,
        0.00000001715,
        0.00000001707,
        0.00000001846,
        0.00000001707,
        0.00000001821,
        0.00000002189,
        0.00000002014,
        0.00000001781,
        0.00000001685,
        0.00000001942,
        0.00000002001,
        0.00000001626,
        0.00000001942,
        0.00000001802,
        0.00000001613,
        0.0000000216,
        0.0000000209,
        0.00000001968,
        0.00000001822,
        0.00000001611,
        0.00000001728,
        0.00000002055,
        0.00000001569,
        0.00000001542,
        0.00000001878,
        0.00000001628,
        0.00000001987,
        0.00000001542,
        0.00000001643,
        0.00000001715,
        0.00000001803,
        0.0000000162,
        0.00000001584,
        0.00000002027,
        0.0000000166,
        0.00000001695,
        0.00000001617,
        0.00000001522,
        0.00000001847,
        0.00000001505,
        0.00000001747,
        0.00000001511,
        0.00000001932,
        0.00000001512,
        0.00000001775,
        0.0000000183,
        0.00000001574,
        0.00000001477,
        0.00000001498,
        0.00000001487,
        0.00000001676,
        0.00000001461,
        0.00000001692,
        0.00000001835,
        0.00000001449,
        0.00000001661,
        0.00000001443,
        0.00000001476,
        0.00000001645,
        0.00000001496,
        0.0000000189,
        0.0000000148,
        0.00000001937,
        0.00000001587,
        0.00000001683,
        0.0000000177,
        0.00000001735,
        0.00000001457,
        0.00000001471,
        0.00000001613,
        0.00000001848,
        0.00000001954,
        0.00000001662,
        0.0000000142,
        0.0000000139,
        0.00000001679,
        0.00000001607,
        0.00000001536,
        0.00000001536,
        0.00000001587,
        0.00000001794,
        0.00000001407,
        0.00000001658,
        0.00000001512,
        0.00000001501,
        0.00000001696,
        0.0000000159,
        0.00000001827,
        0.00000001891,
        0.00000001759,
        0.00000001759,
        0.00000001677,
        0.00000001384,
        0.000000016,
        0.00000001491,
        0.000000014,
        0.00000001334,
        0.00000001377,
        0.00000001377,
        0.00000001454,
        0.00000001421,
        0.00000001426,
        0.00000001356,
        0.00000001314,
        0.00000001338,
        0.00000001453,
        0.0000000147,
        0.00000001314,
        0.00000001715,
        0.00000001305,
        0.00000001382,
        0.00000001464,
        0.00000001758,
        0.00000001356,
        0.0000000179,
        0.00000001578,
        0.00000001464,
        0.00000001375,
        0.0000000162,
        0.00000001663,
        0.00000001314,
        0.00000001452,
        0.00000001302,
        0.00000001421,
        0.00000001339,
        0.00000001685,
        0.00000001458,
        0.00000001341,
        0.000000013,
        0.00000001281,
        0.00000001652,
        0.00000001259,
        0.00000001508,
        0.00000001251,
        0.00000001416,
        0.00000001273,
        0.00000001755,
        0.00000001665,
        0.0000000133,
        0.00000001472,
        0.00000001472,
        0.00000001283,
        0.00000001564,
        0.00000001232,
        0.00000001339,
        0.00000001471,
        0.00000001265,
        0.00000001355,
        0.00000001236,
        0.00000001263,
        0.0000000158,
        0.0000000131,
        0.00000001245,
        0.00000001565,
        0.00000001267,
        0.00000001279,
        0.00000001279,
        0.00000001237,
        0.00000001208,
        0.00000001358,
        0.00000001406,
        0.00000001365,
        0.00000001189,
        0.000000012,
        0.00000001537,
        0.00000001449,
        0.00000001181,
        0.00000001227,
        0.00000001504,
        0.00000001191,
        0.00000001601,
        0.00000001207,
        0.00000001288,
        0.00000001277,
        0.00000001276,
        0.00000001451,
        0.00000001451,
        0.00000001235,
        0.00000001353,
        0.00000001464,
        0.00000001246,
        0.00000001236,
        0.00000001279,
        0.00000001236,
        0.00000001234,
        0.00000001161,
        0.00000001414,
        0.00000001177,
        0.00000001187,
        0.00000001173,
        0.00000001176,
        0.00000001245,
        0.00000001187,
        0.00000001274,
        0.00000001391,
        0.00000001365,
        0.00000001165,
        0.00000001169,
        0.0000000128,
        0.0000000147,
        0.00000001243,
        0.00000001211,
        0.00000001378,
        0.00000001141,
        0.00000001452,
        0.00000001372,
        0.00000001152,
        0.00000001145,
        0.00000001147,
        0.00000001139,
        0.00000001139,
        0.0000000135,
        0.00000001152,
        0.00000001377,
        0.00000001324,
        0.00000001189,
        0.00000001403,
        0.00000001177,
        0.00000001164,
        0.00000001179,
        0.00000001228,
        0.00000001431,
        0.00000001142,
        0.00000001157,
        0.00000001157,
        0.00000001459,
        0.00000001199,
        0.0000000136,
        0.00000001399,
        0.00000001154,
        0.0000000129,
        0.00000001426,
        0.00000001402,
        0.00000001097,
        0.00000001431,
        0.00000001187,
        0.00000001093,
        0.00000001537,
        0.00000001417,
        0.00000001238,
        0.00000001473,
        0.00000001452,
        0.00000001516,
        0.00000001103,
        0.00000001301,
        0.00000001099,
        0.00000001256,
        0.0000000125,
        0.00000001113,
        0.00000001072,
        0.00000001072,
        0.00000001335,
        0.00000001282,
        0.00000001072,
        0.00000001072,
        0.00000001303,
        0.00000001397,
        0.00000001085,
        0.0000000117,
        0.00000001054,
        0.00000001405,
        0.00000001097,
        0.00000001241,
        0.00000001288,
        0.00000001129,
        0.0000000129,
        0.00000001166,
        0.00000001299,
        0.00000001321,
        0.00000001051,
        0.00000001051,
        0.00000001211,
        0.00000001052,
        0.00000001127,
        0.00000001258,
        0.00000001073,
        0.0000000129,
        0.00000001053,
        0.00000001329,
        0.00000001352,
        0.00000001032,
        0.00000001421,
        0.00000001302,
        0.00000001018,
        0.0000000124,
        0.00000001072,
        0.00000001044,
        0.00000001166,
        0.00000001025,
        0.00000001321,
        0.00000001279,
        0.00000001279,
        0.00000001145,
        0.00000001018,
        0.00000001389,
        0.00000001343,
        0.00000001195,
        0.00000001008,
        0.00000001143,
        0.00000001019,
        0.0000000125,
        0.00000001,
        0.0000000111,
        0.0000000117,
        0.00000001196,
        0.00000001151,
        0.00000001005,
        0.00000001316,
        0.00000000995,
        0.00000001197,
        0.0000000111,
        0.00000001088,
        0.00000001015,
        0.00000001012,
        0.00000001381,
        0.00000001276,
        0.00000001233,
        0.0000000116,
        0.00000001247,
        0.00000001201,
        0.00000001045,
        0.00000001034,
        0.00000000988,
        0.00000000973,
        0.00000001081,
        0.00000001105,
        0.00000001105,
        0.00000001022,
        0.00000001176,
        0.00000001174,
        0.0000000098,
        0.00000001194,
        0.00000001045,
        0.00000001227,
        0.00000001185,
        0.00000001222,
        0.0000000098,
        0.00000001285,
        0.00000001225,
        0.00000000985,
        0.00000000995,
        0.00000000983,
        0.00000001005,
        0.00000001208,
        0.0000000095,
        0.0000000122,
        0.00000001171,
        0.00000001155,
        0.00000000978,
        0.00000000967,
        0.00000001232,
        0.00000000962,
        0.00000001017,
        0.00000001065,
        0.00000000951,
        0.0000000099,
        0.00000001236,
        0.00000001104,
        0.00000000956,
        0.00000001275,
        0.00000001056,
        0.00000001143,
        0.00000000941,
        0.00000001191,
        0.0000000117,
        0.00000001072,
        0.00000001059,
        0.00000001044,
        0.00000000998,
        0.00000001221,
        0.00000000926,
        0.00000001089,
        0.0000000095,
        0.00000001071,
        0.00000000998,
        0.00000001082,
        0.00000001057,
        0.00000000916,
        0.000000012,
        0.00000001139,
        0.00000001219,
        0.00000001118,
        0.00000001043,
        0.00000001172,
        0.00000000906,
        0.00000000994,
        0.00000000982,
        0.00000001193,
        0.00000001075,
        0.00000000899,
        0.0000000123,
        0.00000000928,
        0.00000001122,
        0.00000000901,
        0.00000000912,
        0.00000001205,
        0.00000001047,
        0.00000001133,
        0.00000001109,
        0.00000000888,
        0.00000000924,
        0.00000000924,
        0.00000000931,
        0.00000000956,
        0.00000001118,
        0.00000000962,
        0.00000001092,
        0.00000000899,
        0.00000001114,
        0.00000000935,
        0.00000000909,
        0.00000000907,
        0.00000001078,
        0.00000001223,
        0.00000001053,
        0.00000001159,
        0.00000001179,
        0.00000000872,
        0.00000000902,
        0.0000000097,
        0.00000000954,
        0.0000000087,
        0.000000011,
        0.0000000098,
        0.0000000098,
        0.00000001025,
        0.00000000899,
        0.00000000966,
        0.00000000974,
        0.00000001052,
        0.00000000939,
        0.00000000875,
        0.00000000927,
        0.00000000999,
        0.00000000868,
        0.0000000092,
        0.00000000916,
        0.00000001151,
        0.00000001064,
        0.00000000991,
        0.00000000934,
        0.00000000852,
        0.00000000879,
        0.00000000961,
        0.00000000878,
        0.00000001023,
        0.00000001056,
        0.00000000857,
        0.00000000858,
        0.0000000096,
        0.00000001006,
        0.00000000859,
        0.00000001053,
        0.00000000937,
        0.00000000858,
        0.00000001183,
        0.0000000092,
        0.0000000092,
        0.00000000852,
        0.00000000852,
        0.00000000844,
        0.00000000844,
        0.00000000959,
        0.00000000959,
        0.00000001035,
        0.00000000988,
        0.00000001133,
        0.00000000843,
        0.00000000843,
        0.00000000836,
        0.00000001,
        0.0000000087,
        0.0000000101,
        0.00000000869,
        0.00000000862,
        0.00000000865,
        0.00000001156,
        0.00000000854,
        0.00000000854,
        0.00000000959,
        0.00000000843,
        0.00000000819,
        0.00000000871,
        0.00000001145,
        0.00000000967,
        0.00000000811,
        0.00000001076,
        0.00000000973,
        0.00000000927,
        0.00000000927,
        0.00000001043,
        0.00000001118,
        0.00000001087,
        0.00000000843,
        0.00000000799,
        0.00000000916,
        0.00000000867,
        0.00000001078,
        0.0000000095,
        0.00000000972,
        0.00000000793,
        0.00000000798,
        0.00000000885,
        0.00000000791,
        0.00000000919,
        0.00000000919,
        0.00000000841,
        0.00000000841,
        0.00000001022,
        0.00000000978,
        0.00000000923,
        0.0000000086,
        0.00000000803,
        0.00000000948,
        0.00000000852,
        0.00000000873,
        0.00000000956,
        0.00000000972,
        0.00000000926,
        0.00000000914,
        0.0000000103,
        0.00000000809,
        0.00000000809,
        0.00000000784,
        0.0000000102,
        0.00000000817,
        0.00000001007,
        0.00000000872,
        0.00000000934,
        0.0000000078,
        0.00000001031,
        0.00000000793,
        0.00000001085,
        0.00000000961,
        0.00000000888,
        0.00000000782,
        0.000000008,
        0.00000000945,
        0.0000000085,
        0.0000000103,
        0.00000000775,
        0.00000000775,
        0.00000000951,
        0.0000000076,
        0.00000000802,
        0.00000000866,
        0.00000000766,
        0.00000000768,
        0.00000000766,
        0.00000000769,
        0.00000000776,
        0.00000000771,
        0.00000000822,
        0.00000001002,
        0.00000000828,
        0.00000000973,
        0.00000000839,
        0.00000000842,
        0.00000000756,
        0.00000000756,
        0.00000000747,
        0.00000000916,
        0.00000000769,
        0.00000000756,
        0.0000000083,
        0.00000000831,
        0.00000000776,
        0.00000000757,
        0.00000000977,
        0.00000000737,
        0.0000000094,
        0.00000000881,
        0.00000000881,
        0.00000000768,
        0.00000000945,
        0.00000000789,
        0.00000000894,
        0.00000000887,
        0.00000000848,
        0.00000000778,
        0.00000000778,
        0.00000000843,
        0.000000009,
        0.0000000073,
        0.00000000879,
        0.00000000728,
        0.00000000729,
        0.00000000729,
        0.00000000841,
        0.0000000081,
        0.00000000774,
        0.00000000792,
        0.00000000894,
        0.00000000744,
        0.00000001019,
        0.0000000072,
        0.00000000776,
        0.00000001001,
        0.0000000086,
        0.00000000716,
        0.00000000716,
        0.00000000797,
        0.00000000729,
        0.00000000803,
        0.00000000765,
        0.00000000765,
        0.00000000749,
        0.00000000836,
        0.00000000727,
        0.00000000727,
        0.00000000719,
        0.00000000709,
        0.00000000709,
        0.0000000092,
        0.00000000716,
        0.00000000857,
        0.00000000724,
        0.00000000708,
        0.00000000706,
        0.00000000706,
        0.00000000824,
        0.00000000722,
        0.00000000723,
        0.0000000072,
        0.00000000956,
        0.000000008,
        0.000000008,
        0.00000000868,
        0.00000000769,
        0.00000000745,
        0.00000000848,
        0.00000000703,
        0.00000000719,
        0.00000000818,
        0.00000000901,
        0.00000000783,
        0.00000000783,
        0.00000000909,
        0.00000000711,
        0.00000000705,
        0.00000000712,
        0.00000000733,
        0.00000000708,
        0.00000000708,
        0.00000000695,
        0.00000000695,
        0.00000000736,
        0.00000000733,
        0.00000000836,
        0.00000000928,
        0.00000000768,
        0.00000000685,
        0.00000000792,
        0.00000000837,
        0.00000000682,
        0.00000000752,
        0.00000000817,
        0.00000000681,
        0.00000000803,
        0.00000000681,
    ],
    [
        5.58640389526,
        3.19501080417,
        4.83578897954,
        2.57458281509,
        5.46296215793,
        0.44899651249,
        0.60313024847,
        1.46265679616,
        4.08641227912,
        5.07365052128,
        1.13843336592,
        5.42862996601,
        4.71342390707,
        0.41153807474,
        1.48210526398,
        2.79745491359,
        0.13687533326,
        5.72784467548,
        4.05159874352,
        5.33240905202,
        0.84921881394,
        5.59903361411,
        2.44584271705,
        1.19325366411,
        0.59027157812,
        3.33803216964,
        0.30742381833,
        2.72206781342,
        0.90093873172,
        5.09001467212,
        2.95757557284,
        4.02968885174,
        0.0673439418,
        6.15115633926,
        1.10100301594,
        3.96374854662,
        4.09518373122,
        4.90040735801,
        3.92964610129,
        3.10557746427,
        2.3590580876,
        5.74173457069,
        2.62612862596,
        4.09279303186,
        1.0324473213,
        5.8350739525,
        2.31301163514,
        5.88705982112,
        0.82428012166,
        3.6010849769,
        4.48713264921,
        2.67337959503,
        4.58792252731,
        0.90747309129,
        4.97367799615,
        1.54150891449,
        1.57641344464,
        4.98130878652,
        5.16756812825,
        3.73707335017,
        2.9749381059,
        5.05852684698,
        4.42246502754,
        2.72775866401,
        3.60482713264,
        2.14993736411,
        5.88164710896,
        5.55835071261,
        2.47295232173,
        2.08030449144,
        2.93645048734,
        1.24694613809,
        5.0395092254,
        5.44462827617,
        6.13313657202,
        5.85305165742,
        3.85851556523,
        5.64786903747,
        3.83621912362,
        4.19556924462,
        3.52650884327,
        2.58564693197,
        0.73922008905,
        6.20308081313,
        0.55192655633,
        2.40176973016,
        5.62811439341,
        2.1156463037,
        0.30311808414,
        0.1902534599,
        1.97187121386,
        4.29665202435,
        4.10517039399,
        2.87094929008,
        2.97359194678,
        0.62856200162,
        1.12064121841,
        3.99674710141,
        5.17056778089,
        4.35331374641,
        0.45234024897,
        3.32899817186,
        3.21457103113,
        2.15177170721,
        1.54600928268,
        3.84316796768,
        1.774843468,
        5.19130278223,
        0.28360221027,
        4.25624714992,
        5.84943013311,
        2.26380260884,
        1.24749634822,
        5.37502087961,
        2.86921511069,
        2.98216392449,
        1.66448567873,
        1.89511570784,
        0.08058763351,
        5.29349088148,
        2.73642207174,
        6.18145692514,
        1.84353188382,
        4.95200139776,
        4.24426470278,
        5.80156759687,
        3.29084137367,
        3.76565710375,
        1.099943182,
        2.13534949323,
        1.84269456164,
        0.34872426337,
        3.00611004376,
        5.61815057873,
        0.44389764826,
        0.06203142018,
        3.49772973344,
        1.32348354837,
        4.65167271285,
        2.40594407531,
        6.0666370702,
        1.39164707042,
        2.49159323627,
        0.15014814295,
        1.53086525589,
        3.84630379584,
        2.37484813857,
        1.22691907986,
        2.33660635603,
        1.97098448211,
        5.2834444595,
        2.85159863228,
        0.50791540059,
        1.25289826631,
        5.10096101449,
        0.96959623173,
        1.4853135282,
        0.96050577649,
        2.96350458546,
        1.12922566079,
        5.18286340719,
        5.04169316833,
        3.10039424711,
        0.29709684601,
        3.8373206941,
        0.01953353182,
        2.79966508043,
        0.62622137139,
        0.56485405564,
        6.04075422758,
        2.06469019925,
        0.07893800573,
        1.66909550727,
        0.74771686052,
        5.12816987718,
        3.33195222747,
        3.442070988,
        1.14840197831,
        5.74248127061,
        2.28873754957,
        4.34008847005,
        3.828534378,
        2.61912746358,
        4.5795575394,
        0.97485635422,
        5.38036984568,
        5.11627418422,
        2.9511798213,
        4.14240556966,
        3.1889581549,
        2.71851293063,
        4.46617284845,
        3.09389129845,
        4.54455856496,
        2.91199684314,
        3.56955603971,
        6.00173537924,
        4.75629059021,
        3.54847592417,
        4.0841371412,
        0.57518354804,
        5.33129565512,
        6.22764523323,
        0.10475870159,
        1.64327481141,
        4.18735452982,
        0.44790526962,
        6.10541688721,
        2.19241095861,
        1.20077577792,
        5.81768185014,
        4.17791347646,
        5.94135752572,
        5.58851274462,
        2.29297335501,
        0.1828129957,
        3.38939567774,
        4.17952400464,
        0.79817206059,
        4.7339315082,
        2.89475990441,
        1.99518902252,
        6.04307654731,
        1.92479423159,
        0.28536423644,
        2.46621440966,
        1.36588190624,
        0.87035300847,
        0.56631831282,
        4.57805495139,
        0.43155331598,
        5.38657458551,
        1.4067423177,
        2.00313512044,
        0.08407966782,
        1.72024360668,
        0.85428604723,
        4.05892479085,
        3.2096472202,
        4.80563409005,
        5.473375557,
        2.73599948703,
        2.20867391842,
        5.9592396943,
        2.07197132894,
        5.22164350587,
        1.50953564487,
        3.6959871046,
        5.46446571963,
        2.56675310055,
        2.33433917622,
        4.88770212559,
        1.83615762317,
        6.03878169201,
        4.76194471156,
        4.16449693176,
        3.04588193276,
        5.44168689797,
        2.62646156746,
        1.03930372836,
        0.70922699806,
        3.55326872913,
        1.85333938109,
        1.77379352575,
        3.42134683788,
        3.96486064673,
        1.62845102038,
        2.37461935463,
        3.18245251049,
        4.23682984484,
        1.18092220136,
        1.60572975981,
        1.7714322189,
        0.93003878585,
        0.8177113147,
        0.15451148163,
        5.37947744065,
        4.08482767891,
        0.01590735638,
        4.2373209397,
        0.03950282293,
        0.92046523686,
        3.13288930099,
        5.70722465416,
        5.28177714601,
        6.17183070499,
        3.65473479864,
        1.52523203549,
        5.37627907087,
        3.90089614511,
        5.46080628706,
        0.24319756091,
        2.80031308667,
        5.75314210788,
        3.51949079773,
        1.19256728733,
        2.59220497594,
        6.16888137037,
        3.2132649006,
        5.2375748415,
        2.46236691161,
        3.59922480574,
        6.13536892918,
        0.13297617812,
        2.38110021899,
        5.78853543731,
        4.45602113809,
        5.87948764743,
        0.82410431375,
        3.69507490938,
        3.0454796058,
        0.75961828465,
        3.9241215566,
        5.90773062067,
        4.7679762728,
        2.90879658616,
        5.39649594615,
        1.67950712146,
        6.24954329392,
        3.71178482485,
        0.3672814508,
        1.89799508252,
        2.02640978009,
        3.26393184846,
        1.97801735461,
        1.67274038217,
        4.41010592813,
        1.74688331628,
        0.23216205664,
        1.80525950382,
        5.63889998343,
        3.7737357061,
        1.35532997364,
        4.60966309407,
        5.40668949066,
        0.45482399227,
        0.88773586563,
        4.25800150348,
        0.47362825119,
        3.62451064029,
        4.40670817988,
        1.91892162118,
        1.04210925773,
        3.18889922249,
        2.69111606131,
        0.02760055667,
        2.2480495098,
        5.64481654456,
        1.15543254121,
        1.66400680316,
        4.84771375413,
        0.7792208767,
        4.68958727466,
        4.65388189938,
        4.61529282078,
        3.24754078518,
        0.44335094646,
        4.99467573586,
        5.74394773491,
        1.78212439397,
        6.13861817689,
        1.27570290327,
        2.18774926262,
        5.9171189873,
        4.73983524718,
        4.66439163495,
        6.2591916087,
        2.5149859308,
        0.64955132149,
        4.61588742653,
        5.45064207796,
        0.81917620362,
        1.95975211492,
        4.74365521929,
        2.5096606286,
        0.9901649931,
        4.88120491917,
        4.21009096686,
        0.01129968609,
        2.14697008774,
        3.40769286148,
        4.6183957866,
        2.95872345426,
        3.50833483571,
        4.97172129826,
        2.75501396928,
        4.10679868656,
        4.16961696361,
        6.06284167082,
        5.45039155171,
        6.02030359291,
        1.06477393813,
        0.00007477989,
        0.35404077029,
        5.93733244108,
        4.15556147324,
        4.44903394289,
        3.58218487728,
        5.47313323353,
        5.39313956478,
        4.12482973047,
        1.88444022876,
        3.43163971575,
        6.13525731257,
        5.04563353956,
        5.10534747703,
        3.99701508899,
        2.69034505764,
        2.53636090939,
        6.11825697845,
        1.07398042072,
        1.28266336916,
        1.59473341317,
        5.60640784947,
        4.93613007276,
        4.54083775787,
        6.24950229981,
        1.01117086199,
        3.56111829834,
        4.38424746311,
        5.53386811168,
        0.51535684239,
        3.23404420181,
        5.31609891905,
        4.47156939792,
        4.04544063722,
        6.26333565058,
        3.54910301218,
        2.91926139184,
        3.33712242752,
        4.49379795044,
        1.53774240394,
        2.88300873205,
        0.76053202388,
        5.6827717221,
        2.93697363406,
        1.81311842537,
        2.51101235743,
        2.09707617094,
        0.46131983164,
        5.20502524032,
        4.4245033519,
        2.78432187312,
        5.55847637074,
        5.16218435235,
        3.03797170606,
        4.62992447202,
        1.56413997114,
        3.60681147286,
        5.55096889463,
        2.48024992554,
        3.14310393264,
        3.08475839413,
        1.63731661243,
        0.03480230424,
        2.55939029519,
        4.06091902786,
        5.46714027653,
        5.16682565077,
        4.05668696595,
        4.53409645547,
        4.00608684255,
        2.11524640748,
        3.91382811936,
        4.19712154327,
        0.18155680317,
        4.45825713034,
        4.64374162623,
        4.75427059768,
        4.71854522019,
        0.32805201664,
        1.72922409232,
        0.62486177896,
        5.67282160428,
        0.37237079306,
        4.61376820029,
        5.34787848533,
        5.43414431783,
        4.42267152292,
        0.14118338011,
        4.87076841042,
        1.27633192968,
        2.43907047943,
        4.97297202382,
        5.88920583793,
        3.05676075892,
        1.98340803593,
        1.35474057566,
        5.82579229775,
        1.50873653792,
        1.77744028043,
        2.98291222547,
        4.2074071408,
        2.16782274779,
        1.68554114116,
        0.13091443612,
        2.38625629897,
        2.17807289493,
        3.24096099019,
        1.75172035628,
        5.30878070823,
        2.27098970437,
        2.04771482115,
        0.35789109097,
        3.16045047065,
        0.1192134983,
        0.68499330423,
        5.1665983647,
        4.52887777009,
        1.14475064542,
        0.3102674019,
        5.11102486996,
        0.02004670501,
        2.20426681355,
        3.52685708072,
        3.87245484115,
        4.56188666009,
        3.46933216009,
        5.96033162893,
        1.91946398686,
        4.08272447614,
        2.29213342962,
        5.85090359378,
        3.08413813287,
        2.91304532501,
        5.11817349516,
        3.86428603001,
        5.10457107202,
        4.49562952252,
        6.16708424151,
        0.10470016181,
        4.64105815749,
        4.97031829303,
        4.11483060864,
        4.01730820598,
        3.76525133977,
        0.9180426852,
        1.85492286402,
        0.18639888994,
        6.03563186387,
        2.12243591235,
        4.85176617134,
        1.63592147192,
        1.02889895862,
        5.61107049084,
        1.4146866511,
        2.58264721236,
        6.24214235238,
        4.7991838212,
        1.13633294908,
        1.99558555167,
        2.83637498985,
        0.28838089763,
        0.79329378943,
        0.97528115907,
        5.28793099536,
        3.44547432746,
        1.30149158514,
        4.00723953716,
        1.96836238081,
        0.83656885419,
        1.23658530283,
        2.91707869462,
        2.65874555104,
        3.73507948705,
        0.76061848201,
        1.95490574105,
        3.45843630535,
        4.99142844854,
        1.5376847275,
        2.42045227957,
        4.81957323352,
        4.85681711059,
        1.40533416228,
        6.23437907106,
        0.49892034946,
        5.95458526387,
        4.55443763374,
        1.36046222351,
        0.86570844668,
        4.58233275783,
        4.50456492563,
        3.61220411831,
        3.66113241657,
        2.13961985045,
        4.14044243723,
        6.17093225727,
        1.55046365235,
        1.61907531561,
        4.94950539935,
        4.68138674425,
        3.04400260073,
        2.58903556136,
        1.64089065325,
        3.13750980567,
        4.67997663967,
        5.53730899074,
        1.7327966862,
        1.53572181695,
        1.60748447836,
        2.70791503528,
        2.84594084238,
        1.17500375466,
        5.89369907681,
        4.52541950314,
        1.66581919068,
        1.72834635046,
        3.70630213204,
        5.46559992336,
        2.491647121,
        2.63358277774,
        4.28960471972,
        0.58296245759,
        3.41437432865,
        6.25613561237,
        0.95492982065,
        4.04808546179,
        6.05008020502,
        6.19975448744,
        2.20124656384,
        5.79238193635,
        1.80010144776,
        6.11030412335,
        4.93442008056,
        5.52440863918,
        0.84097877285,
        3.75216779365,
        3.49297899617,
        1.54318213545,
        0.10158990272,
        2.19172369252,
        4.9118469698,
        0.18114715284,
        1.56688636016,
        0.18848218475,
        3.42511025047,
        1.501975022,
        4.42535566671,
        5.47938216081,
        3.19938069715,
        1.34597310936,
        3.33832806105,
        1.10309438059,
        4.64455276241,
        0.6596099533,
        1.87709798852,
        5.02476951207,
        4.17760232563,
        0.56756639384,
        0.61877635867,
        3.18901609785,
        0.12437540127,
        4.5585809095,
        0.28522496168,
        5.07797348512,
        2.03406090557,
        0.80075789262,
        0.23924844134,
        4.42545578897,
        0.64414831002,
        1.10669581015,
        2.79735661192,
        5.63689121224,
        4.17429508241,
        2.91769140697,
        1.3935875603,
        1.41185123555,
        0.89222201489,
        2.32880269949,
        0.40206042973,
        1.61120369517,
        3.76467114399,
        6.23427543593,
        2.59471394496,
        5.64392577085,
        3.03320322404,
        3.66461671083,
        2.79281459085,
        4.40974508034,
        1.18291048596,
        5.85287056545,
        0.83644011312,
        3.4313521638,
        4.67709866433,
        0.06758308008,
        1.61984291787,
        3.76362078874,
        0.3490674095,
        5.00967301311,
        4.20300225162,
        4.8041624688,
        0.24398954365,
        5.63936187479,
        2.65645538069,
        0.0892417071,
        4.60482495392,
        3.60816325052,
        4.00742132263,
        5.58744937803,
        0.3118677974,
        5.08974304707,
        5.19795063531,
        2.66592778977,
        6.00853202742,
        4.00929640081,
        2.4074051488,
        4.27275851966,
        5.05008428113,
        0.06778086534,
        2.54785709519,
        5.31254492577,
        5.54434755126,
        3.76658400062,
        2.63340598809,
        2.55060349358,
        2.20590299498,
        1.79693811667,
        1.71323516885,
        1.149666335,
        0.97259949349,
        0.65575474438,
        1.26523656461,
        0.32557672954,
        4.26467347482,
        2.81161922279,
        3.01740495484,
        5.62701027438,
        0.20513166775,
        4.75266812707,
        4.05799649461,
        0.21483888335,
        4.7735865943,
        2.8179775393,
        5.04028210552,
        1.14110944477,
        5.75203953422,
        6.11153957549,
        5.98432962919,
        5.47708883979,
        3.35843996869,
        4.63467214008,
        1.0795940355,
        1.98886226218,
        3.05673567432,
        4.81005385977,
        1.78727904818,
        2.52678208199,
        4.5039481666,
        1.63465903483,
        3.45682160657,
        1.56659382657,
        4.51872140986,
        1.12182170266,
        2.22449169971,
        0.75076951952,
        2.64558555015,
        3.27855073906,
        2.99571473964,
        3.34063551482,
        1.45022970781,
        0.49167321133,
        1.2026738422,
        0.70048342795,
        3.45948811786,
        0.32925975206,
        4.729725775,
        5.20819082705,
        3.94508545487,
        1.67640720798,
        3.24731450821,
        5.1645816365,
        6.04573965183,
        5.36593074203,
        4.29506314601,
        5.96071961936,
        4.67038464325,
        1.08602404748,
        1.32092240008,
        1.79762056777,
        2.2910695289,
        0.41361009361,
        1.81570030403,
        4.7134129231,
        1.66027874947,
        1.17965180591,
        4.34303137793,
        6.12186657443,
        0.86621704764,
        0.3007657345,
        2.91430634921,
        0.71371200046,
        3.708309239,
        4.66370849222,
        0.19657279056,
        5.6078233043,
        5.6587681746,
        5.8940653762,
        3.51802249315,
        4.3780452269,
        4.1700643349,
        1.68218286192,
        5.966132303,
        1.1597559438,
        0.38130462371,
        1.24802278239,
        4.79885957746,
        2.94875622705,
        4.34972226694,
        2.79593153869,
        4.18255519394,
        0.22887207656,
        1.00995675874,
        3.72645918918,
        4.19812767433,
        4.87000438446,
        5.12558873909,
        0.37101174537,
        5.98476290128,
        3.80790804578,
        2.65463118043,
        5.08713167056,
        5.37522379945,
        6.00876960253,
        4.7705668035,
        6.07068227227,
        1.03432156084,
        1.46511731987,
        5.54405684361,
        4.50525102171,
        5.28613440029,
        6.06771220435,
        5.1103977272,
        3.04563909213,
        0.78899804979,
        0.91705396219,
        0.17912713996,
        0.05373244763,
        2.72544980965,
        0.79204881061,
        5.44329864315,
        5.24323492513,
        4.57102761808,
        2.36906012007,
        4.84402626338,
        0.32210557679,
        4.16685790987,
        2.33550155951,
        4.51267535337,
        0.06680077999,
        6.06241714509,
        0.83668168509,
        6.25213891994,
        1.27624139711,
        1.68866808772,
        2.71209280189,
        3.37815400506,
        1.45180473574,
        5.88497294703,
        6.09171118268,
        5.93532586744,
        5.26260347482,
        3.05880237158,
        2.34072274026,
        3.60111217827,
        3.57942402238,
        0.56305984682,
        2.93953956658,
        0.99738654496,
        5.30246960621,
        5.57604903253,
        5.77608642511,
        1.45795353512,
        2.85826159973,
        3.24758615307,
        4.7597076916,
        3.88573570654,
        5.38817990453,
        4.16792532854,
        4.12207507137,
        0.75389771722,
        4.48939242917,
        0.04791756675,
        3.82323029526,
        5.31195959222,
        3.45892667351,
        3.97624356687,
        4.22691071621,
        4.74986011895,
        2.56386729615,
        1.44986844464,
        1.92450987967,
        0.29268789796,
        3.22733168242,
        4.80388713776,
        1.83319897051,
        1.06488319276,
        6.10353405237,
        0.80843068991,
        2.34354527541,
        1.99020920437,
        5.34907528886,
        4.04634265509,
        4.76574743994,
        1.54896971348,
        0.19806045792,
        5.30179771397,
        0.78907212361,
        6.01982733401,
        1.0825275569,
        5.90524903819,
        2.2362865777,
        1.52340696709,
        0.22462654591,
        3.86736907469,
        1.41471093834,
        0.78146044482,
        0.46210662825,
        4.68863519797,
        4.80768023276,
        4.11391793715,
        3.88729493516,
        5.51528842107,
        1.94235906842,
        4.49290822007,
        3.62174655888,
        1.55046015501,
        4.76613158881,
        4.78712076128,
        5.4777871825,
        4.10404574865,
        1.0241177241,
        1.77695267272,
        3.11269069727,
        2.20047665983,
        6.01527558647,
        3.48939528514,
        2.56527545644,
        3.21018438051,
        5.25823168414,
        3.4333215655,
        5.42363670995,
        1.33403064909,
        2.81526207686,
        0.97716211165,
        5.14117990977,
        6.24603882858,
        5.27515551134,
        6.23235562812,
        0.71196597981,
        3.90241552282,
        4.20888329498,
        2.92031249606,
        4.29921246987,
        1.73055781517,
        5.20717674102,
        1.27545128731,
        0.44426255576,
        0.07875805067,
        3.98303359589,
        0.92434082044,
        0.96059759251,
        0.91803135084,
        3.37288410174,
        2.96316195594,
        1.62322164671,
        2.31677814858,
        2.61568871196,
        3.04862288999,
        0.11237010673,
        0.00709452583,
        2.94649200387,
        4.4220645294,
        1.99258143739,
        6.20355719133,
        5.29255890619,
        5.00322114273,
        4.75808669593,
        4.00641531684,
        1.27050755952,
        3.24853511558,
        4.50151529131,
        4.07998083372,
        5.41584864129,
        4.17205571182,
        3.27594102018,
        0.59356881548,
        1.4000789587,
        2.16667886254,
        3.47781815287,
        4.59429315323,
        3.85453916879,
        5.85647983089,
        3.27038194685,
        5.13548179257,
        4.06317112443,
        4.75862432396,
        0.91307204622,
        5.0738335613,
        2.27696783071,
        0.2158016051,
        2.54843540923,
        3.46715688832,
        2.72227659738,
        2.81122205692,
        5.80261426663,
        5.89121825218,
        3.84203441493,
        1.46039755717,
        0.28763595583,
        4.37381652925,
        3.91636260921,
        1.82766165317,
        4.99072999724,
        2.77317134028,
        5.71910364337,
        3.11137685284,
        2.61060858315,
        4.811575968,
        3.73180881545,
        5.38207110627,
        0.63349242611,
        4.15635980903,
        3.87485901115,
        3.65565538336,
        3.86098154856,
        3.28600233258,
        2.87345784377,
        6.08314691428,
        1.39881214946,
        4.82103462797,
        3.32625747172,
        5.77104029935,
        2.80717156028,
        1.32325223162,
        2.76622768705,
        0.6428352239,
        5.43800011102,
        6.14192419266,
        4.80245950772,
        3.22875931246,
        2.07247731785,
        2.76356339426,
        2.41699531433,
        5.0614414213,
        1.86173045083,
        6.13388081033,
        5.49660849476,
        2.56556261266,
        4.08555395724,
        4.65492407042,
        3.44556090693,
        3.41327739029,
        1.12376486937,
        1.83675765478,
        3.74026028851,
        1.63984852083,
        4.78177293888,
        3.99934092978,
        2.96911465595,
        1.30561704256,
        5.96397301101,
        4.10821310653,
        3.21771300936,
        3.63589972521,
        1.16714789173,
        5.28534594309,
        1.96746705061,
        0.23438304594,
        3.4836103326,
        2.97857012599,
        4.68848167473,
        4.49051482749,
        2.41025191456,
        3.62084996234,
        5.17097264158,
        2.95884375111,
        3.82999893371,
        2.80377624434,
        3.34813046925,
        6.22409873424,
        0.38852296833,
        3.77912190314,
        2.69996342698,
        6.15238947202,
        4.47863866494,
        4.21100881764,
        1.98897148023,
        3.47406128287,
        2.82672809448,
        1.97609142655,
        6.05512739363,
        3.29324404703,
        1.38999835719,
        3.80751619036,
        4.73181541366,
        1.21427959149,
        0.57199147232,
        1.001992168,
        0.1014100649,
        1.54367112759,
        4.28600120342,
        0.26781383536,
        5.95952945648,
        5.74147536696,
        3.55567838325,
        2.17039511461,
        4.1940360987,
        5.19957321657,
        2.75272147826,
        2.49533429526,
        0.151967781,
        2.06059207193,
        0.56065735151,
        6.09508602758,
        0.94913326717,
        0.53915356673,
        2.93783559783,
        6.14378220347,
        3.59077404312,
        4.95454737668,
        2.81354951024,
        4.38744698123,
        1.02316235609,
        5.71127020478,
        4.18624941833,
        4.5848105846,
        0.6086400757,
        3.82122143105,
        0.90039093237,
        0.13390320628,
        3.94290490601,
        1.86330744308,
        0.09902260816,
        3.59175692736,
        5.00627346803,
        2.5311755453,
        5.09670716093,
        1.42372094959,
        1.22634527273,
        6.08351547848,
        0.90054830851,
        0.65619571338,
        5.95524321349,
        3.73411976495,
        1.68379432029,
        4.10088774274,
        0.86930882153,
        1.18680021962,
        2.83113208076,
        3.18761506074,
        1.68163453202,
        2.83164568099,
        5.2636028041,
        3.12621780784,
        3.42504542953,
        0.53352784827,
        3.87647442239,
        1.94605675805,
        3.69798114637,
        0.70634186901,
        5.93123636788,
        5.30959446782,
        1.52354592802,
        0.89510519023,
        3.91662579273,
        1.00275828453,
        3.76865453023,
        4.86727145892,
        0.01297764373,
        3.24271543105,
        4.35806644152,
        1.37972033305,
        3.8167084131,
        4.57769873569,
        1.13498595983,
        4.87665869514,
        3.84258924311,
        1.98489147077,
        3.77635871944,
        3.71673729334,
        0.62445995726,
        1.19683291978,
        0.33833300117,
        1.16131783177,
        1.94135959143,
        5.28324130559,
        0.28498618097,
        0.03837656753,
        2.34899532832,
        3.14892076264,
        3.79368088293,
        5.83357031849,
        1.05939902375,
        4.40535716712,
        0.15195670029,
        5.40624189026,
        4.87164344891,
        0.40758211682,
        1.63124486596,
        2.22361915053,
        5.93155931661,
        5.50666990719,
        4.5181780424,
        1.58245860025,
        1.71533674425,
        6.26559400172,
        3.58337419807,
        2.65612793047,
        2.83520399981,
        5.74822288161,
        2.00868439815,
        0.45033884806,
        4.93243120045,
        4.44624138102,
        3.73582825216,
        3.86926101157,
        5.95405430378,
        5.61575950108,
        5.55705197269,
        3.84873402269,
        3.71475509576,
        1.54562260546,
        5.51371577599,
        2.58143954637,
        4.60115704499,
        3.29530891079,
        3.7393913027,
        5.33077957429,
        3.27550474377,
        4.5894560377,
        0.74298822983,
        2.94920927023,
        0.65609530771,
        0.50847991258,
        4.08063632531,
        0.42305602058,
        1.36706416328,
        5.90718650467,
        4.24209921133,
        1.51772791041,
        3.47780451554,
        0.51811754999,
        5.33772457878,
        0.14027811136,
        6.10219051624,
        0.06456678007,
        4.28867359206,
        0.65867073144,
        5.35033895729,
        2.11809115675,
        5.26567142518,
        4.77242756352,
        4.17646966614,
        5.95434553236,
        4.18866808016,
        2.80178234746,
        5.80843823954,
        1.01437231483,
        4.97404441838,
        1.02757238229,
        5.05514768498,
        5.72841221574,
        1.66085968924,
        0.36915137771,
        3.20592565915,
        3.80713836644,
        2.87538792242,
        4.35642815581,
        2.30944774975,
        5.38385531966,
        4.66089423732,
        2.12105258497,
        0.93221653291,
        3.48927417704,
        0.69912075444,
        1.72919712902,
        3.6734032722,
        1.5289070986,
        2.67747070868,
        1.75846895594,
        4.40535350977,
        1.89413239528,
        3.2554646479,
        5.5478837215,
        4.39880402871,
        5.81992609349,
        3.67268655906,
        1.26376364157,
        4.95438142065,
        3.28717598901,
        6.09695396696,
        5.59121857952,
        5.87379769512,
        1.07634475226,
        5.64490223202,
        2.71454644074,
        4.07142764766,
        5.88558560015,
        2.77224098857,
        5.08664901886,
        4.13524877414,
        2.78275943769,
        2.38157117348,
        1.35236650723,
        0.15654616325,
        4.44444666019,
        3.8263115165,
        2.46538504354,
        5.73059167495,
        0.03617873737,
        2.10319305969,
        2.84714041687,
        6.16596992817,
        1.19326583155,
        4.67834010536,
        3.59622095072,
        2.29643101683,
        4.79991609811,
        4.85054795864,
        2.23867265514,
        4.29608988597,
        2.7769109308,
        4.88232966976,
        4.99290516515,
        3.74777420008,
        2.54240991813,
        2.73751159349,
        0.68863493736,
        4.17275768872,
        4.80007899391,
        4.42291105999,
        6.12160762328,
        4.77564977638,
        5.2973765112,
        1.31777921278,
        1.80109706525,
        2.03672663902,
        5.17831929261,
        2.76554751934,
        4.19045412826,
        6.26122223924,
        4.91158923453,
        4.47233105553,
        1.87733371845,
        1.33621197933,
        4.50659373635,
        3.52462508383,
        4.14396002026,
        6.16192556463,
        3.38006360857,
        0.68921688536,
        2.44535049525,
        1.55215476226,
        3.33747140433,
        1.23143201334,
        2.438265112,
        4.61602871136,
        4.07092209849,
        0.8187040681,
        3.18462167186,
        4.76564757091,
        5.30818813577,
        5.11342973502,
        5.13225437866,
        0.79235621805,
        3.40968747924,
        4.18060259139,
        0.30340863528,
        3.64237121578,
        2.69534154569,
        3.81593475661,
        0.83744491072,
        0.98922312465,
        5.15399823914,
        0.48659989203,
        1.93857319277,
        2.45452004266,
        1.35614614488,
        3.75927628859,
        0.74206548564,
        6.16948523942,
        0.38736887363,
        4.31595591695,
        6.04023119944,
        3.82579789121,
        5.77995233151,
        0.47032854735,
        3.70385355966,
        0.48133607676,
        1.81726608439,
        5.82292680345,
        3.25202211117,
        4.93942538444,
        0.51363431995,
        3.25286200486,
        1.201300279,
        5.33748414084,
        4.36639869407,
        0.43544986691,
        5.24671264008,
        1.15593638614,
        5.41878737515,
        1.3085086056,
        2.34311286379,
        1.56341565357,
        3.6266310679,
        2.37000428005,
        2.57879496141,
        5.50239856358,
        2.96591528468,
        0.61717380145,
        0.56043256933,
        5.37550822094,
        1.16248631448,
        4.91932828975,
        5.71885241225,
        3.48043677711,
        5.13352083431,
        2.19306684644,
        3.7133854849,
        5.4888696502,
        0.17086781255,
        5.56469519031,
        0.82126521853,
        3.95536376972,
        3.63437800519,
        2.43278632462,
        1.601820248,
        1.19445092182,
        2.99396965089,
        5.6286411326,
        3.81584430362,
        5.34714618651,
        5.50722602817,
        0.48223767966,
        0.41524391899,
        5.62073453387,
        0.72544410812,
        2.9560453256,
        1.89129839404,
        4.28334745785,
        0.7109001673,
        3.29324922569,
        4.93214393414,
        3.81891695589,
        3.60830794016,
        4.79833807829,
        2.07787059832,
        4.72024280261,
        5.04418585979,
        1.89128298241,
        2.4447037654,
        3.51344178417,
        0.71720239752,
        4.59007449571,
        5.41881489262,
        0.21330361543,
        0.98286127487,
        0.12353263696,
        2.01416074486,
        1.40716618831,
        4.83119263295,
        4.40359026093,
        2.30923658857,
        1.18240794718,
        4.32400060077,
        3.92843113844,
        4.23240329975,
        5.56458421467,
        0.90957945549,
        2.71827936357,
        1.47511443142,
        4.47164509007,
        4.94949423692,
        2.18886350049,
        3.43722012359,
        3.01502964755,
        1.87459651904,
        5.80656752223,
        2.70658249939,
        3.86790494115,
        2.88391814725,
        4.97246366718,
        5.43876271483,
        5.57667415659,
        2.45454466359,
        4.85439502931,
        2.95881908071,
        1.44277711657,
        1.16210512595,
        4.28508634948,
        5.08811236319,
        2.14612729124,
        2.2401909158,
        3.658636048,
        4.51219845192,
        4.30852333812,
        5.23650480607,
        3.49743224988,
        1.96057349073,
        6.13336562879,
        4.19013422025,
        3.80812940834,
        2.84230067135,
        5.32376328559,
        2.04485074017,
        0.24074353253,
        1.59459147404,
        5.66629342942,
        2.52670094701,
        4.09380191404,
        4.29105717413,
        1.36491781577,
        4.62040676992,
        5.18571387486,
        2.31662723526,
        3.00808942775,
        4.06437698345,
        5.12727736043,
        3.22670487711,
        2.13418978784,
        5.4508028301,
        5.31702713057,
        1.82782460074,
        5.34226901164,
        1.04705345661,
        5.21259622405,
        2.07100357046,
        3.66165325532,
        6.16380597537,
        3.58365746191,
        5.12238861307,
        0.61024942528,
        4.91032534273,
        4.63185174755,
        3.21756257132,
        0.18630409787,
        3.30454335371,
        0.47622589149,
        0.37055529521,
        2.33371277407,
        3.75495075578,
        5.83252185405,
        5.34028961972,
        4.82630923494,
        6.03951463451,
        2.43392352337,
        3.94371718897,
        2.10668027413,
        3.35382822803,
        5.20941165157,
        5.11588456984,
        1.51194108336,
        2.90097686991,
        4.12497084479,
        4.14296643297,
        6.20818805618,
        3.29434090785,
        2.53978476142,
        6.26513392858,
        1.84735278399,
        4.18638529447,
        5.76650446504,
        2.62491181145,
        5.003768345,
        2.18947506754,
        4.73495977065,
        0.898400633,
        0.93764208982,
        1.60294934322,
        5.87825960887,
        5.73806183883,
        0.25671181566,
        0.03305318629,
        6.19222057815,
        5.75067279775,
        0.03353446861,
        1.33278978806,
        3.08429983167,
        5.29261047609,
        2.13113537295,
        1.59389148646,
        3.65657609285,
        2.73482385874,
        6.25851690874,
        1.03182051788,
        5.17513400102,
        1.73840614377,
        0.72754477376,
        2.91003182751,
        6.22742124714,
        5.39698934001,
        4.69362648452,
        1.00740618265,
        3.63821232586,
        3.66166961803,
        2.20526813654,
        2.68435803005,
        5.09740387152,
        3.5424239578,
        2.07148345291,
        4.93758146323,
        1.08318258977,
        5.24418904071,
        0.25741420805,
        0.45690069556,
        0.96345477476,
        4.57813937399,
        1.96162121028,
        4.99209015555,
        4.74432612488,
        4.74432612488,
        4.0203922191,
        1.7573587035,
        1.52010327589,
        1.83388449686,
        5.47298196371,
        4.31671851937,
        2.28376835451,
        3.92764404612,
        5.97076399005,
        2.57854764872,
        5.80714139797,
        1.56243726726,
        0.69918341067,
        2.31755447139,
        2.88079905059,
        0.24029882674,
        3.65793468409,
        1.17544869102,
        3.0598126882,
        3.01734562484,
        4.42566235624,
        0.41159011755,
        2.28718973712,
        4.71819779483,
        2.44959483556,
        2.44003133103,
        1.74949827208,
        6.11708013789,
        5.3377439501,
        5.83506752367,
        2.12423614143,
        3.88396933288,
        4.2975627402,
        0.55123201282,
        5.52683609857,
        6.19309224384,
        3.03189055427,
        0.40056980352,
        5.1361290656,
        1.50688193833,
        5.50615903453,
        3.4884560549,
        0.72075981403,
        1.39448839419,
        5.92119994324,
        2.77960728965,
        1.23911890811,
        2.29712493185,
        5.02482962262,
        5.97921156731,
        1.31054744928,
        6.05901218139,
        6.20330756381,
        3.46712878887,
        5.91851196501,
        4.22822194022,
        4.76004456961,
        2.04302425721,
        6.23816461448,
        5.00950394649,
        2.83229864917,
        5.1162505168,
        4.90192971442,
        1.58832762314,
        2.86590848137,
        2.94437273951,
        1.94525342708,
        1.46132806151,
        1.34516588766,
        0.53131371898,
        5.45761793906,
        5.57047410357,
        5.87818461327,
        0.50705630471,
        0.20479434596,
        4.11174294828,
        0.56919545753,
        0.09487667592,
        2.83129485516,
        0.06592121358,
        4.08931701317,
        1.04985332435,
        2.89375228785,
        5.77459088813,
        5.97834335795,
        4.55961650413,
        3.40095791153,
        3.0430840504,
        0.20207071166,
        4.8752186624,
        6.06052974092,
        0.63981764737,
        4.66657413935,
        5.15702411658,
        1.52749255612,
        3.06096994103,
        4.03244571439,
        4.0341036923,
        2.36193993021,
        3.91239703303,
        5.31122507957,
        5.8615863942,
        2.567353032,
        1.11948010869,
        2.18660086424,
        4.64038062361,
        3.00496182534,
        4.7432634342,
        2.37463413166,
        0.73899940221,
        1.64001146959,
        3.66760351816,
        4.08409167589,
        4.39413389062,
        1.95660242133,
        5.50466248309,
        5.82567686855,
        0.48068217539,
        6.18461471853,
        1.34316892428,
        3.06190616867,
        0.82243324505,
        0.22992677973,
        6.24942495607,
        1.76680956806,
        4.85507772888,
        3.60690644272,
        3.31763307079,
        2.69433700165,
        3.58348892983,
        5.04804922105,
        2.70420266349,
        3.6957480042,
        4.35161784148,
        5.52915230471,
        0.843407885,
        3.68309637121,
        6.19459172994,
        1.70227754284,
        2.35872619773,
        3.76957511946,
        1.961790566,
        3.32798336862,
        4.27737444218,
        4.50718835641,
        0.749410729,
        1.63384615205,
        5.54909275925,
        5.82307444922,
        1.0152465839,
        3.67990060666,
        6.03036726602,
        1.06658994239,
        6.08851819874,
        0.28838108115,
        3.04610895768,
        6.06188128537,
        3.09698136153,
        1.30540118907,
        0.26704685647,
        3.40772335472,
        4.97517294679,
        4.90565001031,
        0.2235679847,
        5.66544916782,
        1.03855193058,
        0.11962988517,
        4.90662779651,
        0.25563898411,
        2.98585324356,
        5.66445689657,
        1.79702653012,
        0.34858879514,
        4.52514855024,
        1.42651506504,
        4.20159262156,
        4.20159262156,
        2.99561921123,
        0.90285346431,
        3.26584053082,
        0.20948717312,
        2.42955422424,
        4.43911097152,
        3.28101333017,
        3.52348683224,
        4.41420701109,
        5.10897715653,
        3.68441956491,
        0.88035865973,
        3.77177323349,
        0.23541100073,
        3.99905255489,
        3.49839767525,
        4.43756731616,
        2.4966487982,
        2.92237254467,
        0.4873910273,
        0.91640584339,
        5.96363240537,
        5.96363240537,
        1.66758854985,
        2.11281651742,
        0.22495487214,
        4.98865285908,
        4.65227669185,
        3.15077321172,
        0.65916330329,
        4.84160265007,
        3.46495043245,
        0.44884060339,
        1.89718815697,
        3.09091091191,
        0.3506471098,
        1.71183346254,
        3.19380563552,
        5.99924499521,
        4.59376258158,
        1.78293804332,
        1.02849557968,
        6.2476792901,
        1.68125966381,
        2.51791980526,
        5.19864310731,
        2.80895292292,
        1.81662419806,
        0.22553531389,
        1.05539301878,
        2.62039491434,
        5.71553086559,
        5.12276714838,
        3.85053522766,
        6.0187235739,
        6.01872357391,
        2.29299187318,
        2.29299187318,
        0.96512635264,
        0.96512635264,
        0.3718199491,
        1.3762135639,
        5.74473561998,
        0.40300615994,
        0.21196509862,
        4.90521975782,
        3.12599906236,
        1.54769372814,
        1.57140164961,
        6.28110425807,
        1.72376746961,
        3.26836848865,
        5.61027073627,
        4.28123305011,
        5.35022886415,
        4.77835810088,
        1.63676544729,
        1.58204951779,
        1.22694695097,
        0.61008368054,
        0.82479731167,
        1.02486744412,
        0.22051521316,
        1.93988314156,
        2.1237476545,
        1.96085545938,
        0.69113180699,
        4.1984943596,
        5.3791293217,
        0.51162175015,
        5.65735430058,
        0.59254220586,
        3.81029938361,
        3.24185708422,
        5.47094937361,
        3.723281473,
        1.58758889388,
        6.06333531011,
        2.39958976528,
        0.89814256581,
        2.38654260174,
        6.20377698011,
        0.63974984193,
        0.63974984193,
        4.14693055275,
        1.00533789916,
        1.76356572435,
        6.10063170165,
        5.46332854009,
        0.47994747274,
        4.00101244392,
        4.20749999937,
        0.10993118074,
        0.85145808105,
        0.19219049494,
        1.58575475783,
        3.30309363763,
        2.39725818747,
        6.26161149754,
        1.59398504657,
        3.92711557341,
        6.04770590451,
        5.48510992166,
        2.1596404916,
        4.32504562762,
        4.08644694319,
        4.717008513,
        0.21966320366,
        2.47713291345,
        4.26011752121,
        1.02451872519,
        2.67254071371,
        1.70195193954,
        5.6841583677,
        3.20991142806,
        4.06069039712,
        0.3104766325,
        1.16963154394,
        3.00079525151,
        3.00079525151,
        4.36992299634,
        4.77344534648,
        4.44315712396,
        5.12332739411,
        1.96682285527,
        1.6275921232,
        4.4675768564,
        5.87087902642,
        2.78600818951,
        2.78598583977,
        2.8483403626,
        2.61286504444,
        4.17948532199,
        3.91693566169,
        5.64763751852,
        4.82173037387,
        1.58063538394,
        1.58063538394,
        4.53970527389,
        0.53251818292,
        3.11155934055,
        0.54984492104,
        3.49429956542,
        5.48519211288,
        2.95329359189,
        2.65993029948,
        4.63633631623,
        5.1123494613,
        1.37204266374,
        4.14004497053,
        3.89117384965,
        4.54804861178,
        3.54564231189,
        1.23325676313,
        3.71784833817,
        1.90161032677,
        1.73960670139,
        4.72868742196,
        4.72868742196,
        2.59704127717,
        3.76941852958,
        4.74108034798,
        4.77364347651,
        2.60603774003,
        0.77581736648,
        0.77581736648,
        2.4574016392,
        4.65306063985,
        3.20387240385,
        3.21012047679,
        5.93934831263,
        4.19216354937,
        2.49847463002,
        1.56486927863,
        0.11554513153,
        0.71986534852,
        0.28002712469,
        4.37859929602,
        4.37859929602,
        5.59551319827,
        4.65941028609,
        4.13945714434,
        3.49230150581,
        3.49230150581,
        2.29649366933,
        2.51999814689,
        3.33280142284,
        0.19120876925,
        5.79361123899,
        0.59726160167,
        3.73885425526,
        1.8086920657,
        4.59064021199,
        0.0253719563,
        3.13275093039,
        3.15032913377,
        0.24440760951,
        3.3860002631,
        5.06503970891,
        1.50443824904,
        2.3165070054,
        0.238315243,
        0.04233388408,
        3.03519680815,
        4.99602201203,
        0.37647106732,
        5.99489096281,
        2.84189249473,
        2.77841948796,
        4.75219753735,
        4.535010645,
        5.15275579739,
        0.79248369499,
        5.1163899372,
        6.05642153657,
        0.64248903432,
        1.7689264306,
        3.126791352,
        6.07513529815,
        0.21809967139,
        1.27557908922,
        1.27557908922,
        6.08215837207,
        2.94056571848,
        5.91292146424,
        2.29907033586,
        5.01712963721,
        0.59357203459,
        3.70421774103,
        4.29010164874,
        3.19395503975,
        3.85260493508,
        3.31484357591,
        0.5655624143,
        3.10337024087,
        0.83323807589,
        0.28965764669,
        1.95625262651,
    ],
    [
        213.5429129215,
        0.2438174835,
        426.8420083595,
        206.42936592071,
        220.6564599223,
        7.3573644843,
        110.45013870291,
        419.72846135871,
        640.1411037975,
        213.0552779545,
        316.6356871401,
        529.9347825781,
        433.9555553603,
        102.84895673509,
        205.9417309537,
        103.3365917021,
        419.2408263917,
        323.74923414091,
        11.2895177474,
        227.77000692311,
        633.0275567967,
        209.6107596584,
        217.4750661846,
        202.4972126576,
        224.5886131854,
        853.4401992355,
        14.47091148511,
        199.3158189199,
        63.49208081989,
        216.72430665921,
        210.36151918381,
        415.7963080956,
        117.5636857037,
        735.6326960483,
        522.3336006103,
        647.25465079831,
        426.3543733925,
        149.8070146181,
        75.0254160508,
        277.2788112249,
        309.0345051723,
        1059.6257476727,
        490.5779066629,
        352.06040979221,
        743.23387801611,
        6.86972951729,
        309.5221401393,
        1052.02456570489,
        838.72547026689,
        95.7354097343,
        316.14805217309,
        3.6883357796,
        441.06910236111,
        846.3266522347,
        220.16882495529,
        412.6149143579,
        198.82818395289,
        537.0483295789,
        4.1759707466,
        38.3768531213,
        211.09523236671,
        215.99059347631,
        422.9098550964,
        202.0095776906,
        109.9625037359,
        212.579705075,
        214.506120768,
        213.4947288117,
        213.5910970313,
        625.42637482889,
        632.5399218297,
        136.78920667889,
        522.8212355773,
        330.8627811417,
        437.8877086234,
        86.07111631471,
        138.76131435421,
        203.9816853659,
        288.32451148881,
        76.50988875911,
        629.0954035336,
        1066.7392946735,
        127.22797912329,
        9.8050450391,
        1155.1173399235,
        223.1041404771,
        1368.4164353615,
        430.7741616226,
        412.12727939089,
        3.42521122121,
        423.66061462181,
        388.70897272171,
        736.1203310153,
        96.2230447013,
        12.77399045571,
        213.0216480597,
        214.0641777833,
        529.44714761109,
        52.446380556,
        430.02340209721,
        1.7282901918,
        625.9140097959,
        860.55374623631,
        341.01470952831,
        948.9317914863,
        350.5759370839,
        941.8182444855,
        234.8835539239,
        1471.50920958009,
        363.1061100561,
        174.1860370063,
        201.01273994931,
        515.2200536095,
        1684.80830501809,
        742.74624304909,
        949.4194264533,
        210.6221516147,
        703.8770021009,
        216.4636742283,
        212.79215339611,
        214.2936724469,
        209.35012722751,
        217.73569861551,
        223.83785366,
        340.52707456129,
        226.07308589371,
        565.35950523021,
        88.6218627335,
        1265.32366114289,
        252.8997888367,
        417.2807808039,
        956.53297345411,
        563.87503252191,
        207.913838629,
        208.1262869501,
        728.5191490475,
        639.6534688305,
        218.9595388929,
        1162.7185218913,
        219.171987214,
        22.3352180113,
        160.852714882,
        301.9209581715,
        21.5844584859,
        99.40443843901,
        845.8390172677,
        265.745475994,
        18.40306474821,
        554.31380496631,
        62.0076081116,
        124.6772327045,
        218.2087793675,
        231.70216018621,
        425.35753565121,
        414.31183538731,
        408.68276109481,
        1258.21011414209,
        215.0273856298,
        64.97655352819,
        142.6934676173,
        208.8770464755,
        71.09326278771,
        203.247972183,
        266.233110961,
        654.3681977991,
        1787.9010792367,
        251.6759485593,
        212.05844021321,
        479.532206399,
        1589.3167127673,
        148.32254190981,
        213.6547875061,
        213.4310383369,
        1581.7155307995,
        2001.2001746747,
        302.40859313851,
        198.5650593945,
        98.6561710411,
        213.7553612426,
        213.3304646004,
        750.3474250169,
        151.2914873264,
        1059.1381127057,
        228.5207664485,
        831.6119232661,
        175.40987728371,
        2.20386307129,
        276.79117625789,
        56.3785338191,
        114.38229196601,
        178.11819026941,
        1479.11039154791,
        311.9552664791,
        195.38366565681,
        192.2022719191,
        636.2089505344,
        278.76328393321,
        191.45151239371,
        1162.23088692429,
        205.46615807421,
        327.68138740401,
        248.9676355736,
        10.538758222,
        213.80354535241,
        213.28228049061,
        433.46792039329,
        106.5179854398,
        1044.9110187041,
        63.9797157869,
        1574.6019837987,
        483.4643596621,
        221.61966776881,
        479.044571432,
        13.9832765181,
        424.39432780471,
        6283.3196674749,
        235.6343134493,
        275.7943385166,
        70.6056278207,
        544.1618765797,
        842.3944989716,
        404.7506078317,
        2104.2929488933,
        121.4958389668,
        138.2736793872,
        497.69145366371,
        284.39235822571,
        8.32057233081,
        190.9638774267,
        429.28968891431,
        1898.10740045609,
        651.1868040614,
        425.878800513,
        219.6932520758,
        270.1652642241,
        426.8901924693,
        39.6006933987,
        404.2629728647,
        501.62360692681,
        426.7938242497,
        312.70353387701,
        355.99256305531,
        618.3128278281,
        210.8345999358,
        216.2512259072,
        427.805216206,
        84.5866436064,
        489.0934339546,
        213.38285422711,
        213.70297161591,
        220.7046440321,
        2317.5920443313,
        1280.0383901115,
        207.3925737672,
        492.06237937121,
        1052.51220067191,
        839.2131052339,
        220.60827581251,
        189.1638905333,
        344.9468627914,
        1148.00379292269,
        602.00806815971,
        179.6026629777,
        73.5409433425,
        289.8089841971,
        359.173956793,
        436.4032359151,
        1375.52998236229,
        142.20583265029,
        107.2687449652,
        636.95971005981,
        10213.5293636945,
        644.0732570606,
        212.27088853431,
        214.81493730871,
        621.98185653281,
        237.9219353097,
        4.9096839295,
        194.89603068979,
        1795.5022612045,
        113.6315324406,
        1890.9938534553,
        1478.62275658089,
        206.3811818109,
        515.70768857651,
        247.4831628653,
        5.872891776,
        216.9874312176,
        31.9995114309,
        114.6429243969,
        127.71561409031,
        767.61290040431,
        181.2995840071,
        10.8018827804,
        2.9375762542,
        35.6685401356,
        206.47755003051,
        220.1351950605,
        415.3086731286,
        245.7862418359,
        1073.85284167431,
        643.32249753521,
        426.3207434977,
        2214.4992701127,
        39.1130584317,
        2420.68481854989,
        448.1826493619,
        1361.3028883607,
        78.9575693139,
        209.12312469139,
        67.424234083,
        69.3963417583,
        134.8291610911,
        0.719390363,
        87.555589023,
        525.7419968841,
        144.39038864671,
        20.850745303,
        4.4366031775,
        98.91680347199,
        427.3632732213,
        209.87388421679,
        206.9506307825,
        159.36824217371,
        140.2457870625,
        14.258463164,
        203.49405039889,
        191.7146369521,
        342.4991822366,
        125.743506415,
        91.8032564712,
        200.52510498229,
        617.5620683027,
        421.212934067,
        1582.2031657665,
        1376.0176173293,
        630.5798762419,
        5.6604434549,
        1272.9248431107,
        214.76675319891,
        212.3190726441,
        934.70469748469,
        15.2216710105,
        53.93085326429,
        153.73916788121,
        353.5448825005,
        777.17412795991,
        1265.81129610991,
        917.1760975389,
        5.1728084879,
        227.2823719561,
        423.9212470527,
        692.831301837,
        2633.98391398789,
        211.8459918921,
        6.3941566378,
        1464.3956625793,
        185.2317372702,
        542.78046973539,
        320.5678404032,
        286.8400387805,
        3.1645787903,
        329.48137429739,
        46.71424039951,
        337.9763281425,
        128.7124518316,
        50.9619078477,
        74.53778108379,
        2207.38572311189,
        299.37021175271,
        182.5234242845,
        391.4172857074,
        416.547067621,
        267.71758366931,
        778.6586006682,
        221.17772478411,
        696.7634551001,
        437.136949098,
        387.4851324443,
        1691.9218520189,
        215.2398339509,
        627.61093082531,
        241.8540885728,
        576.4052054941,
        116.18227885939,
        1795.0146262375,
        2.69149803831,
        312.4429014461,
        134.3415261241,
        273.34665796181,
        445.00125562421,
        323.2615991739,
        224.1009782184,
        7.30918037451,
        518.8890823142,
        422.1761419135,
        214.97920152001,
        212.10662432301,
        3.21276290011,
        1.24065522479,
        292.2566647519,
        618.0497032697,
        221.40721944771,
        2530.8911397693,
        439.37218133171,
        219.9057003969,
        2111.8941308611,
        30.7756711535,
        282.6954371963,
        305.5899868762,
        431.03479405351,
        348.1282565291,
        97.11681657861,
        429.7627696663,
        487.1213262793,
        426.0912488341,
        1169.83206889211,
        418.76525351221,
        199.528267241,
        729.0067840145,
        2737.0766882065,
        638.65663108921,
        339.53023682,
        421.4253823881,
        205.67860639531,
        120.1144321225,
        558.2459582294,
        7.4055485941,
        192.935985102,
        24.1352049047,
        227.557558602,
        432.471082652,
        167.07249000551,
        205.90810105891,
        1677.6947580173,
        207.1801254461,
        6.8360996225,
        244.5624015585,
        427.5927678849,
        428.32648106781,
        1898.5950354231,
        209.3983113373,
        68.90870679129,
        117.0760507367,
        234.149840741,
        273.8222308413,
        3340.8562441833,
        34.1840674273,
        217.68751450571,
        212.6491410442,
        214.43668479881,
        41.4006802921,
        867.6672932371,
        1251.0965671413,
        182.05034353251,
        33.6964324603,
        59.55992755679,
        135.3047339706,
        113.89465699899,
        28.0673581678,
        956.04533848709,
        89.10949770051,
        431.5078748055,
        81.50831573269,
        553.82616999929,
        1780.78753223589,
        319.8170808778,
        137.2768416459,
        739.0410923221,
        145.874861355,
        77.9943614674,
        466.1988842747,
        374.15181032,
        24.6228398717,
        2523.7775927685,
        131.79077970531,
        1692.40948698591,
        333.9011625275,
        2950.3757836445,
        406.23508054,
        193.09604379641,
        381.5954257209,
        60.52313540329,
        23.81969071961,
        216.51185833811,
        756.07956517339,
        464.97504399731,
        361.62163734781,
        39.86132582961,
        411.8641548325,
        313.4542934024,
        0.50694204189,
        395.8225197225,
        0.7650823453,
        245.03548231051,
        423.17297965479,
        2111.40649589409,
        60.04756252381,
        16.9185920399,
        710.99054910171,
        339.042601853,
        852.9525642685,
        210.5739675049,
        281.210964488,
        233.9897820466,
        412.827362679,
        459.0853372739,
        494.510059926,
        129.6756596781,
        681.2979666061,
        162.3371875903,
        260.01333583751,
        342.0115472696,
        45.3328335552,
        618.8004627951,
        26.84351789039,
        211.8983815188,
        215.1874443242,
        455.1531840108,
        2008.3137216755,
        1272.4372081437,
        230.2176874779,
        2847.28300942589,
        106.0303504728,
        214.34606207361,
        212.73976376941,
        467.9988711681,
        408.19512612779,
        430.2865266556,
        422.64922266551,
        329.9690092644,
        174.9222423167,
        420.6916692052,
        245.2986068689,
        184.97110483931,
        163.1403367424,
        426.7301337749,
        405.5013673571,
        2119.00767786191,
        207.32313779801,
        7.87862934611,
        1155.6049748905,
        224.8492456163,
        432.2586343309,
        426.9538829441,
        508.10650660869,
        93.1846633155,
        223.5772212291,
        36.892380413,
        143.9027536797,
        219.76268804501,
        849.5080459724,
        106.7811099982,
        131.6477673534,
        334.7949344048,
        3053.46855786309,
        264.2610032857,
        357.68948408471,
        242.11472100371,
        186.4555775476,
        343.4623900831,
        333.4135275605,
        31.73638687251,
        46.4536079686,
        2428.2860005177,
        536.5606946119,
        202.760337216,
        171.8984151459,
        427.0544566806,
        426.6295600384,
        320.0802054362,
        481.01667910731,
        451.2210307477,
        264.7486382527,
        556.7614855211,
        392.9017584157,
        112.8978192577,
        593.67068088151,
        1567.48843679789,
        67.91186905,
        216.2366716922,
        462.2667310116,
        78.4699343469,
        963.6465204549,
        402.4629859713,
        347.6406215621,
        555.7982776746,
        66.4610262365,
        561.4273519671,
        2214.98690507971,
        460.7822583033,
        146.8380692015,
        141.46962733991,
        478.0477336907,
        572.473052231,
        230.9514006608,
        533.8669358412,
        156.9205616189,
        419.77664546851,
        280.723329521,
        152.77596003471,
        422.42222012939,
        533.37930087419,
        835.28095197081,
        200.2095907972,
        175.6705097146,
        906.130397275,
        295.4380584896,
        547.2002579655,
        423.87306294291,
        294.80741117069,
        263.9454891006,
        1486.2239385487,
        552.829332258,
        1.20702533,
        99.6675629974,
        757.4609720177,
        240.6302482954,
        2097.1794018925,
        1055.6935944096,
        692.34366686999,
        206.64181424181,
        831.3487987077,
        526.00262931501,
        1994.08662767389,
        100.14064374939,
        1588.82907780029,
        226.8762350458,
        220.54458533771,
        2840.1694624251,
        490.09027169589,
        78.2068097885,
        215.54865049161,
        211.53717535141,
        220.44401160121,
        109.48693085641,
        637.69342324271,
        41.2976144281,
        285.61619850311,
        364.5905827644,
        200.04953210281,
        646.76701583129,
        204.1417440603,
        419.6802772489,
        416.059432654,
        211.5708052462,
        2008.8013566425,
        108.0024581481,
        110.4019545931,
        172.70156429801,
        942.3058794525,
        196.01680510321,
        255.1874106971,
        254.6997757301,
        410.1672338031,
        2427.7983655507,
        50.6463936626,
        65.46418849521,
        14.7340360435,
        222.9440817827,
        82.13896305161,
        83.1021708981,
        427.10264079041,
        441.8198618865,
        458.5977023069,
        349.0914643756,
        72.31710306511,
        426.58137592861,
        13.0895046408,
        227.03629374021,
        272.85902299479,
        110.49832281271,
        220.7683345069,
        448.9334088873,
        980.91199584231,
        702.3925293926,
        295.2950461377,
        570.98857952271,
        457.8614969965,
        222.14093263061,
        100.8889111473,
        111.4133465494,
        434.91876320681,
        170.2538837432,
        540.98048284201,
        231.06902073981,
        472.4186593982,
        543.2681047024,
        241.9971009247,
        3266.76765330109,
        569.29165849331,
        420.2497262205,
        258.6319289932,
        28.32799059869,
        251.4153161284,
        864.4858994994,
        259.1195639602,
        705.36147480921,
        3163.6748790825,
        238.815707187,
        149.3193796511,
        326.9306278786,
        188.41313100791,
        267.22994870229,
        642.58878435231,
        230.8083883089,
        42.78208713641,
        280.2477566415,
        1685.2959399851,
        97.9199657307,
        274.30986580831,
        193.8991929485,
        120.01136625851,
        380.37158544351,
        714.92270236481,
        387.22450001341,
        203.5086046139,
        2324.70559133209,
        254.38426154501,
        640.1892879073,
        639.177895951,
        432.9923475138,
        17.28229033479,
        105.76971804189,
        815.3071635977,
        19.36627259471,
        196.2774375341,
        206.54124050531,
        197.08058668621,
        640.0929196877,
        202.2365802267,
        894.5970620441,
        819.8154634768,
        3369.8604275197,
        107.52937739611,
        189.96703968541,
        732.1881777522,
        486.64575339981,
        606.5163680388,
        256.8319420998,
        1471.9968445471,
        1883.8803064545,
        106.2573530089,
        403.26613512341,
        468.4865061351,
        33.3809182752,
        355.50492808829,
        186.71620997851,
        434.0037394701,
        1905.2209474569,
        189.47940471839,
        641.104311644,
        47.9380806769,
        407.1982883865,
        219.3844355351,
        196.8681383651,
        230.0052391568,
        731.70054278519,
        275.3067035496,
        194.42045781031,
        662.28738607949,
        526.2657538734,
        477.5600987237,
        240.36961586451,
        1368.9040703285,
        433.90737125051,
        424.1336953738,
        351.5727748252,
        480.52904414029,
        390.19344543,
        395.34943897051,
        19.8875374565,
        238.6726948351,
        17.0216579039,
        92.2908914382,
        157.8837694654,
        1493.3374855495,
        429.5503213452,
        206.3174913361,
        237.11878615761,
        850.25880549781,
        427.00206705391,
        426.68194966511,
        2744.1902352073,
        824.4983762653,
        9.3174100721,
        3156.5613320817,
        649.7023313531,
        232.66536803271,
        90.0032695778,
        194.6329061314,
        661.4817447999,
        2531.3787747363,
        269.6776292571,
        453.9293437334,
        187.67941782501,
        749.8597900499,
        2744.6778701743,
        495.9945326343,
        518.40144734719,
        394.5986794451,
        2413.5712715491,
        830.8611637407,
        354.76872277791,
        857.3723524986,
        192.448350135,
        471.9310244312,
        167.9662618828,
        29.44876501211,
        487.60896124631,
        594.8945211589,
        207.7013903079,
        131.16013238639,
        256.08118257441,
        172.48911597691,
        402.77850015639,
        204.9448932124,
        511.2879003464,
        350.08830211689,
        503.1080796351,
        305.10235190919,
        380.6322178744,
        367.03826331921,
        2325.1932262991,
        69.6087900794,
        232.4529197116,
        405.0137323901,
        237.4343003427,
        418.2439886504,
        141.208994909,
        2001.68780964171,
        176.894349992,
        100.1551979644,
        72.577735496,
        562.3905598136,
        425.56998397231,
        144.1779403256,
        326.1969146957,
        291.5059052265,
        2310.4784973305,
        343.9836549449,
        113.15845168861,
        239.40640801801,
        448.98829064149,
        1169.34443392509,
        746.67839631219,
        84.6897094704,
        171.0046432686,
        428.11403274671,
        739.5648493114,
        1802.6158082053,
        28.6980054867,
        135.5799206165,
        1287.15193711231,
        314.1880065853,
        269.2020563776,
        190.6483632416,
        486.1581184328,
        419.20719649691,
        526.7533888404,
        25.3590451821,
        117.6667515677,
        110.9714035647,
        385.7882114149,
        196.1344251822,
        128.6093859676,
        250.191475851,
        376.4394321804,
        397.63706083091,
        24.88596443009,
        329.1658601123,
        990.47322339791,
        856.62159297321,
        2221.6128171135,
        505.5557601899,
        129.2000867986,
        639.6198389357,
        756.56720014041,
        73.0533083755,
        141.7302597708,
        121.2352065359,
        843.8789716799,
        384.3037387066,
        3480.06674873909,
        95.6323438703,
        3583.1595229577,
        910.0625505381,
        724.5869957844,
        312.9666584354,
        25.516611749,
        55.4153259726,
        236.4374626014,
        210.88278404561,
        216.2030417974,
        109.92887384111,
        297.9888049084,
        672.3844327119,
        2200.2721761111,
        611.1992808273,
        393.2172726008,
        97.17169833279,
        17.5092928709,
        164.78486814511,
        2641.0974609887,
        104.82106441041,
        433.4342904985,
        100.4012761803,
        37.88921815429,
        397.14942586389,
        640.66236865931,
        636.47207509279,
        208.4351034908,
        218.6507223522,
        760.4993534035,
        244.0747665915,
        319.5564484469,
        1130.47519297691,
        700.90805668431,
        806.96977631951,
        370.2196570569,
        170.51700830159,
        566.8439779385,
        115.8667646743,
        1788.38871420371,
        5.385256809,
        533.1161763158,
        2.7251279331,
        3686.2522971763,
        508.5941415757,
        551.27542358051,
        310.4707937708,
        184.3379653929,
        124.2590337067,
        525.2543619171,
        320.8284728341,
        411.3765198655,
        383.81610373959,
        178.33063859051,
        54.89406111079,
        89.0400617313,
        500.1391342185,
        3060.5821048639,
        26088.1469590577,
        285.35556607221,
        1383.13116433011,
        57.86300652739,
        658.30035106221,
        632.06434895021,
        482.9767246951,
        634.512029505,
        1045.3986536711,
        271.6497369324,
        455.41381644171,
        484.9488323704,
        770.0605809591,
        42.88515300039,
        732.45130231059,
        304.84171947829,
        440.1753304838,
        745.03386490949,
        32.48714639791,
        849.7711705308,
        493.5468520795,
        319.06881347989,
        991.9576961062,
        504.8050006645,
        200.80029162821,
        327.9420198349,
        774.7264474051,
        637.2203424907,
        43.0452116948,
        26.58288545949,
        313.43973918739,
        198.72511808891,
        153.25153291419,
        199.040632274,
        179.9181771628,
        952.3401877601,
        113.37090000971,
        254.5967098661,
        958.33296034749,
        840.91002626331,
        771.5450536674,
        208.3894115085,
        635.4752373515,
        111.67397898031,
        597.11519917759,
        201.7634994747,
        1044.6478941457,
        108.96566599461,
        183.85033042589,
        3472.9532017383,
        262.3009576979,
        337.08255626521,
        440.5814673941,
        207.426203662,
        1140.8902459219,
        832.0995582331,
        226.28553421481,
        1033.1145589148,
        372.66733761171,
        650.436044536,
        225.3223263683,
        348.8790160545,
        2318.0796792983,
        198.0774244275,
        623.4663292411,
        215.8305347819,
        211.2552910611,
        2847.77064439291,
        561.6904765255,
        228.36070775411,
        278.2756489662,
        283.9047232587,
        2729.96314120569,
        72.05647063421,
        527.22646959241,
        197.5012778115,
        425.1450873301,
        21.0968235189,
        481.97988695381,
        219.2201713238,
        207.8656545192,
        425.6181680821,
        707.809155364,
        512.66930719071,
        428.0658486369,
        668.4522794488,
        969.86629557841,
        248.75518725251,
        3061.06973983091,
        1258.6977491091,
        969.37866061139,
        49.47743513939,
        774.98957196349,
        379.1477451661,
        88.35873817511,
        604.7163811454,
        212.17031479781,
        214.91551104521,
        204.97852310719,
        1596.43025976811,
        738.814089786,
        407.71955324831,
        69.12115511239,
        491.8017469403,
        1575.08961876571,
        258.78949556011,
        319.0833676949,
        634.7244778261,
        313.9273741544,
        318.12015984841,
        316.6838712499,
        48.51422729289,
        6276.2061204741,
        519.15220687259,
        28.5549931348,
        398.5308327082,
        105.2966372899,
        1905.70858242391,
        619.534175978,
        215.50295850929,
        229.5845480315,
        291.76902978489,
        721.40560204669,
        120.74507944141,
        444.36811617781,
        25.61967761299,
        609.1216151605,
        2538.00468677009,
        317.59889498661,
        2641.5850959557,
        616.07759559439,
        525.514994348,
        10206.4158166937,
        62.4952430786,
        103.81216458159,
        72.090100529,
        619.046541011,
        393.70490756781,
        102.8971408449,
        172.0014810099,
        1048.0924124418,
        1485.7363035817,
        413.8242004203,
        316.58750303031,
        298.4764398754,
        102.8007726253,
        210.60759739969,
        215.07977525651,
        212.0060505865,
        327.9969015891,
        766.128427696,
        123.2958258602,
        610.44852130189,
        187.5193591306,
        541.2959970271,
        1119.429492713,
        101.88574888859,
        188.270118656,
        652.67127676971,
        914.20715212231,
        80.44204202221,
        691.3468291287,
        305.8506193071,
        92.0638889021,
        307.07445958451,
        194.5323323949,
        428.5389293889,
        282.9078855174,
        434.47682022211,
        344.45922782439,
        187.9400502559,
        114.6978061511,
        842.65762352999,
        2516.66404576769,
        305.85311143459,
        101.62511645769,
        496.2069809554,
        348.3913810875,
        789.7043009321,
        91.54262404029,
        405.747445573,
        233.1866328945,
        92.55401599659,
        331.45348197271,
        31.2633061205,
        130.1969245399,
        315.6724792936,
        109.69937917751,
        111.2008982283,
        357.4770357636,
        126.231141382,
        93.28772917949,
        181.56270856549,
        434.70631488571,
        3796.4586183957,
        624.6756153035,
        268.68079151581,
        851.9557265272,
        252.4121538697,
        77.7191748215,
        1066.2516597065,
        834.7933170038,
        212.092070108,
        699.94484883781,
        625.1632502705,
        71.8440223131,
        425.40571976101,
        629.846163059,
        31.24875190549,
        232.5534934481,
        38.11622069041,
        77.4730966056,
        135.0922856495,
        239.5664667124,
        3899.5513926143,
        282.20780222929,
        428.27829695801,
        177.6305553024,
        626.126458117,
        214.018485801,
        620.4973838245,
        354.508090347,
        145.6624130339,
        3376.9739745205,
        52.934015523,
        206.9049388002,
        42.5696388153,
        418.97770183331,
        433.2047958349,
        2957.48933064529,
        1063.0702659688,
        499.175926372,
        924.28964453971,
        182.78405671541,
        179.8151112988,
        322.26476143261,
        60.3106870822,
        87.87110320809,
        122.9803116751,
        239.1457755871,
        644.33388949151,
        315.41184686271,
        685.7177548362,
        151.5039356475,
        7.83293736379,
        311.2190611687,
        1080.9663886751,
        508.7371539276,
        639.3903442721,
        827.67977000299,
        159.2081834793,
        287.83687652179,
        1048.8431719672,
        1382.64352936309,
        643.0618651043,
        297.8857390444,
        95.47228517591,
        671.8967977449,
        453.66871130251,
        2626.8703669871,
        208.8624922605,
        443.5167829159,
        952.8639447494,
        105.7842722569,
        141.9427080919,
        167.3331224364,
        235.68919520349,
        1055.95671896799,
        213.1034620643,
        112.4101842907,
        312.21589891,
        205.8935468439,
        440.85665404,
        64.7159210973,
        85.58348134769,
        220.8689082434,
        206.2169175996,
        388.2213377547,
        531.73476947149,
        123.78346082721,
        3046.3550108623,
        338.72708766791,
        338.0457641117,
        628.6077685666,
        300.854684461,
        56.8661687861,
        244.30176912761,
        4002.64416683289,
        645.77017809,
        125.42799222991,
        310.41591201661,
        416.79314583689,
        3164.1625140495,
        90.3187837629,
        769.0973731126,
        34.9202727377,
        782.59075393131,
        621.4942215658,
        631.54308408841,
        176.63371756111,
        1891.4814884223,
        12566.3955174663,
        641.62557650581,
        330.9658470057,
        2104.7805838603,
        1457.2821155785,
        170.41394243761,
        143.6903053586,
        183.486632131,
        739.30172475301,
        67.6366824041,
        1048.58004740881,
        247.2707145442,
        430.98660994371,
        1802.12817323829,
        140.721359942,
        6681.46867088311,
        375.9517972134,
        610.93615626891,
        444.1074837469,
        17.91542978119,
        218.4719039259,
        616.56523056141,
        366.2875037938,
        485.63685357099,
        49.26498681829,
        837.4534458797,
        2634.47154895491,
        162.6527017754,
        927.5911504839,
        193.4115579815,
        335.38563523581,
        452.4448710251,
        427.73578023681,
        422.6974067753,
        155.2236405895,
        883.5513617802,
        6.3484646555,
        1040.97886544099,
        529.1840230527,
        173.9254045754,
        165.3610147611,
        447.448936179,
        945.48727319021,
        90.57941619379,
        2487.1722274643,
        133.34468838281,
        419.1926422819,
        518.62844988331,
        530.68554210351,
        429.81095377611,
        105.03351273151,
        3789.34507139489,
        180.40581212981,
        409.5765329721,
        437.40007365639,
        2854.3965564267,
        213.00709384469,
        657.4065791849,
        421.6885069465,
        1062.80714141041,
        205.98991506349,
        419.28901050149,
        747.1660312792,
        345.08987514331,
        681.7856015731,
        25234.46294233869,
        1096.8504572182,
        784.28767496071,
        535.6669227346,
        418.2776185452,
        166.58485503849,
        527.01402127131,
        420.2040342382,
        110.189506272,
        425.9482364822,
        102.3276918733,
        168.2963302829,
        39.9162075838,
        116.07921299541,
        409.4335206202,
        355.02935520881,
        181.08713568601,
        385.3005764479,
        275.5818901955,
        267.8776423637,
        43.5328466618,
        253.16042126761,
        177.36743074401,
        635.94831810351,
        1194.21109128031,
        103.37022159689,
        835.5440765292,
        222.6165055101,
        23.1383671634,
        22.6507321964,
        243.599193712,
        2957.9769656123,
        220.9170923532,
        206.1687334898,
        1107.8961574821,
        586.06949891369,
        1037.7974717033,
        234.0379661564,
        193.0478596866,
        281.4234128091,
        1084.0047700609,
        671.1605924345,
        614.38067456499,
        2.6769438233,
        220.39582749141,
        206.6899983516,
        250.45210828191,
        35.18090516859,
        912.722679414,
        228.7332147696,
        198.3526110734,
        3377.4616094875,
        534.1275682721,
        3362.74688051889,
        666.96780674051,
        103.597224133,
        132.85705341579,
        346.43133549971,
        700.4204217173,
        212.5340130927,
        306.34074640161,
        256.6718834054,
        5216.33655531789,
        799.36859435169,
        451.97179027311,
        549.8940167362,
        45.49040012211,
        1171.63205578549,
        1364.4842820984,
        644.8069702435,
        520.37355502251,
        2222.1004520805,
        587.450905758,
        337.5581291447,
        207.6386519831,
        6290.4332144757,
        12.28635548869,
        552.34169729099,
        41.08516610701,
        133.86844537209,
        98.6012892869,
        5849.1202946311,
        895.0846970111,
        9779.32999085069,
        66.9486612035,
        546.71262299849,
        9772.21644384989,
        10220.6429106953,
        246.68001371321,
        3.94896821049,
        624.1543504417,
        9146.54625153749,
        1389.3509394536,
        1144.0716396596,
        336.5949212982,
        629.35852809199,
        118.3144452291,
        1009.22317149361,
        347.16754081009,
        1091.3814416201,
        1372.3485886246,
        122.71967924421,
        1166.1630401874,
        133.82026126229,
        46.22660543249,
        913.5070688342,
        551.3448595497,
        196.3805033981,
        709.29362807231,
        58.0754548485,
        700.2079733962,
        3767.4544350593,
        2118.5200428949,
        318.43567403349,
        327.19375243699,
        83.6234357599,
        406.39513923441,
        488.6057989876,
        447.28887748461,
        173.6984020393,
        414.09938706621,
        40.59753113999,
        1748.2810787631,
        2707.58486990309,
        259.7527034066,
        322.3678272966,
        355.2418035299,
        174.9367965317,
        141.4550731249,
        3693.36584417709,
        105.13657859549,
        679.4979797127,
        245.99869015701,
        1159.0494931866,
        736.59590389479,
        466.5143984598,
        3480.5543837061,
        249.71839509901,
        77623.56832092509,
        764.6439549877,
        262.77653057739,
        757.5640378817,
        6.9179136271,
        6503.7323099137,
        482.5011518156,
        2435.3995475185,
        256.18424843839,
        1453.08683775701,
        271.8621852535,
        419.94090967981,
        145.387226388,
        25454.87558477749,
        1354.18934135989,
        544.7525774107,
        285.1431177511,
        544.2649424437,
        3273.8812003019,
        3274.36883526891,
        148.5831743407,
        754.5950924651,
        316.1144222783,
        415.0625949127,
        428.4865397622,
        5746.0275204125,
        59.038662695,
        349.6127292374,
        230.3207533419,
        1165.6392831981,
        200.27902676641,
        226.80679907661,
        50.15875869559,
        1176.9456158929,
        10433.9420061333,
        9676.23721663209,
        1950.5344739372,
        301.65783361311,
        243.29037717131,
        183.79544867171,
        330.3751461747,
        469.9709788434,
        934.4415729263,
        210.1345166477,
        415.04804069769,
        118.6299594142,
        679.8134938978,
        321.3015535861,
        878.08234618209,
        79.43065006591,
        238.18505986809,
        718.8548556279,
        397.9001853893,
        452.70550345601,
        280.9357778421,
        1357.3707350976,
        383.5529791812,
        360.1371646395,
        535.56385687061,
        109.0687318586,
        102.73708215049,
        1670.5812110165,
        316.896319571,
        116.6699138264,
        166.84548746939,
        5863.3473886327,
        214.53975066279,
        9352.73179997469,
        1183.16539101641,
        120.6020670895,
        1108.3837924491,
        165.8486497281,
        2950.8634186115,
        763.1931121742,
        1055.2059594426,
        1063.55790093581,
        2207.8733580789,
        557.75832326239,
        163.82166029861,
        156.02678974161,
        346.1561488538,
        346.64378382081,
        4215.94326227089,
        3391.68870348911,
        767.1252654373,
        419.7620912535,
        2693.3577759015,
        212.3045184291,
        418.71956152989,
        409.6795988361,
        2090.06585489169,
        1477.8383671607,
        1012.66768978969,
        748.9660181726,
        1268.9926898476,
        115.11600514891,
        217.9481469366,
        209.13767890641,
        4112.8504880523,
        116.12739710521,
        973.7984488415,
        959.45373476091,
        988.28866740149,
        1378.3052391897,
        614.868309532,
        170.72945662269,
        1020.2688717575,
        372.77040347569,
        2421.1724535169,
        2810.6776441217,
        487.3965129252,
        1151.1851866604,
        3170.78842608329,
        3149.44778508089,
        217.24806364849,
        94.7722018878,
        514.95692905111,
        514.46929408409,
        173.43776960839,
        530.0466571627,
        746.15463932291,
        424.8699006842,
        1248.3857620281,
        703.38936713389,
        538.8483164723,
        416.3200650849,
        313.7149258333,
        2648.6986429565,
        643.5856220936,
        1394.9800137461,
        331.6135406671,
        252.1490293113,
        293.74113746021,
        4105.7369410515,
        165.10038233019,
        5860.16599489499,
        674.0813537413,
        107.0417424291,
        104.29979954861,
        60.79832204921,
        1147.7406683643,
        945.7503977486,
        271.05903610141,
        880.26690217851,
        1365.23504162379,
        670.2522663422,
        5852.3016883688,
        253.2153030218,
        3796.94625336271,
        2048.1582325577,
        227.81819103291,
        199.26763481011,
        25440.64849077589,
        475.6000531359,
        660.851097481,
        101.3644840268,
        1383.9343134822,
        1699.0353990197,
        303.3023650158,
        1773.6739852351,
        272.33775813299,
        91.70019060721,
        1467.3139317586,
        656.9189442179,
        469.6434025708,
        470.1310375378,
        1128.7782719475,
        384.5161870277,
        1560.3748897971,
        1243.98302014049,
        5539.8419719753,
        1403.5780334552,
        701.6924461045,
        1112.3159457122,
        735.6808801581,
        388.9696051526,
        6599.7115371315,
        427.317581239,
        2854.8841913937,
        25557.96835899609,
        559.94287925881,
        2751.79141717511,
        228.0331314815,
        560.46663624809,
        531.9405201482,
        9790.37569111459,
        527.929045008,
        877.8192216237,
        1226.45442019471,
        124.18959773749,
        206.2693072263,
        220.8165186167,
        121.0082039998,
        9782.51138458839,
        220.4964012279,
        206.5894246151,
        1096.48675892331,
        1461.6848574661,
        379.8839504765,
        705.1008423783,
        155.53915477459,
        5436.7491977567,
        476.56326098241,
        2833.0559154243,
        1340.8053429983,
        1222.52226693161,
        1082.2596649217,
        2467.6428764329,
        2509.5504987669,
        9366.9588939763,
        959.97749175019,
        960.4651267172,
        304.1055141679,
        645.5577297689,
        78477.2523376441,
        5867.27954189579,
        328.4845365561,
        71.5688356672,
        795.43644108859,
        2740.7457169112,
        1127.50624756031,
        774.25336665311,
        398.38782035631,
        476.07562601539,
        135.7923689376,
        761.98382611181,
        1257.9469895837,
        304.36614659881,
        613.6299150396,
        121.59890483079,
        323.48860171,
        203.72105293501,
        223.36477290801,
        519.88592005549,
        640.8918633229,
        1115.7604640083,
        108.26558270649,
        99.1438060081,
        102.5883243042,
        256.3443071328,
        6247.26929803929,
        759.0148806952,
        1939.4887736733,
        1397.9489591627,
        7.3909943791,
        46.8173062635,
        76.0222537921,
        690.8591941617,
        475.11241816889,
        99.92819542829,
        1392.5323331913,
        523.2968084568,
        824.23525170691,
        634.98760238449,
        689.86235642041,
        97.4323307637,
        465.7112493077,
        1546.2908081474,
        152.9884083558,
        2434.9119125515,
        528.71094230071,
        608.0008407471,
        540.49284787499,
        967.8941879031,
        173.38288785421,
        560.9397170001,
        227.7218228133,
        199.3640030297,
        599.40282103799,
        9797.4892381154,
        1680.87615175499,
        944.99963822319,
        725.0746307514,
        343.49601997789,
        1973.37663399041,
        773.24197469681,
        776.2109201134,
        524.78128116509,
        6.82154540749,
        25344.66926355809,
        913.24394427581,
        557.2827503829,
        550.3816517032,
        301.17019864609,
        2597.3785486837,
        568.5408989679,
        1458.71591204951,
        2538.4923217371,
        308.7713806139,
        394.7017453091,
        1332.9917127094,
        10.051123255,
        416.8077000519,
        714.2920550459,
        1961.8432987595,
        1760.07753855241,
        6328.0812106155,
        263.26416554441,
        394.8618040035,
        1022.0688586509,
        104.33342944339,
        62.2827947575,
        511.7755353134,
        555.3106427076,
        2313.65989106819,
        331.9290548522,
        486.9088779582,
        1471.2460850217,
        841.9068640046,
        522.28541650049,
        473.31243127551,
        179.1150280107,
        1986.9730806731,
        899.0168502742,
        781.8399944059,
        1151.93594618579,
        2151.25100677631,
        3708.0805731457,
        386.00065973601,
        9793.5570848523,
        5845.18814136799,
        25771.7550894011,
        1080.0726167978,
        6261.4963920409,
        160.365079915,
        1475.4413628432,
        1467.57705631699,
        1460.4635093162,
        1439.75351563271,
        3171.2760610503,
        606.2008538537,
        5334.1440585051,
        401.2940274481,
        81.9959506997,
        428.80205394729,
        726.07146849269,
        734.6694882018,
        1304.6805370581,
        733.18501549349,
        1259.431462292,
        4.4220489625,
        633.5031296762,
        633.9907646432,
        529.82290799351,
        1198.14324454341,
        26.10731258001,
        770.5818458209,
        947.28726008359,
        9896.64985907089,
        210.08633253789,
        97.21988244259,
        981.1751204007,
        3679.1387501755,
        429.5357671302,
        876.8585059047,
        828.16740497,
        979.427523134,
        261.2371761149,
        102.6888980407,
        1407.51018671831,
        51322.36608391289,
        1527.8684363243,
        103.0090154295,
        1229.89893849079,
        1246.9012893198,
        1246.4136543528,
        1187.0975442795,
        663.5594104667,
        607.00400300581,
        600.7842278823,
        1901.7764291608,
        12573.5090644671,
        521.8580277308,
        3583.64715792471,
        2442.5130945193,
        449.7365580394,
        184.6010899513,
        860.0661112693,
        775.6896552516,
        9775.39783758759,
        447.552002043,
        52168.93655363109,
        4760.34895633411,
        260.6040366685,
        10529.9212333511,
        166.4817891745,
        517.4046096059,
        622.2449810912,
        905.64276230799,
        866.7735213598,
        5842.0067476303,
        1332.728588151,
        1886.7985756338,
        527.4871020233,
        597.60283414461,
        1035.24672528451,
        115.3791297073,
        589.7385276184,
        589.2508926514,
        146.13798591339,
        146.6256208804,
        10.2781257911,
        9.79049082409,
        177.15498242291,
        249.93084342011,
        507.3557470833,
        67.94549894479,
        36.404745446,
        178.3788227003,
        248.70700314271,
        951.2194133467,
        598.5996718859,
        2520.3330744724,
        525.26891613211,
        803.3007476148,
        1336.6607414141,
        1535.24510788349,
        988.0255428431,
        3119.9559667775,
        3120.4436017445,
        167.80869531589,
        769.5729459921,
        20006.84263106329,
        2015.9149036433,
        982.3964685506,
        274.09741748721,
        310.95842873781,
        195.6467902152,
        480.00777927849,
        221.9284843095,
        205.1573415335,
        1054.4722462597,
        241.3664536058,
        26404.5388287143,
        9470.05166819489,
        556.2738505541,
        454.6655490438,
        155.43608891061,
        903.16145185841,
        469.48334387639,
        317.15695200191,
        529.88659846831,
        438.1483410543,
        685.2301198692,
        206.4629958155,
        524.25752417581,
        523.7698892088,
        3590.7607049255,
        3590.2730699585,
        731.92754532131,
        443.6198487799,
        261.81332273089,
        1784.719685499,
        19992.61553706169,
        3280.9947473027,
        548.0940298428,
        63.6039554045,
        108.47803102759,
        892.7970751507,
        1025.6854977289,
        832.34563644899,
        586.5571338807,
        1235.3679540889,
        1310.1495526562,
        1699.5230339867,
        102.9608313197,
        5.90652167079,
        740.0524842784,
        63.38020623529,
        721.8932370137,
        930.7725442216,
        738.0803766031,
        746.4152717538,
        592.4468406041,
        1120.3927005595,
        26514.7451499337,
        519.63984183961,
        4113.3381230193,
        1673.7626047542,
        580.33735875721,
        3657.24811383991,
        735.58451193849,
        736.0721469055,
        604.2287461784,
        3267.2552882681,
        362.6184750891,
        1293.63483679419,
        188.6762555663,
        845.57589270931,
        2439.3317007816,
        1051.9763815951,
        2014.2703722406,
        1052.07274981469,
        582.62498061761,
        52183.1636476327,
        631.7891623043,
        519.1497147451,
        13362.6935242827,
        204.45725824539,
        693.82813957829,
        694.31577454531,
        962.7527485776,
        688.41151360689,
        6058.48723680599,
        545.7157852572,
        595.47066777489,
        436.8763166671,
        187.9949320101,
        5496.2254698659,
        1055.43296197871,
        225.58545092669,
        462.00609858071,
        157.6713211443,
        269.41450469871,
        2093.2472486294,
        347.6551757771,
        678.27413943531,
        185.08872491831,
        938.63685074779,
        1016.59984305279,
        5753.6287023803,
        5753.14106741329,
        976.4922076122,
        655.1738390787,
        497.9545782221,
        494.2348732801,
        995.88984936931,
        632.58810593949,
        633.07574090651,
        1051.06135785839,
        3900.0390275813,
        451.48415530609,
        193.93282284329,
        103.28840759231,
        662.7750210465,
        7232.49527644471,
        103711.47146249928,
        1703.4551872498,
        1126.54303971381,
        2748.6100234374,
        4319.0360364895,
        4319.5236714565,
        529.9829666879,
        1649.383582366,
        151.0163006805,
        1379.4621356254,
        1379.9497705924,
        785.772147669,
        4010.24534880071,
        608.1608994415,
        608.64853440851,
        467.68335698301,
        103.5490400232,
        103.0614050562,
        870.7056746229,
        664.78325074409,
        2306.5463440674,
        740.52556503041,
        2431.4673942554,
        102.63650841399,
        103.12414338101,
        1163.6817297378,
        171.2170915897,
        829.37669103239,
        255.8687342533,
        3068.1832868317,
        279.72649177971,
        147.3593340633,
        669.4009330803,
        3465.8396547375,
        843.145258497,
        103.3847758119,
        4003.1318017999,
        9988.69693302559,
        311.48218572709,
        937.8860912224,
        199.83708378171,
        227.24874206131,
        4009.7577138337,
        457.3738620295,
        5653.98044645779,
        354.2810878109,
        37.6285857234,
        840.6975779422,
        840.2099429752,
        812.70191647599,
        813.189551443,
        403.9474586796,
        182.0357893175,
        2331.8191383329,
        842.13386654071,
        1460.2003847578,
        455.29619636271,
        5422.5221037551,
        570.7761312016,
        3693.8534791441,
        413.34862754081,
        391.73279989249,
        458.33457774851,
        418.49006686629,
        414.5749599457,
    ],
];

pub(crate) const Y1: [[f64; 1023]; 3] = [
    [
        0.09285877988,
        0.0308650168,
        0.02728479923,
        0.02644990371,
        0.00629201988,
        0.00256626023,
        0.00312353889,
        0.00189297041,
        0.0020446502,
        0.00118113185,
        0.00067024295,
        0.00066948413,
        0.00031931062,
        0.00024548187,
        0.00030521021,
        0.00022265017,
        0.0001893952,
        0.00018082904,
        0.00017786477,
        0.00016307253,
        0.00016919177,
        0.00015920273,
        0.00016167186,
        0.00014472589,
        0.00011071575,
        0.00009887534,
        0.0000871393,
        0.00006197025,
        0.00005502258,
        0.00005466098,
        0.00003484091,
        0.00003596198,
        0.00003029001,
        0.00003353859,
        0.00002987715,
        0.00002732424,
        0.00003741808,
        0.00002374342,
        0.00002875345,
        0.00002121841,
        0.00002386687,
        0.00001755551,
        0.00001690652,
        0.00001545396,
        0.00001447492,
        0.00001392451,
        0.00001331483,
        0.00001452348,
        0.00001285559,
        0.00001159539,
        0.00001128476,
        0.00001131769,
        0.00001127023,
        0.00001101803,
        0.00001061927,
        0.0000134336,
        0.0000133164,
        0.00001287848,
        0.00001050973,
        0.00000900723,
        0.00000882663,
        0.00000924505,
        0.00000876882,
        0.00000905253,
        0.00000820808,
        0.00000844907,
        0.00000760731,
        0.00000657423,
        0.00000813631,
        0.00000642768,
        0.00000657845,
        0.00000715042,
        0.00000596876,
        0.0000047202,
        0.00000467656,
        0.00000472526,
        0.00000487417,
        0.00000402114,
        0.00000376954,
        0.0000041941,
        0.00000439384,
        0.00000458871,
        0.00000345395,
        0.00000334209,
        0.00000330276,
        0.00000339713,
        0.0000030495,
        0.00000312395,
        0.00000311746,
        0.00000299095,
        0.00000299955,
        0.00000271105,
        0.00000260779,
        0.00000278736,
        0.00000335527,
        0.00000259607,
        0.00000263983,
        0.00000291544,
        0.00000214376,
        0.00000208551,
        0.00000208257,
        0.00000211653,
        0.00000199845,
        0.00000195781,
        0.00000192346,
        0.00000191573,
        0.00000185995,
        0.00000168803,
        0.00000170172,
        0.00000167553,
        0.0000017751,
        0.00000177755,
        0.00000157494,
        0.00000162215,
        0.00000160622,
        0.00000147298,
        0.00000177635,
        0.00000170308,
        0.00000158062,
        0.00000138665,
        0.00000150976,
        0.00000136839,
        0.00000163932,
        0.00000164921,
        0.00000134204,
        0.00000141934,
        0.00000153018,
        0.00000132722,
        0.00000136617,
        0.00000124984,
        0.0000013831,
        0.0000012114,
        0.00000146873,
        0.00000135623,
        0.00000114737,
        0.00000107506,
        0.00000105407,
        0.00000123012,
        0.00000104647,
        0.00000123445,
        0.00000121327,
        0.00000121539,
        0.0000009833,
        0.00000123139,
        0.00000106461,
        0.00000134338,
        0.0000010753,
        0.00000114356,
        0.00000094347,
        0.00000104237,
        0.0000008841,
        0.00000091547,
        0.00000084219,
        0.00000091641,
        0.00000080939,
        0.00000082304,
        0.00000099237,
        0.00000073063,
        0.00000079913,
        0.00000070813,
        0.00000072632,
        0.00000075817,
        0.00000072415,
        0.00000084109,
        0.00000066814,
        0.00000064253,
        0.00000073347,
        0.00000061578,
        0.00000060447,
        0.00000063039,
        0.00000064265,
        0.00000058169,
        0.00000065491,
        0.00000057055,
        0.00000063072,
        0.00000076825,
        0.00000065944,
        0.00000065704,
        0.00000059449,
        0.00000066539,
        0.00000053194,
        0.0000006389,
        0.00000052968,
        0.0000005148,
        0.00000053788,
        0.00000052017,
        0.00000048475,
        0.00000048625,
        0.00000047377,
        0.00000066468,
        0.00000047697,
        0.000000504,
        0.00000051302,
        0.00000048534,
        0.00000050418,
        0.00000052765,
        0.0000005613,
        0.00000053587,
        0.00000050974,
        0.00000044236,
        0.00000046842,
        0.0000004153,
        0.00000044045,
        0.0000004058,
        0.0000004103,
        0.00000040882,
        0.00000038986,
        0.00000045904,
        0.00000053423,
        0.00000041233,
        0.00000046867,
        0.00000046594,
        0.00000037309,
        0.00000036647,
        0.00000041194,
        0.00000036297,
        0.00000036204,
        0.00000041215,
        0.00000045013,
        0.00000034449,
        0.00000034256,
        0.0000003682,
        0.00000033887,
        0.00000036762,
        0.00000032982,
        0.00000033116,
        0.00000032822,
        0.00000037519,
        0.00000031997,
        0.00000040913,
        0.00000030291,
        0.00000029064,
        0.00000031114,
        0.00000028459,
        0.00000035352,
        0.00000027208,
        0.00000037148,
        0.00000033504,
        0.00000032029,
        0.00000027479,
        0.00000029371,
        0.0000003041,
        0.00000033556,
        0.00000028365,
        0.00000024664,
        0.00000028864,
        0.00000033503,
        0.00000027468,
        0.00000023818,
        0.00000023542,
        0.00000023335,
        0.0000002481,
        0.00000023968,
        0.00000025517,
        0.00000022253,
        0.0000002319,
        0.00000021849,
        0.0000002127,
        0.00000022382,
        0.00000021104,
        0.00000024718,
        0.0000002079,
        0.00000025298,
        0.00000019818,
        0.0000001953,
        0.00000023121,
        0.00000019612,
        0.00000019333,
        0.00000020375,
        0.00000020742,
        0.00000019203,
        0.00000018481,
        0.00000021067,
        0.00000019538,
        0.00000020461,
        0.00000021171,
        0.0000001913,
        0.00000018295,
        0.0000001816,
        0.00000017549,
        0.00000017626,
        0.00000016792,
        0.00000016458,
        0.00000018239,
        0.00000016441,
        0.00000016263,
        0.00000016077,
        0.00000018919,
        0.00000020156,
        0.00000017804,
        0.00000022054,
        0.00000015573,
        0.00000016309,
        0.00000018944,
        0.00000017127,
        0.0000001969,
        0.00000020455,
        0.00000016447,
        0.00000016503,
        0.00000020378,
        0.00000016713,
        0.00000017063,
        0.00000018187,
        0.0000001483,
        0.00000015128,
        0.00000014162,
        0.00000014139,
        0.0000001806,
        0.00000013362,
        0.00000013903,
        0.00000015359,
        0.00000013906,
        0.00000013001,
        0.00000013054,
        0.00000015661,
        0.00000017412,
        0.00000014557,
        0.0000001711,
        0.00000012702,
        0.00000017195,
        0.00000012663,
        0.00000015239,
        0.00000012562,
        0.00000012487,
        0.00000012205,
        0.00000014071,
        0.00000013589,
        0.00000013297,
        0.0000001295,
        0.000000128,
        0.0000001406,
        0.00000013165,
        0.00000011819,
        0.00000011579,
        0.00000011596,
        0.00000012157,
        0.00000011328,
        0.0000001331,
        0.0000001376,
        0.00000011244,
        0.00000011256,
        0.00000011849,
        0.00000011016,
        0.00000010858,
        0.00000014447,
        0.00000010877,
        0.00000010671,
        0.00000010673,
        0.00000013923,
        0.00000012161,
        0.00000011528,
        0.00000012972,
        0.00000010573,
        0.00000011572,
        0.00000012498,
        0.00000010593,
        0.00000012818,
        0.0000001023,
        0.00000010672,
        0.00000010068,
        0.00000011596,
        0.00000010203,
        0.00000009849,
        0.00000010252,
        0.00000010915,
        0.00000009693,
        0.00000009672,
        0.00000009664,
        0.0000000986,
        0.00000010186,
        0.00000010831,
        0.00000009746,
        0.00000009573,
        0.00000011944,
        0.00000009779,
        0.00000010421,
        0.00000010874,
        0.00000010712,
        0.00000009203,
        0.00000009203,
        0.00000010194,
        0.00000009371,
        0.00000010238,
        0.00000010084,
        0.00000010456,
        0.00000010166,
        0.00000011381,
        0.00000012113,
        0.00000010043,
        0.00000009235,
        0.00000008818,
        0.00000009068,
        0.00000010089,
        0.00000010283,
        0.00000009854,
        0.00000009008,
        0.00000008926,
        0.00000008557,
        0.00000010257,
        0.00000009526,
        0.00000009414,
        0.00000009628,
        0.00000011719,
        0.00000008304,
        0.00000008224,
        0.00000008279,
        0.00000009189,
        0.00000008334,
        0.0000000803,
        0.00000010377,
        0.00000010377,
        0.00000009061,
        0.00000008325,
        0.00000007948,
        0.0000001052,
        0.00000008773,
        0.00000008377,
        0.00000008448,
        0.00000008685,
        0.00000007716,
        0.00000007794,
        0.00000008324,
        0.00000007401,
        0.00000008108,
        0.00000007383,
        0.00000007791,
        0.00000007076,
        0.00000009308,
        0.00000009741,
        0.00000007187,
        0.00000007014,
        0.00000006966,
        0.00000007308,
        0.00000006845,
        0.00000006779,
        0.00000007128,
        0.00000007238,
        0.00000006975,
        0.00000007167,
        0.00000007917,
        0.00000006648,
        0.000000068,
        0.00000008501,
        0.00000006569,
        0.00000008044,
        0.00000006518,
        0.00000007597,
        0.00000008282,
        0.00000007088,
        0.00000006908,
        0.00000006418,
        0.00000006362,
        0.00000006216,
        0.00000006708,
        0.00000007258,
        0.00000007633,
        0.00000006841,
        0.00000005996,
        0.00000005926,
        0.00000006244,
        0.00000006129,
        0.00000006129,
        0.0000000597,
        0.00000005955,
        0.00000007108,
        0.00000005852,
        0.00000005748,
        0.0000000647,
        0.0000000561,
        0.00000005595,
        0.00000006286,
        0.00000005905,
        0.0000000542,
        0.00000007291,
        0.00000005368,
        0.00000006762,
        0.0000000629,
        0.00000006519,
        0.00000005326,
        0.00000005918,
        0.00000005209,
        0.00000005766,
        0.00000006291,
        0.00000005107,
        0.00000006557,
        0.00000005736,
        0.00000005147,
        0.00000005331,
        0.00000005351,
        0.000000049,
        0.00000006324,
        0.0000000612,
        0.00000004858,
        0.00000006153,
        0.00000004774,
        0.00000005096,
        0.00000004756,
        0.00000005064,
        0.00000004696,
        0.00000005004,
        0.00000004561,
        0.00000005108,
        0.00000004597,
        0.00000004502,
        0.00000004559,
        0.00000006043,
        0.00000005079,
        0.00000005333,
        0.0000000544,
        0.00000005845,
        0.00000005448,
        0.00000005131,
        0.00000004374,
        0.00000004471,
        0.0000000441,
        0.00000004114,
        0.00000004269,
        0.00000004269,
        0.00000004076,
        0.00000004308,
        0.00000004392,
        0.00000004365,
        0.00000004469,
        0.00000004332,
        0.00000004016,
        0.00000004203,
        0.00000003902,
        0.00000003955,
        0.00000003945,
        0.00000004359,
        0.00000005325,
        0.00000004743,
        0.00000005334,
        0.00000003914,
        0.0000000374,
        0.00000004015,
        0.00000003733,
        0.00000003719,
        0.00000004998,
        0.00000003941,
        0.00000003629,
        0.00000004488,
        0.00000004487,
        0.00000004724,
        0.00000003566,
        0.00000003566,
        0.00000004241,
        0.0000000374,
        0.00000003762,
        0.00000004157,
        0.00000003518,
        0.00000003584,
        0.00000003636,
        0.00000003529,
        0.00000003573,
        0.00000004086,
        0.00000004527,
        0.00000003974,
        0.00000003913,
        0.00000003397,
        0.00000003967,
        0.00000003785,
        0.00000003785,
        0.00000003713,
        0.00000003713,
        0.00000003167,
        0.00000003167,
        0.00000004027,
        0.00000003454,
        0.000000037,
        0.00000003257,
        0.00000003858,
        0.00000003174,
        0.00000003287,
        0.00000004371,
        0.0000000322,
        0.00000003146,
        0.00000003544,
        0.00000004149,
        0.00000004004,
        0.00000003653,
        0.00000003162,
        0.00000003678,
        0.00000003135,
        0.00000003067,
        0.0000000297,
        0.00000003379,
        0.000000031,
        0.00000003007,
        0.00000002898,
        0.0000000317,
        0.00000002943,
        0.00000003935,
        0.00000003326,
        0.00000002837,
        0.00000003336,
        0.00000002896,
        0.00000002904,
        0.00000002774,
        0.00000002813,
        0.00000003318,
        0.0000000285,
        0.0000000301,
        0.00000003559,
        0.00000003563,
        0.0000000336,
        0.00000002703,
        0.00000002882,
        0.00000003267,
        0.00000003197,
        0.00000002907,
        0.00000002669,
        0.00000002869,
        0.00000002764,
        0.0000000261,
        0.00000002782,
        0.00000002826,
        0.00000002568,
        0.00000002628,
        0.00000003266,
        0.00000002545,
        0.0000000251,
        0.00000002554,
        0.0000000292,
        0.00000002992,
        0.00000002474,
        0.00000002474,
        0.00000002645,
        0.00000002597,
        0.00000002936,
        0.00000002535,
        0.00000002575,
        0.0000000296,
        0.00000002526,
        0.00000002819,
        0.00000002444,
        0.00000003165,
        0.00000003165,
        0.00000002684,
        0.00000002447,
        0.00000002447,
        0.00000002485,
        0.0000000281,
        0.00000002343,
        0.0000000327,
        0.00000002983,
        0.00000002301,
        0.00000002295,
        0.00000002789,
        0.00000002298,
        0.00000002626,
        0.00000002273,
        0.00000002621,
        0.00000002285,
        0.00000002204,
        0.00000002636,
        0.00000002222,
        0.00000002308,
        0.00000002203,
        0.00000002182,
        0.00000002502,
        0.00000002138,
        0.00000002142,
        0.00000002974,
        0.00000002136,
        0.00000002091,
        0.00000002094,
        0.0000000246,
        0.00000002461,
        0.00000002355,
        0.00000002153,
        0.00000002597,
        0.00000002604,
        0.00000002201,
        0.00000002162,
        0.00000002404,
        0.0000000226,
        0.00000002151,
        0.00000002123,
        0.00000002556,
        0.00000001998,
        0.00000001973,
        0.00000001973,
        0.00000001957,
        0.00000001957,
        0.00000001991,
        0.0000000194,
        0.00000002507,
        0.00000002352,
        0.00000002048,
        0.00000002647,
        0.00000001908,
        0.000000019,
        0.00000002178,
        0.00000001894,
        0.00000001892,
        0.00000001888,
        0.00000002182,
        0.0000000181,
        0.00000001925,
        0.00000002022,
        0.00000001793,
        0.00000002336,
        0.00000001992,
        0.0000000179,
        0.00000001779,
        0.00000001796,
        0.00000001974,
        0.00000001881,
        0.00000001773,
        0.00000002183,
        0.0000000225,
        0.00000002182,
        0.00000001835,
        0.00000002428,
        0.00000001996,
        0.00000001813,
        0.0000000198,
        0.0000000194,
        0.0000000191,
        0.00000002379,
        0.00000002068,
        0.00000001733,
        0.00000001824,
        0.00000001804,
        0.00000002037,
        0.00000001792,
        0.00000001681,
        0.00000001732,
        0.00000001698,
        0.00000001828,
        0.00000001713,
        0.00000001808,
        0.00000001911,
        0.00000001704,
        0.00000001688,
        0.00000001665,
        0.00000002097,
        0.00000001691,
        0.00000001699,
        0.00000001783,
        0.00000001796,
        0.00000001619,
        0.00000001652,
        0.00000001707,
        0.00000001924,
        0.0000000196,
        0.00000001599,
        0.00000001804,
        0.00000001586,
        0.00000001644,
        0.00000001572,
        0.00000002123,
        0.00000001948,
        0.00000001766,
        0.00000001565,
        0.00000001602,
        0.00000001546,
        0.00000001724,
        0.00000001531,
        0.00000001619,
        0.00000001871,
        0.00000001734,
        0.00000001732,
        0.00000001517,
        0.00000001563,
        0.0000000152,
        0.00000001687,
        0.00000001488,
        0.00000001587,
        0.00000001662,
        0.00000001724,
        0.00000001477,
        0.00000001657,
        0.0000000152,
        0.00000001443,
        0.00000001446,
        0.00000001446,
        0.0000000185,
        0.00000001439,
        0.00000001452,
        0.00000001874,
        0.00000001782,
        0.00000001639,
        0.00000001565,
        0.00000001395,
        0.00000001516,
        0.00000001684,
        0.00000001659,
        0.00000001514,
        0.00000001397,
        0.00000001747,
        0.00000001492,
        0.00000001354,
        0.00000001506,
        0.00000001365,
        0.00000001352,
        0.00000001352,
        0.00000001531,
        0.00000001783,
        0.0000000155,
        0.00000001524,
        0.00000001541,
        0.00000001578,
        0.00000001578,
        0.00000001732,
        0.0000000154,
        0.00000001323,
        0.00000001312,
        0.00000001724,
        0.00000001472,
        0.00000001296,
        0.00000001309,
        0.00000001818,
        0.0000000129,
        0.00000001334,
        0.00000001287,
        0.00000001392,
        0.00000001515,
        0.00000001247,
        0.00000001247,
        0.00000001246,
        0.00000001511,
        0.00000001479,
        0.00000001233,
        0.00000001632,
        0.00000001387,
        0.00000001352,
        0.00000001313,
        0.00000001236,
        0.00000001227,
        0.00000001304,
        0.00000001478,
        0.00000001254,
        0.0000000123,
        0.00000001385,
        0.00000001364,
        0.00000001395,
        0.00000001284,
        0.00000001435,
        0.00000001411,
        0.00000001191,
        0.00000001193,
        0.00000001197,
        0.00000001356,
        0.00000001356,
        0.00000001276,
        0.00000001195,
        0.00000001603,
        0.00000001191,
        0.00000001168,
        0.00000001165,
        0.00000001242,
        0.0000000133,
        0.0000000133,
        0.00000001154,
        0.0000000115,
        0.00000001152,
        0.00000001247,
        0.00000001387,
        0.0000000125,
        0.00000001328,
        0.00000001587,
        0.00000001176,
        0.00000001223,
        0.00000001161,
        0.0000000157,
        0.00000001303,
        0.00000001126,
        0.00000001534,
        0.00000001117,
        0.00000001307,
        0.00000001114,
        0.00000001118,
        0.00000001242,
        0.00000001397,
        0.00000001401,
        0.00000001139,
        0.00000001096,
        0.00000001092,
        0.00000001197,
        0.00000001126,
        0.00000001351,
        0.00000001165,
        0.00000001167,
        0.00000001121,
        0.00000001051,
        0.00000001053,
        0.00000001051,
        0.00000001288,
        0.00000001045,
        0.0000000107,
        0.00000001043,
        0.00000001033,
        0.00000001282,
        0.00000001167,
        0.000000011,
        0.00000001035,
        0.00000001091,
        0.00000001274,
        0.00000001079,
        0.00000001085,
        0.00000001245,
        0.00000001146,
        0.00000001196,
        0.00000001136,
        0.00000001119,
        0.00000001056,
        0.00000001032,
        0.00000001032,
        0.00000001039,
        0.00000001061,
        0.00000001123,
        0.00000001103,
        0.00000001015,
        0.00000000979,
        0.00000000979,
        0.00000001043,
        0.00000001128,
        0.00000001035,
        0.00000001072,
        0.00000001131,
        0.00000000986,
        0.00000001287,
        0.00000000973,
        0.00000001298,
        0.00000001151,
        0.00000001279,
        0.00000000963,
        0.00000001064,
        0.00000000973,
        0.00000001096,
        0.0000000108,
        0.000000012,
        0.00000000993,
        0.00000001039,
        0.00000000952,
        0.00000001181,
        0.00000001137,
        0.00000000941,
        0.00000000942,
        0.0000000102,
        0.00000001065,
        0.00000000945,
        0.00000000941,
        0.00000000996,
        0.00000001059,
        0.00000000936,
        0.00000000986,
        0.00000001061,
        0.00000000941,
        0.00000001049,
        0.00000000956,
        0.00000000922,
        0.0000000109,
        0.00000000945,
        0.00000000945,
        0.00000000906,
        0.00000000913,
        0.00000000993,
        0.00000000923,
        0.0000000091,
        0.00000001055,
        0.00000000891,
        0.0000000089,
        0.00000001011,
        0.00000000943,
        0.0000000124,
        0.0000000124,
        0.00000000975,
        0.00000000963,
        0.00000001131,
        0.00000001014,
        0.00000000922,
        0.00000000896,
        0.00000001121,
        0.00000000872,
        0.00000001164,
        0.0000000109,
        0.0000000118,
        0.00000000912,
        0.00000000892,
        0.00000000892,
        0.00000000985,
        0.0000000086,
        0.0000000099,
        0.00000001177,
        0.00000000864,
        0.00000001007,
        0.00000001007,
        0.00000000853,
        0.00000000993,
        0.00000000844,
        0.00000000846,
        0.00000000964,
        0.00000000981,
        0.00000001164,
        0.00000000885,
        0.00000000821,
        0.00000000906,
        0.00000000903,
        0.00000000841,
        0.00000000904,
        0.00000000822,
        0.00000000997,
        0.00000000879,
        0.00000000846,
        0.00000000846,
        0.00000000947,
        0.00000000875,
        0.00000001117,
        0.000000008,
        0.00000000839,
        0.00000000839,
        0.00000000838,
        0.0000000083,
        0.00000000841,
        0.00000000826,
        0.00000000854,
        0.00000000842,
        0.00000000858,
        0.0000000086,
        0.00000000785,
    ],
    [
        5.32917891541,
        2.70413999679,
        4.27396756341,
        3.76176749725,
        5.03696656027,
        1.95374338915,
        3.25876676291,
        2.91534956216,
        5.78983620425,
        5.87589622232,
        2.16159727865,
        3.63141659236,
        4.42042826334,
        3.29398145587,
        4.89424590805,
        4.62323431127,
        1.20474851114,
        3.51824365057,
        4.53241903621,
        3.29827125771,
        3.01391698262,
        4.74692264945,
        4.03963160527,
        2.10335699916,
        4.74242577082,
        3.61558352957,
        4.46375520442,
        2.9354398179,
        2.83240853648,
        1.03278600709,
        4.11221224874,
        4.07360530172,
        2.81952991155,
        5.31984150246,
        4.07245500326,
        2.53884637625,
        3.25277228789,
        3.28677124286,
        1.68013950973,
        3.273027786,
        1.79649482549,
        5.48701989649,
        2.40558615589,
        3.73180599039,
        0.46419209839,
        0.46330792664,
        3.49216178249,
        4.64285489428,
        0.83411182275,
        3.03310034622,
        3.88012638153,
        4.43729716045,
        1.31091242342,
        2.50576870008,
        2.81261932039,
        1.41831229286,
        0.33818120038,
        0.51354213126,
        1.9856971882,
        2.55020173482,
        3.84497584849,
        5.02323714134,
        4.58871940602,
        4.94395759972,
        3.17476222193,
        3.81271524339,
        5.03884679059,
        3.32272595203,
        4.73875446278,
        4.79907912774,
        5.470819149,
        4.55303572982,
        3.52791235957,
        2.03831166729,
        2.94972694776,
        4.89215133877,
        5.85503954683,
        2.85533132593,
        2.14121779282,
        1.17666971099,
        4.19607195732,
        2.23384913618,
        4.60405141742,
        2.2826892376,
        5.07000098007,
        1.16737882478,
        4.89660174852,
        0.79548009041,
        3.50532316923,
        0.58884669599,
        1.74484418656,
        1.132834618,
        5.5825480943,
        0.64654515892,
        1.50873501393,
        4.43314622304,
        1.98364017133,
        0.24051609787,
        4.46071700955,
        3.5934777922,
        2.81646625431,
        0.53562740874,
        3.86657932388,
        1.9250798839,
        4.64457398897,
        5.16049975639,
        0.07444798265,
        2.67981533571,
        5.89341892618,
        3.43189093041,
        3.37006198906,
        4.64994019967,
        0.14772881381,
        4.4458783563,
        3.78223230286,
        5.02251206802,
        4.69945913164,
        1.06394430192,
        0.92038060554,
        2.01815199316,
        1.56848256275,
        2.94611079491,
        0.66823863663,
        3.04782245643,
        5.97046820042,
        2.16098044416,
        5.84706089618,
        2.40576881332,
        3.21579900111,
        2.71780492845,
        2.83136566148,
        4.87825139023,
        2.0460100833,
        5.56318477713,
        2.40589233064,
        1.17561460871,
        2.01232380969,
        1.28213994555,
        6.01500032787,
        3.28644134532,
        3.9151567828,
        0.7092700313,
        5.98392277878,
        0.15397612176,
        1.50068457652,
        1.70318102108,
        0.47701797778,
        1.93414468084,
        6.05574583632,
        5.37674274043,
        0.52764897299,
        4.90814232105,
        4.60141274305,
        0.73842419997,
        3.1373823086,
        1.71469250601,
        1.11729387995,
        2.41573369601,
        1.43967739894,
        0.83698988794,
        6.0309346977,
        6.15403374919,
        3.44390490336,
        0.20089617421,
        3.27992928467,
        3.30962112459,
        2.74891631991,
        3.56151396455,
        1.75736763354,
        2.40833995336,
        2.93065048354,
        1.49924118883,
        0.66720972356,
        2.86226169724,
        2.25676507609,
        4.97299930649,
        1.58727129595,
        1.95606870146,
        2.68338567532,
        1.76632812482,
        3.14361310813,
        0.41831388362,
        0.91696357138,
        3.83078819944,
        5.42039296703,
        0.4406583279,
        1.74014879125,
        5.04094706317,
        5.7616039042,
        2.96069437842,
        0.3470522157,
        6.23334184252,
        6.27400713228,
        1.51516380602,
        1.08978230509,
        2.41157347334,
        5.0445900205,
        5.28731972971,
        3.62783678854,
        1.36935810506,
        0.6754238078,
        4.46708578473,
        0.68746998587,
        1.25223032785,
        5.60558897869,
        2.19047548175,
        2.89088740116,
        5.16474077315,
        5.90391742845,
        1.27392005885,
        4.41668443242,
        6.19397089476,
        1.75965892305,
        0.31898918015,
        4.30940153096,
        4.09379268805,
        1.17922364807,
        0.93604859842,
        0.39607313901,
        2.14089859356,
        1.30837397954,
        1.40746554167,
        5.79726117026,
        5.38503749099,
        1.07867972783,
        3.67609767645,
        0.6239582557,
        0.81273715463,
        0.2304445714,
        3.86314191833,
        2.81092945022,
        4.35733221797,
        2.65185710054,
        2.69371515649,
        0.80856131309,
        1.50128394987,
        6.0980747659,
        5.75754294461,
        1.64757033255,
        2.28916876539,
        4.1399588782,
        0.83533364902,
        1.41630051566,
        4.24070805056,
        2.99088916204,
        0.42973261435,
        6.18224013517,
        3.51804419384,
        3.63547565864,
        1.41600136615,
        5.49828745732,
        5.54564487364,
        0.3667718156,
        2.45859967105,
        1.40396872946,
        5.24458718751,
        2.16979732894,
        5.26652889356,
        1.28310720891,
        2.44842000288,
        3.34396844841,
        3.2925829069,
        5.95012841054,
        5.84256592114,
        3.52863763848,
        2.90337571001,
        3.11172042496,
        4.455919907,
        5.87114204897,
        3.36125223647,
        3.7423310332,
        1.91890218206,
        3.32302810096,
        6.1771230216,
        3.99739791776,
        1.20539425934,
        1.70449321765,
        5.35670142029,
        3.80256763164,
        5.90563873127,
        2.90948901796,
        1.87396327818,
        2.73724850309,
        5.19351531548,
        4.13905167455,
        4.44980749629,
        0.35334193612,
        5.6322574764,
        3.71856419261,
        4.60517305544,
        4.33821912194,
        6.26818148592,
        1.07119798583,
        1.64030810533,
        0.333797043,
        0.46228960012,
        3.68158411673,
        1.86360821642,
        2.39093241573,
        2.67260865639,
        6.02955183779,
        3.10475966052,
        4.63183796319,
        0.96104361429,
        6.22779956266,
        4.64972656382,
        0.42327996702,
        1.12205088158,
        1.30455477545,
        5.77275028636,
        3.68905633066,
        2.22202764942,
        1.87269751242,
        3.3380635806,
        4.95405745189,
        3.73906512638,
        2.97972992288,
        6.00385232407,
        1.25047898924,
        5.38272410647,
        4.98811886581,
        3.75258625939,
        5.93423402721,
        2.21693371299,
        1.93673292559,
        2.49266457872,
        4.88876925401,
        0.85813242995,
        1.73883852923,
        2.48384043874,
        1.76101820041,
        6.22232430384,
        5.25276003174,
        3.6514057377,
        4.6538073981,
        4.2670149651,
        5.22634156214,
        3.05839708528,
        3.68502527304,
        0.07984446041,
        0.76010615725,
        1.82233217301,
        2.47001157319,
        0.99488682955,
        1.13660537122,
        4.92169700962,
        4.02549503966,
        4.24959012167,
        1.76345867331,
        4.58759593895,
        3.2485080178,
        4.42656189319,
        2.73606095442,
        3.41892921748,
        0.2120882004,
        2.57833657495,
        2.76088492373,
        5.88163152868,
        5.32880327015,
        6.07595138018,
        0.26708370981,
        5.80527534922,
        5.36800138647,
        4.92833809216,
        1.22365645831,
        2.62845142458,
        4.70950406981,
        1.75114701217,
        1.31031161383,
        5.1288742034,
        4.84548447475,
        3.38574766621,
        2.36163965903,
        3.75743101287,
        0.88460862761,
        0.80662653956,
        4.76437370447,
        4.51706019623,
        5.30048466028,
        2.7307341599,
        2.85037947546,
        2.14963709425,
        4.28151996864,
        0.80678073222,
        6.15818049342,
        5.68487873505,
        6.15494704224,
        6.181542826,
        0.52437707771,
        0.46021438011,
        2.88309374002,
        2.68400913334,
        3.30634961501,
        4.03488999891,
        2.93320887736,
        5.89793163445,
        2.22929142122,
        1.65572129459,
        1.13994818513,
        4.27706558639,
        2.65613957745,
        3.38030516392,
        4.16368793873,
        1.17598268665,
        1.59987405703,
        4.61172057056,
        1.68565081278,
        0.86145365394,
        0.00151213347,
        0.86654919644,
        0.88148431656,
        1.1590683521,
        2.88284393514,
        2.23981845794,
        0.59831170486,
        2.41905049963,
        2.10271496997,
        2.16286795108,
        3.73032873272,
        3.18762880947,
        5.75334057605,
        1.43925082351,
        5.24566403741,
        2.83411309649,
        5.70976794256,
        1.00733061725,
        6.22401926042,
        3.59155053097,
        0.81596806036,
        2.33757896013,
        1.65947862448,
        4.30763849421,
        4.98329991415,
        5.23018796148,
        6.03735095188,
        2.30863250694,
        4.23528950033,
        1.29870798692,
        2.38189224267,
        1.93600980484,
        6.02714942107,
        6.1706793317,
        3.77133955917,
        6.17574800136,
        5.50051730143,
        4.64724104258,
        2.99211896084,
        5.61743026825,
        1.11525946892,
        1.59500149455,
        2.40736050441,
        0.93818716151,
        0.45259421413,
        0.91000084421,
        2.77271169877,
        1.81311259252,
        3.13369052026,
        5.16451756634,
        0.99533834681,
        5.97077260556,
        4.63572550497,
        3.39549331521,
        1.16627507303,
        6.01270486078,
        6.27572187728,
        4.69412415278,
        4.36224463614,
        3.68405106611,
        5.48803250441,
        4.94109471314,
        5.65267510028,
        0.93770342346,
        2.81752688518,
        4.02822362635,
        2.71102841423,
        0.70344873462,
        5.03830033679,
        5.71800943425,
        1.23172948855,
        2.28750450549,
        0.6172903053,
        0.0622372912,
        3.22636360944,
        1.32100485887,
        4.83743644153,
        0.67024965264,
        5.92682066634,
        3.66635509285,
        2.70813739263,
        1.21938058089,
        2.72039134579,
        5.76815989679,
        0.64870681722,
        4.63786966741,
        6.1687105894,
        0.23957822589,
        0.62601572639,
        1.89791339354,
        1.25539391636,
        1.63967789274,
        1.51892035057,
        0.06425626484,
        5.56366740468,
        2.24091480636,
        0.15524505071,
        3.1956978721,
        4.36470318246,
        4.20549686107,
        0.4933816322,
        2.31588446643,
        6.26836971962,
        1.84143196789,
        5.36910049865,
        5.57996257341,
        2.60807357538,
        5.22568875373,
        1.03216096696,
        3.85746519963,
        1.53556314147,
        2.02359582943,
        2.70517815683,
        1.83148011994,
        4.07802364782,
        2.23025483563,
        3.79263669972,
        0.85003521966,
        1.18177774441,
        2.6969197336,
        1.42294084476,
        4.53204115879,
        4.80642075418,
        6.22141011646,
        0.52549183195,
        0.63614657379,
        3.31636767466,
        3.14423865348,
        2.78876823876,
        5.55031494411,
        6.14565474272,
        5.91209030576,
        4.5924776217,
        0.55981749277,
        0.40749830647,
        5.59694447702,
        4.66247460443,
        0.22715156216,
        2.24120341965,
        4.78584287004,
        4.69658599509,
        5.3176710028,
        4.97655806515,
        4.2209190426,
        2.93926204397,
        2.23289517847,
        2.33382239586,
        2.51586258437,
        5.5756527628,
        1.28299868905,
        2.55458853045,
        6.02142949721,
        3.61115095966,
        3.46924321586,
        4.56197560432,
        0.35483179852,
        4.53479436807,
        6.20784254152,
        4.96496893225,
        0.71647686755,
        2.49806053768,
        3.3249635262,
        4.72035017193,
        2.88746700144,
        4.87604536178,
        2.89671334193,
        5.86032930399,
        5.02019963681,
        1.41712289631,
        4.11156199752,
        1.28803789298,
        0.98922990708,
        5.78563978576,
        1.73694976405,
        6.16970207201,
        0.41052536886,
        0.89802837117,
        0.88262512852,
        5.48131520562,
        4.13659867927,
        5.96327513578,
        0.50716798363,
        2.60807868236,
        2.73197794646,
        2.13947573521,
        3.23767790075,
        0.6733283499,
        4.84176894704,
        5.30062724864,
        1.93203325818,
        4.62553014647,
        4.26879116291,
        3.4342028139,
        3.81973806384,
        1.90486519028,
        3.43419228516,
        4.32049365009,
        1.00268679132,
        2.10025220587,
        1.86112467769,
        3.52339290743,
        0.64634843072,
        5.13145128922,
        0.66381570062,
        1.65073434579,
        4.2439304532,
        3.974738774,
        4.81585990964,
        6.22897484893,
        0.75661707085,
        3.32798868887,
        2.8544903604,
        2.52803626535,
        2.32307245332,
        0.62682090398,
        0.79071794025,
        2.81016019301,
        0.42468666289,
        6.21322173241,
        1.775736345,
        5.06662259586,
        1.55290898601,
        1.76770621435,
        5.24718021793,
        6.1451142834,
        3.85654775,
        4.70625558701,
        1.68660473943,
        4.31988845323,
        0.56973771336,
        3.90453406833,
        1.54641281756,
        3.34321334903,
        1.31032791644,
        3.17127497271,
        5.749157587,
        0.24934461993,
        4.41716427608,
        0.60801782045,
        0.57261157738,
        1.93152906917,
        5.64615902769,
        1.156581221,
        1.03898072401,
        0.252889635,
        1.78001375993,
        5.58242761895,
        5.01267010764,
        4.49823618185,
        2.39654845081,
        0.85780087675,
        2.92076786246,
        2.3173291283,
        0.86464264578,
        6.08094047039,
        3.80319784161,
        5.80815709862,
        1.21183260525,
        5.65475833423,
        3.65244152992,
        3.88615671076,
        3.98963199001,
        3.87784179007,
        3.47646509433,
        3.6334692016,
        1.12610213271,
        2.94323512572,
        5.08590694221,
        2.54048343101,
        4.51443750777,
        3.56256762785,
        0.03670214203,
        0.96762571552,
        0.95972917687,
        4.56679821042,
        5.22293191768,
        5.22293191768,
        3.99171190814,
        3.46331308399,
        4.0804043748,
        5.76915758065,
        6.1761281991,
        0.26998970662,
        1.80738955833,
        4.64437128047,
        1.4779264464,
        1.95606297169,
        6.10331223285,
        5.69235432976,
        2.85682305202,
        1.53693276386,
        1.50447120099,
        0.93422466156,
        1.85965388376,
        5.50585235368,
        4.49559449931,
        3.03209854172,
        0.73335994085,
        2.22306233592,
        5.12102350165,
        4.15581943535,
        5.62762637156,
        1.90262206941,
        5.51794372414,
        5.68626463817,
        0.37752300303,
        6.11907466746,
        0.31529112752,
        5.75219077219,
        4.51396179003,
        4.75992273689,
        3.04478377946,
        2.00455891511,
        5.66121874325,
        1.82630536023,
        5.14397632587,
        5.66197611508,
        2.38364538019,
        2.83739260393,
        0.9679236632,
        3.12442860953,
        0.19286826064,
        3.41879771076,
        6.0142115106,
        4.32289101961,
        2.04742119266,
        1.52079559528,
        1.32671223888,
        3.80619103257,
        0.65708777051,
        0.50775020289,
        5.49155326342,
        1.56495333708,
        2.70686770403,
        4.58520070805,
        1.38068483464,
        1.05909040328,
        5.14976993437,
        1.77726603611,
        4.42481035386,
        4.83120830404,
        1.7747786167,
        5.88078903892,
        6.09540618494,
        4.19827720301,
        3.03917076022,
        3.3348753509,
        5.51220884907,
        0.01982170402,
        0.85174846193,
        1.53656554024,
        5.96236809333,
        0.30775874593,
        5.11950364986,
        1.77549936222,
        4.43552932727,
        0.5397917638,
        1.89447201338,
        1.78410202569,
        2.79477418739,
        3.24222987427,
        1.78380089017,
        0.99874837499,
        2.90245872652,
        5.93132218114,
        0.26785782921,
        1.16831624482,
        0.41860834829,
        5.81588894214,
        5.35692253163,
        2.2216323477,
        3.09801371747,
        4.70036751558,
        0.77033226307,
        3.11527131409,
        3.50228669347,
        5.31653543667,
        1.10262291095,
        5.15088806631,
        4.67559134043,
        0.02097122599,
        1.20406313416,
        4.55303867764,
        3.84736035069,
        1.47452203681,
        3.00416254799,
        4.98643529599,
        3.12436033337,
        2.91854326993,
        6.06013592352,
        5.36116451799,
        5.53040699939,
        5.62135435218,
        4.86473762888,
        1.16911147253,
        4.41469563792,
        3.61652318226,
        5.35974909247,
        1.93459248812,
        3.30443135672,
        0.39355615225,
        0.67798398516,
        2.6925994302,
        4.05050226429,
        3.88442947901,
        5.73491115213,
        0.79333495865,
        0.87141749832,
        4.97743606169,
        0.16591257376,
        5.19152100527,
        3.07584535023,
        4.95537346995,
        3.36618810796,
        3.23694999728,
        2.258828515,
        0.08035255767,
        1.33635309255,
        5.264343721,
        2.20381387735,
        1.70932562812,
        4.96962008251,
        3.6729584475,
        1.86059485849,
        0.09633488682,
        1.48175809016,
        4.01695958431,
        2.69048880279,
        2.61505122332,
        4.21766601261,
        3.80036081443,
        1.13143123004,
        4.31607548596,
        2.27480359368,
        0.20887653741,
        0.48263618413,
        5.9355527706,
        5.9355527706,
        1.88008049503,
        4.43032838826,
        3.21307189614,
        5.25663119995,
        2.65329470104,
        6.24881770348,
        4.06152745485,
        4.76147886793,
        0.12814729866,
        6.03705716215,
        4.06754550587,
        0.3559100031,
        0.4254459365,
        4.1680616919,
        3.55179969067,
        6.06882136981,
        3.53266665825,
        0.23513424404,
        2.16572700191,
        4.72637850213,
        6.26965505442,
        5.05352053957,
        2.32401124803,
        0.30457466054,
        3.04466574791,
        1.13548842988,
        1.57760085679,
        6.05531697707,
        4.54338222029,
        5.87612999192,
        3.85597938492,
        0.30433035611,
        2.35952205044,
        3.29113609259,
        5.42029486787,
        1.19478791991,
        1.46891070255,
        1.70894571639,
        2.75083276977,
        2.13313396073,
        4.34157702192,
        1.84848967894,
        1.42831004195,
        0.28913908894,
        0.06510625472,
        1.11790351462,
        3.53177329067,
        0.02365635747,
        2.02033530101,
        1.05359353693,
        0.95076161618,
        0.59532463011,
        5.26065063725,
        1.81279771107,
        2.63111319426,
        0.65660514905,
        1.12530476318,
        5.05013070926,
        1.60077277494,
        3.62545973301,
        3.84274502894,
        5.19951356169,
        0.75596269901,
        0.99207081399,
        3.89912009234,
        4.07694835092,
        5.53483735553,
        1.14969049707,
        5.62555119479,
        0.51006487073,
        0.51006487073,
        5.02488186971,
        2.352714368,
        4.59247999326,
        2.96070791769,
        1.80265887785,
        0.57363342277,
        0.38193481035,
        5.42514671691,
        2.65454318605,
        2.77783863264,
        1.17281533398,
        1.93346454966,
        1.04722734848,
        1.95209864065,
        3.49856994945,
        1.5674197016,
        3.88182273784,
        0.38449878066,
        2.64505699779,
        3.87253065022,
        2.55455580038,
        1.16274372128,
        2.8065227609,
        1.93049464908,
        3.36648319866,
        3.10915621431,
        5.9623658349,
        2.10164527812,
        1.4978702148,
        6.04847231304,
        5.92819887567,
        3.52637633155,
        2.35701423791,
        0.81063561753,
        5.16810544385,
        3.96361938951,
        0.2613395805,
        2.75394419028,
        3.91497884985,
        0.97464731674,
        0.44130467758,
        4.497327446,
        1.57797933233,
        2.38369657059,
        1.34865027178,
        4.53650215705,
        3.38916042044,
        1.87781413537,
        2.41002467914,
        4.45248854943,
        1.39562373377,
        4.53721638736,
        6.14076145568,
        1.26904248346,
        1.9212770623,
        2.27419938832,
        4.94986707425,
        2.9532743658,
        0.63121659144,
        1.30941661635,
        4.79404702362,
        3.70049172953,
        4.01443566672,
        2.54546205453,
        2.36351221746,
        5.50510487105,
        3.52323843583,
        2.94846758267,
        1.67825090661,
        4.87572778682,
        2.80999692865,
        3.83948575721,
        3.83948575721,
        3.93116170567,
        1.01758536916,
        3.42851532207,
        1.60469270371,
        1.18238037517,
        6.17353804084,
        4.46546430995,
        1.6438870907,
        2.00294213618,
        3.95724484289,
        1.46965018009,
        2.31779507594,
        5.47014409814,
        1.66432337141,
        1.82079729948,
        0.83289385422,
        0.41970975707,
        4.46991640952,
        0.09177854194,
        1.91606789801,
        5.40582369615,
        1.12338267507,
        4.44054896906,
        0.44907719753,
        1.69845530894,
        0.99305838433,
        6.22199463081,
        2.10402662108,
        5.92854026664,
        1.12102777557,
        4.12461672205,
        4.20709137726,
        4.19221284065,
    ],
    [
        0.2438174835,
        426.8420083595,
        206.42936592071,
        220.6564599223,
        7.3573644843,
        640.1411037975,
        419.72846135871,
        433.9555553603,
        213.5429129215,
        110.45013870291,
        316.6356871401,
        227.77000692311,
        199.3158189199,
        205.9417309537,
        14.47091148511,
        103.3365917021,
        853.4401992355,
        209.6107596584,
        217.4750661846,
        216.72430665921,
        633.0275567967,
        210.36151918381,
        323.74923414091,
        647.25465079831,
        117.5636857037,
        202.4972126576,
        224.5886131854,
        213.0552779545,
        441.06910236111,
        11.2895177474,
        6.86972951729,
        309.0345051723,
        522.3336006103,
        95.7354097343,
        309.5221401393,
        149.8070146181,
        412.6149143579,
        198.82818395289,
        426.3543733925,
        220.16882495529,
        109.9625037359,
        277.2788112249,
        422.9098550964,
        330.8627811417,
        4.1759707466,
        1066.7392946735,
        234.8835539239,
        3.42521122121,
        415.7963080956,
        537.0483295789,
        423.66061462181,
        529.9347825781,
        860.55374623631,
        430.02340209721,
        846.3266522347,
        211.09523236671,
        215.99059347631,
        522.8212355773,
        412.12727939089,
        838.72547026689,
        437.8877086234,
        743.23387801611,
        96.2230447013,
        3.6883357796,
        223.83785366,
        625.42637482889,
        625.9140097959,
        316.14805217309,
        21.5844584859,
        1059.6257476727,
        88.6218627335,
        430.7741616226,
        124.6772327045,
        654.3681977991,
        515.2200536095,
        203.247972183,
        736.1203310153,
        86.07111631471,
        76.50988875911,
        742.74624304909,
        301.9209581715,
        529.44714761109,
        192.2022719191,
        1155.1173399235,
        302.40859313851,
        218.2087793675,
        231.70216018621,
        629.0954035336,
        941.8182444855,
        208.8770464755,
        728.5191490475,
        288.32451148881,
        18.40306474821,
        632.5399218297,
        203.9816853659,
        10.538758222,
        363.1061100561,
        223.1041404771,
        208.1262869501,
        218.9595388929,
        408.68276109481,
        138.76131435421,
        13.9832765181,
        52.446380556,
        201.01273994931,
        341.01470952831,
        948.9317914863,
        831.6119232661,
        350.5759370839,
        226.07308589371,
        210.6221516147,
        216.4636742283,
        195.38366565681,
        956.53297345411,
        127.22797912329,
        9.8050450391,
        160.852714882,
        207.913838629,
        1059.1381127057,
        1471.50920958009,
        636.2089505344,
        544.1618765797,
        219.171987214,
        22.3352180113,
        703.8770021009,
        202.0095776906,
        56.3785338191,
        750.3474250169,
        1258.21011414209,
        448.1826493619,
        142.6934676173,
        949.4194264533,
        845.8390172677,
        490.5779066629,
        433.46792039329,
        565.35950523021,
        209.35012722751,
        483.4643596621,
        217.73569861551,
        266.233110961,
        618.3128278281,
        515.70768857651,
        1280.0383901115,
        12.77399045571,
        1044.9110187041,
        419.2408263917,
        424.39432780471,
        270.1652642241,
        1265.32366114289,
        70.6056278207,
        1073.85284167431,
        106.5179854398,
        113.6315324406,
        497.69145366371,
        651.1868040614,
        643.32249753521,
        639.6534688305,
        1148.00379292269,
        191.45151239371,
        251.6759485593,
        107.2687449652,
        284.39235822571,
        191.7146369521,
        219.6932520758,
        636.95971005981,
        71.09326278771,
        344.9468627914,
        479.532206399,
        1787.9010792367,
        437.136949098,
        1574.6019837987,
        75.0254160508,
        1375.52998236229,
        98.6561710411,
        359.173956793,
        839.2131052339,
        207.3925737672,
        2.9375762542,
        417.2807808039,
        1162.23088692429,
        227.2823719561,
        235.6343134493,
        175.40987728371,
        416.547067621,
        114.38229196601,
        220.7046440321,
        209.12312469139,
        63.9797157869,
        1581.7155307995,
        337.9763281425,
        352.06040979221,
        429.28968891431,
        121.4958389668,
        151.2914873264,
        181.2995840071,
        4.9096839295,
        404.7506078317,
        554.31380496631,
        934.70469748469,
        63.49208081989,
        245.7862418359,
        99.40443843901,
        205.46615807421,
        867.6672932371,
        81.50831573269,
        621.98185653281,
        131.79077970531,
        1589.3167127673,
        1052.51220067191,
        1361.3028883607,
        10.8018827804,
        323.2615991739,
        194.89603068979,
        148.32254190981,
        644.0732570606,
        445.00125562421,
        214.2936724469,
        198.5650593945,
        842.3944989716,
        1464.3956625793,
        289.8089841971,
        206.3811818109,
        89.10949770051,
        265.745475994,
        276.79117625789,
        178.11819026941,
        212.79215339611,
        228.5207664485,
        275.7943385166,
        209.87388421679,
        78.9575693139,
        248.9676355736,
        1890.9938534553,
        102.84895673509,
        501.62360692681,
        2104.2929488933,
        729.0067840145,
        436.4032359151,
        414.31183538731,
        114.6429243969,
        215.0273856298,
        31.9995114309,
        1478.62275658089,
        355.99256305531,
        427.805216206,
        1691.9218520189,
        735.6326960483,
        405.5013673571,
        190.9638774267,
        278.76328393321,
        1898.10740045609,
        425.878800513,
        431.5078748055,
        69.3963417583,
        602.00806815971,
        618.8004627951,
        299.37021175271,
        917.1760975389,
        576.4052054941,
        319.8170808778,
        1251.0965671413,
        241.9971009247,
        422.1761419135,
        5.6604434549,
        313.4542934024,
        230.9514006608,
        508.10650660869,
        134.3415261241,
        426.8901924693,
        312.70353387701,
        320.5678404032,
        39.6006933987,
        421.4253823881,
        189.1638905333,
        327.68138740401,
        221.61966776881,
        98.91680347199,
        295.2950461377,
        205.67860639531,
        120.1144321225,
        956.04533848709,
        1780.78753223589,
        439.37218133171,
        6276.2061204741,
        1169.83206889211,
        1272.9248431107,
        778.6586006682,
        348.1282565291,
        212.05844021321,
        6290.4332144757,
        294.80741117069,
        74.53778108379,
        1677.6947580173,
        127.71561409031,
        10206.4158166937,
        696.7634551001,
        117.0760507367,
        237.9219353097,
        2207.38572311189,
        426.7938242497,
        10220.6429106953,
        15.2216710105,
        167.07249000551,
        415.3086731286,
        710.99054910171,
        525.7419968841,
        39.1130584317,
        1795.0146262375,
        106.0303504728,
        312.4429014461,
        182.5234242845,
        59.55992755679,
        87.555589023,
        196.2774375341,
        1162.7185218913,
        202.760337216,
        381.5954257209,
        432.471082652,
        2420.68481854989,
        536.5606946119,
        1376.0176173293,
        429.7627696663,
        852.9525642685,
        757.4609720177,
        661.4817447999,
        395.8225197225,
        97.11681657861,
        849.5080459724,
        91.8032564712,
        1272.4372081437,
        116.18227885939,
        129.6756596781,
        431.03479405351,
        144.39038864671,
        230.8083883089,
        374.15181032,
        2214.4992701127,
        1567.48843679789,
        216.9874312176,
        777.17412795991,
        1582.2031657665,
        305.5899868762,
        416.059432654,
        422.42222012939,
        333.9011625275,
        67.424234083,
        426.3207434977,
        221.40721944771,
        558.2459582294,
        28.6980054867,
        432.2586343309,
        196.8681383651,
        145.874861355,
        5849.1202946311,
        2008.3137216755,
        343.4623900831,
        216.2366716922,
        199.528267241,
        84.5866436064,
        206.9506307825,
        1155.6049748905,
        192.935985102,
        767.61290040431,
        618.0497032697,
        200.2095907972,
        99.6675629974,
        238.815707187,
        182.05034353251,
        572.473052231,
        20.850745303,
        9779.32999085069,
        185.2317372702,
        281.210964488,
        62.0076081116,
        188.41313100791,
        404.2629728647,
        153.73916788121,
        427.3632732213,
        212.27088853431,
        214.81493730871,
        5863.3473886327,
        227.557558602,
        244.5624015585,
        1265.81129610991,
        41.4006802921,
        143.9027536797,
        156.9205616189,
        563.87503252191,
        226.8762350458,
        159.36824217371,
        50.9619078477,
        131.6477673534,
        260.01333583751,
        46.71424039951,
        333.4135275605,
        637.69342324271,
        234.149840741,
        963.6465204549,
        64.97655352819,
        9793.5570848523,
        67.91186905,
        326.9306278786,
        45.3328335552,
        547.2002579655,
        2097.1794018925,
        241.8540885728,
        556.7614855211,
        238.6726948351,
        245.03548231051,
        212.6491410442,
        214.43668479881,
        206.47755003051,
        824.4983762653,
        423.17297965479,
        93.1846633155,
        347.6406215621,
        2523.7775927685,
        1588.82907780029,
        220.60827581251,
        78.2068097885,
        411.8641548325,
        646.76701583129,
        329.48137429739,
        60.52313540329,
        259.1195639602,
        174.1860370063,
        464.97504399731,
        273.34665796181,
        2111.40649589409,
        864.4858994994,
        627.61093082531,
        282.6954371963,
        942.3058794525,
        1493.3374855495,
        357.68948408471,
        134.8291610911,
        749.8597900499,
        267.71758366931,
        459.0853372739,
        23.81969071961,
        1287.15193711231,
        561.4273519671,
        224.1009782184,
        339.53023682,
        196.1344251822,
        638.65663108921,
        186.71620997851,
        82.13896305161,
        570.98857952271,
        526.7533888404,
        106.7811099982,
        1994.08662767389,
        171.8984151459,
        508.5941415757,
        1883.8803064545,
        295.4380584896,
        329.9690092644,
        334.7949344048,
        2737.0766882065,
        533.1161763158,
        215.8305347819,
        211.2552910611,
        193.8991929485,
        128.7124518316,
        427.5927678849,
        273.8222308413,
        30.7756711535,
        162.3371875903,
        53.93085326429,
        2530.8911397693,
        432.9923475138,
        856.62159297321,
        692.831301837,
        611.1992808273,
        113.89465699899,
        421.212934067,
        240.36961586451,
        1052.02456570489,
        258.6319289932,
        422.64922266551,
        137.2768416459,
        272.85902299479,
        423.9212470527,
        255.1874106971,
        100.1551979644,
        252.8997888367,
        489.0934339546,
        21.0968235189,
        342.4991822366,
        533.8669358412,
        108.0024581481,
        472.4186593982,
        29.44876501211,
        125.743506415,
        394.5986794451,
        24.1352049047,
        1898.5950354231,
        1905.2209474569,
        408.19512612779,
        650.436044536,
        518.8890823142,
        1471.9968445471,
        291.5059052265,
        167.9662618828,
        418.76525351221,
        405.0137323901,
        264.7486382527,
        486.64575339981,
        230.2176874779,
        551.27542358051,
        2324.70559133209,
        835.28095197081,
        138.2736793872,
        361.62163734781,
        1140.8902459219,
        1486.2239385487,
        225.3223263683,
        201.7634994747,
        33.6964324603,
        430.2865266556,
        492.06237937121,
        2840.1694624251,
        428.32648106781,
        32.48714639791,
        425.35753565121,
        364.5905827644,
        397.63706083091,
        850.25880549781,
        2413.5712715491,
        312.9666584354,
        1169.34443392509,
        1055.6935944096,
        2427.7983655507,
        504.8050006645,
        658.30035106221,
        526.2657538734,
        174.9222423167,
        292.2566647519,
        448.9334088873,
        434.0037394701,
        1692.40948698591,
        410.1672338031,
        832.0995582331,
        205.90810105891,
        215.2398339509,
        211.8459918921,
        370.2196570569,
        471.9310244312,
        320.0802054362,
        2119.00767786191,
        33.3809182752,
        77.9943614674,
        406.23508054,
        732.45130231059,
        440.5814673941,
        2200.2721761111,
        221.17772478411,
        16.9185920399,
        189.96703968541,
        245.2986068689,
        120.74507944141,
        215.1874443242,
        211.8983815188,
        203.5086046139,
        223.5772212291,
        224.8492456163,
        202.2365802267,
        38.3768531213,
        542.78046973539,
        170.2538837432,
        305.85311143459,
        135.5799206165,
        340.52707456129,
        10.051123255,
        1045.3986536711,
        629.846163059,
        553.82616999929,
        1066.2516597065,
        136.78920667889,
        494.510059926,
        466.1988842747,
        2221.6128171135,
        418.2439886504,
        409.4335206202,
        441.8198618865,
        731.70054278519,
        237.11878615761,
        407.1982883865,
        92.55401599659,
        1080.9663886751,
        105.76971804189,
        256.08118257441,
        426.0912488341,
        73.5409433425,
        467.9988711681,
        128.6093859676,
        1802.6158082053,
        6062.4193900691,
        2847.28300942589,
        84.6897094704,
        254.6997757301,
        220.7683345069,
        451.2210307477,
        519.15220687259,
        486.1581184328,
        388.70897272171,
        345.08987514331,
        511.2879003464,
        543.2681047024,
        54.89406111079,
        630.5798762419,
        815.3071635977,
        57.86300652739,
        5635.8211991931,
        857.3723524986,
        639.177895951,
        171.0046432686,
        3053.46855786309,
        9992.62908628869,
        721.40560204669,
        455.29619636271,
        641.104311644,
        738.814089786,
        92.2908914382,
        462.2667310116,
        2214.98690507971,
        419.77664546851,
        1685.2959399851,
        426.7301337749,
        468.4865061351,
        739.5648493114,
        77.7191748215,
        403.26613512341,
        198.0774244275,
        256.8319420998,
        420.6916692052,
        200.80029162821,
        226.28553421481,
        540.98048284201,
        207.1801254461,
        219.9057003969,
        2729.96314120569,
        297.9888049084,
        402.4629859713,
        714.92270236481,
        1485.7363035817,
        455.1531840108,
        503.1080796351,
        269.6776292571,
        131.16013238639,
        112.8978192577,
        283.9047232587,
        172.48911597691,
        525.514994348,
        593.67068088151,
        649.7023313531,
        478.0477336907,
        1457.2821155785,
        1596.43025976811,
        397.14942586389,
        9.3174100721,
        2310.4784973305,
        211.5708052462,
        927.5911504839,
        186.4555775476,
        1258.6977491091,
        5.1728084879,
        5650.0482931947,
        1382.64352936309,
        184.3379653929,
        233.1866328945,
        426.9538829441,
        980.91199584231,
        434.91876320681,
        1383.13116433011,
        9580.2579894143,
        42.78208713641,
        487.60896124631,
        149.3193796511,
        142.20583265029,
        724.5869957844,
        481.01667910731,
        348.8790160545,
        28.5549931348,
        28.0673581678,
        298.4764398754,
        141.46962733991,
        6489.5052159121,
        479.044571432,
        1788.38871420371,
        2744.1902352073,
        1368.9040703285,
        271.6497369324,
        254.5967098661,
        1048.8431719672,
        49.26498681829,
        642.58878435231,
        427.0544566806,
        518.40144734719,
        3156.5613320817,
        4.4220489625,
        419.6802772489,
        10419.7149121317,
        16.4309570729,
        71.8440223131,
        702.3925293926,
        240.6302482954,
        640.1892879073,
        200.52510498229,
        990.47322339791,
        411.3765198655,
        6077.1341190377,
        426.6295600384,
        163.1403367424,
        2641.0974609887,
        398.38782035631,
        25.516611749,
        206.54124050531,
        774.7264474051,
        175.6705097146,
        594.8945211589,
        183.85033042589,
        705.36147480921,
        420.2497262205,
        9566.03089541269,
        481.97988695381,
        842.65762352999,
        1575.08961876571,
        692.34366686999,
        355.50492808829,
        484.9488323704,
        457.8614969965,
        622.2449810912,
        5165.60650620771,
        2538.00468677009,
        267.22994870229,
        1127.50624756031,
        10007.3438152573,
        789.7043009321,
        760.4993534035,
        2001.68780964171,
        1194.21109128031,
        189.47940471839,
        152.77596003471,
        3046.3550108623,
        380.37158544351,
        144.1779403256,
        2008.8013566425,
        353.5448825005,
        6069.53293706989,
        1112.3159457122,
        91.54262404029,
        1802.12817323829,
        268.68079151581,
        3333.7426971825,
        97.9199657307,
        490.09027169589,
        258.78949556011,
        26081.03341205689,
        5216.33655531789,
        784.28767496071,
        206.3174913361,
        304.84171947829,
        1332.728588151,
        1048.0924124418,
        555.7982776746,
        1101.2702454483,
        3347.96979118411,
        9999.7426332895,
        372.77040347569,
        26095.2605060585,
        1037.7974717033,
        208.3894115085,
        552.829332258,
        2318.0796792983,
        910.0625505381,
        204.9448932124,
        222.14093263061,
        699.94484883781,
        393.70490756781,
        1130.47519297691,
        770.0605809591,
        835.5440765292,
        427.10264079041,
        392.9017584157,
        9146.54625153749,
        397.9001853893,
        1479.11039154791,
        721.8932370137,
        319.06881347989,
        3163.6748790825,
        37.88921815429,
        263.9454891006,
        140.2457870625,
        251.4153161284,
        694.31577454531,
        60.79832204921,
        60.3106870822,
        907.0936051215,
        185.08872491831,
        170.51700830159,
        921.3206991231,
        31.73638687251,
        190.6483632416,
        236.4374626014,
        1126.54303971381,
        2833.0559154243,
        460.7822583033,
        448.98829064149,
        78.4699343469,
        34.1840674273,
        2325.1932262991,
        349.0914643756,
        100.4012761803,
        1176.9456158929,
        282.9078855174,
        286.8400387805,
        69.12115511239,
        12.28635548869,
        187.67941782501,
        239.40640801801,
        2487.1722274643,
        213.00709384469,
        2516.66404576769,
        2531.3787747363,
        906.130397275,
        401.569214094,
        351.5727748252,
        350.08830211689,
        11926.01059618529,
        4127.5652170209,
        203.49405039889,
        264.2610032857,
        827.67977000299,
        51535.66517935089,
        41.2976144281,
        65.46418849521,
        629.35852809199,
        168.2963302829,
        617.5620683027,
        188.270118656,
        606.5163680388,
        274.30986580831,
        1062.80714141041,
        50.6463936626,
        50.15875869559,
        2090.06585489169,
        681.2979666061,
        1560.3748897971,
        9594.99527173989,
        74.3947687319,
        674.1844196053,
        1902.5271886862,
        200.27902676641,
        226.80679907661,
        2847.77064439291,
        17.6523052228,
        740.0524842784,
        348.3913810875,
        527.4871020233,
        184.6010899513,
        2957.48933064529,
        1243.98302014049,
        747.1660312792,
        1773.6739852351,
        2435.3995475185,
        3060.5821048639,
        393.2172726008,
        305.10235190919,
        81.9959506997,
        526.00262931501,
        72.090100529,
        25234.46294233869,
        511.7755353134,
        145.387226388,
        336.5949212982,
        2118.5200428949,
        1055.2059594426,
        739.30172475301,
        234.3959189569,
        306.34074640161,
        1144.0716396596,
        179.6026629777,
        746.67839631219,
        634.7244778261,
        366.2875037938,
        383.81610373959,
        2107.96197759801,
        10000.23026825651,
        247.4831628653,
        1680.87615175499,
        3472.9532017383,
        151.5039356475,
        6070.0205720369,
        141.9427080919,
        2920.8839653411,
        2634.47154895491,
        3369.8604275197,
        1314.5693408863,
        691.3468291287,
        1044.6478941457,
        141.208994909,
        179.9181771628,
        220.54458533771,
        1460.2003847578,
        480.00777927849,
        1534.9819833251,
        437.40007365639,
        184.97110483931,
        242.11472100371,
        1791.0824729744,
        938.63685074779,
        25668.17468021549,
        210.60759739969,
        252.4121538697,
        610.44852130189,
        610.93615626891,
        17.91542978119,
        398.5308327082,
        235.68919520349,
        746.15463932291,
        5481.9983758643,
        192.448350135,
        314.1880065853,
        561.6904765255,
        614.38067456499,
        905.64276230799,
        322.3678272966,
        782.59075393131,
        1372.3485886246,
        24.6228398717,
        731.92754532131,
        2906.6568713395,
        195.6467902152,
        6062.9070250361,
        1159.0494931866,
        239.8819808975,
        1468.3278158424,
        2.69149803831,
        124.18959773749,
        115.11600514891,
        196.3805033981,
        494.2348732801,
        121.0082039998,
        120.01136625851,
        4863.4417305527,
        25653.94758621389,
        307.07445958451,
        5842.0067476303,
        418.97770183331,
        97.17169833279,
        416.79314583689,
        141.4550731249,
        1364.4842820984,
        1151.93594618579,
        220.8689082434,
        206.2169175996,
        12779.6946129043,
        285.61619850311,
        73.0533083755,
        1048.58004740881,
        1250.83344258291,
        287.6938641699,
        4443.9570866775,
        952.3401877601,
        138.9043267061,
        1368.4164353615,
        105.7842722569,
        105.2966372899,
        700.90805668431,
        5378.90560164571,
        640.0929196877,
        246.68001371321,
        9772.21644384989,
        1571.1574655026,
        6467.68194047809,
        519.63984183961,
        739.0410923221,
        1699.0353990197,
        636.47207509279,
        31.2633061205,
        212.579705075,
        212.092070108,
        988.0255428431,
        1585.38455950421,
        3149.44778508089,
        1328.79643488791,
        12146.42323862409,
        685.2301198692,
        685.7177548362,
        2641.5850959557,
        2111.8941308611,
        1239.78774231901,
        2115.0755245988,
        756.56720014041,
        1471.2460850217,
        3391.68870348911,
        609.1216151605,
        388.2213377547,
        327.19375243699,
        477.2445845386,
        473.31243127551,
        635.4752373515,
        1365.23504162379,
        123.2958258602,
        3362.74688051889,
        227.81819103291,
        199.26763481011,
        222.6165055101,
        9993.1167212557,
        319.0833676949,
        834.7933170038,
        206.64181424181,
        220.44401160121,
        2442.5130945193,
        1891.4814884223,
        60.04756252381,
        220.1351950605,
        540.2297233166,
        2854.3965564267,
        781.8399944059,
        5436.7491977567,
        3494.2938427407,
    ],
];

pub(crate) const Y2: [[f64; 511]; 3] = [
    [
        0.0086272193,
        0.00611630287,
        0.00561413805,
        0.0054727137,
        0.00234984093,
        0.00088108317,
        0.00050142527,
        0.00045054746,
        0.00033335009,
        0.00027185514,
        0.00018651786,
        0.00012946617,
        0.00010383025,
        0.00006684574,
        0.00004661903,
        0.00004933834,
        0.00004778577,
        0.00004377928,
        0.00003532396,
        0.00002688895,
        0.00002540548,
        0.00002540549,
        0.00002506252,
        0.00002582753,
        0.00002111683,
        0.00002306046,
        0.00001843706,
        0.00001272298,
        0.00000940336,
        0.0000080498,
        0.00000698973,
        0.0000065301,
        0.00000766827,
        0.00000662176,
        0.00000565841,
        0.00000765788,
        0.00000672412,
        0.00000490992,
        0.00000440264,
        0.00000426768,
        0.00000427613,
        0.00000505832,
        0.00000559499,
        0.00000439569,
        0.00000404335,
        0.00000400108,
        0.00000338086,
        0.00000310691,
        0.0000035634,
        0.00000268315,
        0.00000265067,
        0.00000249792,
        0.00000244377,
        0.0000030565,
        0.0000026349,
        0.00000243362,
        0.00000228016,
        0.00000208205,
        0.00000262941,
        0.00000217559,
        0.00000204218,
        0.00000207097,
        0.00000226266,
        0.00000164818,
        0.00000154166,
        0.00000159821,
        0.00000127987,
        0.00000150521,
        0.00000109809,
        0.00000107126,
        0.00000125246,
        0.00000119913,
        0.0000009587,
        0.00000093192,
        0.00000082653,
        0.00000080395,
        0.00000086059,
        0.00000078439,
        0.00000095719,
        0.00000069822,
        0.00000088159,
        0.00000062703,
        0.00000061768,
        0.00000059007,
        0.00000057483,
        0.00000068064,
        0.00000073156,
        0.00000066143,
        0.00000046643,
        0.00000046381,
        0.00000049127,
        0.00000045075,
        0.00000045874,
        0.00000039597,
        0.00000037898,
        0.00000044466,
        0.00000034788,
        0.00000032598,
        0.00000033292,
        0.00000041206,
        0.00000032714,
        0.00000041218,
        0.00000036847,
        0.00000028979,
        0.00000030445,
        0.00000038514,
        0.00000033922,
        0.0000002974,
        0.00000034418,
        0.0000003192,
        0.00000035309,
        0.00000026923,
        0.00000026272,
        0.0000002594,
        0.00000029423,
        0.00000026782,
        0.00000024375,
        0.00000025294,
        0.00000023209,
        0.00000022169,
        0.00000023117,
        0.0000002135,
        0.00000022067,
        0.00000022088,
        0.00000020601,
        0.00000020035,
        0.00000026634,
        0.00000020249,
        0.00000019318,
        0.00000017591,
        0.00000018938,
        0.00000021595,
        0.00000020105,
        0.00000021565,
        0.00000016938,
        0.00000016497,
        0.0000002136,
        0.00000019384,
        0.00000015417,
        0.00000016591,
        0.00000016177,
        0.00000014854,
        0.00000019063,
        0.00000018723,
        0.00000018567,
        0.00000014166,
        0.00000017119,
        0.00000018888,
        0.00000013506,
        0.00000017909,
        0.00000013747,
        0.00000014401,
        0.00000016878,
        0.00000013527,
        0.00000013436,
        0.00000012962,
        0.00000015865,
        0.00000013136,
        0.00000012088,
        0.00000012658,
        0.00000012303,
        0.00000011905,
        0.00000012624,
        0.00000012885,
        0.00000012454,
        0.00000012341,
        0.00000011182,
        0.0000001086,
        0.00000010568,
        0.00000010726,
        0.00000013731,
        0.00000011066,
        0.00000010568,
        0.00000011834,
        0.00000013045,
        0.00000012746,
        0.00000011214,
        0.00000011539,
        0.00000012236,
        0.00000009934,
        0.00000010182,
        0.00000009148,
        0.00000009436,
        0.00000008422,
        0.00000008359,
        0.00000008253,
        0.00000009478,
        0.00000010785,
        0.00000008229,
        0.00000007715,
        0.0000000847,
        0.00000007922,
        0.00000007332,
        0.00000007694,
        0.00000008936,
        0.00000009236,
        0.00000007408,
        0.00000007006,
        0.00000008885,
        0.00000006858,
        0.00000006727,
        0.00000006237,
        0.0000000644,
        0.00000008565,
        0.00000007708,
        0.00000006384,
        0.00000007986,
        0.00000005697,
        0.00000005771,
        0.00000005568,
        0.00000006666,
        0.00000006258,
        0.00000005194,
        0.00000005192,
        0.00000006155,
        0.00000005311,
        0.00000006053,
        0.00000006283,
        0.0000000555,
        0.00000006169,
        0.00000004641,
        0.00000004643,
        0.00000004944,
        0.00000004821,
        0.00000004551,
        0.00000004644,
        0.00000004204,
        0.00000004172,
        0.00000004304,
        0.00000004123,
        0.00000004456,
        0.00000005291,
        0.00000004026,
        0.0000000528,
        0.00000004248,
        0.00000003877,
        0.00000003948,
        0.00000004047,
        0.00000003924,
        0.00000004377,
        0.00000003858,
        0.00000003847,
        0.00000005256,
        0.00000005054,
        0.00000004175,
        0.0000000415,
        0.0000000376,
        0.00000004966,
        0.0000000488,
        0.00000004042,
        0.00000004914,
        0.00000003672,
        0.00000004671,
        0.00000003483,
        0.000000037,
        0.000000043,
        0.00000003599,
        0.00000003544,
        0.00000003267,
        0.00000003574,
        0.00000003416,
        0.00000003394,
        0.00000003544,
        0.00000003999,
        0.00000003152,
        0.00000003262,
        0.00000003054,
        0.0000000335,
        0.0000000334,
        0.00000003138,
        0.00000003732,
        0.00000003741,
        0.00000003047,
        0.00000003048,
        0.00000002851,
        0.00000002864,
        0.00000002898,
        0.00000002898,
        0.00000002819,
        0.00000003469,
        0.00000003327,
        0.00000002927,
        0.00000003762,
        0.00000002893,
        0.00000003707,
        0.00000002804,
        0.00000002799,
        0.00000003378,
        0.00000002783,
        0.00000003526,
        0.00000002541,
        0.00000002607,
        0.00000002465,
        0.00000002461,
        0.00000002462,
        0.00000002579,
        0.00000002414,
        0.00000002533,
        0.0000000239,
        0.00000002433,
        0.00000002747,
        0.0000000242,
        0.00000002297,
        0.00000002813,
        0.00000002913,
        0.0000000286,
        0.00000002387,
        0.00000002258,
        0.00000002293,
        0.00000002711,
        0.00000002337,
        0.00000002777,
        0.00000003022,
        0.00000002327,
        0.00000002152,
        0.00000002147,
        0.00000002162,
        0.00000002184,
        0.00000002297,
        0.00000002099,
        0.00000002122,
        0.00000002068,
        0.00000002635,
        0.00000002175,
        0.00000002049,
        0.00000002103,
        0.00000002036,
        0.00000002045,
        0.00000001996,
        0.00000002709,
        0.00000002499,
        0.00000002481,
        0.00000002555,
        0.00000002555,
        0.00000002082,
        0.00000002231,
        0.00000002095,
        0.0000000192,
        0.0000000191,
        0.00000002301,
        0.00000002228,
        0.00000002219,
        0.00000002444,
        0.0000000195,
        0.00000001941,
        0.000000019,
        0.00000002353,
        0.00000001819,
        0.00000001992,
        0.00000001805,
        0.00000002272,
        0.00000001823,
        0.00000002143,
        0.00000001841,
        0.00000001834,
        0.00000001777,
        0.00000002138,
        0.00000001887,
        0.0000000239,
        0.00000001825,
        0.0000000173,
        0.00000002103,
        0.00000001779,
        0.00000001911,
        0.00000001811,
        0.0000000171,
        0.00000002261,
        0.00000001681,
        0.00000002093,
        0.00000002071,
        0.00000001691,
        0.0000000208,
        0.00000001764,
        0.00000001662,
        0.00000001748,
        0.00000001696,
        0.00000002142,
        0.00000002282,
        0.00000001748,
        0.00000001908,
        0.00000001808,
        0.00000001794,
        0.00000002167,
        0.00000001602,
        0.00000001891,
        0.00000002205,
        0.00000001597,
        0.00000001719,
        0.00000002158,
        0.00000001659,
        0.00000001737,
        0.00000001501,
        0.00000001587,
        0.00000001488,
        0.0000000146,
        0.00000001835,
        0.00000001708,
        0.00000001842,
        0.00000001895,
        0.00000001423,
        0.00000001423,
        0.00000001568,
        0.00000001663,
        0.00000001491,
        0.00000001913,
        0.00000001496,
        0.00000001477,
        0.0000000141,
        0.00000001748,
        0.00000001325,
        0.00000001352,
        0.00000001414,
        0.00000001697,
        0.00000001424,
        0.00000001424,
        0.00000001295,
        0.00000001272,
        0.0000000174,
        0.00000001435,
        0.0000000126,
        0.00000001316,
        0.00000001303,
        0.00000001701,
        0.00000001245,
        0.0000000124,
        0.00000001286,
        0.0000000124,
        0.00000001365,
        0.00000001362,
        0.00000001206,
        0.00000001503,
        0.00000001305,
        0.00000001167,
        0.00000001167,
        0.00000001155,
        0.0000000122,
        0.00000001153,
        0.00000001188,
        0.00000001558,
        0.00000001423,
        0.00000001138,
        0.00000001133,
        0.00000001109,
        0.00000001109,
        0.00000001434,
        0.00000001122,
        0.00000001123,
        0.00000001154,
        0.0000000113,
        0.00000001305,
        0.00000001248,
        0.00000001161,
        0.00000001178,
        0.00000001342,
        0.00000001249,
        0.00000001034,
        0.00000001332,
        0.00000001024,
        0.00000001173,
        0.00000001173,
        0.00000001012,
        0.00000001186,
        0.00000001049,
        0.00000001154,
        0.00000001062,
        0.00000001124,
        0.00000000993,
        0.00000000986,
        0.00000000986,
        0.00000000992,
        0.00000001239,
        0.00000001134,
        0.00000001041,
        0.00000001025,
        0.00000001044,
        0.00000001335,
        0.00000001199,
        0.00000001174,
        0.00000001213,
        0.00000000973,
        0.00000000973,
        0.00000001167,
        0.00000000936,
        0.00000001073,
        0.00000000931,
        0.00000000931,
        0.00000001237,
        0.00000001074,
        0.00000000976,
        0.00000000907,
        0.00000000925,
        0.00000000999,
        0.00000000931,
        0.00000001094,
        0.00000000949,
        0.00000000964,
        0.00000000947,
        0.00000000898,
        0.00000001029,
        0.00000000989,
        0.00000001003,
        0.00000000886,
        0.0000000092,
        0.00000000888,
        0.00000000888,
        0.0000000096,
        0.00000000881,
        0.00000000924,
        0.0000000096,
        0.00000000886,
        0.00000000909,
    ],
    [
        0.87622130189,
        0.71399818143,
        5.96728319816,
        2.04588665465,
        0.87581308687,
        3.29758949735,
        1.12650721735,
        5.06577813923,
        0.01047584776,
        1.92525242054,
        1.59992516931,
        6.11930195692,
        3.18830710215,
        4.0962007995,
        0.26368341105,
        1.51097568839,
        0.24213059962,
        3.6694615593,
        5.48934411728,
        1.58317658973,
        1.07874150891,
        0.15899514683,
        3.11588688157,
        0.02782240807,
        4.98775349171,
        5.24765858946,
        2.39971312535,
        4.96900516981,
        2.42501300855,
        1.7859018949,
        0.77208908956,
        5.01381847221,
        5.79919197548,
        0.42004956009,
        1.5541989049,
        2.28516505694,
        5.85676090936,
        0.10668768793,
        2.02435630765,
        5.42227433044,
        5.71584342304,
        5.83465733982,
        5.12833446634,
        3.04587045996,
        1.38184466479,
        0.64688754335,
        4.72348149737,
        2.86856110459,
        0.50093637409,
        0.90238113501,
        5.80890278675,
        2.21289242997,
        0.2470261537,
        4.7478952219,
        1.7571978115,
        0.01260786807,
        4.72661469203,
        0.02609578112,
        2.24919351561,
        3.69816995653,
        0.74740242459,
        0.47214424781,
        0.43162189178,
        1.21105459258,
        0.52313104707,
        3.57691788014,
        4.67133129306,
        5.90883755804,
        0.87108590696,
        2.60669435864,
        1.70701686068,
        5.60277656541,
        2.1261618305,
        0.34445551196,
        0.98307709174,
        3.02174862119,
        5.7830821452,
        2.37542883243,
        5.10971036152,
        4.50382031149,
        3.12349955672,
        3.46541693301,
        0.31223820367,
        2.35866131486,
        3.58195443098,
        1.33121226452,
        4.57295172048,
        0.61450499024,
        4.3990834473,
        1.16571256843,
        2.41446662828,
        2.04400929715,
        4.71561784201,
        4.9014900027,
        3.62258524288,
        5.29067071105,
        6.24281796552,
        0.67708460723,
        5.12527889351,
        5.63757151016,
        5.53677499538,
        5.90724265736,
        4.86141709685,
        2.88486726124,
        1.28493169701,
        0.59603887895,
        0.59559025853,
        3.7616681067,
        6.09770226922,
        1.14730009415,
        3.07697728911,
        1.15025307434,
        0.57392625326,
        0.39280055678,
        3.94515878782,
        4.26801091908,
        1.0593338175,
        3.01418609936,
        5.71293607821,
        5.57360559022,
        1.43000944484,
        2.23904444472,
        3.22469653238,
        3.66393393785,
        0.57364692423,
        4.14035560282,
        4.29832630822,
        5.80067112008,
        5.28106463151,
        5.18296940913,
        1.44732055781,
        4.07617789654,
        0.54192980606,
        2.45978600148,
        1.31185513413,
        3.14108050084,
        0.36044575923,
        5.02948605381,
        1.59544409554,
        6.11245153858,
        4.47207109523,
        5.83097043394,
        0.50919845943,
        1.2292512046,
        4.58722431937,
        5.14705983766,
        5.54902094563,
        4.20468772536,
        2.46884301371,
        5.34068384361,
        0.539807478,
        5.13574388998,
        1.1888668578,
        4.54185459719,
        2.93238200114,
        5.56740362933,
        1.01845623601,
        0.57265499079,
        5.67052895035,
        4.99618012837,
        2.19066167059,
        4.76438580603,
        4.35576033147,
        5.28091161489,
        0.80444795613,
        1.99603261002,
        0.00456461469,
        1.22452077861,
        4.31488618104,
        4.07799467328,
        5.49770812826,
        4.06922769849,
        2.45354520533,
        4.04162936965,
        4.5668328548,
        1.52919279431,
        0.69012319111,
        5.2620421559,
        6.03310641164,
        5.72889650913,
        4.02484159335,
        3.88097207377,
        4.83010917251,
        0.17788593244,
        3.00746750344,
        5.57801256284,
        0.55087151701,
        4.05427228564,
        5.11025535831,
        2.36462770264,
        1.44876764278,
        1.18690846899,
        1.23083436431,
        0.25064967436,
        4.75203536861,
        0.11752949743,
        2.61049213458,
        5.43604871599,
        5.06228722175,
        5.72884043764,
        5.2979398006,
        0.59505976047,
        3.78505540532,
        1.73194061326,
        4.22643181375,
        4.83193390171,
        3.15525042033,
        4.23986450365,
        0.86134691305,
        3.42931800801,
        5.54479786218,
        1.84744097041,
        4.52702758406,
        4.69562106653,
        3.58871751165,
        1.21158575749,
        1.30195529044,
        5.50104105259,
        5.07411282467,
        3.68737408715,
        3.65270609087,
        0.07371316206,
        3.82470392475,
        0.48227334704,
        0.43418901577,
        2.92326284592,
        5.5141310562,
        5.34743985805,
        5.72099336768,
        2.58679021252,
        4.56839890878,
        6.15232066316,
        4.45906345257,
        5.68255683303,
        1.99938037336,
        4.60548911797,
        3.95821618688,
        3.67831038408,
        2.82058266387,
        1.51247705161,
        4.98661199042,
        3.25070592611,
        6.27523841381,
        5.98297127509,
        1.22869956774,
        5.64863928594,
        2.6880027175,
        1.12070430834,
        3.70286182159,
        1.45643909331,
        1.41648464476,
        5.52203210982,
        4.79630546138,
        3.63502959369,
        4.27862787379,
        4.48648057472,
        2.97275381758,
        3.88355984367,
        2.77536057636,
        4.37725311704,
        0.18832491676,
        1.52845073217,
        0.55935420202,
        1.65622001101,
        5.90994469916,
        0.99529440929,
        2.50692121176,
        3.78153899621,
        1.11106690501,
        5.41161067084,
        5.759336638,
        5.33542182003,
        0.21958282546,
        1.23176928659,
        0.01947979319,
        1.37901080071,
        0.80640653869,
        4.08606578636,
        4.62496885979,
        3.39462934689,
        4.72501626019,
        0.75688922418,
        5.33741882811,
        4.68179275926,
        0.28876454398,
        1.54781529217,
        1.64426930831,
        0.03634726419,
        4.12159252831,
        4.64846209915,
        3.72750148868,
        5.40709902081,
        5.81538596066,
        2.38415136907,
        0.41590882019,
        3.41605150344,
        4.38756196239,
        2.34096298657,
        0.78788852748,
        1.96229119408,
        5.20221540877,
        6.19374294302,
        4.18882853069,
        4.09700943877,
        0.57159915913,
        4.18470915906,
        2.09096895837,
        1.85441482871,
        5.87858665828,
        5.95954660965,
        3.41538474921,
        0.35017301148,
        5.84737063031,
        4.00268284025,
        3.39690921596,
        1.10129984315,
        3.02953405239,
        3.41242359251,
        4.31295262287,
        2.0610050047,
        4.75342370868,
        2.33266360886,
        5.89696027686,
        4.05922699845,
        2.54249741628,
        1.50326611692,
        5.63434399596,
        2.97922154502,
        0.02214888903,
        1.33128572135,
        5.48814423722,
        3.81894500619,
        6.20493162777,
        4.967879846,
        2.24744287595,
        3.6209351746,
        4.31580761873,
        6.22028733359,
        4.09848069601,
        4.90677041319,
        4.84472911427,
        0.03409249836,
        1.01754308284,
        4.34886592902,
        1.80523291314,
        4.76624814243,
        6.10168291345,
        1.46865726367,
        3.25021395969,
        1.41126788033,
        4.49997759337,
        3.75716328579,
        0.94827482019,
        5.18057670314,
        5.98123022671,
        4.24421513244,
        3.72480039128,
        3.3782553974,
        5.29068620866,
        0.29367232391,
        4.70941820611,
        4.16707885187,
        1.21791991667,
        0.45079864675,
        5.74280960496,
        4.07545471254,
        1.53982829642,
        0.2716441271,
        3.09304115315,
        0.57780048368,
        0.86915956975,
        4.93280502131,
        1.22791859864,
        3.65838163965,
        1.78978347421,
        0.02813095646,
        3.56494929765,
        0.47292670815,
        2.40026034305,
        4.56312338515,
        4.08414705157,
        4.25056477507,
        4.61051989673,
        1.84763847168,
        1.79946288763,
        5.85470490114,
        4.15810623296,
        1.15830791285,
        2.28726893212,
        4.74001893135,
        0.17490306013,
        0.25666873016,
        3.94775538143,
        2.7209683974,
        2.11177924228,
        2.89416763419,
        3.71608804699,
        1.98442548678,
        3.47648673336,
        5.61838953778,
        5.55442193599,
        4.88514907741,
        0.82161037585,
        0.52011503386,
        0.07515794396,
        1.53621258084,
        0.63538013406,
        2.2817438572,
        5.19272444741,
        1.41732134877,
        0.82085755018,
        1.50139243083,
        4.54037425682,
        4.89243708936,
        1.75084443577,
        0.66380326238,
        4.15261431749,
        4.55214034273,
        0.26851729343,
        5.67254228493,
        2.05653832811,
        2.77196448848,
        1.44281649853,
        2.2443978633,
        2.86058076462,
        3.69806111108,
        4.7715381832,
        0.95560209763,
        3.93431918921,
        3.84953492409,
        5.21115384219,
        1.5724242475,
        1.86683877227,
        3.02278739432,
        0.5239801134,
        6.0805821369,
        6.21046784748,
        2.94352017149,
        4.67220714738,
        3.77197308459,
        0.76214399254,
        2.84505877314,
        1.05776040432,
        0.17173305113,
        3.90656801196,
        2.45857726727,
        3.06803578936,
        4.32058575911,
        5.25611734741,
        2.2526224959,
        3.82251460637,
        2.2584072315,
        0.70097671757,
        5.62104702567,
        4.92175219077,
        4.56345495168,
        4.90721267162,
        6.03631011372,
        4.16447862889,
        3.45615871164,
        2.86472380431,
        3.42680148463,
        1.32104580559,
        3.31945570971,
        3.40252606572,
        0.61967036641,
        1.99202380463,
        6.21774784663,
        5.89248361654,
        0.16374858268,
        4.40402775047,
        3.08772580443,
        2.53935646805,
        3.08133309612,
        1.56254364362,
        4.80329987516,
        4.40804047285,
        4.67336952922,
        0.28347383353,
        1.75775518324,
        6.27346363694,
        6.08159477667,
        3.32125427673,
        3.85483987093,
        1.55716679047,
        2.65028378733,
        1.19959870124,
        5.00882181931,
        6.18216851835,
        3.58111072001,
        2.76573994536,
        4.06676744721,
        4.76188288294,
        3.85667770199,
        3.82779842438,
        2.57800328808,
        5.94253987889,
        1.16267053643,
        3.26133516597,
        3.95452500658,
        4.46395476902,
        0.72851955442,
        1.69743225247,
        1.37138485948,
        4.51297751307,
        0.18926013762,
        0.6360209308,
        5.2130117135,
        2.83183840474,
        0.13702548516,
        1.30383200776,
    ],
    [
        213.5429129215,
        0.2438174835,
        206.42936592071,
        220.6564599223,
        426.8420083595,
        7.3573644843,
        433.9555553603,
        419.72846135871,
        640.1411037975,
        227.77000692311,
        213.0552779545,
        199.3158189199,
        14.47091148511,
        110.45013870291,
        647.25465079831,
        216.72430665921,
        210.36151918381,
        316.6356871401,
        853.4401992355,
        209.6107596584,
        441.06910236111,
        217.4750661846,
        117.5636857037,
        103.3365917021,
        633.0275567967,
        205.9417309537,
        323.74923414091,
        412.6149143579,
        6.86972951729,
        234.8835539239,
        95.7354097343,
        198.82818395289,
        202.4972126576,
        426.3543733925,
        220.16882495529,
        224.5886131854,
        309.5221401393,
        109.9625037359,
        330.8627811417,
        11.2895177474,
        860.55374623631,
        309.0345051723,
        102.84895673509,
        21.5844584859,
        223.83785366,
        430.02340209721,
        1066.7392946735,
        3.42521122121,
        422.9098550964,
        88.6218627335,
        423.66061462181,
        4.1759707466,
        654.3681977991,
        419.2408263917,
        124.6772327045,
        96.2230447013,
        522.3336006103,
        192.2022719191,
        522.8212355773,
        412.12727939089,
        149.8070146181,
        625.9140097959,
        203.247972183,
        537.0483295789,
        302.40859313851,
        529.9347825781,
        515.2200536095,
        301.9209581715,
        277.2788112249,
        10.538758222,
        437.8877086234,
        625.42637482889,
        13.9832765181,
        430.7741616226,
        448.1826493619,
        231.70216018621,
        742.74624304909,
        415.7963080956,
        846.3266522347,
        838.72547026689,
        743.23387801611,
        728.5191490475,
        3.6883357796,
        316.14805217309,
        18.40306474821,
        736.1203310153,
        735.6326960483,
        529.44714761109,
        831.6119232661,
        544.1618765797,
        515.70768857651,
        195.38366565681,
        408.68276109481,
        1073.85284167431,
        1059.6257476727,
        941.8182444855,
        363.1061100561,
        433.46792039329,
        191.7146369521,
        618.3128278281,
        1059.1381127057,
        636.2089505344,
        223.1041404771,
        113.6315324406,
        56.3785338191,
        86.07111631471,
        437.136949098,
        270.1652642241,
        643.32249753521,
        337.9763281425,
        203.9816853659,
        131.79077970531,
        750.3474250169,
        76.50988875911,
        1280.0383901115,
        1155.1173399235,
        81.50831573269,
        483.4643596621,
        867.6672932371,
        288.32451148881,
        227.2823719561,
        160.852714882,
        1044.9110187041,
        70.6056278207,
        22.3352180113,
        1148.00379292269,
        1052.02456570489,
        416.547067621,
        497.69145366371,
        629.0954035336,
        107.2687449652,
        490.5779066629,
        839.2131052339,
        956.53297345411,
        89.10949770051,
        106.5179854398,
        845.8390172677,
        1258.21011414209,
        241.9971009247,
        639.6534688305,
        344.9468627914,
        266.233110961,
        201.01273994931,
        226.07308589371,
        142.6934676173,
        632.5399218297,
        352.06040979221,
        52.446380556,
        138.76131435421,
        934.70469748469,
        359.173956793,
        405.5013673571,
        341.01470952831,
        284.39235822571,
        6290.4332144757,
        181.2995840071,
        651.1868040614,
        6276.2061204741,
        127.22797912329,
        948.9317914863,
        445.00125562421,
        424.39432780471,
        10220.6429106953,
        1375.52998236229,
        295.2950461377,
        10206.4158166937,
        209.12312469139,
        350.5759370839,
        12.77399045571,
        703.8770021009,
        636.95971005981,
        1471.50920958009,
        245.7862418359,
        191.45151239371,
        323.2615991739,
        729.0067840145,
        618.8004627951,
        75.0254160508,
        294.80741117069,
        209.87388421679,
        235.6343134493,
        1464.3956625793,
        508.10650660869,
        661.4817447999,
        1361.3028883607,
        565.35950523021,
        949.4194264533,
        1368.4164353615,
        5849.1202946311,
        10.8018827804,
        1052.51220067191,
        5863.3473886327,
        404.7506078317,
        9779.32999085069,
        1574.6019837987,
        1162.23088692429,
        9793.5570848523,
        208.8770464755,
        1251.0965671413,
        218.2087793675,
        313.4542934024,
        319.8170808778,
        429.28968891431,
        6283.3196674749,
        621.98185653281,
        1265.32366114289,
        10213.5293636945,
        121.4958389668,
        114.38229196601,
        194.89603068979,
        202.760337216,
        117.0760507367,
        842.3944989716,
        78.9575693139,
        196.1344251822,
        956.04533848709,
        230.9514006608,
        63.49208081989,
        1691.9218520189,
        536.5606946119,
        436.4032359151,
        9.3174100721,
        1787.9010792367,
        644.0732570606,
        757.4609720177,
        9.8050450391,
        576.4052054941,
        251.6759485593,
        289.8089841971,
        175.40987728371,
        824.4983762653,
        1478.62275658089,
        710.99054910171,
        202.0095776906,
        398.38782035631,
        98.6561710411,
        1589.3167127673,
        1780.78753223589,
        134.3415261241,
        10.051123255,
        501.62360692681,
        333.9011625275,
        5856.23384163189,
        479.532206399,
        63.9797157869,
        106.0303504728,
        508.5941415757,
        216.2366716922,
        1684.80830501809,
        120.1144321225,
        9786.44353785149,
        422.42222012939,
        1567.48843679789,
        348.1282565291,
        416.059432654,
        1890.9938534553,
        2.9375762542,
        852.9525642685,
        1677.6947580173,
        156.9205616189,
        167.07249000551,
        196.2774375341,
        114.6429243969,
        326.9306278786,
        151.2914873264,
        1272.4372081437,
        749.8597900499,
        212.579705075,
        214.506120768,
        320.5678404032,
        611.1992808273,
        849.5080459724,
        230.8083883089,
        21.0968235189,
        6069.53293706989,
        9999.7426332895,
        213.4947288117,
        213.5910970313,
        431.5078748055,
        526.7533888404,
        1581.7155307995,
        395.8225197225,
        38.3768531213,
        381.5954257209,
        215.99059347631,
        260.01333583751,
        129.6756596781,
        299.37021175271,
        1287.15193711231,
        211.09523236671,
        414.31183538731,
        276.79117625789,
        572.473052231,
        409.4335206202,
        59.55992755679,
        1493.3374855495,
        343.4623900831,
        696.7634551001,
        1588.82907780029,
        6070.0205720369,
        216.9874312176,
        45.3328335552,
        99.6675629974,
        422.1761419135,
        551.27542358051,
        69.3963417583,
        1169.83206889211,
        188.270118656,
        98.91680347199,
        1795.0146262375,
        10000.23026825651,
        100.1551979644,
        190.9638774267,
        143.9027536797,
        189.1638905333,
        265.745475994,
        238.815707187,
        917.1760975389,
        533.1161763158,
        275.7943385166,
        93.1846633155,
        221.61966776881,
        646.76701583129,
        432.471082652,
        205.46615807421,
        554.31380496631,
        415.3086731286,
        547.2002579655,
        5642.93474619389,
        174.1860370063,
        927.5911504839,
        91.8032564712,
        196.8681383651,
        230.2176874779,
        832.0995582331,
        2097.1794018925,
        1140.8902459219,
        99.40443843901,
        106.7811099982,
        2008.3137216755,
        219.6932520758,
        207.3925737672,
        71.09326278771,
        417.2807808039,
        374.15181032,
        333.4135275605,
        650.436044536,
        120.74507944141,
        2413.5712715491,
        9573.14444241349,
        135.5799206165,
        425.878800513,
        347.6406215621,
        220.7046440321,
        206.3811818109,
        116.18227885939,
        2104.2929488933,
        556.7614855211,
        856.62159297321,
        345.08987514331,
        237.9219353097,
        2207.38572311189,
        427.805216206,
        145.874861355,
        570.98857952271,
        423.17297965479,
        421.4253823881,
        305.85311143459,
        1169.34443392509,
        942.3058794525,
        455.29619636271,
        405.0137323901,
        186.71620997851,
        305.5899868762,
        899.0168502742,
        85.1773444374,
        2001.2001746747,
        439.37218133171,
        1066.2516597065,
        131.6477673534,
        1457.2821155785,
        913.24394427581,
        563.87503252191,
        327.68138740401,
        1155.6049748905,
        388.70897272171,
        281.210964488,
        312.4429014461,
        224.1009782184,
        561.4273519671,
        167.9662618828,
        312.9666584354,
        732.45130231059,
        12.28635548869,
        2627.3580019541,
        206.47755003051,
        82.13896305161,
        220.60827581251,
        291.5059052265,
        225.3223263683,
        201.7634994747,
        685.7177548362,
        3597.8742519263,
        240.36961586451,
        295.4380584896,
        1045.3986536711,
        440.5814673941,
        137.2768416459,
        519.15220687259,
        980.91199584231,
        5429.63565075589,
        1371.59782909919,
        1898.10740045609,
        721.40560204669,
        721.8932370137,
        1905.2209474569,
        127.71561409031,
        1883.8803064545,
        699.94484883781,
        850.25880549781,
        1382.64352936309,
        28.6980054867,
        312.70353387701,
        9359.84534697549,
        1994.08662767389,
        1048.8431719672,
        148.32254190981,
        212.79215339611,
        214.2936724469,
        739.5648493114,
        1243.98302014049,
        259.1195639602,
        233.1866328945,
        193.8991929485,
        153.73916788121,
        283.9047232587,
        525.7419968841,
        258.6319289932,
        4216.4308972379,
        2420.68481854989,
        17.91542978119,
        841.9068640046,
        121.0082039998,
        629.846163059,
        6062.4193900691,
        128.6093859676,
        3178.38960805111,
        67.91186905,
        731.70054278519,
        97.11681657861,
        2523.7775927685,
        81.9959506997,
        1056.444353935,
        355.99256305531,
        526.2657538734,
        777.17412795991,
        835.5440765292,
        5635.8211991931,
        74.53778108379,
        2317.5920443313,
        215.2398339509,
        1272.9248431107,
        6062.9070250361,
        2406.4577245483,
        906.130397275,
        3914.26612158291,
        211.8459918921,
        525.514994348,
        602.00806815971,
        306.34074640161,
        2193.1586291103,
        2729.96314120569,
        945.7503977486,
        32.48714639791,
        472.4186593982,
        2324.70559133209,
        4113.3381230193,
        1176.9456158929,
        252.8997888367,
        245.03548231051,
        182.05034353251,
        635.72131556739,
        220.1351950605,
        1773.6739852351,
        206.9506307825,
        1582.2031657665,
        2964.60287764609,
        738.814089786,
        31.9995114309,
        1802.6158082053,
        3494.7814777077,
        171.8984151459,
        1037.7974717033,
        2516.66404576769,
        1809.72935520611,
        2641.5850959557,
        2111.40649589409,
        9566.03089541269,
        519.63984183961,
        255.1874106971,
        60.52313540329,
        305.10235190919,
        459.0853372739,
        3259.6541063003,
        3260.1417412673,
        84.6897094704,
        397.9001853893,
        731.92754532131,
        5856.7214765989,
        471.9310244312,
        746.15463932291,
    ],
];

pub(crate) const Y3: [[f64; 250]; 3] = [
    [
        0.00076886822,
        0.00075865107,
        0.00028377246,
        0.00011451297,
        0.00009043324,
        0.0000741953,
        0.00008292033,
        0.00004421142,
        0.00003519324,
        0.00003064445,
        0.00002363042,
        0.00001027777,
        0.00000789743,
        0.00000810744,
        0.00000766386,
        0.00000673097,
        0.00000506614,
        0.00000384956,
        0.0000046354,
        0.00000411246,
        0.00000324142,
        0.00000285917,
        0.00000238406,
        0.00000192441,
        0.000001896,
        0.0000018961,
        0.00000213874,
        0.00000153605,
        0.00000154083,
        0.00000130169,
        0.00000121811,
        0.00000112652,
        0.00000109203,
        0.00000111589,
        0.00000097336,
        0.00000114728,
        0.00000085497,
        0.00000103793,
        0.00000085243,
        0.00000081972,
        0.00000093735,
        0.00000078232,
        0.00000073732,
        0.00000068659,
        0.00000087657,
        0.0000005779,
        0.00000050888,
        0.00000048029,
        0.00000057606,
        0.0000005696,
        0.00000045308,
        0.00000048067,
        0.00000036732,
        0.00000038865,
        0.00000043853,
        0.0000003668,
        0.00000035412,
        0.00000030232,
        0.00000034292,
        0.00000025919,
        0.00000026527,
        0.00000023623,
        0.00000017831,
        0.00000017289,
        0.00000016881,
        0.00000013511,
        0.00000012893,
        0.00000011197,
        0.00000013451,
        0.00000010292,
        0.00000011481,
        0.00000011394,
        0.0000001138,
        0.00000009884,
        0.00000009268,
        0.00000010374,
        0.00000011913,
        0.00000008626,
        0.00000008671,
        0.00000008821,
        0.00000008112,
        0.00000009768,
        0.00000008329,
        0.00000007645,
        0.00000008659,
        0.00000007205,
        0.00000007157,
        0.00000007036,
        0.00000007083,
        0.00000006556,
        0.00000005903,
        0.00000006615,
        0.00000006469,
        0.00000005426,
        0.00000005648,
        0.00000007105,
        0.00000005052,
        0.00000006189,
        0.00000005821,
        0.00000005043,
        0.00000004744,
        0.00000005705,
        0.00000005226,
        0.00000005511,
        0.0000000452,
        0.00000004583,
        0.00000004789,
        0.00000004026,
        0.00000003728,
        0.00000003578,
        0.0000000389,
        0.00000004291,
        0.00000003758,
        0.00000003547,
        0.00000003641,
        0.00000004196,
        0.00000003709,
        0.00000004193,
        0.00000003571,
        0.00000003647,
        0.00000002978,
        0.00000002876,
        0.00000002643,
        0.00000002725,
        0.00000003246,
        0.00000002721,
        0.00000002917,
        0.0000000256,
        0.0000000238,
        0.00000002667,
        0.00000002238,
        0.00000002305,
        0.00000002316,
        0.00000002282,
        0.00000001988,
        0.00000002365,
        0.00000002485,
        0.0000000267,
        0.0000000267,
        0.00000001974,
        0.0000000244,
        0.00000002032,
        0.00000002151,
        0.00000001875,
        0.0000000244,
        0.00000002034,
        0.0000000231,
        0.00000001764,
        0.00000002032,
        0.00000001993,
        0.00000001921,
        0.0000000162,
        0.00000001903,
        0.00000001568,
        0.00000001835,
        0.00000001523,
        0.00000002086,
        0.00000001666,
        0.00000001479,
        0.00000001479,
        0.00000001439,
        0.00000001464,
        0.00000001464,
        0.00000001676,
        0.00000001945,
        0.00000001436,
        0.00000001481,
        0.00000001709,
        0.00000001305,
        0.00000001548,
        0.00000001465,
        0.00000001494,
        0.00000001243,
        0.00000001234,
        0.00000001359,
        0.00000001217,
        0.00000001352,
        0.00000001391,
        0.00000001426,
        0.00000001501,
        0.00000001326,
        0.00000001171,
        0.00000001462,
        0.00000001164,
        0.00000001337,
        0.00000001509,
        0.00000001213,
        0.00000001241,
        0.00000001288,
        0.00000001337,
        0.00000001327,
        0.00000001118,
        0.00000001043,
        0.00000001069,
        0.00000001088,
        0.0000000127,
        0.00000001032,
        0.00000001009,
        0.000000011,
        0.00000001071,
        0.0000000112,
        0.00000001271,
        0.00000001009,
        0.00000001145,
        0.00000001072,
        0.00000001044,
        0.00000001195,
        0.00000001043,
        0.00000000889,
        0.00000000881,
        0.0000000104,
        0.00000001118,
        0.00000001047,
        0.00000001087,
        0.00000001087,
        0.00000000974,
        0.00000000869,
        0.00000001085,
        0.00000000841,
        0.00000000875,
        0.00000001063,
        0.00000000853,
        0.00000001056,
        0.00000000888,
        0.00000001045,
        0.00000000793,
        0.00000000817,
        0.0000000078,
        0.00000000798,
        0.00000000798,
        0.00000000834,
        0.00000000766,
        0.00000000875,
        0.00000000829,
        0.00000000749,
        0.00000000942,
        0.0000000073,
        0.00000000734,
        0.00000000727,
        0.00000000727,
        0.00000000986,
        0.00000000914,
        0.00000000774,
        0.00000000774,
        0.00000000806,
        0.00000000828,
        0.000000007,
        0.000000007,
        0.00000000687,
        0.00000000801,
    ],
    [
        1.38647122579,
        0.30263761509,
        2.294775168,
        5.24189857677,
        5.61883049962,
        0.21033373142,
        1.50182614839,
        0.64077885911,
        1.53956700451,
        4.39386454839,
        1.46950181949,
        4.71705572637,
        5.60732845352,
        5.98445458539,
        2.03195290594,
        5.33794721338,
        2.17347656423,
        1.47307672393,
        3.55273822694,
        2.1819916663,
        0.0785222944,
        0.41121094808,
        1.75200857251,
        5.32707204371,
        0.69653910652,
        0.69106705292,
        0.85839521405,
        0.70666490608,
        1.31044116162,
        6.09318414425,
        0.47800554959,
        6.07737302889,
        1.75938966834,
        3.84220589954,
        2.54240833553,
        5.87380874959,
        0.31664832561,
        1.39004326725,
        4.74344019433,
        1.720882056,
        4.66924086636,
        6.26955569087,
        2.6227420553,
        4.66941001827,
        5.07624062638,
        0.13357560704,
        1.523338655,
        2.25988634275,
        2.26643847681,
        2.75566102022,
        1.68344191762,
        1.37320484001,
        5.51470119579,
        2.20650641493,
        4.9207121602,
        0.3811690435,
        3.97478676019,
        5.44165264045,
        1.35598862213,
        3.74498868983,
        1.95025295633,
        0.11328528018,
        3.67540680263,
        5.6976771955,
        3.81249765736,
        4.15427151016,
        5.83608381063,
        4.12727958334,
        0.48023955262,
        5.57616897093,
        0.5590080175,
        1.22639782189,
        3.01802304028,
        5.68207864841,
        2.8567760643,
        5.65556228759,
        5.03981077547,
        5.23537891674,
        5.89546440948,
        6.14734947376,
        5.212461684,
        1.10645539833,
        3.90263564155,
        0.8250628421,
        4.22366027894,
        5.97033515631,
        4.065880171,
        1.06159700654,
        3.27104541387,
        1.1005592644,
        5.58614673874,
        5.2091090629,
        0.48331749487,
        6.23003978027,
        0.98336733799,
        1.44824281594,
        3.61172453455,
        3.11325347013,
        1.93537322437,
        2.19686528643,
        3.03559141046,
        3.29935860753,
        3.72017940288,
        5.16650332361,
        3.93668601315,
        1.57866732584,
        2.5799141756,
        4.75259771651,
        4.95619377571,
        0.94204754728,
        5.00299059027,
        0.89282309495,
        4.69738792182,
        1.97438574685,
        2.2393406132,
        2.4061083159,
        0.25270527416,
        0.33797589356,
        6.03135821293,
        0.8865940834,
        5.00861879701,
        3.7227733631,
        3.66740434616,
        4.31936427464,
        4.14230106799,
        5.7164453721,
        0.8128307039,
        3.37970059304,
        4.67244312905,
        1.66091865719,
        0.692619908,
        0.45579083441,
        0.44164789425,
        1.20272003403,
        4.99900390794,
        0.61916344902,
        5.89913021216,
        5.34319853125,
        5.82961294252,
        1.72688011717,
        3.86794399442,
        3.65372244155,
        6.26903391366,
        6.21933237642,
        2.94584507929,
        0.93720484486,
        0.13408163378,
        0.29031425745,
        2.17108818008,
        0.70131684029,
        5.87131438069,
        4.33606938312,
        1.58126923147,
        1.46883265025,
        2.03918042522,
        6.05102540851,
        0.0675102949,
        3.27204219166,
        1.20460352519,
        0.55429461283,
        1.65531266077,
        5.75084658705,
        2.29123683992,
        0.63508426553,
        5.05629111259,
        4.66419938107,
        2.92781569338,
        1.78635026289,
        2.53739213998,
        1.24859563362,
        1.19825645294,
        5.5136568661,
        3.96240186696,
        0.91112106896,
        0.27102919236,
        3.60020530728,
        1.9248018585,
        0.65264575339,
        2.11026020785,
        3.67811053153,
        4.70937835849,
        6.04141012834,
        6.22305747248,
        6.20382255072,
        1.54820693649,
        0.21806196966,
        2.7442246286,
        5.97315240097,
        1.29947866802,
        2.21013619697,
        0.27411407224,
        4.60785389063,
        2.37818871541,
        4.66047916687,
        0.96796460237,
        5.73542325903,
        5.01309781815,
        0.15463134354,
        2.45485733183,
        4.31734498299,
        4.50723064884,
        3.02683993003,
        4.14782207001,
        0.18866100481,
        4.98720300139,
        0.37186765557,
        4.23012320818,
        4.68469356625,
        5.13451420872,
        4.07324193143,
        5.49603658299,
        6.27960853334,
        0.9726500438,
        5.17936535207,
        2.03777269848,
        2.14268232218,
        0.17251420225,
        1.32838349016,
        3.35616685398,
        1.07922697964,
        5.95949690738,
        3.67902900562,
        0.19418111722,
        0.32179471274,
        0.14482765695,
        3.2624561664,
        0.67889320689,
        0.38946586865,
        3.07896109863,
        3.07896109863,
        2.33901429584,
        0.30242307365,
        5.85387427791,
        4.4438589314,
        2.07951145157,
        3.40636938944,
        4.06050820225,
        0.83381213045,
        0.81605653091,
        0.93197698209,
        4.19789524983,
        1.81845398539,
        1.85314072632,
        1.85314072632,
        2.87882505331,
        0.03130512468,
        1.98220269537,
        2.62359991037,
        6.00740806604,
        5.73752172813,
    ],
    [
        206.42936592071,
        220.6564599223,
        0.2438174835,
        426.8420083595,
        433.9555553603,
        227.77000692311,
        7.3573644843,
        419.72846135871,
        199.3158189199,
        640.1411037975,
        14.47091148511,
        647.25465079831,
        441.06910236111,
        216.72430665921,
        210.36151918381,
        213.0552779545,
        213.5429129215,
        117.5636857037,
        853.4401992355,
        110.45013870291,
        234.8835539239,
        412.6149143579,
        103.3365917021,
        316.6356871401,
        6.86972951729,
        633.0275567967,
        205.9417309537,
        323.74923414091,
        21.5844584859,
        209.6107596584,
        198.82818395289,
        220.16882495529,
        217.4750661846,
        860.55374623631,
        95.7354097343,
        223.83785366,
        330.8627811417,
        309.5221401393,
        654.3681977991,
        192.2022719191,
        426.3543733925,
        124.6772327045,
        88.6218627335,
        109.9625037359,
        430.02340209721,
        224.5886131854,
        202.4972126576,
        302.40859313851,
        203.247972183,
        1066.7392946735,
        96.2230447013,
        309.0345051723,
        448.1826493619,
        625.9140097959,
        422.9098550964,
        13.9832765181,
        522.8212355773,
        412.12727939089,
        301.9209581715,
        4.1759707466,
        423.66061462181,
        515.2200536095,
        11.2895177474,
        537.0483295789,
        195.38366565681,
        515.70768857651,
        437.8877086234,
        742.74624304909,
        522.3336006103,
        337.9763281425,
        191.7146369521,
        625.42637482889,
        1073.85284167431,
        131.79077970531,
        81.50831573269,
        544.1618765797,
        437.136949098,
        728.5191490475,
        419.2408263917,
        831.6119232661,
        149.8070146181,
        618.3128278281,
        867.6672932371,
        846.3266522347,
        643.32249753521,
        227.2823719561,
        636.2089505344,
        231.70216018621,
        89.10949770051,
        743.23387801611,
        270.1652642241,
        433.46792039329,
        408.68276109481,
        241.9971009247,
        529.9347825781,
        18.40306474821,
        416.547067621,
        736.1203310153,
        1280.0383901115,
        277.2788112249,
        56.3785338191,
        430.7741616226,
        415.7963080956,
        529.44714761109,
        1059.1381127057,
        294.80741117069,
        295.2950461377,
        483.4643596621,
        185.08872491831,
        405.5013673571,
        750.3474250169,
        941.8182444855,
        661.4817447999,
        70.6056278207,
        839.2131052339,
        618.8004627951,
        508.10650660869,
        838.72547026689,
        1148.00379292269,
        934.70469748469,
        1044.9110187041,
        398.38782035631,
        497.69145366371,
        363.1061100561,
        639.6534688305,
        1464.3956625793,
        113.6315324406,
        729.0067840145,
        86.07111631471,
        10.8018827804,
        10.538758222,
        956.53297345411,
        3.42521122121,
        611.1992808273,
        651.1868040614,
        2111.40649589409,
        316.14805217309,
        196.1344251822,
        230.9514006608,
        1059.6257476727,
        106.0303504728,
        1375.52998236229,
        824.4983762653,
        344.9468627914,
        323.2615991739,
        927.5911504839,
        99.6675629974,
        191.45151239371,
        636.95971005981,
        1258.21011414209,
        2641.0974609887,
        1596.43025976811,
        2634.47154895491,
        235.6343134493,
        536.5606946119,
        956.04533848709,
        445.00125562421,
        1876.76675945369,
        6290.4332144757,
        5849.1202946311,
        2538.4923217371,
        5863.3473886327,
        6276.2061204741,
        1251.0965671413,
        845.8390172677,
        508.5941415757,
        284.39235822571,
        2318.0796792983,
        107.2687449652,
        2943.74987161071,
        2531.3787747363,
        1780.78753223589,
        218.2087793675,
        208.8770464755,
        142.6934676173,
        1052.51220067191,
        209.87388421679,
        1243.98302014049,
        852.9525642685,
        1691.9218520189,
        2751.79141717511,
        67.91186905,
        160.852714882,
        117.0760507367,
        2627.3580019541,
        1574.6019837987,
        1354.6769763269,
        1140.8902459219,
        2950.8634186115,
        2421.1724535169,
        1567.48843679789,
        209.12312469139,
        156.9205616189,
        194.89603068979,
        1272.9248431107,
        2516.66404576769,
        1361.3028883607,
        52.446380556,
        1671.06884598351,
        1354.18934135989,
        1037.7974717033,
        721.40560204669,
        1670.5812110165,
        3157.04896704871,
        2435.3995475185,
        1560.3748897971,
        632.5399218297,
        2729.96314120569,
        359.173956793,
        1148.49142788971,
        1773.6739852351,
        1890.9938534553,
        3260.1417412673,
        2001.2001746747,
        2001.68780964171,
        1987.4607156401,
        621.98185653281,
        2214.98690507971,
        629.0954035336,
        2847.77064439291,
        2200.2721761111,
        288.32451148881,
        2332.3067732999,
        1155.1173399235,
        2.9375762542,
        341.01470952831,
        1802.12817323829,
        1382.64352936309,
        2015.42726867629,
        2015.9149036433,
        1802.6158082053,
        1471.50920958009,
        2523.7775927685,
        1162.23088692429,
        1809.72935520611,
        2008.3137216755,
        138.76131435421,
        749.8597900499,
        181.2995840071,
        245.7862418359,
        1795.0146262375,
        266.233110961,
        2840.1694624251,
        2840.6570973921,
        1912.8221294247,
        100.1551979644,
        9779.32999085069,
        10220.6429106953,
        102.84895673509,
        1457.2821155785,
    ],
];

pub(crate) const Y4: [[f64; 110]; 3] = [
    [
        0.00007957923,
        0.00007883034,
        0.00001517028,
        0.00001235695,
        0.00001152216,
        0.00000879616,
        0.00000709628,
        0.00000602013,
        0.00000507367,
        0.00000386382,
        0.00000338827,
        0.00000186029,
        0.00000220262,
        0.0000017321,
        0.00000084974,
        0.0000008534,
        0.00000044264,
        0.00000045849,
        0.00000047835,
        0.00000041104,
        0.00000030735,
        0.00000022639,
        0.00000021067,
        0.0000002023,
        0.00000021389,
        0.00000016854,
        0.00000021739,
        0.00000017501,
        0.00000014506,
        0.00000017401,
        0.00000013517,
        0.00000011814,
        0.00000012071,
        0.00000011725,
        0.00000010174,
        0.00000011491,
        0.00000010611,
        0.00000012147,
        0.00000009067,
        0.00000008918,
        0.00000008311,
        0.00000007296,
        0.0000000789,
        0.00000006699,
        0.00000006339,
        0.00000006254,
        0.00000006126,
        0.00000006725,
        0.00000006784,
        0.00000006868,
        0.00000006111,
        0.00000004468,
        0.0000000416,
        0.00000003681,
        0.00000003615,
        0.00000003079,
        0.00000003614,
        0.00000002896,
        0.00000003,
        0.00000002685,
        0.00000002918,
        0.00000002617,
        0.00000002884,
        0.00000002281,
        0.00000002717,
        0.00000002556,
        0.00000001782,
        0.00000001782,
        0.00000001856,
        0.00000001713,
        0.00000001632,
        0.0000000198,
        0.00000001607,
        0.00000001801,
        0.00000001532,
        0.0000000151,
        0.00000001531,
        0.00000001394,
        0.00000001427,
        0.00000001649,
        0.00000001249,
        0.00000001353,
        0.00000001674,
        0.00000001646,
        0.00000001305,
        0.0000000116,
        0.00000001537,
        0.00000001096,
        0.00000001156,
        0.00000001062,
        0.00000001285,
        0.00000001079,
        0.00000001006,
        0.0000000129,
        0.00000001051,
        0.00000001027,
        0.00000001021,
        0.00000001137,
        0.00000000991,
        0.00000001038,
        0.00000000865,
        0.00000000859,
        0.00000000862,
        0.00000000776,
        0.00000000797,
        0.00000000824,
        0.00000000881,
        0.00000000686,
        0.00000000684,
        0.00000000859,
    ],
    [
        4.81531837805,
        3.09554141083,
        4.76816117565,
        3.82520659584,
        3.67316954399,
        3.77095350877,
        3.24840338462,
        5.94750261507,
        3.21712935929,
        6.01344501364,
        2.51520356928,
        3.85605990474,
        2.50677283832,
        2.89158751393,
        4.62115933793,
        4.39717612141,
        6.05982256678,
        5.16536949235,
        1.64342336148,
        2.1840096838,
        5.85312406338,
        2.96960991387,
        3.34244726581,
        0.17279084911,
        2.53635561163,
        4.38021440482,
        1.99698913462,
        4.23662156145,
        4.3989497615,
        2.26232682838,
        3.33447998001,
        5.16076867097,
        3.74132731532,
        4.75596558897,
        4.42772116867,
        3.65800261495,
        4.0722072096,
        2.66285969856,
        4.26864930915,
        3.0399046036,
        3.10463384858,
        0.7785415161,
        0.94138641674,
        3.06921349305,
        3.75710669061,
        1.12954162648,
        3.2197182401,
        3.94118928489,
        4.2186591912,
        0.65717842769,
        3.59045265634,
        3.29229132687,
        5.74668718431,
        5.6613190891,
        5.12190926865,
        0.92409053273,
        1.94380765622,
        6.00160618678,
        3.15709072507,
        3.43239500452,
        5.44500673473,
        1.40935172097,
        2.20199681607,
        2.190649798,
        3.78847562141,
        3.08407888684,
        4.5107829637,
        0.37884320289,
        2.79299417712,
        2.96942684848,
        0.86290354268,
        1.69424503948,
        6.10863313121,
        4.27647079459,
        5.31288615169,
        2.58764647681,
        0.19788540477,
        3.60010141007,
        2.30374859738,
        4.25957274495,
        3.74724649234,
        4.07456235845,
        5.46467832773,
        5.6881105504,
        2.57485726113,
        1.35876987453,
        1.64895812279,
        5.87040605326,
        1.65604017773,
        3.29348541593,
        1.15881412669,
        4.46936132008,
        4.8336507316,
        4.69044132255,
        2.68982495323,
        3.70327166201,
        2.48350861942,
        2.90811550586,
        3.78009400759,
        1.35464465726,
        0.40802396366,
        5.85730307132,
        3.18022940336,
        1.33793489456,
        2.04691519292,
        4.53645127236,
        3.4573574014,
        1.77528970097,
        3.52622623805,
        3.63825836835,
    ],
    [
        220.6564599223,
        206.42936592071,
        227.77000692311,
        433.9555553603,
        213.5429129215,
        0.2438174835,
        199.3158189199,
        7.3573644843,
        426.8420083595,
        14.47091148511,
        419.72846135871,
        441.06910236111,
        640.1411037975,
        647.25465079831,
        234.8835539239,
        213.0552779545,
        117.5636857037,
        6.86972951729,
        853.4401992355,
        412.6149143579,
        21.5844584859,
        654.3681977991,
        103.3365917021,
        110.45013870291,
        205.9417309537,
        124.6772327045,
        860.55374623631,
        220.16882495529,
        88.6218627335,
        198.82818395289,
        309.5221401393,
        323.74923414091,
        448.1826493619,
        330.8627811417,
        95.7354097343,
        192.2022719191,
        302.40859313851,
        633.0275567967,
        13.9832765181,
        426.3543733925,
        430.02340209721,
        316.6356871401,
        1066.7392946735,
        109.9625037359,
        216.72430665921,
        210.36151918381,
        301.9209581715,
        625.9140097959,
        223.83785366,
        203.247972183,
        96.2230447013,
        309.0345051723,
        522.8212355773,
        423.66061462181,
        405.5013673571,
        412.12727939089,
        515.2200536095,
        515.70768857651,
        422.9098550964,
        209.6107596584,
        89.10949770051,
        217.4750661846,
        191.7146369521,
        316.14805217309,
        131.79077970531,
        337.9763281425,
        241.9971009247,
        185.08872491831,
        618.3128278281,
        625.42637482889,
        728.5191490475,
        831.6119232661,
        611.1992808273,
        227.2823719561,
        1052.51220067191,
        742.74624304909,
        529.44714761109,
        1361.3028883607,
        1251.0965671413,
        295.2950461377,
        743.23387801611,
        1678.1823929843,
        231.70216018621,
        195.38366565681,
        934.70469748469,
        81.50831573269,
        21.0968235189,
        832.0995582331,
        508.10650660869,
        294.80741117069,
        1464.3956625793,
        1368.9040703285,
        1361.79052332771,
        736.1203310153,
        941.8182444855,
        433.46792039329,
        522.3336006103,
        1891.4814884223,
        1994.5742626409,
        1148.00379292269,
        750.3474250169,
        416.547067621,
        437.136949098,
        102.84895673509,
        1375.52998236229,
        639.6534688305,
        1258.6977491091,
        234.3959189569,
        661.4817447999,
        537.0483295789,
    ],
];

pub(crate) const Y5: [[f64; 40]; 3] = [
    [
        0.00000605503,
        0.00000576439,
        0.00000227348,
        0.00000133503,
        0.00000094765,
        0.00000039851,
        0.0000003419,
        0.00000024941,
        0.00000023155,
        0.00000016208,
        0.00000012333,
        0.00000010358,
        0.00000010534,
        0.00000008668,
        0.0000000884,
        0.00000004707,
        0.00000005904,
        0.00000003895,
        0.00000003976,
        0.00000003675,
        0.00000003472,
        0.00000004393,
        0.0000000329,
        0.00000002569,
        0.00000002467,
        0.00000002708,
        0.00000002138,
        0.00000002447,
        0.00000001979,
        0.00000002238,
        0.00000001727,
        0.00000001398,
        0.00000001536,
        0.00000001195,
        0.00000001,
        0.00000000984,
        0.00000000791,
        0.00000000979,
        0.00000000784,
        0.0000000091,
    ],
    [
        3.02566952553,
        4.77676022633,
        3.0200548431,
        2.01762000448,
        4.98454736271,
        4.29556357711,
        2.07372397023,
        3.84014099419,
        1.07127433478,
        0.82050987845,
        0.61142473697,
        2.92988275487,
        5.12660829509,
        1.94893255744,
        3.98137124653,
        6.14618174587,
        3.16028075613,
        0.73151574345,
        3.54063716264,
        2.04382079343,
        6.06844015557,
        1.18474783269,
        2.31998889526,
        1.20332477401,
        1.58903935784,
        0.15976971982,
        2.01599255393,
        2.47106712193,
        5.69757911363,
        0.86043138018,
        1.65089858299,
        0.05843587724,
        3.94854505604,
        3.93835889247,
        2.44450069185,
        2.38499591413,
        0.61482230222,
        0.49750454847,
        1.61990559836,
        0.48207868964,
    ],
    [
        220.6564599223,
        206.42936592071,
        227.77000692311,
        433.9555553603,
        199.3158189199,
        14.47091148511,
        441.06910236111,
        0.2438174835,
        647.25465079831,
        426.8420083595,
        640.1411037975,
        234.8835539239,
        419.72846135871,
        192.2022719191,
        213.5429129215,
        88.6218627335,
        7.3573644843,
        405.5013673571,
        6.86972951729,
        213.0552779545,
        853.4401992355,
        654.3681977991,
        124.6772327045,
        109.9625037359,
        515.70768857651,
        860.55374623631,
        448.1826493619,
        220.16882495529,
        302.40859313851,
        198.82818395289,
        301.9209581715,
        309.5221401393,
        205.9417309537,
        117.5636857037,
        223.83785366,
        203.247972183,
        330.8627811417,
        95.7354097343,
        522.8212355773,
        96.2230447013,
    ],
];

pub(crate) const Z0: [[f64; 420]; 3] = [
    [
        0.4135695094,
        0.01148283576,
        0.01214249867,
        0.00329280791,
        0.00286934048,
        0.00099076584,
        0.0005736182,
        0.00047738127,
        0.00043458803,
        0.00034565673,
        0.00016185391,
        0.0000900127,
        0.00011433574,
        0.00005398708,
        0.00003902467,
        0.00003709212,
        0.000036141,
        0.00003379953,
        0.00003089874,
        0.00002683064,
        0.00002963493,
        0.00002343367,
        0.00002423663,
        0.00001701916,
        0.00001941205,
        0.00001990145,
        0.00001460265,
        0.00001148341,
        0.00001092809,
        0.00001015179,
        0.00001098254,
        0.0000099103,
        0.00001028743,
        0.00000907817,
        0.00000818092,
        0.00000733443,
        0.00000631275,
        0.00000574266,
        0.00000471645,
        0.00000416292,
        0.00000412467,
        0.00000381934,
        0.00000370902,
        0.00000337338,
        0.00000263173,
        0.00000245414,
        0.00000231186,
        0.00000232835,
        0.00000226218,
        0.00000252287,
        0.00000213656,
        0.00000223924,
        0.00000189917,
        0.00000162873,
        0.0000016451,
        0.00000158304,
        0.00000156454,
        0.00000202699,
        0.00000150079,
        0.00000142705,
        0.00000163551,
        0.00000135335,
        0.0000012914,
        0.00000128206,
        0.00000140534,
        0.00000121564,
        0.0000011919,
        0.00000115147,
        0.00000135375,
        0.00000103727,
        0.00000107498,
        0.0000010756,
        0.00000113808,
        0.0000009492,
        0.00000110037,
        0.00000101425,
        0.00000101928,
        0.00000104973,
        0.0000008362,
        0.00000071104,
        0.00000070089,
        0.00000066662,
        0.00000077048,
        0.00000090986,
        0.00000062746,
        0.00000063467,
        0.00000058999,
        0.00000076181,
        0.00000063389,
        0.00000056601,
        0.00000057837,
        0.00000070959,
        0.0000007015,
        0.00000051149,
        0.00000051666,
        0.00000050128,
        0.00000048091,
        0.00000049761,
        0.00000046488,
        0.00000054298,
        0.00000047483,
        0.00000039354,
        0.00000039602,
        0.00000041716,
        0.00000037614,
        0.00000042785,
        0.00000037718,
        0.00000036792,
        0.00000037862,
        0.00000036057,
        0.0000003546,
        0.00000034852,
        0.00000040506,
        0.0000003256,
        0.00000037967,
        0.00000032818,
        0.00000030744,
        0.00000032548,
        0.0000003583,
        0.00000034253,
        0.00000032939,
        0.00000037689,
        0.00000032421,
        0.00000028902,
        0.00000033335,
        0.00000038185,
        0.00000027693,
        0.00000028922,
        0.0000003233,
        0.00000029913,
        0.00000029455,
        0.00000026648,
        0.00000025659,
        0.00000025652,
        0.00000026011,
        0.00000025663,
        0.00000022977,
        0.00000031283,
        0.00000030192,
        0.00000026495,
        0.00000029523,
        0.00000022228,
        0.00000021237,
        0.00000020174,
        0.00000020521,
        0.00000023744,
        0.00000021685,
        0.00000019856,
        0.00000017347,
        0.00000017925,
        0.00000018247,
        0.00000017378,
        0.00000016401,
        0.00000016228,
        0.00000016107,
        0.00000015546,
        0.00000014801,
        0.0000001532,
        0.00000014467,
        0.00000014146,
        0.00000015436,
        0.00000014576,
        0.0000001482,
        0.00000013743,
        0.00000017347,
        0.00000014576,
        0.00000013755,
        0.00000012945,
        0.00000012834,
        0.00000012885,
        0.00000016969,
        0.00000012706,
        0.00000012558,
        0.0000001431,
        0.00000011808,
        0.00000013258,
        0.00000011158,
        0.00000014798,
        0.00000014861,
        0.00000011978,
        0.00000010959,
        0.00000011901,
        0.0000001108,
        0.00000010475,
        0.00000012129,
        0.00000010959,
        0.00000010673,
        0.00000013041,
        0.00000011521,
        0.00000010228,
        0.00000010229,
        0.00000010959,
        0.00000009406,
        0.00000010284,
        0.00000009424,
        0.00000008939,
        0.00000009017,
        0.00000009979,
        0.00000008356,
        0.00000009107,
        0.00000008169,
        0.00000009044,
        0.00000007927,
        0.00000010063,
        0.00000009335,
        0.00000008385,
        0.0000000867,
        0.000000081,
        0.00000009452,
        0.00000007738,
        0.00000007577,
        0.00000009275,
        0.00000007638,
        0.00000007663,
        0.00000007158,
        0.00000008033,
        0.00000006822,
        0.00000008887,
        0.00000006961,
        0.0000000658,
        0.00000006629,
        0.00000006283,
        0.00000007796,
        0.00000008282,
        0.00000006576,
        0.00000006587,
        0.00000006378,
        0.00000006626,
        0.00000006587,
        0.00000007576,
        0.00000005988,
        0.00000005723,
        0.00000006565,
        0.00000005704,
        0.00000006842,
        0.00000007349,
        0.0000000559,
        0.00000006488,
        0.00000007413,
        0.00000005491,
        0.0000000582,
        0.00000005622,
        0.00000005473,
        0.00000005454,
        0.00000005407,
        0.00000005442,
        0.00000005436,
        0.00000006267,
        0.00000005068,
        0.00000004865,
        0.0000000507,
        0.00000004738,
        0.00000005183,
        0.0000000531,
        0.00000005141,
        0.00000006231,
        0.00000006367,
        0.00000004541,
        0.00000004528,
        0.00000005172,
        0.00000005805,
        0.00000004639,
        0.00000004731,
        0.00000004756,
        0.00000004322,
        0.00000004167,
        0.00000004164,
        0.00000005676,
        0.00000003966,
        0.00000004603,
        0.00000003802,
        0.000000048,
        0.00000004743,
        0.0000000413,
        0.00000004686,
        0.00000004043,
        0.00000003906,
        0.00000003883,
        0.00000004913,
        0.00000003689,
        0.00000004228,
        0.0000000402,
        0.00000004185,
        0.00000004583,
        0.00000004596,
        0.00000003552,
        0.00000003975,
        0.00000003475,
        0.00000004395,
        0.00000003187,
        0.00000003966,
        0.00000003124,
        0.00000003104,
        0.00000003508,
        0.00000002979,
        0.00000003143,
        0.00000003169,
        0.00000003871,
        0.00000002814,
        0.0000000289,
        0.00000002831,
        0.00000002757,
        0.00000002757,
        0.00000003187,
        0.00000002712,
        0.00000002771,
        0.0000000263,
        0.00000002626,
        0.00000002828,
        0.0000000265,
        0.00000002589,
        0.00000002579,
        0.00000003452,
        0.00000002527,
        0.00000002496,
        0.00000003222,
        0.00000002684,
        0.0000000237,
        0.0000000231,
        0.00000002444,
        0.00000002435,
        0.00000002236,
        0.00000002653,
        0.00000002646,
        0.00000002211,
        0.00000002313,
        0.00000002197,
        0.00000002348,
        0.00000002842,
        0.00000002195,
        0.00000002609,
        0.00000002207,
        0.00000002182,
        0.0000000206,
        0.00000002079,
        0.00000002351,
        0.0000000277,
        0.00000002705,
        0.00000002052,
        0.00000002046,
        0.00000002036,
        0.00000002481,
        0.00000002024,
        0.00000002006,
        0.00000002006,
        0.00000002026,
        0.00000001938,
        0.00000002065,
        0.00000002254,
        0.00000001922,
        0.00000002534,
        0.00000002106,
        0.00000002211,
        0.00000002083,
        0.00000001909,
        0.00000001898,
        0.00000002007,
        0.00000001974,
        0.00000001937,
        0.00000001838,
        0.0000000188,
        0.00000001858,
        0.00000001768,
        0.00000002128,
        0.00000002111,
        0.00000002359,
        0.00000002084,
        0.00000002189,
        0.00000002225,
        0.00000002362,
        0.00000001938,
        0.00000002349,
        0.00000001752,
        0.00000002216,
        0.00000001697,
        0.00000001692,
        0.00000001698,
        0.00000002118,
        0.00000002049,
        0.00000001712,
        0.00000001828,
        0.00000001933,
        0.00000001737,
        0.00000001676,
        0.00000001935,
        0.00000001602,
        0.00000001894,
        0.00000001589,
        0.00000001565,
        0.00000001648,
        0.00000001562,
        0.00000001794,
        0.00000001844,
        0.00000001821,
        0.00000001605,
        0.00000001477,
        0.00000001468,
        0.00000001481,
        0.00000001547,
        0.00000001457,
        0.00000001902,
        0.00000001529,
        0.00000001494,
        0.00000001588,
        0.00000001502,
        0.00000001608,
        0.0000000146,
        0.00000001462,
        0.0000000149,
        0.00000001688,
        0.00000001778,
        0.00000001834,
        0.00000001834,
        0.00000001451,
        0.00000001474,
        0.00000001388,
        0.00000001589,
        0.0000000139,
        0.00000001435,
        0.00000001404,
    ],
    [
        3.60234142982,
        2.85128367469,
        0.0,
        0.57121407104,
        3.48073526693,
        4.73369511264,
        4.92611225093,
        2.10039779728,
        5.84904978051,
        5.4261422959,
        2.72987173675,
        1.38140102737,
        3.71662021072,
        5.13204892363,
        3.71499738796,
        5.05549348785,
        3.35210451276,
        2.13868919206,
        3.62572857085,
        4.87689555581,
        0.46490184985,
        1.3455827834,
        2.9290709476,
        1.89892525654,
        4.59421314662,
        0.73166053611,
        3.12851339724,
        4.41139213915,
        3.10679381209,
        1.97897195994,
        0.96097709156,
        2.99610026682,
        2.11933059243,
        4.6857627861,
        2.91497656196,
        2.10018715614,
        1.30557255814,
        0.63353925382,
        1.62329782277,
        5.88171380023,
        2.56322277221,
        2.83850532211,
        2.22356953874,
        4.12487690436,
        2.60594324261,
        3.87716027424,
        2.79137518143,
        1.69429632635,
        0.98981012262,
        3.04205345262,
        3.00046819587,
        3.07498346391,
        5.75255233102,
        3.89762690585,
        2.45697452905,
        2.31306407231,
        1.35680198123,
        3.8558189988,
        4.14045329244,
        2.58383947868,
        0.16578976592,
        0.48883402314,
        2.17035714121,
        0.59415255592,
        3.97289861748,
        4.51381049808,
        1.61391416177,
        3.43459040245,
        3.57424025701,
        6.17639441368,
        3.52498564069,
        3.9983783647,
        0.43922136441,
        2.26222536028,
        3.51152757685,
        0.14126238472,
        0.21047731069,
        4.19518394917,
        4.82013591775,
        4.92741306047,
        1.05108025259,
        1.22617152895,
        0.80511279723,
        6.2819848072,
        2.06105893244,
        2.36959372262,
        2.31882650737,
        2.67435759741,
        1.81556177589,
        1.11303957705,
        3.29043420072,
        5.41979944279,
        3.82574373735,
        3.8603013169,
        3.4911134407,
        1.98273693937,
        3.20971334548,
        6.18808156638,
        3.80768518798,
        3.18076013146,
        1.53655093485,
        2.10537295968,
        2.27507746067,
        1.05111221485,
        6.14179074602,
        0.11273484212,
        5.96333653993,
        1.35292393469,
        4.00773869969,
        3.30899953753,
        5.01105830246,
        4.75445504646,
        2.20073759144,
        6.14806301843,
        4.57075294928,
        5.79538785685,
        3.64317302294,
        2.95740474962,
        0.75230512173,
        2.96835157474,
        4.45144712576,
        4.37977418287,
        5.78559756829,
        5.81529149124,
        5.62401622695,
        4.19997816879,
        5.55618950213,
        5.58858980738,
        4.22794944092,
        3.31182307103,
        5.83042047243,
        0.86666603224,
        5.10869894674,
        4.80215156054,
        2.05589181933,
        1.81564756635,
        5.44037839738,
        3.54881062563,
        0.42929684303,
        2.86288115466,
        0.37961341545,
        5.48142509504,
        0.87139429027,
        1.8538064737,
        6.16117414568,
        3.20046265011,
        3.1787148276,
        3.1385757274,
        5.96946168051,
        1.1455634066,
        3.00127995342,
        0.74127655202,
        1.36402971878,
        3.17582194781,
        0.54971362869,
        2.29108586908,
        0.2011134119,
        3.8029637334,
        1.32549449124,
        4.85276668809,
        1.48161033604,
        3.75966213667,
        3.34957428396,
        4.77276011938,
        4.37930417897,
        0.30591841563,
        2.59733474149,
        1.84552645547,
        4.2459746389,
        4.8609570031,
        1.27721722241,
        0.31024660308,
        0.03128357867,
        2.34661407283,
        1.79617614059,
        2.56724178887,
        0.45949551763,
        1.03056978581,
        3.2634376201,
        6.22486801109,
        1.31570222417,
        1.58846496072,
        5.37041305935,
        2.19368288733,
        4.63783219973,
        4.40512358221,
        1.60141035946,
        1.87126265057,
        2.11579255167,
        2.41342516828,
        0.96548776504,
        5.94363969204,
        3.39740548756,
        0.01930234298,
        1.68112701238,
        5.28697277625,
        2.70864683669,
        3.97256303244,
        0.65143790392,
        0.33774330802,
        3.23957036879,
        0.23054654773,
        3.97539997718,
        4.2149869212,
        5.70779396792,
        0.64196694648,
        2.7560107905,
        4.06039030284,
        2.59277908129,
        1.55361395079,
        6.02114380426,
        5.16642875471,
        2.70476229552,
        2.73399784358,
        5.84039229615,
        4.20065885029,
        6.12047591103,
        4.87842237223,
        3.34826318442,
        5.81874339759,
        1.53732206945,
        3.84796221759,
        0.08813581424,
        1.90022750359,
        0.35050721605,
        0.58291546593,
        6.14309601319,
        3.37506241952,
        3.48062808501,
        2.82334902636,
        5.47551169354,
        5.22938546212,
        5.1842352798,
        5.3116403771,
        6.15429926594,
        0.73079523905,
        4.19082216094,
        2.29038019982,
        2.98595847215,
        2.70527999156,
        2.98199777797,
        1.4590188232,
        0.81641753389,
        6.12211624341,
        1.53066536154,
        0.02368001914,
        4.67977840196,
        5.43877709236,
        4.3397890475,
        5.10809843245,
        3.27536823314,
        0.53669462342,
        2.18841260581,
        0.66732715963,
        2.42998599018,
        5.93759865879,
        3.45785496152,
        0.61777794179,
        1.6575659631,
        4.96799695932,
        2.10740836405,
        1.63821364676,
        1.4464198594,
        3.73287086188,
        4.15153138812,
        1.65241802351,
        2.47912208303,
        5.11706007934,
        0.05086647098,
        5.52562693778,
        0.43628874694,
        5.54041183899,
        0.53760335914,
        1.61538042826,
        3.97383030786,
        2.18819710124,
        5.19970623343,
        5.39147665291,
        1.03288629446,
        5.45822055399,
        4.2836055894,
        4.88073386744,
        3.32405342181,
        1.85097979187,
        4.18504944347,
        5.98005739127,
        5.80157206371,
        2.47178960968,
        0.85418906454,
        2.61148353061,
        4.66662911986,
        0.10655817305,
        0.38849805992,
        2.85265213502,
        3.04084830124,
        1.71420147928,
        1.34499488466,
        2.71348462732,
        0.526497138,
        1.29415320006,
        4.4559576463,
        2.0537143135,
        2.83591185309,
        2.00772012188,
        5.27492060596,
        2.54360038772,
        5.50124179878,
        0.49212317679,
        3.04457317761,
        2.71849987794,
        5.1824823965,
        1.68789924795,
        0.69033243447,
        3.47384786002,
        5.9621838611,
        3.60809233593,
        5.48972047825,
        1.54660575926,
        0.63846192912,
        3.87972666346,
        2.718296979,
        1.31003501645,
        5.7025527009,
        3.30185009916,
        4.72699183302,
        2.81517281649,
        2.6392912992,
        1.83689902078,
        2.88171478117,
        1.58125142363,
        1.41922918177,
        5.6719760778,
        3.15263816837,
        5.78919528834,
        5.0800711448,
        0.26849523535,
        4.57559729641,
        4.32491993913,
        1.22649156182,
        5.19173373776,
        2.88971262431,
        1.55318712059,
        4.32935289944,
        2.01138855049,
        2.8782376161,
        2.42235724251,
        2.4801660291,
        1.1608121433,
        5.9962317474,
        5.98223148262,
        2.6227254968,
        1.8488384149,
        1.86083014117,
        6.14443432076,
        1.13231253998,
        3.53454927143,
        4.3516782892,
        5.7863707967,
        4.03561100629,
        2.97004270413,
        3.59058053053,
        5.83605607376,
        4.86059839675,
        3.95375781114,
        5.51034879271,
        3.95534711749,
        4.99656154667,
        5.75843317256,
        5.22774546552,
        0.10821349524,
        3.62212314488,
        2.45602769901,
        0.17721513623,
        4.46378373321,
        3.74680430424,
        1.296738217,
        2.09387250037,
        2.90133577623,
        1.88559014939,
        2.97477489664,
        2.23147050409,
        3.33016281296,
        2.59432238776,
        2.73737546375,
        2.01080991907,
        4.81017819939,
        4.74702697079,
        0.85622467383,
        5.03064453644,
        5.00766073214,
        4.62304098893,
        2.92299868481,
        6.25012647811,
        5.47892889469,
        2.57251520836,
        1.36669731999,
        4.67912895132,
        0.92457754588,
        0.134193401,
        0.52628058703,
        1.24600006636,
        2.85370771355,
        3.66845408834,
        1.63988438811,
        4.9634845977,
        3.59138122093,
        1.17818401345,
        5.05747764334,
        2.03601440129,
        1.50928274793,
        0.24563726151,
        3.98017256784,
        0.90945359875,
        3.59438611623,
        4.97772142978,
        4.77847833406,
        5.43527416407,
        4.08155384651,
        1.51395699369,
        4.02343833901,
    ],
    [
        213.299095438,
        426.598190876,
        0.0,
        206.1855484372,
        220.4126424388,
        7.1135470008,
        110.2063212194,
        639.897286314,
        419.4846438752,
        316.3918696566,
        433.7117378768,
        103.0927742186,
        529.6909650946,
        202.2533951741,
        323.5054166574,
        632.7837393132,
        227.5261894396,
        11.0457002639,
        209.3669421749,
        224.3447957019,
        217.2312487011,
        853.196381752,
        63.7358983034,
        735.8765135318,
        14.2270940016,
        199.0720014364,
        522.5774180938,
        117.3198682202,
        216.4804891757,
        647.0108333148,
        210.1177017003,
        846.0828347512,
        415.5524906121,
        309.2783226558,
        149.5631971346,
        74.7815985673,
        277.0349937414,
        490.3340891794,
        1052.2683831884,
        95.9792272178,
        1162.4747044078,
        838.9692877504,
        351.8165923087,
        3.9321532631,
        440.8252848776,
        1059.3819301892,
        127.4717966068,
        38.1330356378,
        210.8514148832,
        137.0330241624,
        536.8045120954,
        215.7467759928,
        742.9900605326,
        214.2623032845,
        422.6660376129,
        1478.8665740644,
        1368.660252845,
        949.1756089698,
        437.6438911399,
        1155.361157407,
        212.3358875915,
        213.3472795478,
        76.2660712756,
        1066.49547719,
        625.6701923124,
        3.1813937377,
        628.8515860501,
        330.6189636582,
        213.2509113282,
        200.7689224658,
        138.5174968707,
        85.8272988312,
        222.8603229936,
        388.4651552382,
        1265.5674786264,
        430.5303441391,
        412.3710968744,
        9.5612275556,
        1.4844727083,
        212.7778305762,
        12.5301729722,
        860.3099287528,
        52.6901980395,
        423.4167971383,
        1795.258443721,
        429.7795846137,
        1471.7530270636,
        191.2076949102,
        350.3321196004,
        1685.0521225016,
        515.463871093,
        213.8203602998,
        942.062061969,
        173.9422195228,
        203.7378678824,
        195.1398481733,
        234.6397364404,
        703.6331846174,
        225.8292684102,
        1581.959348283,
        265.9892934775,
        728.762966531,
        288.0806940053,
        563.6312150384,
        217.491881132,
        252.6559713532,
        210.3783341312,
        565.1156877467,
        62.2514255951,
        212.5483359126,
        65.2203710117,
        207.8824694666,
        362.8622925726,
        417.0369633204,
        302.164775655,
        99.1606209555,
        207.6700211455,
        70.8494453042,
        214.0498549634,
        223.5940361765,
        21.3406410024,
        216.2198567448,
        160.6088973985,
        88.865680217,
        218.7157214094,
        209.106309744,
        18.1592472647,
        425.1137181677,
        22.0914005278,
        124.433415221,
        956.2891559706,
        217.964961884,
        479.2883889155,
        231.4583427027,
        1788.1448967202,
        2111.6503133776,
        142.4496501338,
        1258.4539316256,
        218.9281697305,
        1898.3512179396,
        554.0699874828,
        408.4389436113,
        2001.4439921582,
        654.1243803156,
        56.6223513026,
        208.633228992,
        414.0680179038,
        175.1660598002,
        213.1872208534,
        203.0041546995,
        831.8557407496,
        177.8743727859,
        211.8146227297,
        98.8999885246,
        251.4321310758,
        750.1036075334,
        148.0787244263,
        483.2205421786,
        114.1384744825,
        327.4375699205,
        198.321241911,
        213.5115437591,
        248.7238180901,
        106.2741679563,
        213.4109700226,
        213.0866471169,
        228.276948965,
        1045.1548361876,
        10.2949407385,
        39.3568759152,
        214.7835681463,
        424.1505103212,
        1272.6810256272,
        1375.7737998458,
        2104.5367663768,
        2214.7430875962,
        497.4476361802,
        2.4476805548,
        1574.8458012822,
        121.2520214833,
        235.3904959658,
        635.9651330509,
        1169.5882514086,
        221.3758502853,
        269.9214467406,
        213.5597278689,
        2428.0421830342,
        151.0476698429,
        205.2223405907,
        275.5505210331,
        842.1506814881,
        213.0384630071,
        650.9429865779,
        219.4494345923,
        488.8496164711,
        340.7708920448,
        1692.1656695024,
        278.5194664497,
        2317.8358618148,
        10213.285546211,
        427.5613987225,
        312.1990839626,
        210.5907824523,
        618.5566453116,
        425.6349830295,
        188.9200730498,
        491.8185618877,
        207.1487562837,
        429.0458714308,
        601.7642506762,
        426.6463749858,
        8.0767548473,
        543.9180590962,
        1148.2476104062,
        84.3428261229,
        767.3690829208,
        1279.794572628,
        1589.0728952838,
        237.6781178262,
        284.1485407422,
        289.5651667136,
        125.9873238985,
        216.0074084237,
        134.5853436076,
        220.4608265486,
        213.4591541324,
        73.297125859,
        312.4597163935,
        213.1390367436,
        426.5500067662,
        35.4247226521,
        212.0270710508,
        67.6680515665,
        1485.9801210652,
        179.3588454942,
        355.7487455718,
        247.2393453818,
        2531.1349572528,
        1891.2376709388,
        2008.557539159,
        5.4166259714,
        501.3797894433,
        181.0557665236,
        643.8294395771,
        2420.9286360334,
        404.5067903482,
        621.7380390493,
        636.7158925763,
        113.3877149571,
        69.1525242748,
        144.1465711632,
        1073.6090241908,
        107.0249274817,
        116.4260963429,
        692.5874843535,
        436.1594184316,
        220.364458329,
        206.233732547,
        1361.5467058442,
        342.2553647531,
        4.665866446,
        5.6290742925,
        2744.4340526908,
        206.1373643274,
        426.0769260142,
        191.9584544356,
        447.9388318784,
        214.5711198252,
        206.706813299,
        78.7137518304,
        617.8058857862,
        344.7030453079,
        128.9562693151,
        643.0786800517,
        934.9485149682,
        358.9301393095,
        630.3360587584,
        320.3240229197,
        32.2433289144,
        916.9322800554,
        4.192785694,
        54.1746707478,
        245.5424243524,
        114.3991069134,
        219.891377577,
        20.6069278195,
        14.977853527,
        1464.6394800628,
        525.4981794006,
        2324.9494088156,
        427.1194557378,
        14.0146456805,
        2634.2277314714,
        87.3117715395,
        420.9691165835,
        0.9632078465,
        159.1244246902,
        2207.6295405954,
        778.4147831847,
        2737.32050569,
        518.6452648307,
        214.5229357154,
        212.0752551606,
        2847.5268269094,
        305.3461693927,
        319.5732633943,
        423.6774295692,
        153.4953503977,
        211.6021744086,
        145.6310438715,
        1802.3719907218,
        6.1503391543,
        776.9303104764,
        184.9879197867,
        2.9207613068,
        1251.3403846248,
        391.1734682239,
        51.2057253312,
        416.3032501375,
        182.279606801,
        627.3671133418,
        241.6102710893,
        220.9339073006,
        696.5196376166,
        387.2413149608,
        738.7972748386,
        436.8931316145,
        214.9960164674,
        337.732510659,
        1677.9385755008,
        329.7251917809,
        905.8865797915,
        439.1283638482,
        120.358249606,
        7.065362891,
        140.001969579,
        24.3790223882,
        46.470422916,
        92.0470739547,
        347.8844390456,
        980.6681783588,
        576.1613880106,
        31.019488637,
        211.8628068395,
        214.7353840365,
        2641.3412784722,
        487.3651437628,
        192.6921676185,
        1905.4647649404,
        96.8729990951,
        421.93232443,
        299.1263942692,
        221.1634019642,
        59.8037450403,
        282.4516197128,
        219.6618829134,
        444.7574381407,
        430.79097657,
        429.5189521828,
        425.8474313506,
        3340.6124266998,
        280.9671470045,
        2118.7638603784,
        831.1049812242,
        428.0826635843,
        2.9689454166,
        254.9435932136,
        418.5214360287,
        638.4128136057,
        131.4039498699,
        267.4737661858,
        2524.021410252,
        969.6224780949,
        353.301065017,
        421.1815649046,
        2840.4132799086,
        292.0128472684,
        205.4347889118,
        199.2844497575,
        273.1028404783,
        1781.0313497194,
        533.6231183577,
        264.5048207692,
        3480.3105662226,
        7.1617311106,
        1382.8873468466,
        558.0021407459,
        1044.4040766622,
        458.8415197904,
        2648.454825473,
        543.0242872189,
        227.3137411185,
        432.2272651685,
        205.6642835754,
        3127.3133312618,
        206.9363079626,
        339.2864193365,
        1994.3304451574,
        465.9550667912,
        427.3489504014,
        166.828672522,
        209.1544938538,
        1182.9215735329,
        3163.918696566,
        373.9079928365,
        233.9060232575,
        92.940845832,
        33.9402499438,
        217.4436970222,
        815.0633461142,
        6.592282139,
        212.4053235607,
        214.1928673153,
        494.2662424425,
        1699.2792165032,
        2854.6403739102,
        2538.2485042536,
        894.8408795276,
        867.4234757536,
        300.6108669775,
    ],
];

pub(crate) const Z1: [[f64; 234]; 3] = [
    [
        0.0381030832,
        0.00707598508,
        0.00144960439,
        0.00089591263,
        0.0008898208,
        0.00018761941,
        0.00018103257,
        0.00006860076,
        0.00008398809,
        0.00005939993,
        0.0000257142,
        0.00002030372,
        0.00001632449,
        0.0000112625,
        0.00001025703,
        0.00001035641,
        0.00000919338,
        0.00001025261,
        0.00000788013,
        0.00000652471,
        0.00000678403,
        0.00000546618,
        0.00000616068,
        0.00000589338,
        0.00000398211,
        0.00000342895,
        0.00000383087,
        0.00000315596,
        0.00000215621,
        0.00000208871,
        0.00000180311,
        0.00000172362,
        0.00000132928,
        0.00000141627,
        0.00000114025,
        0.00000107829,
        0.0000011325,
        0.00000096663,
        0.00000080905,
        0.00000078248,
        0.00000073767,
        0.00000058294,
        0.00000059154,
        0.00000054,
        0.00000053374,
        0.00000057043,
        0.00000052955,
        0.00000050894,
        0.00000049329,
        0.00000061047,
        0.00000053719,
        0.00000051705,
        0.00000043576,
        0.00000038478,
        0.00000037913,
        0.00000042636,
        0.00000038288,
        0.00000032052,
        0.00000037226,
        0.00000034303,
        0.00000032486,
        0.00000025209,
        0.000000326,
        0.00000028157,
        0.00000025365,
        0.00000022772,
        0.00000022874,
        0.00000021781,
        0.00000021071,
        0.00000022077,
        0.00000021851,
        0.00000022636,
        0.00000018793,
        0.00000018132,
        0.00000019127,
        0.00000015811,
        0.00000014993,
        0.00000016073,
        0.00000014177,
        0.0000001457,
        0.0000001246,
        0.0000001234,
        0.00000011994,
        0.00000015172,
        0.0000001456,
        0.00000012463,
        0.00000011186,
        0.00000011627,
        0.00000015326,
        0.00000012272,
        0.0000001506,
        0.00000011799,
        0.0000001079,
        0.00000010282,
        0.00000013027,
        0.00000010032,
        0.00000012485,
        0.00000011155,
        0.00000011678,
        0.00000009985,
        0.00000009222,
        0.00000008684,
        0.00000008772,
        0.00000008792,
        0.00000010212,
        0.00000007416,
        0.00000008681,
        0.00000008204,
        0.00000007229,
        0.00000007962,
        0.00000008152,
        0.00000007462,
        0.00000008149,
        0.00000007464,
        0.0000000655,
        0.0000000722,
        0.00000006436,
        0.00000007311,
        0.0000000704,
        0.00000006246,
        0.0000000554,
        0.0000000746,
        0.00000006689,
        0.00000005366,
        0.00000007245,
        0.00000005769,
        0.0000000653,
        0.00000005249,
        0.00000004793,
        0.00000005801,
        0.0000000471,
        0.00000005649,
        0.00000004366,
        0.00000005595,
        0.00000005094,
        0.00000004487,
        0.0000000422,
        0.0000000453,
        0.00000004076,
        0.00000004075,
        0.00000004489,
        0.00000003835,
        0.00000004075,
        0.00000004918,
        0.00000003719,
        0.00000004734,
        0.00000004537,
        0.0000000361,
        0.0000000423,
        0.00000003444,
        0.00000003432,
        0.00000003553,
        0.00000004601,
        0.00000003314,
        0.00000003264,
        0.00000003442,
        0.00000003664,
        0.00000003349,
        0.00000002971,
        0.0000000292,
        0.00000002971,
        0.00000003051,
        0.00000002774,
        0.0000000295,
        0.00000002822,
        0.00000003174,
        0.00000003041,
        0.00000002591,
        0.00000003416,
        0.00000002507,
        0.0000000235,
        0.00000002755,
        0.00000002495,
        0.00000002768,
        0.00000002238,
        0.00000002251,
        0.00000002409,
        0.00000002157,
        0.00000002003,
        0.00000002085,
        0.00000001945,
        0.00000001907,
        0.00000001861,
        0.00000001874,
        0.00000001905,
        0.00000002064,
        0.00000001878,
        0.00000002525,
        0.00000001966,
        0.00000001908,
        0.00000002056,
        0.00000002158,
        0.00000002202,
        0.00000001881,
        0.00000001707,
        0.00000002151,
        0.00000001746,
        0.00000001746,
        0.00000001795,
        0.000000017,
        0.00000001614,
        0.00000001956,
        0.00000001739,
        0.00000001553,
        0.00000001599,
        0.00000001792,
        0.00000001548,
        0.00000001619,
        0.00000001513,
        0.00000001822,
        0.00000002085,
        0.00000001939,
        0.00000001472,
        0.00000001467,
        0.00000001384,
        0.0000000181,
        0.00000001628,
        0.00000001593,
        0.00000001516,
        0.00000001181,
        0.00000001211,
        0.00000001429,
        0.00000001042,
        0.000000012,
        0.00000000967,
        0.00000000904,
        0.00000000904,
        0.00000001071,
        0.00000000815,
        0.00000000775,
        0.00000000983,
        0.0000000076,
        0.0000000076,
        0.00000000724,
    ],
    [
        5.33520316778,
        PI,
        2.301493671,
        1.69286730496,
        6.09698706089,
        1.23200112053,
        2.90933498453,
        0.84862244997,
        5.89715948074,
        0.4239656064,
        1.61235344206,
        5.1979229268,
        2.43938017095,
        2.85739547477,
        0.77676708535,
        2.45710665385,
        5.6949038032,
        3.40455226241,
        2.75643752556,
        1.66305264153,
        5.28303371104,
        0.04231005132,
        1.25272437511,
        1.25138980225,
        2.75660806272,
        1.80589354512,
        4.43945576495,
        1.62252525888,
        0.81176116742,
        1.21651777785,
        0.93555501458,
        0.22156069668,
        1.49015865779,
        1.38605092643,
        4.13401798874,
        4.67440616464,
        3.23797737561,
        5.13321545536,
        5.9720759801,
        4.68235800719,
        3.76912541093,
        4.12074427198,
        0.00909087388,
        2.6329271157,
        1.48573267831,
        1.87312646111,
        1.6532327469,
        2.68041943186,
        4.95750749572,
        0.29238361571,
        2.46146211746,
        4.60792983851,
        5.53983423151,
        2.42479516896,
        5.63475884335,
        0.46334621133,
        3.94527342286,
        2.73490028872,
        0.77640416852,
        5.53964443183,
        1.51592537935,
        5.6183246148,
        1.15985496536,
        5.03992835097,
        1.63357066215,
        3.87097220542,
        1.52589628823,
        1.25479228248,
        2.91498706203,
        6.03637528612,
        3.47826348846,
        0.42502415739,
        0.02824698856,
        0.35264011886,
        4.85094487248,
        0.06549781548,
        5.63243246457,
        5.40920567275,
        2.06003944064,
        5.68093007156,
        2.22381807104,
        5.42069314117,
        3.89295080099,
        4.88775469732,
        4.02541618429,
        5.30921040178,
        1.39522203481,
        2.81135897939,
        4.31191275758,
        2.46356221718,
        1.90080442413,
        1.46416357606,
        0.87460319256,
        5.35193913607,
        3.77267768832,
        2.41897316373,
        2.56988226727,
        4.46475107308,
        5.99973973452,
        5.55354944984,
        3.47198476691,
        3.59341160996,
        2.84157598451,
        5.77952076653,
        4.67919299694,
        2.34743956282,
        3.66196489035,
        4.0016757899,
        0.85694899722,
        6.12384852532,
        0.1785088377,
        4.54643529511,
        4.75191185936,
        5.8775842142,
        0.37942895236,
        5.2194481242,
        0.63886589467,
        0.07712493176,
        5.39023352132,
        6.10782448635,
        1.63194253275,
        2.16123164874,
        5.61849505042,
        2.54918207389,
        3.44291004853,
        0.85039589871,
        0.87136105335,
        0.71690429208,
        4.97423814367,
        0.02624779337,
        3.07134751984,
        5.76570118321,
        4.43717368507,
        1.00573470142,
        0.10066001708,
        4.79200734443,
        3.11074964024,
        2.43215667228,
        1.21943503644,
        5.52140305637,
        5.12835463313,
        4.59484102776,
        4.07912904262,
        4.36928157904,
        3.42064399733,
        5.61204474661,
        0.79869612235,
        5.94058751363,
        5.90345986772,
        2.86327846707,
        4.89216582171,
        4.80761740206,
        4.77897976995,
        3.41625676576,
        4.4552017536,
        2.57824148394,
        4.49847588517,
        1.27990783834,
        4.31371705105,
        1.64503980864,
        2.61742682364,
        5.10422803245,
        3.1410166547,
        5.37168308363,
        1.33413781392,
        1.19063213567,
        6.26099119193,
        4.52751512849,
        5.97202994093,
        0.83753919585,
        2.16713733034,
        3.61967991567,
        4.64668211731,
        4.77439427919,
        4.00121267561,
        4.90436209991,
        3.56267761888,
        3.02442510484,
        2.47564274875,
        4.09277149039,
        0.97841451672,
        3.36673783584,
        4.45402970588,
        2.73629728926,
        2.99492664264,
        5.39674851006,
        0.56676085326,
        1.19036969669,
        2.58393370207,
        2.85404393589,
        2.39618093351,
        4.97710925643,
        0.84567094644,
        1.13062277248,
        1.57935987501,
        4.06616159617,
        3.0645557577,
        5.09056895026,
        2.95316519456,
        6.05669760153,
        5.96461527769,
        2.13214810643,
        5.77930712282,
        1.32350368373,
        0.86145918975,
        0.86879017108,
        4.47085375766,
        4.79891754382,
        3.01415732754,
        2.62978911169,
        3.00604517701,
        2.25124681713,
        3.39986301851,
        4.24274724035,
        2.33959628851,
        2.02611183018,
        4.47984535594,
        1.97508934614,
        1.25225067905,
        5.09622518839,
        0.96174816662,
        2.95386700663,
        5.99222596459,
        0.65918491217,
        6.01089625149,
        0.07909774752,
        1.66925524906,
        3.60798747502,
        4.93878023673,
        3.45264409045,
        3.20558404998,
        2.28889729136,
        5.74264101239,
        4.57593199965,
    ],
    [
        213.299095438,
        0.0,
        206.1855484372,
        220.4126424388,
        426.598190876,
        419.4846438752,
        7.1135470008,
        433.7117378768,
        639.897286314,
        316.3918696566,
        227.5261894396,
        110.2063212194,
        199.0720014364,
        14.2270940016,
        632.7837393132,
        217.2312487011,
        529.6909650946,
        103.0927742186,
        210.1177017003,
        202.2533951741,
        853.196381752,
        647.0108333148,
        216.4804891757,
        209.3669421749,
        117.3198682202,
        224.3447957019,
        11.0457002639,
        323.5054166574,
        440.8252848776,
        63.7358983034,
        309.2783226558,
        735.8765135318,
        95.9792272178,
        412.3710968744,
        415.5524906121,
        846.0828347512,
        277.0349937414,
        522.5774180938,
        149.5631971346,
        215.7467759928,
        74.7815985673,
        1162.4747044078,
        1052.2683831884,
        3.1813937377,
        234.6397364404,
        423.4167971383,
        330.6189636582,
        742.9900605326,
        3.9321532631,
        422.6660376129,
        490.3340891794,
        1066.49547719,
        860.3099287528,
        430.5303441391,
        210.8514148832,
        429.7795846137,
        351.8165923087,
        21.3406410024,
        536.8045120954,
        949.1756089698,
        437.6438911399,
        203.7378678824,
        223.5940361765,
        515.463871093,
        137.0330241624,
        1478.8665740644,
        124.433415221,
        88.865680217,
        203.0041546995,
        1368.660252845,
        38.1330356378,
        127.4717966068,
        654.1243803156,
        85.8272988312,
        838.9692877504,
        302.164775655,
        214.2623032845,
        1265.5674786264,
        138.5174968707,
        942.062061969,
        213.3472795478,
        217.964961884,
        728.762966531,
        208.633228992,
        195.1398481733,
        213.2509113282,
        210.3783341312,
        231.4583427027,
        628.8515860501,
        200.7689224658,
        212.3358875915,
        218.7157214094,
        408.4389436113,
        207.6700211455,
        350.3321196004,
        10.2949407385,
        340.7708920448,
        52.6901980395,
        191.2076949102,
        76.2660712756,
        18.1592472647,
        1795.258443721,
        191.9584544356,
        1685.0521225016,
        1155.361157407,
        160.6088973985,
        222.8603229936,
        388.4651552382,
        142.4496501338,
        209.106309744,
        1.4844727083,
        625.6701923124,
        831.8557407496,
        362.8622925726,
        212.7778305762,
        1581.959348283,
        22.0914005278,
        265.9892934775,
        1258.4539316256,
        618.5566453116,
        56.6223513026,
        207.8824694666,
        483.2205421786,
        554.0699874828,
        12.5301729722,
        225.8292684102,
        213.8203602998,
        447.9388318784,
        212.5483359126,
        269.9214467406,
        1375.7737998458,
        635.9651330509,
        235.3904959658,
        70.8494453042,
        750.1036075334,
        218.9281697305,
        703.6331846174,
        216.2198567448,
        417.0369633204,
        2001.4439921582,
        1574.8458012822,
        424.1505103212,
        1279.794572628,
        1471.7530270636,
        1045.1548361876,
        9.5612275556,
        543.9180590962,
        934.9485149682,
        173.9422195228,
        106.2741679563,
        497.4476361802,
        1073.6090241908,
        288.0806940053,
        2111.6503133776,
        107.0249274817,
        113.3877149571,
        1148.2476104062,
        344.7030453079,
        219.4494345923,
        636.7158925763,
        404.5067903482,
        1898.3512179396,
        217.491881132,
        175.1660598002,
        650.9429865779,
        337.732510659,
        207.1487562837,
        565.1156877467,
        643.0786800517,
        436.8931316145,
        177.8743727859,
        114.1384744825,
        429.0458714308,
        1891.2376709388,
        284.1485407422,
        2214.7430875962,
        1169.5882514086,
        1692.1656695024,
        416.3032501375,
        1272.6810256272,
        114.3991069134,
        1059.3819301892,
        508.3503240922,
        214.0498549634,
        1361.5467058442,
        245.5424243524,
        621.7380390493,
        479.2883889155,
        99.1606209555,
        355.7487455718,
        2435.155730035,
        2317.8358618148,
        358.9301393095,
        757.2171545342,
        6069.7767545534,
        1788.1448967202,
        2008.557539159,
        220.4608265486,
        1781.0313497194,
        206.1373643274,
        867.4234757536,
        252.6559713532,
        181.0557665236,
        131.5469622218,
        81.7521332162,
        4.665866446,
        121.2520214833,
        842.1506814881,
        2428.0421830342,
        643.8294395771,
        563.6312150384,
        1677.9385755008,
        956.2891559706,
        98.8999885246,
        444.7574381407,
        2420.9286360334,
        251.4321310758,
        62.2514255951,
        425.1137181677,
        414.0680179038,
        214.7835681463,
        65.2203710117,
        151.0476698429,
        211.8146227297,
        1589.0728952838,
        213.4109700226,
        213.1872208534,
        248.7238180901,
        2.4476805548,
        198.321241911,
        312.1990839626,
        213.0866471169,
        213.5115437591,
        228.276948965,
    ],
];

pub(crate) const Z2: [[f64; 91]; 3] = [
    [
        0.00195192259,
        0.00036491216,
        0.00015091412,
        0.00019236496,
        0.00003420562,
        0.00001903731,
        0.00001553807,
        0.00001658586,
        0.00000939968,
        0.00000665875,
        0.00000727405,
        0.00000708634,
        0.00000332785,
        0.00000276129,
        0.00000246881,
        0.00000236419,
        0.00000193411,
        0.00000170756,
        0.00000154811,
        0.00000159221,
        0.00000100473,
        0.0000009085,
        0.000000776,
        0.00000072917,
        0.00000061331,
        0.00000064246,
        0.00000063778,
        0.00000041451,
        0.00000033437,
        0.00000029893,
        0.00000025877,
        0.00000017574,
        0.00000016154,
        0.00000015793,
        0.00000014438,
        0.00000013542,
        0.00000015398,
        0.00000011511,
        0.0000001409,
        0.00000014469,
        0.0000001212,
        0.000000134,
        0.00000010074,
        0.00000012614,
        0.00000010793,
        0.0000000899,
        0.00000010308,
        0.00000008308,
        0.00000009597,
        0.0000000793,
        0.00000008053,
        0.00000008834,
        0.00000007356,
        0.00000006543,
        0.00000008411,
        0.00000006909,
        0.00000006388,
        0.00000007107,
        0.00000005669,
        0.00000005034,
        0.00000004315,
        0.00000004299,
        0.00000003314,
        0.00000003489,
        0.00000003355,
        0.00000003056,
        0.00000002996,
        0.00000003361,
        0.00000002396,
        0.0000000228,
        0.00000002351,
        0.00000002515,
        0.00000002748,
        0.0000000229,
        0.0000000204,
        0.00000002084,
        0.00000002283,
        0.00000001868,
        0.0000000172,
        0.00000001849,
        0.00000001575,
        0.00000001874,
        0.00000001401,
        0.00000001369,
        0.00000001319,
        0.0000000143,
        0.00000001519,
        0.0000000125,
        0.00000000966,
        0.00000000771,
        0.00000000697,
    ],
    [
        0.50946874402,
        3.99604491617,
        6.17687148383,
        0.0,
        3.04256365132,
        1.01852901874,
        5.27527652115,
        5.05753354015,
        6.15093957163,
        1.95823182523,
        3.86689219213,
        4.14159824503,
        1.11013701815,
        4.5277220063,
        4.50860976295,
        1.02568314619,
        4.35154385844,
        2.72871130039,
        4.42812217496,
        5.67806982371,
        3.17382026227,
        5.30427538537,
        3.28475417716,
        1.06686891373,
        1.61343080245,
        3.02694204128,
        5.55207588103,
        3.33188411884,
        0.11560358087,
        6.03701243746,
        3.50813571651,
        0.22180355628,
        3.77501334464,
        1.02173188447,
        5.6052335866,
        4.81528922933,
        5.52110630605,
        4.71374175861,
        5.07886462834,
        3.60157016903,
        0.05423484257,
        0.51901182147,
        4.55389948936,
        6.15368985726,
        2.51124542537,
        6.00345025989,
        6.00841164198,
        0.68581626528,
        5.80785895962,
        5.51468008833,
        3.03363150224,
        4.47705749563,
        4.43315310489,
        4.88541538755,
        1.49318798287,
        4.48978383769,
        0.08457977809,
        0.70220678131,
        0.460490625,
        5.23865643179,
        1.63053592014,
        1.18161521312,
        5.42600783265,
        0.5317438681,
        5.23729212209,
        1.18250311873,
        5.62814654221,
        5.11461252953,
        1.84582366198,
        0.09630660324,
        1.27223026559,
        0.03375128717,
        1.32449995239,
        3.07698270979,
        5.80760536835,
        0.74674443126,
        1.77539793334,
        0.23989474559,
        1.98614962644,
        0.68415972849,
        2.31138086283,
        0.84722174143,
        3.28871251562,
        4.66184064286,
        0.58131415395,
        2.32626814584,
        0.21611173188,
        5.97999895371,
        2.64913416683,
        1.16732337173,
        0.53637719953,
    ],
    [
        213.299095438,
        206.1855484372,
        220.4126424388,
        0.0,
        419.4846438752,
        7.1135470008,
        433.7117378768,
        426.598190876,
        227.5261894396,
        316.3918696566,
        639.897286314,
        199.0720014364,
        14.2270940016,
        210.1177017003,
        103.0927742186,
        110.2063212194,
        217.2312487011,
        632.7837393132,
        647.0108333148,
        216.4804891757,
        853.196381752,
        440.8252848776,
        202.2533951741,
        117.3198682202,
        529.6909650946,
        412.3710968744,
        209.3669421749,
        309.2783226558,
        323.5054166574,
        234.6397364404,
        95.9792272178,
        3.9321532631,
        423.4167971383,
        21.3406410024,
        223.5940361765,
        429.7795846137,
        224.3447957019,
        203.0041546995,
        277.0349937414,
        860.3099287528,
        415.5524906121,
        522.5774180938,
        422.6660376129,
        330.6189636582,
        1066.49547719,
        124.433415221,
        11.0457002639,
        3.1813937377,
        63.7358983034,
        735.8765135318,
        88.865680217,
        654.1243803156,
        191.9584544356,
        625.6701923124,
        742.9900605326,
        430.5303441391,
        215.7467759928,
        949.1756089698,
        515.463871093,
        74.7815985673,
        1059.3819301892,
        210.8514148832,
        437.6438911399,
        10.2949407385,
        447.9388318784,
        942.062061969,
        728.762966531,
        536.8045120954,
        1471.7530270636,
        195.1398481733,
        231.4583427027,
        838.9692877504,
        203.7378678824,
        408.4389436113,
        1162.4747044078,
        1265.5674786264,
        846.0828347512,
        1898.3512179396,
        18.1592472647,
        1258.4539316256,
        302.164775655,
        1375.7737998458,
        1073.6090241908,
        490.3340891794,
        618.5566453116,
        1368.660252845,
        831.8557407496,
        351.8165923087,
        85.8272988312,
        217.964961884,
        628.8515860501,
    ],
];

pub(crate) const Z3: [[f64; 45]; 3] = [
    [
        0.00006552316,
        0.0000620512,
        0.00005692884,
        0.00001736879,
        0.00000450555,
        0.00000231881,
        0.00000199865,
        0.00000205985,
        0.0000024271,
        0.00000139339,
        0.00000067206,
        0.00000056299,
        0.0000005578,
        0.00000050857,
        0.00000029135,
        0.00000030392,
        0.00000025847,
        0.0000002048,
        0.00000018853,
        0.00000018881,
        0.00000017464,
        0.00000010821,
        0.00000010927,
        0.00000009297,
        0.00000007656,
        0.00000007303,
        0.00000005,
        0.00000004259,
        0.00000004838,
        0.00000003957,
        0.00000003467,
        0.00000003322,
        0.00000002905,
        0.0000000238,
        0.00000002398,
        0.0000000278,
        0.00000002787,
        0.00000001947,
        0.00000001856,
        0.00000001819,
        0.00000001959,
        0.00000001487,
        0.00000001276,
        0.00000001374,
        0.00000000804,
    ],
    [
        1.98918006303,
        5.69682939522,
        0.0,
        4.32959476351,
        4.83582005306,
        4.39490786964,
        2.33322152046,
        5.8474384597,
        3.41690207168,
        5.28736351227,
        5.62860360986,
        1.93019307649,
        0.01778616215,
        3.44381337767,
        0.23714193891,
        2.54675335277,
        3.5146471316,
        3.7210833765,
        6.1097893398,
        4.62069633304,
        4.72219191592,
        1.21499195673,
        4.30569213091,
        5.60250826661,
        5.66078016942,
        5.47485612817,
        5.51413752856,
        5.49035642189,
        0.29619340824,
        6.09695713906,
        3.7381018185,
        1.65077341966,
        4.28100382746,
        2.83328075768,
        4.14927979178,
        2.64718847967,
        0.651015678,
        1.53880195116,
        5.62026724615,
        4.80294039631,
        4.38771818896,
        3.12393556594,
        3.91936027558,
        1.28276260217,
        4.10158366806,
    ],
    [
        213.299095438,
        206.1855484372,
        0.0,
        220.4126424388,
        419.4846438752,
        227.5261894396,
        426.598190876,
        199.0720014364,
        433.7117378768,
        7.1135470008,
        14.2270940016,
        639.897286314,
        210.1177017003,
        316.3918696566,
        103.0927742186,
        647.0108333148,
        440.8252848776,
        216.4804891757,
        217.2312487011,
        632.7837393132,
        412.3710968744,
        853.196381752,
        234.6397364404,
        117.3198682202,
        309.2783226558,
        202.2533951741,
        21.3406410024,
        95.9792272178,
        110.2063212194,
        191.9584544356,
        223.5940361765,
        860.3099287528,
        323.5054166574,
        429.7795846137,
        124.433415221,
        654.1243803156,
        203.0041546995,
        209.3669421749,
        302.164775655,
        88.865680217,
        330.6189636582,
        529.6909650946,
        447.9388318784,
        1066.49547719,
        224.3447957019,
    ],
];

pub(crate) const Z4: [[f64; 22]; 3] = [
    [
        0.00000789033,
        0.00000281365,
        0.00000169515,
        0.00000157511,
        0.00000046995,
        0.00000043842,
        0.00000043114,
        0.00000028988,
        0.00000009447,
        0.00000006018,
        0.00000007462,
        0.00000004617,
        0.00000005282,
        0.00000003522,
        0.00000002258,
        0.00000002256,
        0.0000000246,
        0.00000001239,
        0.00000001449,
        0.00000001322,
        0.00000001151,
        0.00000001045,
    ],
    [
        1.11928782644,
        3.13274851308,
        PI,
        2.4663417152,
        1.27259130638,
        0.38587829145,
        2.62919688921,
        1.55482750505,
        3.85114048856,
        1.29220324867,
        3.20599530963,
        0.67712478942,
        1.71952902559,
        6.19992669453,
        0.44292528032,
        2.11084590211,
        2.50380847653,
        5.78004218066,
        5.96384491391,
        0.54271370335,
        4.86229315211,
        5.61649418233,
    ],
    [
        206.1855484372,
        213.299095438,
        0.0,
        220.4126424388,
        199.0720014364,
        419.4846438752,
        227.5261894396,
        433.7117378768,
        14.2270940016,
        426.598190876,
        7.1135470008,
        647.0108333148,
        440.8252848776,
        639.897286314,
        412.3710968744,
        210.1177017003,
        234.6397364404,
        110.2063212194,
        216.4804891757,
        853.196381752,
        117.3198682202,
        316.3918696566,
    ],
];