sin_values.py

# Different systems disagree on the value of sin(x) in the lowest bits;
# this causes a lot of thrash. To streamline this, we hardcode the NodeJS
# output values of our sin(x) computations, which themselves take a finite
# set of values thank to their inputs.

# buoyancy ranges [0, 2], so round(10 * buoyancy) ranges [0, 20]
# frequency ranges [6, 26]
# day ranges [0, 239] a bit higher than max ever observed

# NodeJS implementation:
"""
function __test_nodejs_values() {
    const FREQ_RANGE = [6, 26];
    const NUM_DAYS = 240;
    const values = {};
    for (let frequency = FREQ_RANGE[0]; frequency <= FREQ_RANGE[1]; frequency++) {
        values[frequency] = [...Array(NUM_DAYS).keys()].map(
            day => Math.sin(Math.PI * ((2 / frequency) * day + 0.5)),
        );
    }
    return values;
}
"""

# Python implementation:
"""
import math

def __test_python_values():
    FREQ_RANGE = [6, 26]
    NUM_DAYS = 240
    values = {}
    for frequency in range(FREQ_RANGE[0], FREQ_RANGE[1] + 1):
        values[frequency] = [math.sin(math.pi * ((2 / frequency) * day + 0.5)) for day in range(NUM_DAYS)]
    return values
"""


# Computed on July 25, 2022 using Node v16.9.1 with
# Ubuntu 20.04.3 LTS (GNU/Linux 5.4.0-77-generic x86_64)
SIN_PHASES = {
    6: [
        1,
        0.5000000000000003,
        -0.4999999999999994,
        -1,
        -0.5000000000000004,
        0.4999999999999993,
        1,
        0.5000000000000013,
        -0.49999999999999917,
        -1,
        -0.5000000000000014,
        0.4999999999999975,
        1,
        0.5000000000000016,
        -0.49999999999999895,
        -1,
        -0.5000000000000001,
        0.49999999999999883,
        1,
        0.5000000000000002,
        -0.4999999999999987,
        -1,
        -0.5000000000000003,
        0.4999999999999986,
        1,
        0.5000000000000036,
        -0.4999999999999985,
        -1,
        -0.5000000000000036,
        0.4999999999999984,
        1,
        0.5000000000000068,
        -0.49999999999999833,
        -1,
        -0.5000000000000038,
        0.4999999999999951,
        1,
        0.500000000000007,
        -0.4999999999999981,
        -1,
        -0.500000000000004,
        0.4999999999999949,
        1,
        0.5000000000000072,
        -0.4999999999999979,
        -1,
        -0.5000000000000042,
        0.49999999999999467,
        1,
        0.5000000000000074,
        -0.4999999999999915,
        -1,
        -0.5000000000000044,
        0.4999999999999945,
        1,
        0.5000000000000077,
        -0.4999999999999913,
        -1,
        -0.5000000000000047,
        0.4999999999999943,
        1,
        0.5000000000000017,
        -0.4999999999999911,
        -1,
        -0.500000000000011,
        0.49999999999999406,
        1,
        0.5000000000000081,
        -0.49999999999999706,
        -1,
        -0.5000000000000051,
        0.4999999999999877,
        1,
        0.5000000000000021,
        -0.4999999999999907,
        -1,
        -0.5000000000000114,
        0.4999999999999936,
        1,
        0.5000000000000084,
        -0.4999999999999966,
        -1,
        -0.5000000000000056,
        0.4999999999999873,
        1,
        0.5000000000000026,
        -0.49999999999999023,
        -1,
        -0.5000000000000119,
        0.4999999999999932,
        1,
        0.5000000000000089,
        -0.49999999999999617,
        -1,
        -0.500000000000006,
        0.49999999999998684,
        1,
        0.5000000000000153,
        -0.4999999999999898,
        -1,
        -0.5000000000000123,
        0.4999999999999928,
        1,
        0.5000000000000216,
        -0.4999999999999958,
        -1,
        -0.5000000000000187,
        0.4999999999999864,
        1,
        0.5000000000000157,
        -0.4999999999999894,
        -1,
        -0.5000000000000128,
        0.49999999999999234,
        1,
        0.5000000000000221,
        -0.49999999999999534,
        -1,
        -0.5000000000000191,
        0.499999999999986,
        1,
        0.5000000000000284,
        -0.5000000000000013,
        -1,
        -0.5000000000000131,
        0.49999999999999195,
        1,
        0.5000000000000225,
        -0.4999999999999826,
        -1,
        -0.5000000000000072,
        0.4999999999999979,
        1,
        0.5000000000000165,
        -0.49999999999998856,
        -1,
        -0.5000000000000259,
        0.4999999999999792,
        1,
        0.5000000000000107,
        -0.4999999999999945,
        -1,
        -0.50000000000002,
        0.4999999999999851,
        1,
        0.5000000000000293,
        -0.5000000000000004,
        -1,
        -0.500000000000014,
        0.4999999999999911,
        1,
        0.5000000000000233,
        -0.49999999999998174,
        -1,
        -0.5000000000000081,
        0.49999999999999706,
        1,
        0.5000000000000174,
        -0.4999999999999877,
        -1,
        -0.5000000000000268,
        0.49999999999997835,
        1,
        0.5000000000000114,
        -0.4999999999999936,
        -1,
        -0.5000000000000208,
        0.4999999999999843,
        1,
        0.5000000000000301,
        -0.49999999999999956,
        -1,
        -0.5000000000000149,
        0.49999999999999023,
        1,
        0.5000000000000242,
        -0.4999999999999809,
        -1,
        -0.5000000000000089,
        0.49999999999999617,
        1,
        0.5000000000000182,
        -0.49999999999998684,
        -1,
        -0.5000000000000275,
        0.4999999999999775,
        1,
        0.5000000000000123,
        -0.4999999999999928,
        -1,
        -0.5000000000000216,
        0.4999999999999588,
        1,
        0.500000000000031,
        -0.49999999999997413,
        -1,
        -0.5000000000000157,
        0.4999999999999648,
        1,
        0.5000000000000251,
        -0.4999999999999554,
        -1,
        -0.5000000000000098,
        0.49999999999997075,
        1,
        0.5000000000000191,
        -0.49999999999996136,
        -1,
        -0.5000000000000284,
        0.4999999999999767,
        1,
        0.5000000000000131,
        -0.4999999999999673,
        -1,
        -0.5000000000000225,
        0.499999999999958,
        1,
        0.5000000000000319,
        -0.49999999999997324,
        -1,
        -0.5000000000000165,
        0.4999999999999639,
        1,
        0.5000000000000259,
        -0.4999999999999546,
        -1,
        -0.5000000000000107,
        0.49999999999996986,
        1,
        0.50000000000002,
        -0.49999999999996053,
        -1,
        -0.5000000000000293,
        0.4999999999999758,
        1,
        0.500000000000014,
        -0.49999999999996647,
        -1,
        -0.5000000000000233,
        0.49999999999995715,
    ],
    7: [
        1,
        0.6234898018587336,
        -0.22252093395631428,
        -0.900968867902419,
        -0.9009688679024193,
        -0.2225209339563155,
        0.6234898018587334,
        1,
        0.6234898018587338,
        -0.22252093395631403,
        -0.9009688679024181,
        -0.9009688679024194,
        -0.22252093395631486,
        0.6234898018587317,
        1,
        0.623489801858734,
        -0.2225209339563138,
        -0.900968867902418,
        -0.9009688679024203,
        -0.22252093395631684,
        0.6234898018587316,
        1,
        0.6234898018587356,
        -0.22252093395631184,
        -0.9009688679024179,
        -0.9009688679024203,
        -0.22252093395631709,
        0.6234898018587314,
        1,
        0.6234898018587358,
        -0.2225209339563116,
        -0.9009688679024163,
        -0.9009688679024204,
        -0.22252093395631387,
        0.6234898018587284,
        1,
        0.6234898018587387,
        -0.2225209339563148,
        -0.9009688679024163,
        -0.9009688679024189,
        -0.22252093395632103,
        0.6234898018587282,
        1,
        0.6234898018587389,
        -0.2225209339563146,
        -0.9009688679024161,
        -0.900968867902419,
        -0.22252093395632128,
        0.623489801858728,
        1,
        0.6234898018587391,
        -0.22252093395631434,
        -0.900968867902416,
        -0.9009688679024191,
        -0.2225209339563215,
        0.6234898018587334,
        1,
        0.6234898018587393,
        -0.22252093395630718,
        -0.9009688679024189,
        -0.9009688679024193,
        -0.22252093395632175,
        0.6234898018587276,
        1,
        0.6234898018587395,
        -0.22252093395630693,
        -0.9009688679024189,
        -0.9009688679024194,
        -0.22252093395632197,
        0.6234898018587274,
        1,
        0.6234898018587341,
        -0.2225209339563067,
        -0.9009688679024188,
        -0.9009688679024226,
        -0.22252093395631528,
        0.6234898018587273,
        1,
        0.6234898018587399,
        -0.22252093395629952,
        -0.9009688679024156,
        -0.9009688679024196,
        -0.22252093395632247,
        0.6234898018587215,
        1,
        0.6234898018587345,
        -0.2225209339563062,
        -0.9009688679024124,
        -0.9009688679024228,
        -0.22252093395631578,
        0.6234898018587268,
        1,
        0.6234898018587403,
        -0.22252093395629904,
        -0.9009688679024154,
        -0.9009688679024198,
        -0.22252093395632294,
        0.6234898018587212,
        1,
        0.6234898018587349,
        -0.22252093395630573,
        -0.9009688679024122,
        -0.900968867902423,
        -0.22252093395631625,
        0.6234898018587265,
        1,
        0.6234898018587407,
        -0.22252093395629857,
        -0.9009688679024151,
        -0.90096886790242,
        -0.2225209339563234,
        0.6234898018587207,
        1,
        0.6234898018587353,
        -0.22252093395630526,
        -0.9009688679024119,
        -0.9009688679024294,
        -0.22252093395633057,
        0.6234898018587371,
        1,
        0.623489801858741,
        -0.2225209339562981,
        -0.9009688679024149,
        -0.9009688679024265,
        -0.22252093395633774,
        0.6234898018587315,
        1,
        0.6234898018587357,
        -0.2225209339563048,
        -0.9009688679024117,
        -0.9009688679024296,
        -0.22252093395633105,
        0.6234898018587368,
        1,
        0.6234898018587414,
        -0.22252093395629763,
        -0.9009688679024147,
        -0.9009688679024266,
        -0.22252093395633823,
        0.623489801858731,
        1,
        0.6234898018587471,
        -0.22252093395629044,
        -0.9009688679024177,
        -0.9009688679024237,
        -0.22252093395633155,
        0.6234898018587365,
        1,
        0.6234898018587418,
        -0.22252093395629713,
        -0.9009688679024084,
        -0.900968867902433,
        -0.22252093395632486,
        0.6234898018587418,
        1,
        0.6234898018587365,
        -0.22252093395630382,
        -0.9009688679024114,
        -0.90096886790243,
        -0.22252093395634587,
        0.6234898018587249,
        1,
        0.623489801858731,
        -0.2225209339563105,
        -0.9009688679024143,
        -0.900968867902427,
        -0.22252093395633918,
        0.6234898018587081,
        1,
        0.6234898018587479,
        -0.2225209339562895,
        -0.9009688679024173,
        -0.900968867902424,
        -0.2225209339563325,
        0.6234898018587134,
        1,
        0.6234898018587426,
        -0.22252093395629619,
        -0.9009688679024079,
        -0.9009688679024335,
        -0.2225209339563258,
        0.6234898018587188,
        1,
        0.6234898018587371,
        -0.22252093395630287,
        -0.9009688679024109,
        -0.9009688679024305,
        -0.2225209339563468,
        0.6234898018587242,
        1,
        0.6234898018587318,
        -0.22252093395630956,
        -0.9009688679024138,
        -0.9009688679024275,
        -0.22252093395634012,
        0.6234898018587073,
        1,
        0.6234898018587487,
        -0.22252093395628855,
        -0.9009688679024168,
        -0.9009688679024245,
        -0.22252093395633343,
        0.6234898018587127,
        1,
        0.6234898018587434,
        -0.22252093395629524,
        -0.9009688679024075,
        -0.9009688679024338,
        -0.22252093395632674,
        0.623489801858718,
        1,
        0.6234898018587379,
        -0.22252093395630193,
        -0.9009688679024105,
        -0.9009688679024309,
        -0.22252093395634778,
        0.6234898018587234,
        1,
        0.6234898018587326,
        -0.22252093395630862,
        -0.9009688679024135,
        -0.9009688679024279,
        -0.2225209339563411,
        0.6234898018587065,
        1,
        0.6234898018587495,
        -0.22252093395628758,
        -0.900968867902404,
        -0.9009688679024249,
        -0.22252093395630668,
        0.623489801858712,
        1,
        0.6234898018587663,
        -0.22252093395629427,
        -0.900968867902407,
        -0.9009688679024342,
        -0.22252093395632772,
        0.6234898018587173,
        1,
        0.6234898018587609,
    ],
    8: [
        1,
        0.7071067811865476,
        1.2246467991473532e-16,
        -0.7071067811865475,
        -1,
        -0.7071067811865477,
        -2.4492935982947064e-16,
        0.7071067811865474,
        1,
        0.7071067811865483,
        3.6739403974420594e-16,
        -0.7071067811865479,
        -1,
        -0.7071067811865485,
        -4.898587196589413e-16,
        0.7071067811865478,
        1,
        0.7071067811865486,
        6.123233995736766e-16,
        -0.7071067811865477,
        -1,
        -0.7071067811865487,
        -7.347880794884119e-16,
        0.7071067811865477,
        1,
        0.7071067811865488,
        8.572527594031472e-16,
        -0.7071067811865476,
        -1,
        -0.7071067811865488,
        -9.797174393178826e-16,
        0.7071067811865475,
        1,
        0.7071067811865489,
        1.102182119232618e-15,
        -0.7071067811865474,
        -1,
        -0.707106781186549,
        -1.2246467991473533e-15,
        0.7071067811865448,
        1,
        0.7071067811865491,
        4.899825157862589e-15,
        -0.7071067811865471,
        -1,
        -0.7071067811865467,
        -1.4695761589768238e-15,
        0.7071067811865446,
        1,
        0.7071067811865492,
        -1.9606728399089416e-15,
        -0.707106781186547,
        -1,
        -0.7071067811865468,
        -1.7145055188062944e-15,
        0.7071067811865444,
        1,
        0.7071067811865495,
        5.3896838775215305e-15,
        -0.7071067811865468,
        -1,
        -0.707106781186547,
        -1.959434878635765e-15,
        0.7071067811865442,
        1,
        0.7071067811865496,
        -1.4708141202500005e-15,
        -0.7071067811865467,
        -1,
        -0.7071067811865471,
        -2.204364238465236e-15,
        0.707106781186544,
        1,
        0.7071067811865498,
        5.879542597180472e-15,
        -0.7071067811865465,
        -1,
        -0.7071067811865474,
        -2.4492935982947065e-15,
        0.7071067811865439,
        1,
        0.7071067811865449,
        -9.809554005910593e-16,
        -0.7071067811865464,
        -1,
        -0.7071067811865526,
        -9.799650315725178e-15,
        0.7071067811865488,
        1,
        0.7071067811865501,
        6.369401316839413e-15,
        -0.7071067811865411,
        -1,
        -0.7071067811865477,
        -2.9391523179536475e-15,
        0.7071067811865436,
        1,
        0.7071067811865452,
        -4.91096680932118e-16,
        -0.707106781186546,
        -1,
        -0.7071067811865529,
        3.921345679817883e-15,
        0.7071067811865483,
        1,
        0.7071067811865505,
        6.859260036498355e-15,
        -0.7071067811865408,
        -1,
        -0.707106781186548,
        -3.429011037612589e-15,
        0.7071067811865432,
        1,
        0.7071067811865456,
        -1.2379612731767154e-18,
        -0.7071067811865457,
        -1,
        -0.7071067811865532,
        -1.0779367755043061e-14,
        0.7071067811865481,
        1,
        0.7071067811865508,
        7.349118756157295e-15,
        -0.7071067811865405,
        -1,
        -0.7071067811865483,
        -3.91886975727153e-15,
        0.7071067811865429,
        1,
        0.7071067811865459,
        4.886207583857646e-16,
        -0.7071067811865454,
        -1,
        -0.7071067811865536,
        2.941628240500001e-15,
        0.7071067811865477,
        1,
        0.7071067811865511,
        7.838977475816237e-15,
        -0.7071067811865401,
        -1,
        -0.7071067811865488,
        -4.408728476930472e-15,
        0.7071067811865425,
        1,
        0.7071067811865464,
        9.784794780447059e-16,
        -0.7071067811865449,
        -1,
        -0.7071067811865539,
        -1.1759085194360944e-14,
        0.7071067811865474,
        1,
        0.7071067811865515,
        8.328836195475178e-15,
        -0.7071067811865397,
        -1,
        -0.7071067811865491,
        -4.898587196589413e-15,
        0.7071067811865421,
        1,
        0.7071067811865567,
        1.567919291290565e-14,
        -0.7071067811865345,
        -1,
        -0.7071067811865442,
        1.9619108011821185e-15,
        0.707106781186547,
        1,
        0.7071067811865519,
        8.81869491513412e-15,
        -0.7071067811865394,
        -1,
        -0.7071067811865595,
        -1.9599300631450357e-14,
        0.7071067811865518,
        1,
        0.707106781186547,
        1.9581969173625882e-15,
        -0.7071067811865442,
        -1,
        -0.7071067811865546,
        -1.2738802633678827e-14,
        0.7071067811865366,
        1,
        0.7071067811865421,
        -4.902301080408943e-15,
        -0.707106781186549,
        -1,
        -0.7071067811865498,
        -5.878304635907295e-15,
        0.7071067811865415,
        1,
        0.7071067811865575,
        1.6658910352223535e-14,
        -0.7071067811865338,
        -1,
        -0.7071067811865449,
        9.82193361864236e-16,
        0.7071067811865464,
        1,
        0.7071067811865526,
        9.798412354452001e-15,
        -0.7071067811865387,
        -1,
        -0.7071067811865601,
        7.842691359635767e-15,
        0.7071067811865511,
        1,
        0.7071067811865477,
        2.937914356680471e-15,
        -0.7071067811865436,
        -1,
        -0.7071067811865553,
        -1.371852007299671e-14,
        0.7071067811865359,
        1,
        0.7071067811865428,
        -3.92258364109106e-15,
        -0.7071067811865483,
        -1,
        -0.7071067811865505,
        -6.858022075225178e-15,
        0.7071067811865408,
        1,
        0.7071067811865581,
        1.7638627791541416e-14,
        -0.7071067811865331,
        -1,
        -0.7071067811865456,
        2.475922546353431e-18,
        0.7071067811865457,
        1,
        0.7071067811865532,
        1.0778129793769884e-14,
        -0.707106781186538,
        -1,
        -0.7071067811865609,
        -2.1558735510086122e-14,
        0.7071067811865505,
    ],
    9: [
        1,
        0.766044443118978,
        0.17364817766693072,
        -0.4999999999999994,
        -0.9396926207859082,
        -0.9396926207859083,
        -0.5000000000000004,
        0.17364817766692991,
        0.7660444431189778,
        1,
        0.7660444431189776,
        0.17364817766693225,
        -0.49999999999999917,
        -0.9396926207859084,
        -0.9396926207859086,
        -0.5000000000000014,
        0.17364817766692967,
        0.766044443118977,
        1,
        0.7660444431189778,
        0.17364817766693075,
        -0.49999999999999895,
        -0.9396926207859077,
        -0.9396926207859093,
        -0.5000000000000001,
        0.17364817766692942,
        0.7660444431189769,
        1,
        0.7660444431189802,
        0.1736481776669345,
        -0.4999999999999987,
        -0.9396926207859077,
        -0.9396926207859094,
        -0.5000000000000003,
        0.1736481776669292,
        0.766044443118979,
        1,
        0.7660444431189803,
        0.17364817766693125,
        -0.4999999999999985,
        -0.9396926207859088,
        -0.9396926207859095,
        -0.5000000000000036,
        0.17364817766692894,
        0.7660444431189743,
        1,
        0.7660444431189782,
        0.17364817766693147,
        -0.49999999999999833,
        -0.9396926207859074,
        -0.9396926207859096,
        -0.5000000000000038,
        0.1736481776669252,
        0.7660444431189741,
        1,
        0.7660444431189783,
        0.1736481776669387,
        -0.4999999999999981,
        -0.9396926207859073,
        -0.9396926207859096,
        -0.500000000000004,
        0.17364817766692497,
        0.766044443118974,
        1,
        0.7660444431189786,
        0.17364817766693896,
        -0.4999999999999979,
        -0.9396926207859073,
        -0.9396926207859098,
        -0.5000000000000042,
        0.17364817766693172,
        0.7660444431189783,
        1,
        0.7660444431189787,
        0.17364817766693919,
        -0.4999999999999915,
        -0.9396926207859072,
        -0.9396926207859099,
        -0.5000000000000044,
        0.17364817766692447,
        0.7660444431189782,
        1,
        0.7660444431189789,
        0.17364817766693944,
        -0.4999999999999913,
        -0.9396926207859071,
        -0.93969262078591,
        -0.5000000000000047,
        0.17364817766692422,
        0.766044443118969,
        1,
        0.7660444431189836,
        0.17364817766693968,
        -0.4999999999999911,
        -0.9396926207859094,
        -0.9396926207859077,
        -0.500000000000011,
        0.173648177666917,
        0.7660444431189688,
        1,
        0.7660444431189792,
        0.1736481776669329,
        -0.49999999999999706,
        -0.939692620785907,
        -0.9396926207859101,
        -0.5000000000000051,
        0.17364817766692375,
        0.7660444431189732,
        1,
        0.7660444431189839,
        0.17364817766694016,
        -0.4999999999999907,
        -0.9396926207859044,
        -0.9396926207859078,
        -0.5000000000000114,
        0.1736481776669165,
        0.7660444431189685,
        1,
        0.7660444431189795,
        0.1736481776669334,
        -0.4999999999999966,
        -0.9396926207859019,
        -0.9396926207859103,
        -0.5000000000000056,
        0.17364817766692328,
        0.7660444431189729,
        1,
        0.7660444431189842,
        0.17364817766694066,
        -0.49999999999999023,
        -0.9396926207859042,
        -0.939692620785908,
        -0.5000000000000119,
        0.17364817766691604,
        0.7660444431189681,
        1,
        0.7660444431189798,
        0.17364817766693388,
        -0.49999999999999617,
        -0.9396926207859018,
        -0.9396926207859104,
        -0.500000000000006,
        0.1736481776669368,
        0.7660444431189635,
        1,
        0.7660444431189846,
        0.17364817766694113,
        -0.4999999999999898,
        -0.9396926207859041,
        -0.939692620785913,
        -0.5000000000000123,
        0.17364817766692955,
        0.766044443118977,
        1,
        0.7660444431189801,
        0.17364817766693436,
        -0.4999999999999958,
        -0.9396926207859015,
        -0.9396926207859155,
        -0.5000000000000187,
        0.1736481776669363,
        0.7660444431189722,
        1,
        0.7660444431189849,
        0.1736481776669416,
        -0.4999999999999894,
        -0.9396926207859039,
        -0.9396926207859131,
        -0.5000000000000128,
        0.17364817766691507,
        0.7660444431189767,
        1,
        0.7660444431189805,
        0.17364817766693486,
        -0.49999999999999534,
        -0.9396926207859014,
        -0.9396926207859156,
        -0.5000000000000191,
        0.17364817766690782,
        0.7660444431189719,
        1,
        0.7660444431189851,
        0.1736481776669421,
        -0.5000000000000013,
        -0.9396926207859038,
        -0.9396926207859182,
        -0.5000000000000131,
        0.1736481776669006,
        0.7660444431189672,
        1,
        0.7660444431189899,
        0.17364817766693533,
        -0.4999999999999826,
        -0.9396926207859061,
        -0.9396926207859159,
        -0.5000000000000072,
        0.17364817766690735,
        0.7660444431189717,
        1,
        0.7660444431189855,
        0.17364817766692858,
        -0.49999999999998856,
        -0.9396926207858988,
        -0.9396926207859134,
        -0.5000000000000259,
        0.1736481776669141,
        0.766044443118976,
        1,
        0.7660444431189811,
        0.17364817766694982,
        -0.4999999999999945,
        -0.9396926207859011,
        -0.9396926207859111,
        -0.50000000000002,
        0.17364817766692087,
        0.7660444431189805,
        1,
        0.7660444431189767,
        0.17364817766694304,
        -0.5000000000000004,
        -0.9396926207859034,
        -0.9396926207859185,
        -0.500000000000014,
        0.17364817766689963,
        0.7660444431189666,
        1,
        0.7660444431189906,
        0.1736481776669363,
        -0.49999999999998174,
        -0.9396926207859058,
        -0.9396926207859162,
        -0.5000000000000081,
        0.17364817766690638,
        0.7660444431189527,
        1,
        0.7660444431189861,
        0.17364817766692955,
        -0.4999999999999877,
        -0.9396926207858984,
        -0.9396926207859138,
    ],
    10: [
        1,
        0.8090169943749475,
        0.3090169943749475,
        -0.30901699437494773,
        -0.8090169943749473,
        -1,
        -0.809016994374947,
        -0.3090169943749476,
        0.3090169943749472,
        0.8090169943749468,
        1,
        0.8090169943749476,
        0.30901699437494606,
        -0.30901699437494706,
        -0.8090169943749472,
        -1,
        -0.8090169943749477,
        -0.3090169943749462,
        0.30901699437494523,
        0.8090169943749481,
        1,
        0.8090169943749478,
        0.3090169943749463,
        -0.3090169943749485,
        -0.8090169943749481,
        -1,
        -0.8090169943749468,
        -0.3090169943749464,
        0.3090169943749484,
        0.809016994374948,
        1,
        0.8090169943749469,
        0.30901699437494656,
        -0.3090169943749483,
        -0.8090169943749479,
        -1,
        -0.8090169943749469,
        -0.3090169943749467,
        0.30901699437495156,
        0.8090169943749479,
        1,
        0.809016994374947,
        0.3090169943749468,
        -0.3090169943749447,
        -0.8090169943749478,
        -1,
        -0.8090169943749471,
        -0.3090169943749469,
        0.30901699437495134,
        0.8090169943749498,
        1,
        0.809016994374945,
        0.309016994374947,
        -0.3090169943749512,
        -0.8090169943749477,
        -1,
        -0.8090169943749472,
        -0.3090169943749505,
        0.30901699437494773,
        0.8090169943749497,
        1,
        0.8090169943749452,
        0.30901699437494723,
        -0.30901699437495095,
        -0.8090169943749475,
        -1,
        -0.8090169943749473,
        -0.3090169943749507,
        0.30901699437494745,
        0.8090169943749496,
        1,
        0.8090169943749453,
        0.30901699437494745,
        -0.3090169943749507,
        -0.8090169943749473,
        -1,
        -0.8090169943749475,
        -0.30901699437495095,
        0.30901699437494723,
        0.8090169943749493,
        1,
        0.8090169943749497,
        0.30901699437494096,
        -0.3090169943749505,
        -0.8090169943749472,
        -1,
        -0.8090169943749518,
        -0.30901699437494445,
        0.309016994374947,
        0.8090169943749492,
        1,
        0.8090169943749498,
        0.3090169943749412,
        -0.3090169943749503,
        -0.8090169943749471,
        -1,
        -0.8090169943749437,
        -0.3090169943749447,
        0.3090169943749468,
        0.8090169943749491,
        1,
        0.8090169943749416,
        0.3090169943749482,
        -0.30901699437495006,
        -0.8090169943749511,
        -1,
        -0.8090169943749396,
        -0.3090169943749449,
        0.3090169943749533,
        0.8090169943749448,
        1,
        0.8090169943749459,
        0.3090169943749416,
        -0.30901699437494307,
        -0.8090169943749468,
        -1,
        -0.8090169943749439,
        -0.3090169943749384,
        0.3090169943749463,
        0.8090169943749488,
        1,
        0.8090169943749419,
        0.3090169943749486,
        -0.30901699437494956,
        -0.8090169943749508,
        -1,
        -0.8090169943749399,
        -0.3090169943749454,
        0.30901699437495284,
        0.8090169943749445,
        1,
        0.8090169943749462,
        0.3090169943749421,
        -0.30901699437494257,
        -0.8090169943749466,
        -1,
        -0.8090169943749442,
        -0.30901699437493885,
        0.30901699437494584,
        0.8090169943749486,
        1,
        0.8090169943749421,
        0.3090169943749491,
        -0.3090169943749491,
        -0.8090169943749506,
        -1,
        -0.8090169943749401,
        -0.30901699437494584,
        0.30901699437495234,
        0.8090169943749442,
        1,
        0.8090169943749466,
        0.30901699437494257,
        -0.3090169943749421,
        -0.8090169943749462,
        -1,
        -0.8090169943749445,
        -0.3090169943749393,
        0.3090169943749454,
        0.8090169943749399,
        1,
        0.8090169943749425,
        0.30901699437494956,
        -0.3090169943749486,
        -0.8090169943749502,
        -1,
        -0.8090169943749405,
        -0.30901699437495983,
        0.3090169943749519,
        0.8090169943749522,
        1,
        0.8090169943749468,
        0.30901699437495656,
        -0.3090169943749416,
        -0.8090169943749543,
        -1,
        -0.8090169943749448,
        -0.3090169943749533,
        0.3090169943749449,
        0.8090169943749563,
        1,
        0.8090169943749428,
        0.30901699437495,
        -0.3090169943749482,
        -0.80901699437495,
        -1,
        -0.8090169943749408,
        -0.3090169943749603,
        0.30901699437495145,
        0.809016994374952,
        1,
        0.8090169943749471,
        0.30901699437492997,
        -0.3090169943749412,
        -0.809016994374954,
        -1,
        -0.809016994374945,
        -0.30901699437494023,
        0.30901699437494445,
        0.809016994374956,
        1,
        0.809016994374943,
        0.30901699437492347,
        -0.30901699437494773,
        -0.8090169943749497,
        -1,
        -0.809016994374941,
        -0.30901699437493374,
        0.30901699437493746,
        0.80901699437496,
        1,
        0.8090169943749473,
        0.30901699437494395,
        -0.3090169943749542,
        -0.8090169943749537,
        -1,
        -0.809016994374937,
        -0.3090169943749272,
        0.30901699437494395,
        0.8090169943749473,
        1,
        0.8090169943749433,
        0.30901699437493746,
        -0.30901699437493374,
        -0.8090169943749578,
        -1,
        -0.8090169943749497,
        -0.3090169943749477,
        0.3090169943749505,
        0.8090169943749514,
        1,
        0.8090169943749393,
        0.3090169943749309,
        -0.30901699437494023,
        -0.809016994374945,
        -1,
        -0.8090169943749457,
        -0.3090169943749412,
        0.309016994374957,
        0.8090169943749554,
    ],
    11: [
        1,
        0.8412535328311811,
        0.4154150130018863,
        -0.14231483827328492,
        -0.654860733945285,
        -0.9594929736144974,
        -0.9594929736144975,
        -0.6548607339452857,
        -0.1423148382732853,
        0.41541501300188677,
        0.8412535328311812,
        1,
        0.8412535328311815,
        0.4154150130018857,
        -0.1423148382732838,
        -0.6548607339452851,
        -0.9594929736144974,
        -0.9594929736144976,
        -0.6548607339452844,
        -0.14231483827328467,
        0.41541501300188655,
        0.8412535328311811,
        1,
        0.8412535328311816,
        0.41541501300188755,
        -0.14231483827328534,
        -0.654860733945285,
        -0.9594929736144973,
        -0.9594929736144976,
        -0.654860733945286,
        -0.14231483827328315,
        0.41541501300188793,
        0.8412535328311819,
        1,
        0.8412535328311828,
        0.41541501300188616,
        -0.1423148382732851,
        -0.6548607339452848,
        -0.9594929736144971,
        -0.9594929736144977,
        -0.6548607339452834,
        -0.1423148382732834,
        0.4154150130018877,
        0.8412535328311818,
        1,
        0.8412535328311829,
        0.4154150130018896,
        -0.1423148382732813,
        -0.6548607339452819,
        -0.9594929736144981,
        -0.9594929736144968,
        -0.6548607339452837,
        -0.14231483827328362,
        0.4154150130018875,
        0.8412535328311797,
        1,
        0.841253532831183,
        0.4154150130018866,
        -0.1423148382732811,
        -0.6548607339452844,
        -0.959492973614498,
        -0.9594929736144978,
        -0.6548607339452839,
        -0.1423148382732874,
        0.41541501300188727,
        0.8412535328311795,
        1,
        0.8412535328311832,
        0.4154150130018868,
        -0.14231483827328084,
        -0.6548607339452842,
        -0.9594929736144979,
        -0.9594929736144979,
        -0.654860733945284,
        -0.14231483827328764,
        0.41541501300188705,
        0.8412535328311794,
        1,
        0.8412535328311833,
        0.41541501300188705,
        -0.14231483827328764,
        -0.654860733945284,
        -0.9594929736144979,
        -0.9594929736144979,
        -0.6548607339452842,
        -0.14231483827328786,
        0.4154150130018868,
        0.8412535328311832,
        1,
        0.8412535328311795,
        0.41541501300188727,
        -0.1423148382732874,
        -0.6548607339452839,
        -0.9594929736144978,
        -0.959492973614498,
        -0.6548607339452844,
        -0.1423148382732881,
        0.4154150130018866,
        0.841253532831183,
        1,
        0.8412535328311797,
        0.4154150130018875,
        -0.14231483827328714,
        -0.6548607339452837,
        -0.9594929736144978,
        -0.9594929736144981,
        -0.6548607339452845,
        -0.1423148382732813,
        0.4154150130018864,
        0.8412535328311829,
        1,
        0.841253532831176,
        0.4154150130018877,
        -0.1423148382732869,
        -0.6548607339452781,
        -0.9594929736144957,
        -0.9594929736144981,
        -0.6548607339452848,
        -0.14231483827328156,
        0.4154150130018797,
        0.8412535328311866,
        1,
        0.84125353283118,
        0.41541501300189443,
        -0.14231483827327962,
        -0.6548607339452833,
        -0.9594929736144976,
        -0.9594929736145003,
        -0.6548607339452903,
        -0.1423148382732748,
        0.41541501300188594,
        0.8412535328311826,
        1,
        0.8412535328311762,
        0.41541501300188816,
        -0.14231483827328642,
        -0.6548607339452778,
        -0.9594929736144956,
        -0.9594929736144984,
        -0.6548607339452851,
        -0.14231483827328206,
        0.4154150130018793,
        0.8412535328311863,
        1,
        0.8412535328311802,
        0.4154150130018949,
        -0.14231483827327915,
        -0.6548607339452829,
        -0.9594929736144975,
        -0.9594929736145004,
        -0.6548607339452907,
        -0.14231483827327526,
        0.4154150130018855,
        0.8412535328311823,
        1,
        0.8412535328311765,
        0.4154150130018886,
        -0.14231483827328595,
        -0.6548607339452773,
        -0.9594929736144954,
        -0.9594929736144945,
        -0.6548607339452855,
        -0.14231483827328253,
        0.41541501300187883,
        0.8412535328311861,
        1,
        0.8412535328311805,
        0.4154150130018953,
        -0.14231483827327865,
        -0.6548607339452825,
        -0.9594929736144974,
        -0.9594929736144965,
        -0.6548607339452911,
        -0.14231483827327573,
        0.415415013001898,
        0.8412535328311821,
        1,
        0.8412535328311844,
        0.4154150130018761,
        -0.14231483827328545,
        -0.654860733945277,
        -0.9594929736144953,
        -0.9594929736144946,
        -0.6548607339452859,
        -0.14231483827329708,
        0.41541501300189126,
        0.8412535328311858,
        1,
        0.8412535328311884,
        0.4154150130018828,
        -0.14231483827327818,
        -0.6548607339452821,
        -0.9594929736144933,
        -0.9594929736144967,
        -0.6548607339452914,
        -0.1423148382732903,
        0.41541501300189754,
        0.8412535328311818,
        1,
        0.8412535328311848,
        0.41541501300187655,
        -0.14231483827328498,
        -0.6548607339452767,
        -0.9594929736144991,
        -0.9594929736144947,
        -0.6548607339452862,
        -0.14231483827329758,
        0.4154150130018908,
        0.8412535328311855,
        1,
        0.8412535328311888,
        0.41541501300188327,
        -0.14231483827327768,
        -0.6548607339452818,
        -0.959492973614501,
        -0.9594929736144968,
        -0.6548607339452918,
        -0.14231483827329078,
        0.4154150130018971,
        0.8412535328311815,
        1,
        0.841253532831185,
        0.41541501300188993,
        -0.14231483827328448,
        -0.654860733945287,
        -0.959492973614499,
        -0.9594929736144948,
        -0.6548607339452973,
        -0.14231483827329805,
        0.4154150130019033,
        0.8412535328311775,
        1,
        0.8412535328311813,
        0.4154150130018837,
        -0.14231483827329128,
        -0.6548607339452707,
        -0.9594929736145009,
        -0.9594929736144929,
        -0.6548607339452922,
        -0.14231483827329128,
    ],
    12: [
        1,
        0.8660254037844387,
        0.5000000000000003,
        1.2246467991473532e-16,
        -0.4999999999999994,
        -0.8660254037844385,
        -1,
        -0.866025403784439,
        -0.5000000000000004,
        -2.4492935982947064e-16,
        0.4999999999999993,
        0.8660254037844379,
        1,
        0.8660254037844392,
        0.5000000000000013,
        3.6739403974420594e-16,
        -0.49999999999999917,
        -0.8660254037844378,
        -1,
        -0.8660254037844392,
        -0.5000000000000014,
        -4.898587196589413e-16,
        0.4999999999999975,
        0.8660254037844378,
        1,
        0.8660254037844402,
        0.5000000000000016,
        6.123233995736766e-16,
        -0.49999999999999895,
        -0.8660254037844377,
        -1,
        -0.8660254037844402,
        -0.5000000000000001,
        -7.347880794884119e-16,
        0.49999999999999883,
        0.8660254037844377,
        1,
        0.8660254037844403,
        0.5000000000000002,
        8.572527594031472e-16,
        -0.4999999999999987,
        -0.8660254037844376,
        -1,
        -0.8660254037844403,
        -0.5000000000000003,
        -9.797174393178826e-16,
        0.4999999999999986,
        0.8660254037844357,
        1,
        0.8660254037844404,
        0.5000000000000036,
        1.102182119232618e-15,
        -0.4999999999999985,
        -0.8660254037844357,
        -1,
        -0.8660254037844404,
        -0.5000000000000036,
        -1.2246467991473533e-15,
        0.4999999999999984,
        0.8660254037844374,
        1,
        0.8660254037844405,
        0.5000000000000068,
        4.899825157862589e-15,
        -0.49999999999999833,
        -0.8660254037844356,
        -1,
        -0.8660254037844388,
        -0.5000000000000038,
        -1.4695761589768238e-15,
        0.4999999999999951,
        0.8660254037844373,
        1,
        0.8660254037844406,
        0.500000000000007,
        -1.9606728399089416e-15,
        -0.4999999999999981,
        -0.8660254037844355,
        -1,
        -0.8660254037844389,
        -0.500000000000004,
        -1.7145055188062944e-15,
        0.4999999999999949,
        0.8660254037844372,
        1,
        0.8660254037844407,
        0.5000000000000072,
        5.3896838775215305e-15,
        -0.4999999999999979,
        -0.8660254037844354,
        -1,
        -0.866025403784439,
        -0.5000000000000042,
        -1.959434878635765e-15,
        0.49999999999999467,
        0.866025403784437,
        1,
        0.8660254037844444,
        0.5000000000000074,
        -1.4708141202500005e-15,
        -0.4999999999999915,
        -0.8660254037844353,
        -1,
        -0.8660254037844427,
        -0.5000000000000044,
        -2.204364238465236e-15,
        0.4999999999999945,
        0.8660254037844369,
        1,
        0.8660254037844445,
        0.5000000000000077,
        5.879542597180472e-15,
        -0.4999999999999913,
        -0.8660254037844352,
        -1,
        -0.8660254037844428,
        -0.5000000000000047,
        -2.4492935982947065e-15,
        0.4999999999999943,
        0.8660254037844368,
        1,
        0.866025403784441,
        0.5000000000000017,
        -9.809554005910593e-16,
        -0.4999999999999911,
        -0.8660254037844349,
        -1,
        -0.8660254037844465,
        -0.500000000000011,
        -9.799650315725178e-15,
        0.49999999999999406,
        0.8660254037844367,
        1,
        0.8660254037844448,
        0.5000000000000081,
        6.369401316839413e-15,
        -0.49999999999999706,
        -0.8660254037844384,
        -1,
        -0.866025403784443,
        -0.5000000000000051,
        -2.9391523179536475e-15,
        0.4999999999999877,
        0.866025403784433,
        1,
        0.8660254037844414,
        0.5000000000000021,
        -4.91096680932118e-16,
        -0.4999999999999907,
        -0.8660254037844347,
        -1,
        -0.8660254037844467,
        -0.5000000000000114,
        3.921345679817883e-15,
        0.4999999999999936,
        0.8660254037844365,
        1,
        0.866025403784445,
        0.5000000000000084,
        6.859260036498355e-15,
        -0.4999999999999966,
        -0.8660254037844382,
        -1,
        -0.8660254037844433,
        -0.5000000000000056,
        -3.429011037612589e-15,
        0.4999999999999873,
        0.8660254037844327,
        1,
        0.8660254037844416,
        0.5000000000000026,
        -1.2379612731767154e-18,
        -0.49999999999999023,
        -0.8660254037844345,
        -1,
        -0.8660254037844469,
        -0.5000000000000119,
        -1.0779367755043061e-14,
        0.4999999999999932,
        0.8660254037844362,
        1,
        0.8660254037844453,
        0.5000000000000089,
        7.349118756157295e-15,
        -0.49999999999999617,
        -0.8660254037844379,
        -1,
        -0.8660254037844436,
        -0.500000000000006,
        -3.91886975727153e-15,
        0.49999999999998684,
        0.8660254037844325,
        1,
        0.8660254037844418,
        0.5000000000000153,
        4.886207583857646e-16,
        -0.4999999999999898,
        -0.8660254037844272,
        -1,
        -0.8660254037844473,
        -0.5000000000000123,
        2.941628240500001e-15,
        0.4999999999999928,
        0.8660254037844288,
        1,
        0.8660254037844455,
        0.5000000000000216,
        7.838977475816237e-15,
        -0.4999999999999958,
        -0.8660254037844306,
        -1,
        -0.8660254037844438,
        -0.5000000000000187,
        -4.408728476930472e-15,
        0.4999999999999864,
        0.8660254037844323,
        1,
        0.866025403784442,
        0.5000000000000157,
        9.784794780447059e-16,
        -0.4999999999999894,
        -0.8660254037844269,
        -1,
        -0.8660254037844475,
        -0.5000000000000128,
        -1.1759085194360944e-14,
        0.49999999999999234,
        0.8660254037844286,
        1,
        0.8660254037844457,
        0.5000000000000221,
        8.328836195475178e-15,
        -0.49999999999999534,
        -0.8660254037844304,
        -1,
        -0.866025403784444,
        -0.5000000000000191,
        -4.898587196589413e-15,
        0.499999999999986,
        0.866025403784432,
    ],
    13: [
        1,
        0.8854560256532099,
        0.5680647467311558,
        0.12053668025532308,
        -0.3546048870425356,
        -0.7485107481711009,
        -0.970941817426052,
        -0.9709418174260519,
        -0.7485107481711011,
        -0.35460488704253595,
        0.12053668025532226,
        0.5680647467311563,
        0.8854560256532099,
        1,
        0.8854560256532095,
        0.5680647467311553,
        0.12053668025532287,
        -0.3546048870425354,
        -0.7485107481711006,
        -0.9709418174260522,
        -0.970941817426052,
        -0.7485107481711012,
        -0.3546048870425345,
        0.12053668025532202,
        0.568064746731156,
        0.8854560256532107,
        1,
        0.8854560256532096,
        0.568064746731154,
        0.12053668025532312,
        -0.3546048870425352,
        -0.7485107481711016,
        -0.9709418174260517,
        -0.970941817426052,
        -0.7485107481711025,
        -0.35460488704253645,
        0.12053668025532355,
        0.5680647467311544,
        0.8854560256532097,
        1,
        0.8854560256532105,
        0.5680647467311557,
        0.12053668025532512,
        -0.35460488704253496,
        -0.7485107481711015,
        -0.9709418174260517,
        -0.9709418174260521,
        -0.7485107481711027,
        -0.3546048870425367,
        0.12053668025532682,
        0.5680647467311571,
        0.8854560256532096,
        1,
        0.8854560256532089,
        0.5680647467311559,
        0.12053668025532537,
        -0.354604887042538,
        -0.7485107481711013,
        -0.9709418174260516,
        -0.9709418174260521,
        -0.7485107481711005,
        -0.3546048870425369,
        0.12053668025532305,
        0.5680647467311598,
        0.8854560256532111,
        1,
        0.8854560256532074,
        0.5680647467311531,
        0.12053668025532208,
        -0.3546048870425411,
        -0.7485107481711035,
        -0.9709418174260523,
        -0.9709418174260522,
        -0.7485107481710983,
        -0.3546048870425338,
        0.12053668025532281,
        0.5680647467311597,
        0.885456025653211,
        1,
        0.8854560256532075,
        0.5680647467311534,
        0.12053668025532233,
        -0.3546048870425409,
        -0.7485107481711033,
        -0.9709418174260523,
        -0.9709418174260506,
        -0.7485107481710985,
        -0.354604887042534,
        0.12053668025532963,
        0.5680647467311595,
        0.8854560256532109,
        1,
        0.8854560256532076,
        0.5680647467311536,
        0.12053668025532256,
        -0.3546048870425407,
        -0.7485107481711032,
        -0.9709418174260522,
        -0.9709418174260506,
        -0.7485107481710986,
        -0.35460488704253423,
        0.12053668025532938,
        0.5680647467311593,
        0.8854560256532108,
        1,
        0.885456025653211,
        0.5680647467311538,
        0.12053668025531576,
        -0.35460488704254045,
        -0.7485107481711031,
        -0.9709418174260522,
        -0.9709418174260523,
        -0.7485107481710989,
        -0.35460488704253446,
        0.12053668025532914,
        0.568064746731159,
        0.8854560256532107,
        1,
        0.8854560256532111,
        0.568064746731154,
        0.120536680255316,
        -0.35460488704254023,
        -0.7485107481711029,
        -0.9709418174260521,
        -0.9709418174260525,
        -0.748510748171099,
        -0.35460488704253473,
        0.12053668025532889,
        0.5680647467311588,
        0.8854560256532106,
        1,
        0.8854560256532112,
        0.5680647467311541,
        0.12053668025531625,
        -0.35460488704253335,
        -0.7485107481711027,
        -0.9709418174260503,
        -0.9709418174260525,
        -0.7485107481710992,
        -0.3546048870425283,
        0.12053668025532159,
        0.5680647467311586,
        0.8854560256532071,
        1,
        0.8854560256532147,
        0.5680647467311486,
        0.12053668025532353,
        -0.35460488704253973,
        -0.7485107481710979,
        -0.970941817426052,
        -0.9709418174260542,
        -0.7485107481710946,
        -0.3546048870425352,
        0.1205366802553284,
        0.5680647467311526,
        0.8854560256532104,
        1,
        0.8854560256532049,
        0.5680647467311546,
        0.12053668025531673,
        -0.3546048870425329,
        -0.7485107481711024,
        -0.9709418174260502,
        -0.9709418174260526,
        -0.7485107481710995,
        -0.35460488704252874,
        0.1205366802553211,
        0.5680647467311583,
        0.8854560256532069,
        1,
        0.8854560256532084,
        0.5680647467311489,
        0.12053668025532402,
        -0.3546048870425393,
        -0.7485107481710975,
        -0.9709418174260519,
        -0.970941817426051,
        -0.748510748171095,
        -0.3546048870425356,
        0.12053668025532792,
        0.5680647467311521,
        0.8854560256532101,
        1,
        0.8854560256532051,
        0.568064746731155,
        0.12053668025531722,
        -0.3546048870425324,
        -0.7485107481711021,
        -0.9709418174260501,
        -0.9709418174260493,
        -0.7485107481710997,
        -0.3546048870425292,
        0.12053668025532062,
        0.5680647467311578,
        0.8854560256532067,
        1,
        0.8854560256532086,
        0.5680647467311494,
        0.12053668025532452,
        -0.35460488704253884,
        -0.7485107481710972,
        -0.9709418174260518,
        -0.9709418174260511,
        -0.7485107481710953,
        -0.35460488704253607,
        0.12053668025532743,
        0.5680647467311518,
        0.8854560256532099,
        1,
        0.8854560256532119,
        0.5680647467311671,
        0.1205366802553318,
        -0.3546048870425452,
        -0.7485107481711112,
        -0.9709418174260535,
        -0.9709418174260495,
        -0.7485107481711002,
        -0.3546048870425297,
        0.12053668025532013,
        0.5680647467311574,
        0.8854560256532065,
        1,
        0.8854560256532154,
        0.5680647467311615,
        0.12053668025531089,
        -0.35460488704255166,
        -0.7485107481711063,
        -0.9709418174260551,
        -0.9709418174260512,
        -0.7485107481710955,
        -0.35460488704253657,
        0.12053668025532695,
        0.5680647467311514,
        0.8854560256532097,
        1,
        0.8854560256532121,
        0.5680647467311675,
        0.12053668025530408,
        -0.3546048870425448,
        -0.7485107481711109,
    ],
    14: [
        1,
        0.9009688679024191,
        0.6234898018587336,
        0.2225209339563145,
        -0.22252093395631428,
        -0.623489801858733,
        -0.900968867902419,
        -1,
        -0.9009688679024193,
        -0.6234898018587337,
        -0.2225209339563155,
        0.22252093395631328,
        0.6234898018587334,
        0.9009688679024186,
        1,
        0.9009688679024193,
        0.6234898018587338,
        0.22252093395631475,
        -0.22252093395631403,
        -0.6234898018587318,
        -0.9009688679024181,
        -1,
        -0.9009688679024194,
        -0.6234898018587339,
        -0.22252093395631486,
        0.22252093395631392,
        0.6234898018587317,
        0.9009688679024181,
        1,
        0.9009688679024201,
        0.623489801858734,
        0.22252093395631672,
        -0.2225209339563138,
        -0.6234898018587344,
        -0.900968867902418,
        -1,
        -0.9009688679024203,
        -0.6234898018587355,
        -0.22252093395631684,
        0.22252093395631195,
        0.6234898018587316,
        0.900968867902418,
        1,
        0.9009688679024203,
        0.6234898018587356,
        0.22252093395631697,
        -0.22252093395631184,
        -0.6234898018587315,
        -0.9009688679024179,
        -1,
        -0.9009688679024203,
        -0.6234898018587357,
        -0.22252093395631709,
        0.2225209339563117,
        0.6234898018587314,
        0.9009688679024195,
        1,
        0.9009688679024204,
        0.6234898018587358,
        0.22252093395631373,
        -0.2225209339563116,
        -0.6234898018587313,
        -0.9009688679024163,
        -1,
        -0.9009688679024204,
        -0.6234898018587358,
        -0.22252093395631387,
        0.22252093395631148,
        0.6234898018587284,
        0.9009688679024178,
        1,
        0.9009688679024205,
        0.6234898018587387,
        0.22252093395631745,
        -0.2225209339563148,
        -0.623489801858731,
        -0.9009688679024163,
        -1,
        -0.9009688679024189,
        -0.623489801858736,
        -0.22252093395632103,
        0.22252093395631123,
        0.6234898018587282,
        0.9009688679024177,
        1,
        0.9009688679024206,
        0.6234898018587389,
        0.22252093395631767,
        -0.2225209339563146,
        -0.6234898018587309,
        -0.9009688679024161,
        -1,
        -0.900968867902419,
        -0.6234898018587363,
        -0.22252093395632128,
        0.222520933956311,
        0.623489801858728,
        0.9009688679024176,
        1,
        0.9009688679024207,
        0.6234898018587391,
        0.22252093395631792,
        -0.22252093395631434,
        -0.6234898018587307,
        -0.900968867902416,
        -1,
        -0.9009688679024191,
        -0.6234898018587365,
        -0.2225209339563215,
        0.22252093395630382,
        0.6234898018587334,
        0.9009688679024144,
        1,
        0.9009688679024208,
        0.6234898018587393,
        0.22252093395631817,
        -0.22252093395630718,
        -0.6234898018587249,
        -0.9009688679024189,
        -1,
        -0.9009688679024193,
        -0.6234898018587366,
        -0.22252093395632175,
        0.2225209339563036,
        0.6234898018587276,
        0.9009688679024174,
        1,
        0.9009688679024209,
        0.6234898018587395,
        0.2225209339563184,
        -0.22252093395630693,
        -0.6234898018587247,
        -0.9009688679024189,
        -1,
        -0.9009688679024194,
        -0.6234898018587368,
        -0.22252093395632197,
        0.22252093395630335,
        0.6234898018587274,
        0.9009688679024173,
        1,
        0.9009688679024179,
        0.6234898018587341,
        0.22252093395631864,
        -0.2225209339563067,
        -0.6234898018587246,
        -0.9009688679024188,
        -1,
        -0.9009688679024226,
        -0.6234898018587426,
        -0.22252093395631528,
        0.22252093395631004,
        0.6234898018587273,
        0.9009688679024203,
        1,
        0.9009688679024211,
        0.6234898018587399,
        0.2225209339563258,
        -0.22252093395629952,
        -0.6234898018587299,
        -0.9009688679024156,
        -1,
        -0.9009688679024196,
        -0.6234898018587371,
        -0.22252093395632247,
        0.22252093395630287,
        0.6234898018587215,
        0.9009688679024109,
        1,
        0.9009688679024181,
        0.6234898018587345,
        0.2225209339563191,
        -0.2225209339563062,
        -0.6234898018587242,
        -0.9009688679024124,
        -1,
        -0.9009688679024228,
        -0.6234898018587429,
        -0.22252093395631578,
        0.22252093395630956,
        0.6234898018587268,
        0.9009688679024138,
        1,
        0.9009688679024214,
        0.6234898018587403,
        0.22252093395632627,
        -0.22252093395629904,
        -0.6234898018587296,
        -0.9009688679024154,
        -1,
        -0.9009688679024198,
        -0.6234898018587376,
        -0.22252093395632294,
        0.2225209339563024,
        0.6234898018587212,
        0.9009688679024107,
        1,
        0.9009688679024184,
        0.6234898018587349,
        0.22252093395631958,
        -0.22252093395630573,
        -0.6234898018587238,
        -0.9009688679024122,
        -1,
        -0.900968867902423,
        -0.6234898018587434,
        -0.22252093395631625,
        0.2225209339563091,
        0.6234898018587265,
        0.9009688679024137,
        1,
        0.9009688679024215,
        0.6234898018587407,
        0.22252093395632674,
        -0.22252093395629857,
        -0.6234898018587292,
        -0.9009688679024151,
        -1,
        -0.90096886790242,
        -0.6234898018587379,
        -0.2225209339563234,
        0.2225209339563019,
        0.6234898018587207,
        0.9009688679024105,
        1,
        0.9009688679024247,
        0.6234898018587353,
        0.22252093395633393,
        -0.22252093395630526,
        -0.6234898018587345,
        -0.9009688679024119,
        -1,
        -0.9009688679024294,
        -0.6234898018587437,
        -0.22252093395633057,
        0.2225209339563086,
        0.6234898018587371,
        0.9009688679024135,
        1,
        0.9009688679024279,
    ],
    15: [
        1,
        0.913545457642601,
        0.6691306063588583,
        0.3090169943749475,
        -0.10452846326765305,
        -0.4999999999999994,
        -0.8090169943749473,
        -0.9781476007338056,
        -0.9781476007338056,
        -0.8090169943749476,
        -0.5000000000000004,
        -0.1045284632676543,
        0.3090169943749472,
        0.6691306063588585,
        0.9135454576426009,
        1,
        0.9135454576426008,
        0.6691306063588589,
        0.3090169943749478,
        -0.10452846326765193,
        -0.49999999999999917,
        -0.8090169943749472,
        -0.9781476007338054,
        -0.9781476007338058,
        -0.8090169943749477,
        -0.4999999999999999,
        -0.10452846326765278,
        0.30901699437494523,
        0.6691306063588582,
        0.9135454576426012,
        1,
        0.9135454576426016,
        0.6691306063588591,
        0.3090169943749463,
        -0.10452846326765168,
        -0.49999999999999895,
        -0.809016994374946,
        -0.9781476007338056,
        -0.9781476007338059,
        -0.8090169943749468,
        -0.5000000000000001,
        -0.10452846326765479,
        0.309016994374945,
        0.669130606358858,
        0.9135454576426003,
        1,
        0.9135454576426024,
        0.6691306063588592,
        0.30901699437494656,
        -0.10452846326765321,
        -0.4999999999999987,
        -0.8090169943749459,
        -0.9781476007338056,
        -0.9781476007338059,
        -0.8090169943749469,
        -0.5000000000000003,
        -0.10452846326765503,
        0.3090169943749448,
        0.6691306063588606,
        0.9135454576426016,
        1,
        0.9135454576426025,
        0.6691306063588621,
        0.3090169943749468,
        -0.10452846326765296,
        -0.4999999999999985,
        -0.8090169943749478,
        -0.9781476007338055,
        -0.978147600733806,
        -0.8090169943749491,
        -0.5000000000000006,
        -0.10452846326765527,
        0.30901699437494456,
        0.6691306063588551,
        0.9135454576426001,
        1,
        0.9135454576426026,
        0.6691306063588597,
        0.309016994374947,
        -0.10452846326764918,
        -0.49999999999999833,
        -0.8090169943749477,
        -0.9781476007338062,
        -0.978147600733806,
        -0.8090169943749514,
        -0.49999999999999767,
        -0.10452846326765552,
        0.30901699437494773,
        0.6691306063588549,
        0.9135454576426001,
        1,
        0.9135454576426028,
        0.6691306063588598,
        0.30901699437494723,
        -0.10452846326764895,
        -0.4999999999999981,
        -0.8090169943749475,
        -0.9781476007338061,
        -0.9781476007338061,
        -0.8090169943749516,
        -0.4999999999999979,
        -0.10452846326765576,
        0.30901699437494745,
        0.6691306063588547,
        0.9135454576426,
        1,
        0.9135454576426029,
        0.66913060635886,
        0.30901699437494745,
        -0.1045284632676487,
        -0.4999999999999979,
        -0.8090169943749432,
        -0.9781476007338061,
        -0.9781476007338061,
        -0.8090169943749517,
        -0.4999999999999981,
        -0.10452846326765601,
        0.30901699437494723,
        0.6691306063588598,
        0.9135454576425999,
        1,
        0.913545457642603,
        0.6691306063588601,
        0.30901699437495445,
        -0.10452846326764845,
        -0.5000000000000038,
        -0.8090169943749472,
        -0.978147600733806,
        -0.9781476007338062,
        -0.8090169943749518,
        -0.5000000000000044,
        -0.10452846326766331,
        0.309016994374947,
        0.6691306063588597,
        0.9135454576425998,
        1,
        0.913545457642603,
        0.6691306063588603,
        0.30901699437495467,
        -0.10452846326764821,
        -0.5000000000000036,
        -0.8090169943749471,
        -0.978147600733806,
        -0.9781476007338062,
        -0.809016994374952,
        -0.5000000000000047,
        -0.10452846326766356,
        0.3090169943749468,
        0.6691306063588595,
        0.9135454576425996,
        1,
        0.9135454576426031,
        0.6691306063588606,
        0.3090169943749482,
        -0.1045284632676409,
        -0.5000000000000034,
        -0.8090169943749511,
        -0.9781476007338045,
        -0.9781476007338064,
        -0.8090169943749479,
        -0.500000000000011,
        -0.1045284632676638,
        0.3090169943749533,
        0.669130606358854,
        0.9135454576425995,
        1,
        0.9135454576426003,
        0.669130606358866,
        0.30901699437495517,
        -0.10452846326764773,
        -0.49999999999999706,
        -0.8090169943749468,
        -0.9781476007338059,
        -0.9781476007338078,
        -0.8090169943749522,
        -0.5000000000000051,
        -0.10452846326765698,
        0.3090169943749463,
        0.6691306063588591,
        0.9135454576426023,
        1,
        0.9135454576426033,
        0.6691306063588609,
        0.3090169943749486,
        -0.10452846326764041,
        -0.500000000000003,
        -0.8090169943749508,
        -0.9781476007338044,
        -0.9781476007338065,
        -0.8090169943749482,
        -0.5000000000000114,
        -0.1045284632676643,
        0.30901699437495284,
        0.6691306063588536,
        0.9135454576425993,
        1,
        0.9135454576426005,
        0.6691306063588663,
        0.3090169943749556,
        -0.10452846326764724,
        -0.4999999999999966,
        -0.8090169943749466,
        -0.9781476007338058,
        -0.9781476007338079,
        -0.8090169943749526,
        -0.5000000000000056,
        -0.10452846326765747,
        0.3090169943749323,
        0.6691306063588587,
        0.9135454576426021,
        1,
        0.9135454576426035,
        0.6691306063588612,
        0.3090169943749491,
        -0.10452846326763993,
        -0.5000000000000026,
        -0.8090169943749506,
        -0.9781476007338042,
        -0.9781476007338065,
        -0.8090169943749486,
        -0.5000000000000119,
        -0.10452846326766478,
        0.30901699437493885,
        0.6691306063588532,
        0.9135454576425992,
        1,
        0.9135454576426008,
        0.6691306063588668,
        0.3090169943749561,
        -0.10452846326764675,
        -0.49999999999999617,
        -0.8090169943749462,
        -0.9781476007338057,
        -0.978147600733808,
        -0.8090169943749528,
        -0.500000000000006,
        -0.10452846326765795,
        0.30901699437493185,
        0.6691306063588583,
        0.913545457642602,
    ],
    16: [
        1,
        0.9238795325112867,
        0.7071067811865476,
        0.3826834323650899,
        1.2246467991473532e-16,
        -0.38268343236508967,
        -0.7071067811865475,
        -0.9238795325112865,
        -1,
        -0.9238795325112866,
        -0.7071067811865477,
        -0.3826834323650904,
        -2.4492935982947064e-16,
        0.38268343236508995,
        0.7071067811865474,
        0.9238795325112865,
        1,
        0.9238795325112867,
        0.7071067811865483,
        0.3826834323650905,
        3.6739403974420594e-16,
        -0.38268343236508984,
        -0.7071067811865479,
        -0.9238795325112864,
        -1,
        -0.9238795325112867,
        -0.7071067811865485,
        -0.3826834323650906,
        -4.898587196589413e-16,
        0.3826834323650897,
        0.7071067811865478,
        0.9238795325112864,
        1,
        0.9238795325112868,
        0.7071067811865486,
        0.3826834323650907,
        6.123233995736766e-16,
        -0.38268343236508795,
        -0.7071067811865477,
        -0.9238795325112863,
        -1,
        -0.9238795325112868,
        -0.7071067811865487,
        -0.3826834323650892,
        -7.347880794884119e-16,
        0.38268343236508784,
        0.7071067811865477,
        0.9238795325112863,
        1,
        0.923879532511287,
        0.7071067811865488,
        0.38268343236508934,
        8.572527594031472e-16,
        -0.38268343236508773,
        -0.7071067811865476,
        -0.9238795325112863,
        -1,
        -0.923879532511287,
        -0.7071067811865488,
        -0.38268343236508945,
        -9.797174393178826e-16,
        0.3826834323650876,
        0.7071067811865475,
        0.9238795325112862,
        1,
        0.923879532511287,
        0.7071067811865489,
        0.38268343236508956,
        1.102182119232618e-15,
        -0.3826834323650875,
        -0.7071067811865474,
        -0.9238795325112862,
        -1,
        -0.9238795325112871,
        -0.707106781186549,
        -0.38268343236508967,
        -1.2246467991473533e-15,
        0.3826834323650874,
        0.7071067811865448,
        0.9238795325112874,
        1,
        0.9238795325112871,
        0.7071067811865491,
        0.38268343236509306,
        4.899825157862589e-15,
        -0.38268343236509056,
        -0.7071067811865471,
        -0.9238795325112861,
        -1,
        -0.9238795325112885,
        -0.7071067811865467,
        -0.3826834323650899,
        -1.4695761589768238e-15,
        0.3826834323650872,
        0.7071067811865446,
        0.9238795325112874,
        1,
        0.9238795325112872,
        0.7071067811865492,
        0.3826834323650933,
        -1.9606728399089416e-15,
        -0.38268343236509034,
        -0.707106781186547,
        -0.923879532511286,
        -1,
        -0.9238795325112886,
        -0.7071067811865468,
        -0.3826834323650901,
        -1.7145055188062944e-15,
        0.38268343236508695,
        0.7071067811865444,
        0.9238795325112873,
        1,
        0.9238795325112873,
        0.7071067811865495,
        0.3826834323650935,
        5.3896838775215305e-15,
        -0.3826834323650901,
        -0.7071067811865468,
        -0.9238795325112859,
        -1,
        -0.9238795325112886,
        -0.707106781186547,
        -0.38268343236509034,
        -1.959434878635765e-15,
        0.38268343236508673,
        0.7071067811865442,
        0.9238795325112872,
        1,
        0.9238795325112874,
        0.7071067811865496,
        0.3826834323650937,
        -1.4708141202500005e-15,
        -0.3826834323650899,
        -0.7071067811865467,
        -0.9238795325112857,
        -1,
        -0.9238795325112887,
        -0.7071067811865471,
        -0.38268343236509056,
        -2.204364238465236e-15,
        0.3826834323650865,
        0.707106781186544,
        0.9238795325112871,
        1,
        0.9238795325112874,
        0.7071067811865498,
        0.38268343236509395,
        5.879542597180472e-15,
        -0.38268343236508967,
        -0.7071067811865465,
        -0.9238795325112856,
        -1,
        -0.9238795325112888,
        -0.7071067811865474,
        -0.3826834323650908,
        -2.4492935982947065e-15,
        0.3826834323650863,
        0.7071067811865439,
        0.9238795325112843,
        1,
        0.9238795325112903,
        0.7071067811865449,
        0.3826834323650876,
        -9.809554005910593e-16,
        -0.38268343236508945,
        -0.7071067811865464,
        -0.9238795325112856,
        -1,
        -0.923879532511289,
        -0.7071067811865526,
        -0.3826834323650976,
        -9.799650315725178e-15,
        0.3826834323650926,
        0.7071067811865488,
        0.923879532511287,
        1,
        0.9238795325112876,
        0.7071067811865501,
        0.3826834323650944,
        6.369401316839413e-15,
        -0.3826834323650826,
        -0.7071067811865411,
        -0.9238795325112882,
        -1,
        -0.9238795325112863,
        -0.7071067811865477,
        -0.3826834323650912,
        -2.9391523179536475e-15,
        0.3826834323650858,
        0.7071067811865436,
        0.9238795325112841,
        1,
        0.9238795325112904,
        0.7071067811865452,
        0.38268343236508806,
        -4.91096680932118e-16,
        -0.382683432365089,
        -0.707106781186546,
        -0.9238795325112854,
        -1,
        -0.9238795325112892,
        -0.7071067811865529,
        -0.38268343236509805,
        3.921345679817883e-15,
        0.38268343236509217,
        0.7071067811865483,
        0.9238795325112867,
        1,
        0.9238795325112878,
        0.7071067811865505,
        0.3826834323650949,
        6.859260036498355e-15,
        -0.3826834323650822,
        -0.7071067811865408,
        -0.9238795325112881,
        -1,
        -0.9238795325112865,
        -0.707106781186548,
        -0.38268343236509167,
        -3.429011037612589e-15,
        0.38268343236508534,
        0.7071067811865432,
        0.9238795325112839,
        1,
        0.9238795325112906,
        0.7071067811865456,
        0.3826834323650885,
        -1.2379612731767154e-18,
        -0.3826834323650885,
        -0.7071067811865457,
        -0.9238795325112852,
        -1,
        -0.9238795325112893,
        -0.7071067811865532,
        -0.3826834323650985,
        -1.0779367755043061e-14,
        0.3826834323650917,
        0.7071067811865481,
        0.9238795325112865,
    ],
    17: [
        1,
        0.9324722294043558,
        0.7390089172206591,
        0.44573835577653836,
        0.0922683594633023,
        -0.2736629900720833,
        -0.6026346363792562,
        -0.850217135729614,
        -0.9829730996839017,
        -0.9829730996839018,
        -0.8502171357296141,
        -0.6026346363792565,
        -0.27366299007208317,
        0.09226835946330149,
        0.44573835577653764,
        0.7390089172206585,
        0.9324722294043557,
        1,
        0.9324722294043557,
        0.7390089172206595,
        0.4457383557765382,
        0.09226835946330121,
        -0.2736629900720826,
        -0.6026346363792567,
        -0.8502171357296139,
        -0.9829730996839015,
        -0.982973099683902,
        -0.8502171357296142,
        -0.6026346363792574,
        -0.27366299007208345,
        0.09226835946330036,
        0.44573835577653587,
        0.739008917220659,
        0.932472229404356,
        1,
        0.9324722294043564,
        0.7390089172206598,
        0.44573835577654003,
        0.09226835946330146,
        -0.27366299007208067,
        -0.6026346363792552,
        -0.8502171357296128,
        -0.9829730996839018,
        -0.982973099683902,
        -0.8502171357296134,
        -0.6026346363792562,
        -0.27366299007208367,
        0.09226835946330011,
        0.44573835577653564,
        0.7390089172206589,
        0.9324722294043553,
        1,
        0.9324722294043571,
        0.7390089172206599,
        0.44573835577654025,
        0.0922683594633017,
        -0.2736629900720821,
        -0.602634636379255,
        -0.8502171357296127,
        -0.9829730996839017,
        -0.982973099683902,
        -0.8502171357296137,
        -0.6026346363792564,
        -0.2736629900720839,
        0.09226835946329986,
        0.4457383557765354,
        0.739008917220661,
        0.9324722294043565,
        1,
        0.9324722294043573,
        0.7390089172206624,
        0.44573835577653725,
        0.09226835946330195,
        -0.2736629900720819,
        -0.6026346363792547,
        -0.8502171357296143,
        -0.9829730996839017,
        -0.9829730996839021,
        -0.8502171357296155,
        -0.6026346363792566,
        -0.2736629900720841,
        0.09226835946329963,
        0.4457383557765352,
        0.7390089172206561,
        0.932472229404355,
        1,
        0.9324722294043573,
        0.7390089172206602,
        0.4457383557765375,
        0.09226835946330572,
        -0.27366299007208167,
        -0.6026346363792517,
        -0.8502171357296161,
        -0.9829730996839017,
        -0.9829730996839028,
        -0.8502171357296158,
        -0.6026346363792625,
        -0.27366299007208095,
        0.09226835946329938,
        0.44573835577653814,
        0.7390089172206559,
        0.932472229404355,
        1,
        0.9324722294043574,
        0.7390089172206604,
        0.4457383557765377,
        0.09226835946330597,
        -0.27366299007208145,
        -0.6026346363792515,
        -0.850217135729616,
        -0.9829730996839016,
        -0.9829730996839028,
        -0.8502171357296159,
        -0.6026346363792626,
        -0.27366299007208117,
        0.09226835946329914,
        0.4457383557765379,
        0.7390089172206558,
        0.9324722294043549,
        1,
        0.9324722294043575,
        0.7390089172206605,
        0.4457383557765379,
        0.09226835946330622,
        -0.27366299007208117,
        -0.6026346363792513,
        -0.8502171357296159,
        -0.9829730996839016,
        -0.9829730996839029,
        -0.850217135729616,
        -0.6026346363792628,
        -0.27366299007208145,
        0.09226835946330597,
        0.4457383557765377,
        0.7390089172206604,
        0.9324722294043548,
        1,
        0.9324722294043576,
        0.7390089172206608,
        0.4457383557765445,
        0.09226835946330646,
        -0.2736629900720878,
        -0.6026346363792567,
        -0.8502171357296158,
        -0.9829730996839015,
        -0.9829730996839029,
        -0.8502171357296161,
        -0.6026346363792631,
        -0.2736629900720885,
        0.09226835946329158,
        0.4457383557765375,
        0.7390089172206602,
        0.9324722294043547,
        1,
        0.9324722294043577,
        0.7390089172206609,
        0.44573835577654475,
        0.0922683594633067,
        -0.27366299007208755,
        -0.6026346363792566,
        -0.8502171357296155,
        -0.9829730996839015,
        -0.982973099683903,
        -0.8502171357296162,
        -0.6026346363792633,
        -0.2736629900720887,
        0.09226835946329133,
        0.44573835577653725,
        0.7390089172206601,
        0.9324722294043546,
        1,
        0.9324722294043551,
        0.739008917220661,
        0.44573835577654497,
        0.09226835946331402,
        -0.2736629900720805,
        -0.6026346363792621,
        -0.8502171357296154,
        -0.9829730996839013,
        -0.982973099683903,
        -0.8502171357296201,
        -0.6026346363792577,
        -0.27366299007208894,
        0.0922683594632911,
        0.44573835577653703,
        0.7390089172206551,
        0.9324722294043571,
        1,
        0.9324722294043578,
        0.739008917220666,
        0.4457383557765388,
        0.09226835946330719,
        -0.2736629900720734,
        -0.6026346363792562,
        -0.8502171357296116,
        -0.9829730996839027,
        -0.9829730996839018,
        -0.8502171357296165,
        -0.6026346363792636,
        -0.27366299007209605,
        0.09226835946329792,
        0.4457383557765432,
        0.7390089172206598,
        0.9324722294043545,
        1,
        0.9324722294043554,
        0.7390089172206613,
        0.4457383557765454,
        0.0922683594633145,
        -0.27366299007208,
        -0.6026346363792616,
        -0.8502171357296152,
        -0.9829730996839013,
        -0.9829730996839031,
        -0.8502171357296203,
        -0.6026346363792582,
        -0.27366299007208944,
        0.09226835946329061,
        0.44573835577653664,
        0.7390089172206548,
        0.9324722294043569,
        1,
        0.932472229404358,
        0.7390089172206663,
        0.44573835577653925,
        0.09226835946330768,
        -0.27366299007207295,
        -0.6026346363792559,
        -0.8502171357296113,
        -0.9829730996839026,
        -0.9829730996839019,
        -0.8502171357296168,
        -0.6026346363792641,
        -0.2736629900720965,
        0.09226835946329744,
        0.44573835577654275,
        0.7390089172206594,
        0.9324722294043543,
        1,
        0.9324722294043555,
    ],
    18: [
        1,
        0.9396926207859084,
        0.766044443118978,
        0.5000000000000003,
        0.17364817766693072,
        -0.17364817766693047,
        -0.4999999999999994,
        -0.7660444431189779,
        -0.9396926207859082,
        -1,
        -0.9396926207859083,
        -0.7660444431189787,
        -0.5000000000000004,
        -0.1736481776669304,
        0.17364817766692991,
        0.4999999999999993,
        0.7660444431189778,
        0.9396926207859081,
        1,
        0.9396926207859086,
        0.7660444431189776,
        0.5000000000000013,
        0.17364817766693225,
        -0.17364817766692978,
        -0.49999999999999917,
        -0.7660444431189771,
        -0.9396926207859084,
        -1,
        -0.9396926207859086,
        -0.7660444431189788,
        -0.5000000000000014,
        -0.17364817766693239,
        0.17364817766692967,
        0.4999999999999975,
        0.766044443118977,
        0.9396926207859083,
        1,
        0.9396926207859088,
        0.7660444431189778,
        0.5000000000000016,
        0.17364817766693075,
        -0.17364817766692955,
        -0.49999999999999895,
        -0.766044443118977,
        -0.9396926207859077,
        -1,
        -0.9396926207859093,
        -0.7660444431189779,
        -0.5000000000000001,
        -0.17364817766693438,
        0.17364817766692942,
        0.49999999999999883,
        0.7660444431189769,
        0.9396926207859077,
        1,
        0.9396926207859094,
        0.7660444431189802,
        0.5000000000000002,
        0.1736481776669345,
        -0.1736481776669293,
        -0.4999999999999987,
        -0.7660444431189768,
        -0.9396926207859077,
        -1,
        -0.9396926207859094,
        -0.7660444431189803,
        -0.5000000000000003,
        -0.1736481776669346,
        0.1736481776669292,
        0.4999999999999986,
        0.766044443118979,
        0.9396926207859088,
        1,
        0.9396926207859095,
        0.7660444431189803,
        0.5000000000000036,
        0.17364817766693125,
        -0.17364817766692905,
        -0.4999999999999985,
        -0.7660444431189743,
        -0.9396926207859088,
        -1,
        -0.9396926207859095,
        -0.7660444431189805,
        -0.5000000000000036,
        -0.17364817766693136,
        0.17364817766692894,
        0.4999999999999984,
        0.7660444431189743,
        0.9396926207859062,
        1,
        0.9396926207859083,
        0.7660444431189782,
        0.5000000000000068,
        0.17364817766693147,
        -0.17364817766692883,
        -0.49999999999999833,
        -0.7660444431189766,
        -0.9396926207859074,
        -1,
        -0.9396926207859096,
        -0.7660444431189806,
        -0.5000000000000038,
        -0.17364817766692808,
        0.1736481776669252,
        0.4999999999999951,
        0.7660444431189741,
        0.9396926207859062,
        1,
        0.9396926207859084,
        0.7660444431189783,
        0.500000000000007,
        0.1736481776669387,
        -0.17364817766692858,
        -0.4999999999999981,
        -0.7660444431189763,
        -0.9396926207859073,
        -1,
        -0.9396926207859096,
        -0.7660444431189808,
        -0.500000000000004,
        -0.17364817766693533,
        0.17364817766692497,
        0.4999999999999949,
        0.766044443118974,
        0.9396926207859061,
        1,
        0.9396926207859085,
        0.7660444431189786,
        0.5000000000000072,
        0.17364817766693896,
        -0.17364817766692833,
        -0.4999999999999979,
        -0.7660444431189762,
        -0.9396926207859073,
        -1,
        -0.9396926207859098,
        -0.7660444431189809,
        -0.5000000000000042,
        -0.17364817766693558,
        0.17364817766693172,
        0.49999999999999467,
        0.7660444431189783,
        0.9396926207859035,
        1,
        0.9396926207859086,
        0.7660444431189787,
        0.5000000000000074,
        0.17364817766693919,
        -0.1736481776669211,
        -0.4999999999999915,
        -0.766044443118976,
        -0.9396926207859072,
        -1,
        -0.9396926207859099,
        -0.7660444431189811,
        -0.5000000000000044,
        -0.17364817766693583,
        0.17364817766692447,
        0.4999999999999945,
        0.7660444431189782,
        0.9396926207859083,
        1,
        0.9396926207859086,
        0.7660444431189789,
        0.5000000000000077,
        0.17364817766693944,
        -0.17364817766692087,
        -0.4999999999999913,
        -0.7660444431189714,
        -0.9396926207859071,
        -1,
        -0.93969262078591,
        -0.7660444431189812,
        -0.5000000000000047,
        -0.17364817766693605,
        0.17364817766692422,
        0.4999999999999943,
        0.766044443118969,
        0.9396926207859083,
        1,
        0.9396926207859088,
        0.7660444431189836,
        0.5000000000000017,
        0.17364817766693968,
        -0.1736481776669276,
        -0.4999999999999911,
        -0.7660444431189666,
        -0.9396926207859094,
        -1,
        -0.9396926207859077,
        -0.7660444431189813,
        -0.500000000000011,
        -0.1736481776669363,
        0.173648177666917,
        0.49999999999999406,
        0.7660444431189688,
        0.9396926207859058,
        1,
        0.9396926207859113,
        0.7660444431189792,
        0.5000000000000081,
        0.1736481776669329,
        -0.17364817766692037,
        -0.49999999999999706,
        -0.766044443118971,
        -0.939692620785907,
        -1,
        -0.9396926207859101,
        -0.766044443118977,
        -0.5000000000000051,
        -0.17364817766694354,
        0.17364817766692375,
        0.4999999999999877,
        0.7660444431189732,
        0.9396926207859081,
        1,
        0.939692620785909,
        0.7660444431189839,
        0.5000000000000021,
        0.17364817766694016,
        -0.17364817766692714,
        -0.4999999999999907,
        -0.7660444431189662,
        -0.9396926207859044,
        -1,
        -0.9396926207859078,
        -0.7660444431189817,
        -0.5000000000000114,
        -0.17364817766693677,
        0.1736481776669165,
        0.4999999999999936,
        0.7660444431189685,
        0.9396926207859055,
        1,
        0.9396926207859114,
        0.7660444431189795,
        0.5000000000000084,
        0.1736481776669334,
        -0.1736481776669199,
    ],
    19: [
        1,
        0.9458172417006346,
        0.7891405093963936,
        0.5469481581224268,
        0.2454854871407995,
        -0.08257934547233155,
        -0.4016954246529692,
        -0.6772815716257412,
        -0.8794737512064887,
        -0.9863613034027223,
        -0.9863613034027224,
        -0.879473751206489,
        -0.6772815716257414,
        -0.4016954246529699,
        -0.0825793454723328,
        0.2454854871407987,
        0.5469481581224266,
        0.7891405093963928,
        0.9458172417006343,
        1,
        0.9458172417006351,
        0.7891405093963937,
        0.5469481581224263,
        0.24548548714079932,
        -0.0825793454723313,
        -0.40169542465296776,
        -0.6772815716257403,
        -0.8794737512064891,
        -0.9863613034027222,
        -0.9863613034027227,
        -0.8794737512064895,
        -0.677281571625741,
        -0.40169542465297015,
        -0.08257934547233393,
        0.24548548714079677,
        0.5469481581224256,
        0.7891405093963921,
        0.9458172417006342,
        1,
        0.9458172417006357,
        0.7891405093963939,
        0.5469481581224265,
        0.24548548714080126,
        -0.08257934547233106,
        -0.40169542465296915,
        -0.6772815716257389,
        -0.8794737512064881,
        -0.9863613034027222,
        -0.9863613034027224,
        -0.8794737512064887,
        -0.6772815716257425,
        -0.40169542465297037,
        -0.08257934547233595,
        0.24548548714079652,
        0.5469481581224254,
        0.7891405093963909,
        0.9458172417006335,
        1,
        0.9458172417006352,
        0.789140509396394,
        0.5469481581224267,
        0.2454854871408015,
        -0.08257934547233081,
        -0.40169542465296565,
        -0.6772815716257388,
        -0.879473751206488,
        -0.9863613034027221,
        -0.9863613034027224,
        -0.8794737512064905,
        -0.6772815716257427,
        -0.4016954246529706,
        -0.08257934547233618,
        0.24548548714079285,
        0.5469481581224251,
        0.7891405093963907,
        0.9458172417006346,
        1,
        0.9458172417006353,
        0.7891405093963964,
        0.5469481581224269,
        0.24548548714080176,
        -0.08257934547232704,
        -0.4016954246529687,
        -0.6772815716257385,
        -0.8794737512064879,
        -0.9863613034027221,
        -0.9863613034027225,
        -0.8794737512064906,
        -0.6772815716257402,
        -0.4016954246529708,
        -0.08257934547233643,
        0.2454854871407926,
        0.5469481581224249,
        0.7891405093963928,
        0.9458172417006334,
        1,
        0.9458172417006354,
        0.7891405093963966,
        0.5469481581224271,
        0.24548548714080198,
        -0.08257934547232679,
        -0.4016954246529685,
        -0.6772815716257383,
        -0.8794737512064861,
        -0.9863613034027209,
        -0.9863613034027231,
        -0.8794737512064925,
        -0.677281571625743,
        -0.4016954246529743,
        -0.08257934547233313,
        0.24548548714079582,
        0.5469481581224277,
        0.7891405093963926,
        0.9458172417006333,
        1,
        0.9458172417006354,
        0.7891405093963967,
        0.5469481581224274,
        0.24548548714080223,
        -0.08257934547232654,
        -0.40169542465296826,
        -0.6772815716257381,
        -0.879473751206486,
        -0.9863613034027209,
        -0.9863613034027232,
        -0.8794737512064926,
        -0.6772815716257432,
        -0.40169542465297453,
        -0.08257934547233338,
        0.24548548714079557,
        0.5469481581224276,
        0.7891405093963925,
        0.9458172417006332,
        1,
        0.9458172417006355,
        0.7891405093963968,
        0.5469481581224335,
        0.24548548714080246,
        -0.0825793454723263,
        -0.4016954246529615,
        -0.677281571625738,
        -0.8794737512064859,
        -0.9863613034027208,
        -0.9863613034027232,
        -0.8794737512064927,
        -0.6772815716257434,
        -0.40169542465297475,
        -0.08257934547233363,
        0.24548548714079535,
        0.5469481581224214,
        0.7891405093963967,
        0.9458172417006309,
        1,
        0.9458172417006356,
        0.789140509396397,
        0.5469481581224337,
        0.2454854871408096,
        -0.08257934547233313,
        -0.4016954246529678,
        -0.6772815716257378,
        -0.8794737512064857,
        -0.9863613034027208,
        -0.9863613034027232,
        -0.8794737512064928,
        -0.6772815716257435,
        -0.401695424652975,
        -0.08257934547233386,
        0.2454854871407951,
        0.5469481581224211,
        0.7891405093963878,
        0.9458172417006354,
        1,
        0.9458172417006356,
        0.7891405093963971,
        0.5469481581224339,
        0.2454854871408098,
        -0.0825793454723329,
        -0.4016954246529676,
        -0.6772815716257377,
        -0.8794737512064856,
        -0.9863613034027208,
        -0.9863613034027233,
        -0.879473751206493,
        -0.6772815716257438,
        -0.4016954246529752,
        -0.08257934547233411,
        0.24548548714079485,
        0.5469481581224209,
        0.7891405093963877,
        0.945817241700633,
        1,
        0.9458172417006381,
        0.7891405093964017,
        0.5469481581224281,
        0.24548548714080318,
        -0.08257934547232557,
        -0.40169542465297386,
        -0.6772815716257427,
        -0.8794737512064889,
        -0.9863613034027219,
        -0.9863613034027233,
        -0.8794737512064931,
        -0.6772815716257388,
        -0.4016954246529689,
        -0.08257934547233435,
        0.24548548714079463,
        0.5469481581224208,
        0.7891405093963875,
        0.9458172417006306,
        1,
        0.9458172417006359,
        0.7891405093963975,
        0.5469481581224342,
        0.2454854871408103,
        -0.08257934547231824,
        -0.40169542465296715,
        -0.6772815716257372,
        -0.8794737512064853,
        -0.9863613034027207,
        -0.9863613034027245,
        -0.8794737512064965,
        -0.6772815716257441,
        -0.40169542465297564,
        -0.08257934547234168,
        0.2454854871407875,
        0.5469481581224146,
        0.789140509396383,
        0.9458172417006329,
        1,
        0.9458172417006382,
        0.7891405093964019,
        0.5469481581224286,
        0.24548548714080365,
        -0.08257934547232508,
        -0.4016954246529734,
        -0.6772815716257423,
        -0.8794737512064886,
        -0.9863613034027218,
        -0.9863613034027234,
        -0.8794737512064933,
    ],
    20: [
        1,
        0.9510565162951536,
        0.8090169943749475,
        0.5877852522924732,
        0.3090169943749475,
        1.2246467991473532e-16,
        -0.30901699437494773,
        -0.5877852522924734,
        -0.8090169943749473,
        -0.9510565162951535,
        -1,
        -0.9510565162951536,
        -0.809016994374947,
        -0.5877852522924734,
        -0.3090169943749476,
        -2.4492935982947064e-16,
        0.3090169943749472,
        0.5877852522924736,
        0.8090169943749468,
        0.9510565162951538,
        1,
        0.9510565162951536,
        0.8090169943749476,
        0.5877852522924734,
        0.30901699437494606,
        3.6739403974420594e-16,
        -0.30901699437494706,
        -0.5877852522924728,
        -0.8090169943749472,
        -0.951056516295154,
        -1,
        -0.9510565162951538,
        -0.8090169943749477,
        -0.5877852522924735,
        -0.3090169943749462,
        -4.898587196589413e-16,
        0.30901699437494523,
        0.5877852522924727,
        0.8090169943749481,
        0.951056516295154,
        1,
        0.9510565162951532,
        0.8090169943749478,
        0.5877852522924736,
        0.3090169943749463,
        6.123233995736766e-16,
        -0.3090169943749485,
        -0.5877852522924726,
        -0.8090169943749481,
        -0.9510565162951534,
        -1,
        -0.9510565162951538,
        -0.8090169943749468,
        -0.5877852522924708,
        -0.3090169943749464,
        -7.347880794884119e-16,
        0.3090169943749484,
        0.5877852522924725,
        0.809016994374948,
        0.9510565162951533,
        1,
        0.9510565162951539,
        0.8090169943749469,
        0.5877852522924709,
        0.30901699437494656,
        8.572527594031472e-16,
        -0.3090169943749483,
        -0.5877852522924725,
        -0.8090169943749479,
        -0.9510565162951533,
        -1,
        -0.9510565162951539,
        -0.8090169943749469,
        -0.587785252292471,
        -0.3090169943749467,
        -9.797174393178826e-16,
        0.30901699437495156,
        0.5877852522924695,
        0.8090169943749479,
        0.9510565162951532,
        1,
        0.9510565162951539,
        0.809016994374947,
        0.5877852522924711,
        0.3090169943749468,
        1.102182119232618e-15,
        -0.3090169943749447,
        -0.5877852522924751,
        -0.8090169943749478,
        -0.9510565162951532,
        -1,
        -0.951056516295154,
        -0.8090169943749471,
        -0.5877852522924712,
        -0.3090169943749469,
        -1.2246467991473533e-15,
        0.30901699437495134,
        0.587785252292475,
        0.8090169943749498,
        0.9510565162951532,
        1,
        0.9510565162951529,
        0.809016994374945,
        0.5877852522924742,
        0.309016994374947,
        4.899825157862589e-15,
        -0.3090169943749512,
        -0.587785252292472,
        -0.8090169943749477,
        -0.9510565162951542,
        -1,
        -0.9510565162951519,
        -0.8090169943749472,
        -0.5877852522924714,
        -0.3090169943749505,
        -1.4695761589768238e-15,
        0.30901699437494773,
        0.5877852522924748,
        0.8090169943749497,
        0.9510565162951531,
        1,
        0.951056516295153,
        0.8090169943749452,
        0.5877852522924744,
        0.30901699437494723,
        -1.9606728399089416e-15,
        -0.30901699437495095,
        -0.5877852522924718,
        -0.8090169943749475,
        -0.9510565162951542,
        -1,
        -0.9510565162951519,
        -0.8090169943749473,
        -0.5877852522924716,
        -0.3090169943749507,
        -1.7145055188062944e-15,
        0.30901699437494745,
        0.5877852522924746,
        0.8090169943749496,
        0.951056516295153,
        1,
        0.951056516295153,
        0.8090169943749453,
        0.5877852522924746,
        0.30901699437494745,
        5.3896838775215305e-15,
        -0.3090169943749507,
        -0.5877852522924716,
        -0.8090169943749473,
        -0.9510565162951541,
        -1,
        -0.951056516295152,
        -0.8090169943749475,
        -0.5877852522924718,
        -0.30901699437495095,
        -1.959434878635765e-15,
        0.30901699437494723,
        0.5877852522924801,
        0.8090169943749493,
        0.9510565162951508,
        1,
        0.9510565162951531,
        0.8090169943749497,
        0.5877852522924748,
        0.30901699437494096,
        -1.4708141202500005e-15,
        -0.3090169943749505,
        -0.5877852522924715,
        -0.8090169943749472,
        -0.951056516295154,
        -1,
        -0.9510565162951521,
        -0.8090169943749518,
        -0.587785252292472,
        -0.30901699437494445,
        -2.204364238465236e-15,
        0.309016994374947,
        0.5877852522924685,
        0.8090169943749492,
        0.9510565162951551,
        1,
        0.9510565162951532,
        0.8090169943749498,
        0.587785252292475,
        0.3090169943749412,
        5.879542597180472e-15,
        -0.3090169943749503,
        -0.5877852522924712,
        -0.8090169943749471,
        -0.951056516295154,
        -1,
        -0.9510565162951521,
        -0.8090169943749437,
        -0.5877852522924722,
        -0.3090169943749447,
        -2.4492935982947065e-15,
        0.3090169943749468,
        0.5877852522924798,
        0.8090169943749491,
        0.951056516295155,
        1,
        0.9510565162951511,
        0.8090169943749416,
        0.5877852522924751,
        0.3090169943749482,
        -9.809554005910593e-16,
        -0.30901699437495006,
        -0.5877852522924768,
        -0.8090169943749511,
        -0.9510565162951561,
        -1,
        -0.9510565162951544,
        -0.8090169943749396,
        -0.5877852522924725,
        -0.3090169943749449,
        -9.799650315725178e-15,
        0.3090169943749533,
        0.5877852522924796,
        0.8090169943749448,
        0.9510565162951528,
        1,
        0.9510565162951533,
        0.8090169943749459,
        0.5877852522924696,
        0.3090169943749416,
        6.369401316839413e-15,
        -0.30901699437494307,
        -0.5877852522924824,
        -0.8090169943749468,
        -0.9510565162951538,
        -1,
        -0.9510565162951523,
        -0.8090169943749439,
        -0.5877852522924784,
        -0.3090169943749384,
        -2.9391523179536475e-15,
        0.3090169943749463,
        0.5877852522924736,
        0.8090169943749488,
        0.9510565162951549,
    ],
    21: [
        1,
        0.9555728057861408,
        0.8262387743159948,
        0.6234898018587336,
        0.36534102436639526,
        0.07473009358642467,
        -0.22252093395631428,
        -0.4999999999999994,
        -0.733051871829826,
        -0.900968867902419,
        -0.9888308262251284,
        -0.9888308262251286,
        -0.9009688679024193,
        -0.7330518718298262,
        -0.5000000000000004,
        -0.2225209339563155,
        0.07473009358642342,
        0.3653410243663945,
        0.6234898018587334,
        0.8262387743159944,
        0.9555728057861406,
        1,
        0.955572805786141,
        0.8262387743159957,
        0.6234898018587338,
        0.3653410243663959,
        0.07473009358642403,
        -0.22252093395631403,
        -0.49999999999999917,
        -0.7330518718298265,
        -0.9009688679024181,
        -0.9888308262251284,
        -0.9888308262251287,
        -0.9009688679024194,
        -0.733051871829827,
        -0.5000000000000014,
        -0.22252093395631486,
        0.07473009358642317,
        0.36534102436639343,
        0.6234898018587317,
        0.8262387743159942,
        0.9555728057861408,
        1,
        0.9555728057861411,
        0.8262387743159969,
        0.623489801858734,
        0.3653410243663961,
        0.07473009358642427,
        -0.2225209339563138,
        -0.49999999999999895,
        -0.7330518718298263,
        -0.900968867902418,
        -0.9888308262251284,
        -0.9888308262251285,
        -0.9009688679024203,
        -0.7330518718298272,
        -0.5000000000000001,
        -0.22252093395631684,
        0.07473009358642292,
        0.36534102436639154,
        0.6234898018587316,
        0.8262387743159941,
        0.9555728057861397,
        1,
        0.9555728057861411,
        0.826238774315997,
        0.6234898018587356,
        0.36534102436639637,
        0.07473009358642452,
        -0.22252093395631184,
        -0.4999999999999987,
        -0.7330518718298261,
        -0.9009688679024179,
        -0.9888308262251283,
        -0.9888308262251286,
        -0.9009688679024203,
        -0.7330518718298298,
        -0.5000000000000003,
        -0.22252093395631709,
        0.07473009358642269,
        0.3653410243663913,
        0.6234898018587314,
        0.826238774315996,
        0.9555728057861406,
        1,
        0.9555728057861412,
        0.8262387743159971,
        0.6234898018587358,
        0.36534102436639987,
        0.07473009358642475,
        -0.2225209339563116,
        -0.4999999999999985,
        -0.7330518718298236,
        -0.9009688679024163,
        -0.9888308262251283,
        -0.9888308262251286,
        -0.9009688679024204,
        -0.73305187182983,
        -0.5000000000000036,
        -0.22252093395631387,
        0.07473009358642244,
        0.3653410243663911,
        0.6234898018587284,
        0.8262387743159938,
        0.9555728057861416,
        1,
        0.9555728057861412,
        0.8262387743159972,
        0.6234898018587387,
        0.3653410243664034,
        0.07473009358642854,
        -0.2225209339563148,
        -0.49999999999999833,
        -0.7330518718298233,
        -0.9009688679024163,
        -0.9888308262251283,
        -0.9888308262251292,
        -0.9009688679024189,
        -0.7330518718298277,
        -0.5000000000000038,
        -0.22252093395632103,
        0.0747300935864222,
        0.3653410243663909,
        0.6234898018587282,
        0.8262387743159937,
        0.9555728057861395,
        1,
        0.9555728057861413,
        0.8262387743159975,
        0.6234898018587389,
        0.36534102436640364,
        0.07473009358642879,
        -0.2225209339563146,
        -0.4999999999999981,
        -0.7330518718298232,
        -0.9009688679024161,
        -0.9888308262251282,
        -0.9888308262251292,
        -0.900968867902419,
        -0.7330518718298279,
        -0.500000000000004,
        -0.22252093395632128,
        0.07473009358642195,
        0.36534102436639065,
        0.623489801858728,
        0.8262387743159936,
        0.9555728057861393,
        1,
        0.9555728057861415,
        0.8262387743159976,
        0.6234898018587391,
        0.36534102436640387,
        0.07473009358642904,
        -0.22252093395631434,
        -0.4999999999999979,
        -0.7330518718298231,
        -0.900968867902416,
        -0.9888308262251271,
        -0.9888308262251293,
        -0.9009688679024191,
        -0.733051871829828,
        -0.5000000000000042,
        -0.2225209339563215,
        0.07473009358642879,
        0.36534102436639704,
        0.6234898018587334,
        0.8262387743159935,
        0.9555728057861413,
        1,
        0.9555728057861415,
        0.8262387743159977,
        0.6234898018587393,
        0.3653410243664041,
        0.07473009358642928,
        -0.22252093395630718,
        -0.4999999999999915,
        -0.733051871829818,
        -0.9009688679024189,
        -0.9888308262251282,
        -0.9888308262251293,
        -0.9009688679024193,
        -0.7330518718298282,
        -0.5000000000000044,
        -0.22252093395632175,
        0.07473009358641437,
        0.3653410243663836,
        0.6234898018587276,
        0.8262387743159932,
        0.9555728057861412,
        1,
        0.9555728057861416,
        0.8262387743159978,
        0.6234898018587395,
        0.3653410243664043,
        0.07473009358642953,
        -0.22252093395630693,
        -0.4999999999999913,
        -0.7330518718298179,
        -0.9009688679024189,
        -0.9888308262251281,
        -0.9888308262251293,
        -0.9009688679024194,
        -0.7330518718298283,
        -0.5000000000000047,
        -0.22252093395632197,
        0.07473009358641414,
        0.3653410243663833,
        0.6234898018587274,
        0.8262387743159931,
        0.9555728057861391,
        1,
        0.9555728057861438,
        0.8262387743159939,
        0.6234898018587341,
        0.3653410243663979,
        0.07473009358642976,
        -0.2225209339563067,
        -0.4999999999999911,
        -0.7330518718298177,
        -0.9009688679024188,
        -0.9888308262251281,
        -0.9888308262251294,
        -0.9009688679024226,
        -0.7330518718298333,
        -0.500000000000011,
        -0.22252093395631528,
        0.07473009358642098,
        0.3653410243663897,
        0.6234898018587273,
        0.826238774315989,
        0.9555728057861411,
        1,
        0.9555728057861417,
        0.8262387743159981,
        0.6234898018587399,
        0.3653410243664048,
        0.0747300935864371,
        -0.22252093395629952,
        -0.49999999999999706,
        -0.7330518718298223,
    ],
    22: [
        1,
        0.9594929736144974,
        0.8412535328311811,
        0.6548607339452852,
        0.4154150130018863,
        0.14231483827328517,
        -0.14231483827328492,
        -0.4154150130018861,
        -0.654860733945285,
        -0.8412535328311813,
        -0.9594929736144974,
        -1,
        -0.9594929736144975,
        -0.841253532831181,
        -0.6548607339452857,
        -0.41541501300188644,
        -0.1423148382732853,
        0.1423148382732848,
        0.41541501300188677,
        0.6548607339452852,
        0.8412535328311812,
        0.9594929736144974,
        1,
        0.9594929736144975,
        0.8412535328311815,
        0.6548607339452843,
        0.4154150130018857,
        0.14231483827328453,
        -0.1423148382732838,
        -0.41541501300188505,
        -0.6548607339452851,
        -0.8412535328311811,
        -0.9594929736144974,
        -1,
        -0.9594929736144976,
        -0.8412535328311807,
        -0.6548607339452844,
        -0.4154150130018858,
        -0.14231483827328467,
        0.1423148382732837,
        0.41541501300188655,
        0.654860733945285,
        0.8412535328311811,
        0.9594929736144973,
        1,
        0.9594929736144976,
        0.8412535328311816,
        0.6548607339452859,
        0.41541501300188755,
        0.14231483827328478,
        -0.14231483827328534,
        -0.41541501300188804,
        -0.654860733945285,
        -0.841253532831182,
        -0.9594929736144973,
        -1,
        -0.9594929736144976,
        -0.8412535328311826,
        -0.654860733945286,
        -0.41541501300188605,
        -0.14231483827328315,
        0.1423148382732852,
        0.41541501300188793,
        0.6548607339452849,
        0.8412535328311819,
        0.9594929736144973,
        1,
        0.9594929736144977,
        0.8412535328311828,
        0.6548607339452861,
        0.41541501300188616,
        0.14231483827328326,
        -0.1423148382732851,
        -0.4154150130018878,
        -0.6548607339452848,
        -0.8412535328311818,
        -0.9594929736144971,
        -1,
        -0.9594929736144977,
        -0.8412535328311828,
        -0.6548607339452834,
        -0.41541501300188627,
        -0.1423148382732834,
        0.14231483827328847,
        0.4154150130018877,
        0.654860733945282,
        0.8412535328311818,
        0.9594929736144981,
        1,
        0.9594929736144967,
        0.8412535328311829,
        0.6548607339452835,
        0.4154150130018896,
        0.1423148382732835,
        -0.1423148382732813,
        -0.4154150130018876,
        -0.6548607339452819,
        -0.8412535328311816,
        -0.9594929736144981,
        -1,
        -0.9594929736144968,
        -0.841253532831183,
        -0.6548607339452837,
        -0.4154150130018897,
        -0.14231483827328362,
        0.1423148382732812,
        0.4154150130018875,
        0.6548607339452872,
        0.8412535328311797,
        0.959492973614497,
        1,
        0.9594929736144968,
        0.841253532831183,
        0.6548607339452864,
        0.4154150130018866,
        0.14231483827328376,
        -0.1423148382732811,
        -0.41541501300188416,
        -0.6548607339452844,
        -0.8412535328311815,
        -0.959492973614498,
        -1,
        -0.9594929736144978,
        -0.8412535328311812,
        -0.6548607339452839,
        -0.41541501300188993,
        -0.1423148382732874,
        0.14231483827328448,
        0.41541501300188727,
        0.654860733945287,
        0.8412535328311795,
        0.959492973614497,
        1,
        0.9594929736144968,
        0.8412535328311832,
        0.6548607339452867,
        0.4154150130018868,
        0.142314838273284,
        -0.14231483827328084,
        -0.41541501300188394,
        -0.6548607339452842,
        -0.8412535328311814,
        -0.9594929736144979,
        -1,
        -0.9594929736144979,
        -0.8412535328311813,
        -0.654860733945284,
        -0.41541501300189015,
        -0.14231483827328764,
        0.14231483827328423,
        0.41541501300188705,
        0.6548607339452868,
        0.8412535328311794,
        0.9594929736144969,
        1,
        0.9594929736144969,
        0.8412535328311833,
        0.6548607339452868,
        0.41541501300188705,
        0.14231483827328423,
        -0.14231483827328764,
        -0.4154150130018837,
        -0.654860733945284,
        -0.8412535328311813,
        -0.9594929736144979,
        -1,
        -0.9594929736144979,
        -0.8412535328311814,
        -0.6548607339452842,
        -0.4154150130018904,
        -0.14231483827328786,
        0.142314838273284,
        0.4154150130018868,
        0.6548607339452812,
        0.8412535328311832,
        0.9594929736144968,
        1,
        0.959492973614499,
        0.8412535328311795,
        0.654860733945287,
        0.41541501300188727,
        0.1423148382732915,
        -0.1423148382732874,
        -0.4154150130018835,
        -0.6548607339452839,
        -0.841253532831185,
        -0.9594929736144978,
        -1,
        -0.959492973614498,
        -0.8412535328311778,
        -0.6548607339452844,
        -0.4154150130018906,
        -0.1423148382732881,
        0.14231483827328376,
        0.4154150130018866,
        0.6548607339452811,
        0.841253532831183,
        0.9594929736144968,
        1,
        0.959492973614499,
        0.8412535328311797,
        0.6548607339452872,
        0.4154150130018875,
        0.14231483827327768,
        -0.14231483827328714,
        -0.41541501300188327,
        -0.6548607339452837,
        -0.8412535328311849,
        -0.9594929736144978,
        -1,
        -0.9594929736144981,
        -0.8412535328311779,
        -0.6548607339452845,
        -0.4154150130018908,
        -0.1423148382732813,
        0.1423148382732835,
        0.4154150130018864,
        0.6548607339452809,
        0.8412535328311829,
        0.9594929736144987,
        1,
        0.9594929736144991,
        0.841253532831176,
        0.6548607339452873,
        0.4154150130018877,
        0.14231483827328498,
        -0.1423148382732869,
        -0.4154150130018895,
        -0.6548607339452781,
        -0.8412535328311848,
        -0.9594929736144957,
        -1,
        -0.9594929736144981,
        -0.8412535328311818,
        -0.6548607339452848,
        -0.4154150130018846,
        -0.14231483827328156,
        0.1423148382732903,
        0.4154150130018797,
        0.6548607339452807,
    ],
    23: [
        1,
        0.9629172873477994,
        0.8544194045464887,
        0.6825531432186541,
        0.46006503773115226,
        0.20345601305263403,
        -0.06824241336467105,
        -0.3348796121709861,
        -0.576680322114867,
        -0.7757112907044196,
        -0.9172113015054528,
        -0.9906859460363308,
        -0.9906859460363309,
        -0.9172113015054534,
        -0.7757112907044198,
        -0.5766803221148673,
        -0.33487961217098644,
        -0.0682424133646714,
        0.20345601305263325,
        0.4600650377311523,
        0.6825531432186535,
        0.8544194045464886,
        0.9629172873477992,
        1,
        0.9629172873477997,
        0.8544194045464888,
        0.6825531432186552,
        0.46006503773115287,
        0.20345601305263383,
        -0.06824241336467168,
        -0.3348796121709859,
        -0.5766803221148661,
        -0.7757112907044195,
        -0.9172113015054524,
        -0.9906859460363306,
        -0.990685946036331,
        -0.9172113015054535,
        -0.77571129070442,
        -0.5766803221148668,
        -0.33487961217098666,
        -0.06824241336467254,
        0.203456013052633,
        0.4600650377311521,
        0.6825531432186533,
        0.8544194045464883,
        0.9629172873477989,
        1,
        0.9629172873477997,
        0.854419404546489,
        0.6825531432186541,
        0.46006503773115304,
        0.20345601305263408,
        -0.06824241336466967,
        -0.3348796121709856,
        -0.5766803221148644,
        -0.7757112907044181,
        -0.9172113015054537,
        -0.9906859460363306,
        -0.9906859460363308,
        -0.9172113015054543,
        -0.775711290704419,
        -0.5766803221148684,
        -0.3348796121709869,
        -0.06824241336467456,
        0.20345601305263103,
        0.4600650377311534,
        0.6825531432186531,
        0.8544194045464882,
        0.9629172873477984,
        1,
        0.9629172873477998,
        0.8544194045464891,
        0.6825531432186569,
        0.46006503773115487,
        0.20345601305263258,
        -0.06824241336466942,
        -0.3348796121709854,
        -0.5766803221148642,
        -0.775711290704418,
        -0.9172113015054522,
        -0.9906859460363305,
        -0.9906859460363309,
        -0.9172113015054544,
        -0.7757112907044192,
        -0.5766803221148686,
        -0.33487961217098716,
        -0.0682424133646748,
        0.20345601305263078,
        0.4600650377311532,
        0.6825531432186556,
        0.8544194045464863,
        0.9629172873477984,
        1,
        0.9629172873477989,
        0.8544194045464911,
        0.682553143218657,
        0.4600650377311551,
        0.20345601305263283,
        -0.06824241336467272,
        -0.33487961217098183,
        -0.576680322114864,
        -0.7757112907044179,
        -0.9172113015054535,
        -0.9906859460363301,
        -0.9906859460363313,
        -0.9172113015054545,
        -0.7757112907044194,
        -0.5766803221148659,
        -0.3348796121709907,
        -0.06824241336467504,
        0.20345601305263053,
        0.46006503773115304,
        0.6825531432186553,
        0.854419404546488,
        0.9629172873477982,
        1,
        0.9629172873477999,
        0.8544194045464912,
        0.6825531432186547,
        0.4600650377311553,
        0.20345601305263306,
        -0.06824241336466894,
        -0.3348796121709816,
        -0.5766803221148668,
        -0.7757112907044177,
        -0.9172113015054534,
        -0.9906859460363305,
        -0.9906859460363314,
        -0.9172113015054532,
        -0.7757112907044217,
        -0.5766803221148661,
        -0.3348796121709876,
        -0.06824241336467529,
        0.20345601305263378,
        0.46006503773114965,
        0.68255314321865,
        0.8544194045464879,
        0.9629172873477982,
        1,
        0.9629172873478,
        0.8544194045464913,
        0.6825531432186548,
        0.46006503773115554,
        0.2034560130526333,
        -0.06824241336466869,
        -0.3348796121709814,
        -0.5766803221148665,
        -0.7757112907044176,
        -0.9172113015054533,
        -0.9906859460363304,
        -0.9906859460363314,
        -0.9172113015054533,
        -0.7757112907044219,
        -0.5766803221148663,
        -0.33487961217098783,
        -0.06824241336467554,
        0.20345601305263353,
        0.46006503773114943,
        0.6825531432186498,
        0.8544194045464878,
        0.9629172873477981,
        1,
        0.9629172873478,
        0.8544194045464915,
        0.682553143218655,
        0.4600650377311557,
        0.20345601305263353,
        -0.06824241336466845,
        -0.3348796121709811,
        -0.5766803221148663,
        -0.7757112907044175,
        -0.9172113015054533,
        -0.9906859460363304,
        -0.9906859460363314,
        -0.9172113015054533,
        -0.775711290704422,
        -0.5766803221148665,
        -0.33487961217098805,
        -0.06824241336467578,
        0.2034560130526333,
        0.4600650377311492,
        0.6825531432186548,
        0.8544194045464877,
        0.9629172873477961,
        1,
        0.9629172873478001,
        0.8544194045464879,
        0.6825531432186552,
        0.46006503773116225,
        0.20345601305263378,
        -0.0682424133646682,
        -0.3348796121709876,
        -0.5766803221148661,
        -0.7757112907044128,
        -0.9172113015054532,
        -0.9906859460363304,
        -0.9906859460363305,
        -0.9172113015054534,
        -0.7757112907044267,
        -0.5766803221148668,
        -0.3348796121709883,
        -0.06824241336466894,
        0.20345601305263306,
        0.460065037731149,
        0.6825531432186547,
        0.8544194045464876,
        0.962917287347796,
        1,
        0.9629172873478001,
        0.854419404546488,
        0.6825531432186553,
        0.4600650377311625,
        0.20345601305263403,
        -0.06824241336466796,
        -0.3348796121709874,
        -0.5766803221148659,
        -0.7757112907044126,
        -0.917211301505453,
        -0.9906859460363304,
        -0.9906859460363305,
        -0.9172113015054535,
        -0.7757112907044268,
        -0.5766803221148669,
        -0.3348796121709885,
        -0.06824241336466919,
        0.20345601305263283,
        0.46006503773114876,
        0.6825531432186545,
        0.8544194045464873,
        0.9629172873477979,
        1,
        0.9629172873478021,
        0.8544194045464881,
        0.6825531432186556,
        0.46006503773115637,
        0.20345601305264122,
        -0.06824241336466062,
        -0.33487961217098716,
        -0.5766803221148658,
        -0.7757112907044169,
    ],
    24: [
        1,
        0.9659258262890683,
        0.8660254037844387,
        0.7071067811865476,
        0.5000000000000003,
        0.258819045102521,
        1.2246467991473532e-16,
        -0.25881904510252035,
        -0.4999999999999994,
        -0.7071067811865475,
        -0.8660254037844385,
        -0.9659258262890681,
        -1,
        -0.9659258262890684,
        -0.866025403784439,
        -0.7071067811865477,
        -0.5000000000000004,
        -0.25881904510252157,
        -2.4492935982947064e-16,
        0.25881904510251935,
        0.4999999999999993,
        0.7071067811865474,
        0.8660254037844379,
        0.9659258262890681,
        1,
        0.9659258262890684,
        0.8660254037844392,
        0.7071067811865483,
        0.5000000000000013,
        0.2588190451025208,
        3.6739403974420594e-16,
        -0.25881904510252013,
        -0.49999999999999917,
        -0.7071067811865479,
        -0.8660254037844378,
        -0.9659258262890682,
        -1,
        -0.9659258262890684,
        -0.8660254037844392,
        -0.7071067811865485,
        -0.5000000000000014,
        -0.25881904510252096,
        -4.898587196589413e-16,
        0.25881904510252,
        0.4999999999999975,
        0.7071067811865478,
        0.8660254037844378,
        0.9659258262890678,
        1,
        0.9659258262890685,
        0.8660254037844402,
        0.7071067811865486,
        0.5000000000000016,
        0.2588190451025228,
        6.123233995736766e-16,
        -0.25881904510251985,
        -0.49999999999999895,
        -0.7071067811865477,
        -0.8660254037844377,
        -0.9659258262890673,
        -1,
        -0.9659258262890685,
        -0.8660254037844402,
        -0.7071067811865487,
        -0.5000000000000001,
        -0.2588190451025229,
        -7.347880794884119e-16,
        0.258819045102518,
        0.49999999999999883,
        0.7071067811865477,
        0.8660254037844377,
        0.9659258262890672,
        1,
        0.9659258262890685,
        0.8660254037844403,
        0.7071067811865488,
        0.5000000000000002,
        0.258819045102523,
        8.572527594031472e-16,
        -0.2588190451025179,
        -0.4999999999999987,
        -0.7071067811865476,
        -0.8660254037844376,
        -0.9659258262890672,
        -1,
        -0.9659258262890686,
        -0.8660254037844403,
        -0.7071067811865488,
        -0.5000000000000003,
        -0.2588190451025231,
        -9.797174393178826e-16,
        0.2588190451025178,
        0.4999999999999986,
        0.7071067811865475,
        0.8660254037844357,
        0.9659258262890672,
        1,
        0.9659258262890695,
        0.8660254037844404,
        0.7071067811865489,
        0.5000000000000036,
        0.25881904510252324,
        1.102182119232618e-15,
        -0.2588190451025177,
        -0.4999999999999985,
        -0.7071067811865474,
        -0.8660254037844357,
        -0.9659258262890671,
        -1,
        -0.9659258262890695,
        -0.8660254037844404,
        -0.707106781186549,
        -0.5000000000000036,
        -0.25881904510252335,
        -1.2246467991473533e-15,
        0.2588190451025176,
        0.4999999999999984,
        0.7071067811865448,
        0.8660254037844374,
        0.965925826289068,
        1,
        0.9659258262890696,
        0.8660254037844405,
        0.7071067811865491,
        0.5000000000000068,
        0.2588190451025269,
        4.899825157862589e-15,
        -0.25881904510251746,
        -0.49999999999999833,
        -0.7071067811865471,
        -0.8660254037844356,
        -0.9659258262890671,
        -1,
        -0.9659258262890688,
        -0.8660254037844388,
        -0.7071067811865467,
        -0.5000000000000038,
        -0.2588190451025236,
        -1.4695761589768238e-15,
        0.2588190451025139,
        0.4999999999999951,
        0.7071067811865446,
        0.8660254037844373,
        0.965925826289068,
        1,
        0.9659258262890696,
        0.8660254037844406,
        0.7071067811865492,
        0.500000000000007,
        0.2588190451025272,
        -1.9606728399089416e-15,
        -0.2588190451025172,
        -0.4999999999999981,
        -0.707106781186547,
        -0.8660254037844355,
        -0.965925826289067,
        -1,
        -0.9659258262890688,
        -0.8660254037844389,
        -0.7071067811865468,
        -0.500000000000004,
        -0.25881904510252385,
        -1.7145055188062944e-15,
        0.2588190451025137,
        0.4999999999999949,
        0.7071067811865444,
        0.8660254037844372,
        0.9659258262890679,
        1,
        0.9659258262890698,
        0.8660254037844407,
        0.7071067811865495,
        0.5000000000000072,
        0.2588190451025274,
        5.3896838775215305e-15,
        -0.25881904510251696,
        -0.4999999999999979,
        -0.7071067811865468,
        -0.8660254037844354,
        -0.965925826289067,
        -1,
        -0.9659258262890689,
        -0.866025403784439,
        -0.707106781186547,
        -0.5000000000000042,
        -0.25881904510252407,
        -1.959434878635765e-15,
        0.2588190451025134,
        0.49999999999999467,
        0.7071067811865442,
        0.866025403784437,
        0.965925826289066,
        1,
        0.9659258262890698,
        0.8660254037844444,
        0.7071067811865496,
        0.5000000000000074,
        0.2588190451025276,
        -1.4708141202500005e-15,
        -0.25881904510251674,
        -0.4999999999999915,
        -0.7071067811865467,
        -0.8660254037844353,
        -0.9659258262890651,
        -1,
        -0.9659258262890689,
        -0.8660254037844427,
        -0.7071067811865471,
        -0.5000000000000044,
        -0.2588190451025312,
        -2.204364238465236e-15,
        0.2588190451025132,
        0.4999999999999945,
        0.707106781186544,
        0.8660254037844369,
        0.965925826289066,
        1,
        0.9659258262890699,
        0.8660254037844445,
        0.7071067811865498,
        0.5000000000000077,
        0.25881904510252784,
        5.879542597180472e-15,
        -0.2588190451025165,
        -0.4999999999999913,
        -0.7071067811865465,
        -0.8660254037844352,
        -0.965925826289065,
        -1,
        -0.965925826289069,
        -0.8660254037844428,
        -0.7071067811865474,
        -0.5000000000000047,
        -0.2588190451025314,
        -2.4492935982947065e-15,
        0.25881904510251297,
        0.4999999999999943,
        0.7071067811865439,
        0.8660254037844368,
        0.965925826289064,
    ],
    25: [
        1,
        0.9685831611286312,
        0.8763066800438635,
        0.7289686274214114,
        0.5358267949789967,
        0.3090169943749475,
        0.06279051952931358,
        -0.18738131458572477,
        -0.42577929156507266,
        -0.6374239897486896,
        -0.8090169943749473,
        -0.9297764858882511,
        -0.9921147013144778,
        -0.9921147013144779,
        -0.9297764858882512,
        -0.8090169943749476,
        -0.6374239897486896,
        -0.4257792915650722,
        -0.18738131458572468,
        0.06279051952931278,
        0.3090169943749472,
        0.535826794978996,
        0.7289686274214106,
        0.8763066800438631,
        0.968583161128631,
        1,
        0.9685831611286311,
        0.8763066800438634,
        0.728968627421411,
        0.5358267949789972,
        0.3090169943749478,
        0.06279051952931339,
        -0.18738131458572496,
        -0.42577929156507327,
        -0.6374239897486905,
        -0.8090169943749472,
        -0.9297764858882513,
        -0.9921147013144779,
        -0.992114701314478,
        -0.9297764858882517,
        -0.8090169943749477,
        -0.6374239897486897,
        -0.42577929156507405,
        -0.1873813145857258,
        0.06279051952931075,
        0.30901699437494523,
        0.535826794978995,
        0.7289686274214104,
        0.876306680043863,
        0.9685831611286309,
        1,
        0.9685831611286312,
        0.8763066800438636,
        0.7289686274214111,
        0.5358267949789959,
        0.3090169943749463,
        0.06279051952931186,
        -0.1873813145857247,
        -0.42577929156506983,
        -0.637423989748689,
        -0.809016994374946,
        -0.9297764858882513,
        -0.9921147013144777,
        -0.9921147013144778,
        -0.9297764858882518,
        -0.8090169943749468,
        -0.63742398974869,
        -0.42577929156507105,
        -0.1873813145857243,
        0.06279051952931583,
        0.3090169943749484,
        0.5358267949789963,
        0.7289686274214102,
        0.8763066800438637,
        0.9685831611286309,
        1,
        0.9685831611286312,
        0.8763066800438645,
        0.7289686274214113,
        0.5358267949789977,
        0.30901699437494656,
        0.06279051952931387,
        -0.1873813145857262,
        -0.4257792915650728,
        -0.6374239897486887,
        -0.8090169943749459,
        -0.9297764858882512,
        -0.9921147013144775,
        -0.9921147013144778,
        -0.9297764858882519,
        -0.8090169943749469,
        -0.6374239897486902,
        -0.42577929156507127,
        -0.18738131458572455,
        0.06279051952931204,
        0.30901699437495156,
        0.5358267949789961,
        0.7289686274214101,
        0.8763066800438636,
        0.9685831611286307,
        1,
        0.9685831611286313,
        0.8763066800438646,
        0.7289686274214116,
        0.5358267949789979,
        0.3090169943749468,
        0.06279051952931412,
        -0.187381314585726,
        -0.4257792915650726,
        -0.6374239897486913,
        -0.8090169943749478,
        -0.9297764858882525,
        -0.992114701314478,
        -0.9921147013144774,
        -0.9297764858882507,
        -0.8090169943749471,
        -0.6374239897486931,
        -0.4257792915650747,
        -0.18738131458572826,
        0.06279051952931179,
        0.30901699437494456,
        0.5358267949789959,
        0.72896862742141,
        0.8763066800438618,
        0.9685831611286316,
        1,
        0.9685831611286313,
        0.8763066800438647,
        0.7289686274214141,
        0.535826794978995,
        0.309016994374947,
        0.06279051952931436,
        -0.18738131458572224,
        -0.4257792915650756,
        -0.6374239897486911,
        -0.8090169943749477,
        -0.929776485888251,
        -0.9921147013144784,
        -0.9921147013144774,
        -0.9297764858882508,
        -0.8090169943749472,
        -0.6374239897486905,
        -0.42577929156507494,
        -0.18738131458572851,
        0.062790519529308,
        0.30901699437494773,
        0.5358267949789957,
        0.7289686274214098,
        0.8763066800438617,
        0.9685831611286315,
        1,
        0.9685831611286314,
        0.8763066800438648,
        0.7289686274214142,
        0.5358267949789952,
        0.30901699437494723,
        0.06279051952931461,
        -0.18738131458572202,
        -0.4257792915650754,
        -0.637423989748691,
        -0.8090169943749475,
        -0.9297764858882509,
        -0.9921147013144784,
        -0.9921147013144774,
        -0.9297764858882508,
        -0.8090169943749473,
        -0.6374239897486907,
        -0.42577929156507516,
        -0.18738131458572876,
        0.06279051952930777,
        0.30901699437494745,
        0.5358267949789954,
        0.7289686274214096,
        0.8763066800438616,
        0.9685831611286315,
        1,
        0.9685831611286315,
        0.8763066800438649,
        0.7289686274214144,
        0.5358267949789954,
        0.30901699437494745,
        0.06279051952931486,
        -0.18738131458572177,
        -0.42577929156507516,
        -0.6374239897486907,
        -0.8090169943749473,
        -0.9297764858882508,
        -0.9921147013144783,
        -0.9921147013144775,
        -0.9297764858882509,
        -0.8090169943749475,
        -0.637423989748691,
        -0.4257792915650754,
        -0.187381314585729,
        0.06279051952930752,
        0.30901699437494723,
        0.5358267949789952,
        0.7289686274214046,
        0.8763066800438614,
        0.9685831611286314,
        1,
        0.9685831611286297,
        0.8763066800438651,
        0.7289686274214098,
        0.5358267949789957,
        0.30901699437495445,
        0.0627905195293151,
        -0.18738131458572152,
        -0.42577929156507494,
        -0.6374239897486851,
        -0.8090169943749472,
        -0.9297764858882508,
        -0.9921147013144783,
        -0.9921147013144784,
        -0.929776485888251,
        -0.8090169943749518,
        -0.6374239897486911,
        -0.4257792915650756,
        -0.18738131458572224,
        0.06279051952930727,
        0.309016994374947,
        0.535826794978995,
        0.7289686274214141,
        0.8763066800438613,
        0.9685831611286313,
        1,
        0.9685831611286299,
        0.8763066800438652,
        0.72896862742141,
        0.5358267949789959,
        0.3090169943749412,
        0.06279051952931534,
        -0.1873813145857213,
        -0.4257792915650747,
        -0.6374239897486849,
        -0.8090169943749471,
        -0.9297764858882507,
        -0.9921147013144783,
        -0.9921147013144784,
        -0.9297764858882511,
    ],
    26: [
        1,
        0.9709418174260521,
        0.8854560256532099,
        0.748510748171101,
        0.5680647467311558,
        0.35460488704253584,
        0.12053668025532308,
        -0.12053668025532327,
        -0.3546048870425356,
        -0.5680647467311556,
        -0.7485107481711009,
        -0.88545602565321,
        -0.970941817426052,
        -1,
        -0.9709418174260519,
        -0.8854560256532098,
        -0.7485107481711011,
        -0.5680647467311559,
        -0.35460488704253595,
        -0.12053668025532276,
        0.12053668025532226,
        0.3546048870425355,
        0.5680647467311563,
        0.7485107481711007,
        0.8854560256532099,
        0.9709418174260522,
        1,
        0.9709418174260519,
        0.8854560256532095,
        0.7485107481711012,
        0.5680647467311553,
        0.35460488704253607,
        0.12053668025532287,
        -0.12053668025532391,
        -0.3546048870425354,
        -0.5680647467311561,
        -0.7485107481711006,
        -0.8854560256532099,
        -0.9709418174260522,
        -1,
        -0.970941817426052,
        -0.8854560256532095,
        -0.7485107481711012,
        -0.5680647467311554,
        -0.3546048870425345,
        -0.12053668025532299,
        0.12053668025532202,
        0.3546048870425336,
        0.568064746731156,
        0.748510748171103,
        0.8854560256532107,
        0.9709418174260521,
        1,
        0.9709418174260516,
        0.8854560256532096,
        0.7485107481711013,
        0.568064746731154,
        0.3546048870425347,
        0.12053668025532312,
        -0.1205366802553219,
        -0.3546048870425352,
        -0.5680647467311545,
        -0.7485107481711016,
        -0.8854560256532098,
        -0.9709418174260517,
        -1,
        -0.970941817426052,
        -0.8854560256532104,
        -0.7485107481711025,
        -0.5680647467311556,
        -0.35460488704253645,
        -0.120536680255325,
        0.12053668025532355,
        0.35460488704253507,
        0.5680647467311544,
        0.7485107481711016,
        0.8854560256532097,
        0.9709418174260517,
        1,
        0.970941817426052,
        0.8854560256532105,
        0.7485107481711026,
        0.5680647467311557,
        0.35460488704253657,
        0.12053668025532512,
        -0.12053668025532342,
        -0.35460488704253496,
        -0.5680647467311543,
        -0.7485107481711015,
        -0.8854560256532097,
        -0.9709418174260517,
        -1,
        -0.9709418174260521,
        -0.8854560256532106,
        -0.7485107481711027,
        -0.5680647467311558,
        -0.3546048870425367,
        -0.12053668025532524,
        0.12053668025532682,
        0.3546048870425381,
        0.5680647467311571,
        0.7485107481711014,
        0.8854560256532096,
        0.9709418174260516,
        1,
        0.9709418174260521,
        0.8854560256532089,
        0.7485107481711004,
        0.5680647467311559,
        0.3546048870425368,
        0.12053668025532537,
        -0.12053668025532317,
        -0.354604887042538,
        -0.568064746731157,
        -0.7485107481711013,
        -0.8854560256532096,
        -0.9709418174260516,
        -1,
        -0.9709418174260521,
        -0.885456025653209,
        -0.7485107481711005,
        -0.568064746731156,
        -0.3546048870425369,
        -0.12053668025532549,
        0.12053668025532305,
        0.3546048870425379,
        0.5680647467311598,
        0.7485107481711013,
        0.8854560256532111,
        0.9709418174260516,
        1,
        0.970941817426053,
        0.8854560256532074,
        0.7485107481711006,
        0.5680647467311531,
        0.354604887042537,
        0.12053668025532208,
        -0.12053668025531941,
        -0.3546048870425411,
        -0.5680647467311568,
        -0.7485107481711035,
        -0.8854560256532095,
        -0.9709418174260523,
        -1,
        -0.9709418174260522,
        -0.8854560256532091,
        -0.7485107481710983,
        -0.5680647467311561,
        -0.3546048870425338,
        -0.12053668025532573,
        0.12053668025532281,
        0.3546048870425377,
        0.5680647467311597,
        0.7485107481711011,
        0.885456025653211,
        0.9709418174260515,
        1,
        0.9709418174260513,
        0.8854560256532075,
        0.7485107481711007,
        0.5680647467311534,
        0.35460488704253723,
        0.12053668025532233,
        -0.12053668025531916,
        -0.3546048870425409,
        -0.5680647467311566,
        -0.7485107481711033,
        -0.8854560256532094,
        -0.9709418174260523,
        -1,
        -0.9709418174260506,
        -0.8854560256532092,
        -0.7485107481710985,
        -0.5680647467311564,
        -0.354604887042534,
        -0.12053668025532598,
        0.12053668025532963,
        0.35460488704253745,
        0.5680647467311595,
        0.748510748171101,
        0.8854560256532109,
        0.9709418174260515,
        1,
        0.9709418174260515,
        0.8854560256532076,
        0.748510748171101,
        0.5680647467311536,
        0.35460488704253745,
        0.12053668025532256,
        -0.12053668025532598,
        -0.3546048870425407,
        -0.5680647467311564,
        -0.7485107481711032,
        -0.8854560256532092,
        -0.9709418174260522,
        -1,
        -0.9709418174260506,
        -0.8854560256532094,
        -0.7485107481710986,
        -0.5680647467311566,
        -0.35460488704253423,
        -0.12053668025532621,
        0.12053668025532938,
        0.35460488704253723,
        0.5680647467311593,
        0.7485107481711007,
        0.8854560256532108,
        0.9709418174260513,
        1,
        0.9709418174260532,
        0.885456025653211,
        0.7485107481711057,
        0.5680647467311538,
        0.354604887042531,
        0.12053668025531576,
        -0.12053668025532573,
        -0.35460488704254045,
        -0.5680647467311563,
        -0.7485107481711031,
        -0.8854560256532091,
        -0.9709418174260522,
        -1,
        -0.9709418174260523,
        -0.8854560256532127,
        -0.7485107481710989,
        -0.5680647467311509,
        -0.35460488704253446,
        -0.1205366802553194,
        0.12053668025532914,
        0.354604887042537,
        0.568064746731159,
        0.7485107481711006,
        0.8854560256532107,
        0.9709418174260513,
        1,
        0.9709418174260532,
        0.8854560256532111,
        0.7485107481710965,
        0.568064746731154,
        0.3546048870425313,
    ],
}