integrate 0.3.1

use std::{cmp::Ordering, f64::consts::PI};

use num::{one, zero, Integer, ToPrimitive, Unsigned};

use super::bessel::{bessel_j0_zeros, bessel_j1_squared};

const EVEN_THETA_ZERO_1: &[f64] = &[9.553_166_181_245_093E-1];

const EVEN_THETA_ZERO_2: &[f64] = &[1.223_899_586_470_372_6, 5.332_956_802_491_27E-1];

const EVEN_THETA_ZERO_3: &[f64] = &[
    1.329_852_612_388_110_3,
    8.483_666_264_874_876E-1,
    3.696_066_519_448_289_5E-1,
];

const EVEN_THETA_ZERO_4: &[f64] = &[
    1.386_317_078_892_131_3,
    1.017_455_539_490_153_4,
    6.490_365_804_607_796E-1,
    2.827_570_635_937_967_6E-1,
];

const EVEN_THETA_ZERO_5: &[f64] = &[
    1.421_366_498_439_525,
    1.122_539_327_631_709_5,
    8.238_386_589_997_556E-1,
    5.255_196_555_285_001E-1,
    2.289_442_988_470_260_2E-1,
];

const EVEN_THETA_ZERO_6: &[f64] = &[
    1.445_233_238_471_440_1,
    1.194_120_375_947_706_6,
    9.430_552_870_605_736E-1,
    6.921_076_988_818_41E-1,
    4.414_870_814_893_317_5E-1,
    1.923_346_793_046_672_2E-1,
];

const EVEN_THETA_ZERO_7: &[f64] = &[
    1.462_529_992_921_482,
    1.246_003_586_776_677_7,
    1.029_498_592_525_136_8,
    8.130_407_055_389_455E-1,
    5.966_877_608_172_734E-1,
    3.806_189_306_666_775E-1,
    1.658_171_411_523_664E-1,
];

const EVEN_THETA_ZERO_8: &[f64] = &[
    1.475_640_280_808_194_3,
    1.285_331_444_322_965_3,
    1.095_033_401_803_444_4,
    9.047_575_323_895_165E-1,
    7.145_252_532_340_252E-1,
    5.243_866_409_035_941E-1,
    3.344_986_386_876_292E-1,
    1.457_246_820_036_738_3E-1,
];

const EVEN_THETA_ZERO_9: &[f64] = &[
    1.485_919_440_392_653,
    1.316_167_494_718_022_6,
    1.146_421_481_056_642_2,
    9.766_871_104_439_833E-1,
    8.069_738_930_788_195E-1,
    6.373_005_058_706_191E-1,
    4.677_113_145_328_286E-1,
    2.983_460_782_092_325E-1,
    1.299_747_364_196_768_3E-1,
];

const EVEN_THETA_ZERO_10: &[f64] = &[
    1.494_194_914_310_399_6,
    1.340_993_178_589_955_1,
    1.187_794_926_634_098_8,
    1.034_603_297_590_104_3,
    8.814_230_742_890_136E-1,
    7.282_625_848_696_073E-1,
    5.751_385_026_314_285E-1,
    4.220_907_301_111_166E-1,
    2.692_452_880_289_302E-1,
    1.172_969_277_059_561_4E-1,
];

const EVEN_THETA_ZERO_11: &[f64] = &[
    1.501_000_399_130_816,
    1.361_409_225_664_372_2,
    1.221_820_208_990_359_8,
    1.082_235_198_111_836_8,
    9.426_568_273_796_608E-1,
    8.030_892_957_063_359E-1,
    6.635_400_754_448_063E-1,
    5.240_242_709_487_282E-1,
    3.845_781_703_583_911E-1,
    2.453_165_389_983_612_8E-1,
    1.068_723_357_985_26E-1,
];

const EVEN_THETA_ZERO_12: &[f64] = &[
    1.506_695_545_558_101,
    1.378_494_427_506_219_2,
    1.250_294_703_417_273,
    1.122_097_523_267_250_8,
    9.939_044_422_989_455E-1,
    8.657_177_770_401_081E-1,
    7.375_413_075_437_536E-1,
    6.093_818_382_449_566E-1,
    4.812_531_951_313_686_6E-1,
    3.531_886_675_690_781E-1,
    2.252_936_226_353_075_8E-1,
    9.814_932_949_793_685E-2,
];

const EVEN_THETA_ZERO_13: &[f64] = &[
    1.511_531_546_703_289_3,
    1.393_002_286_179_808,
    1.274_473_959_424_494,
    1.155_947_313_793_812,
    1.037_423_319_077_439_1,
    9.189_033_445_598_993E-1,
    8.003_894_803_353_296E-1,
    6.818_851_814_129_299E-1,
    5.633_967_073_169_294E-1,
    4.449_368_152_119_130_3E-1,
    3.265_362_611_165_358_3E-1,
    2.082_924_425_598_466_4E-1,
    9.074_274_842_993_199E-2,
];

const EVEN_THETA_ZERO_14: &[f64] = &[
    1.515_689_149_557_281,
    1.405_475_003_062_348_6,
    1.295_261_501_292_316,
    1.185_049_147_889_021_5,
    1.074_838_574_917_869_3,
    9.646_306_371_285_441E-1,
    8.544_265_718_392_254E-1,
    7.442_282_945_111_358E-1,
    6.340_389_954_584_301E-1,
    5.238_644_768_825_68E-1,
    4.137_165_857_369_638E-1,
    3.036_239_070_914_334E-1,
    1.936_769_929_947_376_2E-1,
    8.437_551_461_511_597E-2,
];

const EVEN_THETA_ZERO_15: &[f64] = &[
    1.519_301_729_274_526_6,
    1.416_312_682_230_741_7,
    1.313_324_092_045_794_7,
    1.210_336_308_624_476_5,
    1.107_349_759_228_459_1,
    1.004_365_001_539_081,
    9.013_828_087_667_156E-1,
    7.984_043_170_121_236E-1,
    6.954_313_000_299_367E-1,
    5.924_667_257_887_386E-1,
    4.895_160_050_896_97E-1,
    3.865_901_987_860_505E-1,
    2.837_160_095_793_467E-1,
    1.809_780_449_917_272E-1,
    7.884_320_726_554_946E-2,
];

const EVEN_THETA_ZERO_16: &[f64] = &[
    1.522_469_852_641_529_2,
    1.425_817_011_963_825_4,
    1.329_164_502_391_080_7,
    1.232_512_573_416_362_9,
    1.135_861_522_840_293_7,
    1.039_211_728_068_951_7,
    9.425_636_940_046_778E-1,
    8.459_181_315_837_994E-1,
    7.492_760_951_181_414E-1,
    6.526_392_394_594_561E-1,
    5.560_103_418_005_303E-1,
    4.593_944_730_762_095_6E-1,
    3.628_020_075_350_028E-1,
    2.662_579_994_723_86E-1,
    1.698_418_454_282_15E-1,
    7.399_171_309_970_96E-2,
];

const EVEN_THETA_ZERO_17: &[f64] = &[
    1.525_270_780_617_194_3,
    1.434_219_768_045_409_6,
    1.343_169_000_217_436,
    1.252_118_659_062_444_5,
    1.161_068_957_629_157_7,
    1.070_020_159_291_475,
    9.789_726_059_789_103E-1,
    8.879_267_623_988_12E-1,
    7.968_832_893_748_415E-1,
    7.058_431_727_509_84E-1,
    6.148_079_652_926_101E-1,
    5.237_802_779_694_73E-1,
    4.327_648_832_448_234_3E-1,
    3.417_715_500_266_717_6E-1,
    2.508_238_767_288_224E-1,
    1.599_966_542_668_327_7E-1,
    6.970_264_809_814_095E-2,
];

const EVEN_THETA_ZERO_18: &[f64] = &[
    1.527_764_849_261_740_4,
    1.441_701_954_349_064_8,
    1.355_639_243_522_655,
    1.269_576_852_063_768_5,
    1.183_514_935_851_550_7,
    1.097_453_683_555_812_6,
    1.011_393_333_949_027,
    9.253_342_019_812_867E-1,
    8.392_767_201_322_476E-1,
    7.532_215_073_977_623E-1,
    6.671_694_908_788_198E-1,
    5.811_221_342_350_705E-1,
    4.950_819_018_993_074_5E-1,
    4.090_533_017_972_007_3E-1,
    3.230_455_648_729_988E-1,
    2.370_809_940_997_937E-1,
    1.512_302_802_537_625E-1,
    6.588_357_082_399_222E-2,
];

const EVEN_THETA_ZERO_19: &[f64] = &[
    1.529_999_863_223_206_6,
    1.448_406_982_124_841_8,
    1.366_814_241_651_488_8,
    1.285_221_744_143_731_7,
    1.203_629_605_904_952_7,
    1.122_037_965_173_752,
    1.040_446_993_107_623_5,
    9.588_569_097_730_896E-1,
    8.772_680_085_516_152E-1,
    7.956_806_951_062_013E-1,
    7.140_955_526_031_66E-1,
    6.325_134_568_448_222E-1,
    5.509_357_927_460_005E-1,
    4.693_648_943_475_422_5E-1,
    3.878_050_333_015_201_6E-1,
    3.062_649_591_511_897E-1,
    2.247_658_146_033_686_4E-1,
    1.433_746_167_818_849_6E-1,
    6.246_124_541_276_674E-2,
];

const EVEN_THETA_ZERO_20: &[f64] = &[
    1.532_014_188_279_762_9,
    1.454_449_946_977_268_5,
    1.376_885_814_601_482_6,
    1.299_321_869_764_876_5,
    1.221_758_200_747_475_2,
    1.144_194_910_846_247_5,
    1.066_632_125_552_939_8,
    9.890_700_026_972_187E-1,
    9.115_087_474_225_932E-1,
    8.339_486_352_158_799E-1,
    7.563_900_488_174_808E-1,
    6.788_335_401_193_977E-1,
    6.012_799_395_312_685E-1,
    5.237_305_617_022_756E-1,
    4.461_876_237_541_810_3E-1,
    3.686_551_849_119_556_5E-1,
    2.911_415_613_085_159E-1,
    2.136_668_503_694_680_6E-1,
    1.362_947_587_312_225E-1,
    5.937_690_028_966_412E-2,
];

const EVEN_THETA_ZERO_21: &[f64] = &[
    1.533_838_971_193_864_3,
    1.459_924_288_056_445,
    1.386_009_690_354_997,
    1.312_095_239_305_276_7,
    1.238_181_002_944_536,
    1.164_267_059_803_796_7,
    1.090_353_503_721_897_7,
    1.016_440_450_472_067_4,
    9.425_280_472_651_469E-1,
    8.686_164_868_955_468E-1,
    7.947_060_295_895_204E-1,
    7.207_970_381_018_823E-1,
    6.468_900_366_403_721E-1,
    5.729_858_150_363_659E-1,
    4.990_856_247_464_946E-1,
    4.251_915_773_724_379E-1,
    3.513_075_400_485_981_5E-1,
    2.774_414_365_914_336E-1,
    2.036_124_177_925_793_5E-1,
    1.298_811_916_061_515_8E-1,
    5.658_282_534_660_210_4E-2,
];

const EVEN_THETA_ZERO_22: &[f64] = &[
    1.535_499_761_264_077_3,
    1.464_906_652_494_521_6,
    1.394_313_611_500_109_4,
    1.323_720_686_538_524_3,
    1.253_127_930_763_391,
    1.182_535_404_796_98,
    1.111_943_180_033_868_6,
    1.041_351_343_083_674_3,
    9.707_600_019_805_773E-1,
    9.001_692_951_667_51E-1,
    8.295_794_049_297_956E-1,
    7.589_905_782_114_329E-1,
    6.884_031_600_807_736E-1,
    6.178_176_499_732_537E-1,
    5.472_348_011_493_452E-1,
    4.766_558_078_624_76E-1,
    4.060_826_859_477_620_3E-1,
    3.355_191_279_517_094E-1,
    2.649_727_008_485_465_7E-1,
    1.944_616_940_738_156_4E-1,
    1.240_440_866_043_499_3E-1,
    5.403_988_657_613_871_5E-2,
];

const EVEN_THETA_ZERO_23: &[f64] = &[
    1.537_017_713_608_81,
    1.469_460_505_124_226_7,
    1.401_903_350_962_364_6,
    1.334_346_289_590_505_4,
    1.266_789_363_044_4,
    1.199_232_618_763_735,
    1.131_676_111_906_105_6,
    1.064_119_908_394_702_6,
    9.965_640_890_815_035E-1,
    9.290_087_556_203_499E-1,
    8.614_540_390_091_103E-1,
    7.939_001_124_053_586E-1,
    7.263_472_110_048_245E-1,
    6.587_956_640_463_587E-1,
    5.912_459_486_086_227E-1,
    5.236_987_847_717_838E-1,
    4.561_553_147_193_392E-1,
    3.886_174_669_444_433E-1,
    3.210_887_745_896_478_5E-1,
    2.535_764_786_314_617E-1,
    1.860_980_813_776_342_6E-1,
    1.187_090_676_924_131_3E-1,
    5.171_568_198_966_902E-2,
];

const EVEN_THETA_ZERO_24: &[f64] = &[
    1.538_410_494_858_190_5,
    1.473_638_845_472_166,
    1.408_867_240_039_222_8,
    1.344_095_709_533_508_7,
    1.279_324_287_566_779_6,
    1.214_553_011_719_529,
    1.149_781_925_191_718_5,
    1.085_011_078_936_665_8,
    1.020_240_534_516_704_3,
    9.554_703_680_422_405E-1,
    8.907_006_757_608_307E-1,
    8.259_315_822_134_856E-1,
    7.611_632_524_946_588E-1,
    6.963_959_112_887_658E-1,
    6.316_298_735_371_144E-1,
    5.668_655_960_010_827E-1,
    5.021_037_684_870_694E-1,
    4.373_454_855_522_296_3E-1,
    3.725_925_956_833_896_5E-1,
    3.078_484_858_841_617E-1,
    2.431_200_981_264_999_3E-1,
    1.784_242_126_043_536_8E-1,
    1.138_140_258_514_833_1E-1,
    4.958_315_373_802_413E-2,
];

const EVEN_THETA_ZERO_25: &[f64] = &[
    1.539_692_973_716_708_4,
    1.477_486_279_394_502_3,
    1.415_279_620_944_410_3,
    1.353_073_023_537_942_7,
    1.290_866_514_321_281,
    1.228_660_123_395_079_6,
    1.166_453_885_011_658_6,
    1.104_247_839_096_738,
    1.042_042_033_248_543_2,
    9.798_365_254_403_235E-1,
    9.176_313_877_712_592E-1,
    8.554_267_118_081_827E-1,
    7.932_226_163_976_801E-1,
    7.310_192_594_231_56E-1,
    6.688_168_560_730_805E-1,
    6.066_157_082_814_543E-1,
    5.444_162_542_389_049E-1,
    4.822_191_559_963_931E-1,
    4.200_254_643_636_986_4E-1,
    3.578_369_542_536_859_5E-1,
    2.956_568_781_922_605_5E-1,
    2.334_919_029_083_292_7E-1,
    1.713_581_437_497_397_3E-1,
    1.093_066_902_335_822_9E-1,
    4.761_952_998_197_036E-2,
];

const EVEN_THETA_ZERO_26: &[f64] = &[
    1.540_877_753_740_080_4,
    1.481_040_617_373_741_4,
    1.421_203_510_518_656_7,
    1.361_366_453_804_322_9,
    1.301_529_469_356_044_4,
    1.241_692_581_525_935_6,
    1.181_855_817_774_264_6,
    1.122_019_209_772_750_4,
    1.062_182_794_829_879_7,
    1.002_346_617_783_007_4,
    9.425_107_335_729_934E-1,
    8.826_752_108_319_278E-1,
    8.228_401_370_047_382E-1,
    7.630_056_258_499_811E-1,
    7.031_718_287_376_428E-1,
    6.433_389_522_119_554E-1,
    5.835_072_863_023_427E-1,
    5.236_772_521_416_453E-1,
    4.638_494_862_268_433E-1,
    4.040_249_990_308_91E-1,
    3.442_054_975_680_11E-1,
    2.843_941_101_955_779E-1,
    2.245_972_494_281_052E-1,
    1.648_304_164_747_05E-1,
    1.051_427_544_146_6E-1,
    4.580_550_859_172_368E-2,
];

const EVEN_THETA_ZERO_27: &[f64] = &[
    1.541_975_588_842_621_9,
    1.484_334_121_018_556_6,
    1.426_692_677_652_359,
    1.369_051_275_783_071_5,
    1.311_409_933_595_115,
    1.253_768_670_970_438,
    1.196_127_510_146_226_3,
    1.138_486_476_526_912_5,
    1.080_845_599_717_322,
    1.023_204_914_871_722_8,
    9.655_644_644_970_043E-1,
    9.079_243_009_168_823E-1,
    8.502_844_897_148_264E-1,
    7.926_451_146_568_313E-1,
    7.350_062_849_078_711E-1,
    6.773_681_459_074_923E-1,
    6.197_308_962_817_025E-1,
    5.620_948_151_095_423E-1,
    5.044_603_077_892_199E-1,
    4.468_279_872_027_509E-1,
    3.891_988_265_038_339E-1,
    3.315_744_698_431_505_3E-1,
    2.739_579_305_700_526E-1,
    2.163_553_856_859_194E-1,
    1.587_817_673_749_480_4E-1,
    1.012_844_151_694_839_4E-1,
    4.412_462_056_235_422E-2,
];

const EVEN_THETA_ZERO_28: &[f64] = &[
    1.542_995_710_582_549,
    1.487_394_484_904_746_7,
    1.431_793_279_635_669_4,
    1.376_192_108_950_239_4,
    1.320_590_987_909_222_6,
    1.264_989_932_881_031_5,
    1.209_388_962_038_684,
    1.153_788_095_965_648_1,
    1.098_187_358_416_032_9,
    1.042_586_777_292_403,
    9.869_863_859_317_283E-1,
    9.313_862_248_321_055E-1,
    8.757_863_440_192_766E-1,
    8.201_868_063_589_761E-1,
    7.645_876_922_981_546E-1,
    7.089_891_068_198_45E-1,
    6.533_911_899_285_832E-1,
    5.977_941_329_592_258E-1,
    5.421_982_048_745_54E-1,
    4.866_037_965_045_89E-1,
    4.310_114_988_353_694E-1,
    3.754_222_503_860_499E-1,
    3.198_376_369_331_602E-1,
    2.642_605_649_958_747_5E-1,
    2.086_969_927_688_101E-1,
    1.531_613_237_261_629E-1,
    9.769_922_156_300_583E-2,
    4.256_272_861_907_242_6E-2,
];

const EVEN_THETA_ZERO_29: &[f64] = &[
    1.543_946_088_331_101_6,
    1.490_245_617_072_432_7,
    1.436_545_162_952_171_3,
    1.382_844_737_841_275_6,
    1.329_144_354_302_189_5,
    1.275_444_025_914_442_8,
    1.221_743_767_654_456_5,
    1.168_043_596_353_244_5,
    1.114_343_531_263_457_3,
    1.060_643_594_778_787_1,
    1.006_943_813_366_184_8,
    9.532_442_187_977_768E-1,
    8.995_448_498_101_764E-1,
    8.458_457_543_830_885E-1,
    7.921_469_929_325_243E-1,
    7.384_486_428_849_507E-1,
    6.847_508_053_901_545E-1,
    6.310_536_154_445_759E-1,
    5.773_572_576_394_624E-1,
    5.236_619_915_567_429E-1,
    4.699_681_944_935_857_3E-1,
    4.162_764_370_726_534E-1,
    3.625_876_255_789_86E-1,
    3.089_032_914_359_211E-1,
    2.552_262_416_643_531_5E-1,
    2.015_622_306_384_971_8E-1,
    1.479_251_692_966_708E-1,
    9.435_916_010_280_74E-2,
    4.110_762_866_287_674E-2,
];

const EVEN_THETA_ZERO_30: &[f64] = &[
    1.544_833_637_851_665_4,
    1.492_908_264_756_388_3,
    1.440_982_906_138_650_8,
    1.389_057_572_001_580_3,
    1.337_132_272_892_735,
    1.285_207_020_157_876_7,
    1.233_281_826_234_298_4,
    1.181_356_705_000_596_6,
    1.129_431_672_204_958_9,
    1.077_506_746_001_711_4,
    1.025_581_947_637_229_2,
    9.736_573_023_432_582E-1,
    9.217_328_405_213_548E-1,
    8.698_085_993_416_728E-1,
    8.178_846_249_414_538E-1,
    7.659_609_755_086_193E-1,
    7.140_377_257_012_462E-1,
    6.621_149_731_355_526E-1,
    6.101_928_481_720_243E-1,
    5.582_715_291_407_655E-1,
    5.063_512_668_959_282E-1,
    4.544_324_261_262_307E-1,
    4.025_155_584_642_65E-1,
    3.506_015_401_168_134E-1,
    2.986_918_517_703_509_6E-1,
    2.467_892_075_469_457_2E-1,
    1.948_991_714_956_708E-1,
    1.430_351_946_011_564E-1,
    9.123_992_133_264_713E-2,
    3.974_873_026_126_591_5E-2,
];

const EVEN_THETA_ZERO_31: &[f64] = &[
    1.545_664_389_841_685_7,
    1.495_400_520_006_868_5,
    1.445_136_662_469_633_3,
    1.394_872_825_707_861,
    1.344_609_018_631_531_6,
    1.294_345_250_782_284_1,
    1.244_081_532_562_166_4,
    1.193_817_875_503_760_3,
    1.143_554_292_597_403,
    1.093_290_798_696_378,
    1.043_027_411_028_491_8,
    9.927_641_498_535_134E-1,
    9.425_010_393_224_361E-1,
    8.922_381_086_194_002E-1,
    8.419_753_935_054_036E-1,
    7.917_129_384_431_113E-1,
    7.414_507_995_789_215E-1,
    6.911_890_490_185_72E-1,
    6.409_277_811_053_988E-1,
    5.906_671_218_914_769E-1,
    5.404_072_438_741_682E-1,
    4.901_483_897_634_233E-1,
    4.398_909_124_691_514E-1,
    3.896_353_458_699_818_3E-1,
    3.393_825_380_385_225E-1,
    2.891_339_221_891_95E-1,
    2.388_921_255_071_779_8E-1,
    1.886_625_339_124_777_5E-1,
    1.384_581_678_870_181_7E-1,
    8.832_030_722_827_103E-2,
    3.847_679_847_963_677E-2,
];

const EVEN_THETA_ZERO_32: &[f64] = &[
    1.546_443_627_125_265_5,
    1.497_738_231_263_909_4,
    1.449_032_845_902_631_4,
    1.400_327_478_265_391_2,
    1.351_622_135_921_669,
    1.302_916_826_944_702_5,
    1.254_211_560_091_483_6,
    1.205_506_345_013_417,
    1.156_801_192_508_980_7,
    1.108_096_114_833_249_5,
    1.059_391_126_084_216_6,
    1.010_686_242_693_214,
    9.619_814_840_575_053E-1,
    9.132_768_733_691_264E-1,
    8.645_724_387_181_842E-1,
    8.158_682_145_859_558E-1,
    7.671_642_439_014_559E-1,
    7.184_605_809_290_07E-1,
    6.697_572_954_095_121E-1,
    6.210_544_786_425_143E-1,
    5.723_522_526_623_284E-1,
    5.236_507_845_164_78E-1,
    4.749_503_092_950_064E-1,
    4.262_511_688_770_346E-1,
    3.775_538_805_043_669E-1,
    3.288_592_658_750_794E-1,
    2.801_687_136_893_754E-1,
    2.314_847_695_998_852_6E-1,
    1.828_126_524_563_463_4E-1,
    1.341_649_789_468_091_2E-1,
    8.558_174_883_654_483E-2,
    3.728_374_374_031_613E-2,
];

const EVEN_THETA_ZERO_33: &[f64] = &[
    1.547_175_997_094_614_8,
    1.499_935_340_679_181_6,
    1.452_694_693_272_706_3,
    1.405_454_061_061_769,
    1.358_213_450_511_184_3,
    1.310_972_868_490_444_3,
    1.263_732_322_416_537_8,
    1.216_491_820_419_724_1,
    1.169_251_371_540_540_2,
    1.122_010_985_968_754,
    1.074_770_675_338_453_4,
    1.027_530_453_098_431_5,
    9.802_903_349_842_006E-1,
    9.330_503_396_284_544E-1,
    8.858_104_893_623_263E-1,
    8.385_708_112_832_335E-1,
    7.913_313_387_011_139E-1,
    7.440_921_131_314_511E-1,
    6.968_531_870_945_337E-1,
    6.496_146_281_309_019E-1,
    6.023_765_246_993_705E-1,
    5.551_389_950_762_09E-1,
    5.079_022_012_032_895E-1,
    4.606_663_710_240_283E-1,
    4.134_318_360_639_670_5E-1,
    3.661_990_979_414_349E-1,
    3.189_689_535_781_378_7E-1,
    2.717_427_498_485_402E-1,
    2.245_229_557_871_702_7E-1,
    1.773_146_332_323_969_3E-1,
    1.301_300_193_754_780_8E-1,
    8.300_791_095_077_07E-2,
    3.616_244_959_900_389_4E-2,
];

const EVEN_THETA_ZERO_34: &[f64] = &[
    1.547_865_604_457_777_7,
    1.502_004_162_357_357_2,
    1.456_142_728_021_903_7,
    1.410_281_306_774_684_7,
    1.364_419_904_164_498_2,
    1.318_558_526_067_441,
    1.272_697_178_801_115_2,
    1.226_835_869_256_177_6,
    1.180_974_605_051_351,
    1.135_113_394_719_709,
    1.089_252_247_936_466_6,
    1.043_391_175_801_911_2,
    9.975_301_911_979_639E-1,
    9.516_693_092_438_447E-1,
    9.058_085_478_865_098E-1,
    8.599_479_286_766_251E-1,
    8.140_874_778_035_997E-1,
    7.682_272_274_981_821E-1,
    7.223_672_179_660_644E-1,
    6.765_075_001_043_38E-1,
    6.306_481_393_987_597E-1,
    5.847_892_216_487_433E-1,
    5.389_308_616_059_791E-1,
    4.930_732_164_176_132_6E-1,
    4.472_165_073_094_733E-1,
    4.013_610_560_689_044E-1,
    3.555_073_496_130_768_4E-1,
    3.096_561_615_434_305E-1,
    2.638_087_993_597_793_6E-1,
    2.179_676_599_607_749E-1,
    1.721_376_573_496_165_9E-1,
    1.263_306_713_881_449_7E-1,
    8.058_436_603_519_718E-2,
    3.510_663_068_970_053E-2,
];

const EVEN_THETA_ZERO_35: &[f64] = &[
    1.548_516_088_202_564_1,
    1.503_955_613_246_578,
    1.459_395_145_012_190_3,
    1.414_834_688_100_222_7,
    1.370_274_247_295_441_4,
    1.325_713_827_649_021_5,
    1.281_153_434_570_536_2,
    1.236_593_073_933_169,
    1.192_032_752_196_711,
    1.147_472_476_554_108_4,
    1.102_912_255_109_027_6,
    1.058_352_097_094_263_3,
    1.013_792_013_144_153_1,
    9.692_320_156_388_929E-1,
    9.246_721_191_454_418E-1,
    8.801_123_409_896_301E-1,
    8.355_527_020_087_518E-1,
    7.909_932_275_560_464E-1,
    7.464_339_488_624_694E-1,
    7.018_749_049_145_359E-1,
    6.573_161_450_929_18E-1,
    6.127_577_329_584_495E-1,
    5.681_997_518_140_861E-1,
    5.236_423_130_979_095E-1,
    4.790_855_694_444_513E-1,
    4.345_297_357_523_596E-1,
    3.899_751_246_318_783E-1,
    3.454_222_091_410_985E-1,
    3.008_717_408_917_774E-1,
    2.563_249_902_500_919E-1,
    2.117_842_860_782_108E-1,
    1.672_544_029_381_416E-1,
    1.227_468_836_419_337_3E-1,
    7.829_832_364_814_668E-2,
    3.411_071_484_766_34E-2,
];

const EVEN_THETA_ZERO_36: &[f64] = &[
    1.549_130_685_823_946,
    1.505_799_405_819_664_2,
    1.462_468_131_657_470_4,
    1.419_136_867_330_461_4,
    1.375_805_616_982_639,
    1.332_474_384_976_155_3,
    1.289_143_175_965_912_9,
    1.245_811_994_984_327_2,
    1.202_480_847_539_690_4,
    1.159_149_739_732_435_7,
    1.115_818_678_394_807_9,
    1.072_487_671_261_111_6,
    1.029_156_727_178_025_5,
    9.858_258_563_677_261E-1,
    9.424_950_707_611_702E-1,
    8.991_643_844_255_134E-1,
    8.558_338_141_192_846E-1,
    8.125_033_800_232_146E-1,
    7.691_731_067_161_328E-1,
    7.258_430_244_984_031E-1,
    6.825_131_712_172_896E-1,
    6.391_835_948_321_686E-1,
    5.958_543_570_955_633E-1,
    5.525_255_389_612_024E-1,
    5.091_972_487_450_747E-1,
    4.658_696_348_260_689E-1,
    4.225_429_061_321_313_6E-1,
    3.792_173_666_095_906_6E-1,
    3.358_934_762_285_008_5E-1,
    2.925_719_658_301_625_4E-1,
    2.492_540_707_015_179_5E-1,
    2.059_420_554_273_186_4E-1,
    1.626_405_628_266_887E-1,
    1.193_608_172_622_853_8E-1,
    7.613_840_464_754_681E-2,
    3.316_974_474_186_059E-2,
];

const EVEN_THETA_ZERO_37: &[f64] = &[
    1.549_712_287_207_882_8,
    1.507_544_209_724_862_6,
    1.465_376_137_339_015_7,
    1.423_208_073_529_702_8,
    1.381_040_021_900_765_2,
    1.338_871_986_235_691_3,
    1.296_703_970_558_498_6,
    1.254_535_979_202_491_3,
    1.212_368_016_889_501,
    1.170_200_088_822_853_4,
    1.128_032_200_798_161_8,
    1.085_864_359_337_236_6,
    1.043_696_571_852_037_5,
    1.001_528_846_847_853_8,
    9.593_611_941_780_779E-1,
    9.171_936_253_674_232E-1,
    8.750_261_540_268_988E-1,
    8.328_587_963_932_301E-1,
    7.906_915_720_393_252E-1,
    7.485_245_048_233_193E-1,
    7.063_576_241_759_075E-1,
    6.641_909_668_761_97E-1,
    6.220_245_795_476_037E-1,
    5.798_585_222_396_646E-1,
    5.376_928_736_905_555E-1,
    4.955_277_392_687_366_7E-1,
    4.533_632_633_323_484E-1,
    4.111_996_491_651_494E-1,
    3.690_371_925_202_636E-1,
    3.268_763_409_876_008E-1,
    2.847_178_057_580_674_3E-1,
    2.425_627_889_274_157E-1,
    2.004_134_942_584_602E-1,
    1.582_744_399_049_656_7E-1,
    1.161_565_488_818_554_6E-1,
    7.409_445_176_394_482E-2,
    3.227_929_535_095_246E-2,
];

const EVEN_THETA_ZERO_38: &[f64] = &[
    1.550_263_480_064_160_4,
    1.509_197_788_083_808_1,
    1.468_132_100_566_875_7,
    1.427_066_420_556_418_5,
    1.386_000_751_198_713,
    1.344_935_095_788_765_1,
    1.303_869_457_820_298_5,
    1.262_803_841_041_883,
    1.221_738_249_521_212_8,
    1.180_672_687_719_991_1,
    1.139_607_160_582_508,
    1.098_541_673_641_859,
    1.057_476_233_148_907_8,
    1.016_410_846_230_700_9,
    9.753_455_210_872_528E-1,
    9.342_802_672_387_127E-1,
    8.932_150_958_393_124E-1,
    8.521_500_200_807_685E-1,
    8.110_850_557_169_691E-1,
    7.700_202_217_553_082E-1,
    7.289_555_413_804_263E-1,
    6.878_910_432_074_51E-1,
    6.468_267_630_110_35E-1,
    6.057_627_461_556_542E-1,
    5.646_990_510_834_698E-1,
    5.236_357_544_389_876E-1,
    4.825_729_588_028_297_4E-1,
    4.415_108_047_277_878E-1,
    4.004_494_901_533_595E-1,
    3.593_893_030_723_592E-1,
    3.183_306_793_460_978E-1,
    2.772_743_115_465_352_6E-1,
    2.362_213_703_174_824E-1,
    1.951_740_017_836_102_2E-1,
    1.541_366_059_551_230_7E-1,
    1.131_198_202_589_879E-1,
    7.215_736_988_593_89E-2,
    3.143_540_438_351_455E-2,
];

const EVEN_THETA_ZERO_39: &[f64] = &[
    1.550_786_588_415_152_4,
    1.510_767_112_957_397_4,
    1.470_747_641_421_583,
    1.430_728_176_478_592_9,
    1.390_708_720_885_325,
    1.350_689_277_522_434_6,
    1.310_669_849_435_604_6,
    1.270_650_439_881_648_3,
    1.230_631_052_380_981_6,
    1.190_611_690_778_359,
    1.150_592_359_314_214_4,
    1.110_573_062_709_577,
    1.070_553_806_268_363_3,
    1.030_534_596_002_003_4,
    9.905_154_387_828_985E-1,
    9.504_963_425_353_942E-1,
    9.104_773_164_759_499E-1,
    8.704_583_714_184_727E-1,
    8.304_395_201_669_024E-1,
    7.904_207_780_260_52E-1,
    7.504_021_634_749_075E-1,
    7.103_836_990_664_584E-1,
    6.703_654_126_486_746E-1,
    6.303_473_390_491_956E-1,
    5.903_295_224_434_432E-1,
    5.503_120_197_533_818E-1,
    5.102_949_056_413_983E-1,
    4.702_782_800_468_414_7E-1,
    4.302_622_799_152_492E-1,
    3.902_470_981_180_917E-1,
    3.502_330_152_869_736_5E-1,
    3.102_204_561_556_976_5E-1,
    2.702_100_956_292_792E-1,
    2.302_030_745_053_307_3E-1,
    1.902_014_842_102_915E-1,
    1.502_096_126_336_221_2E-1,
    1.102_378_261_690_820_9E-1,
    7.031_899_075_931_525E-2,
    3.063_451_333_411_226_4E-2,
];

const EVEN_THETA_ZERO_40: &[f64] = &[
    1.551_283_705_347_968_2,
    1.512_258_463_601_911,
    1.473_233_225_313_284_7,
    1.434_207_992_834_186_2,
    1.395_182_768_588_723_3,
    1.356_157_555_104_474_2,
    1.317_132_355_046_745_8,
    1.278_107_171_256_65,
    1.239_082_006_794_203_2,
    1.200_056_864_987_904_4,
    1.161_031_749_492_588_6,
    1.122_006_664_357_811_7,
    1.082_981_614_109_627_3,
    1.043_956_603_849_447_7,
    1.004_931_639_374_79,
    9.659_067_273_282_46E-1,
    9.268_818_753_831_083E-1,
    8.878_570_924_770_502E-1,
    8.488_323_891_094_103E-1,
    8.098_077_777_236_123E-1,
    7.707_832_732_049_53E-1,
    7.317_588_935_368_493E-1,
    6.927_346_606_780_251E-1,
    6.537_106_017_528_971E-1,
    6.146_867_506_941_757E-1,
    5.756_631_505_519_365E-1,
    5.366_398_568_077_528E-1,
    4.976_169_422_443_344_5E-1,
    4.585_945_042_946_725E-1,
    4.195_726_764_797_194E-1,
    3.805_516_468_579_533_4E-1,
    3.415_316_890_685_594E-1,
    3.025_132_172_735_989E-1,
    2.634_968_895_917_008_7E-1,
    2.244_838_184_598_823_6E-1,
    1.854_760_433_267_094_7E-1,
    1.464_777_455_344_068_4E-1,
    1.074_990_339_130_794_8E-1,
    6.857_195_785_426_973E-2,
    2.987_341_732_561_906_6E-2,
];

const EVEN_THETA_ZERO_41: &[f64] = &[
    1.551_756_721_003_315_4,
    1.513_677_510_435_354_8,
    1.475_598_302_924_815,
    1.437_519_100_549_654_1,
    1.399_439_905_448_387,
    1.361_360_719_846_430_4,
    1.323_281_546_084_682_5,
    1.285_202_386_651_141_5,
    1.247_123_244_216_506_8,
    1.209_044_121_674_894_4,
    1.170_965_022_191_058_4,
    1.132_885_949_255_841_4,
    1.094_806_906_752_030_7,
    1.056_727_899_033_393_5,
    1.018_648_931_020_478_7,
    9.805_700_083_178_549E-1,
    9.424_911_373_589_552E-1,
    9.044_123_255_867_554E-1,
    8.663_335_816_813_894E-1,
    8.282_549_158_498_738E-1,
    7.901_763_401_989_443E-1,
    7.520_978_692_204_963E-1,
    7.140_195_204_316_73E-1,
    6.759_413_152_305_657E-1,
    6.378_632_800_575_392E-1,
    5.997_854_479_978_337E-1,
    5.617_078_610_344_953E-1,
    5.236_305_732_820_187E-1,
    4.855_536_557_378_013E-1,
    4.474_772_034_530_068_4E-1,
    4.094_013_466_928_585E-1,
    3.713_262_689_388_439E-1,
    3.332_522_371_792_479E-1,
    2.951_796_555_193_184E-1,
    2.571_091_661_074_227_4E-1,
    2.190_418_543_971_735_5E-1,
    1.809_797_103_814_301_8E-1,
    1.429_268_140_230_164E-1,
    1.048_930_290_780_323_4E-1,
    6.690_962_797_843_65E-2,
    2.914_922_224_685_900_8E-2,
];

const EVEN_THETA_ZERO_42: &[f64] = &[
    1.552_207_346_590_136_3,
    1.515_029_387_081_184_2,
    1.477_851_430_283_928,
    1.440_673_478_039_699_7,
    1.403_495_532_240_969_2,
    1.366_317_594_853_509,
    1.329_139_667_940_348,
    1.291_961_753_688_162_7,
    1.254_783_854_436_838_4,
    1.217_605_972_713_103,
    1.180_428_111_269_301,
    1.143_250_273_128_649_1,
    1.106_072_461_638_634_4,
    1.068_894_680_534_664,
    1.031_716_934_016_664_8,
    9.945_392_268_421_176E-1,
    9.573_615_644_400_829E-1,
    9.201_839_530_522_289E-1,
    8.830_063_999_088_903E-1,
    8.458_289_134_509_915E-1,
    8.086_515_036_126_425E-1,
    7.714_741_821_849_086E-1,
    7.342_969_632_895_449E-1,
    6.971_198_640_037_407E-1,
    6.599_429_051_953_913E-1,
    6.227_661_126_567_801E-1,
    5.855_895_186_691_062E-1,
    5.484_131_642_019_636E-1,
    5.112_371_020_703_31E-1,
    4.740_614_015_734_593E-1,
    4.368_861_554_959_151_4E-1,
    3.997_114_910_036_376E-1,
    3.625_375_872_199_777_5E-1,
    3.253_647_047_992_267E-1,
    2.881_932_382_678_453E-1,
    2.510_238_145_617_969E-1,
    2.138_574_934_303_92E-1,
    1.766_962_177_535_783_3E-1,
    1.395_439_709_154_010_2E-1,
    1.024_103_832_005_221_9E-1,
    6.532_598_686_141_261E-2,
    2.845_930_797_694_291_5E-2,
];

const EVEN_THETA_ZERO_43: &[f64] = &[
    1.552_637_135_069_156,
    1.516_318_752_418_798_2,
    1.480_000_372_180_291_7,
    1.443_681_995_989_991_8,
    1.407_363_625_527_612_7,
    1.371_045_262_534_953,
    1.334_726_908_836_065_8,
    1.298_408_566_359_386_7,
    1.262_090_237_162_411_9,
    1.225_771_923_459_625_4,
    1.189_453_627_654_523_1,
    1.153_135_352_376_772,
    1.116_817_100_525_785_9,
    1.080_498_875_322_336_1,
    1.044_180_680_370_245,
    1.007_862_519_730_785_6,
    9.715_443_980_131_875E-1,
    9.352_263_204_856_911E-1,
    8.989_082_932_130_182E-1,
    8.625_903_232_280_968E-1,
    8.262_724_187_486_163E-1,
    7.899_545_894_528_804E-1,
    7.536_368_468_349_768E-1,
    7.173_192_046_673_891E-1,
    6.810_016_796_111_442E-1,
    6.446_842_920_316_341E-1,
    6.083_670_671_059_611E-1,
    5.720_500_363_511_798E-1,
    5.357_332_397_728_173E-1,
    4.994_167_289_487_775_3E-1,
    4.631_005_715_608_865E-1,
    4.267_848_582_339_84E-1,
    3.904_697_131_799_79E-1,
    3.541_553_113_674_441_6E-1,
    3.178_419_074_113_077_4E-1,
    2.815_298_867_038_369E-1,
    2.452_198_616_736_214E-1,
    2.089_128_675_558_041_3E-1,
    1.726_108_022_974_787_2E-1,
    1.363_175_571_713_249_3E-1,
    1.000_425_397_881_323E-1,
    6.381_557_644_960_652E-2,
    2.780_129_671_121_636E-2,
];

const EVEN_THETA_ZERO_44: &[f64] = &[
    1.553_047_499_032_218_5,
    1.517_549_844_221_432_6,
    1.482_052_191_561_582_5,
    1.446_554_542_510_861,
    1.411_056_898_564_365_4,
    1.375_559_261_269_981,
    1.340_061_632_245_437_7,
    1.304_564_013_196_950_3,
    1.269_066_405_939_915_5,
    1.233_568_812_422_221_3,
    1.198_071_234_750_839_3,
    1.162_573_675_222_508_9,
    1.127_076_136_359_515_4,
    1.091_578_620_951_808_8,
    1.056_081_132_107_029_1,
    1.020_583_673_310_438,
    9.850_862_484_973_096E-1,
    9.495_888_621_411_026E-1,
    9.140_915_193_617_474E-1,
    8.785_942_260_597_805E-1,
    8.430_969_890_839_84E-1,
    8.075_998_164_428_633E-1,
    7.721_027_175_741_015E-1,
    7.366_057_036_915_555E-1,
    7.011_087_882_372_793E-1,
    6.656_119_874_777_63E-1,
    6.301_153_213_012_085E-1,
    5.946_188_142_997_515E-1,
    5.591_224_972_630_766E-1,
    5.236_264_092_783_025E-1,
    4.881_306_007_441_175_7E-1,
    4.526_351_377_998_501E-1,
    4.171_401_090_099_415E-1,
    3.816_456_357_674_021E-1,
    3.461_518_890_753_413E-1,
    3.106_591_177_837_41E-1,
    2.751_676_985_649_013E-1,
    2.396_782_299_970_584E-1,
    2.041_917_239_104_339_7E-1,
    1.687_100_353_513_348_6E-1,
    1.332_369_676_454_340_2E-1,
    9.778_171_579_501_174E-2,
    6.237_343_205_901_608E-2,
    2.717_302_558_182_235E-2,
];

const EVEN_THETA_ZERO_45: &[f64] = &[
    1.553_439_726_211_154,
    1.518_726_525_682_668_7,
    1.484_013_327_077_361,
    1.449_300_131_698_066_5,
    1.414_586_940_879_145_2,
    1.379_873_756_000_009_6,
    1.345_160_578_499_605_5,
    1.310_447_409_892_181,
    1.275_734_251_784_724_8,
    1.241_021_105_896_515_5,
    1.206_307_974_081_314_7,
    1.171_594_858_352_843_5,
    1.136_881_760_914_326_2,
    1.102_168_684_193_068_7,
    1.067_455_630_881_287_3,
    1.032_742_603_984_709_9,
    9.980_296_068_808_996E-1,
    9.633_166_433_897_968E-1,
    9.286_037_178_597_177E-1,
    8.938_908_352_730_484E-1,
    8.591_780_013_772_377E-1,
    8.244_652_228_485_704E-1,
    7.897_525_074_988_289E-1,
    7.550_398_645_386_622E-1,
    7.203_273_049_167_973E-1,
    6.856_148_417_619_669E-1,
    6.509_024_909_658_765E-1,
    6.161_902_719_627_732E-1,
    5.814_782_087_876_726E-1,
    5.467_663_315_368_932E-1,
    5.120_546_784_214_695E-1,
    4.773_432_987_146_161_7E-1,
    4.426_322_570_828_637E-1,
    4.079_216_401_227_574_5E-1,
    3.732_115_665_343_574E-1,
    3.385_022_035_318_641E-1,
    3.037_937_944_563_406E-1,
    2.690_867_076_466_993E-1,
    2.343_815_284_441_088_4E-1,
    1.996_792_463_094_099E-1,
    1.649_816_752_853_099_6E-1,
    1.302_925_346_385_956_4E-1,
    9.562_081_616_094_949E-2,
    6.099_502_786_102_04E-2,
    2.657_252_290_854_776_6E-2,
];

const EVEN_THETA_ZERO_46: &[f64] = &[
    1.553_814_992_974_904_8,
    1.519_852_325_907_741_9,
    1.485_889_660_564_341_2,
    1.451_926_998_111_647_8,
    1.417_964_339_743_631,
    1.384_001_686_692_846,
    1.350_039_040_242_776_9,
    1.316_076_401_741_232_3,
    1.282_113_772_615_1,
    1.248_151_154_386_817_3,
    1.214_188_548_692_984_2,
    1.180_225_957_305_622_4,
    1.146_263_382_156_703_2,
    1.112_300_825_366_699,
    1.078_338_289_278_105,
    1.044_375_776_495_107_6,
    1.010_413_289_930_890_2,
    9.764_508_328_644_781E-1,
    9.424_884_090_095_589E-1,
    9.085_260_225_984_488E-1,
    8.745_636_784_853_451E-1,
    8.406_013_822_743_46E-1,
    8.066_391_404_795_569E-1,
    7.726_769_607_271_702E-1,
    7.387_148_520_130_368E-1,
    7.047_528_250_344_497E-1,
    6.707_908_926_224_333E-1,
    6.368_290_703_120_276E-1,
    6.028_673_771_049_33E-1,
    5.689_058_365_047_911E-1,
    5.349_444_779_460_832E-1,
    5.009_833_388_030_908E-1,
    4.670_224_672_735_823E-1,
    4.330_619_266_162_572E-1,
    3.991_018_015_460_701E-1,
    3.651_422_081_877_256_4E-1,
    3.311_833_101_314_466_4E-1,
    2.972_253_454_486_352_7E-1,
    2.632_686_745_061_683_7E-1,
    2.293_138_699_815_081_3E-1,
    1.953_618_999_343_470_8E-1,
    1.614_145_391_777_897_8E-1,
    1.274_754_265_555_317E-1,
    9.355_335_943_686_297E-2,
    5.967_622_944_002_586E-2,
    2.599_798_753_052_849E-2,
];

const EVEN_THETA_ZERO_47: &[f64] = &[
    1.554_174_376_112_911_6,
    1.520_930_475_263_640_3,
    1.487_686_575_963_027_1,
    1.454_442_679_258_803_2,
    1.421_198_786_221_944_2,
    1.387_954_897_956_585_4,
    1.354_711_015_610_582,
    1.321_467_140_386_931_1,
    1.288_223_273_556_309_5,
    1.254_979_416_471_008_4,
    1.221_735_570_580_615_9,
    1.188_491_737_449_843_2,
    1.155_247_918_778_991_5,
    1.122_004_116_427_655_7,
    1.088_760_332_442_402,
    1.055_516_569_089_340_7,
    1.022_272_828_892_741,
    9.890_291_146_811_467E-1,
    9.557_854_296_428_465E-1,
    9.225_417_773_930_867E-1,
    8.892_981_620_561_222E-1,
    8.560_545_883_661_619E-1,
    8.228_110_617_925_68E-1,
    7.895_675_886_964_735E-1,
    7.563_241_765_284_944E-1,
    7.230_808_340_807_682E-1,
    6.898_375_718_116_413E-1,
    6.565_944_022_687_408E-1,
    6.233_513_406_471_279E-1,
    5.901_084_055_357_45E-1,
    5.568_656_199_307_345E-1,
    5.236_230_126_340_485E-1,
    4.903_806_202_198_477E-1,
    4.571_384_898_571_183E-1,
    4.238_966_834_573_972E-1,
    3.906_552_839_347_125_5E-1,
    3.574_144_049_483_910_5E-1,
    3.241_742_066_189_949E-1,
    2.909_349_219_721_994E-1,
    2.576_969_037_411_283_6E-1,
    2.244_607_124_763_75E-1,
    1.912_272_957_431_274_7E-1,
    1.579_983_907_861_406_7E-1,
    1.247_775_594_308_675_6E-1,
    9.157_341_285_433_676E-2,
    5.841_325_237_532_701E-2,
    2.544_777_076_240_816_2E-2,
];

const EVEN_THETA_ZERO_48: &[f64] = &[
    1.554_518_863_153_354_6,
    1.521_963_936_333_782_7,
    1.489_409_010_908_686_4,
    1.456_854_087_820_918_6,
    1.424_299_168_033_388_5,
    1.391_744_252_537_595_2,
    1.359_189_342_362_693,
    1.326_634_438_585_269_3,
    1.294_079_542_340_035,
    1.261_524_654_831_669,
    1.228_969_777_348_083_7,
    1.196_414_911_275_444_5,
    1.163_860_058_115_329,
    1.131_305_219_504_506_6,
    1.098_750_397_237_915,
    1.066_195_593_295_557_4,
    1.033_640_809_874_213,
    1.001_086_049_425_085_3,
    9.685_313_146_988_135E-1,
    9.359_766_087_996_588E-1,
    9.034_219_352_512_048E-1,
    8.708_672_980_765_997E-1,
    8.383_127_018_973_109E-1,
    8.057_581_520_556_424E-1,
    7.732_036_547_680_257E-1,
    7.406_492_173_185_62E-1,
    7.080_948_483_057_715E-1,
    6.755_405_579_604_903E-1,
    6.429_863_585_601_199E-1,
    6.104_322_649_751_623E-1,
    5.778_782_954_001_508E-1,
    5.453_244_723_459_25E-1,
    5.127_708_240_092_148E-1,
    4.802_173_861_982_495_5E-1,
    4.476_642_050_968_423E-1,
    4.151_113_413_261_211_5E-1,
    3.825_588_760_747_025_7E-1,
    3.500_069_206_395_502_5E-1,
    3.174_556_318_161_705E-1,
    2.849_052_377_944_113E-1,
    2.523_560_839_907_875_7E-1,
    2.198_087_193_323_827_2E-1,
    1.872_640_717_400_572_7E-1,
    1.547_238_424_480_887E-1,
    1.221_915_194_567_498_7E-1,
    8.967_553_546_914_316E-2,
    5.720_262_597_323_678E-2,
    2.492_036_059_421_555E-2,
];

const EVEN_THETA_ZERO_49: &[f64] = &[
    1.554_849_361_424_471,
    1.522_955_431_101_933_8,
    1.491_061_502_037_752,
    1.459_167_575_082_262,
    1.427_273_651_103_158,
    1.395_379_730_992_862_2,
    1.363_485_815_676_330_8,
    1.331_591_906_119_453_4,
    1.299_698_003_338_207_3,
    1.267_804_108_408_757,
    1.235_910_222_478_728_4,
    1.204_016_346_779_913_6,
    1.172_122_482_642_727_2,
    1.140_228_631_512_787_9,
    1.108_334_794_970_091_2,
    1.076_440_974_751_339,
    1.044_547_172_776_127,
    1.012_653_391_177_865,
    9.807_596_323_405_32E-1,
    9.488_658_989_426_542E-1,
    9.169_721_940_102_87E-1,
    8.850_785_209_812_849E-1,
    8.531_848_837_838_286E-1,
    8.212_912_869_330_969E-1,
    7.893_977_356_512_25E-1,
    7.575_042_360_174_186E-1,
    7.256_107_951_575_084E-1,
    6.937_174_214_856_351E-1,
    6.618_241_250_156_436E-1,
    6.299_309_177_668_762E-1,
    5.980_378_142_995_696E-1,
    5.661_448_324_309_071E-1,
    5.342_519_942_071_113E-1,
    5.023_593_272_451_872E-1,
    4.704_668_666_194_035E-1,
    4.385_746_575_692_260_3E-1,
    4.066_827_594_785_526E-1,
    3.747_912_518_813_925_6E-1,
    3.429_002_438_089_823E-1,
    3.110_098_888_674_705E-1,
    2.791_204_106_078_991_6E-1,
    2.472_321_474_279_120_5E-1,
    2.153_456_371_036_966_7E-1,
    1.834_617_887_100_953E-1,
    1.515_822_689_338_083_6E-1,
    1.197_104_949_484_175_7E-1,
    8.785_472_823_121_69E-2,
    5.604_116_141_749_524_6E-2,
    2.441_436_781_606_819_5E-2,
];

const EVEN_THETA_ZERO_50: &[f64] = &[
    1.555_166_706_034_023_7,
    1.523_907_464_890_582_4,
    1.492_648_224_885_016_6,
    1.461_388_986_785_839_2,
    1.430_129_751_376_631_1,
    1.398_870_519_462_421_8,
    1.367_611_291_876_438,
    1.336_352_069_487_341_2,
    1.305_092_853_207_091_3,
    1.273_833_643_999_595_4,
    1.242_574_442_890_323_8,
    1.211_315_250_977_103_2,
    1.180_056_069_442_347_2,
    1.148_796_899_567_022_6,
    1.117_537_742_746_723_5,
    1.086_278_600_510_304_4,
    1.055_019_474_541_620_8,
    1.023_760_366_705_069_2,
    9.925_012_790_757_765E-1,
    9.612_422_139_755_203E-1,
    9.299_831_740_157_389E-1,
    8.987_241_621_493_743E-1,
    8.674_651_817_337_867E-1,
    8.362_062_366_076_505E-1,
    8.049_473_311_856_389E-1,
    7.736_884_705_759_381E-1,
    7.424_296_607_273_231E-1,
    7.111_709_086_148_905E-1,
    6.799_122_224_768_92E-1,
    6.486_536_121_198_916E-1,
    6.173_950_893_164_464E-1,
    5.861_366_683_298_16E-1,
    5.548_783_666_157_333E-1,
    5.236_202_057_751_242E-1,
    4.923_622_128_691_229_6E-1,
    4.611_044_222_679_868_7E-1,
    4.298_468_783_051_183E-1,
    3.985_896_391_770_900_6E-1,
    3.673_327_828_297_9E-1,
    3.360_764_161_195_064_5E-1,
    3.048_206_895_905_456_5E-1,
    2.735_658_223_403_245_6E-1,
    2.423_121_460_275_046_2E-1,
    2.110_601_877_217_048_4E-1,
    1.798_108_384_023_314_5E-1,
    1.485_657_315_840_060_7E-1,
    1.173_282_164_330_337_2E-1,
    8.610_639_001_623_935E-2,
    5.492_592_372_249_737_6E-2,
    2.392_851_379_957_687_2E-2,
];

const ODD_THETA_ZERO_1: &[f64] = &[6.847_192_030_022_83E-1];

const ODD_THETA_ZERO_2: &[f64] = &[1.002_176_803_643_121_6, 4.366_349_492_255_221_5E-1];

const ODD_THETA_ZERO_3: &[f64] = &[
    1.152_892_953_722_227_4,
    7.354_466_143_229_52E-1,
    3.204_050_902_900_62E-1,
];

const ODD_THETA_ZERO_4: &[f64] = &[
    1.240_573_923_404_363_3,
    9.104_740_292_261_473E-1,
    5.807_869_795_060_066E-1,
    2.530_224_166_119_307E-1,
];

const ODD_THETA_ZERO_5: &[f64] = &[
    1.297_877_729_331_450_3,
    1.025_003_226_369_574_7,
    7.522_519_395_990_821E-1,
    4.798_534_223_256_743E-1,
    2.090_492_874_137_409_3E-1,
];

const ODD_THETA_ZERO_6: &[f64] = &[
    1.338_247_676_100_454_5,
    1.105_718_066_248_49,
    8.732_366_099_401_63E-1,
    6.408_663_264_733_868E-1,
    4.088_002_373_420_212E-1,
    1.780_944_581_262_765_6E-1,
];

const ODD_THETA_ZERO_7: &[f64] = &[
    1.368_219_536_992_351_8,
    1.165_652_065_603_030_3,
    9.631_067_821_301_482E-1,
    7.606_069_572_889_919E-1,
    5.582_062_109_125_313E-1,
    3.560_718_303_314_725E-1,
    1.551_231_069_747_375_2E-1,
];

const ODD_THETA_ZERO_8: &[f64] = &[
    1.391_350_647_015_287_4,
    1.211_909_966_211_469_6,
    1.032_480_728_417_239_5,
    8.530_732_514_258_506E-1,
    6.737_074_594_242_523E-1,
    4.944_303_818_194_983_3E-1,
    3.153_898_594_929_282_5E-1,
    1.373_998_952_992_547_5E-1,
];

const ODD_THETA_ZERO_9: &[f64] = &[
    1.409_742_336_767_429,
    1.248_691_224_331_339_3,
    1.087_646_521_650_455,
    9.266_134_127_998_189E-1,
    7.656_007_620_508_34E-1,
    6.046_261_769_405_451E-1,
    4.437_316_659_960_952E-1,
    2.830_497_588_453_068E-1,
    1.233_108_673_082_312_8E-1,
];

const ODD_THETA_ZERO_10: &[f64] = &[
    1.424_715_475_176_742_8,
    1.278_636_375_242_898_6,
    1.132_561_101_012_537_6,
    9.864_925_055_883_794E-1,
    8.404_350_520_135_059E-1,
    6.943_966_110_110_701E-1,
    5.483_930_281_810_39E-1,
    4.024_623_099_018_152E-1,
    2.567_245_837_448_891E-1,
    1.118_422_651_428_890_9E-1,
];

const ODD_THETA_ZERO_11: &[f64] = &[
    1.437_141_935_303_526_4,
    1.303_488_659_735_581,
    1.169_837_785_762_83,
    1.036_190_996_404_462_2,
    9.025_507_517_347_876E-1,
    7.689_210_263_823_625E-1,
    6.353_089_402_976_823E-1,
    5.017_289_283_414_202E-1,
    3.682_157_131_008_289_6E-1,
    2.348_791_589_702_580_2E-1,
    1.023_252_788_872_632_5E-1,
];

const ODD_THETA_ZERO_12: &[f64] = &[
    1.447_620_393_135_667,
    1.324_445_197_736_386_7,
    1.201_271_573_324_181_2,
    1.078_100_568_411_88,
    9.549_336_362_382_321E-1,
    8.317_729_718_814_276E-1,
    7.086_221_837_538_611E-1,
    5.854_877_911_108_012E-1,
    4.623_830_630_132_757_5E-1,
    3.393_399_712_563_371_4E-1,
    2.164_597_408_964_339_4E-1,
    9.430_083_986_305_52E-2,
];

const ODD_THETA_ZERO_13: &[f64] = &[
    1.456_575_541_704_196,
    1.342_355_260_834_552_1,
    1.228_136_043_468_909_7,
    1.113_918_572_282_612,
    9.997_037_539_874_954E-1,
    8.854_928_869_950_8E-1,
    7.712_879_690_777_517E-1,
    6.570_923_167_092_416E-1,
    5.429_119_513_798_658E-1,
    4.287_591_577_660_783_7E-1,
    3.146_635_662_674_374E-1,
    2.007_190_266_590_380_7E-1,
    8.744_338_280_630_3E-2,
];

const ODD_THETA_ZERO_14: &[f64] = &[
    1.464_317_002_991_565_3,
    1.357_838_033_080_061_7,
    1.251_359_804_334_884_8,
    1.144_882_777_708_662_8,
    1.038_407_544_520_296_7,
    9.319_349_156_915_987E-1,
    8.254_660_749_671_546E-1,
    7.190_028_636_037_068E-1,
    6.125_483_562_383_021E-1,
    5.061_081_521_563E-1,
    3.996_936_914_666_952E-1,
    2.933_325_857_619_473E-1,
    1.871_123_137_498_062E-1,
    8.151_560_650_977_882E-2,
];

const ODD_THETA_ZERO_15: &[f64] = &[
    1.471_075_823_713_997_4,
    1.371_355_574_944_659,
    1.271_635_855_736_122_3,
    1.171_916_986_981_364,
    1.072_199_368_669_106_5,
    9.724_835_301_003_497E-1,
    8.727_702_114_891_849E-1,
    7.730_605_060_747_958E-1,
    6.733_561_257_504_195E-1,
    5.736_599_396_529_728E-1,
    4.739_771_829_190_733_7E-1,
    3.743_185_619_229_329_5E-1,
    2.747_099_287_638_327_7E-1,
    1.752_332_025_619_508_5E-1,
    7.634_046_205_384_429E-2,
];

const ODD_THETA_ZERO_16: &[f64] = &[
    1.477_027_911_291_552_3,
    1.383_259_682_348_271_7,
    1.289_491_840_051_302_7,
    1.195_724_613_675_799_5,
    1.101_958_282_220_461_4,
    1.008_193_204_014_774,
    9.144_298_626_454_032E-1,
    8.206_689_427_646_12E-1,
    7.269_114_630_504_563E-1,
    6.331_590_254_855_162E-1,
    5.394_143_214_244_184E-1,
    4.456_822_679_082_866_3E-1,
    3.519_729_273_095_237E-1,
    2.583_106_041_071_418E-1,
    1.647_723_231_643_112_6E-1,
    7.178_317_184_275_122E-2,
];

const ODD_THETA_ZERO_17: &[f64] = &[
    1.482_309_554_825_692_4,
    1.393_822_922_226_542_1,
    1.305_336_577_335_833_6,
    1.216_850_687_682_353_3,
    1.128_365_453_024_608_6,
    1.039_881_123_511_957_6,
    9.513_980_267_579_228E-1,
    8.629_166_105_524_045E-1,
    7.744_375_139_383_605E-1,
    6.859_616_923_374_369E-1,
    5.974_906_525_247_623E-1,
    5.090_269_299_866_796E-1,
    4.205_751_610_647_263_7E-1,
    3.321_448_379_994_943E-1,
    2.437_588_931_448_049E-1,
    1.554_900_095_178_924_6E-1,
    6.773_932_498_157_585E-2,
];

const ODD_THETA_ZERO_18: &[f64] = &[
    1.487_027_983_239_551,
    1.403_259_745_496_922_2,
    1.319_491_725_464_661_4,
    1.235_724_047_968_681_3,
    1.151_956_859_289_811_5,
    1.068_190_338_689_553_5,
    9.844_247_150_109_837E-1,
    9.006_602_918_737_365E-1,
    8.168_974_877_846_822E-1,
    7.331_369_031_796_229E-1,
    6.493_794_386_888_65E-1,
    5.656_265_174_356_597E-1,
    4.818_805_368_222_632E-1,
    3.981_458_834_052_59E-1,
    3.144_315_409_387_123_4E-1,
    2.307_592_167_302_372E-1,
    1.471_977_156_945_989_7E-1,
    6.412_678_117_309_945E-2,
];

const ODD_THETA_ZERO_19: &[f64] = &[
    1.491_268_718_102_344_7,
    1.411_741_190_914_640_5,
    1.332_213_830_951_015_4,
    1.252_686_732_830_81,
    1.173_160_005_794_509_3,
    1.093_633_781_237_958_8,
    1.014_108_223_243_148_4,
    9.345_835_440_325_075E-1,
    8.550_600_276_575_269E-1,
    7.755_380_679_025_249E-1,
    6.960_182_317_959_842E-1,
    6.165_013_717_819_834E-1,
    5.369_888_366_794_913E-1,
    4.574_829_005_269_903E-1,
    3.779_877_260_196_974E-1,
    2.985_118_404_618_625E-1,
    2.190_758_506_462_428E-1,
    1.397_450_765_119_767_3E-1,
    6.088_003_363_863_534_6E-2,
];

const ODD_THETA_ZERO_20: &[f64] = &[
    1.495_100_801_651_051_4,
    1.419_405_340_110_198_5,
    1.343_710_008_748_627_8,
    1.268_014_880_389_353,
    1.192_320_038_028_903_9,
    1.116_625_579_891_689_5,
    1.040_931_626_310_454_9,
    9.652_383_295_306_943E-1,
    8.895_458_882_533_946E-1,
    8.138_545_700_535_261E-1,
    7.381_647_473_570_305E-1,
    6.624_769_578_126_105E-1,
    5.867_920_109_947_447E-1,
    5.111_111_891_461_745E-1,
    4.354_366_553_151_05E-1,
    3.597_723_703_299_625E-1,
    2.841_264_494_060_559_7E-1,
    2.085_185_052_177_155E-1,
    1.330_107_089_065_635_5E-1,
    5.794_620_170_990_797_5E-2,
];

const ODD_THETA_ZERO_21: &[f64] = &[
    1.498_580_583_401_444,
    1.426_364_890_228_584_6,
    1.354_149_299_629_923_4,
    1.281_933_868_420_424,
    1.209_718_660_626_713_4,
    1.137_503_750_956_414_8,
    1.065_289_229_411_734,
    9.930_752_076_949_069E-1,
    9.208_618_284_397_05E-1,
    8.486_492_789_905_562E-1,
    7.764_378_127_156_926E-1,
    7.042_277_832_708_635E-1,
    6.320_197_021_480_768E-1,
    5.598_143_404_345_396E-1,
    4.876_129_202_946_139_5E-1,
    4.154_175_043_169_533_5E-1,
    3.432_318_703_096_418E-1,
    2.710_637_595_435_203E-1,
    1.989_318_822_110_657_5E-1,
    1.268_955_503_926_593_2E-1,
    5.528_212_871_240_371E-2,
];

const ODD_THETA_ZERO_22: &[f64] = &[
    1.501_754_508_594_837_4,
    1.432_712_730_475_143_2,
    1.363_671_034_069_754_2,
    1.294_629_464_249_430_7,
    1.225_588_071_083_248_5,
    1.156_546_912_269_029_3,
    1.087_506_056_298_747_7,
    1.018_465_586_752_840_7,
    9.494_256_083_335_85E-1,
    8.803_862_556_198_168E-1,
    8.113_477_061_841_625E-1,
    7.423_102_009_244_499E-1,
    6.732_740_767_851_639E-1,
    6.042_398_217_472_142E-1,
    5.352_081_720_899_523E-1,
    4.661_802_954_366_277E-1,
    3.971_581_629_712_621_6E-1,
    3.281_453_857_685_808E-1,
    2.591_493_642_052_662E-1,
    1.901_879_854_885_491_8E-1,
    1.213_179_541_186_130_7E-1,
    5.285_224_511_635_143_5E-2,
];

const ODD_THETA_ZERO_23: &[f64] = &[
    1.504_661_202_517_196_4,
    1.438_526_110_541_037_2,
    1.372_391_084_315_255_8,
    1.306_256_159_670_932,
    1.240_121_376_243_315_9,
    1.173_986_779_205_849_4,
    1.107_852_421_486_856_1,
    1.041_718_366_715_156_8,
    9.755_846_932_657_443E-1,
    9.094_514_999_854_932E-1,
    8.433_189_145_364_798E-1,
    7.771_871_059_265_139E-1,
    7.110_563_039_566_126E-1,
    6.449_268_305_419_475E-1,
    5.787_991_523_675_322E-1,
    5.126_739_740_395_089E-1,
    4.465_524_134_105_889_3E-1,
    3.804_363_581_140_941_5E-1,
    3.143_292_666_717_729_7E-1,
    2.482_382_273_986_418_5E-1,
    1.821_803_739_336_923_5E-1,
    1.162_100_228_791_666_2E-1,
    5.062_697_144_246_345E-2,
];

const ODD_THETA_ZERO_24: &[f64] = &[
    1.507_333_049_739_684_4,
    1.443_869_798_951_040_7,
    1.380_406_601_553_595_6,
    1.316_943_486_448_336_5,
    1.253_480_485_358_734,
    1.190_017_634_088_428_8,
    1.126_554_974_102_287,
    1.063_092_554_588_577_2,
    9.996_304_352_342_33E-1,
    9.361_686_900_661_624E-1,
    8.727_074_129_127_596E-1,
    8.092_467_253_835_331E-1,
    7.457_867_888_716_805E-1,
    6.823_278_231_980_089E-1,
    6.188_701_366_516_796E-1,
    5.554_141_765_061_554E-1,
    4.919_606_183_965_743_5E-1,
    4.285_105_345_527_886E-1,
    3.650_657_359_209_552E-1,
    3.016_295_408_979_54E-1,
    2.382_087_510_453_128_6E-1,
    1.748_198_074_104_535_3E-1,
    1.115_148_317_291_502_1E-1,
    4.858_150_828_905_664E-2,
];

const ODD_THETA_ZERO_25: &[f64] = &[
    1.509_797_405_521_643_7,
    1.448_798_505_784_201_9,
    1.387_799_649_767_640_8,
    1.326_800_860_997_572_3,
    1.265_802_165_120_213_6,
    1.204_803_590_828_283_7,
    1.143_805_171_007_496_1,
    1.082_806_944_206_958_6,
    1.021_808_956_582_037_2,
    9.608_112_645_303_607E-1,
    8.998_139_383_584_991E-1,
    8.388_170_675_106_567E-1,
    7.778_207_682_214_244E-1,
    7.168_251_950_382_156E-1,
    6.558_305_587_295_081E-1,
    5.948_371_551_492_265E-1,
    5.338_454_137_827_293E-1,
    4.728_559_836_463_23E-1,
    4.118_698_949_811_841E-1,
    3.508_888_880_839_026E-1,
    2.899_161_521_835_467_7E-1,
    2.289_582_244_272_697E-1,
    1.680_309_071_251_71E-1,
    1.071_842_976_730_454_6E-1,
    4.669_490_825_917_858E-2,
];

const ODD_THETA_ZERO_26: &[f64] = &[
    1.512_077_535_592_702_7,
    1.453_358_762_182_399_3,
    1.394_640_024_852_448_2,
    1.335_921_342_914_185_2,
    1.277_202_737_290_683_6,
    1.218_484_231_207_691_8,
    1.159_765_851_037_557_2,
    1.101_047_627_365_156_2,
    1.042_329_596_373_083_6,
    9.836_118_016_874_52E-1,
    9.248_942_968_954_766E-1,
    8.661_771_490_588_063E-1,
    8.074_604_437_333_369E-1,
    7.487_442_923_247_565E-1,
    6.900_288_431_709_55E-1,
    6.313_142_987_730_108E-1,
    5.726_009_435_739_572E-1,
    5.138_891_906_843_944E-1,
    4.551_796_645_660_731E-1,
    3.964_733_566_771_858_6E-1,
    3.377_719_420_068_963_6E-1,
    2.790_784_903_284_342_4E-1,
    2.203_992_941_938_221_2E-1,
    1.617_495_649_772_923_1E-1,
    1.031_775_271_253_784_8E-1,
    4.494_935_602_951_386E-2,
];

const ODD_THETA_ZERO_27: &[f64] = &[
    1.514_193_352_804_82,
    1.457_590_393_617_468_8,
    1.400_987_464_419_153_1,
    1.344_384_581_184_662,
    1.287_781_761_126_833_8,
    1.231_179_023_218_584_2,
    1.174_576_388_822_640_8,
    1.117_973_882_475_943_8,
    1.061_371_532_893_653_5,
    1.004_769_374_285_310_8,
    9.481_674_481_184_789E-1,
    8.915_658_055_327_279E-1,
    8.349_645_107_156_934E-1,
    7.783_636_457_331_087E-1,
    7.217_633_176_118_4E-1,
    6.651_636_690_166_557E-1,
    6.085_648_948_549_621E-1,
    5.519_672_690_500_085E-1,
    4.953_711_895_788_267E-1,
    4.387_772_581_729_22E-1,
    3.821_864_303_519_236E-1,
    3.256_003_205_491_779E-1,
    2.690_218_877_324_958E-1,
    2.124_571_975_249_336E-1,
    1.559_209_129_891_515_3E-1,
    9.945_952_063_842_375E-2,
    4.332_960_406_341_033E-2,
];

const ODD_THETA_ZERO_28: &[f64] = &[
    1.516_162_000_094_549_3,
    1.461_527_685_790_782_4,
    1.406_893_396_579_229_6,
    1.352_259_145_769_087,
    1.297_624_947_629_923,
    1.242_990_817_790_598,
    1.188_356_773_715_062_2,
    1.133_722_835_287_525_7,
    1.079_089_025_551_156,
    1.024_455_371_662_101_4,
    9.698_219_061_474_76E-1,
    9.151_886_685_974_01E-1,
    8.605_557_079_864_861E-1,
    8.059_230_859_253_163E-1,
    7.512_908_813_164_714E-1,
    6.966_591_971_861_112E-1,
    6.420_281_709_850_566E-1,
    5.873_979_906_122_764E-1,
    5.327_689_202_536_826E-1,
    4.781_413_438_508_069E-1,
    4.235_158_420_269_503_6E-1,
    3.688_933_369_002_844E-1,
    3.142_753_865_947_702E-1,
    2.596_648_470_121_556_4E-1,
    2.050_675_726_616_484_3E-1,
    1.504_977_164_639_767_8E-1,
    9.600_014_792_058_155E-2,
    4.182_252_607_645_932_4E-2,
];

const ODD_THETA_ZERO_29: &[f64] = &[
    1.517_998_315_905_975_8,
    1.465_200_315_462_026_6,
    1.412_402_336_143_181,
    1.359_604_389_111_228_2,
    1.306_806_486_279_734_8,
    1.254_008_640_622_089_2,
    1.201_210_866_535_131,
    1.148_413_180_281_18,
    1.095_615_600_538_999_4,
    1.042_818_149_105_710_5,
    9.900_208_518_088_601E-1,
    9.372_237_397_138_955E-1,
    8.844_268_507_524_555E-1,
    8.316_302_319_600_398E-1,
    7.788_339_426_133_211E-1,
    7.260_380_587_255_163E-1,
    6.732_426_796_448_046E-1,
    6.204_479_380_061_241E-1,
    5.676_540_152_134_466E-1,
    5.148_611_664_077_888E-1,
    4.620_697_624_728_054E-1,
    4.092_803_643_735_033_5E-1,
    3.564_938_631_002_461E-1,
    3.037_117_642_790_043_7E-1,
    2.509_368_276_982_061E-1,
    1.981_747_109_679_033E-1,
    1.454_390_911_823_840_7E-1,
    9.277_332_955_453_467E-2,
    4.041_676_055_113_025_6E-2,
];

const ODD_THETA_ZERO_30: &[f64] = &[
    1.519_715_208_823_086_7,
    1.468_634_099_702_062_6,
    1.417_553_008_469_014_7,
    1.366_471_944_542_347_2,
    1.315_390_917_933_947,
    1.264_309_939_489_363_8,
    1.213_229_021_168_654,
    1.162_148_176_384_137_3,
    1.111_067_420_416_500_8,
    1.059_986_770_938_296_6,
    1.008_906_248_685_091_7,
    9.578_258_783_312_408E-1,
    9.067_456_896_525_242E-1,
    8.556_657_190_967_861E-1,
    8.045_860_119_448_479E-1,
    7.535_066_253_423_996E-1,
    7.024_276_326_462_753E-1,
    6.513_491_298_057_894E-1,
    6.002_712_449_887_427E-1,
    5.491_941_535_583_391E-1,
    4.981_181_022_276_018_3E-1,
    4.470_434_496_975_185E-1,
    3.959_707_385_770_102E-1,
    3.449_008_307_748_737E-1,
    2.938_351_828_535_981E-1,
    2.427_764_647_581_323_6E-1,
    1.917_301_500_230_701_2E-1,
    1.407_094_708_800_750_4E-1,
    8.975_637_836_633_63E-2,
    3.910_242_380_354_419_4E-2,
];

const ODD_THETA_ZERO_31: &[f64] = &[
    1.521_323_961_422_700_5,
    1.471_851_603_590_422,
    1.422_379_260_986_849_5,
    1.372_906_941_604_798_5,
    1.323_434_653_909_308,
    1.273_962_407_026_590_5,
    1.224_490_210_963_055_8,
    1.175_018_076_866_133_6,
    1.125_546_017_342_156_3,
    1.076_074_046_851_682_3,
    1.026_602_182_210_094_6,
    9.771_304_432_322_302E-1,
    9.276_588_535_760_336E-1,
    8.781_874_418_647_316E-1,
    8.287_162_432_047_307E-1,
    7.792_453_012_756_761E-1,
    7.297_746_712_644_485E-1,
    6.803_044_240_724_808E-1,
    6.308_346_524_943_159E-1,
    5.813_654_805_388_74E-1,
    5.318_970_779_332_963E-1,
    4.824_296_835_154_055_5E-1,
    4.329_636_445_908_698_3E-1,
    3.834_994_865_870_752E-1,
    3.340_380_441_799_942E-1,
    2.845_807_279_748_544_5E-1,
    2.351_301_237_470_960_8E-1,
    1.856_915_325_646_991E-1,
    1.362_777_698_319_135E-1,
    8.692_946_525_012_055E-2,
    3.787_087_726_949_234E-2,
];

const ODD_THETA_ZERO_32: &[f64] = &[
    1.522_834_478_472_358_6,
    1.474_872_636_605_138_3,
    1.426_910_807_768_284_4,
    1.378_948_998_781_055_3,
    1.330_987_216_841_224_7,
    1.283_025_469_674_968_6,
    1.235_063_765_709_223,
    1.187_102_114_275_073_7,
    1.139_140_525_853_183,
    1.091_179_012_375_759_6,
    1.043_217_587_604_604_8,
    9.952_562_676_120_37E-1,
    9.472_950_714_021_223E-1,
    8.993_340_217_254_078E-1,
    8.513_731_461_641_338E-1,
    8.034_124_786_014_694E-1,
    7.554_520_612_457_603E-1,
    7.074_919_474_732_165E-1,
    6.595_322_059_052_657E-1,
    6.115_729_263_971_504E-1,
    5.636_142_290_734_364E-1,
    5.156_562_783_879_918E-1,
    4.676_993_058_012_954E-1,
    4.197_436_479_350_834E-1,
    3.717_898_140_987_174E-1,
    3.238_386_134_116_157E-1,
    2.758_914_133_405_792E-1,
    2.279_507_206_431_424_5E-1,
    1.800_216_744_637_006_5E-1,
    1.321_166_988_439_841_6E-1,
    8.427_518_284_958_235E-2,
    3.671_453_742_186_897_6E-2,
];

const ODD_THETA_ZERO_33: &[f64] = &[
    1.524_255_491_013_576_8,
    1.477_714_660_784_952_7,
    1.431_173_841_758_652_8,
    1.384_633_039_781_787,
    1.338_092_261_006_965_7,
    1.291_551_512_012_124_8,
    1.245_010_799_937_3,
    1.198_470_132_644_670_5,
    1.151_929_518_909_907_2,
    1.105_388_968_655_282_7,
    1.058_848_493_238_442,
    1.012_308_105_815_651_3,
    9.657_678_218_054_127E-1,
    9.192_276_594_886_802E-1,
    8.726_876_407_972_168E-1,
    8.261_477_923_647_281E-1,
    7.796_081_469_509_05E-1,
    7.330_687_454_042_533E-1,
    6.865_296_394_193_01E-1,
    6.399_908_954_920_467E-1,
    5.934_526_007_301_574E-1,
    5.469_148_716_199_144E-1,
    5.003_778_676_688_562E-1,
    4.538_418_134_105_091_7E-1,
    4.073_070_354_279_486E-1,
    3.607_740_278_788_823E-1,
    3.142_435_758_510_728E-1,
    2.677_170_062_389_944_7E-1,
    2.211_967_514_739_567_6E-1,
    1.746_877_983_807_874_3E-1,
    1.282_022_028_383_48E-1,
    8.177_818_680_168_765E-2,
    3.562_671_947_817_428E-2,
];

const ODD_THETA_ZERO_34: &[f64] = &[
    1.525_594_725_214_770_8,
    1.480_393_128_432_045_7,
    1.435_191_541_323_085_6,
    1.389_989_968_924_959_7,
    1.344_788_416_522_907_8,
    1.299_586_889_746_828,
    1.254_385_394_680_662,
    1.209_183_937_989_395_2,
    1.163_982_527_069_6,
    1.118_781_170_231_154_8,
    1.073_579_876_920_155,
    1.028_378_657_996_412_7,
    9.831_775_260_837_211E-1,
    9.379_764_960_179_657E-1,
    8.927_755_854_282_049E-1,
    8.475_748_155_007_348E-1,
    8.023_742_119_985_848E-1,
    7.571_738_066_433_709E-1,
    7.119_736_390_205_872E-1,
    6.667_737_592_565_46E-1,
    6.215_742_318_591_893E-1,
    5.763_751_413_603_714E-1,
    5.311_766_008_298_876E-1,
    4.859_787_651_249_622E-1,
    4.407_818_522_612_534E-1,
    3.955_861_793_705_505E-1,
    3.503_922_263_398_634E-1,
    3.052_007_556_167_344_3E-1,
    2.600_130_558_662_051E-1,
    2.148_314_894_784_556E-1,
    1.696_608_997_322_034E-1,
    1.245_129_955_389_27E-1,
    7.942_489_891_978_154E-2,
    3.460_150_809_198_017E-2,
];

const ODD_THETA_ZERO_35: &[f64] = &[
    1.526_859_042_890_589_5,
    1.482_921_763_148_403_7,
    1.438_984_491_795_164_6,
    1.395_047_233_189_252_5,
    1.351_109_991_891_878,
    1.307_172_772_745_304_6,
    1.263_235_580_960_969,
    1.219_298_422_221_050_8,
    1.175_361_302_797_916_6,
    1.131_424_229_697_065_8,
    1.087_487_210_830_888,
    1.043_550_255_232_887_2,
    9.996_133_733_253_191E-1,
    9.556_765_772_578_536E-1,
    9.117_398_813_415_957E-1,
    8.678_033_026_125_662E-1,
    8.238_668_615_732_248E-1,
    7.799_305_831_824_294E-1,
    7.359_944_981_977_458E-1,
    6.920_586_450_266_629E-1,
    6.481_230_723_279_65E-1,
    6.041_878_427_445_001E-1,
    5.602_530_383_870_994E-1,
    5.163_187_691_099_713E-1,
    4.723_851_853_891_5E-1,
    4.284_524_990_953_311E-1,
    3.845_210_184_454_249_7E-1,
    3.405_912_098_612_419E-1,
    2.966_638_144_233_703_6E-1,
    2.527_400_847_124_078_3E-1,
    2.088_223_170_017_057_8E-1,
    1.649_152_190_599_722_8E-1,
    1.210_301_722_471_160_1E-1,
    7.720_326_018_898_818E-2,
    3.363_364_974_516_995E-2,
];

const ODD_THETA_ZERO_36: &[f64] = &[
    1.528_054_559_083_405_2,
    1.485_312_794_997_097_7,
    1.442_571_038_214_470_7,
    1.399_829_292_522_32,
    1.357_087_561_874_166_7,
    1.314_345_850_454_078_8,
    1.271_604_162_748_143_4,
    1.228_862_503_626_297,
    1.186_120_878_437_839_4,
    1.143_379_293_124_832,
    1.100_637_754_358_770_9,
    1.057_896_269_707_576_2,
    1.015_154_847_842_238,
    9.724_134_987_956_584E-1,
    9.296_722_342_907_947E-1,
    8.869_310_681_617_368E-1,
    8.441_900_169_008_687E-1,
    8.014_491_003_793_524E-1,
    7.587_083_428_093_936E-1,
    7.159_677_740_493_625E-1,
    6.732_274_314_040_502E-1,
    6.304_873_621_547_357E-1,
    5.877_476_271_899_241E-1,
    5.450_083_063_396_327E-1,
    5.022_695_064_252_395E-1,
    4.595_313_737_871_712E-1,
    4.167_941_144_922_007E-1,
    3.740_580_283_336_802_4E-1,
    3.313_235_690_067_747E-1,
    2.885_914_573_933_48E-1,
    2.458_629_119_584_249_4E-1,
    2.031_401_664_615_301_6E-1,
    1.604_278_005_405_711_5E-1,
    1.177_368_858_339_244_4E-1,
    7.510_252_408_650_087E-2,
    3.271_846_270_775_479E-2,
];

const ODD_THETA_ZERO_37: &[f64] = &[
    1.529_186_740_959_505,
    1.487_577_158_293_388_8,
    1.445_967_582_009_979_3,
    1.404_358_015_412_336_5,
    1.362_748_461_941_311_5,
    1.321_138_925_227_93,
    1.279_529_409_151_733_3,
    1.237_919_917_907_157,
    1.196_310_456_080_473,
    1.154_701_028_740_456_7,
    1.113_091_641_546_798,
    1.071_482_300_881_451_4,
    1.029_873_014_009_735_9,
    9.882_637_892_802_374E-1,
    9.466_546_363_756_945E-1,
    9.050_455_666_314_926E-1,
    8.634_365_934_447_507E-1,
    8.218_277_328_062_565E-1,
    7.802_190_040_012_227E-1,
    7.386_104_305_454_958E-1,
    6.970_020_414_556_032E-1,
    6.553_938_730_008_771E-1,
    6.137_859_711_661_063E-1,
    5.721_783_951_857_431E-1,
    5.305_712_227_365_694E-1,
    4.889_645_577_740_233E-1,
    4.473_585_427_277_744E-1,
    4.057_533_781_735_039_3E-1,
    3.641_493_559_322_687E-1,
    3.225_469_176_515_179_4E-1,
    2.809_467_650_889_194E-1,
    2.393_500_844_055_271E-1,
    1.977_590_501_629_603E-1,
    1.561_781_206_604_067E-1,
    1.146_180_742_271_483_3E-1,
    7.311_308_274_978_66E-2,
    3.185_176_130_791_400_6E-2,
];

const ODD_THETA_ZERO_38: &[f64] = &[
    1.530_260_491_394_766_4,
    1.489_724_658_775_115_2,
    1.449_188_831_753_177_4,
    1.408_653_013_220_734_9,
    1.368_117_206_184_034,
    1.327_581_413_807_02,
    1.287_045_639_459_248_7,
    1.246_509_886_770_075_5,
    1.205_974_159_691_065,
    1.165_438_462_569_017_7,
    1.124_902_800_232_641_8,
    1.084_367_178_096_737_4,
    1.043_831_602_288_925_6,
    1.003_296_079_805_520_6,
    9.627_606_187_053_432E-1,
    9.222_252_283_533_213E-1,
    8.816_899_197_300_536E-1,
    8.411_547_058_297_167E-1,
    8.006_196_021_777_24E-1,
    7.600_846_275_129_128E-1,
    7.195_498_046_991_649E-1,
    6.790_151_619_622_966E-1,
    6.384_807_345_966_276E-1,
    5.979_465_673_637_772E-1,
    5.574_127_179_353_943E-1,
    5.168_792_619_515_767E-1,
    4.763_463_006_547_496E-1,
    4.358_139_727_703_203_6E-1,
    3.952_824_736_706_232E-1,
    3.547_520_876_199_503_6E-1,
    3.142_232_448_436_673_7E-1,
    2.736_966_289_659_02E-1,
    2.331_733_955_144_496_3E-1,
    1.926_556_629_116_315_8E-1,
    1.521_477_743_835_989_4E-1,
    1.116_602_300_918_232_4E-1,
    7.122_632_005_925_39E-2,
    3.102_979_192_734_514E-2,
];

const ODD_THETA_ZERO_39: &[f64] = &[
    1.531_280_219_945_530_9,
    1.491_764_115_543_711_6,
    1.452_248_016_067_723_1,
    1.412_731_924_058_150_6,
    1.373_215_842_151_127_1,
    1.333_699_773_114_208_2,
    1.294_183_719_885_94,
    1.254_667_685_620_366_7,
    1.215_151_673_737_978_4,
    1.175_635_687_984_935,
    1.136_119_732_502_868_2,
    1.096_603_811_912_170_4,
    1.057_087_931_412_518_6,
    1.017_572_096_905_509,
    9.780_563_151_458_207E-1,
    9.385_405_939_294_599E-1,
    8.990_249_423_306_287E-1,
    8.595_093_710_029_676E-1,
    8.199_938_925_669_823E-1,
    7.804_785_221_142_635E-1,
    7.409_632_778_721_44E-1,
    7.014_481_820_920_566E-1,
    6.619_332_622_550_151E-1,
    6.224_185_527_349_886E-1,
    5.829_040_971_371_158E-1,
    5.433_899_516_536_147E-1,
    5.038_761_899_947_553E-1,
    4.643_629_108_305_196E-1,
    4.248_502_493_722_176_6E-1,
    3.853_383_960_541_811E-1,
    3.458_276_279_674_768E-1,
    3.063_183_644_932_167E-1,
    2.668_112_720_373_341E-1,
    2.273_074_770_384_765_6E-1,
    1.878_090_446_069_578_5E-1,
    1.483_202_086_882_449_1E-1,
    1.088_512_052_741_322_6E-1,
    6.943_448_689_600_674E-2,
    3.024_917_865_720_923_3E-2,
];

const ODD_THETA_ZERO_40: &[f64] = &[
    1.532_249_903_371_281_8,
    1.493_703_482_108_998_7,
    1.455_157_065_195_200_4,
    1.416_610_654_869_340_2,
    1.378_064_253_450_997_7,
    1.339_517_863_369_794,
    1.300_971_487_198_245_4,
    1.262_425_127_688_525,
    1.223_878_787_814_308_3,
    1.185_332_470_819_113_3,
    1.146_786_180_272_904_7,
    1.108_239_920_139_165_7,
    1.069_693_694_855_262_9,
    1.031_147_509_429_735,
    9.926_013_695_612_463E-1,
    9.540_552_817_854_49E-1,
    9.155_092_536_580_933E-1,
    8.769_632_939_856_247E-1,
    8.384_174_131_186_299E-1,
    7.998_716_233_293_993E-1,
    7.613_259_393_034_546E-1,
    7.227_803_787_876_119E-1,
    6.842_349_634_562_861E-1,
    6.456_897_200_871_629E-1,
    6.071_446_821_835_497E-1,
    5.685_998_922_550_279E-1,
    5.300_554_050_908_43E-1,
    4.915_112_925_697_217_6E-1,
    4.529_676_509_187_803E-1,
    4.144_246_120_108_054_4E-1,
    3.758_823_615_873_93E-1,
    3.373_411_699_211_847_4E-1,
    2.988_014_460_838_619_4E-1,
    2.602_638_401_106_843E-1,
    2.217_294_507_811_754_2E-1,
    1.832_002_925_124_018_3E-1,
    1.446_804_953_347_050_6E-1,
    1.061_800_440_374_660_7E-1,
    6.773_059_476_567_832E-2,
    2.950_687_695_527_422_2E-2,
];

const ODD_THETA_ZERO_41: &[f64] = &[
    1.533_173_137_460_634_5,
    1.495_549_950_040_734_3,
    1.457_926_766_471_341,
    1.420_303_588_732_694_5,
    1.382_680_418_872_520_8,
    1.345_057_259_031_1,
    1.307_434_111_468_679,
    1.269_810_978_596_001_7,
    1.232_187_863_008_871_6,
    1.194_564_767_527_852,
    1.156_941_695_244_461,
    1.119_318_649_575_559_6,
    1.081_695_634_328_068,
    1.044_072_653_776_750_8,
    1.006_449_712_758_602_5,
    9.688_268_167_884_442E-1,
    9.312_039_722_018_275E-1,
    8.935_811_863_333_634E-1,
    8.559_584_677_414_483E-1,
    8.183_358_264_943_739E-1,
    7.807_132_745_385_689E-1,
    7.430_908_261_781_095E-1,
    7.054_684_987_070_4E-1,
    6.678_463_132_547_298E-1,
    6.302_242_959_332_083E-1,
    5.926_024_794_204_98E-1,
    5.549_809_051_864_956E-1,
    5.173_596_266_878_258E-1,
    4.797_387_140_623_364E-1,
    4.421_182_612_140_318_6E-1,
    4.044_983_968_396_638E-1,
    3.668_793_022_152_994_6E-1,
    3.292_612_411_240_57E-1,
    2.916_446_128_242_035E-1,
    2.540_300_517_665_934_3E-1,
    2.164_186_303_985_620_2E-1,
    1.788_123_148_742_007_7E-1,
    1.412_151_362_884_411_8E-1,
    1.036_368_402_634_645_1E-1,
    6.610_832_470_916_41E-2,
    2.880_013_396_280_84E-2,
];

const ODD_THETA_ZERO_42: &[f64] = &[
    1.534_053_181_584_449_1,
    1.497_310_038_074_501,
    1.460_566_897_984_002_7,
    1.423_823_763_069_233,
    1.387_080_635_143_548,
    1.350_337_516_098_480_7,
    1.313_594_407_926_723_9,
    1.276_851_312_747_612_7,
    1.240_108_232_835_827_3,
    1.203_365_170_654_181_7,
    1.166_622_128_891_556_8,
    1.129_879_110_507_285,
    1.093_136_118_783_624_4,
    1.056_393_157_388_405_8,
    1.019_650_230_450_503,
    9.829_073_426_515_786E-1,
    9.461_644_993_385_943E-1,
    9.094_217_066_630_321E-1,
    8.726_789_717_547_518E-1,
    8.359_363_029_411_929E-1,
    7.991_937_100_265_522E-1,
    7.624_512_046_511_992E-1,
    7.257_088_007_597_791E-1,
    6.889_665_152_185_69E-1,
    6.522_243_686_409_074E-1,
    6.154_823_865_075_504E-1,
    5.787_406_007_128_421E-1,
    5.419_990_517_384_126E-1,
    5.052_577_917_731_961E-1,
    4.685_168_892_980_174E-1,
    4.317_764_360_047_099_4E-1,
    3.950_365_575_646_973E-1,
    3.582_974_309_994_31E-1,
    3.215_593_139_080_008E-1,
    2.848_225_961_961_619E-1,
    2.480_878_974_611_689E-1,
    2.113_562_650_517_154_8E-1,
    1.746_296_191_183_898E-1,
    1.379_118_964_507_339E-1,
    1.012_126_146_941_469_4E-1,
    6.456_194_899_726_138E-2,
    2.812_645_439_079_299_4E-2,
];

const ODD_THETA_ZERO_43: &[f64] = &[
    1.534_892_997_139_557_3,
    1.498_989_668_998_897_5,
    1.463_086_343_903_285_7,
    1.427_183_023_414_814_2,
    1.391_279_709_144_040_5,
    1.355_376_402_767_822,
    1.319_473_106_048_673,
    1.283_569_820_856_137_5,
    1.247_666_549_190_743,
    1.211_763_293_211_231_4,
    1.175_860_055_265_884_2,
    1.139_956_837_928_964,
    1.104_053_644_043_539,
    1.068_150_476_772_278_3,
    1.032_247_339_658_243_7,
    9.963_442_366_982_619E-1,
    9.604_411_724_322_427E-1,
    9.245_381_520_528_253E-1,
    8.886_351_815_411_563E-1,
    8.527_322_678_365_407E-1,
    8.168_294_190_504_262E-1,
    7.809_266_447_390_143E-1,
    7.450_239_562_542_93E-1,
    7.091_213_672_012_905E-1,
    6.732_188_940_411_854E-1,
    6.373_165_568_977_467E-1,
    6.014_143_806_519_714E-1,
    5.655_123_964_528_13E-1,
    5.296_106_438_411_04E-1,
    4.937_091_737_981_756_4E-1,
    4.578_080_532_255_782E-1,
    4.219_073_717_059_785_3E-1,
    3.860_072_520_255_396E-1,
    3.501_078_671_472_636E-1,
    3.142_094_687_704_932_7E-1,
    2.783_124_378_775_218_6E-1,
    2.424_173_798_924_625_4E-1,
    2.065_253_182_141_071_6E-1,
    1.706_381_290_938_671_6E-1,
    1.347_596_593_282_315_3E-1,
    9.889_920_900_871_123E-2,
    6.308_626_356_388_784E-2,
    2.748_357_108_440_508_2E-2,
];

const ODD_THETA_ZERO_44: &[f64] = &[
    1.535_695_280_838_63,
    1.500_594_236_235_067_7,
    1.465_493_194_350_303_8,
    1.430_392_156_577_492_6,
    1.395_291_124_351_096_8,
    1.360_190_099_162_024_2,
    1.325_089_082_574,
    1.289_988_076_241_572,
    1.254_887_081_930_202_7,
    1.219_786_101_538_995,
    1.184_685_137_126_702_2,
    1.149_584_190_941_820_7,
    1.114_483_265_457_749_5,
    1.079_382_363_414_242_8,
    1.044_281_487_866_709,
    1.009_180_642_245_317_8,
    9.740_798_304_264_51E-1,
    9.389_790_568_197_675E-1,
    9.038_783_264_751_75E-1,
    8.687_776_452_153_702E-1,
    8.336_770_198_015_192E-1,
    7.985_764_581_422_97E-1,
    7.634_759_695_602_61E-1,
    7.283_755_651_349_081E-1,
    6.932_752_581_495_918E-1,
    6.581_750_646_810_479E-1,
    6.230_750_043_877_162E-1,
    5.879_751_015_798_286E-1,
    5.528_753_866_962_97E-1,
    5.177_758_983_811_02E-1,
    4.826_766_864_637_186_4E-1,
    4.475_778_163_386_701_6E-1,
    4.124_793_755_752_883_5E-1,
    3.773_814_842_049_053_6E-1,
    3.422_843_113_148_581_5E-1,
    3.071_881_029_697_498E-1,
    2.720_932_316_284_943E-1,
    2.370_002_891_767_127_6E-1,
    2.019_102_761_348_422E-1,
    1.668_250_268_181_993E-1,
    1.317_483_020_532_982_7E-1,
    9.668_919_410_176_594E-2,
    6.167_652_949_817_792E-2,
    2.686_941_953_400_763E-2,
];

const ODD_THETA_ZERO_45: &[f64] = &[
    1.536_462_493_634_653_6,
    1.502_128_661_685_489_4,
    1.467_794_832_169_950_3,
    1.433_461_006_333_747_4,
    1.399_127_185_457_927_2,
    1.364_793_370_871_767_4,
    1.330_459_563_966_682_5,
    1.296_125_766_211_457,
    1.261_791_979_169_174_5,
    1.227_458_204_516_276_3,
    1.193_124_444_064_268_8,
    1.158_790_699_784_705_5,
    1.124_456_973_838_220_9,
    1.090_123_268_608_563_3,
    1.055_789_586_742_829,
    1.021_455_931_199_402_3,
    9.871_223_053_055_24E-1,
    9.527_887_128_269_591E-1,
    9.184_551_580_529_615E-1,
    8.841_216_459_007_313E-1,
    8.497_881_820_448_998E-1,
    8.154_547_730_794_464E-1,
    7.811_214_267_220_411E-1,
    7.467_881_520_744_806E-1,
    7.124_549_599_581_423E-1,
    6.781_218_633_510_391E-1,
    6.437_888_779_643_722E-1,
    6.094_560_230_135_453E-1,
    5.751_233_222_647_906E-1,
    5.407_908_054_797_11E-1,
    5.064_585_104_462_233E-1,
    4.721_264_858_937_837E-1,
    4.377_947_957_771_643E-1,
    4.034_635_257_416_918_6E-1,
    3.691_327_931_855_416_5E-1,
    3.348_027_634_909_946_4E-1,
    3.004_736_773_353_657_3E-1,
    2.661_458_990_278_704E-1,
    2.318_200_075_085_118E-1,
    1.974_969_814_205_034_5E-1,
    1.631_786_149_772_797E-1,
    1.288_685_867_945_150_2E-1,
    9.457_579_039_019_365E-2,
    6.032_842_220_945_916_5E-2,
    2.628_211_572_883_546E-2,
];

const ODD_THETA_ZERO_46: &[f64] = &[
    1.537_196_885_933_572_3,
    1.503_597_446_159_129_7,
    1.469_998_008_568_304_2,
    1.436_398_574_277_729_4,
    1.402_799_144_434_368_4,
    1.369_199_720_226_542_2,
    1.335_600_302_895_785_7,
    1.302_000_893_749_787_8,
    1.268_401_494_176_718_3,
    1.234_802_105_661_283,
    1.201_202_729_802_928_6,
    1.167_603_368_336_689,
    1.134_004_023_157_288_5,
    1.100_404_696_347_243_4,
    1.066_805_390_209_896,
    1.033_206_107_308_545_7,
    9.996_068_505_131_473E-1,
    9.660_076_230_564_559E-1,
    9.324_084_286_020_319E-1,
    8.988_092_713_272_343E-1,
    8.652_101_560_253_048E-1,
    8.316_110_882_319_595E-1,
    7.980_120_743_837_287E-1,
    7.644_131_220_178_279E-1,
    7.308_142_400_269_309E-1,
    6.972_154_389_873_656E-1,
    6.636_167_315_867_435E-1,
    6.300_181_331_881_123E-1,
    5.964_196_625_844_131E-1,
    5.628_213_430_226_633E-1,
    5.292_232_036_175_456E-1,
    4.956_252_813_388_603E-1,
    4.620_276_238_643_497E-1,
    4.284_302_937_718_012_5E-1,
    3.948_333_748_659_561_5E-1,
    3.612_369_820_255_325E-1,
    3.276_412_770_872_601E-1,
    2.940_464_955_725_917E-1,
    2.604_529_939_906_063E-1,
    2.268_613_388_903_867_3E-1,
    1.932_724_879_746_856_9E-1,
    1.596_881_970_714_452_4E-1,
    1.261_120_661_032_951_7E-1,
    9.255_279_834_764_232E-2,
    5.903_798_711_627_596E-2,
    2.571_993_685_288_741_2E-2,
];

const ODD_THETA_ZERO_47: &[f64] = &[
    1.537_900_519_639_177_3,
    1.505_004_713_461_118_9,
    1.472_108_909_246_876_7,
    1.439_213_107_999_753_9,
    1.406_317_310_749_171_8,
    1.373_421_518_560_135_7,
    1.340_525_732_543_379,
    1.307_629_953_866_4,
    1.274_734_183_765_634_5,
    1.241_838_423_560_042_4,
    1.208_942_674_666_441_6,
    1.176_046_938_616_99,
    1.143_151_217_079_297,
    1.110_255_511_879_752_1,
    1.077_359_825_030_803_2,
    1.044_464_158_763_086_5,
    1.011_568_515_563_551,
    9.786_728_982_210_094E-1,
    9.457_773_098_809_58E-1,
    9.128_817_541_120_208E-1,
    8.799_862_349_870_846E-1,
    8.470_907_571_831_348E-1,
    8.141_953_261_050_969E-1,
    7.812_999_480_407_721E-1,
    7.484_046_303_564_402E-1,
    7.155_093_817_462_244E-1,
    6.826_142_125_533_466E-1,
    6.497_191_351_887_404E-1,
    6.168_241_646_833_333E-1,
    5.839_293_194_266_533E-1,
    5.510_346_221_695_15E-1,
    5.181_401_014_079_634E-1,
    4.852_457_933_290_632_6E-1,
    4.523_517_446_039_431E-1,
    4.194_580_164_920_722_6E-1,
    3.865_646_910_356_375E-1,
    3.536_718_807_003_19E-1,
    3.207_797_439_266_498E-1,
    2.878_885_112_969_848_4E-1,
    2.549_985_318_477_515_6E-1,
    2.221_103_602_568_508_3E-1,
    1.892_249_341_643_785_2E-1,
    1.563_439_726_212_394_7E-1,
    1.234_710_001_537_068_2E-1,
    9.061_453_776_736_62E-2,
    5.780_160_090_309_369E-2,
    2.518_130_440_638_251_6E-2,
];

const ODD_THETA_ZERO_48: &[f64] = &[
    1.538_575_287_485_045_8,
    1.506_354_249_056_545_8,
    1.474_133_212_398_093_5,
    1.441_912_178_413_208_5,
    1.409_691_148_027_974,
    1.377_470_122_199_186_3,
    1.345_249_101_923_067_2,
    1.313_028_088_244_711_4,
    1.280_807_082_268_469_4,
    1.248_586_085_169_490_5,
    1.216_365_098_206_699_1,
    1.184_144_122_737_519,
    1.151_923_160_234_735_7,
    1.119_702_212_305_964_1,
    1.087_481_280_716_290_8,
    1.055_260_367_414_81,
    1.023_039_474_565_930_1,
    9.908_186_045_865_675E-1,
    9.585_977_601_906_32E-1,
    9.263_769_444_426_037E-1,
    8.941_561_608_225_062E-1,
    8.619_354_133_052_818E-1,
    8.297_147_064_584_917E-1,
    7.974_940_455_635_383E-1,
    7.652_734_367_673_509E-1,
    7.330_528_872_739_118E-1,
    7.008_324_055_884_452E-1,
    6.686_120_018_320_298E-1,
    6.363_916_881_515_75E-1,
    6.041_714_792_607_29E-1,
    5.719_513_931_632_927E-1,
    5.397_314_521_353E-1,
    5.075_116_840_805_377E-1,
    4.752_921_244_363_892E-1,
    4.430_728_189_095_547_4E-1,
    4.108_538_274_961_112_7E-1,
    3.786_352_305_487_998_3E-1,
    3.464_171_382_200_184_6E-1,
    3.141_997_056_941_599E-1,
    2.819_831_588_178_046_7E-1,
    2.497_678_394_619_649_3E-1,
    2.175_542_909_210_22E-1,
    1.853_434_315_961_135_8E-1,
    1.531_369_452_704_970_4E-1,
    1.209_382_841_678_252_6E-1,
    8.875_579_450_016_283E-2,
    5.661_593_754_525_191E-2,
    2.466_476_940_450_737E-2,
];

const ODD_THETA_ZERO_49: &[f64] = &[
    1.539_222_930_035_210_3,
    1.507_649_534_071_73,
    1.476_076_139_707_032_6,
    1.444_502_747_756_546_6,
    1.412_929_359_055_252_5,
    1.381_355_974_464_721_5,
    1.349_782_594_880_622_8,
    1.318_209_221_240_839_4,
    1.286_635_854_534_357_5,
    1.255_062_495_811_113,
    1.223_489_146_193_015_5,
    1.191_915_806_886_406,
    1.160_342_479_196_260_4,
    1.128_769_164_542_51,
    1.097_195_864_478_936_6,
    1.065_622_580_715_200_7,
    1.034_049_315_142_698_6,
    1.002_476_069_865_111,
    9.709_028_472_347_33E-1,
    9.393_296_498_959_608E-1,
    9.077_564_808_376_97E-1,
    8.761_833_434_569_334E-1,
    8.446_102_416_364_528E-1,
    8.130_371_798_404_961E-1,
    7.814_641_632_334_84E-1,
    7.498_911_978_285_965E-1,
    7.183_182_906_753_955E-1,
    6.867_454_500_990_592E-1,
    6.551_726_860_086_247E-1,
    6.236_000_102_986_843E-1,
    5.920_274_373_793_84E-1,
    5.604_549_848_852_622E-1,
    5.288_826_746_375_584E-1,
    4.973_105_339_724_572E-1,
    4.657_385_976_085_971E-1,
    4.341_669_103_277_771E-1,
    4.025_955_309_141_879E-1,
    3.710_245_380_997_234E-1,
    3.394_540_398_171_456E-1,
    3.078_841_881_262_277_5E-1,
    2.763_152_043_287_541E-1,
    2.447_474_234_189_502_6E-1,
    2.131_813_777_658_572E-1,
    1.816_179_673_056_091E-1,
    1.500_588_419_721_174_4E-1,
    1.185_073_845_935_281_6E-1,
    8.697_177_361_567_243E-2,
    5.547_793_843_128_156_3E-2,
    2.416_899_936_118_312E-2,
];

const ODD_THETA_ZEROS: [&[f64]; 49] = [
    ODD_THETA_ZERO_1,
    ODD_THETA_ZERO_2,
    ODD_THETA_ZERO_3,
    ODD_THETA_ZERO_4,
    ODD_THETA_ZERO_5,
    ODD_THETA_ZERO_6,
    ODD_THETA_ZERO_7,
    ODD_THETA_ZERO_8,
    ODD_THETA_ZERO_9,
    ODD_THETA_ZERO_10,
    ODD_THETA_ZERO_11,
    ODD_THETA_ZERO_12,
    ODD_THETA_ZERO_13,
    ODD_THETA_ZERO_14,
    ODD_THETA_ZERO_15,
    ODD_THETA_ZERO_16,
    ODD_THETA_ZERO_17,
    ODD_THETA_ZERO_18,
    ODD_THETA_ZERO_19,
    ODD_THETA_ZERO_20,
    ODD_THETA_ZERO_21,
    ODD_THETA_ZERO_22,
    ODD_THETA_ZERO_23,
    ODD_THETA_ZERO_24,
    ODD_THETA_ZERO_25,
    ODD_THETA_ZERO_26,
    ODD_THETA_ZERO_27,
    ODD_THETA_ZERO_28,
    ODD_THETA_ZERO_29,
    ODD_THETA_ZERO_30,
    ODD_THETA_ZERO_31,
    ODD_THETA_ZERO_32,
    ODD_THETA_ZERO_33,
    ODD_THETA_ZERO_34,
    ODD_THETA_ZERO_35,
    ODD_THETA_ZERO_36,
    ODD_THETA_ZERO_37,
    ODD_THETA_ZERO_38,
    ODD_THETA_ZERO_39,
    ODD_THETA_ZERO_40,
    ODD_THETA_ZERO_41,
    ODD_THETA_ZERO_42,
    ODD_THETA_ZERO_43,
    ODD_THETA_ZERO_44,
    ODD_THETA_ZERO_45,
    ODD_THETA_ZERO_46,
    ODD_THETA_ZERO_47,
    ODD_THETA_ZERO_48,
    ODD_THETA_ZERO_49,
];

const EVEN_THETA_ZEROS: [&[f64]; 50] = [
    EVEN_THETA_ZERO_1,
    EVEN_THETA_ZERO_2,
    EVEN_THETA_ZERO_3,
    EVEN_THETA_ZERO_4,
    EVEN_THETA_ZERO_5,
    EVEN_THETA_ZERO_6,
    EVEN_THETA_ZERO_7,
    EVEN_THETA_ZERO_8,
    EVEN_THETA_ZERO_9,
    EVEN_THETA_ZERO_10,
    EVEN_THETA_ZERO_11,
    EVEN_THETA_ZERO_12,
    EVEN_THETA_ZERO_13,
    EVEN_THETA_ZERO_14,
    EVEN_THETA_ZERO_15,
    EVEN_THETA_ZERO_16,
    EVEN_THETA_ZERO_17,
    EVEN_THETA_ZERO_18,
    EVEN_THETA_ZERO_19,
    EVEN_THETA_ZERO_20,
    EVEN_THETA_ZERO_21,
    EVEN_THETA_ZERO_22,
    EVEN_THETA_ZERO_23,
    EVEN_THETA_ZERO_24,
    EVEN_THETA_ZERO_25,
    EVEN_THETA_ZERO_26,
    EVEN_THETA_ZERO_27,
    EVEN_THETA_ZERO_28,
    EVEN_THETA_ZERO_29,
    EVEN_THETA_ZERO_30,
    EVEN_THETA_ZERO_31,
    EVEN_THETA_ZERO_32,
    EVEN_THETA_ZERO_33,
    EVEN_THETA_ZERO_34,
    EVEN_THETA_ZERO_35,
    EVEN_THETA_ZERO_36,
    EVEN_THETA_ZERO_37,
    EVEN_THETA_ZERO_38,
    EVEN_THETA_ZERO_39,
    EVEN_THETA_ZERO_40,
    EVEN_THETA_ZERO_41,
    EVEN_THETA_ZERO_42,
    EVEN_THETA_ZERO_43,
    EVEN_THETA_ZERO_44,
    EVEN_THETA_ZERO_45,
    EVEN_THETA_ZERO_46,
    EVEN_THETA_ZERO_47,
    EVEN_THETA_ZERO_48,
    EVEN_THETA_ZERO_49,
    EVEN_THETA_ZERO_50,
];

// the weight of these nodes

const EVEN_W_1: &[f64] = &[1.0E+00];

const EVEN_W_2: &[f64] = &[6.521_451_548_625_461E-1, 3.478_548_451_374_538_5E-1];

const EVEN_W_3: &[f64] = &[
    4.679_139_345_726_910_4E-1,
    3.607_615_730_481_386E-1,
    1.713_244_923_791_703_6E-1,
];

const EVEN_W_4: &[f64] = &[
    3.626_837_833_783_62E-1,
    3.137_066_458_778_872_7E-1,
    2.223_810_344_533_744_8E-1,
    1.012_285_362_903_762_6E-1,
];

const EVEN_W_5: &[f64] = &[
    2.955_242_247_147_528_7E-1,
    2.692_667_193_099_963_5E-1,
    2.190_863_625_159_820_4E-1,
    1.494_513_491_505_806E-1,
    6.667_134_430_868_814E-2,
];

const EVEN_W_6: &[f64] = &[
    2.491_470_458_134_027_7E-1,
    2.334_925_365_383_548E-1,
    2.031_674_267_230_659_2E-1,
    1.600_783_285_433_462_2E-1,
    1.069_393_259_953_184_3E-1,
    4.717_533_638_651_183E-2,
];

const EVEN_W_7: &[f64] = &[
    2.152_638_534_631_578E-1,
    2.051_984_637_212_956E-1,
    1.855_383_974_779_378_2E-1,
    1.572_031_671_581_935_5E-1,
    1.215_185_706_879_031_9E-1,
    8.015_808_715_976_021E-2,
    3.511_946_033_175_186E-2,
];

const EVEN_W_8: &[f64] = &[
    1.894_506_104_550_685E-1,
    1.826_034_150_449_235_8E-1,
    1.691_565_193_950_025_4E-1,
    1.495_959_888_165_767_4E-1,
    1.246_289_712_555_338_8E-1,
    9.515_851_168_249_279E-2,
    6.225_352_393_864_789_4E-2,
    2.715_245_941_175_409_6E-2,
];

const EVEN_W_9: &[f64] = &[
    1.691_423_829_631_436E-1,
    1.642_764_837_458_327_3E-1,
    1.546_846_751_262_652_4E-1,
    1.406_429_146_706_506_5E-1,
    1.225_552_067_114_784_6E-1,
    1.009_420_441_062_871_7E-1,
    7.642_573_025_488_905E-2,
    4.971_454_889_496_98E-2,
    2.161_601_352_648_331E-2,
];

const EVEN_W_10: &[f64] = &[
    1.527_533_871_307_258_4E-1,
    1.491_729_864_726_037_4E-1,
    1.420_961_093_183_820_4E-1,
    1.316_886_384_491_766_4E-1,
    1.181_945_319_615_184_1E-1,
    1.019_301_198_172_404_4E-1,
    8.327_674_157_670_475E-2,
    6.267_204_833_410_907E-2,
    4.060_142_980_038_694E-2,
    1.761_400_713_915_211_8E-2,
];

const EVEN_W_11: &[f64] = &[
    1.392_518_728_556_319_8E-1,
    1.365_414_983_460_151_7E-1,
    1.311_735_047_870_623_8E-1,
    1.232_523_768_105_124_2E-1,
    1.129_322_960_805_392_2E-1,
    1.004_141_444_428_809_6E-1,
    8.594_160_621_706_773E-2,
    6.979_646_842_452_049E-2,
    5.229_333_515_268_328_6E-2,
    3.377_490_158_481_415E-2,
    1.462_799_529_827_22E-2,
];

const EVEN_W_12: &[f64] = &[
    1.279_381_953_467_521_6E-1,
    1.258_374_563_468_283E-1,
    1.216_704_729_278_033_9E-1,
    1.155_056_680_537_256E-1,
    1.074_442_701_159_656_3E-1,
    9.761_865_210_411_388E-2,
    8.619_016_153_195_327E-2,
    7.334_648_141_108_03E-2,
    5.929_858_491_543_678E-2,
    4.427_743_881_741_981E-2,
    2.853_138_862_893_366_3E-2,
    1.234_122_979_998_72E-2,
];

const EVEN_W_13: &[f64] = &[
    1.183_214_152_792_622_8E-1,
    1.166_604_434_852_965_8E-1,
    1.133_618_165_463_196_6E-1,
    1.084_718_405_285_765_9E-1,
    1.020_591_610_944_254_2E-1,
    9.421_380_035_591_415E-2,
    8.504_589_431_348_523E-2,
    7.468_414_976_565_975E-2,
    6.327_404_632_957_484E-2,
    5.097_582_529_714_781E-2,
    3.796_238_329_436_276_6E-2,
    2.441_785_109_263_191E-2,
    1.055_137_261_734_300_6E-2,
];

const EVEN_W_14: &[f64] = &[
    1.100_470_130_164_752E-1,
    1.087_111_922_582_941_3E-1,
    1.060_557_659_228_464_2E-1,
    1.021_129_675_780_607_6E-1,
    9.693_065_799_792_992E-2,
    9.057_174_439_303_284E-2,
    8.311_341_722_890_121E-2,
    7.464_621_423_456_878E-2,
    6.527_292_396_699_96E-2,
    5.510_734_567_571_675E-2,
    4.427_293_475_900_423E-2,
    3.290_142_778_230_438E-2,
    2.113_211_259_277_126E-2,
    9.124_282_593_094_517E-3,
];

const EVEN_W_15: &[f64] = &[
    1.028_526_528_935_588_4E-1,
    1.017_623_897_484_055E-1,
    9.959_342_058_679_527E-2,
    9.636_873_717_464_425E-2,
    9.212_252_223_778_612E-2,
    8.689_978_720_108_298E-2,
    8.075_589_522_942_021E-2,
    7.375_597_473_770_52E-2,
    6.597_422_988_218_049E-2,
    5.749_315_621_761_906_5E-2,
    4.840_267_283_059_405E-2,
    3.879_919_256_962_705E-2,
    2.878_470_788_332_337E-2,
    1.846_646_831_109_096E-2,
    7.968_192_496_166_605E-3,
];

const EVEN_W_16: &[f64] = &[
    9.654_008_851_472_78E-2,
    9.563_872_007_927_486E-2,
    9.384_439_908_080_457E-2,
    9.117_387_869_576_389E-2,
    8.765_209_300_440_381E-2,
    8.331_192_422_694_675E-2,
    7.819_389_578_707_031E-2,
    7.234_579_410_884_85E-2,
    6.582_222_277_636_185E-2,
    5.868_409_347_853_554_4E-2,
    5.099_805_926_237_617_5E-2,
    4.283_589_802_222_668E-2,
    3.427_386_291_302_143E-2,
    2.539_206_530_926_206E-2,
    1.627_439_473_090_567E-2,
    7.018_610_009_470_096E-3,
];

const EVEN_W_17: &[f64] = &[
    9.095_674_033_025_987E-2,
    9.020_304_437_064_074E-2,
    8.870_189_783_569_386E-2,
    8.646_573_974_703_575E-2,
    8.351_309_969_984_566E-2,
    7.986_844_433_977_185E-2,
    7.556_197_466_003_194E-2,
    7.062_937_581_425_573E-2,
    6.511_152_155_407_642E-2,
    5.905_413_582_752_449_4E-2,
    5.250_741_457_267_811E-2,
    4.552_561_152_335_327E-2,
    3.816_659_379_638_752E-2,
    3.049_138_063_844_613E-2,
    2.256_372_198_549_497E-2,
    1.445_016_274_859_503_6E-2,
    6.229_140_555_908_685E-3,
];

const EVEN_W_18: &[f64] = &[
    8.598_327_567_039_475E-2,
    8.534_668_573_933_862E-2,
    8.407_821_897_966_193E-2,
    8.218_726_670_433_97E-2,
    7.968_782_891_207_16E-2,
    7.659_841_064_587_067E-2,
    7.294_188_500_565_306E-2,
    6.874_532_383_573_645E-2,
    6.403_979_735_501_548E-2,
    5.886_014_424_532_482E-2,
    5.324_471_397_775_992E-2,
    4.723_508_349_026_598E-2,
    4.087_575_092_364_489E-2,
    3.421_381_077_030_723E-2,
    2.729_862_149_856_878E-2,
    2.018_151_529_773_547_2E-2,
    1.291_594_728_406_557_4E-2,
    5.565_719_664_245_045_5E-3,
];

const EVEN_W_19: &[f64] = &[
    8.152_502_928_038_578E-2,
    8.098_249_377_059_71E-2,
    7.990_103_324_352_782E-2,
    7.828_784_465_821_095E-2,
    7.615_366_354_844_64E-2,
    7.351_269_258_474_345E-2,
    7.038_250_706_689_896E-2,
    6.678_393_797_914_041E-2,
    6.274_093_339_213_306E-2,
    5.828_039_914_699_72E-2,
    5.343_201_991_033_232E-2,
    4.822_806_186_075_868E-2,
    4.270_315_850_467_443E-2,
    3.689_408_159_402_474E-2,
    3.083_950_054_517_505_3E-2,
    2.457_973_973_823_237_4E-2,
    1.815_657_770_961_323_6E-2,
    1.161_344_471_646_867_5E-2,
    5.002_880_749_639_346E-3,
];

const EVEN_W_20: &[f64] = &[
    7.750_594_797_842_48E-2,
    7.703_981_816_424_797E-2,
    7.611_036_190_062_624E-2,
    7.472_316_905_796_826E-2,
    7.288_658_239_580_406E-2,
    7.061_164_739_128_678E-2,
    6.791_204_581_523_39E-2,
    6.480_401_345_660_104E-2,
    6.130_624_249_292_894E-2,
    5.743_976_909_939_155E-2,
    5.322_784_698_393_682E-2,
    4.869_580_763_507_223E-2,
    4.387_090_818_567_327E-2,
    3.878_216_797_447_201_6E-2,
    3.346_019_528_254_784_4E-2,
    2.793_700_698_002_34E-2,
    2.224_584_919_416_696E-2,
    1.642_105_838_190_789E-2,
    1.049_828_453_115_281_3E-2,
    4.521_277_098_533_191E-3,
];

const EVEN_W_21: &[f64] = &[
    7.386_423_423_217_288E-2,
    7.346_081_345_346_753E-2,
    7.265_617_524_380_41E-2,
    7.145_471_426_517_098E-2,
    6.986_299_249_259_416E-2,
    6.788_970_337_652_195E-2,
    6.554_562_436_490_897E-2,
    6.284_355_804_500_258E-2,
    5.979_826_222_758_665_6E-2,
    5.642_636_935_801_838E-2,
    5.274_629_569_917_407E-2,
    4.877_814_079_280_324_4E-2,
    4.454_357_777_196_588E-2,
    4.006_573_518_069_226_5E-2,
    3.536_907_109_759_211E-2,
    3.047_924_069_960_346_7E-2,
    2.542_295_952_611_304_7E-2,
    2.022_786_956_905_264_4E-2,
    1.492_244_369_735_749_3E-2,
    9.536_220_301_748_503E-3,
    4.105_998_604_649_085E-3,
];

const EVEN_W_22: &[f64] = &[
    7.054_915_778_935_407E-2,
    7.019_768_547_355_822E-2,
    6.949_649_186_157_258E-2,
    6.844_907_026_936_665E-2,
    6.706_063_890_629_366E-2,
    6.533_811_487_918_144E-2,
    6.329_007_973_320_386E-2,
    6.092_673_670_156_197E-2,
    5.825_985_987_759_549E-2,
    5.530_273_556_372_805_6E-2,
    5.207_009_609_170_446E-2,
    4.857_804_644_835_203_6E-2,
    4.484_398_408_197_003E-2,
    4.088_651_231_034_622E-2,
    3.672_534_781_380_887E-2,
    3.238_122_281_206_982E-2,
    2.787_578_282_128_101E-2,
    2.323_148_190_201_921E-2,
    1.847_148_173_681_475E-2,
    1.361_958_675_557_998_5E-2,
    8.700_481_367_524_843E-3,
    3.745_404_803_112_777_6E-3,
];

const EVEN_W_23: &[f64] = &[
    6.751_868_584_903_646E-2,
    6.721_061_360_067_818E-2,
    6.659_587_476_845_488E-2,
    6.567_727_426_778_121E-2,
    6.445_900_346_713_906E-2,
    6.294_662_106_439_451E-2,
    6.114_702_772_465_048E-2,
    5.906_843_459_554_632E-2,
    5.672_032_584_399_123E-2,
    5.411_341_538_585_675_4E-2,
    5.125_959_800_714_302E-2,
    4.817_189_510_171_22E-2,
    4.486_439_527_731_813E-2,
    4.135_219_010_967_873E-2,
    3.765_130_535_738_607E-2,
    3.377_862_799_910_69E-2,
    2.975_182_955_220_275_6E-2,
    2.558_928_639_713_001_2E-2,
    2.130_999_875_413_65E-2,
    1.693_351_400_783_624E-2,
    1.247_988_377_098_868_5E-2,
    7.969_898_229_724_623E-3,
    3.430_300_868_107_048_3E-3,
];

const EVEN_W_24: &[f64] = &[
    6.473_769_681_268_392E-2,
    6.446_616_443_595_009E-2,
    6.392_423_858_464_819E-2,
    6.311_419_228_625_402E-2,
    6.203_942_315_989_266_5E-2,
    6.070_443_916_589_388E-2,
    5.911_483_969_839_563_5E-2,
    5.727_729_210_040_321_4E-2,
    5.519_950_369_998_416_5E-2,
    5.289_018_948_519_367E-2,
    5.035_903_555_385_447E-2,
    4.761_665_849_249_048E-2,
    4.467_456_085_669_428E-2,
    4.154_508_294_346_475E-2,
    3.824_135_106_583_071E-2,
    3.477_722_256_477_044E-2,
    3.116_722_783_279_809E-2,
    2.742_650_970_835_694_8E-2,
    2.357_076_083_932_438E-2,
    1.961_616_045_735_553E-2,
    1.557_931_572_294_384_9E-2,
    1.147_723_457_923_454E-2,
    7.327_553_901_276_262_5E-3,
    3.153_346_052_305_838_5E-3,
];

const EVEN_W_25: &[f64] = &[
    6.217_661_665_534_726E-2,
    6.193_606_742_068_324E-2,
    6.145_589_959_031_666_5E-2,
    6.073_797_084_177_022E-2,
    5.978_505_870_426_546E-2,
    5.860_084_981_322_244_4E-2,
    5.718_992_564_772_838E-2,
    5.555_774_480_621_252E-2,
    5.371_062_188_899_624_5E-2,
    5.165_570_306_958_114E-2,
    4.940_093_844_946_632E-2,
    4.695_505_130_394_843_4E-2,
    4.432_750_433_880_327_4E-2,
    4.152_846_309_014_769_6E-2,
    3.856_875_661_258_768E-2,
    3.545_983_561_514_615E-2,
    3.221_372_822_357_801_4E-2,
    2.884_299_358_053_519_7E-2,
    2.536_067_357_001_239E-2,
    2.178_024_317_012_479_4E-2,
    1.811_556_071_348_939_2E-2,
    1.438_082_276_148_557_4E-2,
    1.059_054_838_365_096_9E-2,
    6.759_799_195_745_401E-3,
    2.908_622_553_155_141E-3,
];

const EVEN_W_26: &[f64] = &[
    5.981_036_574_529_186E-2,
    5.959_626_017_124_816E-2,
    5.916_881_546_604_297E-2,
    5.852_956_177_181_387E-2,
    5.768_078_745_252_682_6E-2,
    5.662_553_090_236_86E-2,
    5.536_756_966_930_265E-2,
    5.391_140_693_275_726E-2,
    5.226_225_538_390_699E-2,
    5.042_601_856_634_238E-2,
    4.840_926_974_407_49E-2,
    4.621_922_837_278_479E-2,
    4.386_373_425_900_040_6E-2,
    4.135_121_950_056_027E-2,
    3.869_067_831_042_398E-2,
    3.589_163_483_509_723E-2,
    3.296_410_908_971_88E-2,
    2.991_858_114_714_394_6E-2,
    2.676_595_374_650_401_3E-2,
    2.351_751_355_398_446_3E-2,
    2.018_489_150_798_079_3E-2,
    1.678_002_339_630_073_7E-2,
    1.331_511_498_234_096_1E-2,
    9.802_634_579_462_751E-3,
    6.255_523_962_973_277E-3,
    2.691_316_950_047_111_3E-3,
];

const EVEN_W_27: &[f64] = &[
    5.761_753_670_714_702_5E-2,
    5.742_613_705_411_211E-2,
    5.704_397_355_879_46E-2,
    5.647_231_573_062_596_5E-2,
    5.571_306_256_058_998_5E-2,
    5.476_873_621_305_798_6E-2,
    5.364_247_364_755_361E-2,
    5.233_801_619_829_875E-2,
    5.085_969_714_618_815E-2,
    4.921_242_732_452_888_6E-2,
    4.740_167_880_644_499E-2,
    4.543_346_672_827_671_5E-2,
    4.331_432_930_959_701E-2,
    4.105_130_613_664_497_6E-2,
    3.865_191_478_210_252E-2,
    3.612_412_584_038_355_4E-2,
    3.347_633_646_437_265E-2,
    3.071_734_249_787_067_7E-2,
    2.785_630_931_059_587E-2,
    2.490_274_146_720_877_4E-2,
    2.186_645_142_285_308_4E-2,
    1.875_752_762_146_938E-2,
    1.558_630_303_592_413_1E-2,
    1.236_332_812_884_764_4E-2,
    9.099_369_455_509_397E-3,
    5.805_611_015_239_985E-3,
    2.497_481_835_761_586E-3,
];

const EVEN_W_28: &[f64] = &[
    5.557_974_630_651_439_7E-2,
    5.540_795_250_324_512E-2,
    5.506_489_590_176_242_4E-2,
    5.455_163_687_088_942_4E-2,
    5.386_976_186_571_449E-2,
    5.302_137_852_401_076_6E-2,
    5.200_910_915_174_14E-2,
    5.083_608_261_779_848_4E-2,
    4.950_592_468_304_758E-2,
    4.802_274_679_360_026E-2,
    4.639_113_337_300_189_4E-2,
    4.461_612_765_269_228E-2,
    4.270_321_608_466_709E-2,
    4.065_831_138_474_452E-2,
    3.848_773_425_924_766E-2,
    3.619_819_387_231_519E-2,
    3.379_676_711_561_176E-2,
    3.129_087_674_731_044_5E-2,
    2.868_826_847_382_274E-2,
    2.599_698_705_839_195_4E-2,
    2.322_535_156_256_531_5E-2,
    2.038_192_988_240_257E-2,
    1.747_551_291_140_094_6E-2,
    1.451_508_927_802_147_2E-2,
    1.150_982_434_038_338_3E-2,
    8.469_063_163_307_887E-3,
    5.402_522_246_015_338E-3,
    2.323_855_375_773_215_6E-3,
];

const EVEN_W_29: &[f64] = &[
    5.368_111_986_333_485E-2,
    5.352_634_330_405_825_5E-2,
    5.321_723_644_657_901E-2,
    5.275_469_052_637_083_6E-2,
    5.214_003_918_366_982E-2,
    5.137_505_461_828_572_5E-2,
    5.046_194_247_995_313E-2,
    4.940_333_550_896_239E-2,
    4.820_228_594_541_775E-2,
    4.686_225_672_902_634_4E-2,
    4.538_711_151_481_980_6E-2,
    4.378_110_353_364_025E-2,
    4.204_886_332_958_212_4E-2,
    4.019_538_540_986_78E-2,
    3.822_601_384_585_843_5E-2,
    3.614_642_686_708_727E-2,
    3.396_262_049_341_601E-2,
    3.168_089_125_380_933E-2,
    2.930_781_804_416_049E-2,
    2.685_024_318_198_187E-2,
    2.431_525_272_496_395_2E-2,
    2.171_015_614_014_623_6E-2,
    1.904_246_546_189_340_7E-2,
    1.631_987_423_497_096_4E-2,
    1.355_023_711_298_881_2E-2,
    1.074_155_353_287_877_3E-2,
    7.901_973_849_998_675E-3,
    5.039_981_612_650_243E-3,
    2.167_723_249_627_45E-3,
];

const EVEN_W_30: &[f64] = &[
    5.190_787_763_122_063_6E-2,
    5.176_794_317_491_019E-2,
    5.148_845_150_098_093_5E-2,
    5.107_015_606_985_563E-2,
    5.051_418_453_250_937_4E-2,
    4.982_203_569_055_018E-2,
    4.899_557_545_575_683_5E-2,
    4.803_703_181_997_118E-2,
    4.694_898_884_891_22E-2,
    4.573_437_971_611_448_6E-2,
    4.439_647_879_578_711E-2,
    4.293_889_283_593_564E-2,
    4.136_555_123_558_475_3E-2,
    3.968_069_545_238_08E-2,
    3.788_886_756_924_344_4E-2,
    3.599_489_805_108_45E-2,
    3.400_389_272_494_642E-2,
    3.192_121_901_929_633E-2,
    2.975_249_150_078_894_4E-2,
    2.750_355_674_992_479E-2,
    2.518_047_762_152_124_7E-2,
    2.278_951_694_399_782E-2,
    2.033_712_072_945_728_6E-2,
    1.782_990_101_420_772E-2,
    1.527_461_859_678_479_9E-2,
    1.267_816_647_681_596E-2,
    1.004_755_718_228_798_4E-2,
    7.389_931_163_345_456E-3,
    4.712_729_926_953_568E-3,
    2.026_811_968_873_758_5E-3,
];

const EVEN_W_31: &[f64] = &[
    5.024_800_037_525_628E-2,
    5.012_106_956_904_329E-2,
    4.986_752_859_495_239_4E-2,
    4.948_801_791_969_929E-2,
    4.898_349_622_051_783_5E-2,
    4.835_523_796_347_767_5E-2,
    4.760_483_018_410_123_5E-2,
    4.673_416_847_841_552E-2,
    4.574_545_221_457_018E-2,
    4.464_117_897_712_441E-2,
    4.342_413_825_804_742E-2,
    4.209_740_441_038_51E-2,
    4.066_432_888_241_744_4E-2,
    3.912_853_175_196_308E-2,
    3.749_389_258_228_003E-2,
    3.576_454_062_276_814E-2,
    3.394_484_437_941_054_6E-2,
    3.203_940_058_162_468E-2,
    3.005_302_257_398_987E-2,
    2.799_072_816_331_464E-2,
    2.585_772_695_402_469_7E-2,
    2.365_940_720_868_279_4E-2,
    2.140_132_227_766_996_7E-2,
    1.908_917_665_857_32E-2,
    1.672_881_179_017_731_6E-2,
    1.432_619_182_380_651_8E-2,
    1.188_739_011_701_050_1E-2,
    9.418_579_428_420_388E-3,
    6.926_041_901_830_961E-3,
    4.416_333_456_930_905E-3,
    1.899_205_679_513_690_5E-3,
];

const EVEN_W_32: &[f64] = &[
    4.869_095_700_913_972_4E-2,
    4.857_546_744_150_343E-2,
    4.834_476_223_480_295_4E-2,
    4.799_938_859_645_831E-2,
    4.754_016_571_483_031E-2,
    4.696_818_281_621_002E-2,
    4.628_479_658_131_441_6E-2,
    4.549_162_792_741_814E-2,
    4.459_055_816_375_656_6E-2,
    4.358_372_452_932_345E-2,
    4.247_351_512_365_359E-2,
    4.126_256_324_262_353E-2,
    3.995_374_113_272_034E-2,
    3.855_015_317_861_562_6E-2,
    3.705_512_854_024_005E-2,
    3.547_221_325_688_238_6E-2,
    3.380_516_183_714_160_6E-2,
    3.205_792_835_485_155E-2,
    3.023_465_707_240_247_8E-2,
    2.833_967_261_425_948_3E-2,
    2.637_746_971_505_466E-2,
    2.435_270_256_871_087_4E-2,
    2.227_017_380_838_325_3E-2,
    2.013_482_315_353_021E-2,
    1.795_171_577_569_734_3E-2,
    1.572_603_047_602_471_8E-2,
    1.346_304_789_671_864_3E-2,
    1.116_813_946_013_112_8E-2,
    8.846_759_826_363_947E-3,
    6.504_457_968_978_363E-3,
    4.147_033_260_562_468E-3,
    1.783_280_721_696_433E-3,
];

const EVEN_W_33: &[f64] = &[
    4.722_748_126_299_855_5E-2,
    4.712_209_828_764_473_6E-2,
    4.691_156_748_762_083E-2,
    4.659_635_863_958_410_5E-2,
    4.617_717_509_791_597_5E-2,
    4.565_495_222_527_305_6E-2,
    4.503_085_530_544_15E-2,
    4.430_627_694_315_316_5E-2,
    4.348_283_395_666_748E-2,
    4.256_236_377_005_572E-2,
    4.154_692_031_324_188E-2,
    4.043_876_943_895_497_6E-2,
    3.924_038_386_682_833E-2,
    3.795_443_766_594_162E-2,
    3.658_380_028_813_909_6E-2,
    3.513_153_016_547_255E-2,
    3.360_086_788_611_223E-2,
    3.199_522_896_404_688_5E-2,
    3.031_819_621_886_852E-2,
    2.857_351_178_293_187E-2,
    2.676_506_875_425_000_2E-2,
    2.489_690_251_475_737_4E-2,
    2.297_318_173_532_665_6E-2,
    2.099_819_909_186_462_6E-2,
    1.897_636_172_277_132_6E-2,
    1.691_218_147_224_521_7E-2,
    1.481_026_500_273_396E-2,
    1.267_530_398_126_168_2E-2,
    1.051_206_598_770_575_5E-2,
    8.325_388_765_990_902E-3,
    6.120_192_018_447_937E-3,
    3.901_625_641_744_248E-3,
    1.677_653_744_007_238_5E-3,
];

const EVEN_W_34: &[f64] = &[
    4.584_938_738_725_097E-2,
    4.575_296_541_606_795E-2,
    4.556_032_425_064_828_6E-2,
    4.527_186_901_844_378E-2,
    4.488_820_634_542_666_6E-2,
    4.441_014_308_035_276E-2,
    4.383_868_459_795_605E-2,
    4.317_503_268_464_422_5E-2,
    4.242_058_301_114_25E-2,
    4.157_692_219_740_291_6E-2,
    4.064_582_447_595_408E-2,
    3.962_924_796_071_231E-2,
    3.852_933_052_910_672E-2,
    3.734_838_532_618_666_6E-2,
    3.608_889_590_017_987E-2,
    3.475_351_097_975_151E-2,
    3.334_503_890_398_069E-2,
    3.186_644_171_682_106E-2,
    3.032_082_893_855_398E-2,
    2.871_145_102_748_499_2E-2,
    2.704_169_254_590_396E-2,
    2.531_506_504_517_64E-2,
    2.353_519_968_587_633_5E-2,
    2.170_583_961_037_808E-2,
    1.983_083_208_795_549_7E-2,
    1.791_412_045_792_315_3E-2,
    1.595_973_590_961_38E-2,
    1.397_178_917_445_765_5E-2,
    1.195_446_231_976_944_3E-2,
    9.912_001_251_585_938E-3,
    7.848_711_393_177_167E-3,
    5.768_969_918_729_952E-3,
    3.677_366_595_011_730_5E-3,
    1.581_140_256_372_913E-3,
];

const EVEN_W_35: &[f64] = &[
    4.454_941_715_975_467E-2,
    4.446_096_841_724_637E-2,
    4.428_424_653_905_540_4E-2,
    4.401_960_239_018_346E-2,
    4.366_756_139_720_144E-2,
    4.322_882_250_506_87E-2,
    4.270_425_678_944_978E-2,
    4.209_490_572_728_441E-2,
    4.140_197_912_904_521E-2,
    4.062_685_273_678_961E-2,
    3.977_106_549_277_657E-2,
    3.883_631_648_407_34E-2,
    3.782_446_156_922_282E-2,
    3.673_750_969_367_27E-2,
    3.557_761_890_129_238E-2,
    3.434_709_204_990_654E-2,
    3.304_837_223_937_242E-2,
    3.168_403_796_130_848E-2,
    3.025_679_798_015_423_7E-2,
    2.876_948_595_580_828E-2,
    2.722_505_481_866_441_6E-2,
    2.562_657_090_846_848_2E-2,
    2.397_720_788_910_029_4E-2,
    2.228_024_045_225_659_7E-2,
    2.053_903_782_432_645_4E-2,
    1.875_705_709_313_342E-2,
    1.693_783_637_630_293E-2,
    1.508_498_786_544_312_8E-2,
    1.320_219_081_467_674_7E-2,
    1.129_318_464_993_153_7E-2,
    9.361_762_769_699_028E-3,
    7.411_769_363_190_21E-3,
    5.447_111_874_217_219E-3,
    3.471_894_893_078_143_2E-3,
    1.492_721_288_844_515_8E-3,
];

const EVEN_W_36: &[f64] = &[
    4.332_111_216_548_653_6E-2,
    4.323_978_130_522_261_6E-2,
    4.307_727_227_491_37E-2,
    4.283_389_016_833_881_5E-2,
    4.251_009_191_005_772_3E-2,
    4.210_648_539_758_646E-2,
    4.162_382_836_013_86E-2,
    4.106_302_693_607_506E-2,
    4.042_513_397_173_397E-2,
    3.971_134_704_483_49E-2,
    3.892_300_621_616_966E-2,
    3.806_159_151_380_216_6E-2,
    3.712_872_015_450_29E-2,
    3.612_614_350_763_799_4E-2,
    3.505_574_380_721_787E-2,
    3.391_953_061_828_606E-2,
    3.271_963_706_429_384_4E-2,
    3.145_831_582_256_181E-2,
    3.013_793_489_537_548E-2,
    2.876_097_316_470_176E-2,
    2.733_001_573_895_093_4E-2,
    2.584_774_910_065_589E-2,
    2.431_695_606_441_916_5E-2,
    2.274_051_055_503_575_5E-2,
    2.112_137_221_644_055_2E-2,
    1.946_258_086_329_427_7E-2,
    1.776_725_078_920_065_5E-2,
    1.603_856_495_028_515_4E-2,
    1.427_976_905_455_419_4E-2,
    1.249_416_561_987_375_8E-2,
    1.068_510_816_535_189_8E-2,
    8.855_996_073_706_154E-3,
    7.010_272_321_861_863E-3,
    5.151_436_018_790_887E-3,
    3.283_169_774_667_496E-3,
    1.411_516_393_973_434_2E-3,
];

const EVEN_W_37: &[f64] = &[
    4.215_870_660_994_342E-2,
    4.208_374_996_915_697_4E-2,
    4.193_396_995_777_702E-2,
    4.170_963_287_924_075E-2,
    4.141_113_759_675_351E-2,
    4.103_901_482_412_726_5E-2,
    4.059_392_618_219_473E-2,
    4.007_666_302_247_697E-2,
    3.948_814_502_019_647E-2,
    3.882_941_853_913_771E-2,
    3.810_165_477_126_324_6E-2,
    3.730_614_765_439_415_5E-2,
    3.644_431_157_165_857E-2,
    3.551_767_883_680_096E-2,
    3.452_789_696_982_646E-2,
    3.347_672_576_782_876_5E-2,
    3.236_603_417_621_7E-2,
    3.119_779_696_591_542_7E-2,
    2.997_409_122_246_118_6E-2,
    2.869_709_265_326_987_6E-2,
    2.736_907_171_967_935_3E-2,
    2.599_238_960_072_378_8E-2,
    2.456_949_399_594_276_7E-2,
    2.310_291_477_491_582_5E-2,
    2.159_525_948_167_589E-2,
    2.004_920_870_279_494_3E-2,
    1.846_751_130_897_988E-2,
    1.685_297_958_202_485_2E-2,
    1.520_848_424_340_123_4E-2,
    1.353_694_941_178_749_4E-2,
    1.184_134_754_749_966_7E-2,
    1.012_469_453_828_730_5E-2,
    8.390_045_433_971_398E-3,
    6.640_492_909_114_358E-3,
    4.879_179_758_594_145E-3,
    3.109_420_149_896_754_6E-3,
    1.336_761_650_069_883_5E-3,
];

const EVEN_W_38: &[f64] = &[
    4.105_703_691_622_942_4E-2,
    4.098_780_546_479_395E-2,
    4.084_945_930_182_849E-2,
    4.064_223_171_029_474E-2,
    4.036_647_212_284_402E-2,
    4.002_264_553_259_682E-2,
    3.961_133_170_906_206E-2,
    3.913_322_422_051_844E-2,
    3.858_912_926_450_673_6E-2,
    3.797_996_430_840_528_5E-2,
    3.730_675_654_238_161E-2,
    3.657_064_114_732_961_5E-2,
    3.577_285_938_071_395E-2,
    3.491_475_648_355_077E-2,
    3.399_777_941_205_638E-2,
    3.302_347_439_779_174E-2,
    3.199_348_434_042_16E-2,
    3.090_954_603_749_159_6E-2,
    2.977_348_725_590_504E-2,
    2.858_722_365_005_400_2E-2,
    2.735_275_553_182_752_2E-2,
    2.607_216_449_798_598_4E-2,
    2.474_760_992_065_967E-2,
    2.338_132_530_701_118_5E-2,
    2.197_561_453_441_625E-2,
    2.053_284_796_790_802E-2,
    1.905_545_846_719_058_2E-2,
    1.754_593_729_147_423E-2,
    1.600_682_991_224_857_2E-2,
    1.444_073_174_827_668E-2,
    1.285_028_384_751_014_4E-2,
    1.123_816_856_966_768_8E-2,
    9.607_105_414_713_754E-3,
    7.959_847_477_239_735E-3,
    6.299_180_497_328_445_5E-3,
    4.627_935_228_037_421E-3,
    2.949_102_953_642_474_8E-3,
    1.267_791_634_085_359_6E-3,
];

const EVEN_W_39: &[f64] = &[
    4.001_146_511_842_048_5E-2,
    3.994_739_036_908_802E-2,
    3.981_934_348_036_409E-2,
    3.962_752_950_781_054_5E-2,
    3.937_225_562_423_312_5E-2,
    3.905_393_062_777_341E-2,
    3.867_306_428_725_767_6E-2,
    3.823_026_652_585_099E-2,
    3.772_624_644_432_425E-2,
    3.716_181_118_549_838_3E-2,
    3.653_786_464_168_47E-2,
    3.585_540_600_719_17E-2,
    3.511_552_817_821_719E-2,
    3.431_941_600_268_909E-2,
    3.346_834_438_285_898E-2,
    3.256_367_623_368_905E-2,
    3.160_686_030_030_479_5E-2,
    3.059_942_883_801_304_6E-2,
    2.954_299_515_860_694_6E-2,
    2.843_925_104_689_751_6E-2,
    2.728_996_405_162_436_4E-2,
    2.609_697_465_510_883_4E-2,
    2.486_219_332_622_245E-2,
    2.358_759_746_145_747E-2,
    2.227_522_821_911_388_8E-2,
    2.092_718_725_187_772_7E-2,
    1.954_563_334_339_992_3E-2,
    1.813_277_895_498_232_8E-2,
    1.669_088_668_934_389_3E-2,
    1.522_226_568_017_845_2E-2,
    1.372_926_792_014_414_8E-2,
    1.221_428_454_978_988_6E-2,
    1.067_974_215_748_111_4E-2,
    9.128_099_227_255_087E-3,
    7.561_843_189_439_719E-3,
    5.983_489_944_440_408E-3,
    4.395_596_039_460_346E-3,
    2.800_868_811_838_630_4E-3,
    1.204_024_566_067_353_3E-3,
];

const EVEN_W_40: &[f64] = &[
    3.901_781_365_630_665E-2,
    3.895_839_596_276_953E-2,
    3.883_965_105_905_197E-2,
    3.866_175_977_407_646_7E-2,
    3.842_499_300_695_942_4E-2,
    3.812_971_131_447_763_5E-2,
    3.777_636_436_200_14E-2,
    3.736_549_023_873_049E-2,
    3.689_771_463_827_601E-2,
    3.637_374_990_583_598E-2,
    3.579_439_395_341_605_5E-2,
    3.516_052_904_474_759E-2,
    3.447_312_045_175_393E-2,
    3.373_321_498_461_152E-2,
    3.294_193_939_764_54E-2,
    3.210_049_867_348_777E-2,
    3.121_017_418_811_47E-2,
    3.027_232_175_955_798E-2,
    2.928_836_958_326_785E-2,
    2.825_981_605_727_686_4E-2,
    2.718_822_750_048_638E-2,
    2.607_523_576_756_511_8E-2,
    2.492_253_576_411_549_2E-2,
    2.373_188_286_593_01E-2,
    2.250_509_024_633_246_3E-2,
    2.124_402_611_578_200_5E-2,
    1.995_061_087_814_2E-2,
    1.862_681_420_829_903_3E-2,
    1.727_465_205_626_930_7E-2,
    1.589_618_358_372_568_7E-2,
    1.449_350_804_050_907_6E-2,
    1.306_876_159_240_134E-2,
    1.162_411_412_079_782_6E-2,
    1.016_176_604_110_306_5E-2,
    8.683_945_269_260_859E-3,
    7.192_904_768_117_313E-3,
    5.690_922_451_403_199E-3,
    4.180_313_124_694_896E-3,
    2.663_533_589_512_681_8E-3,
    1.144_950_003_186_941_4E-3,
];

const EVEN_W_41: &[f64] = &[
    3.807_230_964_014_187E-2,
    3.801_710_843_143_527E-2,
    3.790_678_605_050_578_5E-2,
    3.774_150_245_427_587E-2,
    3.752_149_728_818_502E-2,
    3.724_708_953_872_766_4E-2,
    3.691_867_707_095_445_5E-2,
    3.653_673_605_160_765_6E-2,
    3.610_182_025_872_702_6E-2,
    3.561_456_027_872_747_5E-2,
    3.507_566_259_211_269E-2,
    3.448_590_854_915_071E-2,
    3.384_615_323_699_685_7E-2,
    3.315_732_423_990_721_4E-2,
    3.242_042_029_434_060_6E-2,
    3.163_650_984_090_024_5E-2,
    3.080_672_947_521_563E-2,
    2.993_228_230_001_272_4E-2,
    2.901_443_618_076_440_5E-2,
    2.805_452_190_745_423E-2,
    2.705_393_126_512_477_3E-2,
    2.601_411_501_601_702_5E-2,
    2.493_658_079_624_075_4E-2,
    2.382_289_093_004_782_6E-2,
    2.267_466_016_491_410_2E-2,
    2.149_355_333_077_484_4E-2,
    2.028_128_292_691_216E-2,
    1.903_960_664_017_892_4E-2,
    1.777_032_479_849_840_7E-2,
    1.647_527_776_398_371E-2,
    1.515_634_327_076_256_3E-2,
    1.381_543_371_412_646E-2,
    1.245_449_340_114_210_4E-2,
    1.107_549_578_175_989_6E-2,
    9.680_440_704_371_074E-3,
    8.271_351_818_383_685E-3,
    6.850_274_534_183_526E-3,
    5.419_276_232_446_765E-3,
    3.980_457_937_856_075E-3,
    2.536_054_696_856_106E-3,
    1.090_118_595_275_831E-3,
];

const EVEN_W_42: &[f64] = &[
    3.717_153_701_903_407E-2,
    3.712_016_261_260_209E-2,
    3.701_748_480_379_452E-2,
    3.686_364_550_259_031E-2,
    3.665_885_732_875_908E-2,
    3.640_340_331_800_212_5E-2,
    3.609_763_653_077_257E-2,
    3.574_197_956_431_531E-2,
    3.533_692_396_860_127_5E-2,
    3.488_302_956_696_330_6E-2,
    3.438_092_368_237_27E-2,
    3.383_130_027_042_598E-2,
    3.323_491_896_024_044_5E-2,
    3.259_260_400_458_425_4E-2,
    3.190_524_314_069_273E-2,
    3.117_378_636_334_566E-2,
    3.039_924_461_190_247E-2,
    2.958_268_837_311_084_4E-2,
    2.872_524_620_162_180_2E-2,
    2.782_810_316_025_840_7E-2,
    2.689_249_918_219_764E-2,
    2.591_972_735_733_464_8E-2,
    2.491_113_214_520_643E-2,
    2.386_810_751_695_824E-2,
    2.279_209_502_894_213E-2,
    2.168_458_183_064_482E-2,
    2.054_709_860_975_628E-2,
    1.938_121_747_731_881E-2,
    1.818_854_979_605_655E-2,
    1.697_074_395_521_161E-2,
    1.572_948_309_558_36E-2,
    1.446_648_278_916_118_7E-2,
    1.318_348_867_918_234_6E-2,
    1.188_227_408_980_122_4E-2,
    1.056_463_762_300_824_6E-2,
    9.232_400_784_190_247E-3,
    7.887_405_752_648_147E-3,
    6.531_513_687_713_654E-3,
    5.166_605_182_746_808_5E-3,
    3.794_591_650_452_35E-3,
    2.417_511_265_443_123E-3,
    1.039_133_516_451_972E-3,
];

const EVEN_W_43: &[f64] = &[
    3.631_239_537_581_333_6E-2,
    3.626_450_208_420_238_5E-2,
    3.616_877_866_860_064E-2,
    3.602_535_138_093_526E-2,
    3.583_440_939_092_405_5E-2,
    3.559_620_453_657_55E-2,
    3.531_105_099_203_421E-2,
    3.497_932_485_321_01E-2,
    3.460_146_364_173_769E-2,
    3.417_796_572_791_99E-2,
    3.370_938_967_341_756E-2,
    3.319_635_349_455_16E-2,
    3.263_953_384_718_992E-2,
    3.203_966_513_429_401_5E-2,
    3.139_753_853_730_286_5E-2,
    3.071_400_097_263_205_3E-2,
    2.998_995_397_466_493_2E-2,
    2.922_635_250_670_994_5E-2,
    2.842_420_370_149_349_4E-2,
    2.758_456_553_285_124_8E-2,
    2.670_854_542_037_221E-2,
    2.579_729_876_883_953_7E-2,
    2.485_202_744_439_983_5E-2,
    2.387_397_818_947_900_6E-2,
    2.286_444_097_854_800_6E-2,
    2.182_474_731_692_763E-2,
    2.075_626_848_490_914_2E-2,
    1.966_041_372_956_218E-2,
    1.853_862_840_670_985_8E-2,
    1.739_239_207_569_054_4E-2,
    1.622_321_654_972_902E-2,
    1.503_264_390_508_137_8E-2,
    1.382_224_445_276_667E-2,
    1.259_361_467_806_969_7E-2,
    1.134_837_515_617_770_4E-2,
    1.008_816_846_038_610_6E-2,
    8.814_657_101_954_816E-3,
    7.529_521_612_194_562E-3,
    6.234_459_139_140_123E-3,
    4.931_184_096_960_104E-3,
    3.621_439_249_610_901_6E-3,
    2.307_087_488_809_903E-3,
    9.916_432_666_203_635E-4,
];

const EVEN_W_44: &[f64] = &[
    3.549_206_430_171_454_6E-2,
    3.544_734_460_447_077E-2,
    3.535_796_155_642_384_5E-2,
    3.522_402_777_945_910_6E-2,
    3.504_571_202_900_426_4E-2,
    3.482_323_898_139_936E-2,
    3.455_688_895_080_709E-2,
    3.424_699_753_602_008E-2,
    3.389_395_519_761_026E-2,
    3.349_820_676_595_309_5E-2,
    3.306_025_088_074_67E-2,
    3.258_063_936_273_211E-2,
    3.205_997_651_840_639E-2,
    3.149_891_837_860_489E-2,
    3.089_817_187_191_219_7E-2,
    3.025_849_393_394_352_4E-2,
    2.958_069_055_361_934_8E-2,
    2.886_561_575_763_543E-2,
    2.811_417_053_440_861_2E-2,
    2.732_730_169_885_533E-2,
    2.650_600_069_943_473_8E-2,
    2.565_130_236_896_195E-2,
    2.476_428_362_076_873_3E-2,
    2.384_606_209_185_966E-2,
    2.289_779_473_478_114E-2,
    2.192_067_635_998_985_4E-2,
    2.091_593_813_057_662_4E-2,
    1.988_484_601_127_411_5E-2,
    1.882_869_917_375_545_2E-2,
    1.774_882_836_032_407_4E-2,
    1.664_659_420_821_765_6E-2,
    1.552_338_553_693_355_4E-2,
    1.438_061_760_129_994_4E-2,
    1.321_973_031_362_791_3E-2,
    1.204_218_643_958_121_2E-2,
    1.084_946_977_542_927_2E-2,
    9.643_083_322_053_204E-3,
    8.424_547_492_702_474E-3,
    7.195_398_459_796_372E-3,
    5.957_186_996_138_047E-3,
    4.711_479_279_598_662E-3,
    3.459_867_667_862_796_5E-3,
    2.204_058_563_143_696_7E-3,
    9.473_355_981_619_273E-4,
];

const EVEN_W_45: &[f64] = &[
    3.470_797_248_895_006E-2,
    3.466_615_208_568_824E-2,
    3.458_256_166_949_689E-2,
    3.445_730_196_032_425E-2,
    3.429_052_388_637_504E-2,
    3.408_242_840_225_4E-2,
    3.383_326_624_683_169E-2,
    3.354_333_764_112_428E-2,
    3.321_299_192_655_132E-2,
    3.284_262_714_400_751E-2,
    3.243_268_955_425_561_4E-2,
    3.198_367_310_021_857_4E-2,
    3.149_611_881_181_864E-2,
    3.097_061_415_408_092_2E-2,
    3.040_779_231_928_695_4E-2,
    2.980_833_146_403_127_6E-2,
    2.917_295_389_210_074_2E-2,
    2.850_242_518_416_141_7E-2,
    2.779_755_327_530_227_7E-2,
    2.705_918_748_154_796E-2,
    2.628_821_747_651_458_7E-2,
    2.548_557_221_944_323E-2,
    2.465_221_883_590_485_2E-2,
    2.378_916_145_252_872_2E-2,
    2.289_743_998_716_318_3E-2,
    2.197_812_889_593_413_5E-2,
    2.103_233_587_872_256_3E-2,
    2.006_120_054_463_959_5E-2,
    1.906_589_303_913_732E-2,
    1.804_761_263_446_023_5E-2,
    1.700_758_628_522_267_7E-2,
    1.594_706_715_100_664E-2,
    1.486_733_308_804_332_4E-2,
    1.376_968_511_233_709_3E-2,
    1.265_544_583_716_813E-2,
    1.152_595_788_914_805_9E-2,
    1.038_258_230_989_321_5E-2,
    9.226_696_957_741_991E-3,
    8.059_694_944_620_015E-3,
    6.882_983_208_463_284_5E-3,
    5.697_981_560_747_353E-3,
    4.506_123_613_674_978E-3,
    3.308_867_243_336_018E-3,
    2.107_778_774_526_33E-3,
    9.059_323_712_148_331E-4,
];

const EVEN_W_46: &[f64] = &[
    3.395_777_082_810_235E-2,
    3.391_860_442_372_255E-2,
    3.384_031_678_893_36E-2,
    3.372_299_821_957_387E-2,
    3.356_678_402_920_367_6E-2,
    3.337_185_439_303_681E-2,
    3.313_843_414_012_938E-2,
    3.286_679_249_406_566E-2,
    3.255_724_276_244_004E-2,
    3.221_014_197_549_333E-2,
    3.182_589_047_432_008_6E-2,
    3.140_493_144_912_218E-2,
    3.094_775_042_804_103_3E-2,
    3.045_487_471_715_832_2E-2,
    2.992_687_279_231_107_5E-2,
    2.936_435_364_342_281_4E-2,
    2.876_796_607_210_717_7E-2,
    2.813_839_794_335_440_4E-2,
    2.747_637_539_216_417_3E-2,
    2.678_266_198_604_032E-2,
    2.605_805_784_431_418E-2,
    2.530_339_871_531_322_7E-2,
    2.451_955_501_244_097_4E-2,
    2.370_743_081_028_191_3E-2,
    2.286_796_280_189_254_4E-2,
    2.200_211_921_848_586E-2,
    2.111_089_871_276_246_3E-2,
    2.019_532_920_718_748_4E-2,
    1.925_646_670_855_947_5E-2,
    1.829_539_409_026_755_7E-2,
    1.731_321_984_368_977_6E-2,
    1.631_107_680_025_596E-2,
    1.529_012_082_579_650_1E-2,
    1.425_152_948_895_392_5E-2,
    1.319_650_070_571_113_9E-2,
    1.212_625_136_263_771_1E-2,
    1.104_201_592_263_539_4E-2,
    9.945_045_019_726_081E-3,
    8.836_604_056_467_877E-3,
    7.717_971_837_373_569E-3,
    6.590_439_334_214_895E-3,
    5.455_308_908_000_871E-3,
    4.313_895_331_861_7E-3,
    3.167_535_943_396_097_8E-3,
    2.017_671_366_262_838_6E-3,
    8.671_851_787_671_422E-4,
];

const EVEN_W_47: &[f64] = &[
    3.323_930_891_781_532E-2,
    3.320_257_661_860_686_5E-2,
    3.312_915_261_254_696_7E-2,
    3.301_911_803_949_165E-2,
    3.287_259_449_712_959E-2,
    3.268_974_390_660_630_4E-2,
    3.247_076_833_358_768E-2,
    3.221_590_976_496_030_4E-2,
    3.192_544_984_141_561E-2,
    3.159_970_954_621_32E-2,
    3.123_904_885_046_741_7E-2,
    3.084_386_631_534_919E-2,
    3.041_459_865_164_271_3E-2,
    2.995_172_023_714_386_8E-2,
    2.945_574_259_243_367_5E-2,
    2.892_721_381_560_625_6E-2,
    2.836_671_797_657_610_8E-2,
    2.777_487_447_163_422E-2,
    2.715_233_733_896_656_5E-2,
    2.649_979_453_589_17E-2,
    2.581_796_717_861_673E-2,
    2.510_760_874_535_240_5E-2,
    2.436_950_424_366_898_8E-2,
    2.360_446_934_301_438_4E-2,
    2.281_334_947_335_523_7E-2,
    2.199_701_889_094_008E-2,
    2.115_637_971_222_139E-2,
    2.029_236_091_701_113_3E-2,
    1.940_591_732_198_200_5E-2,
    1.849_802_852_566_591E-2,
    1.756_969_782_614_325_3E-2,
    1.662_195_111_266_549_8E-2,
    1.565_583_573_251_556E-2,
    1.467_241_933_449_946_4E-2,
    1.367_278_869_060_687_9E-2,
    1.265_804_849_763_899_4E-2,
    1.162_932_016_112_241_4E-2,
    1.058_774_056_495_412_2E-2,
    9.534_460_832_865_159E-3,
    8.470_645_094_534_636E-3,
    7.397_469_288_142_357E-3,
    6.316_120_091_036_448E-3,
    5.227_794_289_507_768E-3,
    4.133_699_875_407_777E-3,
    3.035_065_891_038_628E-3,
    1.933_219_888_725_419E-3,
    8.308_716_126_821_624E-4,
];

const EVEN_W_48: &[f64] = &[
    3.255_061_449_236_317E-2,
    3.251_611_871_386_883_6E-2,
    3.244_716_371_406_427E-2,
    3.234_382_256_857_593E-2,
    3.220_620_479_403_025E-2,
    3.203_445_623_199_266_4E-2,
    3.182_875_889_441_101E-2,
    3.158_933_077_072_717E-2,
    3.131_642_559_686_135_4E-2,
    3.101_033_258_631_383_6E-2,
    3.067_137_612_366_914_8E-2,
    3.029_991_542_082_759_5E-2,
    2.989_634_413_632_838_4E-2,
    2.946_108_995_816_790_5E-2,
    2.899_461_415_055_523_7E-2,
    2.849_741_106_508_538_5E-2,
    2.797_000_761_684_833_4E-2,
    2.741_296_272_602_924_3E-2,
    2.682_686_672_559_176E-2,
    2.621_234_073_567_241_3E-2,
    2.557_003_600_534_936E-2,
    2.490_063_322_248_361E-2,
    2.420_484_179_236_469_2E-2,
    2.348_339_908_592_622E-2,
    2.273_706_965_832_937_2E-2,
    2.196_664_443_874_435E-2,
    2.117_293_989_219_13E-2,
    2.035_679_715_433_332_3E-2,
    1.951_908_114_014_502E-2,
    1.866_067_962_741_146_6E-2,
    1.778_250_231_604_526E-2,
    1.688_547_986_424_517_4E-2,
    1.597_056_290_256_229_3E-2,
    1.503_872_102_699_493_7E-2,
    1.409_094_177_231_486E-2,
    1.312_822_956_696_157_3E-2,
    1.215_160_467_108_832E-2,
    1.116_210_209_983_849_9E-2,
    1.016_077_053_500_841_6E-2,
    9.148_671_230_783_386E-3,
    8.126_876_925_698_759E-3,
    7.096_470_791_153_865E-3,
    6.058_545_504_235_961E-3,
    5.014_202_742_927_518E-3,
    3.964_554_338_444_687E-3,
    2.910_731_817_934_946_5E-3,
    1.853_960_788_946_921_7E-3,
    7.967_920_655_520_124E-4,
];

const EVEN_W_49: &[f64] = &[
    3.188_987_535_287_647E-2,
    3.185_743_815_812_401E-2,
    3.179_259_676_252_863E-2,
    3.169_541_712_034_925_5E-2,
    3.156_599_807_910_805E-2,
    3.140_447_127_904_656E-2,
    3.121_100_101_922_626_5E-2,
    3.098_578_409_040_993_5E-2,
    3.072_904_957_489_367E-2,
    3.044_105_861_349_326E-2,
    3.012_210_413_992_189_7E-2,
    2.977_251_058_282_947_8E-2,
    2.939_263_353_580_649E-2,
    2.898_285_939_568_834_3E-2,
    2.854_360_496_952_788_5E-2,
    2.807_531_705_063_614E-2,
    2.757_847_196_412_239_3E-2,
    2.705_357_508_239_612_8E-2,
    2.650_116_031_112_364E-2,
    2.592_178_954_616_245E-2,
    2.531_605_210_202_609_8E-2,
    2.468_456_411_246_099_4E-2,
    2.402_796_790_374_55E-2,
    2.334_693_134_134_927_3E-2,
    2.264_214_715_061_843_2E-2,
    2.191_433_221_217_865E-2,
    2.116_422_683_277_485_7E-2,
    2.039_259_399_229_191_6E-2,
    1.960_021_856_772_633E-2,
    1.878_790_653_490_468_7E-2,
    1.795_648_414_877_063E-2,
    1.710_679_710_308_99E-2,
    1.623_970_967_045_369_4E-2,
    1.535_610_382_349_775_6E-2,
    1.445_687_833_830_440_1E-2,
    1.354_294_788_102_946_4E-2,
    1.261_524_207_892_195_3E-2,
    1.167_470_457_713_812_5E-2,
    1.072_229_208_322_431_8E-2,
    9.758_973_402_174_097E-3,
    8.785_728_467_392_263E-3,
    7.803_547_379_100_755E-3,
    6.813_429_479_165_216E-3,
    5.816_382_546_439_639E-3,
    4.813_422_398_586_771E-3,
    3.805_574_085_352_359_7E-3,
    2.793_881_135_722_131E-3,
    1.779_477_041_014_528_8E-3,
    7.647_669_822_743_135E-4,
];

const EVEN_W_50: &[f64] = &[
    3.125_542_345_386_335_4E-2,
    3.122_488_425_484_935_8E-2,
    3.116_383_569_620_990_7E-2,
    3.107_233_742_756_651_5E-2,
    3.095_047_885_049_098_7E-2,
    3.079_837_903_115_259E-2,
    3.061_618_658_398_044_7E-2,
    3.040_407_952_645_482E-2,
    3.016_226_510_516_914_5E-2,
    2.989_097_959_333_283_2E-2,
    2.959_048_805_991_264_2E-2,
    2.926_108_411_063_827_6E-2,
    2.890_308_960_112_52E-2,
    2.851_685_432_239_509_8E-2,
    2.810_275_565_910_117_3E-2,
    2.766_119_822_079_239E-2,
    2.719_261_344_657_688E-2,
    2.669_745_918_357_096_4E-2,
    2.617_621_923_954_567_6E-2,
    2.562_940_291_020_811_6E-2,
    2.505_754_448_157_959E-2,
    2.446_120_270_795_705_2E-2,
    2.384_096_026_596_820_7E-2,
    2.319_742_318_525_412_3E-2,
    2.253_122_025_633_627_3E-2,
    2.184_300_241_624_738_8E-2,
    2.113_344_211_252_764_2E-2,
    2.040_323_264_620_943_3E-2,
    1.965_308_749_443_530_5E-2,
    1.888_373_961_337_490_3E-2,
    1.809_594_072_212_811_6E-2,
    1.729_046_056_832_358_3E-2,
    1.646_808_617_614_521_3E-2,
    1.562_962_107_754_600_4E-2,
    1.477_588_452_744_130_2E-2,
    1.390_771_070_371_877_3E-2,
    1.302_594_789_297_154_2E-2,
    1.213_145_766_297_949_8E-2,
    1.122_511_402_318_597_7E-2,
    1.030_780_257_486_897E-2,
    9.380_419_653_694_457E-3,
    8.443_871_469_668_97E-3,
    7.499_073_255_464_711E-3,
    6.546_948_450_845_322E-3,
    5.588_428_003_865_515E-3,
    4.624_450_063_422_119_6E-3,
    3.655_961_201_326_375_4E-3,
    2.683_925_371_553_482_6E-3,
    1.709_392_653_518_105_2E-3,
    7.346_344_905_056_717E-4,
];

const ODD_W_1: &[f64] = &[5.555_555_555_555_556E-1];

const ODD_W_2: &[f64] = &[4.786_286_704_993_664_7E-1, 2.369_268_850_561_890_8E-1];

const ODD_W_3: &[f64] = &[
    3.818_300_505_051_189E-1,
    2.797_053_914_892_766_4E-1,
    1.294_849_661_688_697E-1,
];

const ODD_W_4: &[f64] = &[
    3.123_470_770_400_028_6E-1,
    2.606_106_964_029_354_4E-1,
    1.806_481_606_948_574E-1,
    8.127_438_836_157_441E-2,
];

const ODD_W_5: &[f64] = &[
    2.628_045_445_102_466_5E-1,
    2.331_937_645_919_904_8E-1,
    1.862_902_109_277_342_6E-1,
    1.255_803_694_649_046E-1,
    5.566_856_711_617_366E-2,
];

const ODD_W_6: &[f64] = &[
    2.262_831_802_628_972_3E-1,
    2.078_160_475_368_885E-1,
    1.781_459_807_619_457_4E-1,
    1.388_735_102_197_872_5E-1,
    9.212_149_983_772_845E-2,
    4.048_400_476_531_588E-2,
];

const ODD_W_7: &[f64] = &[
    1.984_314_853_271_115_8E-1,
    1.861_610_000_155_622E-1,
    1.662_692_058_169_939_2E-1,
    1.395_706_779_261_543_2E-1,
    1.071_592_204_671_719_4E-1,
    7.036_604_748_810_812E-2,
    3.075_324_199_611_727E-2,
];

const ODD_W_8: &[f64] = &[
    1.765_627_053_669_926_4E-1,
    1.680_041_021_564_500_4E-1,
    1.540_457_610_768_102_8E-1,
    1.351_363_684_685_254_8E-1,
    1.118_838_471_934_039_7E-1,
    8.503_614_831_717_918E-2,
    5.545_952_937_398_72E-2,
    2.414_830_286_854_793E-2,
];

const ODD_W_9: &[f64] = &[
    1.589_688_433_939_543_4E-1,
    1.527_660_420_658_596_7E-1,
    1.426_067_021_736_066E-1,
    1.287_539_625_393_362_1E-1,
    1.115_666_455_473_339_9E-1,
    9.149_002_162_245E-2,
    6.904_454_273_764_123E-2,
    4.481_422_676_569_96E-2,
    1.946_178_822_972_647_8E-2,
];

const ODD_W_10: &[f64] = &[
    1.445_244_039_899_700_5E-1,
    1.398_873_947_910_731_5E-1,
    1.322_689_386_333_374_7E-1,
    1.218_314_160_537_285_3E-1,
    1.087_972_991_671_483_8E-1,
    9.344_442_345_603_386E-2,
    7.610_011_362_837_93E-2,
    5.713_442_542_685_720_5E-2,
    3.695_378_977_085_249_4E-2,
    1.601_722_825_777_433_5E-2,
];

const ODD_W_11: &[f64] = &[
    1.324_620_394_046_966E-1,
    1.289_057_221_880_821_6E-1,
    1.230_490_843_067_295_3E-1,
    1.149_966_402_224_113_6E-1,
    1.048_920_914_645_414_1E-1,
    9.291_576_606_003_515E-2,
    7.928_141_177_671_895E-2,
    6.423_242_140_852_585E-2,
    4.803_767_173_108_467E-2,
    3.098_800_585_697_944_5E-2,
    1.341_185_948_714_177_1E-2,
];

const ODD_W_12: &[f64] = &[
    1.222_424_429_903_100_4E-1,
    1.194_557_635_357_847_7E-1,
    1.148_582_591_457_116_4E-1,
    1.085_196_244_742_636_5E-1,
    1.005_359_490_670_506_4E-1,
    9.102_826_198_296_365E-2,
    8.014_070_033_500_102E-2,
    6.803_833_381_235_691E-2,
    5.490_469_597_583_519_4E-2,
    4.093_915_670_130_631_6E-2,
    2.635_498_661_503_213_7E-2,
    1.139_379_850_102_628_8E-2,
];

const ODD_W_13: &[f64] = &[
    1.134_763_461_089_651_5E-1,
    1.112_524_883_568_451_9E-1,
    1.075_782_857_885_331_9E-1,
    1.025_016_378_177_458E-1,
    9.608_872_737_002_85E-2,
    8.842_315_854_375_694E-2,
    7.960_486_777_305_777E-2,
    6.974_882_376_624_56E-2,
    5.898_353_685_983_359_6E-2,
    4.744_941_252_061_506E-2,
    3.529_705_375_741_971E-2,
    2.268_623_159_618_062_3E-2,
    9.798_996_051_294_36E-3,
];

const ODD_W_14: &[f64] = &[
    1.058_761_550_973_209_4E-1,
    1.040_733_100_777_293_8E-1,
    1.010_912_737_599_149_6E-1,
    9.696_383_409_440_86E-2,
    9.173_775_713_925_876E-2,
    8.547_225_736_617_253E-2,
    7.823_832_713_576_379E-2,
    7.011_793_325_505_128E-2,
    6.120_309_065_707_913_6E-2,
    5.159_482_690_249_793E-2,
    4.140_206_251_868_283_6E-2,
    3.074_049_220_209_362_4E-2,
    1.973_208_505_612_270_7E-2,
    8.516_903_878_746_41E-3,
];

const ODD_W_15: &[f64] = &[
    9.922_501_122_667_231E-2,
    9.774_333_538_632_872E-2,
    9.529_024_291_231_951E-2,
    9.189_011_389_364_148E-2,
    8.757_674_060_847_788E-2,
    8.239_299_176_158_926E-2,
    7.639_038_659_877_662E-2,
    6.962_858_323_541_037E-2,
    6.217_478_656_102_843E-2,
    5.410_308_242_491_685_5E-2,
    4.549_370_752_720_110_4E-2,
    3.643_227_391_238_547E-2,
    2.700_901_918_497_942_3E-2,
    1.731_862_079_031_058_4E-2,
    7.470_831_579_248_775_5E-3,
];

const ODD_W_16: &[f64] = &[
    9.335_642_606_559_612E-2,
    9.212_398_664_331_685E-2,
    9.008_195_866_063_858E-2,
    8.724_828_761_884_433E-2,
    8.364_787_606_703_87E-2,
    7.931_236_479_488_674E-2,
    7.427_985_484_395_415E-2,
    6.859_457_281_865_672E-2,
    6.230_648_253_031_748E-2,
    5.547_084_663_166_356E-2,
    4.814_774_281_871_169_6E-2,
    4.040_154_133_166_959_4E-2,
    3.230_035_863_232_895_4E-2,
    2.391_554_810_174_948E-2,
    1.532_170_151_293_467_6E-2,
    6.606_227_847_587_378E-3,
];

const ODD_W_17: &[f64] = &[
    8.814_053_043_027_546E-2,
    8.710_444_699_718_353E-2,
    8.538_665_339_209_912E-2,
    8.300_059_372_885_658E-2,
    7.996_494_224_232_427E-2,
    7.630_345_715_544_205E-2,
    7.204_479_477_256_007E-2,
    6.722_228_526_908_69E-2,
    6.187_367_196_608_018_6E-2,
    5.604_081_621_237_013E-2,
    4.976_937_040_135_353E-2,
    4.310_842_232_617_021_6E-2,
    3.611_011_586_346_338E-2,
    2.882_926_010_889_425_4E-2,
    2.132_297_991_148_358_2E-2,
    1.365_082_834_836_149_3E-2,
    5.883_433_420_443_085E-3,
];

const ODD_W_18: &[f64] = &[
    8.347_457_362_586_279E-2,
    8.259_527_223_643_726E-2,
    8.113_662_450_846_502E-2,
    7.910_886_183_752_938E-2,
    7.652_620_757_052_923E-2,
    7.340_677_724_848_817E-2,
    6.977_245_155_570_035E-2,
    6.564_872_287_275_125E-2,
    6.106_451_652_322_599E-2,
    5.605_198_799_827_492E-2,
    5.064_629_765_482_460_4E-2,
    4.488_536_466_243_716_5E-2,
    3.880_960_250_193_454E-2,
    3.246_163_984_752_148_4E-2,
    2.588_603_699_055_893_5E-2,
    1.912_904_448_908_396_6E-2,
    1.223_878_010_030_755_7E-2,
    5.273_057_279_497_939E-3,
];

const ODD_W_19: &[f64] = &[
    7.927_622_256_836_847E-2,
    7.852_361_328_737_117E-2,
    7.727_455_254_468_202E-2,
    7.553_693_732_283_606E-2,
    7.332_175_341_426_862E-2,
    7.064_300_597_060_875E-2,
    6.751_763_096_623_127E-2,
    6.396_538_813_868_238E-2,
    6.000_873_608_859_615E-2,
    5.567_269_034_091_63E-2,
    5.098_466_529_212_94E-2,
    4.597_430_110_891_663_5E-2,
    4.067_327_684_793_384E-2,
    3.511_511_149_813_133E-2,
    2.933_495_598_390_338E-2,
    2.336_938_483_217_816_3E-2,
    1.725_622_909_372_491_8E-2,
    1.103_478_893_916_459_4E-2,
    4.752_944_691_635_101E-3,
];

const ODD_W_20: &[f64] = &[
    7.547_874_709_271_582E-2,
    7.482_962_317_622_155E-2,
    7.375_188_202_722_346E-2,
    7.225_169_686_102_308E-2,
    7.033_766_062_081_749E-2,
    6.802_073_676_087_676E-2,
    6.531_419_645_352_741E-2,
    6.223_354_258_096_632E-2,
    5.879_642_094_987_195E-2,
    5.502_251_924_257_874E-2,
    5.093_345_429_461_749E-2,
    4.655_264_836_901_434E-2,
    4.190_519_519_590_969E-2,
    3.701_771_670_350_799E-2,
    3.191_821_173_169_928E-2,
    2.663_589_920_711_044_4E-2,
    2.120_106_336_877_955_5E-2,
    1.564_493_840_781_859E-2,
    9.999_938_773_905_946E-3,
    4.306_140_358_164_887_5E-3,
];

const ODD_W_21: &[f64] = &[
    7.202_750_197_142_198E-2,
    7.146_373_425_251_414E-2,
    7.052_738_776_508_503E-2,
    6.922_334_419_365_668E-2,
    6.755_840_222_936_517E-2,
    6.554_124_212_632_28E-2,
    6.318_238_044_939_611E-2,
    6.049_411_524_999_129E-2,
    5.749_046_195_691_052E-2,
    5.418_708_031_888_179E-2,
    5.060_119_278_439_015E-2,
    4.675_149_475_434_658E-2,
    4.265_805_719_798_208E-2,
    3.834_222_219_413_266E-2,
    3.382_649_208_686_029E-2,
    2.913_441_326_149_849_4E-2,
    2.429_045_661_383_881_5E-2,
    1.931_990_142_368_39E-2,
    1.424_875_643_157_648_6E-2,
    9.103_996_637_401_404E-3,
    3.919_490_253_844_127_4E-3,
];

const ODD_W_22: &[f64] = &[
    6.887_731_697_766_132E-2,
    6.838_457_737_866_968E-2,
    6.756_595_416_360_754E-2,
    6.642_534_844_984_253E-2,
    6.496_819_575_072_343E-2,
    6.320_144_007_381_993E-2,
    6.113_350_083_106_652E-2,
    5.877_423_271_884_174E-2,
    5.613_487_875_978_647_6E-2,
    5.322_801_673_126_895E-2,
    5.006_749_923_795_203E-2,
    4.666_838_771_837_336_6E-2,
    4.304_688_070_916_497E-2,
    3.922_023_672_930_245E-2,
    3.520_669_220_160_902E-2,
    3.102_537_493_451_546_6E-2,
    2.669_621_396_757_766_4E-2,
    2.223_984_755_057_873_2E-2,
    1.767_753_525_793_759E-2,
    1.303_110_499_158_278_5E-2,
    8.323_189_296_218_24E-3,
    3.582_663_155_283_559E-3,
];

const ODD_W_23: &[f64] = &[
    6.599_053_358_881_048E-2,
    6.555_737_776_654_974E-2,
    6.483_755_623_894_573E-2,
    6.383_421_660_571_703E-2,
    6.255_174_622_092_166E-2,
    6.099_575_300_873_965E-2,
    5.917_304_094_233_888E-2,
    5.709_158_029_323_154E-2,
    5.476_047_278_153_023E-2,
    5.218_991_178_005_714E-2,
    4.939_113_774_736_117E-2,
    4.637_638_908_650_591E-2,
    4.315_884_864_847_954E-2,
    3.975_258_612_253_100_6E-2,
    3.617_249_658_417_495E-2,
    3.243_423_551_518_475_5E-2,
    2.855_415_070_064_338_7E-2,
    2.454_921_165_965_882E-2,
    2.043_693_814_766_842_8E-2,
    1.623_533_314_643_306E-2,
    1.196_284_846_431_232_1E-2,
    7.638_616_295_848_833E-3,
    3.287_453_842_528_015E-3,
];

const ODD_W_24: &[f64] = &[
    6.333_550_929_649_175E-2,
    6.295_270_746_519_57E-2,
    6.231_641_732_005_726_4E-2,
    6.142_920_097_919_294E-2,
    6.029_463_095_315_202E-2,
    5.891_727_576_002_727E-2,
    5.730_268_153_018_748E-2,
    5.545_734_967_480_359E-2,
    5.338_871_070_825_897E-2,
    5.110_509_433_014_459E-2,
    4.861_569_588_782_824E-2,
    4.593_053_935_559_585E-2,
    4.306_043_698_125_959_5E-2,
    4.001_694_576_637_302E-2,
    3.681_232_096_300_069E-2,
    3.345_946_679_162_218E-2,
    2.997_188_462_058_382_5E-2,
    2.636_361_892_706_601_6E-2,
    2.264_920_158_744_667_5E-2,
    1.884_359_585_308_945_8E-2,
    1.496_214_493_562_465E-2,
    1.102_055_103_159_358E-2,
    7.035_099_590_086_451_4E-3,
    3.027_278_988_922_905E-3,
];

const ODD_W_25: &[f64] = &[
    6.088_546_484_485_634_5E-2,
    6.054_550_693_473_779E-2,
    5.998_031_577_750_325_6E-2,
    5.919_199_392_296_154_6E-2,
    5.818_347_398_259_214E-2,
    5.695_850_772_025_866_4E-2,
    5.552_165_209_573_869E-2,
    5.387_825_231_304_556E-2,
    5.203_442_193_669_708_5E-2,
    4.999_702_015_005_741E-2,
    4.777_362_624_062_310_4E-2,
    4.537_251_140_765_007E-2,
    4.280_260_799_788_008_4E-2,
    4.007_347_628_549_646E-2,
    3.719_526_892_326_029E-2,
    3.417_869_320_418_833_6E-2,
    3.103_497_129_016_001E-2,
    2.777_579_859_416_247_7E-2,
    2.441_330_057_378_143_4E-2,
    2.095_998_840_170_321E-2,
    1.742_871_472_340_105_2E-2,
    1.383_263_400_647_782_2E-2,
    1.018_519_129_782_173E-2,
    6.500_337_783_252_6E-3,
    2.796_807_171_089_895_4E-3,
];

const ODD_W_26: &[f64] = &[
    5.861_758_623_272_026_6E-2,
    5.831_431_136_225_601E-2,
    5.781_001_499_171_32E-2,
    5.710_643_553_626_719_4E-2,
    5.620_599_838_173_971E-2,
    5.511_180_752_393_36E-2,
    5.382_763_486_873_103E-2,
    5.235_790_722_987_272E-2,
    5.070_769_106_929_272E-2,
    4.888_267_503_269_914E-2,
    4.688_915_034_075_031_4E-2,
    4.473_398_910_367_281E-2,
    4.242_462_063_452_001_6E-2,
    3.996_900_584_354_038_5E-2,
    3.737_560_980_348_291_6E-2,
    3.465_337_258_353_424E-2,
    3.181_167_845_901_932_6E-2,
    2.886_032_361_782_373_7E-2,
    2.580_948_251_075_751_8E-2,
    2.266_967_305_707_020_7E-2,
    1.945_172_110_763_689_4E-2,
    1.616_672_525_668_746_3E-2,
    1.282_602_614_424_037_9E-2,
    9.441_202_284_940_345E-3,
    6.024_276_226_948_674E-3,
    2.591_683_720_567_032E-3,
];

const ODD_W_27: &[f64] = &[
    5.651_231_824_977_2E-2,
    5.624_063_407_108_436_5E-2,
    5.578_879_419_528_409E-2,
    5.515_824_600_250_869E-2,
    5.435_100_932_991_110_4E-2,
    5.336_967_000_160_547_4E-2,
    5.221_737_154_563_209E-2,
    5.089_780_512_449_398E-2,
    4.941_519_771_155_174E-2,
    4.777_429_855_120_069_6E-2,
    4.598_036_394_628_384E-2,
    4.403_914_042_160_659E-2,
    4.195_684_631_771_876E-2,
    3.974_015_187_433_718E-2,
    3.739_615_786_796_554_6E-2,
    3.493_237_287_358_988_4E-2,
    3.235_668_922_618_583_5E-2,
    2.967_735_776_516_104E-2,
    2.690_296_145_639_627E-2,
    2.404_238_800_972_562E-2,
    2.110_480_166_801_645_4E-2,
    1.809_961_452_072_906_4E-2,
    1.503_645_833_351_178_8E-2,
    1.192_516_071_984_861_2E-2,
    8.775_746_107_058_528E-3,
    5.598_632_266_560_767_5E-3,
    2.408_323_619_979_789E-3,
];

const ODD_W_28: &[f64] = &[
    5.455_280_360_476_188E-2,
    5.430_847_145_249_864E-2,
    5.390_206_148_329_857_6E-2,
    5.333_478_658_481_916E-2,
    5.260_833_972_917_743E-2,
    5.172_488_892_051_782_5E-2,
    5.068_707_072_492_741E-2,
    4.949_798_240_201_968E-2,
    4.816_117_266_168_775E-2,
    4.668_063_107_364_15E-2,
    4.506_077_616_138_115_5E-2,
    4.330_644_221_621_52E-2,
    4.142_286_487_080_111E-2,
    3.941_566_547_548_011_6E-2,
    3.729_083_432_441_731_4E-2,
    3.505_471_278_231_262E-2,
    3.271_397_436_637_157E-2,
    3.027_560_484_269_4E-2,
    2.774_688_140_218_019_3E-2,
    2.513_535_099_091_812_3E-2,
    2.244_880_789_077_643_6E-2,
    1.969_527_069_948_852E-2,
    1.688_295_902_344_155E-2,
    1.402_027_079_075_355_6E-2,
    1.111_576_373_233_599E-2,
    8.178_160_067_821_233E-3,
    5.216_533_474_718_78E-3,
    2.243_753_872_250_663E-3,
];

const ODD_W_29: &[f64] = &[
    5.272_443_385_912_793E-2,
    5.250_390_264_782_874E-2,
    5.213_703_364_837_539_4E-2,
    5.162_484_939_089_148E-2,
    5.096_877_742_539_391_4E-2,
    5.017_064_634_299_69E-2,
    4.923_268_067_936_198_4E-2,
    4.815_749_471_460_644E-2,
    4.694_808_518_696_201_6E-2,
    4.560_782_294_050_977E-2,
    4.414_044_353_029_738_4E-2,
    4.255_003_681_106_763_6E-2,
    4.084_103_553_868_671E-2,
    3.901_820_301_616_001E-2,
    3.708_661_981_887_092_4E-2,
    3.505_166_963_640_011E-2,
    3.291_902_427_104_527_5E-2,
    3.069_462_783_611_168_2E-2,
    2.838_468_020_053_48E-2,
    2.599_561_973_129_85E-2,
    2.353_410_539_371_336_4E-2,
    2.100_699_828_843_718_6E-2,
    1.842_134_275_361_003E-2,
    1.578_434_731_308_146_8E-2,
    1.310_336_630_634_519E-2,
    1.038_588_550_099_586_2E-2,
    7.639_529_453_487_575_6E-3,
    4.872_239_168_265_285E-3,
    2.095_492_284_541_223_5E-3,
];

const ODD_W_30: &[f64] = &[
    5.101_448_703_869_726_5E-2,
    5.081_476_366_881_834E-2,
    5.048_247_038_679_741E-2,
    5.001_847_410_817_825E-2,
    4.942_398_534_673_559E-2,
    4.870_055_505_641_153E-2,
    4.785_007_058_509_560_5E-2,
    4.687_475_075_080_907E-2,
    4.577_714_005_314_596E-2,
    4.456_010_203_508_349E-2,
    4.322_681_181_249_609_5E-2,
    4.178_074_779_088_849_4E-2,
    4.022_568_259_099_825E-2,
    3.856_567_320_700_817_6E-2,
    3.680_505_042_315_481_6E-2,
    3.494_840_751_653_335E-2,
    3.300_058_827_590_741E-2,
    3.096_667_436_839_739_6E-2,
    2.885_197_208_818_34E-2,
    2.666_199_852_415_089E-2,
    2.440_246_718_754_420_3E-2,
    2.207_927_314_831_904_5E-2,
    1.969_847_774_610_118E-2,
    1.726_629_298_761_374_3E-2,
    1.478_906_588_493_791_5E-2,
    1.227_326_350_781_210_4E-2,
    9.725_461_830_356_134E-3,
    7.152_354_991_749_09E-3,
    4.560_924_006_012_417E-3,
    1.961_453_361_670_283E-3,
];

const ODD_W_31: &[f64] = &[
    4.941_183_303_991_818E-2,
    4.923_038_042_374_756E-2,
    4.892_845_282_051_199E-2,
    4.850_678_909_788_385E-2,
    4.796_642_113_799_513E-2,
    4.730_867_131_226_891_6E-2,
    4.653_514_924_538_37E-2,
    4.564_774_787_629_261E-2,
    4.464_863_882_594_139_6E-2,
    4.354_026_708_302_759E-2,
    4.232_534_502_081_582E-2,
    4.100_684_575_966_64E-2,
    3.958_799_589_154_409_6E-2,
    3.807_226_758_434_955_5E-2,
    3.646_337_008_545_729E-2,
    3.476_524_064_535_587_6E-2,
    3.298_203_488_377_934E-2,
    3.111_811_662_221_982E-2,
    2.917_804_720_828_052_7E-2,
    2.716_657_435_909_793_4E-2,
    2.508_862_055_334_498_7E-2,
    2.294_927_100_488_993_2E-2,
    2.075_376_125_803_909E-2,
    1.850_746_446_016_127E-2,
    1.621_587_841_033_834E-2,
    1.388_461_261_611_561_1E-2,
    1.151_937_607_688_004_2E-2,
    9.125_968_676_326_656E-3,
    6.710_291_765_960_137E-3,
    4.278_508_346_863_762E-3,
    1.839_874_595_577_084_2E-3,
];

const ODD_W_32: &[f64] = &[
    4.790_669_250_049_586E-2,
    4.774_134_868_124_062E-2,
    4.746_619_823_288_550_4E-2,
    4.708_187_401_045_452E-2,
    4.658_925_997_223_349_6E-2,
    4.598_948_914_665_17E-2,
    4.528_394_102_630_023_4E-2,
    4.447_423_839_508_297E-2,
    4.356_224_359_580_048_6E-2,
    4.255_005_424_675_58E-2,
    4.143_999_841_724_029E-2,
    4.023_462_927_300_553_6E-2,
    3.893_671_920_405_119_4E-2,
    3.754_925_344_825_770_6E-2,
    3.607_542_322_556_528E-2,
    3.451_861_839_854_905_6E-2,
    3.288_241_967_636_857_5E-2,
    3.117_059_038_018_914_2E-2,
    2.938_706_778_931_066_8E-2,
    2.753_595_408_845_034_6E-2,
    2.562_150_693_803_775_7E-2,
    2.364_812_969_128_723_6E-2,
    2.162_036_128_493_406_4E-2,
    1.954_286_583_675_006E-2,
    1.742_042_199_767_024_7E-2,
    1.525_791_214_644_831E-2,
    1.306_031_163_999_484_7E-2,
    1.083_267_878_959_796_9E-2,
    8.580_148_266_881_46E-3,
    6.307_942_578_971_755E-3,
    4.021_524_172_003_736E-3,
    1.729_258_251_300_250_8E-3,
];

const ODD_W_33: &[f64] = &[
    4.649_043_816_026_463E-2,
    4.633_935_168_241_562E-2,
    4.608_790_448_976_158E-2,
    4.573_664_116_106_369E-2,
    4.528_632_245_466_953E-2,
    4.473_792_366_088_983E-2,
    4.409_263_248_975_102E-2,
    4.335_184_649_869_952E-2,
    4.251_717_006_583_049_4E-2,
    4.159_041_091_519_924_4E-2,
    4.057_357_620_174_452_4E-2,
    3.946_886_816_430_888E-2,
    3.827_867_935_617_948E-2,
    3.700_558_746_349_258_4E-2,
    3.565_234_972_274_501E-2,
    3.422_189_694_953_664_5E-2,
    3.271_732_719_153_120_5E-2,
    3.114_189_901_947_282_3E-2,
    2.949_902_447_094_567E-2,
    2.779_226_166_243_677E-2,
    2.602_530_708_621_324E-2,
    2.420_198_760_967_316_4E-2,
    2.232_625_219_645_207_8E-2,
    2.040_216_337_134_354E-2,
    1.843_388_845_680_457_2E-2,
    1.642_569_062_253_088E-2,
    1.438_191_982_720_055_1E-2,
    1.230_700_384_928_815E-2,
    1.020_544_003_410_244_1E-2,
    8.081_790_299_023_136E-3,
    5.940_693_177_582_235E-3,
    3.787_008_301_825_508_3E-3,
    1.628_325_035_240_012_9E-3,
];

const ODD_W_34: &[f64] = &[
    4.515_543_023_614_546E-2,
    4.501_700_814_039_98E-2,
    4.478_661_887_831_255_5E-2,
    4.446_473_312_204_713_6E-2,
    4.405_200_846_590_929E-2,
    4.354_928_808_292_674E-2,
    4.295_759_900_230_521E-2,
    4.227_815_001_128_051E-2,
    4.151_232_918_565_45E-2,
    4.066_170_105_406_160_4E-2,
    3.972_800_340_176_164E-2,
    3.871_314_372_049_251E-2,
    3.761_919_531_164_091E-2,
    3.644_839_305_070_051_6E-2,
    3.520_312_882_168_348_5E-2,
    3.388_594_663_083_229E-2,
    3.249_953_740_964_611E-2,
    3.104_673_351_789_054E-2,
    2.953_050_295_790_671_2E-2,
    2.795_394_331_218_770_5E-2,
    2.632_027_541_686_948_4E-2,
    2.463_283_678_454_245_7E-2,
    2.289_507_479_074_078_7E-2,
    2.111_053_963_987_189_6E-2,
    1.928_287_712_884_940_4E-2,
    1.741_582_123_196_983E-2,
    1.551_318_654_340_616_6E-2,
    1.357_886_064_907_567_2E-2,
    1.161_679_661_067_196_5E-2,
    9.631_006_150_415_575E-3,
    7.625_555_931_201_511E-3,
    5.604_579_927_870_595E-3,
    3.572_416_739_397_372_5E-3,
    1.535_976_952_792_084E-3,
];

const ODD_W_35: &[f64] = &[
    4.389_487_921_178_858_4E-2,
    4.376_774_491_340_214E-2,
    4.355_612_710_410_853_4E-2,
    4.326_043_426_324_127E-2,
    4.288_123_715_758_044E-2,
    4.241_926_773_962_459_4E-2,
    4.187_541_773_473_301E-2,
    4.125_073_691_986_603E-2,
    4.054_643_109_724_69E-2,
    3.976_385_976_685_758E-2,
    3.890_453_350_226_294_5E-2,
    3.797_011_103_483_116E-2,
    3.696_239_605_198_203E-2,
    3.588_333_371_564_891E-2,
    3.473_500_690_768_218_5E-2,
    3.351_963_220_945_403E-2,
    3.223_955_562_344_353E-2,
    3.089_724_804_509_072E-2,
    2.949_530_049_370_881_2E-2,
    2.803_641_911_174_149E-2,
    2.652_341_994_215_790_7E-2,
    2.495_922_349_431_387_4E-2,
    2.334_684_910_922_325E-2,
    2.168_940_913_598_537E-2,
    1.999_010_293_235_011_3E-2,
    1.825_221_070_467_867E-2,
    1.647_908_720_746_239_8E-2,
    1.467_415_533_461_152_9E-2,
    1.284_089_966_808_780_7E-2,
    1.098_286_015_429_855_2E-2,
    9.103_626_461_992_005E-3,
    7.206_835_281_831_493E-3,
    5.296_182_844_025_892_6E-3,
    3.375_555_496_730_676E-3,
    1.451_267_330_029_397_3E-3,
];

const ODD_W_36: &[f64] = &[
    4.270_273_086_485_722E-2,
    4.258_568_982_601_839E-2,
    4.239_085_899_223_159E-2,
    4.211_859_425_425_564E-2,
    4.176_939_294_869_285_6E-2,
    4.134_389_294_952_549E-2,
    4.084_287_150_293_886E-2,
    4.026_724_380_756_003_4E-2,
    3.961_806_134_270_614_4E-2,
    3.889_650_994_769_673_6E-2,
    3.810_390_765_573_98E-2,
    3.724_170_228_634_977E-2,
    3.631_146_880_069_778_5E-2,
    3.531_490_642_472_829E-2,
    3.425_383_554_530_221_6E-2,
    3.313_019_438_504_384E-2,
    3.194_603_546_197_670_5E-2,
    3.070_352_184_043_350_5E-2,
    2.940_492_318_011_656E-2,
    2.805_261_159_057_206E-2,
    2.664_905_729_872_748_4E-2,
    2.519_682_413_753_831_4E-2,
    2.369_856_486_421_897_6E-2,
    2.215_701_631_704_007_3E-2,
    2.057_499_442_036_117E-2,
    1.895_538_904_867_002_2E-2,
    1.730_115_876_248_908_3E-2,
    1.561_532_543_359_142_3E-2,
    1.390_096_878_831_465_1E-2,
    1.216_122_092_928_111_2E-2,
    1.039_926_099_500_053_2E-2,
    8.618_310_479_532_248E-3,
    6.821_631_349_174_792E-3,
    5.012_538_571_606_19E-3,
    3.194_524_377_289_034_5E-3,
    1.373_376_462_759_619_2E-3,
];

const ODD_W_37: &[f64] = &[
    4.157_356_944_178_127_6E-2,
    4.146_558_103_261_909E-2,
    4.128_580_808_246_718_6E-2,
    4.103_456_181_139_21E-2,
    4.071_227_717_293_733E-2,
    4.031_951_210_114_157_6E-2,
    3.985_694_654_465_635E-2,
    3.932_538_128_963_516E-2,
    3.872_573_657_343_257_6E-2,
    3.805_905_049_151_360_5E-2,
    3.732_647_720_033_209E-2,
    3.652_928_491_929_034E-2,
    3.566_885_373_524_045E-2,
    3.474_667_321_333_041E-2,
    3.376_433_981_833_409E-2,
    3.272_355_415_093_422E-2,
    3.162_611_800_374_965E-2,
    3.047_393_124_221_454E-2,
    2.926_898_851_572_598_5E-2,
    2.801_337_580_478_054E-2,
    2.670_926_681_012_085E-2,
    2.535_891_919_021_637_8E-2,
    2.396_467_065_371_696E-2,
    2.252_893_491_386_577_5E-2,
    2.105_419_751_228_284E-2,
    1.954_301_152_012_788_8E-2,
    1.799_799_312_564_505E-2,
    1.642_181_711_902_464E-2,
    1.481_721_228_981_446_9E-2,
    1.318_695_676_282_480_1E-2,
    1.153_387_332_830_449_6E-2,
    9.860_824_916_114_019E-3,
    8.170_710_707_327_826E-3,
    6.466_464_907_037_539E-3,
    4.751_069_185_015_274E-3,
    3.027_671_014_606_041E-3,
    1.301_591_717_375_856E-3,
];

const ODD_W_38: &[f64] = &[
    4.050_253_572_678_803E-2,
    4.040_269_003_221_775_4E-2,
    4.023_646_282_485_108_4E-2,
    4.000_412_721_559_124E-2,
    3.970_606_493_128_931E-2,
    3.934_276_568_757_015_5E-2,
    3.891_482_638_423_378E-2,
    3.842_295_012_455_452_4E-2,
    3.786_794_506_008_932E-2,
    3.725_072_306_289_372E-2,
    3.657_229_822_732_745E-2,
    3.583_378_520_391_196_4E-2,
    3.503_639_736_797_828E-2,
    3.418_144_482_611_568E-2,
    3.327_033_226_369_854E-2,
    3.230_455_663_703_097_5E-2,
    3.128_570_471_390_543E-2,
    3.021_545_046_662_3E-2,
    2.909_555_232_176_876E-2,
    2.792_785_027_127_697E-2,
    2.671_426_284_955_789_2E-2,
    2.545_678_398_169_440_3E-2,
    2.415_747_970_795_584_6E-2,
    2.281_848_479_012_952E-2,
    2.144_199_920_545_613_5E-2,
    2.003_028_453_431_617_7E-2,
    1.858_566_024_834_148_7E-2,
    1.711_049_990_653_110_5E-2,
    1.560_722_726_874_913_2E-2,
    1.407_831_234_002_700_4E-2,
    1.252_626_736_922_736_5E-2,
    1.095_364_285_391_135_4E-2,
    9.363_023_692_386_431E-3,
    7.757_025_950_083_071E-3,
    6.138_296_159_756_341_5E-3,
    4.509_523_600_205_835E-3,
    2.873_553_083_652_691_6E-3,
    1.235_291_177_139_409_6E-3,
];

const ODD_W_39: &[f64] = &[
    3.948_525_740_129_116E-2,
    3.939_275_600_474_300_6E-2,
    3.923_874_749_659_464_5E-2,
    3.902_347_234_287_98E-2,
    3.874_726_667_023_997E-2,
    3.841_056_174_110_418E-2,
    3.801_388_328_032_605E-2,
    3.755_785_065_432_977E-2,
    3.704_317_590_404_678_6E-2,
    3.647_066_263_315_342_6E-2,
    3.584_120_475_334_575_5E-2,
    3.515_578_508_861_113_4E-2,
    3.441_547_384_067_66E-2,
    3.362_142_691_803_093E-2,
    3.277_488_413_113_082E-2,
    3.187_716_725_661_117E-2,
    3.092_967_797_352_483_6E-2,
    2.993_389_567_483_836_4E-2,
    2.889_137_515_760_726_8E-2,
    2.780_374_419_544_706E-2,
    2.667_270_099_710_555_5E-2,
    2.550_001_155_512_877_2E-2,
    2.428_750_688_879_949_3E-2,
    2.303_708_018_571_902_5E-2,
    2.175_068_384_660_808E-2,
    2.043_032_643_814_086E-2,
    1.907_806_955_893_749E-2,
    1.769_602_462_431_041_7E-2,
    1.628_634_957_619_168_3E-2,
    1.485_124_552_635_006_8E-2,
    1.339_295_334_482_567_6E-2,
    1.191_375_021_511_699_8E-2,
    1.041_594_620_451_338_3E-2,
    8.901_880_982_652_486E-3,
    7.373_921_131_330_177E-3,
    5.834_459_868_763_466E-3,
    4.285_929_113_126_531_5E-3,
    2.730_907_065_754_856E-3,
    1.173_930_129_956_613E-3,
];

const ODD_W_40: &[f64] = &[
    3.851_778_959_688_47E-2,
    3.843_192_958_037_517_5E-2,
    3.828_897_129_558_352E-2,
    3.808_912_713_547_56E-2,
    3.783_269_400_830_056E-2,
    3.752_005_289_647_583_6E-2,
    3.715_166_829_056_371E-2,
    3.672_808_749_918_044E-2,
    3.624_993_983_586_341_5E-2,
    3.571_793_568_410_457E-2,
    3.513_286_544_193_938E-2,
    3.449_559_834_765_98E-2,
    3.380_708_118_839_624_6E-2,
    3.306_833_689_348_8E-2,
    3.228_046_301_473_269E-2,
    3.144_463_009_577_406_3E-2,
    3.056_207_993_305_266_2E-2,
    2.963_412_373_090_559_8E-2,
    2.866_214_015_356_067_7E-2,
    2.764_757_327_692_492_6E-2,
    2.659_193_044_321_992_2E-2,
    2.549_678_002_166_567_6E-2,
    2.436_374_907_856_309_8E-2,
    2.319_452_096_027_392E-2,
    2.199_083_279_275_163_4E-2,
    2.075_447_290_144_561E-2,
    1.948_727_815_560_191_7E-2,
    1.819_113_124_125_576E-2,
    1.686_795_786_763_514E-2,
    1.551_972_391_246_436_4E-2,
    1.414_843_251_323_606_5E-2,
    1.275_612_111_513_442_2E-2,
    1.134_485_849_541_625_6E-2,
    9.916_741_809_595_876E-3,
    8.473_893_785_345_566E-3,
    7.018_460_484_931_626E-3,
    5.552_611_370_256_279E-3,
    4.078_551_113_421_395E-3,
    2.598_622_299_928_953E-3,
    1.117_029_847_124_606_6E-3,
];

const ODD_W_41: &[f64] = &[
    3.759_656_394_395_518E-2,
    3.751_672_450_373_727_5E-2,
    3.738_378_433_575_740_4E-2,
    3.719_793_160_197_673E-2,
    3.695_942_935_618_497E-2,
    3.666_861_517_167_809E-2,
    3.632_590_066_346_228_6E-2,
    3.593_177_090_566_064_5E-2,
    3.548_678_374_494_710_5E-2,
    3.499_156_901_097_965_5E-2,
    3.444_682_762_495_051_4E-2,
    3.385_333_060_751_52E-2,
    3.321_191_798_750_501_6E-2,
    3.252_349_761_296_806_4E-2,
    3.178_904_386_622_215E-2,
    3.100_959_628_473_919_4E-2,
    3.018_625_808_981_441_7E-2,
    2.932_019_462_510_452_8E-2,
    2.841_263_170_724_764_3E-2,
    2.746_485_389_090_326_2E-2,
    2.647_820_265_067_376_4E-2,
    2.545_407_448_248_949_6E-2,
    2.439_391_892_715_856E-2,
    2.329_923_651_890_055E-2,
    2.217_157_666_180_362_4E-2,
    2.101_253_543_726_991_7E-2,
    1.982_375_334_565_493_8E-2,
    1.860_691_298_547_847_3E-2,
    1.736_373_667_382_462_2E-2,
    1.609_598_401_193_537E-2,
    1.480_544_940_071_787_7E-2,
    1.349_395_951_237_523_6E-2,
    1.216_337_072_779_861_3E-2,
    1.081_556_655_803_715_9E-2,
    9.452_455_092_479_7E-3,
    8.075_966_593_123_452E-3,
    6.688_051_635_243_685E-3,
    5.290_681_445_859_866E-3,
    3.885_859_435_353_202E-3,
    2.475_719_322_545_939_5E-3,
    1.064_168_219_666_567_8E-3,
];

const ODD_W_42: &[f64] = &[
    3.671_834_473_341_962E-2,
    3.664_397_593_378_570_4E-2,
    3.652_013_948_874_488_5E-2,
    3.634_700_257_169_52E-2,
    3.612_479_890_936_246E-2,
    3.585_382_846_628_081E-2,
    3.553_445_703_985_57E-2,
    3.516_711_576_655_579E-2,
    3.475_230_053_990_064E-2,
    3.429_057_134_102_985E-2,
    3.378_255_148_275_753E-2,
    3.322_892_676_813_277E-2,
    3.263_044_456_464_217_5E-2,
    3.198_791_279_530_468E-2,
    3.130_219_884_802_087E-2,
    3.057_422_840_464_999_6E-2,
    2.980_498_419_139_589E-2,
    2.899_550_465_219_015E-2,
    2.814_688_254_686_507_6E-2,
    2.726_026_347_601_116_4E-2,
    2.633_684_433_451_436E-2,
    2.537_787_169_586_609E-2,
    2.438_464_012_943_568_3E-2,
    2.335_849_045_298_989E-2,
    2.230_080_792_283_937_3E-2,
    2.121_302_036_408_938E-2,
    2.009_659_624_357_542E-2,
    1.895_304_268_818_284E-2,
    1.778_390_345_139_817_3E-2,
    1.659_075_683_115_467E-2,
    1.537_521_354_238_962_7E-2,
    1.413_891_454_840_083_2E-2,
    1.288_352_885_649_808_4E-2,
    1.161_075_128_670_389_7E-2,
    1.032_230_023_052_424_5E-2,
    9.019_915_439_993_632E-3,
    7.705_355_960_382_757E-3,
    6.380_398_587_897_515E-3,
    5.046_838_426_924_442_5E-3,
    3.706_500_125_759_316_7E-3,
    2.361_331_704_285_021E-3,
    1.014_971_908_967_743_7E-3,
];

const ODD_W_43: &[f64] = &[
    3.588_019_106_018_701_4E-2,
    3.581_080_434_383_374E-2,
    3.569_525_919_440_943E-2,
    3.553_370_454_416_059E-2,
    3.532_634_862_941_021E-2,
    3.507_345_872_215_153_5E-2,
    3.477_536_078_554_782_6E-2,
    3.443_243_905_378_224_5E-2,
    3.404_513_553_679_937E-2,
    3.361_394_945_057_693_4E-2,
    3.313_943_657_366_202E-2,
    3.262_220_853_080_144_4E-2,
    3.206_293_200_458_967E-2,
    3.146_232_787_615_076E-2,
    3.082_117_029_596_223_6E-2,
    3.014_028_568_601_882_4E-2,
    2.942_055_167_462_304_8E-2,
    2.866_289_596_517_621_7E-2,
    2.786_829_514_042_920_8E-2,
    2.703_777_340_373_580_6E-2,
    2.617_240_125_893_356E-2,
    2.527_329_413_055_707_4E-2,
    2.434_161_092_616_763_2E-2,
    2.337_855_254_266_017E-2,
    2.238_536_031_848_547_8E-2,
    2.136_331_443_380_253E-2,
    2.031_373_226_065_557E-2,
    1.923_796_666_535_656E-2,
    1.813_740_426_535_425_2E-2,
    1.701_346_364_300_153_3E-2,
    1.586_759_351_882_631_8E-2,
    1.470_127_088_723_984_3E-2,
    1.351_599_911_824_565_9E-2,
    1.231_330_603_004_803_7E-2,
    1.109_474_194_056_072E-2,
    9.861_877_713_701_827E-3,
    8.616_302_838_488_951E-3,
    7.359_623_648_818_063_5E-3,
    6.093_462_047_634_872E-3,
    4.819_456_238_501_885_5E-3,
    3.539_271_655_388_628_4E-3,
    2.254_690_753_752_853_3E-3,
    9.691_097_381_770_754E-4,
];

const ODD_W_44: &[f64] = &[
    3.507_942_401_790_202_5E-2,
    3.501_458_416_619_644E-2,
    3.490_660_650_856_071E-2,
    3.475_562_407_298_142E-2,
    3.456_182_286_913_781E-2,
    3.432_544_165_923_908_5E-2,
    3.404_677_166_387_109E-2,
    3.372_615_620_321_457E-2,
    3.336_399_027_407_732E-2,
    3.296_072_006_326_112E-2,
    3.251_684_239_786_320_5E-2,
    3.203_290_413_318_958_5E-2,
    3.150_950_147_903_429E-2,
    3.094_727_926_515_484_4E-2,
    3.034_693_014_684_912_8E-2,
    2.970_919_375_161_245_8E-2,
    2.903_485_576_792_681E-2,
    2.832_474_697_730_520_7E-2,
    2.757_974_223_078_458_3E-2,
    2.680_075_937_112_917_6E-2,
    2.598_875_810_207_383_6E-2,
    2.514_473_880_600_257E-2,
    2.426_974_131_152_234E-2,
    2.336_484_361_245_544_7E-2,
    2.243_116_053_983_637E-2,
    2.146_984_238_856_114E-2,
    2.048_207_350_040_027E-2,
    1.946_907_080_515_187_4E-2,
    1.843_208_232_178_411_6E-2,
    1.737_238_562_150_240_2E-2,
    1.629_128_625_479_238_4E-2,
    1.519_011_614_466_612_3E-2,
    1.407_023_194_864_448_3E-2,
    1.293_301_339_260_267_8E-2,
    1.177_986_158_087_489_2E-2,
    1.061_219_728_997_218_7E-2,
    9.431_459_260_797_89E-3,
    8.239_102_525_389_08E-3,
    7.036_596_870_989_114E-3,
    5.825_425_788_770_108E-3,
    4.607_087_343_463_241_5E-3,
    3.383_104_792_407_455_2E-3,
    2.155_112_582_219_114E-3,
    9.262_871_051_934_728E-4,
];

const ODD_W_45: &[f64] = &[
    3.431_359_817_623_14E-2,
    3.425_291_647_165_106E-2,
    3.415_185_977_541_012_5E-2,
    3.401_054_720_622_908E-2,
    3.382_914_533_369_793_5E-2,
    3.360_786_798_193_575_5E-2,
    3.334_697_597_754_984E-2,
    3.304_677_684_219_179E-2,
    3.270_762_443_007_278E-2,
    3.232_991_851_086_54E-2,
    3.191_410_429_848_369_5E-2,
    3.146_067_192_629_709E-2,
    3.097_015_586_939_654_4E-2,
    3.044_313_431_459_439_6E-2,
    2.988_022_847_890_037_6E-2,
    2.928_210_187_727_748E-2,
    2.864_945_954_054_102_4E-2,
    2.798_304_718_432_316_5E-2,
    2.728_365_033_008_298E-2,
    2.655_209_337_919_890_7E-2,
    2.578_923_864_123_601_5E-2,
    2.499_598_531_753_496E-2,
    2.417_326_844_132_288E-2,
    2.332_205_777_559_880_4E-2,
    2.244_335_667_009_737_5E-2,
    2.153_820_087_868_566_6E-2,
    2.060_765_733_859_846E-2,
    1.965_282_291_296_914_5E-2,
    1.867_482_309_816_812_7E-2,
    1.767_481_069_752_190_4E-2,
    1.665_396_446_306_124E-2,
    1.561_348_770_705_006E-2,
    1.455_460_688_520_869_6E-2,
    1.347_857_015_383_098E-2,
    1.238_664_590_355_674_3E-2,
    1.128_012_127_376_968_3E-2,
    1.016_030_065_441_547_7E-2,
    9.028_504_189_234_487E-3,
    7.886_066_314_628_902E-3,
    6.734_334_432_268_884_6E-3,
    5.574_668_047_479_789E-3,
    4.408_439_747_302_676_4E-3,
    3.237_045_507_972_105E-3,
    2.061_987_122_032_229_7E-3,
    8.862_412_406_694_142E-4,
];

const ODD_W_46: &[f64] = &[
    3.358_047_670_273_291E-2,
    3.352_360_509_236_69E-2,
    3.342_889_041_048_296E-2,
    3.329_643_957_561_579E-2,
    3.312_640_210_470_322_4E-2,
    3.291_896_994_430_459E-2,
    3.267_437_725_392_241_5E-2,
    3.239_290_014_167_229_4E-2,
    3.207_485_635_259_922E-2,
    3.172_060_490_999_231E-2,
    3.133_054_571_010_280_4E-2,
    3.090_511_907_072_293_6E-2,
    3.044_480_523_413_531E-2,
    2.995_012_382_499_392_3E-2,
    2.942_163_326_374_897_7E-2,
    2.885_993_013_627_770_7E-2,
    2.826_564_852_043_306_6E-2,
    2.763_945_927_027_072E-2,
    2.698_206_925_876_273_4E-2,
    2.629_422_057_985_327_3E-2,
    2.557_668_971_075_783_8E-2,
    2.483_028_663_545_258_3E-2,
    2.405_585_393_034_465_8E-2,
    2.325_426_581_315_775_3E-2,
    2.242_642_715_610_957_2E-2,
    2.157_327_246_449_981_8E-2,
    2.069_576_482_186_873_5E-2,
    1.979_489_480_292_793E-2,
    1.887_167_935_550_803_5E-2,
    1.792_716_065_281_371_4E-2,
    1.696_240_491_732_901E-2,
    1.597_850_121_778_211_8E-2,
    1.497_656_024_067_188_2E-2,
    1.395_771_303_800_797E-2,
    1.292_310_975_318_535_1E-2,
    1.187_391_832_744_712_6E-2,
    1.081_132_319_054_249E-2,
    9.736_523_941_887_688E-3,
    8.650_734_035_428_648E-3,
    7.555_179_500_769_821E-3,
    6.451_097_794_311_276E-3,
    5.339_737_098_169_215E-3,
    4.222_357_382_406_608E-3,
    3.100_240_403_099_316_7E-3,
    1.974_768_768_686_808_2E-3,
    8.487_371_680_679_111E-4,
];

const ODD_W_47: &[f64] = &[
    3.287_800_959_763_195E-2,
    3.282_463_569_369_918_6E-2,
    3.273_574_336_068_393E-2,
    3.261_142_878_598_215E-2,
    3.245_182_648_620_326E-2,
    3.225_710_916_161_441_5E-2,
    3.202_748_750_926_77E-2,
    3.176_320_999_501_228E-2,
    3.146_456_258_463_84E-2,
    3.113_186_843_444_399_8E-2,
    3.076_548_754_155_891_3E-2,
    3.036_581_635_440_506_8E-2,
    2.993_328_734_371_411_2E-2,
    2.946_836_853_456_688_2E-2,
    2.897_156_299_996_101_3E-2,
    2.844_340_831_645_486_2E-2,
    2.788_447_598_247_691_5E-2,
    2.729_537_079_993_022_2E-2,
    2.667_673_021_976_135_4E-2,
    2.602_922_365_220_227_2E-2,
    2.535_355_174_243_201_4E-2,
    2.465_044_561_244_262E-2,
    2.392_066_606_993_061E-2,
    2.316_500_278_507_139E-2,
    2.238_427_343_606_939_2E-2,
    2.157_932_282_441_14E-2,
    2.075_102_196_078_49E-2,
    1.990_026_712_265_721E-2,
    1.902_797_888_454_570_5E-2,
    1.813_510_112_204_514_6E-2,
    1.722_259_999_071_698_6E-2,
    1.629_146_288_099_104_4E-2,
    1.534_269_735_028_835_6E-2,
    1.437_733_003_365_908_1E-2,
    1.339_640_553_436_828_6E-2,
    1.240_098_529_611_606E-2,
    1.139_214_645_908_584_5E-2,
    1.037_098_070_311_609_7E-2,
    9.338_593_083_876_396E-3,
    8.296_100_874_530_99E-3,
    7.244_632_443_933_2E-3,
    6.185_326_261_033_324E-3,
    5.119_330_329_927_718E-3,
    4.047_803_316_371_759_5E-3,
    2.971_924_240_818_191E-3,
    1.892_968_377_922_935_9E-3,
    8.135_642_494_541_165E-4,
];

const ODD_W_48: &[f64] = &[
    3.220_431_459_661_350_6E-2,
    3.215_415_737_958_550_5E-2,
    3.207_061_987_527_28E-2,
    3.195_378_880_670_864E-2,
    3.180_378_546_007_149E-2,
    3.162_076_555_877_401_5E-2,
    3.140_491_910_180_172E-2,
    3.115_647_016_646_904_2E-2,
    3.087_567_667_579_765_5E-2,
    3.056_283_013_075_858_4E-2,
    3.021_825_530_765_601_5E-2,
    2.984_230_992_096_703E-2,
    2.943_538_425_198_732_2E-2,
    2.899_790_074_366_843_2E-2,
    2.853_031_356_206_718_6E-2,
    2.803_310_812_486_267_7E-2,
    2.750_680_059_743_034_3E-2,
    2.695_193_735_699_644E-2,
    2.636_909_442_542_935E-2,
    2.575_887_687_125_678_5E-2,
    2.512_191_818_153_004_8E-2,
    2.445_887_960_418_785E-2,
    2.377_044_946_160_306_7E-2,
    2.305_734_243_602_599_5E-2,
    2.232_029_882_766_713E-2,
    2.156_008_378_619_171_7E-2,
    2.077_748_651_642_657E-2,
    1.997_331_945_910_804_7E-2,
    1.914_841_744_752_813E-2,
    1.830_363_684_096_414E-2,
    1.743_985_463_580_780_3E-2,
    1.655_796_755_534_245_6E-2,
    1.565_889_111_915_692E-2,
    1.474_355_869_323_695E-2,
    1.381_292_052_185_304_3E-2,
    1.286_794_274_249_338_6E-2,
    1.190_960_638_533_075_7E-2,
    1.093_890_635_919_594_9E-2,
    9.956_850_427_084_045E-3,
    8.964_458_176_698E-3,
    7.962_759_997_865_495E-3,
    6.952_796_096_469_405E-3,
    5.935_615_630_788_223E-3,
    4.912_276_262_166_028E-3,
    3.883_845_329_489_294_3E-3,
    2.851_409_243_213_055_7E-3,
    1.816_146_398_210_039_6E-3,
    7.805_332_219_425_613E-4,
];

const ODD_W_49: &[f64] = &[
    3.155_766_036_791_123E-2,
    3.151_046_648_162_835E-2,
    3.143_186_227_722_155E-2,
    3.132_192_610_907_518E-2,
    3.118_076_756_395_816E-2,
    3.100_852_735_178_559_5E-2,
    3.080_537_716_535_628E-2,
    3.057_151_950_920_578E-2,
    3.030_718_749_774_580_6E-2,
    3.001_264_462_289_103_5E-2,
    2.968_818_449_140_51E-2,
    2.933_413_053_222_750_5E-2,
    2.895_083_567_407_331E-2,
    2.853_868_199_362_695E-2,
    2.809_808_033_468_091_2E-2,
    2.762_946_989_859_901E-2,
    2.713_331_780_651_255E-2,
    2.661_011_863_368_585_2E-2,
    2.606_039_391_651_548_3E-2,
    2.548_469_163_265_475_5E-2,
    2.488_358_565_478_194_7E-2,
    2.425_767_517_855_707_8E-2,
    2.360_758_412_533_789_4E-2,
    2.293_396_052_025_105_4E-2,
    2.223_747_584_623_937_3E-2,
    2.151_882_437_473_022_5E-2,
    2.077_872_247_359_421_2E-2,
    2.001_790_789_308_656_4E-2,
    1.923_713_903_048_718_6E-2,
    1.843_719_417_417_85E-2,
    1.761_887_072_792_438E-2,
    1.678_298_441_613_870_8E-2,
    1.593_036_847_096_085E-2,
    1.506_187_280_199_023_3E-2,
    1.417_836_314_957_944_5E-2,
    1.328_072_022_265_728_4E-2,
    1.236_983_882_217_516_2E-2,
    1.144_662_695_149_825_3E-2,
    1.051_200_491_552_474_5E-2,
    9.566_904_411_326_136E-3,
    8.612_267_615_478_888E-3,
    7.649_046_279_335_258E-3,
    6.678_200_860_575_098E-3,
    5.700_699_773_395_927E-3,
    4.717_519_037_520_83E-3,
    3.729_643_487_243_035E-3,
    2.738_075_873_626_878_3E-3,
    1.743_906_958_219_245E-3,
    7.494_736_467_374_053E-4,
];

const ODD_WEIGHTS: [&[f64]; 49] = [
    ODD_W_1, ODD_W_2, ODD_W_3, ODD_W_4, ODD_W_5, ODD_W_6, ODD_W_7, ODD_W_8, ODD_W_9, ODD_W_10,
    ODD_W_11, ODD_W_12, ODD_W_13, ODD_W_14, ODD_W_15, ODD_W_16, ODD_W_17, ODD_W_18, ODD_W_19,
    ODD_W_20, ODD_W_21, ODD_W_22, ODD_W_23, ODD_W_24, ODD_W_25, ODD_W_26, ODD_W_27, ODD_W_28,
    ODD_W_29, ODD_W_30, ODD_W_31, ODD_W_32, ODD_W_33, ODD_W_34, ODD_W_35, ODD_W_36, ODD_W_37,
    ODD_W_38, ODD_W_39, ODD_W_40, ODD_W_41, ODD_W_42, ODD_W_43, ODD_W_44, ODD_W_45, ODD_W_46,
    ODD_W_47, ODD_W_48, ODD_W_49,
];

const EVEN_WEIGHTS: [&[f64]; 50] = [
    EVEN_W_1, EVEN_W_2, EVEN_W_3, EVEN_W_4, EVEN_W_5, EVEN_W_6, EVEN_W_7, EVEN_W_8, EVEN_W_9,
    EVEN_W_10, EVEN_W_11, EVEN_W_12, EVEN_W_13, EVEN_W_14, EVEN_W_15, EVEN_W_16, EVEN_W_17,
    EVEN_W_18, EVEN_W_19, EVEN_W_20, EVEN_W_21, EVEN_W_22, EVEN_W_23, EVEN_W_24, EVEN_W_25,
    EVEN_W_26, EVEN_W_27, EVEN_W_28, EVEN_W_29, EVEN_W_30, EVEN_W_31, EVEN_W_32, EVEN_W_33,
    EVEN_W_34, EVEN_W_35, EVEN_W_36, EVEN_W_37, EVEN_W_38, EVEN_W_39, EVEN_W_40, EVEN_W_41,
    EVEN_W_42, EVEN_W_43, EVEN_W_44, EVEN_W_45, EVEN_W_46, EVEN_W_47, EVEN_W_48, EVEN_W_49,
    EVEN_W_50,
];

// CL is the factor in front of the direct product representation
const CL: [f64; 101] = [
    1.0E+00,
    1.0E+00,
    -5E-1,
    -1.5,
    3.75E-1,
    1.875,
    -3.125E-1,
    -2.187_5,
    2.734_375E-1,
    2.460_937_5,
    -2.460_937_5E-1,
    -2.707_031_25,
    2.255_859_375E-1,
    2.932_617_187_5,
    -2.094_726_562_5E-1,
    -3.142_089_843_75,
    1.963_806_152_343_75E-1,
    3.338_470_458_984_375,
    -1.854_705_810_546_875E-1,
    -3.523_941_040_039_062_5,
    1.761_970_520_019_531_3E-1,
    3.700_138_092_041_015_6,
    -1.681_880_950_927_734_4E-1,
    -3.868_326_187_133_789,
    1.611_802_577_972_412E-1,
    4.029_506_444_931_03,
    -1.549_810_171_127_319_3E-1,
    -4.184_487_462_043_762,
    1.494_459_807_872_772_2E-1,
    4.333_933_442_831_039,
    -1.444_644_480_943_679_8E-1,
    -4.478_397_890_925_407,
    1.399_499_340_914_189_8E-1,
    4.618_347_825_016_826,
    -1.358_337_595_593_184_2E-1,
    -4.754_181_584_576_145,
    1.320_605_995_715_595_8E-1,
    4.886_242_184_147_704,
    -1.285_853_206_354_659E-1,
    -5.014_827_504_783_17,
    1.253_706_876_195_792_6E-1,
    5.140_198_192_402_749_6,
    -1.223_856_712_476_845_1E-1,
    -5.262_583_863_650_434,
    1.196_041_787_193_280_5E-1,
    5.382_188_042_369_762,
    -1.170_040_878_776_035_2E-1,
    -5.499_192_130_247_366,
    1.145_665_027_134_867_8E-1,
    5.613_758_632_960_852,
    -1.122_751_726_592_170_5E-1,
    -5.726_033_805_620_069_5,
    1.101_160_347_234_628_7E-1,
    5.836_149_840_343_532,
    -1.080_768_488_952_506E-1,
    -5.944_226_689_238_783,
    1.061_469_051_649_782_7E-1,
    6.050_373_594_403_761,
    -1.043_167_861_104_096_8E-1,
    -6.154_690_380_514_171,
    1.025_781_730_085_695_1E-1,
    6.257_268_553_522_74,
    -1.009_236_863_471_409_8E-1,
    -6.358_192_239_869_881,
    9.934_675_374_796_689E-2,
    6.457_538_993_617_848,
    -9.784_149_990_330_074E-2,
    -6.555_380_493_521_149,
    9.640_265_431_648_748E-2,
    6.651_783_147_837_636,
    -9.502_547_354_053_767E-2,
    -6.746_808_621_378_174,
    9.370_567_529_691_909E-2,
    6.840_514_296_675_093,
    -9.243_938_238_750_125E-2,
    -6.932_953_679_062_594,
    9.122_307_472_450_782E-2,
    7.024_176_753_787_103,
    -9.005_354_812_547_567E-2,
    -7.114_230_301_912_578,
    8.892_787_877_390_723E-2,
    7.203_158_180_686_485_5,
    -8.784_339_244_739_617E-2,
    -7.291_001_573_133_881,
    8.679_763_777_540_335E-2,
    7.377_799_210_909_285,
    -8.578_836_291_754_982E-2,
    -7.463_587_573_826_834_5,
    8.481_349_515_712_312E-2,
    7.548_401_068_983_957,
    -8.387_112_298_871_065E-2,
    -7.632_272_191_972_668,
    8.295_948_034_752_901E-2,
    7.715_231_672_320_197,
    -8.207_693_268_425_742E-2,
    -7.797_308_605_004_455,
    8.122_196_463_546_306E-2,
    7.878_530_569_639_918,
    -8.039_316_907_795_835E-2,
    -7.958_923_738_717_876,
    7.958_923_738_717_877E-2,
];

/// Computes the $k^{th}$ pair of an $N$-point Gauss-Legendre rule.
/// * `l` - number of points in the given rule $l \geq 1$.
/// * `k` - index of the point to be returned $1 \leq k \leq l$.
///
/// Returns the $\theta$ coordinate, weight, and $x$ coordinate of the point.
///
/// # Discussion
///
/// $\theta$ values of the zeros are in $\[0,\pi\]$, and monotonically increasing.
///
pub fn glpair<U: Unsigned + PartialOrd + ToPrimitive + Copy>(n: U, k: U) -> (f64, f64, f64) {
    assert!(k <= n);
    assert!(zero::<U>() < k);

    if n.to_usize().unwrap() < 101 {
        glpair_tabulated(n, k)
    } else {
        glpairs(n, k)
    }
}

/// Computes the $k^{th}$ pair of an $N$-point Gauss-Legendre rule.
/// * `l` - number of points in the given rule $l \geq 1$.
/// * `k` - index of the point to be returned $1 \leq k \leq l$.
///
/// Returns the $\theta$ coordinate, weight, and $x$ coordinate of the point.
///
/// # Discussion
///
/// $\theta$ values of the zeros are in $\[0, \pi \]$, and monotonically increasing.
///
fn glpairs<U: Unsigned + ToPrimitive + PartialOrd + Copy>(n: U, k: U) -> (f64, f64, f64) {
    if n < one::<U>() {
        panic!("GLPAIRS - FATAL ERROR \n Illegal value of N");
    }

    if k < one::<U>() || n < k {
        panic!("GLPAIRS - FATAL ERROR \n Illegal value of K");
    }

    let kcopy = if n < k + k - one::<U>() {
        n - k + one()
    } else {
        k
    };

    // get the bessel zero
    let w = 1.0 / (n.to_f64().unwrap() + 0.5);
    let nu = bessel_j0_zeros::<U>(kcopy);
    let mut theta = w * nu;
    let y = theta * theta;

    // get the asymptotic BesselJ(1, nu) squared
    let b = bessel_j1_squared::<U>(kcopy);

    // get chebyshev interpolants for nodes
    let sf1t = (((((-1.290_529_962_742_805_1E-12 * y + 2.407_246_858_643_301_3E-10) * y
        - 3.131_486_546_359_920_4E-8)
        * y
        + 2.755_731_689_620_612_4E-6)
        * y
        - 1.488_095_237_139_091_4E-4)
        * y
        + 4.166_666_666_651_934E-3)
        * y
        - 4.166_666_666_666_63E-2;

    let sf2t = (((((2.206_394_217_818_71E-9 * y - 7.530_367_713_737_693E-8) * y
        + 1.619_692_594_538_362_7E-6)
        * y
        - 2.533_003_260_082_32E-5)
        * y
        + 2.821_168_860_575_604_5E-4)
        * y
        - 2.090_222_483_878_529E-3)
        * y
        + 8.159_722_217_729_322E-3;
    let sf3t = (((((-2.970_582_253_755_262_3E-8 * y + 5.558_453_302_237_962E-7) * y
        - 5.677_978_413_568_331E-6)
        * y
        + 4.184_981_003_295_046E-5)
        * y
        - 2.513_952_932_839_659E-4)
        * y
        + 1.286_541_985_428_451_3E-3)
        * y
        - 4.160_121_656_202_043E-3;

    // get the Chebyshev interpolants for the weights.

    let wsf1t = ((((((((-2.209_028_610_446_166_4E-14 * y + 2.303_657_268_603_773_8E-12) * y
        - 1.752_577_007_354_238E-10)
        * y
        + 1.037_560_669_279_168E-8)
        * y
        - 4.639_686_475_532_213E-7)
        * y
        + 1.496_445_936_250_286_4E-5)
        * y
        - 3.262_786_595_944_122E-4)
        * y
        + 4.365_079_365_075_981E-3)
        * y
        - 3.055_555_555_555_53E-2)
        * y
        + 8.333_333_333_333_333E-2;

    let wsf2t = (((((((3.631_174_121_526_548E-12 * y + 7.676_435_450_698_932E-11) * y
        - 7.129_128_572_336_422E-9)
        * y
        + 2.114_838_806_859_471_6E-7)
        * y
        - 3.818_179_186_800_454E-6)
        * y
        + 4.659_695_306_949_684E-5)
        * y
        - 4.072_971_856_113_357_5E-4)
        * y
        + 2.689_594_356_947_297E-3)
        * y
        - 1.111_111_111_112_149_2E-2;

    let wsf3t = (((((((2.018_267_912_567_033E-9 * y - 4.386_471_225_202_067E-8) * y
        + 5.088_983_472_886_716E-7)
        * y
        - 3.979_333_165_191_352_5E-6)
        * y
        + 2.005_593_263_964_583_4E-5)
        * y
        - 4.228_880_592_829_212E-5)
        * y
        - 1.056_460_502_540_761_4E-4)
        * y
        - 9.479_693_089_585_773E-5)
        * y
        + 6.569_664_899_264_848E-3;

    // then refine with the paper expansions.
    let nuosin = nu / theta.sin();
    let bnuosin = b * nuosin;
    let winvsinc = w * w * nuosin;
    let wis2 = winvsinc * winvsinc;

    theta = w * (nu + (theta) * winvsinc * (sf1t + wis2 * (sf2t + wis2 * sf3t)));
    let deno = bnuosin + bnuosin * wis2 * (wsf1t + wis2 * (wsf2t + wis2 * wsf3t));
    let weight = (2.0E+00 * w) / deno;

    if n < k + k - one() {
        theta = PI - theta;
    }

    let x = theta.cos();

    (theta, weight, x)
}

/// Computes the $k^{th}$ pair of an $N$-point Guass-Legendre rule.
/// * `l` - number of points in the given rule $l \geq 1$.
/// * `k` - index of the point to be returned $1 \leq k \leq l$.
///
/// Returns the $\theta$ coordinate, weight, and $x$ coordinate of the point.
///
/// Discussion:
///
/// The data has been tabulated, and is only avalable for $N\leq 100$
///
fn glpair_tabulated<U: Unsigned + ToPrimitive + PartialOrd + Copy>(l: U, k: U) -> (f64, f64, f64) {
    if l < one() || 100 < l.to_usize().unwrap() {
        panic!("GLPAIRTABULATED - Fatal error!\nIllegal value of L.");
    }

    if k < one() || l < k {
        panic!("GLPAIRTABULATED - Fatal error!\nIllegal value of K.");
    }

    let kcopy = k.to_usize().unwrap() - 1;

    let theta: f64;
    let weight: f64;

    let l = l.to_usize().unwrap();

    // odd legendre degree

    if l.is_odd() {
        let l2 = (l - 1) / 2;

        match kcopy.cmp(&l2) {
            Ordering::Equal => {
                theta = PI / 2.0E+00;
                weight = 2.0E+00 / (CL[l] * CL[l]);
            }
            Ordering::Greater => {
                theta = PI - ODD_THETA_ZEROS[l2 - 1][kcopy - l2 - 1];
                weight = ODD_WEIGHTS[l2 - 1][kcopy - l2 - 1];
            }
            Ordering::Less => {
                theta = ODD_THETA_ZEROS[l2 - 1][l2 - kcopy - 1];
                weight = ODD_WEIGHTS[l2 - 1][l2 - kcopy - 1];
            }
        }
    }
    // even Legendre degree
    else {
        let l2 = l / 2;

        match kcopy.cmp(&l2) {
            Ordering::Less => {
                theta = EVEN_THETA_ZEROS[l2 - 1][l2 - kcopy - 1];
                weight = EVEN_WEIGHTS[l2 - 1][l2 - kcopy - 1];
            }
            _ => {
                theta = PI - EVEN_THETA_ZEROS[l2 - 1][kcopy - l2];
                weight = EVEN_WEIGHTS[l2 - 1][kcopy - l2];
            }
        }
    }

    let x = theta.cos();

    (theta, weight, x)
}

#[cfg(test)]
mod tests {

    use num::Float;

    use super::*;

    const EPSILON: f64 = 10e-5;

    /// Test the numerical integration of ln(x) over the range ]0,1],
    /// exact value of the numerical integration is -1.
    /// Normally, one would not use Gauss-Legendre quadrature for this,
    /// but for the sake of having an example with l > 100, this is included.
    #[test]
    fn test_glpair() {
        // number of nodes used in Gauss-Legendre integral computation
        let mut l: usize = 100;
        let exact = -1.0;

        println!("Integral Exact Value: {}", exact);

        for _ in 0..=6 {
            // Gauss-Legendre rule using glpair function
            let integral: f64 = (1..=l)
                .map(|k| {
                    let (_, weight, x) = glpair(l, k);
                    0.5 * weight * (0.5 * (x + 1.0)).ln()
                })
                .sum();

            println!(
                "number of nodes: {} \t Gauss-Legendre Integral: {}",
                l, integral
            );

            assert!((integral - exact).abs() < EPSILON);

            l *= 10;
        }
    }

    // Test the numerical integration of cos(1000 x) over the range [-1,1]
    // for varying number of Gauss-Legendre quadrature nodes l.
    // exact value of the numerical integration is 0.002 * sin(1000)
    // The fact that only twelve digits of accuracy are obtained is due to the
    // condition number of the summation.
    #[test]
    fn test_glpairs() {
        let exact = 0.002 * (1000.0).sin();

        println!("Integral Exact Value: {}", exact);

        for l in (540..=700_usize).step_by(20) {
            // Gauss-Legendre rule using glpair function
            let integral: f64 = (1..=l)
                .map(|k| {
                    let (_, weight, x) = glpairs(l, k);
                    weight * (1000.0 * x).cos()
                })
                .sum();

            println!(
                "number of nodes: {} \t Gauss-Legendre Integral: {}",
                l, integral
            );

            assert!((integral - exact).abs() < EPSILON);
        }
    }

    // Test the numerical integration of exp(x) over the range [-1,1]
    // for varying number of Gauss-Legendre quadrature nodes l.
    // exact value of the numerical integration is e - 1/e
    #[test]
    fn test_glpair_tabulated() {
        let exact = 1.0.exp() - (-1.0).exp();
        println!("Integral Exact Value: {}", exact);

        for l in 3..=9_usize {
            // Gauss-Legendre rule using glpair function
            let integral: f64 = (1..=l)
                .map(|k| {
                    let (_, weight, x) = glpair_tabulated(l, k);
                    weight * x.exp()
                })
                .sum();

            println!(
                "number of nodes: {} \t Gauss-Legendre Integral: {}",
                l, integral
            );

            assert!((integral - exact).abs() < EPSILON);
        }
    }
}