{"version":3,"sources":["../../../../app/resources/vsop87/vsop87MercurySphericalDate.ts","../../../../app/resources/vsop87/vsop87MercurySphericalJ2000.ts","../../index.mercury.high-precision.ts"],"sourcesContent":["import type {Vsop87Element, Vsop87Group} from '@app/types/Vsop87Types';\n\nconst VSOP87_L0: Vsop87Element = [\n    [4.40250710144],\n    [0.40989414976, 1.48302034194, 26087.9031415742],\n    [0.05046294199, 4.4778548954, 52175.8062831484],\n    [0.00855346843, 1.16520322351, 78263.70942472259],\n    [0.00165590362, 4.11969163181, 104351.61256629678],\n    [0.00034561897, 0.77930765817, 130439.51570787099],\n    [0.00007583476, 3.7134840051, 156527.41884944518],\n    [0.0000355974, 1.51202669419, 1109.3785520934],\n    [0.00001726012, 0.35832239908, 182615.32199101939],\n    [0.00001803463, 4.1033317841, 5661.3320491522],\n    [0.00001364682, 4.59918318745, 27197.2816936676],\n    [0.00001589923, 2.99510417815, 25028.521211385],\n    [0.00001017332, 0.8803143904, 31749.2351907264],\n    [0.00000714182, 1.54144865265, 24978.5245894808],\n    [0.00000643759, 5.30266110787, 21535.9496445154],\n    [0.000004042, 3.28228847025, 208703.22513259358],\n    [0.00000352441, 5.24156297101, 20426.571092422],\n    [0.00000343313, 5.76531885335, 955.5997416086],\n    [0.00000339214, 5.86327765, 25558.2121764796],\n    [0.00000451137, 6.04989275289, 51116.4243529592],\n    [0.00000325335, 1.3367433478, 53285.1848352418],\n    [0.00000259587, 0.98732428184, 4551.9534970588],\n    [0.00000345212, 2.79211901539, 15874.6175953632],\n    [0.00000272947, 2.49451163975, 529.6909650946],\n    [0.0000023483, 0.266721189, 11322.6640983044],\n    [0.00000238793, 0.11343953378, 1059.3819301892],\n    [0.00000264336, 3.91705094013, 57837.1383323006],\n    [0.00000216645, 0.65987207348, 13521.7514415914],\n    [0.00000183359, 2.62878670784, 27043.5028831828],\n    [0.00000175965, 4.53636829858, 51066.427731055],\n    [0.00000181629, 2.43413502466, 25661.3049506982],\n    [0.00000208995, 2.09178234008, 47623.8527860896],\n    [0.00000172643, 2.45200164173, 24498.8302462904],\n    [0.00000142316, 3.36003948842, 37410.5672398786],\n    [0.00000137942, 0.29098447849, 10213.285546211],\n    [0.00000118233, 2.78149786369, 77204.32749453338],\n    [0.0000009686, 6.2039820274, 234791.12827416777],\n    [0.00000125219, 3.72079804425, 39609.6545831656],\n    [0.00000086819, 2.64219349385, 51646.11531805379],\n    [0.00000086723, 1.9595304265, 46514.4742339962],\n    [0.00000088329, 5.41338795963, 26617.5941066688],\n    [0.00000106422, 4.20572116254, 19804.8272915828],\n    [0.00000089987, 5.85243631094, 41962.5207369374],\n    [0.00000084971, 4.33100364958, 79373.08797681599],\n    [0.00000069247, 4.19446437496, 19.66976089979],\n    [0.00000063463, 3.14700877722, 7238.6755916],\n    [0.00000068493, 0.63424819267, 83925.04147387479],\n    [0.00000069729, 3.57201709671, 25132.3033999656],\n    [0.00000059481, 2.74692752, 16983.9961474566],\n    [0.0000006483, 0.0476292581, 33326.5787331742],\n    [0.00000055376, 4.05312663019, 30639.856638633],\n    [0.00000054442, 3.14331542453, 27147.28507176339],\n    [0.0000004756, 5.49722099211, 3.881335358],\n    [0.00000049567, 3.98985863874, 6770.7106012456],\n    [0.00000056531, 5.11920557675, 73711.75592766379],\n    [0.00000041764, 5.64185159566, 53131.406024757],\n    [0.00000051458, 5.47786463494, 50586.73338786459],\n    [0.00000044744, 1.22366857463, 77154.33087262919],\n    [0.00000041882, 5.19309298528, 6283.0758499914],\n    [0.00000038045, 2.43117327523, 12566.1516999828],\n    [0.00000035627, 0.81390126585, 32858.61374281979],\n    [0.00000048007, 5.49260554912, 51749.20809227239],\n    [0.00000035392, 3.36964859355, 36301.18868778519],\n    [0.00000033951, 2.78618091049, 14765.2390432698],\n    [0.0000003056, 5.84045074182, 43071.8992890308],\n    [0.00000035964, 1.4238083863, 2218.7571041868],\n    [0.00000034044, 0.47470299167, 65697.55772473979],\n    [0.000000308, 5.77017310191, 103292.23063610759],\n    [0.00000028496, 0.65048992658, 426.598190876],\n    [0.00000026215, 5.24158618719, 22645.32819660879],\n    [0.00000026253, 0.64807043102, 1589.0728952838],\n    [0.00000029538, 0.69771244088, 213.299095438],\n    [0.00000027504, 0.98010127839, 45892.73043315699],\n    [0.00000022347, 5.65335125838, 77734.01845962799],\n    [0.00000022047, 4.93398225193, 72602.37737557039],\n    [0.00000022275, 2.17909842576, 52705.49724824299],\n    [0.00000024252, 4.39994170609, 7.1135470008],\n    [0.00000026751, 1.06145361792, 3442.5749449654],\n    [0.00000023656, 2.84168536986, 260879.03141574195],\n    [0.00000022908, 2.58462026514, 68050.42387851159],\n    [0.00000027086, 0.08501738669, 63498.47038145279],\n    [0.00000022247, 3.22418265191, 25448.00585526019],\n    [0.00000017803, 3.61202297483, 110012.94461544899],\n    [0.00000022407, 1.02520094825, 105460.99111839019],\n    [0.00000017576, 4.71742326981, 25874.6040461362],\n    [0.00000018586, 4.52709871258, 28306.66024576099],\n    [0.00000014176, 6.12394176563, 53235.18821333759],\n    [0.00000014186, 5.14246797066, 26068.2333806744],\n    [0.00000017244, 0.28394746813, 51220.20654153979],\n    [0.00000017176, 3.26084092971, 153.7788104848],\n    [0.00000014938, 1.83542009339, 99799.65906923798],\n    [0.00000013387, 0.76564655407, 56727.7597802072],\n    [0.00000013978, 2.30193139916, 76674.63652943878],\n    [0.00000014428, 0.96646356501, 26107.57290247399],\n    [0.0000001199, 6.20492907598, 18849.2275499742],\n    [0.00000014381, 1.90956715654, 23969.1392811958],\n    [0.00000011233, 2.04817126136, 32370.9789915656],\n    [0.00000013392, 4.51750784605, 26080.78959457339],\n    [0.00000011632, 2.3849686026, 79219.30916633119],\n    [0.00000012412, 2.22280944169, 77837.11123384659],\n    [0.0000000995, 2.0459444888, 48733.23133818299],\n    [0.00000009803, 2.26706433546, 26091.7844769322],\n    [0.00000009362, 5.44291958209, 38654.05484155699],\n    [0.00000009747, 3.83976857418, 26084.0218062162],\n    [0.00000009264, 4.02987000812, 467.9649903544],\n    [0.00000008961, 0.11062526114, 62389.09182935939],\n    [0.00000011543, 4.17789167759, 103242.23401420339],\n    [0.00000011146, 3.78292300417, 26301.2022370122],\n    [0.00000009677, 2.98527809776, 59414.4818747484],\n    [0.00000008977, 3.47888073089, 91785.46086631398],\n    [0.00000009664, 5.77941968495, 25938.3399444396],\n    [0.00000008855, 2.84672636028, 25035.6347583858],\n    [0.00000008181, 5.77857196635, 40853.142184844],\n    [0.00000008033, 2.45692824195, 129380.13377768178],\n    [0.00000008343, 5.34499871294, 19317.1925403286],\n    [0.00000007425, 4.7116033039, 6.62855890001],\n    [0.00000009001, 6.23396256413, 25021.4076643842],\n    [0.00000008126, 1.12294634635, 26095.016688575],\n    [0.00000006568, 3.66248946629, 26514.5013324502],\n    [0.00000007038, 3.99035923761, 71980.63357473118],\n    [0.00000006956, 1.62821260299, 23869.1460373874],\n    [0.00000007595, 0.18334396433, 12432.0426503978],\n    [0.00000006061, 3.67044794062, 27676.976036858],\n    [0.00000005896, 5.57171141866, 94138.32702008578],\n    [0.00000005716, 5.18204203484, 78793.40038981718],\n    [0.00000005855, 2.14311779301, 20760.4270331914],\n    [0.00000005681, 1.60727624525, 98690.28051714458],\n    [0.00000005788, 2.3546749239, 103821.92160120218],\n    [0.00000005121, 3.77832929907, 58946.51688439399],\n    [0.00000005873, 5.76210244486, 286966.93455731616],\n    [0.00000005858, 6.12538452806, 26011.6370702986],\n    [0.00000005215, 3.29186833997, 38519.945791972],\n    [0.00000006, 0.00057044073, 51535.90899683439],\n    [0.00000004647, 0.29020584575, 136100.84775702319],\n    [0.00000005787, 4.44783057272, 19406.6782881746],\n    [0.00000005908, 4.12195491631, 29530.4780865396],\n    [0.00000005918, 3.98930701135, 131548.89425996438],\n    [0.00000005728, 3.02314979708, 89586.37352302698],\n    [0.00000003928, 4.8143793369, 125887.56221081219],\n    [0.00000003929, 2.48449041501, 69159.80243060499],\n    [0.00000003681, 2.80180999964, 79323.09135491178],\n    [0.00000004498, 1.50325539137, 51962.5071877104],\n    [0.00000003687, 5.33717753698, 102762.53967101299],\n    [0.00000003497, 1.85400531491, 52156.1365222486],\n    [0.00000003867, 1.25354714671, 54394.56338733519],\n    [0.00000004459, 4.88911997687, 50057.04242277],\n    [0.00000003396, 3.73870967348, 82815.66292178139],\n    [0.00000003525, 6.07665337319, 25934.1243310894],\n    [0.00000003492, 1.28206984744, 52168.69273614759],\n    [0.00000003411, 6.13976263434, 639.897286314],\n    [0.00000004395, 3.2547591476, 77308.10968311399],\n    [0.0000000299, 5.27323635392, 46848.3301747656],\n    [0.00000003218, 5.20938751579, 103925.01437542078],\n    [0.00000002899, 5.08451495112, 58458.88213313979],\n    [0.00000003708, 0.02713701028, 26241.681952059],\n    [0.00000002991, 2.92278339368, 44937.1306915484],\n    [0.00000003177, 0.05753403864, 22747.2907148744],\n    [0.00000003163, 5.38713552769, 105307.21230790539],\n    [0.00000003556, 3.96231142071, 52195.47604404819],\n    [0.00000002787, 0.54704419913, 52389.1053785864],\n    [0.00000002458, 1.14904830408, 2333.196392872],\n    [0.00000002492, 5.24922078791, 25668.418497699],\n    [0.00000002409, 2.14208355028, 64741.95798313119],\n    [0.00000002509, 0.61934630416, 85034.42002596818],\n    [0.00000002416, 5.26204437192, 52179.6876185064],\n    [0.00000002296, 3.09900451546, 88476.99497093359],\n    [0.00000002357, 0.17742385045, 117873.36400788819],\n    [0.00000003012, 0.83689268367, 129330.13715577759],\n    [0.00000002421, 3.95913346049, 49.9966219042],\n    [0.00000002197, 2.56129546358, 3340.6124266998],\n    [0.00000002402, 0.55121112633, 52171.9249477904],\n    [0.00000002106, 5.41271503337, 155468.03691925599],\n    [0.00000002566, 3.00606194044, 51109.31080595839],\n    [0.00000002392, 0.17898534184, 103.0927742186],\n    [0.00000002737, 1.08192567668, 632.7837393132],\n    [0.00000002523, 5.90356438675, 51123.53789995999],\n    [0.00000002098, 2.4713206914, 66941.04532641819],\n    [0.00000002003, 3.75422326828, 16066.0658614748],\n    [0.00000002188, 1.18654376903, 2118.7638603784],\n    [0.00000002593, 2.55122032446, 25654.19140369739],\n    [0.00000002559, 1.18101453315, 45494.58142974879],\n    [0.00000001918, 0.79899605678, 26555.8681319286],\n    [0.00000001819, 0.69178943674, 98068.53671630539],\n    [0.00000002471, 2.55057179214, 52026.2430860138],\n    [0.00000001704, 0.3672357774, 52602.4044740244],\n    [0.00000002129, 2.66251948472, 18093.37469954999],\n    [0.00000001715, 4.6217746471, 49957.0491789616],\n    [0.00000001916, 5.8372646205, 85502.38501632259],\n    [0.00000001976, 3.57365896777, 24395.7374720718],\n    [0.00000001581, 0.36987184257, 53764.8791784322],\n    [0.00000001589, 1.3353124195, 114.43928868521],\n    [0.00000002042, 2.05385564074, 45405.0956819028],\n    [0.00000001539, 2.25468618977, 120226.23016165999],\n    [0.00000001525, 1.48231179113, 26094.53170047421],\n    [0.00000002055, 4.16315644175, 52182.9198301492],\n    [0.00000001829, 0.38846130335, 522.5774180938],\n    [0.00000002105, 4.04128506778, 25234.70675982219],\n    [0.0000000148, 1.87644604156, 104881.30353139139],\n    [0.0000000146, 1.01790185557, 25455.119402261],\n    [0.00000001453, 0.3412522219, 1052.2683831884],\n    [0.00000001449, 3.39742463494, 24505.94379329119],\n    [0.0000000148, 4.55094492082, 124778.18365871879],\n    [0.00000001481, 3.62242942443, 149.5631971346],\n    [0.00000001516, 5.3232780244, 129909.82474277639],\n    [0.00000001594, 3.00887674765, 77623.81213840858],\n    [0.00000001927, 3.90378108197, 74.7815985673],\n    [0.00000001373, 4.32419381493, 80482.46652890938],\n    [0.00000001419, 3.90109225299, 7880.08915333899],\n    [0.00000001525, 4.62451312025, 26081.27458267419],\n    [0.00000001567, 0.65981123945, 157636.79740153858],\n    [0.00000001725, 4.40112128069, 316.3918696566],\n    [0.00000001263, 4.96320745251, 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128850.44281258718],\n    [0.00000001032, 3.39114761061, 25551.09862947879],\n    [0.00000001065, 3.38225524038, 25863.55834587229],\n    [0.00000001153, 5.76498787983, 44181.27784112419],\n    [0.0000000096, 5.74774250678, 105410.99449648599],\n    [0.00000001137, 6.20919445956, 103396.01282468818],\n    [0.00000000914, 4.28855434634, 78256.59587772179],\n    [0.00000000917, 3.27543718918, 76.2660712756],\n    [0.00000000892, 4.82397571946, 78244.0396638228],\n    [0.00000000976, 4.86442946387, 25131.61398560359],\n    [0.00000001086, 0.73424633411, 33967.99229491319],\n    [0.00000001162, 4.52128441898, 78050.41032928458],\n    [0.00000000868, 2.78848256837, 52022.0274726636],\n    [0.00000000943, 4.0973685387, 26720.68688088739],\n    [0.00000000973, 4.54018615747, 24925.4284371664],\n    [0.00000000845, 5.05414707498, 25977.69682035479],\n    [0.00000000841, 1.89412486884, 130012.91751699499],\n    [0.0000000092, 3.02504494542, 52329.58509363319],\n    [0.00000000814, 3.15330668609, 48835.19385644859],\n    [0.00000000876, 0.41318857467, 108903.56606335558],\n    [0.00000000818, 1.61477924287, 40565.2543247742],\n    [0.00000001074, 1.37296024678, 23439.44831610119],\n    [0.00000000812, 2.82156935191, 25984.8103673556],\n    [0.00000000775, 2.86911510061, 26727.8004278882],\n    [0.00000000755, 5.44067645183, 24609.0365675098],\n    [0.00000000921, 4.7255790143, 14477.3511832],\n    [0.00000000914, 4.70826349904, 6681.2248533996],\n    [0.00000000749, 1.80279541026, 84546.78527471398],\n    [0.00000000907, 0.64974692551, 78283.37918562238],\n    [0.00000000854, 5.05058435764, 307.5576209696],\n    [0.00000000766, 5.89942349817, 71025.03383312259],\n    [0.00000000713, 3.55192633098, 78477.00852016058],\n    [0.00000000718, 1.85061030321, 100909.03762133139],\n    [0.00000000858, 5.43959629234, 536.8045120954],\n    [0.00000000794, 3.77076518156, 155418.04029735178],\n    [0.00000000848, 2.08790526575, 131395.11544947959],\n    [0.00000000622, 3.14583461131, 143961.26714946238],\n    [0.00000000623, 4.58424507963, 9103.9069941176],\n    [0.00000000623, 5.10535773746, 90829.86112470538],\n    [0.00000000706, 4.19554833142, 71582.48457132299],\n    [0.00000000738, 0.15942404038, 24712.1293417284],\n    [0.00000000621, 1.32834420218, 3328.13565628019],\n    [0.00000000714, 1.88052234658, 2199.087343287],\n    [0.00000000678, 6.01392909264, 77197.21394753258],\n    [0.0000000065, 5.51227348491, 29428.515568274],\n    [0.00000000658, 2.03299256393, 51756.3216392732],\n    [0.00000000593, 6.06807779961, 114564.89811250778],\n    [0.00000000666, 0.70706334861, 26162.6847401415],\n    [0.00000000597, 5.15771478155, 333.8559407694],\n    [0.00000000616, 1.94902289932, 78267.59076008058],\n    [0.00000000774, 2.84206828086, 13655.8604911764],\n    [0.00000000698, 5.60747842278, 51742.09454527159],\n    [0.00000000557, 2.07529602574, 181555.94006083018],\n    [0.00000000547, 3.17747066781, 90695.75207512038],\n    [0.00000000541, 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[0.00000000008, 2.32846981012, 156451.15277816958],\n    [0.00000000009, 5.86810139691, 221135.26778299136],\n    [0.00000000009, 0.07267483428, 54879.422437824],\n    [0.00000000009, 3.53847001127, 1169.5882514086],\n    [0.00000000008, 0.40730399, 5852.7803152638],\n    [0.0000000001, 5.08938165465, 53661.0969898516],\n    [0.00000000009, 0.09227292796, 285857.55600522275],\n    [0.00000000009, 1.53921610006, 171004.77003264519],\n    [0.0000000001, 6.0236999988, 105403.88094948517],\n    [0.00000000009, 1.41005383919, 215473.93573383916],\n    [0.00000000008, 2.95064025568, 182611.44065566138],\n    [0.00000000011, 0.82592745776, 52098.05573916449],\n    [0.00000000011, 1.89268014069, 53265.515074342],\n    [0.00000000009, 0.91534494504, 130446.14426677099],\n    [0.00000000011, 5.68651428373, 97466.46267636596],\n    [0.00000000008, 6.09336539202, 65538.25598994759],\n    [0.0000000001, 4.71864870979, 1865.2314025176],\n    [0.00000000011, 0.33942008091, 2352.8661537718],\n    [0.0000000001, 0.58149039679, 51554.06248230919],\n    [0.00000000009, 4.63908561414, 130329.30938665158],\n    [0.00000000008, 3.29340479484, 76532.58707178998],\n    [0.00000000008, 0.39996086139, 31722.9368709266],\n    [0.00000000009, 2.07892055945, 84307.93800609799],\n    [0.00000000008, 0.10251061291, 130489.51232977519],\n    [0.00000000009, 4.86488540298, 197380.56103428919],\n    [0.00000000008, 2.84319355109, 247223.17092456557],\n    [0.00000000009, 5.40644601602, 205260.65018762815],\n    [0.00000000008, 2.99554948925, 28199.55345495179],\n    [0.00000000008, 2.31903661034, 50951.98844236979],\n    [0.00000000009, 3.67243760379, 132558.27956824939],\n    [0.0000000001, 3.84482406254, 199.0720014364],\n    [0.00000000008, 5.13311255182, 133780.12813457078],\n    [0.00000000008, 4.50659262629, 31775.5335105262],\n    [0.0000000001, 3.05711078565, 12098.1867096284],\n    [0.00000000009, 5.43609233651, 65851.33653522459],\n    [0.00000000008, 3.1647127512, 53438.96364572659],\n    [0.00000000008, 5.49628419906, 208063.32784627957],\n    [0.00000000009, 0.80806156177, 84944.93427812219],\n    [0.00000000008, 1.45936166924, 50160.82461135059],\n    [0.00000000009, 3.83369994945, 79902.77894191058],\n    [0.00000000008, 5.05169260225, 220025.88923089796],\n    [0.0000000001, 0.99908522442, 78373.91574594198],\n    [0.00000000008, 1.78435325528, 4743.4017631704],\n    [0.00000000009, 2.44642878457, 76468.45098100159],\n    [0.0000000001, 0.640410795, 106684.80895916879],\n    [0.00000000008, 0.22706755866, 130514.29730643828],\n    [0.00000000008, 4.45568539518, 175844.61138977378],\n    [0.00000000008, 5.30875425569, 104991.50985261079],\n    [0.00000000008, 4.26578657244, 78267.64157798568],\n    [0.0000000001, 3.66900856638, 22595.33157470459],\n    [0.00000000008, 5.3953090617, 1168.8988370466],\n    [0.00000000007, 2.97217552646, 130962.09312596478],\n    [0.00000000008, 5.4165915664, 106082.73491922939],\n    [0.00000000007, 6.14449914187, 154835.25317994278],\n    [0.00000000009, 3.77109166248, 76777.72930365738],\n    [0.0000000001, 2.68699198523, 31903.01400121119],\n    [0.0000000001, 4.1132528617, 51861.62010327879],\n    [0.0000000001, 6.22285311837, 52213.9393187862],\n    [0.00000000008, 4.05691998652, 130432.88714897096],\n    [0.00000000008, 5.44182392744, 24844.41553989579],\n    [0.00000000008, 5.31551782104, 26247.2048763664],\n    [0.00000000007, 3.34982243781, 53771.99272543299],\n    [0.00000000007, 0.76435484795, 103829.03514820298],\n    [0.00000000009, 0.48166296597, 4571.62325795859],\n    [0.0000000001, 2.5385762885, 23735.03698780239],\n    [0.00000000009, 3.0693298264, 51102.19725895759],\n    [0.00000000009, 0.81667861584, 180396.56488683258],\n    [0.00000000008, 1.37381137878, 182619.20332637738],\n    [0.0000000001, 4.53462580754, 195181.47369100217],\n    [0.00000000007, 5.92229713446, 102129.75593169978],\n    [0.00000000009, 1.70197819412, 114.3991069134],\n    [0.00000000009, 2.75554865259, 52145.47942214399],\n    [0.00000000007, 5.030029299, 78905.12298646157],\n    [0.00000000008, 4.70162992466, 77684.02183772379],\n    [0.00000000007, 2.16016333042, 252884.50297371777],\n    [0.00000000007, 4.7010481161, 197092.67317421938],\n    [0.00000000008, 3.34882273958, 92.0528357446],\n    [0.00000000007, 4.64287583099, 104659.17018726638],\n    [0.00000000007, 1.74834665027, 79116.90580647459],\n    [0.00000000007, 1.40803395997, 78149.31031780918],\n    [0.00000000007, 5.96603423152, 1685.0521225016],\n    [0.00000000008, 5.74025115791, 27441.651886591],\n    [0.00000000007, 3.32172728837, 186057.89693598478],\n    [0.00000000007, 5.77399157694, 52822.81711646319],\n    [0.00000000009, 5.4096900728, 25970.58327335399],\n    [0.00000000007, 5.0309737967, 51092.7260508548],\n    [0.00000000008, 4.85500497006, 79353.41821591619],\n    [0.00000000009, 2.91790460578, 128857.55635958798],\n    [0.0000000001, 2.62831495455, 104145.42701785959],\n    [0.00000000008, 3.65717048924, 50476.52706664519],\n    [0.0000000001, 4.97375703081, 128960.64913380658],\n    [0.00000000007, 0.63731291763, 132350.71519108818],\n    [0.00000000007, 3.70718359263, 61165.27398858079],\n    [0.00000000007, 1.524098908, 224577.84272795678],\n    [0.00000000007, 5.83295581556, 78339.97549599818],\n    [0.00000000007, 1.2898265788, 127791.06088239799],\n    [0.00000000007, 4.38077281912, 87648.55043279778],\n    [0.00000000007, 0.78772735446, 104044.0549453272],\n    [0.00000000007, 5.55018242223, 148532.89040742096],\n    [0.00000000008, 3.9435380026, 77929.85348395319],\n    [0.00000000007, 4.68484570125, 129971.55071751658],\n    [0.00000000007, 5.46082675395, 76352.50994150538],\n    [0.00000000007, 0.89727780818, 28213.78054895339],\n    [0.00000000006, 2.25546242417, 79955.87509422498],\n    [0.00000000007, 1.85784871452, 28096.46068073319],\n    [0.00000000006, 6.2231897778, 261988.40996783535],\n    [0.00000000006, 3.92166942434, 182402.02289558138],\n    [0.00000000006, 4.54553590954, 26235.9818660005],\n    [0.00000000006, 0.04385251847, 182634.99175191917],\n    [0.00000000006, 3.27000773736, 104557.79811473397],\n    [0.00000000006, 1.4831694091, 26191.68533015479],\n    [0.00000000006, 1.42098831764, 26026.177166834],\n    [0.00000000006, 4.63624566094, 57369.17334194619],\n    [0.00000000006, 2.24614788518, 131079.41299418498],\n    [0.00000000008, 1.46359871781, 74935.57376844239],\n    [0.00000000007, 0.19039890992, 117077.06600107178],\n    [0.00000000006, 2.30839350284, 27353.47062020059],\n    [0.00000000008, 4.05701479596, 60170.3347251726],\n    [0.00000000006, 2.25676540184, 118007.47305747319],\n    [0.00000000007, 5.19369769843, 91919.56991589899],\n    [0.00000000006, 2.17221286567, 27573.88326263939],\n    [0.00000000006, 3.04358438526, 83591.18553310538],\n    [0.00000000006, 5.50261387027, 26238.95081141709],\n    [0.00000000006, 5.55141392261, 207747.62539098498],\n    [0.00000000007, 3.67760971466, 229129.79622501558],\n    [0.00000000006, 5.14998820697, 130364.73410930368],\n    [0.00000000006, 2.59291082745, 52186.8519834123],\n    [0.00000000006, 3.70620257597, 182608.20844401857],\n    [0.00000000007, 5.89987227798, 53757.76563143139],\n    [0.00000000007, 1.17954845926, 209232.91609768818],\n    [0.00000000007, 1.99199973963, 88285.54670482199],\n    [0.00000000006, 5.29985761538, 175376.64639941938],\n    [0.00000000007, 1.76338847974, 55484.27217852879],\n    [0.00000000008, 0.55724966367, 129806.73196855778],\n    [0.00000000005, 4.19687137282, 111032.83741969639],\n    [0.00000000006, 1.86021237763, 96471.52341295779],\n    [0.00000000006, 1.44535366888, 20043.6745601988],\n    [0.00000000006, 1.48244229587, 260349.34045064733],\n    [0.00000000006, 1.00031747475, 51538.81001112419],\n    [0.00000000005, 0.08842088266, 79859.89586700719],\n    [0.00000000006, 2.17116807817, 156373.64003896038],\n    [0.00000000007, 2.57540094308, 77218.55458853499],\n    [0.00000000006, 4.66124811472, 65717.22748563958],\n    [0.00000000005, 5.69376389474, 52400.1510788503],\n    [0.00000000006, 2.47972848111, 266540.36346489414],\n    [0.00000000005, 4.47086994598, 27360.58416720139],\n    [0.00000000005, 3.20880924837, 259769.65286364855],\n    [0.00000000005, 3.98361684334, 54862.5283776896],\n    [0.00000000007, 2.86077141334, 179172.74704605396],\n    [0.00000000005, 2.46087822928, 156681.19765992998],\n    [0.00000000007, 5.00361119157, 209762.60706278277],\n    [0.00000000005, 5.35670104895, 26513.8119180882],\n    [0.00000000006, 3.62607025643, 27883.16158529519],\n    [0.00000000005, 0.80991017339, 25661.9943650602],\n    [0.00000000006, 0.20069428083, 50490.75416064679],\n    [0.00000000005, 3.77056538505, 164407.50800278416],\n    [0.00000000005, 2.71005052987, 104427.87863757239],\n    [0.00000000006, 0.84754795471, 104466.051854982],\n    [0.00000000005, 2.69389382491, 180496.55813064099],\n    [0.00000000005, 4.04820376371, 129277.04100346318],\n    [0.00000000006, 0.5782905701, 50600.9604818662],\n    [0.00000000006, 4.21216601811, 182595.65223011958],\n    [0.00000000005, 3.59670550074, 131072.29944718418],\n    [0.00000000005, 0.08842684725, 27993.3679065146],\n    [0.00000000006, 0.00392034365, 73891.83305794839],\n    [0.00000000006, 4.68979746906, 26149.62911631439],\n    [0.00000000005, 4.61789756581, 20894.5360827764],\n    [0.00000000005, 3.5709323278, 53654.67285721279],\n    [0.00000000005, 0.36682731238, 146505.58156934578],\n    [0.00000000005, 1.4054582464, 233202.05537888398],\n    [0.00000000006, 2.35439456378, 139543.42270198859],\n    [0.00000000004, 1.28935961583, 234364.53008329177],\n    [0.00000000004, 1.10749672173, 51086.09749195479],\n    [0.00000000005, 3.64294402198, 27331.3907432526],\n    [0.00000000004, 0.00216060134, 213255.17862965238],\n    [0.00000000004, 4.40507427126, 129483.22655190038],\n    [0.00000000004, 2.18529936793, 23384.2869868986],\n    [0.00000000005, 0.93391333656, 52102.50915728939],\n    [0.00000000004, 2.33941435272, 23389.451694197],\n    [0.00000000004, 3.59370682931, 46564.4708559004],\n    [0.00000000004, 2.90835831307, 61299.38303816579],\n    [0.00000000004, 6.27884818175, 170068.84005193636],\n    [0.00000000004, 4.90170477242, 104888.41707839219],\n    [0.00000000004, 4.56426377076, 46131.577701773],\n    [0.00000000005, 2.12658067178, 130542.60848208958],\n    [0.00000000005, 2.50519016528, 79845.66877300559],\n    [0.00000000004, 6.24881318031, 18073.7049386502],\n    [0.00000000004, 1.10868110225, 52072.0240945678],\n    [0.00000000004, 6.14515791357, 34102.10134449819],\n    [0.00000000004, 2.9409789397, 129902.71119577558],\n    [0.00000000004, 2.91542426579, 130215.17091216908],\n    [0.00000000005, 2.2014651331, 82865.65954368559],\n    [0.00000000005, 4.46570663623, 104237.17327761157],\n    [0.00000000004, 5.1333479743, 26387.0295358434],\n    [0.00000000004, 5.34965278511, 24787.0763233692],\n    [0.00000000004, 4.17772291197, 53132.09543911899],\n    [0.00000000004, 2.66996288682, 25572.43927048119],\n    [0.00000000005, 1.14175711692, 188898.39784101078],\n];\n\nconst VSOP87_L1: Vsop87Element = [\n    [26088.14706222746],\n    [0.01126007832, 6.21703970996, 26087.9031415742],\n    [0.00303471395, 3.05565472363, 52175.8062831484],\n    [0.00080538452, 6.10454743366, 78263.70942472259],\n    [0.00021245035, 2.83531934452, 104351.61256629678],\n    [0.00005592094, 5.82675673328, 130439.51570787099],\n    [0.00001472233, 2.51845458395, 156527.41884944518],\n    [0.00000352244, 3.05238094403, 1109.3785520934],\n    [0.00000388318, 5.48039225891, 182615.32199101939],\n    [0.0000009354, 6.11791163931, 27197.2816936676],\n    [0.00000090579, 0.00045481669, 24978.5245894808],\n    [0.00000102743, 2.14879173777, 208703.22513259358],\n    [0.00000051941, 5.62107554052, 5661.3320491522],\n    [0.0000004437, 4.57348500464, 25028.521211385],\n    [0.0000002807, 3.04195430989, 51066.427731055],\n    [0.00000022003, 0.86475371243, 955.5997416086],\n    [0.00000027295, 5.09210138837, 234791.12827416777],\n    [0.00000020425, 3.71509622702, 20426.571092422],\n    [0.00000020221, 0.51934047295, 21535.9496445154],\n    [0.00000017496, 5.7266360862, 4551.9534970588],\n    [0.0000001668, 1.35134428173, 529.6909650946],\n    [0.00000015306, 1.79184360652, 11322.6640983044],\n    [0.00000015398, 5.74263453989, 19.66976089979],\n    [0.00000013964, 3.59426938083, 24498.8302462904],\n    [0.00000012822, 2.69591798562, 53285.1848352418],\n    [0.00000012621, 3.89530641889, 3.881335358],\n    [0.00000012566, 4.70537436663, 1059.3819301892],\n    [0.00000007974, 4.17682324505, 26617.5941066688],\n    [0.00000007929, 0.50426804318, 46514.4742339962],\n    [0.00000008024, 3.92723313702, 27043.5028831828],\n    [0.00000007665, 2.48158305355, 57837.1383323006],\n    [0.00000008639, 6.06360282793, 77154.33087262919],\n    [0.00000006838, 2.77387065312, 7.1135470008],\n    [0.00000006554, 5.53478998989, 6770.7106012456],\n    [0.00000005846, 4.281396598, 16983.9961474566],\n    [0.00000007285, 1.74581868954, 260879.03141574195],\n    [0.00000007179, 2.97766079692, 2218.7571041868],\n    [0.00000006364, 2.1380561938, 25132.3033999656],\n    [0.00000005883, 2.19545230409, 13521.7514415914],\n    [0.00000004969, 2.4775213418, 30639.856638633],\n    [0.00000004578, 1.55845855383, 27147.28507176339],\n    [0.00000004857, 4.84757952324, 37410.5672398786],\n    [0.00000005022, 3.94124675992, 25661.3049506982],\n    [0.00000004381, 4.94471456712, 213.299095438],\n    [0.00000004211, 5.53886788148, 83925.04147387479],\n    [0.00000004299, 5.09070560802, 10213.285546211],\n    [0.00000004593, 0.81920676333, 25558.2121764796],\n    [0.00000003571, 2.34341884629, 32858.61374281979],\n    [0.00000004454, 5.7915915618, 3442.5749449654],\n    [0.00000003547, 3.59413896239, 26068.2333806744],\n    [0.00000003664, 1.39952931281, 77204.32749453338],\n    [0.00000003417, 0.49855041138, 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52812.8025551726],\n    [0.00000000007, 6.02219529486, 156507.74908854539],\n    [0.00000000005, 6.28085632767, 31415.379249957],\n    [0.00000000006, 2.7051772072, 52492.19815280499],\n    [0.00000000007, 6.25185953525, 74935.57376844239],\n    [0.00000000005, 6.03800330793, 84944.93427812219],\n    [0.00000000007, 2.08385155566, 104819.57755665119],\n    [0.00000000005, 2.79143401592, 51315.49635439559],\n    [0.00000000007, 0.15300257128, 2014.9816717978],\n    [0.00000000006, 5.45690475475, 1243.4876016784],\n    [0.00000000005, 1.7231082929, 103718.82882698359],\n    [0.00000000005, 0.0534317532, 27044.1922975448],\n    [0.00000000005, 1.35980682609, 94329.77528619739],\n    [0.00000000007, 5.94496795198, 256327.07791868312],\n    [0.00000000006, 1.88665916947, 80174.90890793978],\n    [0.00000000005, 2.15640465605, 235900.50682626116],\n    [0.00000000005, 5.97271372078, 156314.11975400719],\n    [0.00000000006, 2.6662090451, 229129.79622501558],\n    [0.00000000005, 2.52891655111, 123758.29085447139],\n    [0.00000000006, 1.20953605164, 130459.18546877075],\n    [0.00000000005, 4.06443360712, 130285.73689738619],\n    [0.00000000007, 1.34355308244, 1731.1223529326],\n    [0.00000000005, 2.36158299954, 78896.49316403578],\n    [0.00000000005, 0.96987247797, 149288.74325784518],\n    [0.00000000005, 0.76610110351, 24864.08530079559],\n    [0.00000000005, 1.95647355963, 76571.54375522019],\n    [0.00000000005, 1.13701088228, 26312.2479372761],\n    [0.00000000005, 1.05826639118, 27780.06881107659],\n    [0.00000000005, 4.54130791881, 156740.71794488319],\n    [0.00000000006, 3.58276567647, 198489.93958638258],\n    [0.00000000005, 0.51603916276, 171292.65789271498],\n    [0.00000000006, 3.03452226064, 77741.13200662879],\n    [0.00000000005, 1.46111595893, 101011.00013959699],\n    [0.00000000005, 0.02805624095, 149756.70824819959],\n    [0.00000000005, 5.10195955921, 112231.70171963578],\n    [0.00000000005, 4.87459278742, 78413.27262185719],\n    [0.00000000007, 3.69898590349, 81604.32185142238],\n    [0.00000000005, 0.76195152302, 417406.45026518717],\n    [0.00000000005, 0.55904094194, 2383.1930147762],\n    [0.00000000005, 3.95096384085, 78188.92782615528],\n    [0.00000000005, 1.76549372525, 53771.99272543299],\n    [0.00000000005, 3.3535670841, 205260.65018762815],\n    [0.00000000006, 5.57902902188, 87253.17713015496],\n    [0.00000000005, 0.26610630357, 235746.72801577636],\n    [0.00000000005, 2.90596877294, 154194.22245657316],\n    [0.00000000004, 1.1697417665, 193937.98608932378],\n    [0.00000000004, 3.93130462476, 130289.95251073639],\n    [0.00000000004, 4.33627478046, 89.485747846],\n    [0.00000000005, 2.8002233534, 4437.51420837359],\n    [0.00000000006, 4.70286246928, 91805.13062721379],\n    [0.00000000005, 1.82284966431, 1884.9011634174],\n    [0.00000000005, 2.02580304988, 259769.65286364855],\n    [0.00000000004, 4.65165864815, 195047.36464141717],\n    [0.00000000004, 0.588581477, 323.5054166574],\n    [0.00000000004, 4.0062366874, 175376.64639941938],\n    [0.00000000004, 0.64833718455, 156377.85565231058],\n    [0.00000000004, 2.71436739189, 182402.02289558138],\n    [0.00000000005, 4.68929437146, 79315.97780791098],\n    [0.00000000004, 5.71176695959, 81591.84508100279],\n    [0.00000000004, 1.42876132655, 52252.07235442399],\n    [0.00000000005, 2.55069425936, 154308.66174525839],\n    [0.00000000005, 1.42813778372, 266540.36346489414],\n    [0.00000000004, 2.00085806148, 189386.03259226495],\n    [0.00000000005, 4.29231489707, 220025.88923089796],\n    [0.00000000004, 6.20316213523, 79116.90580647459],\n    [0.00000000004, 0.85257120719, 118007.47305747319],\n    [0.00000000004, 5.77579934605, 129799.61842155698],\n    [0.00000000004, 4.47492094862, 137678.19129947099],\n    [0.00000000004, 1.6456663118, 78697.42116259939],\n    [0.00000000005, 2.1751453684, 51329.7234483972],\n    [0.00000000006, 4.78710650697, 102755.42612401219],\n    [0.00000000004, 1.46002058771, 935.92998070881],\n    [0.00000000005, 5.13889133658, 130907.48069822539],\n    [0.00000000004, 1.8932118711, 2111.6503133776],\n    [0.00000000004, 0.10839681347, 38.1330356378],\n    [0.00000000005, 4.42201446083, 78057.52387628538],\n    [0.00000000005, 5.65870377214, 1300.826818205],\n    [0.00000000005, 5.90579064813, 1478.8665740644],\n    [0.00000000004, 5.24580055005, 52309.9153327334],\n    [0.00000000004, 2.74756161638, 144916.86689107098],\n    [0.00000000005, 3.31232177694, 48847.6706268682],\n    [0.00000000004, 4.43048849829, 118828.96374949679],\n    [0.00000000004, 0.51369916437, 181563.05360783098],\n    [0.00000000004, 5.22571179686, 261988.40996783535],\n    [0.00000000004, 0.80000960641, 1485.2907067032],\n    [0.00000000004, 3.25642623421, 195181.47369100217],\n    [0.00000000005, 5.23264312237, 126996.94076290558],\n    [0.00000000004, 3.86524951456, 209762.60706278277],\n    [0.00000000004, 3.43760746038, 234261.43730907318],\n    [0.00000000004, 0.67741502331, 131079.41299418498],\n    [0.00000000004, 5.40862384292, 104984.39630560997],\n    [0.00000000004, 0.30384598125, 285907.55262712695],\n    [0.00000000004, 5.65734972357, 51868.2486621788],\n    [0.00000000004, 5.55015227967, 149846.19399604558],\n    [0.00000000004, 1.51752118872, 103814.80805420138],\n    [0.00000000004, 2.53135799952, 79487.52726550119],\n    [0.00000000004, 1.88512485652, 54879.422437824],\n    [0.00000000004, 5.12386500502, 182622.43553802017],\n    [0.00000000004, 4.36228014188, 207747.62539098498],\n    [0.00000000004, 3.24471199066, 130020.03106399579],\n    [0.00000000004, 0.51045647492, 107692.22499299659],\n    [0.00000000004, 4.26267840541, 132658.27281205778],\n    [0.00000000004, 3.08522628552, 175844.61138977378],\n    [0.00000000004, 3.38866894732, 104888.41707839219],\n    [0.00000000004, 1.21404057369, 139543.42270198859],\n    [0.00000000005, 3.75130732, 62197.64356324779],\n    [0.00000000004, 0.30056239753, 233202.05537888398],\n    [0.00000000004, 4.20598588282, 218916.51067880458],\n    [0.00000000004, 1.34568004641, 182828.62108645738],\n    [0.00000000004, 0.68519128486, 104276.83096772949],\n    [0.00000000004, 0.20412928769, 169093.57054942798],\n    [0.00000000003, 0.98973904852, 105418.10804348679],\n    [0.00000000004, 3.42019897755, 61279.713277266],\n    [0.00000000003, 5.22780381742, 78338.49102328988],\n    [0.00000000003, 2.67114319601, 24998.19435038059],\n    [0.00000000004, 1.65814724695, 50800.03248330259],\n    [0.00000000004, 3.24764679291, 28286.9904848612],\n    [0.00000000004, 6.01723954923, 104237.17327761157],\n    [0.00000000003, 3.99050522839, 71378.55953479178],\n    [0.00000000003, 3.46632047879, 45494.58142974879],\n    [0.00000000003, 4.27304181959, 130593.29451835579],\n    [0.00000000003, 4.05932083484, 52822.81711646319],\n    [0.00000000003, 5.89324219451, 50483.640613646],\n    [0.00000000003, 2.88091404327, 78149.27013603736],\n    [0.00000000003, 4.09573256493, 155460.92337225519],\n    [0.00000000003, 0.40695406256, 52278.89905736699],\n    [0.00000000003, 0.53381434741, 26709.6469424134],\n    [0.00000000003, 1.00008179165, 50264.6067999312],\n    [0.00000000004, 5.67939124426, 106470.37642667518],\n    [0.00000000003, 0.77610404005, 142871.55835826878],\n    [0.00000000003, 3.80375047171, 26402.0893214438],\n    [0.00000000003, 2.44134109777, 156520.30530244438],\n    [0.00000000003, 0.98764974659, 128843.32926558638],\n    [0.00000000003, 3.6290381593, 130435.63437251298],\n    [0.00000000003, 2.12651302584, 78469.89497315978],\n    [0.00000000003, 4.29158350083, 154408.65498906678],\n    [0.00000000003, 1.06499703474, 26734.913974889],\n    [0.00000000003, 1.86490629185, 51707.84129279399],\n    [0.00000000003, 5.95559848753, 104344.98400739678],\n    [0.00000000004, 3.60184879954, 207114.15223730978],\n    [0.00000000003, 3.28684847821, 208276.62694171758],\n    [0.00000000003, 2.80509981839, 104358.2411251968],\n    [0.00000000003, 5.02808401414, 130432.40216087017],\n    [0.00000000003, 6.1660165005, 20043.6745601988],\n    [0.00000000003, 5.29581547615, 57503.2823915312],\n    [0.00000000003, 1.3503644855, 23919.1426592916],\n    [0.00000000002, 3.75076268715, 130005.80396999417],\n    [0.00000000003, 3.05479754348, 162810.49469943657],\n    [0.00000000003, 2.06087055668, 52065.59996192899],\n    [0.00000000003, 1.11245383788, 192828.60753723037],\n    [0.00000000002, 1.90218644384, 24356.7807886416],\n    [0.00000000002, 4.74203919229, 76887.93562487679],\n    [0.00000000002, 0.63548334553, 23384.2869868986],\n    [0.00000000002, 2.51564214512, 26667.590728573],\n    [0.00000000002, 6.08909078783, 116783.65521669458],\n    [0.00000000002, 3.56733241522, 26073.67604757259],\n    [0.00000000003, 5.60392923976, 104466.051854982],\n    [0.00000000002, 3.56126103854, 26189.8656598398],\n    [0.00000000002, 5.97797555746, 50167.24874398939],\n    [0.00000000002, 4.41481991835, 65538.25598994759],\n    [0.00000000002, 5.91297170155, 87367.61641884019],\n    [0.00000000002, 5.1750816963, 163298.12945069079],\n    [0.00000000003, 1.10832319418, 25600.26839032],\n    [0.00000000002, 2.11477268878, 25773.71696170459],\n    [0.00000000002, 2.15515419441, 51951.46148744649],\n    [0.00000000003, 5.43138498093, 106684.80895916879],\n    [0.00000000002, 0.11511311275, 27170.98337386779],\n    [0.00000000002, 5.22579437397, 6885.14988993081],\n    [0.00000000002, 2.93412437896, 63786.3582415226],\n    [0.00000000003, 6.19860078008, 25004.8229092806],\n    [0.00000000002, 0.23150025826, 24448.8336243862],\n    [0.00000000002, 0.54898566845, 153084.84390447979],\n    [0.00000000002, 0.63373893542, 1265.5674786264],\n    [0.00000000002, 4.49873870855, 50007.0458008658],\n    [0.00000000002, 5.57750243319, 25928.601406782],\n    [0.00000000002, 5.66467419812, 25466.159340735],\n    [0.00000000002, 5.10682926241, 159969.99379441059],\n    [0.00000000002, 3.49751807681, 259819.64948555276],\n];\n\nconst VSOP87_L2: Vsop87Element = [\n    [0.00053049845],\n    [0.00016903658, 4.69072300649, 26087.9031415742],\n    [0.00007396711, 1.34735624669, 52175.8062831484],\n    [0.00003018297, 4.45643539705, 78263.70942472259],\n    [0.00001107419, 1.26226537554, 104351.61256629678],\n    [0.00000378173, 4.319980559, 130439.51570787099],\n    [0.00000122998, 1.06868541052, 156527.41884944518],\n    [0.00000038663, 4.08011610182, 182615.32199101939],\n    [0.00000014898, 4.6334308581, 1109.3785520934],\n    [0.00000011861, 0.79187646439, 208703.22513259358],\n    [0.00000005243, 4.71799772791, 24978.5245894808],\n    [0.00000003575, 3.77317513032, 234791.12827416777],\n    [0.00000002566, 1.44059109766, 27197.2816936676],\n    [0.00000002045, 1.49570544876, 51066.427731055],\n    [0.00000001064, 0.46023695675, 260879.03141574195],\n    [0.00000000972, 1.80344701358, 955.5997416086],\n    [0.00000000628, 6.18483168149, 529.6909650946],\n    [0.00000000628, 4.8493010532, 24498.8302462904],\n    [0.00000000763, 4.54299337366, 77154.33087262919],\n    [0.00000000654, 0.98170349539, 5661.3320491522],\n    [0.00000000572, 5.92841937309, 25028.521211385],\n    [0.00000000552, 2.1322864657, 20426.571092422],\n    [0.00000000507, 4.11466890786, 4551.9534970588],\n    [0.00000000608, 4.54152310086, 2218.7571041868],\n    [0.00000000439, 3.40705996719, 11322.6640983044],\n    [0.00000000381, 2.83442391504, 26617.5941066688],\n    [0.0000000037, 0.8236064656, 6770.7106012456],\n    [0.00000000312, 5.1878582963, 46514.4742339962],\n    [0.00000000314, 3.42002895816, 286966.93455731616],\n    [0.00000000307, 3.20507351217, 1059.3819301892],\n    [0.00000000332, 0.97416155325, 25132.3033999656],\n    [0.00000000327, 2.22989850002, 21535.9496445154],\n    [0.00000000303, 4.68482058244, 27043.5028831828],\n    [0.00000000247, 5.87612469398, 16983.9961474566],\n    [0.00000000311, 4.22422008005, 3442.5749449654],\n    [0.00000000237, 4.37101224231, 114.43928868521],\n    [0.00000000234, 0.93917232374, 30639.856638633],\n    [0.00000000273, 1.29086264556, 103242.23401420339],\n    [0.00000000209, 3.30158370895, 213.299095438],\n    [0.00000000197, 2.07792605062, 22645.32819660879],\n    [0.00000000182, 0.62534354989, 25448.00585526019],\n    [0.00000000219, 1.3418873834, 28306.66024576099],\n    [0.00000000168, 6.20806483822, 27147.28507176339],\n    [0.00000000156, 3.91999448441, 32858.61374281979],\n    [0.0000000016, 5.7937744941, 52705.49724824299],\n    [0.00000000153, 4.33936015634, 1589.0728952838],\n    [0.00000000161, 4.80105233203, 23869.1460373874],\n    [0.00000000148, 1.97575825359, 72602.37737557039],\n    [0.00000000145, 5.96024756685, 14765.2390432698],\n    [0.00000000129, 4.16213277137, 23969.1392811958],\n    [0.00000000135, 3.8677543707, 51220.20654153979],\n    [0.0000000014, 3.66642468738, 25558.2121764796],\n    [0.00000000108, 1.39723983534, 50586.73338786459],\n    [0.00000000115, 0.15124159675, 26301.2022370122],\n    [0.00000000113, 4.9813748525, 79373.08797681599],\n    [0.00000000115, 3.05230359467, 53285.1848352418],\n    [0.00000000099, 3.99635236807, 56727.7597802072],\n    [0.00000000099, 3.84242768306, 83925.04147387479],\n    [0.00000000093, 2.04998627084, 26068.2333806744],\n    [0.00000000092, 0.08628005998, 313054.83769889036],\n    [0.00000000094, 4.30968259383, 129330.13715577759],\n    [0.00000000085, 3.01984486981, 53235.18821333759],\n    [0.00000000105, 5.32363189985, 7238.6755916],\n    [0.00000000095, 2.24093904831, 19317.1925403286],\n    [0.00000000099, 1.00218248773, 29530.4780865396],\n    [0.00000000075, 5.40269356209, 26091.7844769322],\n    [0.00000000074, 4.31017375756, 2333.196392872],\n    [0.00000000086, 0.78555390902, 57837.1383323006],\n    [0.00000000081, 0.9588922979, 26107.57290247399],\n    [0.00000000085, 3.28561166885, 12432.0426503978],\n    [0.0000000007, 3.55533072657, 13521.7514415914],\n    [0.00000000078, 0.27707431029, 37410.5672398786],\n    [0.00000000063, 0.6582852544, 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[0.00000000001, 3.26520760555, 240452.46032331996],\n    [0.00000000001, 5.52286605071, 52125.80966124419],\n];\n\nconst VSOP87_L3: Vsop87Element = [\n    [0.00000188077, 0.03466830117, 52175.8062831484],\n    [0.00000142152, 3.125054526, 26087.9031415742],\n    [0.00000096877, 3.00378171915, 78263.70942472259],\n    [0.00000043669, 6.01867965826, 104351.61256629678],\n    [0.00000035395],\n    [0.00000018045, 2.77538373991, 130439.51570787099],\n    [0.00000006971, 5.81808665742, 156527.41884944518],\n    [0.00000002556, 2.57014364454, 182615.32199101939],\n    [0.000000009, 5.59308888939, 208703.22513259358],\n    [0.00000000307, 2.32189002493, 234791.12827416777],\n    [0.00000000117, 3.1656732416, 24978.5245894808],\n    [0.00000000102, 5.32134064237, 260879.03141574195],\n    [0.00000000077, 6.24155593431, 51066.427731055],\n    [0.00000000057, 6.11222330831, 27197.2816936676],\n    [0.00000000034, 2.03244612467, 286966.93455731616],\n    [0.00000000038, 2.99912912226, 77154.33087262919],\n    [0.00000000031, 3.11483471984, 53285.1848352418],\n    [0.00000000017, 6.02950226714, 103242.23401420339],\n    [0.00000000011, 5.00109293882, 313054.83769889036],\n    [0.00000000009, 0.59396483404, 20426.571092422],\n    [0.00000000009, 3.65190477342, 46514.4742339962],\n    [0.00000000009, 6.28305510644, 79373.08797681599],\n    [0.00000000008, 2.74138109305, 129330.13715577759],\n    [0.00000000007, 5.79018632644, 25132.3033999656],\n    [0.00000000005, 0.33554769835, 72602.37737557039],\n    [0.00000000005, 1.3111581035, 26617.5941066688],\n    [0.00000000004, 2.46414914425, 51220.20654153979],\n    [0.00000000004, 1.74528964721, 339142.74084046457],\n    [0.00000000004, 4.31141963105, 52705.49724824299],\n    [0.00000000004, 3.07093349506, 27043.5028831828],\n    [0.00000000004, 5.6801370125, 30639.856638633],\n    [0.00000000003, 5.80662640937, 155418.04029735178],\n    [0.00000000003, 4.6451908806, 27147.28507176339],\n    [0.00000000004, 3.02893592955, 23869.1460373874],\n    [0.00000000003, 4.35199345075, 79323.09135491178],\n    [0.00000000003, 1.29040630287, 53235.18821333759],\n    [0.00000000003, 4.34017676059, 14765.2390432698],\n    [0.00000000003, 2.86652251194, 105460.99111839019],\n    [0.00000000003, 6.23875368963, 28306.66024576099],\n    [0.00000000003, 3.37815322354, 98690.28051714458],\n    [0.00000000002, 5.37466119262, 110012.94461544899],\n    [0.00000000002, 0.16040583556, 50586.73338786459],\n    [0.00000000002, 0.35038889636, 19317.1925403286],\n    [0.00000000002, 6.2327164965, 49957.0491789616],\n    [0.00000000002, 2.52219274566, 181505.94343892598],\n    [0.00000000002, 5.05358903232, 162188.75089859738],\n    [0.00000000002, 0.15071040297, 124778.18365871879],\n    [0.00000000002, 2.29024350361, 56727.7597802072],\n    [0.00000000002, 0.42411179784, 71492.99882347698],\n    [0.00000000002, 6.11262694468, 57837.1383323006],\n    [0.00000000002, 2.17198531948, 108903.56606335558],\n    [0.00000000002, 2.92723030315, 54394.56338733519],\n    [0.00000000002, 2.40411188609, 83925.04147387479],\n    [0.00000000002, 3.43613336205, 78267.59076008058],\n    [0.00000000002, 4.77873510695, 365230.64398203876],\n    [0.00000000002, 3.54043808451, 64741.95798313119],\n    [0.00000000002, 1.60502923885, 77734.01845962799],\n    [0.00000000002, 3.11800510932, 150866.08680029298],\n    [0.00000000002, 1.0209874609, 78793.40038981718],\n    [0.00000000002, 4.39439085682, 88476.99497093359],\n    [0.00000000002, 1.49912329404, 43071.8992890308],\n    [0.00000000002, 1.96277160647, 25558.2121764796],\n    [0.00000000002, 4.76774165204, 77204.32749453338],\n    [0.00000000002, 0.61066658116, 155468.03691925599],\n    [0.00000000002, 5.26875308161, 77308.10968311399],\n    [0.00000000002, 0.5273609502, 94138.32702008578],\n    [0.00000000002, 2.05793854229, 103396.01282468818],\n    [0.00000000002, 4.12698349577, 66941.04532641819],\n    [0.00000000002, 5.43336870762, 78283.37918562238],\n    [0.00000000002, 1.97520131105, 136100.84775702319],\n    [0.00000000002, 5.54343111585, 81706.28436968799],\n    [0.00000000002, 1.25444219651, 40853.142184844],\n    [0.00000000002, 1.07684180123, 103292.23063610759],\n    [0.00000000001, 3.23979322492, 52156.1365222486],\n    [0.00000000002, 5.33834891475, 52182.9198301492],\n    [0.00000000002, 3.36867866204, 99799.65906923798],\n    [0.00000000002, 5.4069790667, 82815.66292178139],\n    [0.00000000001, 5.80853057947, 4551.9534970588],\n    [0.00000000001, 4.9590938512, 129483.91596626239],\n    [0.00000000001, 3.17481245588, 76674.63652943878],\n    [0.00000000001, 1.538031696, 52389.1053785864],\n    [0.00000000001, 2.48052961456, 53764.8791784322],\n    [0.00000000001, 1.20843095195, 105410.99449648599],\n    [0.00000000002, 3.64576833526, 45405.0956819028],\n    [0.00000000002, 4.00710217385, 104881.30353139139],\n    [0.00000000001, 3.0953209452, 76044.9523205358],\n    [0.00000000001, 5.52119023864, 58946.51688439399],\n    [0.00000000002, 5.53036712466, 131548.89425996438],\n    [0.00000000001, 0.38352295948, 52179.6876185064],\n    [0.00000000001, 0.08902944955, 51116.4243529592],\n    [0.00000000001, 1.4751416667, 62389.09182935939],\n    [0.00000000001, 4.20864838814, 131498.89763806018],\n    [0.00000000001, 2.88161012078, 79219.30916633119],\n    [0.00000000001, 5.03155341199, 51646.11531805379],\n    [0.00000000001, 0.05873279909, 53131.406024757],\n    [0.00000000001, 0.606476206, 38654.05484155699],\n    [0.00000000001, 1.58007357234, 391318.54712361297],\n    [0.00000000001, 0.68687557696, 130969.20667296558],\n    [0.00000000001, 3.90367213586, 129380.13377768178],\n    [0.00000000001, 2.11138180302, 32858.61374281979],\n    [0.00000000001, 0.18542211423, 78244.0396638228],\n    [0.00000000001, 1.24063083423, 9103.9069941176],\n    [0.00000000001, 1.78547815249, 188276.65404017158],\n    [0.00000000001, 0.94125502564, 93028.94846799239],\n    [0.00000000001, 2.41309932759, 55618.3812281138],\n    [0.00000000001, 2.29683748973, 52195.47604404819],\n    [0.00000000001, 3.39284109553, 25028.521211385],\n    [0.00000000001, 4.29717383023, 26301.2022370122],\n    [0.00000000001, 6.10639166059, 102132.85546210999],\n    [0.00000000001, 4.58189329524, 37410.5672398786],\n    [0.00000000001, 6.16145880062, 125887.56221081219],\n    [0.00000000001, 5.22010441376, 52171.9249477904],\n    [0.00000000001, 5.95645110567, 80482.46652890938],\n    [0.00000000001, 4.81981872221, 26107.57290247399],\n    [0.00000000001, 4.27546069271, 36301.18868778519],\n    [0.00000000001, 2.43374991272, 51535.90899683439],\n    [0.00000000001, 4.03088051207, 1109.3785520934],\n    [0.00000000001, 5.60495524983, 207593.84658050018],\n    [0.00000000001, 4.89918476796, 35191.8101356918],\n    [0.00000000001, 6.07747011982, 27676.976036858],\n    [0.00000000001, 5.48361013686, 29530.4780865396],\n    [0.00000000001, 0.15288602386, 25448.00585526019],\n    [0.00000000001, 2.18342825402, 63498.47038145279],\n    [0.00000000001, 3.67054321453, 21535.9496445154],\n    [0.00000000001, 1.49815422727, 26084.0218062162],\n    [0.00000000001, 1.75551273491, 26095.016688575],\n    [0.00000000001, 2.60061927559, 12566.1516999828],\n    [0.00000000001, 2.69537843932, 52290.24557183361],\n    [0.00000000001, 4.87760109673, 25874.6040461362],\n    [0.00000000001, 2.82170820105, 26091.7844769322],\n    [0.00000000001, 0.20736391933, 52061.36699446317],\n    [0.00000000001, 3.82330817663, 68050.42387851159],\n    [0.00000000001, 4.42501613287, 22645.32819660879],\n    [0.00000000001, 6.01128227925, 52168.69273614759],\n    [0.00000000001, 0.28595674172, 11322.6640983044],\n    [0.00000000001, 5.86280830053, 26202.34243025941],\n    [0.00000000001, 3.42109354799, 25973.46385288896],\n    [0.00000000001, 0.300500653, 41962.5207369374],\n    [0.00000000001, 2.73414310032, 25035.6347583858],\n    [0.00000000001, 1.72346523407, 51962.5071877104],\n    [0.00000000001, 4.77297529316, 78477.00852016058],\n    [0.00000000001, 5.84491832575, 50057.04242277],\n    [0.00000000001, 3.2207229087, 25021.4076643842],\n    [0.00000000001, 4.74388045372, 26514.5013324502],\n    [0.00000000001, 4.31760630574, 69159.80243060499],\n    [0.00000000001, 0.65529515413, 426.598190876],\n    [0.00000000001, 5.58694327783, 79852.78232000639],\n    [0.00000000001, 6.07111696987, 102762.53967101299],\n    [0.00000000001, 5.84438975852, 105307.21230790539],\n    [0.00000000001, 2.82906439989, 24498.8302462904],\n];\n\nconst VSOP87_L4: Vsop87Element = [\n    [0.00000114078, Math.PI],\n    [0.00000003247, 2.02848007619, 26087.9031415742],\n    [0.00000001914, 1.41731803758, 78263.70942472259],\n    [0.00000001727, 4.50137643801, 52175.8062831484],\n    [0.00000001237, 4.49970181057, 104351.61256629678],\n    [0.00000000645, 1.26591776986, 130439.51570787099],\n    [0.00000000298, 4.30600984981, 156527.41884944518],\n    [0.00000000128, 1.05702505039, 182615.32199101939],\n    [0.00000000051, 4.08566191934, 208703.22513259358],\n    [0.0000000002, 0.82130394681, 234791.12827416777],\n    [0.00000000008, 3.82199615635, 260879.03141574195],\n    [0.00000000003, 0.54824060574, 286966.93455731616],\n    [0.00000000002, 3.52134138964, 313054.83769889036],\n    [0.00000000001, 1.6743511854, 24978.5245894808],\n    [0.00000000002, 4.60718203612, 51066.427731055],\n    [0.00000000001, 1.11396201203, 129330.13715577759],\n    [0.00000000001, 4.35040700322, 103242.23401420339],\n    [0.00000000001, 4.17434865844, 79373.08797681599],\n    [0.00000000001, 1.20388630609, 77154.33087262919],\n    [0.00000000001, 4.8467708474, 27197.2816936676],\n    [0.00000000001, 0.29913093643, 339142.74084046457],\n];\n\nconst VSOP87_L5: Vsop87Element = [\n    [0.00000000877, Math.PI],\n    [0.00000000059, 3.37513289692, 52175.8062831484],\n    [0.00000000042, 0.02433099382, 78263.70942472259],\n    [0.00000000043, 4.65071406046, 26087.9031415742],\n    [0.00000000031, 2.98112204944, 104351.61256629678],\n    [0.00000000019, 6.00992467582, 130439.51570787099],\n    [0.0000000001, 2.7569979192, 156527.41884944518],\n    [0.00000000005, 5.79082359724, 182615.32199101939],\n    [0.00000000002, 2.5143544823, 208703.22513259358],\n    [0.00000000001, 5.49411470932, 234791.12827416777],\n    [0.00000000001, 2.23688504668, 260879.03141574195],\n    [0.00000000001, 5.18718589133, 286966.93455731616],\n];\n\nconst VSOP87_B0: Vsop87Element = [\n    [0.11737528962, 1.98357498767, 26087.9031415742],\n    [0.02388076996, 5.03738959685, 52175.8062831484],\n    [0.01222839532, Math.PI],\n    [0.0054325181, 1.79644363963, 78263.70942472259],\n    [0.0012977877, 4.83232503961, 104351.61256629678],\n    [0.00031866927, 1.58088495667, 130439.51570787099],\n    [0.00007963301, 4.60972126348, 156527.41884944518],\n    [0.00002014189, 1.35324164694, 182615.32199101939],\n    [0.00000513953, 4.37835409309, 208703.22513259358],\n    [0.00000207674, 4.91772564073, 27197.2816936676],\n    [0.00000208584, 2.02020294153, 24978.5245894808],\n    [0.00000132013, 1.11908492283, 234791.12827416777],\n    [0.00000100454, 5.65684734206, 20426.571092422],\n    [0.00000121395, 1.81271752059, 53285.1848352418],\n    [0.00000091566, 2.28163128692, 25028.521211385],\n    [0.00000099214, 0.09391887097, 51116.4243529592],\n    [0.00000094574, 1.24184909234, 31749.2351907264],\n    [0.00000078785, 4.4072588, 57837.1383323006],\n    [0.00000077747, 0.52557061749, 1059.3819301892],\n    [0.00000084264, 5.08510388314, 51066.427731055],\n    [0.00000049948, 3.49752993688, 5661.3320491522],\n    [0.00000046454, 3.23739270829, 77204.32749453338],\n    [0.00000044767, 4.87849816734, 79373.08797681599],\n    [0.00000040766, 2.46558332165, 46514.4742339962],\n    [0.00000037378, 4.45768797944, 4551.9534970588],\n    [0.00000034082, 4.14209210575, 260879.03141574195],\n    [0.00000035911, 1.09057317869, 1109.3785520934],\n    [0.00000031953, 1.18516389747, 83925.04147387479],\n    [0.00000030954, 3.5032802721, 21535.9496445154],\n    [0.00000031808, 2.41474588439, 47623.8527860896],\n    [0.00000028691, 1.84828614269, 77154.33087262919],\n    [0.00000025765, 2.77593370583, 27043.5028831828],\n    [0.00000025199, 3.5906226646, 27147.28507176339],\n    [0.00000020244, 3.06833797229, 51646.11531805379],\n    [0.00000018591, 5.5842727444, 73711.75592766379],\n    [0.00000016971, 0.02791276551, 103292.23063610759],\n    [0.00000020099, 4.06593040301, 25132.3033999656],\n    [0.00000017002, 6.13739392193, 41962.5207369374],\n    [0.00000014984, 1.64717994813, 105460.99111839019],\n    [0.00000014186, 0.33074185469, 10213.285546211],\n    [0.00000015577, 6.07693643204, 53131.406024757],\n    [0.00000015795, 3.79629547258, 529.6909650946],\n    [0.00000014011, 5.52786452723, 72602.37737557039],\n    [0.00000012309, 3.16626298867, 14765.2390432698],\n    [0.00000011261, 0.11326534696, 13521.7514415914],\n    [0.00000012448, 4.05109331029, 39609.6545831656],\n    [0.00000013044, 3.48016433624, 37410.5672398786],\n    [0.00000011042, 4.23192662377, 110012.94461544899],\n    [0.00000011152, 0.5565846182, 63498.47038145279],\n    [0.00000010717, 1.53686240986, 25661.3049506982],\n    [0.00000010213, 2.87881017166, 12566.1516999828],\n    [0.00000009924, 0.94824584866, 65697.55772473979],\n    [0.00000011047, 5.79741510309, 51749.20809227239],\n    [0.0000001046, 5.82962163777, 50586.73338786459],\n    [0.00000009774, 1.6627176265, 24498.8302462904],\n    [0.00000009412, 1.82364886045, 15874.6175953632],\n    [0.00000012866, 4.81650804018, 30639.856638633],\n    [0.00000009123, 4.8860439411, 103242.23401420339],\n    [0.00000009011, 1.04262074744, 426.598190876],\n    [0.00000008735, 3.04132552652, 68050.42387851159],\n    [0.00000008491, 1.05130498445, 1589.0728952838],\n    [0.00000008835, 0.88128343813, 286966.93455731616],\n    [0.00000008823, 5.81343662067, 11322.6640983044],\n    [0.00000008196, 0.84015129448, 51220.20654153979],\n    [0.0000000764, 3.43584035231, 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   [0.00000000012, 0.18308102701, 130593.29451835579],\n    [0.00000000009, 5.24611723729, 138319.60486120995],\n    [0.00000000009, 5.64920582852, 1265.5674786264],\n    [0.00000000009, 6.25551575071, 53906.92863608099],\n    [0.00000000011, 3.36985744471, 142871.55835826878],\n    [0.00000000009, 5.47085206361, 156531.30018480319],\n    [0.00000000009, 4.79150958411, 101703.15774082378],\n    [0.00000000009, 2.73233240797, 38.1330356378],\n    [0.00000000009, 5.91954900221, 62197.64356324779],\n    [0.00000000009, 4.73154570336, 78378.14871340781],\n    [0.00000000011, 0.80389582741, 3328.13565628019],\n    [0.00000000009, 6.25489842872, 91919.56991589899],\n    [0.00000000009, 5.87197255624, 199599.31813847595],\n    [0.00000000009, 0.76033087382, 156523.53751408719],\n    [0.00000000008, 0.63159267832, 80174.90890793978],\n    [0.00000000009, 5.02352759781, 229129.79622501558],\n    [0.00000000008, 2.63272452796, 25138.7275326044],\n    [0.00000000008, 0.59154768044, 156954.01704032118],\n    [0.00000000008, 3.95681232703, 120417.67842777158],\n    [0.00000000008, 3.46882638388, 77616.69859140778],\n    [0.00000000008, 0.20349823136, 113455.51956041438],\n    [0.00000000008, 0.21724719953, 13541.42120249119],\n    [0.00000000008, 1.77719128692, 26076.8574413103],\n    [0.00000000009, 6.2187869044, 189853.99758261938],\n    [0.00000000007, 5.887681462, 51226.63067417859],\n    [0.00000000007, 0.61161547244, 158116.49174472898],\n    [0.00000000008, 2.05860519043, 78149.27013603736],\n    [0.00000000007, 0.09500184933, 90989.16285949759],\n    [0.00000000007, 0.56541937862, 25985.94062330859],\n    [0.00000000007, 0.73212945216, 78469.89497315978],\n    [0.00000000007, 0.44088896603, 104127.26777059489],\n    [0.00000000008, 5.86653927002, 104454.70534051539],\n    [0.00000000007, 0.70585294359, 52177.29075585669],\n    [0.00000000009, 1.96929942879, 1272.6810256272],\n    [0.0000000001, 2.72173324175, 104276.83096772949],\n    [0.00000000007, 5.1631579803, 26189.8656598398],\n    [0.00000000007, 5.1707974073, 179172.74704605396],\n    [0.00000000008, 5.26981396126, 48847.6706268682],\n    [0.00000000008, 0.19880797043, 1.4844727083],\n    [0.00000000007, 6.26371276121, 52174.32181044009],\n    [0.00000000008, 0.98956493578, 16703.062133499],\n    [0.00000000007, 0.08448723866, 26098.9488418381],\n    [0.00000000008, 5.67030179581, 53029.0026649004],\n    [0.00000000007, 1.15333561308, 261988.40996783535],\n    [0.00000000007, 0.70724943755, 65717.22748563958],\n    [0.00000000007, 0.52800551865, 103814.80805420138],\n    [0.00000000008, 2.25202792521, 149756.70824819959],\n    [0.00000000007, 1.45586274187, 51841.950342379],\n    [0.00000000007, 2.28027029168, 54374.8936264354],\n    [0.00000000007, 1.96795602434, 103395.32341032618],\n    [0.00000000007, 0.91100826202, 27972.80430499159],\n    [0.00000000007, 6.04142381509, 155475.15046625677],\n    [0.00000000008, 0.66187102958, 156740.71794488319],\n    [0.00000000007, 0.94700216301, 202420.14928260217],\n    [0.00000000008, 0.34397341638, 78339.97549599818],\n    [0.00000000008, 1.99164711035, 84944.93427812219],\n    [0.00000000006, 3.16647388859, 76041.85279012559],\n    [0.00000000007, 1.18920934641, 104984.39630560997],\n    [0.00000000007, 6.12812258419, 53867.97195265079],\n    [0.00000000007, 2.68832841048, 156377.85565231058],\n    [0.00000000007, 4.82261895829, 52286.01260436779],\n    [0.00000000006, 2.12110075547, 148.0787244263],\n    [0.00000000006, 3.05937939252, 151.0476698429],\n    [0.00000000007, 0.09315209734, 220025.88923089796],\n    [0.00000000008, 5.56250511075, 52509.6622239178],\n    [0.00000000006, 2.57622376266, 224577.84272795678],\n    [0.00000000007, 2.65171386195, 220.4126424388],\n    [0.00000000006, 2.00091220299, 102018.41617342478],\n    [0.00000000007, 0.86158158633, 50444.6839302158],\n    [0.00000000007, 1.6199048214, 103189.13786188899],\n    [0.00000000006, 2.68512587119, 77520.71936418998],\n    [0.00000000006, 4.82671721903, 154308.66174525839],\n    [0.00000000006, 2.40727316051, 78800.51393681798],\n    [0.00000000006, 5.66286619587, 234261.43730907318],\n    [0.00000000007, 1.38238075345, 106470.37642667518],\n    [0.00000000007, 4.6219355895, 81591.84508100279],\n    [0.00000000007, 0.26927581545, 127098.90328117118],\n    [0.00000000006, 0.92172283144, 57503.2823915312],\n    [0.00000000006, 5.39808870469, 130020.03106399579],\n    [0.00000000006, 2.52761413373, 52817.21984488739],\n    [0.00000000006, 0.06817978613, 53757.76563143139],\n    [0.00000000007, 3.1354731214, 155460.92337225519],\n    [0.00000000005, 2.17501494391, 209232.91609768818],\n    [0.00000000005, 2.16759656006, 104241.40624507738],\n    [0.00000000006, 2.68409858369, 130005.80396999417],\n    [0.00000000005, 1.58914721681, 50167.24874398939],\n    [0.00000000005, 1.01687539089, 55638.05098901359],\n    [0.00000000007, 1.31888655444, 149846.19399604558],\n    [0.00000000005, 2.48117306579, 9384.8410080752],\n    [0.00000000005, 3.70948655428, 266540.36346489414],\n    [0.00000000007, 5.71513815276, 70383.6202713836],\n    [0.00000000006, 4.55015130253, 51955.39364070959],\n    [0.00000000005, 3.51602263966, 102975.83876645098],\n    [0.00000000005, 3.69945557546, 39450.3528483734],\n    [0.00000000005, 3.98232048303, 53771.99272543299],\n    [0.00000000006, 1.01394190869, 77940.20400806518],\n    [0.00000000005, 2.50588363651, 102872.74599223239],\n    [0.00000000007, 3.0124494408, 50264.6067999312],\n    [0.00000000006, 0.45316437598, 50064.15596977079],\n    [0.00000000007, 6.03933985106, 1485.9801210652],\n    [0.00000000005, 1.35734487293, 53814.87580033639],\n    [0.00000000005, 4.43939776623, 51534.3927214094],\n    [0.00000000005, 2.29075654159, 61560.64729122359],\n    [0.00000000005, 0.07896316759, 78057.52387628538],\n    [0.00000000005, 0.95484155225, 130907.48069822539],\n    [0.00000000005, 1.56485117164, 53399.624123927],\n    [0.00000000005, 4.55586232099, 52137.67324751059],\n    [0.00000000006, 4.34778590755, 156534.53239644598],\n    [0.00000000005, 3.7269181897, 128747.35003836859],\n    [0.00000000004, 0.56386565513, 189386.03259226495],\n    [0.00000000004, 2.67910077904, 107692.22499299659],\n    [0.00000000006, 6.10947724529, 104248.51979207818],\n    [0.00000000004, 3.99859010561, 104401.60918820098],\n    [0.00000000004, 0.51280078907, 54344.56676543099],\n    [0.00000000005, 4.1991766574, 129586.31932611899],\n    [0.00000000004, 5.91763059229, 52041.69723356339],\n    [0.00000000005, 3.1863383495, 181975.42470470538],\n    [0.00000000005, 0.99354989216, 1795.258443721],\n    [0.00000000004, 6.20030341798, 209762.60706278277],\n    [0.00000000004, 4.57601261459, 184834.07909520617],\n    [0.00000000006, 4.81632935419, 77741.13200662879],\n    [0.00000000004, 2.32553366031, 53265.515074342],\n    [0.00000000004, 4.83867556795, 52755.49387014719],\n    [0.00000000004, 0.47379105299, 105403.88094948517],\n    [0.00000000004, 2.62000942355, 50049.92887576919],\n    [0.00000000005, 1.01847704961, 52309.9153327334],\n    [0.00000000004, 5.12416312887, 52027.72755872209],\n    [0.00000000004, 0.26524339921, 50007.0458008658],\n    [0.00000000005, 0.30725353996, 207747.62539098498],\n    [0.00000000004, 4.93794243881, 63786.3582415226],\n    [0.00000000004, 4.51168915835, 77956.15180375299],\n    [0.00000000005, 1.16733741695, 27566.76971563859],\n    [0.00000000004, 3.77703754152, 104501.17576343138],\n    [0.00000000004, 5.4485951193, 129971.55071751658],\n    [0.00000000005, 5.22593130125, 51329.7234483972],\n    [0.00000000004, 1.64237114391, 130446.14426677099],\n    [0.00000000004, 1.28513103275, 112545.88789950538],\n    [0.00000000004, 3.50115780256, 76152.05911134499],\n    [0.00000000004, 4.79032272131, 130432.88714897096],\n    [0.00000000004, 5.62786746084, 43981.5309499398],\n    [0.00000000004, 4.1268797505, 52024.75861330549],\n    [0.00000000004, 5.13202982684, 735.8765135318],\n    [0.00000000004, 4.64327471216, 76255.15188556358],\n    [0.00000000004, 1.34781477964, 106684.80895916879],\n    [0.00000000004, 2.34997151211, 177287.84588263658],\n];\n\nconst VSOP87_B1: Vsop87Element = [\n    [0.00429151362, 3.50169780393, 26087.9031415742],\n    [0.00146233668, Math.PI],\n    [0.00022675295, 0.0151536688, 52175.8062831484],\n    [0.00010894981, 0.48540174006, 78263.70942472259],\n    [0.00006353462, 3.42943919982, 104351.61256629678],\n    [0.00002495743, 0.16051210665, 130439.51570787099],\n    [0.00000859585, 3.18452433647, 156527.41884944518],\n    [0.00000277503, 6.21020774184, 182615.32199101939],\n    [0.00000086233, 2.95244391822, 208703.22513259358],\n    [0.00000026133, 5.97708962692, 234791.12827416777],\n    [0.00000027696, 0.29068938889, 27197.2816936676],\n    [0.00000012831, 3.37744320558, 53285.1848352418],\n    [0.0000001272, 0.53792661684, 24978.5245894808],\n    [0.00000007781, 2.71768609268, 260879.03141574195],\n    [0.00000007527, 3.58305121268, 51066.427731055],\n    [0.00000006183, 2.92383205004, 31749.2351907264],\n    [0.00000005453, 1.97318763801, 51116.4243529592],\n    [0.00000003394, 0.34761695275, 77154.33087262919],\n    [0.00000003481, 0.10739761667, 79373.08797681599],\n    [0.00000002932, 5.95430013169, 57837.1383323006],\n    [0.00000002742, 0.98758439378, 25028.521211385],\n    [0.00000002126, 4.16352818018, 47623.8527860896],\n    [0.00000002286, 5.74036496396, 286966.93455731616],\n    [0.0000000238, 4.0021366655, 21535.9496445154],\n    [0.00000001651, 4.43606584681, 27043.5028831828],\n    [0.00000001523, 1.97926797181, 5661.3320491522],\n    [0.00000001518, 5.01636479848, 77204.32749453338],\n    [0.00000001398, 0.66375029294, 20426.571092422],\n    [0.00000001345, 3.39193943388, 103242.23401420339],\n    [0.00000001297, 5.34251327744, 37410.5672398786],\n    [0.00000001076, 0.95624460335, 50586.73338786459],\n    [0.0000000105, 3.00944151152, 26107.57290247399],\n    [0.00000000918, 1.89988871166, 1059.3819301892],\n    [0.00000001063, 1.28486292967, 53131.406024757],\n    [0.00000000905, 3.34776562702, 25558.2121764796],\n    [0.00000000929, 4.81159652409, 51646.11531805379],\n    [0.00000000782, 6.08817839271, 529.6909650946],\n    [0.00000000783, 1.5096269941, 41962.5207369374],\n    [0.00000000794, 2.16868396183, 63498.47038145279],\n    [0.00000000731, 0.92148918837, 73711.75592766379],\n    [0.00000000755, 4.1091063739, 26068.2333806744],\n    [0.00000000703, 2.22466530621, 10213.285546211],\n    [0.00000000922, 2.30268247092, 1109.3785520934],\n    [0.00000000739, 3.05842748947, 105460.99111839019],\n    [0.00000000681, 1.40695567526, 51749.20809227239],\n    [0.00000000841, 5.9320678781, 26084.0218062162],\n    [0.00000000616, 5.9536898243, 39609.6545831656],\n    [0.0000000061, 2.96796433797, 25132.3033999656],\n    [0.00000000721, 1.16472614778, 46514.4742339962],\n    [0.00000000638, 1.16941585214, 26091.7844769322],\n    [0.00000000633, 3.07427024064, 30639.856638633],\n    [0.00000000665, 2.47994200156, 313054.83769889036],\n    [0.00000000669, 4.10310179631, 72602.37737557039],\n    [0.00000000495, 0.14776350456, 129330.13715577759],\n    [0.00000000474, 2.61466823958, 32858.61374281979],\n    [0.0000000047, 5.04436148211, 13521.7514415914],\n    [0.00000000494, 0.0743055645, 28306.66024576099],\n    [0.00000000459, 5.81611579004, 51220.20654153979],\n    [0.00000000467, 5.56622114735, 4551.9534970588],\n    [0.00000000433, 2.10197184422, 24498.8302462904],\n    [0.0000000043, 3.91046377635, 76674.63652943878],\n    [0.00000000436, 1.46213785727, 43071.8992890308],\n    [0.00000000383, 6.05537830853, 52195.47604404819],\n    [0.00000000335, 0.5599660533, 23869.1460373874],\n    [0.00000000369, 4.43217995206, 22645.32819660879],\n    [0.00000000329, 2.59508442112, 65697.55772473979],\n    [0.00000000346, 2.03170085305, 27147.28507176339],\n    [0.00000000424, 0.29775934661, 1589.0728952838],\n    [0.00000000378, 5.09810178577, 53235.18821333759],\n    [0.00000000308, 3.30225015955, 54394.56338733519],\n    [0.00000000314, 2.40932519602, 83925.04147387479],\n    [0.00000000364, 5.87784809361, 58946.51688439399],\n    [0.00000000352, 0.879394819, 52156.1365222486],\n    [0.00000000352, 5.92675293084, 25661.3049506982],\n    [0.0000000031, 2.69873876637, 52171.9249477904],\n    [0.00000000345, 0.84406679212, 98690.28051714458],\n    [0.00000000358, 6.14890038263, 56727.7597802072],\n    [0.00000000248, 2.3439684006, 51535.90899683439],\n    [0.00000000286, 2.39648280163, 19804.8272915828],\n    [0.00000000338, 1.55189200325, 52705.49724824299],\n    [0.00000000239, 3.35169081927, 52168.69273614759],\n    [0.00000000234, 2.51108507067, 77308.10968311399],\n    [0.00000000229, 5.16737598091, 36301.18868778519],\n    [0.00000000245, 4.269960324, 19317.1925403286],\n    [0.0000000021, 3.16281965425, 29530.4780865396],\n    [0.00000000212, 5.33861521612, 15874.6175953632],\n    [0.00000000291, 4.22929240183, 52179.6876185064],\n    [0.00000000263, 4.64138649646, 69159.80243060499],\n    [0.00000000235, 5.08060846802, 59414.4818747484],\n    [0.00000000251, 1.9004750479, 14765.2390432698],\n    [0.00000000253, 4.21581970504, 79219.30916633119],\n    [0.00000000194, 5.05904557922, 51109.31080595839],\n    [0.00000000188, 3.90664116889, 48733.23133818299],\n    [0.00000000207, 2.89949362192, 7.1135470008],\n    [0.00000000179, 4.43018837604, 77837.11123384659],\n    [0.00000000223, 2.96569885227, 110012.94461544899],\n    [0.00000000176, 5.15204624857, 89586.37352302698],\n    [0.00000000215, 4.50903357312, 78793.40038981718],\n    [0.00000000173, 3.1849677146, 155418.04029735178],\n    [0.00000000205, 1.89888752382, 79323.09135491178],\n    [0.00000000175, 2.91183047213, 82815.66292178139],\n    [0.00000000165, 0.4912369438, 25035.6347583858],\n    [0.00000000183, 1.42148796836, 77734.01845962799],\n    [0.00000000158, 3.63030783882, 49957.0491789616],\n    [0.00000000201, 4.78711687782, 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4.02158764895, 52712.61079524379],\n    [0.00000000004, 5.97032773544, 78731.674415077],\n    [0.00000000004, 5.13753166239, 137678.19129947099],\n    [0.00000000003, 5.3837822517, 79315.97780791098],\n    [0.00000000003, 4.90402266218, 77630.92568540938],\n    [0.00000000004, 3.35681065144, 80382.47328510099],\n    [0.00000000004, 3.34724303278, 55503.94193942859],\n    [0.00000000003, 4.39477038963, 102755.42612401219],\n    [0.00000000004, 2.19880101386, 137210.22630911658],\n    [0.00000000003, 1.9219127492, 87367.61641884019],\n    [0.00000000004, 3.62687237484, 78149.27013603736],\n    [0.00000000003, 5.34278285975, 77616.69859140778],\n    [0.00000000003, 4.04927793779, 183145.01295611398],\n    [0.00000000003, 2.33740424416, 86143.79857806159],\n    [0.00000000003, 0.29051326311, 66653.15746634839],\n    [0.00000000004, 3.19530187424, 103498.41618454478],\n    [0.00000000003, 1.8367025094, 78187.44335344699],\n    [0.00000000004, 6.08402133763, 233681.74972207438],\n    [0.00000000003, 5.44799723236, 52609.51802102519],\n    [0.00000000003, 3.88568044923, 156531.30018480319],\n    [0.00000000003, 1.56467339056, 183674.70392120858],\n    [0.00000000003, 2.37223694472, 11610.5519583742],\n    [0.00000000004, 2.36349454401, 3328.13565628019],\n    [0.00000000003, 2.21015804942, 130866.11389874699],\n    [0.00000000003, 1.00111385284, 12546.481939083],\n    [0.00000000003, 5.04736992413, 167850.08294774959],\n    [0.00000000004, 2.74224804458, 133882.09065283638],\n    [0.00000000003, 6.04124419781, 16066.0658614748],\n    [0.00000000003, 2.00390511344, 25984.8103673556],\n    [0.00000000003, 3.5845123152, 19406.6782881746],\n    [0.00000000003, 5.58865591583, 52381.99183158559],\n    [0.00000000003, 5.49839860031, 78786.28684281638],\n    [0.00000000003, 2.3525187781, 50483.640613646],\n    [0.00000000003, 2.23638545873, 417406.45026518717],\n    [0.00000000003, 0.89820153238, 182188.72380014337],\n    [0.00000000003, 2.18659555288, 196137.07343261078],\n    [0.00000000003, 1.23213629886, 183570.92173262799],\n    [0.00000000003, 0.65362427623, 1162.4747044078],\n    [0.00000000003, 2.37265737062, 141762.17980617538],\n    [0.00000000003, 2.3716713866, 103.0927742186],\n    [0.00000000003, 3.43071585489, 51219.51712717779],\n    [0.00000000002, 5.43620933898, 240452.46032331996],\n    [0.00000000002, 4.79210725186, 64901.25971792339],\n    [0.00000000003, 0.58543714627, 136722.59155786238],\n    [0.00000000002, 3.65273296014, 53029.0026649004],\n    [0.00000000003, 1.40305085463, 52278.89905736699],\n    [0.00000000003, 2.91888451759, 235900.50682626116],\n    [0.00000000002, 5.24862580724, 32769.1279949738],\n    [0.00000000003, 0.92825301327, 29428.515568274],\n    [0.00000000002, 1.28026650043, 96357.08412427259],\n    [0.00000000003, 3.47745075021, 49842.60989027639],\n    [0.00000000003, 1.27522510736, 44295.7171298094],\n    [0.00000000003, 2.06356044829, 181659.72224941078],\n    [0.00000000002, 1.82577636633, 181026.24909573558],\n    [0.00000000002, 3.73653346143, 48847.6706268682],\n    [0.00000000002, 4.29258038531, 198489.93958638258],\n    [0.00000000003, 1.30423082531, 26237.46633870879],\n    [0.00000000002, 5.6240507486, 112231.70171963578],\n    [0.00000000003, 4.3496990758, 78213.71280281838],\n    [0.00000000002, 4.40950391344, 155475.15046625677],\n    [0.00000000002, 5.10859116787, 27669.86248985719],\n    [0.00000000002, 2.40342983563, 53771.99272543299],\n    [0.00000000002, 1.76898437388, 104505.39137678158],\n    [0.00000000002, 1.13321786137, 208173.53416749898],\n    [0.00000000003, 4.95012664609, 102769.65321801379],\n    [0.00000000002, 2.37593594042, 51951.46148744649],\n    [0.00000000003, 0.6555617912, 1692.1656695024],\n    [0.00000000002, 1.65727778641, 163766.09444104518],\n];\n\nconst VSOP87_B2: Vsop87Element = [\n    [0.00011830934, 4.79065585784, 26087.9031415742],\n    [0.00001913516],\n    [0.00001044801, 1.21216540536, 52175.8062831484],\n    [0.00000266213, 4.43418336532, 78263.70942472259],\n    [0.0000017028, 1.62255638714, 104351.61256629678],\n    [0.000000963, 4.80023692017, 130439.51570787099],\n    [0.00000044692, 1.60758267772, 156527.41884944518],\n    [0.00000018316, 4.66904655377, 182615.32199101939],\n    [0.00000006927, 1.4340488893, 208703.22513259358],\n    [0.00000002479, 4.47495202955, 234791.12827416777],\n    [0.00000001739, 1.830800396, 27197.2816936676],\n    [0.00000000852, 1.22749255198, 260879.03141574195],\n    [0.00000000641, 4.87358642253, 53285.1848352418],\n    [0.00000000301, 1.9609892443, 51066.427731055],\n    [0.00000000306, 5.03912693671, 24978.5245894808],\n    [0.00000000284, 4.25874901943, 286966.93455731616],\n    [0.00000000235, 3.14549432371, 51116.4243529592],\n    [0.00000000232, 4.22847849119, 31749.2351907264],\n    [0.00000000186, 5.05207772442, 77154.33087262919],\n    [0.00000000143, 5.71074961492, 21535.9496445154],\n    [0.00000000114, 5.6223246077, 27043.5028831828],\n    [0.00000000123, 1.51066137419, 79373.08797681599],\n    [0.00000000093, 1.83776226489, 103242.23401420339],\n    [0.00000000081, 0.85802178989, 57837.1383323006],\n    [0.00000000079, 5.50027152752, 47623.8527860896],\n    [0.00000000093, 1.01040170383, 313054.83769889036],\n    [0.00000000058, 2.35944147105, 53131.406024757],\n    [0.00000000074, 2.28645155343, 50586.73338786459],\n    [0.00000000049, 1.7819375356, 28306.66024576099],\n    [0.00000000058, 5.88387132512, 77204.32749453338],\n    [0.0000000006, 0.54679388547, 37410.5672398786],\n    [0.00000000046, 5.77182292982, 529.6909650946],\n    [0.00000000052, 3.58488737294, 25558.2121764796],\n    [0.00000000061, 1.64891174657, 20426.571092422],\n    [0.00000000043, 6.15538236294, 51646.11531805379],\n    [0.00000000042, 4.89875940528, 129330.13715577759],\n    [0.00000000036, 5.61094806248, 22645.32819660879],\n    [0.00000000033, 4.34189175312, 32858.61374281979],\n    [0.00000000037, 4.50512068847, 26107.57290247399],\n    [0.00000000032, 1.99466664427, 25132.3033999656],\n    [0.0000000003, 0.7660773863, 5661.3320491522],\n    [0.00000000027, 4.8718083816, 54394.56338733519],\n    [0.00000000029, 5.66168505554, 26068.2333806744],\n    [0.00000000025, 3.31115218239, 1059.3819301892],\n    [0.00000000029, 2.70280425915, 41962.5207369374],\n    [0.00000000029, 3.56940606994, 63498.47038145279],\n    [0.00000000029, 4.01947170286, 339142.74084046457],\n    [0.00000000028, 0.80200569507, 39609.6545831656],\n    [0.00000000023, 5.30820497885, 23869.1460373874],\n    [0.00000000024, 4.8636944533, 46514.4742339962],\n    [0.00000000027, 3.32081057071, 10213.285546211],\n    [0.0000000003, 1.15631768661, 26084.0218062162],\n    [0.00000000024, 2.71284750937, 26091.7844769322],\n    [0.00000000021, 5.85119251529, 25874.6040461362],\n    [0.00000000026, 3.11971794265, 43071.8992890308],\n    [0.00000000023, 1.1425826685, 58946.51688439399],\n    [0.00000000021, 4.78965226125, 51220.20654153979],\n    [0.00000000025, 5.17153436907, 76674.63652943878],\n    [0.0000000002, 6.05659966832, 25028.521211385],\n    [0.00000000017, 4.06375348164, 51535.90899683439],\n    [0.00000000019, 2.26589689692, 72602.37737557039],\n    [0.00000000019, 2.02802084878, 73711.75592766379],\n    [0.0000000002, 2.44092663198, 51749.20809227239],\n    [0.00000000017, 1.67702029587, 155418.04029735178],\n    [0.00000000018, 2.11191340126, 26617.5941066688],\n    [0.00000000019, 0.32685450395, 4551.9534970588],\n    [0.00000000016, 4.0210564377, 105460.99111839019],\n    [0.00000000014, 2.35860855509, 26080.78959457339],\n    [0.00000000013, 3.28426450224, 25661.3049506982],\n    [0.00000000016, 2.09223320909, 103292.23063610759],\n    [0.00000000013, 2.08475100066, 49957.0491789616],\n    [0.00000000014, 5.66400816218, 48733.23133818299],\n    [0.00000000013, 1.65023710844, 26095.016688575],\n    [0.00000000015, 5.43792291298, 25973.46385288896],\n    [0.00000000012, 5.15541566845, 79219.30916633119],\n    [0.00000000012, 2.93766606728, 33326.5787331742],\n    [0.00000000011, 5.16599347976, 15874.6175953632],\n    [0.00000000015, 3.49521469034, 83925.04147387479],\n    [0.00000000012, 1.33980027148, 77308.10968311399],\n    [0.00000000012, 2.74476655782, 19317.1925403286],\n    [0.00000000014, 5.48457159802, 98690.28051714458],\n    [0.00000000012, 6.17629016531, 36301.18868778519],\n    [0.00000000012, 5.16549673414, 1589.0728952838],\n    [0.0000000001, 3.19718718931, 24498.8302462904],\n    [0.0000000001, 3.10957426655, 16983.9961474566],\n    [0.0000000001, 2.67818215946, 77734.01845962799],\n    [0.00000000012, 1.64438976704, 26202.34243025941],\n    [0.00000000011, 6.12421691815, 52705.49724824299],\n    [0.0000000001, 5.42117419251, 14765.2390432698],\n    [0.00000000011, 1.59577581724, 50057.04242277],\n    [0.00000000012, 2.44342322463, 213.299095438],\n    [0.00000000011, 4.59333229552, 56727.7597802072],\n    [0.00000000008, 2.22267415318, 6283.0758499914],\n    [0.0000000001, 3.63881306668, 65697.55772473979],\n    [0.00000000008, 0.85708473896, 365230.64398203876],\n    [0.0000000001, 3.56346926379, 53235.18821333759],\n    [0.00000000009, 3.03935867498, 78793.40038981718],\n    [0.00000000008, 2.05186284069, 30639.856638633],\n    [0.00000000008, 6.07959531374, 59414.4818747484],\n    [0.00000000007, 1.48753095657, 29530.4780865396],\n    [0.00000000007, 0.54370332724, 38519.945791972],\n    [0.00000000008, 5.99792913268, 7.1135470008],\n    [0.00000000009, 6.08426293157, 69159.80243060499],\n    [0.00000000007, 1.3551301451, 82815.66292178139],\n    [0.00000000008, 3.00335450338, 40853.142184844],\n    [0.00000000007, 3.40544433462, 1066.49547719],\n    [0.00000000007, 5.80782632115, 45405.0956819028],\n    [0.00000000007, 3.82318715536, 1052.2683831884],\n    [0.00000000006, 4.57200111034, 55618.3812281138],\n    [0.00000000006, 4.85942618671, 52168.69273614759],\n    [0.00000000008, 0.34211699258, 79323.09135491178],\n    [0.00000000006, 0.6782367506, 110012.94461544899],\n    [0.00000000007, 4.12285655199, 45892.73043315699],\n    [0.00000000007, 5.41918774642, 1109.3785520934],\n    [0.00000000007, 3.14407932401, 51962.5071877104],\n    [0.00000000006, 5.13879522396, 76044.9523205358],\n    [0.00000000007, 2.06447590782, 124778.18365871879],\n    [0.00000000006, 1.61443478349, 3442.5749449654],\n    [0.00000000005, 2.013597281, 27676.976036858],\n    [0.00000000007, 5.49596353318, 23754.70674870219],\n    [0.00000000006, 0.7144527205, 27147.28507176339],\n    [0.00000000005, 5.5815366372, 68050.42387851159],\n    [0.00000000006, 4.72387999717, 52290.24557183361],\n    [0.00000000005, 1.65565332809, 80482.46652890938],\n    [0.00000000005, 4.67655631038, 181505.94343892598],\n    [0.00000000005, 5.35730277715, 12566.1516999828],\n    [0.00000000005, 2.24953488234, 52061.36699446317],\n    [0.00000000004, 1.93085125724, 52156.1365222486],\n    [0.00000000006, 5.23350745087, 129380.13377768178],\n    [0.00000000005, 6.27908880897, 66941.04532641819],\n    [0.00000000006, 0.86124028508, 52195.47604404819],\n    [0.00000000004, 0.23100295125, 89586.37352302698],\n    [0.00000000005, 4.23944686799, 103396.01282468818],\n    [0.00000000004, 0.29398633221, 51109.31080595839],\n    [0.00000000005, 0.38451698643, 955.5997416086],\n    [0.00000000005, 5.7581296517, 104881.30353139139],\n    [0.00000000005, 3.78671774559, 52171.9249477904],\n    [0.00000000004, 5.32828531774, 25448.00585526019],\n    [0.00000000005, 3.20016226905, 426.598190876],\n    [0.00000000005, 3.86489045633, 9103.9069941176],\n    [0.00000000004, 0.62543334322, 11322.6640983044],\n    [0.00000000004, 6.07508617692, 2118.7638603784],\n    [0.00000000004, 2.43638238426, 74821.13447975718],\n    [0.00000000004, 5.29735530203, 52179.6876185064],\n    [0.00000000003, 3.19112063073, 13521.7514415914],\n    [0.00000000004, 5.09850398144, 77837.11123384659],\n    [0.00000000004, 1.81128771043, 102762.53967101299],\n    [0.00000000004, 2.92685125689, 639.897286314],\n    [0.00000000004, 4.37998582536, 52182.9198301492],\n    [0.00000000004, 0.905624683, 77623.81213840858],\n    [0.00000000004, 3.40653389629, 105410.99449648599],\n    [0.00000000004, 5.56139758889, 26301.2022370122],\n    [0.00000000003, 3.84817111044, 2218.7571041868],\n    [0.00000000004, 3.40685398189, 52389.1053785864],\n    [0.00000000003, 3.64497587259, 64607.84893354619],\n    [0.00000000003, 4.90907522926, 99799.65906923798],\n    [0.00000000003, 0.33551297325, 13655.8604911764],\n    [0.00000000003, 4.38738526963, 108903.56606335558],\n    [0.00000000003, 2.7199654281, 38654.05484155699],\n    [0.00000000003, 5.2163956913, 150866.08680029298],\n    [0.00000000003, 5.79669813464, 131548.89425996438],\n    [0.00000000003, 4.24481036893, 136100.84775702319],\n    [0.00000000003, 4.74285528385, 53764.8791784322],\n    [0.00000000003, 5.12230469501, 32370.9789915656],\n    [0.00000000003, 4.9197929909, 18849.2275499742],\n    [0.00000000003, 1.21305125502, 105307.21230790539],\n    [0.00000000002, 2.6174140723, 71492.99882347698],\n    [0.00000000002, 5.29927753161, 64741.95798313119],\n    [0.00000000002, 2.59250638038, 155468.03691925599],\n    [0.00000000002, 5.60083003625, 26514.5013324502],\n    [0.00000000003, 4.14284031224, 85034.42002596818],\n    [0.00000000002, 3.04958336441, 93028.94846799239],\n    [0.00000000003, 6.16142033746, 78477.00852016058],\n    [0.00000000003, 4.49779099, 76144.94556434419],\n    [0.00000000002, 2.74114399659, 130969.20667296558],\n    [0.00000000002, 6.18606575651, 51123.53789995999],\n    [0.00000000003, 1.68659744145, 28421.0995344462],\n    [0.00000000002, 1.39891525246, 81706.28436968799],\n    [0.00000000002, 1.36487993355, 79852.78232000639],\n    [0.00000000002, 0.86961235954, 129483.91596626239],\n    [0.00000000002, 0.16105302705, 25021.4076643842],\n    [0.00000000002, 0.20969999844, 19804.8272915828],\n    [0.00000000002, 0.99320491085, 162188.75089859738],\n    [0.00000000002, 3.94039306142, 391318.54712361297],\n    [0.00000000002, 1.80783236802, 23969.1392811958],\n    [0.00000000002, 5.1209935622, 51322.60990139639],\n    [0.00000000002, 2.80140642811, 62389.09182935939],\n    [0.00000000002, 2.60965333457, 52602.4044740244],\n    [0.00000000002, 2.72257468038, 7994.5284420242],\n    [0.00000000002, 5.84222491614, 103821.92160120218],\n    [0.00000000002, 6.0451587872, 25035.6347583858],\n    [0.00000000001, 2.34997564292, 85502.38501632259],\n    [0.00000000001, 0.17409967102, 131498.89763806018],\n    [0.00000000001, 3.11496551907, 25934.1243310894],\n    [0.00000000002, 5.12532278095, 78267.59076008058],\n    [0.00000000001, 5.49175475674, 104331.94280539699],\n    [0.00000000001, 0.44808516059, 78050.41032928458],\n    [0.00000000002, 1.92656028088, 102132.85546210999],\n    [0.00000000002, 1.93198050022, 853.196381752],\n    [0.00000000001, 2.42972717822, 94138.32702008578],\n    [0.00000000002, 5.13550087739, 6770.7106012456],\n    [0.00000000001, 4.6544150087, 78259.82808936459],\n    [0.00000000001, 3.9968745549, 188276.65404017158],\n    [0.00000000001, 4.3906969233, 104371.28232719658],\n    [0.00000000001, 1.64083661387, 78283.37918562238],\n    [0.00000000001, 1.50558734911, 78378.14871340781],\n    [0.00000000002, 6.27597485867, 91785.46086631398],\n    [0.00000000001, 4.00786092689, 78244.0396638228],\n    [0.00000000001, 1.70741856509, 28206.6670019526],\n    [0.00000000001, 5.31900403501, 78149.27013603736],\n    [0.00000000001, 1.40205887414, 44937.1306915484],\n    [0.00000000001, 1.03752853909, 104347.73123093879],\n    [0.00000000001, 0.66520680194, 419.4846438752],\n    [0.00000000001, 2.46437105095, 104355.49390165479],\n    [0.00000000001, 0.81835364761, 35191.8101356918],\n    [0.00000000001, 0.3378067084, 88476.99497093359],\n    [0.00000000001, 6.0834623193, 70269.18098269838],\n    [0.00000000001, 1.86810476133, 125887.56221081219],\n    [0.00000000001, 2.1046897466, 25619.9381512198],\n    [0.00000000001, 3.99494842792, 71025.03383312259],\n    [0.00000000001, 0.57714874874, 71980.63357473118],\n    [0.00000000001, 5.66312942513, 97580.90196505119],\n    [0.00000000001, 3.06688416266, 129909.82474277639],\n    [0.00000000001, 5.66709359706, 433.7117378768],\n    [0.00000000001, 0.91634007063, 103925.01437542078],\n    [0.00000000001, 6.02359186416, 181555.94006083018],\n    [0.00000000001, 1.44980129997, 26727.8004278882],\n    [0.00000000001, 1.4544292039, 207593.84658050018],\n    [0.00000000001, 1.12941846578, 60055.89543648739],\n    [0.00000000001, 1.16964771504, 134991.46920492979],\n];\n\nconst VSOP87_B3: Vsop87Element = [\n    [0.00000235423, 0.35387524604, 26087.9031415742],\n    [0.00000160537],\n    [0.00000018904, 4.36275460261, 52175.8062831484],\n    [0.00000006376, 2.50715381439, 78263.70942472259],\n    [0.0000000458, 6.14257817571, 104351.61256629678],\n    [0.00000003061, 3.12497552681, 130439.51570787099],\n    [0.00000001732, 6.26642412058, 156527.41884944518],\n    [0.00000000857, 3.07673166705, 182615.32199101939],\n    [0.00000000384, 6.14815319932, 208703.22513259358],\n    [0.00000000159, 2.9243737832, 234791.12827416777],\n    [0.00000000062, 5.97292432097, 260879.03141574195],\n    [0.00000000054, 3.31612529961, 27197.2816936676],\n    [0.00000000023, 2.74287679452, 286966.93455731616],\n    [0.00000000017, 0.77798463435, 24978.5245894808],\n    [0.00000000012, 6.24116133415, 53285.1848352418],\n    [0.00000000008, 5.79551081392, 313054.83769889036],\n    [0.00000000006, 5.81555175073, 31749.2351907264],\n    [0.00000000004, 4.67212195693, 51116.4243529592],\n    [0.00000000004, 3.36833718999, 77154.33087262919],\n    [0.00000000003, 0.26522113546, 103242.23401420339],\n    [0.00000000003, 0.79794705473, 27043.5028831828],\n    [0.00000000004, 0.82832725003, 21535.9496445154],\n    [0.00000000002, 2.57068697582, 339142.74084046457],\n    [0.00000000002, 1.8230939704, 1109.3785520934],\n    [0.00000000002, 0.74986942696, 47623.8527860896],\n    [0.00000000002, 3.61692083154, 50586.73338786459],\n    [0.00000000002, 4.70766241226, 51066.427731055],\n    [0.00000000001, 3.3368854909, 129330.13715577759],\n    [0.00000000001, 2.64641192612, 57837.1383323006],\n    [0.00000000001, 4.93247555987, 25558.2121764796],\n    [0.00000000002, 5.00344393497, 20426.571092422],\n    [0.00000000002, 4.80841415889, 25028.521211385],\n    [0.00000000002, 5.85039338716, 1059.3819301892],\n    [0.00000000001, 1.85116662745, 37410.5672398786],\n    [0.00000000002, 3.97317842825, 25132.3033999656],\n    [0.00000000001, 2.144942913, 79373.08797681599],\n    [0.00000000001, 2.53223701416, 46514.4742339962],\n    [0.00000000001, 5.8492163243, 5661.3320491522],\n    [0.00000000001, 3.81958470276, 53131.406024757],\n    [0.00000000001, 1.05410669937, 1589.0728952838],\n    [0.00000000001, 1.39436798574, 51646.11531805379],\n    [0.00000000001, 0.36358097174, 22645.32819660879],\n    [0.00000000001, 2.7660997227, 28306.66024576099],\n    [0.00000000001, 3.67689055309, 4551.9534970588],\n    [0.00000000001, 5.39398540975, 32858.61374281979],\n    [0.00000000001, 3.7357912717, 24498.8302462904],\n    [0.00000000001, 0.60289607514, 26068.2333806744],\n    [0.00000000001, 5.78167324673, 26107.57290247399],\n    [0.00000000001, 3.81913361795, 26091.7844769322],\n    [0.00000000001, 5.64455351094, 365230.64398203876],\n    [0.00000000001, 4.87981157471, 10213.285546211],\n    [0.00000000001, 2.44816565966, 26084.0218062162],\n];\n\nconst VSOP87_B4: Vsop87Element = [\n    [0.00000004276, 1.74579932115, 26087.9031415742],\n    [0.00000001023, Math.PI],\n    [0.00000000425, 4.03419509143, 52175.8062831484],\n    [0.00000000257, 0.20643590425, 78263.70942472259],\n    [0.00000000116, 3.75237354024, 104351.61256629678],\n    [0.00000000073, 1.18210375402, 130439.51570787099],\n    [0.00000000051, 4.54581086194, 156527.41884944518],\n    [0.00000000031, 1.44226942756, 182615.32199101939],\n    [0.00000000016, 4.56372679459, 208703.22513259358],\n    [0.00000000008, 1.34684622635, 234791.12827416777],\n    [0.00000000003, 4.40269422669, 260879.03141574195],\n    [0.00000000001, 4.69096566687, 27197.2816936676],\n    [0.00000000001, 1.16082903756, 286966.93455731616],\n];\n\nconst VSOP87_B5: Vsop87Element = [\n    [0.00000000106, 3.94555784256, 26087.9031415742],\n    [0.00000000075, Math.PI],\n    [0.00000000022, 1.30514874546, 52175.8062831484],\n    [0.00000000007, 4.99717136857, 78263.70942472259],\n    [0.00000000004, 2.05662545278, 104351.61256629678],\n    [0.00000000002, 5.43162058632, 130439.51570787099],\n    [0.00000000001, 2.68052517331, 156527.41884944518],\n    [0.00000000001, 6.00841870284, 182615.32199101939],\n];\n\nconst VSOP87_R0: Vsop87Element = [\n    [0.39528271652],\n    [0.07834131817, 6.19233722599, 26087.9031415742],\n    [0.00795525557, 2.95989690096, 52175.8062831484],\n    [0.00121281763, 6.01064153805, 78263.70942472259],\n    [0.00021921969, 2.77820093975, 104351.61256629678],\n    [0.00004354065, 5.82894543257, 130439.51570787099],\n    [0.00000918228, 2.59650562598, 156527.41884944518],\n    [0.00000260033, 3.02817753482, 27197.2816936676],\n    [0.00000289955, 1.42441936951, 25028.521211385],\n    [0.00000201855, 5.6472504035, 182615.32199101939],\n    [0.00000201499, 5.59227724202, 31749.2351907264],\n    [0.0000014198, 6.25264202645, 24978.5245894808],\n    [0.00000100144, 3.73435608689, 21535.9496445154],\n    [0.00000077561, 3.66972526976, 20426.571092422],\n    [0.00000063277, 4.29905918105, 25558.2121764796],\n    [0.00000062951, 4.76588899933, 1059.3819301892],\n    [0.00000066754, 2.52520309182, 5661.3320491522],\n    [0.000000755, 4.47428642962, 51116.4243529592],\n    [0.00000048266, 6.06824478778, 53285.1848352418],\n    [0.00000045748, 2.41480951648, 208703.22513259358],\n    [0.00000035224, 1.05917802674, 27043.5028831828],\n    [0.00000040815, 2.35882016415, 57837.1383323006],\n    [0.00000044234, 1.21957314874, 15874.6175953632],\n    [0.00000033873, 0.86381554651, 25661.3049506982],\n    [0.00000037203, 0.5173382147, 47623.8527860896],\n    [0.00000030092, 1.79500530627, 37410.5672398786],\n    [0.00000028417, 3.02063625668, 51066.427731055],\n    [0.00000030903, 0.88366335532, 24498.8302462904],\n    [0.00000026105, 2.15021963174, 39609.6545831656],\n    [0.00000018699, 4.96496008403, 11322.6640983044],\n    [0.0000002127, 5.36857139841, 13521.7514415914],\n    [0.00000019422, 4.98378647655, 10213.285546211],\n    [0.00000016941, 3.88765393402, 26617.5941066688],\n    [0.00000015109, 0.44510589948, 46514.4742339962],\n    [0.00000017087, 1.24077764194, 77204.32749453338],\n    [0.0000001394, 1.62573946865, 27147.28507176339],\n    [0.00000013382, 1.07657890477, 51646.11531805379],\n    [0.00000015012, 4.28173463507, 41962.5207369374],\n    [0.00000013977, 4.77056848793, 33326.5787331742],\n    [0.00000012794, 6.06437138766, 1109.3785520934],\n    [0.00000013938, 1.99984876578, 25132.3033999656],\n    [0.00000016297, 2.63293587817, 19804.8272915828],\n    [0.00000011933, 2.36500939134, 4551.9534970588],\n    [0.00000010612, 5.46555460932, 234791.12827416777],\n    [0.00000012754, 2.07613721222, 529.6909650946],\n    [0.00000012069, 2.84997619452, 79373.08797681599],\n    [0.00000009069, 1.21263611811, 14765.2390432698],\n    [0.00000009491, 0.83697007534, 12566.1516999828],\n    [0.00000009379, 5.41195286503, 83925.04147387479],\n    [0.00000007499, 2.44636811119, 30639.856638633],\n    [0.00000007463, 5.53233943198, 32858.61374281979],\n    [0.00000007215, 1.17101960691, 16983.9961474566],\n    [0.00000008492, 3.56622930635, 73711.75592766379],\n    [0.00000007109, 5.32625264624, 426.598190876],\n    [0.00000006863, 1.82313992707, 36301.18868778519],\n    [0.0000000656, 4.27818149213, 43071.8992890308],\n    [0.00000008853, 3.87737694074, 50586.73338786459],\n    [0.00000006885, 5.3110852663, 1589.0728952838],\n    [0.00000005943, 4.06893157254, 53131.406024757],\n    [0.00000007653, 3.91505031889, 51749.20809227239],\n    [0.0000000646, 6.07127449283, 77154.33087262919],\n    [0.00000005415, 5.20028107807, 65697.55772473979],\n    [0.00000005186, 3.56743214904, 6283.0758499914],\n    [0.0000000409, 3.6759365871, 22645.32819660879],\n    [0.00000004075, 4.29142111073, 103292.23063610759],\n    [0.00000004428, 5.69109527379, 45892.73043315699],\n    [0.00000003426, 0.64911736234, 52705.49724824299],\n    [0.00000003354, 3.49345105494, 72602.37737557039],\n    [0.0000000412, 1.65386255382, 25448.00585526019],\n    [0.00000003261, 1.03195890028, 68050.42387851159],\n    [0.00000003278, 3.13863529552, 25874.6040461362],\n    [0.00000003054, 4.12578324522, 77734.01845962799],\n    [0.00000003614, 2.95861599353, 28306.66024576099],\n    [0.0000000282, 4.62628436074, 18849.2275499742],\n    [0.00000002746, 4.67880529205, 53235.18821333759],\n    [0.00000002713, 3.5687491398, 26068.2333806744],\n    [0.00000002507, 2.23312085627, 260879.03141574195],\n    [0.00000003044, 5.90613310181, 105460.99111839019],\n    [0.00000002755, 5.67587087632, 26107.57290247399],\n    [0.00000002267, 2.17941340037, 110012.94461544899],\n    [0.00000002274, 0.50173671332, 32370.9789915656],\n    [0.00000002741, 4.75427920262, 63498.47038145279],\n    [0.00000002792, 5.05148206806, 51220.20654153979],\n    [0.00000002557, 2.95114696617, 26080.78959457339],\n    [0.00000002135, 0.84621449019, 76674.63652943878],\n    [0.00000001971, 0.4740749431, 48733.23133818299],\n    [0.00000001965, 1.37420902653, 7238.6755916],\n    [0.00000002526, 0.34535290139, 23969.1392811958],\n    [0.00000002022, 0.33828477567, 99799.65906923798],\n    [0.00000001872, 3.93046425037, 38654.05484155699],\n    [0.00000001873, 0.69327393635, 26091.7844769322],\n    [0.00000001945, 2.37383894182, 6770.7106012456],\n    [0.00000001863, 2.26591720786, 26084.0218062162],\n    [0.0000000175, 5.50651903992, 56727.7597802072],\n    [0.00000001971, 3.77455887616, 19317.1925403286],\n    [0.00000001672, 2.15275897581, 26514.5013324502],\n    [0.00000001703, 4.28965990785, 40853.142184844],\n    [0.00000001657, 4.98021773372, 9103.9069941176],\n    [0.00000002084, 2.19427123968, 26301.2022370122],\n    [0.00000001818, 4.20870869718, 25938.3399444396],\n    [0.0000000178, 0.91702846577, 79219.30916633119],\n    [0.00000001525, 2.15720744047, 27676.976036858],\n    [0.00000001533, 1.54503054415, 955.5997416086],\n    [0.00000001614, 1.27565104562, 25035.6347583858],\n    [0.00000001743, 0.68269002122, 77837.11123384659],\n    [0.00000001389, 4.85102048256, 62389.09182935939],\n    [0.00000001436, 0.05742216761, 23869.1460373874],\n    [0.00000001563, 5.84795233948, 26095.016688575],\n    [0.0000000164, 4.66281337712, 25021.4076643842],\n    [0.00000001552, 2.83910580545, 103242.23401420339],\n    [0.00000001249, 1.97225274067, 91785.46086631398],\n    [0.0000000116, 1.73113341823, 38519.945791972],\n    [0.00000001005, 1.0589831486, 129380.13377768178],\n    [0.00000001041, 2.78036322434, 213.299095438],\n    [0.00000001105, 4.55512109515, 26011.6370702986],\n    [0.00000000979, 2.43870419667, 71980.63357473118],\n    [0.00000000853, 0.56334001923, 20760.4270331914],\n    [0.00000000874, 4.53679970936, 639.897286314],\n    [0.00000000783, 3.69782403005, 78793.40038981718],\n    [0.00000000772, 4.08714349549, 94138.32702008578],\n    [0.00000000797, 0.26237215917, 98690.28051714458],\n    [0.00000000965, 4.70784179954, 51535.90899683439],\n    [0.00000000952, 2.53604676495, 29530.4780865396],\n    [0.00000000773, 2.67893222158, 131548.89425996438],\n    [0.00000000734, 0.8924366949, 103821.92160120218],\n    [0.00000000668, 3.73113394924, 46848.3301747656],\n    [0.00000000828, 2.88184821542, 19406.6782881746],\n    [0.00000000622, 1.05579535631, 59414.4818747484],\n    [0.00000000676, 4.5035759936, 25934.1243310894],\n    [0.00000000602, 5.28399057704, 286966.93455731616],\n    [0.00000000619, 1.44855037685, 79323.09135491178],\n    [0.00000000691, 6.19733262608, 51962.5071877104],\n    [0.00000000563, 5.22994296186, 136100.84775702319],\n    [0.00000000782, 3.25257254691, 50057.04242277],\n    [0.00000000551, 0.33644229836, 52156.1365222486],\n    [0.00000000705, 4.7370537192, 26241.681952059],\n    [0.00000000577, 5.85654734429, 2118.7638603784],\n    [0.00000000517, 3.93195379429, 102762.53967101299],\n    [0.00000000635, 4.87720838965, 12432.0426503978],\n    [0.00000000635, 1.81903685898, 77308.10968311399],\n    [0.00000000543, 1.40877130839, 44937.1306915484],\n    [0.00000000556, 5.44324390449, 85034.42002596818],\n    [0.00000000496, 3.39004132624, 125887.56221081219],\n    [0.00000000546, 4.78005317483, 22747.2907148744],\n    [0.0000000052, 6.00172746972, 52168.69273614759],\n    [0.00000000463, 3.67549187956, 25668.418497699],\n    [0.00000000452, 3.53009000682, 58458.88213313979],\n    [0.00000000474, 5.9433051204, 54394.56338733519],\n    [0.00000000559, 2.44355554028, 52195.47604404819],\n    [0.00000000418, 3.73369494476, 103925.01437542078],\n    [0.00000000397, 0.6901460802, 64741.95798313119],\n    [0.00000000511, 5.88243734524, 45494.58142974879],\n    [0.00000000412, 2.26754404446, 82815.66292178139],\n    [0.00000000425, 5.24511927496, 52389.1053785864],\n    [0.00000000482, 0.98165400059, 25654.19140369739],\n    [0.0000000038, 3.74413132157, 52179.6876185064],\n    [0.00000000359, 5.50961077408, 26555.8681319286],\n    [0.00000000375, 1.97920050124, 149.5631971346],\n    [0.00000000385, 5.8899194879, 129330.13715577759],\n    [0.00000000348, 4.91064019959, 1052.2683831884],\n    [0.00000000417, 4.32916053867, 51123.53789995999],\n    [0.00000000425, 1.43228996047, 51109.31080595839],\n    [0.00000000464, 3.98651628073, 105307.21230790539],\n    [0.00000000329, 5.20636278221, 52602.4044740244],\n    [0.00000000354, 1.04383146533, 66941.04532641819],\n    [0.00000000324, 1.62975761811, 88476.99497093359],\n    [0.00000000378, 5.31676765847, 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104401.60918820098],\n    [0.00000000003, 3.34404708133, 130020.03106399579],\n    [0.00000000002, 1.22333771717, 76094.94894243999],\n    [0.00000000002, 0.6354233409, 1485.2907067032],\n    [0.00000000003, 5.24568241255, 6885.14988993081],\n    [0.00000000003, 2.46305012048, 133882.09065283638],\n    [0.00000000002, 0.84094631125, 163766.09444104518],\n    [0.00000000003, 2.12660879166, 42790.9652750732],\n    [0.00000000002, 2.98805690719, 26235.9818660005],\n    [0.00000000003, 3.26197855217, 156531.30018480319],\n    [0.00000000002, 4.50734435605, 25248.9338538238],\n    [0.00000000002, 4.32859791317, 1685.0521225016],\n    [0.00000000002, 5.62335584014, 28213.78054895339],\n    [0.00000000002, 3.87492323552, 199599.31813847595],\n    [0.00000000002, 2.60597304148, 26713.57333388659],\n    [0.00000000003, 4.15733644316, 51688.1715318942],\n    [0.00000000003, 4.33101389874, 220025.88923089796],\n    [0.00000000002, 4.46567523081, 31127.49138988719],\n    [0.00000000002, 3.66265576771, 26397.18146422999],\n    [0.00000000002, 4.68312774052, 49850.85687433279],\n    [0.00000000002, 4.51215350981, 52812.8025551726],\n    [0.00000000003, 3.56621882535, 154408.65498906678],\n    [0.00000000002, 3.95708432187, 1574.8458012822],\n    [0.00000000002, 2.41940194318, 104668.00443595338],\n    [0.00000000003, 0.24921211552, 25778.62481891839],\n    [0.00000000002, 3.18370791629, 207114.15223730978],\n    [0.00000000002, 4.17768592199, 51734.98099827079],\n    [0.00000000002, 1.74283332135, 76532.58707178998],\n    [0.00000000002, 1.36339547692, 6044.2285813754],\n    [0.00000000002, 2.82219230315, 63786.3582415226],\n    [0.00000000002, 5.27165023098, 75085.56363415498],\n    [0.00000000002, 5.7673572032, 25661.9943650602],\n    [0.00000000002, 5.2466618317, 24734.1543965574],\n    [0.00000000002, 5.31625926462, 24998.19435038059],\n    [0.00000000002, 0.17868115875, 177287.84588263658],\n    [0.00000000003, 5.47127542511, 27388.72995977919],\n    [0.00000000002, 2.48055036253, 25543.985082478],\n    [0.00000000002, 0.16253031708, 23113.2931869632],\n    [0.00000000003, 1.68453793975, 2703.6161546756],\n    [0.00000000002, 1.17069889009, 53551.5800829942],\n    [0.00000000003, 3.06893058902, 230239.17477710896],\n    [0.00000000003, 5.00145362139, 180496.55813064099],\n    [0.00000000002, 1.90098213386, 20272.7922819372],\n    [0.00000000003, 5.06877735444, 440.8252848776],\n    [0.00000000002, 1.33626564472, 196156.74319351057],\n    [0.00000000002, 4.50940380454, 65538.25598994759],\n    [0.00000000002, 4.55891488212, 2324.9494088156],\n    [0.00000000002, 0.21025125051, 18227.483749135],\n    [0.00000000002, 0.58359043648, 156377.85565231058],\n    [0.00000000002, 4.57189351312, 26926.87242932459],\n    [0.00000000002, 3.79747475767, 65851.33653522459],\n    [0.00000000002, 0.301390155, 50951.98844236979],\n    [0.00000000002, 3.94570007959, 225687.22128005016],\n    [0.00000000002, 0.99415397716, 2064.978293702],\n    [0.00000000002, 3.49827019018, 78905.12298646157],\n    [0.00000000002, 4.16512398869, 24864.08530079559],\n    [0.00000000002, 0.47605198546, 107692.22499299659],\n    [0.00000000002, 0.02213914405, 197092.67317421938],\n    [0.00000000002, 0.35795159068, 104301.61594439259],\n    [0.00000000002, 2.54426644231, 249268.47945736776],\n    [0.00000000002, 0.35872697789, 25462.2329492618],\n    [0.00000000002, 0.03956368481, 24189.5519236346],\n    [0.00000000002, 2.0068296723, 28786.3545889514],\n    [0.00000000002, 1.64612572499, 40738.70289615879],\n    [0.00000000002, 1.77509184801, 22595.33157470459],\n    [0.00000000002, 1.93881159123, 78697.42116259939],\n    [0.00000000002, 1.06567957268, 21562.2479643152],\n    [0.00000000003, 4.58782698256, 156954.01704032118],\n    [0.00000000002, 0.84740706727, 24494.89809302729],\n    [0.00000000002, 5.98697403459, 283524.35961235073],\n    [0.00000000002, 4.02135788869, 26238.95081141709],\n    [0.00000000002, 3.98649649262, 24808.1085689462],\n    [0.00000000002, 3.06252327958, 57369.17334194619],\n    [0.00000000002, 6.10258403438, 78115.63070029629],\n    [0.00000000002, 0.19431714321, 55484.27217852879],\n    [0.00000000002, 4.26819419359, 90989.16285949759],\n    [0.00000000002, 2.9494161028, 22065.64060961],\n    [0.00000000002, 4.53722544295, 52355.883413433],\n    [0.00000000002, 1.97399498955, 430.5303441391],\n    [0.00000000002, 1.99872081555, 24932.54198416719],\n    [0.00000000002, 0.37032643194, 26500.27423844859],\n    [0.00000000002, 3.83480132336, 307.5576209696],\n    [0.00000000002, 5.81356382744, 51538.81001112419],\n    [0.00000000002, 6.20773606719, 49.9966219042],\n    [0.00000000002, 2.40589345998, 77929.85348395319],\n    [0.00000000002, 4.51719783127, 21067.98465416099],\n    [0.00000000002, 2.06311358499, 23233.262767664],\n    [0.00000000002, 0.29430089395, 24765.2254940428],\n    [0.00000000002, 2.21513587213, 25675.5320446998],\n    [0.00000000002, 2.29291278322, 27410.5807891056],\n    [0.00000000002, 2.39356701559, 242985.40360737636],\n    [0.00000000002, 4.28957020884, 71378.55953479178],\n    [0.00000000002, 5.41199778568, 23704.71012679799],\n    [0.00000000002, 0.54252133289, 3.881335358],\n    [0.00000000002, 5.88236623932, 52072.0240945678],\n    [0.00000000002, 5.78749542412, 78373.91574594198],\n    [0.00000000002, 5.69226787602, 51040.1294112552],\n    [0.00000000002, 4.42185841709, 93696.66034953119],\n    [0.00000000002, 5.15491529148, 78112.66175487968],\n    [0.00000000002, 2.30493903824, 27883.16158529519],\n    [0.00000000002, 5.53948896377, 87253.17713015496],\n    [0.00000000002, 4.75957265478, 52336.2136525332],\n    [0.00000000002, 6.08199781417, 18043.37807764579],\n    [0.00000000002, 0.73324052336, 25757.28417791599],\n    [0.00000000002, 0.91928644358, 52186.8519834123],\n    [0.00000000002, 3.22142261212, 104771.09721017198],\n    [0.00000000002, 2.016713014, 46564.4708559004],\n    [0.00000000002, 4.39545799671, 41520.8540663828],\n    [0.00000000002, 2.52858429504, 26140.99929388859],\n    [0.00000000002, 2.07561943546, 53654.67285721279],\n    [0.00000000002, 0.08977124652, 25135.8265183146],\n    [0.00000000002, 1.67350036401, 66826.60603773296],\n    [0.00000000002, 4.57268426145, 158116.49174472898],\n    [0.00000000002, 2.84194927894, 78249.48233072099],\n    [0.00000000002, 3.07002924674, 23432.33476910039],\n    [0.00000000002, 4.11559657607, 123554.36581794015],\n    [0.00000000002, 0.05687800902, 26034.8069892598],\n    [0.00000000002, 4.28354458896, 24484.60315228879],\n    [0.00000000002, 3.24222429199, 21509.65132471559],\n    [0.00000000002, 2.52315832958, 210614.42461581076],\n    [0.00000000002, 4.44247371827, 148532.89040742096],\n    [0.00000000002, 0.11737800376, 146505.58156934578],\n    [0.00000000002, 2.4137136239, 54862.5283776896],\n    [0.00000000002, 4.66022680664, 247223.17092456557],\n    [0.00000000002, 3.79260774499, 3308.4658953804],\n    [0.00000000002, 5.83454304626, 2974.609954611],\n    [0.00000000002, 5.3787850016, 77622.29586298359],\n    [0.00000000002, 1.63153524958, 99979.73619952259],\n    [0.00000000002, 5.18613735503, 50600.9604818662],\n    [0.00000000002, 2.55420547959, 76064.62208143558],\n    [0.00000000002, 4.05996888958, 24502.76239955349],\n    [0.00000000002, 2.47809526116, 179966.86716554638],\n    [0.00000000002, 1.25528265056, 50912.6489205702],\n    [0.00000000002, 0.75306774592, 235746.72801577636],\n    [0.00000000002, 2.97464643769, 31219.5442256318],\n    [0.00000000001, 0.17722772219, 158438.61833266239],\n    [0.00000000002, 4.94589808424, 168959.46149984296],\n    [0.00000000002, 0.63110575282, 415.5524906121],\n    [0.00000000001, 0.77799418557, 299398.97720771392],\n    [0.00000000002, 5.97867896248, 164721.69418265378],\n    [0.00000000002, 5.62955025847, 21819.80896338059],\n    [0.00000000001, 4.93638931294, 27993.3679065146],\n    [0.00000000002, 6.22578827437, 74935.57376844239],\n    [0.00000000002, 1.03965665113, 1802.3719907218],\n    [0.00000000001, 5.61994219678, 50690.51557644519],\n    [0.00000000002, 5.02281046549, 422.6660376129],\n    [0.00000000001, 3.57619837497, 209658.82487420218],\n    [0.00000000002, 0.1124953909, 38469.94917006779],\n    [0.00000000002, 0.62470424533, 51745.27593900929],\n    [0.00000000001, 0.71806518278, 28928.40404660019],\n    [0.00000000002, 3.91669753023, 76352.50994150538],\n    [0.00000000002, 3.05277164813, 225.8292684102],\n    [0.00000000001, 4.33602746737, 4601.950118963],\n];\n\nconst VSOP87_R1: Vsop87Element = [\n    [0.00217347739, 4.65617158663, 26087.9031415742],\n    [0.00044141826, 1.42385543975, 52175.8062831484],\n    [0.00010094479, 4.47466326316, 78263.70942472259],\n    [0.00002432804, 1.24226083435, 104351.61256629678],\n    [0.00001624367],\n    [0.00000603996, 4.29303116561, 130439.51570787099],\n    [0.00000152851, 1.0606077981, 156527.41884944518],\n    [0.00000039202, 4.11136751416, 182615.32199101939],\n    [0.0000001776, 4.54424653085, 27197.2816936676],\n    [0.00000017999, 4.7119372581, 24978.5245894808],\n    [0.00000010154, 0.87893548494, 208703.22513259358],\n    [0.00000008086, 3.0054085489, 25028.521211385],\n    [0.00000004444, 2.13639058123, 20426.571092422],\n    [0.00000004393, 1.48074475165, 51066.427731055],\n    [0.0000000351, 3.21171223697, 1059.3819301892],\n    [0.00000003133, 5.23846336855, 21535.9496445154],\n    [0.0000000265, 3.92968881423, 234791.12827416777],\n    [0.00000002498, 2.02623950395, 24498.8302462904],\n    [0.00000002011, 1.23911360588, 53285.1848352418],\n    [0.00000001963, 4.04524902962, 5661.3320491522],\n    [0.00000001546, 2.61849590442, 26617.5941066688],\n    [0.00000001542, 2.35659537465, 27043.5028831828],\n    [0.00000001417, 1.37876323533, 1109.3785520934],\n    [0.00000001295, 5.19094850935, 46514.4742339962],\n    [0.00000001241, 0.21246226135, 11322.6640983044],\n    [0.0000000109, 6.23733263925, 27147.28507176339],\n    [0.00000001271, 0.56437938715, 25132.3033999656],\n    [0.0000000112, 0.86374628388, 57837.1383323006],\n    [0.00000001005, 3.28272284427, 37410.5672398786],\n    [0.00000001177, 4.53194022227, 77154.33087262919],\n    [0.00000000841, 5.96261035419, 14765.2390432698],\n    [0.00000000935, 2.37277497611, 25661.3049506982],\n    [0.00000000742, 0.77751594919, 32858.61374281979],\n    [0.00000000736, 4.0688529657, 1589.0728952838],\n    [0.00000000712, 2.70884051645, 16983.9961474566],\n    [0.00000000863, 5.55308682281, 25558.2121764796],\n    [0.00000000707, 0.92992556568, 30639.856638633],\n    [0.00000000696, 0.69734796212, 260879.03141574195],\n    [0.00000000678, 2.0219388593, 26068.2333806744],\n    [0.00000000608, 0.85708468483, 4551.9534970588],\n    [0.00000000546, 5.38138962861, 26091.7844769322],\n    [0.00000000608, 3.65993973133, 25448.00585526019],\n    [0.00000000597, 4.64867954048, 26080.78959457339],\n    [0.00000000572, 3.50125649521, 10213.285546211],\n    [0.00000000515, 4.83662922562, 50586.73338786459],\n    [0.00000000532, 5.21855381213, 22645.32819660879],\n    [0.00000000572, 0.62751016416, 13521.7514415914],\n    [0.00000000516, 3.89421000089, 83925.04147387479],\n    [0.00000000507, 5.55466020276, 12566.1516999828],\n    [0.00000000606, 4.50215566301, 28306.66024576099],\n    [0.00000000533, 0.93587795381, 26107.57290247399],\n    [0.00000000435, 5.79043985706, 43071.8992890308],\n    [0.00000000436, 5.86659160961, 25035.6347583858],\n    [0.00000000429, 0.26260280461, 36301.18868778519],\n    [0.00000000472, 6.00507778421, 77204.32749453338],\n    [0.00000000443, 3.86758570847, 26084.0218062162],\n    [0.00000000487, 4.23950195756, 26095.016688575],\n    [0.00000000406, 5.60324652352, 52705.49724824299],\n    [0.00000000523, 0.06439941262, 25021.4076643842],\n    [0.00000000379, 1.95647626585, 72602.37737557039],\n    [0.0000000039, 3.81996185881, 426.598190876],\n    [0.00000000418, 2.7752141866, 41962.5207369374],\n    [0.00000000453, 0.7280313725, 529.6909650946],\n    [0.00000000358, 6.00165335616, 33326.5787331742],\n    [0.00000000347, 1.39524259509, 23969.1392811958],\n    [0.0000000034, 0.24111380317, 26301.2022370122],\n    [0.00000000325, 4.78747749132, 23869.1460373874],\n    [0.0000000029, 3.04044859601, 53235.18821333759],\n    [0.00000000326, 1.30033833957, 103242.23401420339],\n    [0.00000000316, 2.22791434675, 19317.1925403286],\n    [0.00000000264, 3.93160763696, 6770.7106012456],\n    [0.00000000332, 3.59235758173, 51220.20654153979],\n    [0.00000000223, 2.76528831516, 103292.23063610759],\n    [0.00000000215, 3.97996009773, 56727.7597802072],\n    [0.00000000235, 2.2405050326, 25874.6040461362],\n    [0.00000000215, 6.16660008496, 51646.11531805379],\n    [0.00000000208, 2.74551899929, 40853.142184844],\n    [0.00000000204, 3.44654782597, 9103.9069941176],\n    [0.00000000197, 0.80026289238, 27676.976036858],\n    [0.00000000205, 3.20844012088, 18849.2275499742],\n    [0.00000000196, 1.99924288764, 48733.23133818299],\n    [0.00000000218, 2.11865566044, 73711.75592766379],\n    [0.00000000189, 0.65681038131, 110012.94461544899],\n    [0.00000000207, 5.89082708705, 31749.2351907264],\n    [0.00000000184, 3.74837387583, 286966.93455731616],\n    [0.00000000174, 5.81264188702, 68050.42387851159],\n    [0.00000000163, 4.00380715262, 79373.08797681599],\n    [0.00000000152, 5.07389967152, 52156.1365222486],\n    [0.00000000151, 2.83369443311, 955.5997416086],\n    [0.00000000151, 0.4095365021, 26514.5013324502],\n    [0.00000000147, 2.32191248197, 38654.05484155699],\n    [0.00000000154, 3.26437373895, 38519.945791972],\n    [0.00000000185, 0.98966099528, 29530.4780865396],\n    [0.0000000015, 3.69230644689, 65697.55772473979],\n    [0.00000000132, 2.71837382155, 77734.01845962799],\n    [0.0000000014, 2.05736044462, 6283.0758499914],\n    [0.00000000122, 3.31361750281, 62389.09182935939],\n    [0.00000000123, 2.07840148125, 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5.07507945312, 54824.2611086214],\n    [0.00000000001, 5.10858625008, 107679.74822257696],\n    [0.00000000001, 5.50068575093, 27819.0254945068],\n    [0.00000000001, 5.60579347269, 153084.84390447979],\n    [0.00000000001, 4.92352598929, 51596.1186961496],\n    [0.00000000001, 6.10538330268, 181659.72224941078],\n];\n\nconst VSOP87_R2: Vsop87Element = [\n    [0.00003117867, 3.08231840296, 26087.9031415742],\n    [0.00001245396, 6.15183317423, 52175.8062831484],\n    [0.00000424822, 2.9258335296, 78263.70942472259],\n    [0.0000013613, 5.97983925842, 104351.61256629678],\n    [0.00000042175, 2.74936980629, 130439.51570787099],\n    [0.00000021759, Math.PI],\n    [0.00000012793, 5.80143162209, 156527.41884944518],\n    [0.00000003825, 2.56993599584, 182615.32199101939],\n    [0.00000001042, 3.14648120079, 24978.5245894808],\n    [0.00000001131, 5.6214219697, 208703.22513259358],\n    [0.00000000483, 6.1430765452, 27197.2816936676],\n    [0.00000000332, 2.3899257567, 234791.12827416777],\n    [0.0000000032, 6.20674766565, 51066.427731055],\n    [0.0000000012, 0.56745598887, 20426.571092422],\n    [0.00000000113, 3.28048907943, 24498.8302462904],\n    [0.00000000105, 4.36663468239, 25028.521211385],\n    [0.00000000097, 5.44128884026, 260879.03141574195],\n    [0.00000000095, 1.70276410782, 1059.3819301892],\n    [0.00000000103, 2.98038190305, 77154.33087262919],\n    [0.00000000074, 1.286303818, 26617.5941066688],\n    [0.00000000057, 2.9675336298, 1109.3785520934],\n    [0.00000000066, 5.68201233964, 25132.3033999656],\n    [0.00000000053, 3.63699398162, 46514.4742339962],\n    [0.00000000059, 3.10922979724, 27043.5028831828],\n    [0.00000000053, 0.66673109494, 21535.9496445154],\n    [0.00000000043, 4.69270605698, 27147.28507176339],\n    [0.00000000042, 2.77372510028, 1589.0728952838],\n    [0.00000000036, 4.39741248058, 14765.2390432698],\n    [0.00000000035, 1.80468389323, 11322.6640983044],\n    [0.00000000043, 6.0742625499, 28306.66024576099],\n    [0.00000000033, 5.34572581657, 25448.00585526019],\n    [0.00000000031, 5.6648907507, 30639.856638633],\n    [0.00000000031, 2.36104565226, 32858.61374281979],\n    [0.00000000031, 4.27403143366, 16983.9961474566],\n    [0.00000000033, 3.22976052744, 23869.1460373874],\n    [0.00000000031, 0.5004107612, 22645.32819660879],\n    [0.00000000028, 2.21390393577, 286966.93455731616],\n    [0.00000000033, 6.03682885493, 103242.23401420339],\n    [0.00000000025, 4.23934105457, 52705.49724824299],\n    [0.00000000023, 2.59711556958, 23969.1392811958],\n    [0.00000000027, 2.10665521901, 25558.2121764796],\n    [0.00000000021, 0.4089238358, 72602.37737557039],\n    [0.00000000025, 5.69513499802, 5661.3320491522],\n    [0.00000000022, 4.86064608327, 26301.2022370122],\n    [0.00000000024, 0.66522740624, 19317.1925403286],\n    [0.0000000002, 5.61847810688, 4551.9534970588],\n    [0.00000000021, 2.30083904827, 51220.20654153979],\n    [0.00000000018, 0.4883903725, 26068.2333806744],\n    [0.00000000016, 6.07779022342, 50586.73338786459],\n    [0.00000000016, 1.47218845921, 53235.18821333759],\n    [0.00000000017, 2.94277588966, 53285.1848352418],\n    [0.00000000015, 2.39097980793, 83925.04147387479],\n    [0.00000000015, 3.85502950028, 26091.7844769322],\n    [0.00000000014, 4.13753968603, 12566.1516999828],\n    [0.00000000015, 5.51545801304, 6770.7106012456],\n    [0.00000000014, 5.67708505049, 57837.1383323006],\n    [0.00000000014, 5.73775080815, 27676.976036858],\n    [0.00000000016, 5.69298300679, 26107.57290247399],\n    [0.00000000014, 5.00837046884, 37410.5672398786],\n    [0.00000000015, 5.72321978212, 29530.4780865396],\n    [0.00000000012, 1.18827026407, 40853.142184844],\n    [0.00000000013, 2.34101240702, 26084.0218062162],\n    [0.00000000012, 2.43920574243, 56727.7597802072],\n    [0.00000000012, 1.12086684687, 43071.8992890308],\n    [0.00000000012, 1.86975778356, 9103.9069941176],\n    [0.00000000012, 4.9023641695, 36301.18868778519],\n    [0.0000000001, 2.33297570685, 426.598190876],\n    [0.00000000011, 2.80390774003, 129330.13715577759],\n    [0.0000000001, 5.86382886189, 26202.34243025941],\n    [0.00000000009, 0.03545904481, 25234.70675982219],\n    [0.00000000011, 0.92571990717, 639.897286314],\n    [0.0000000001, 3.94827815051, 25661.3049506982],\n    [0.00000000009, 0.00145195768, 49957.0491789616],\n    [0.00000000008, 5.42702003399, 110012.94461544899],\n    [0.00000000008, 3.39306818321, 25973.46385288896],\n    [0.00000000009, 4.83499870418, 38519.945791972],\n    [0.00000000008, 5.65148718768, 53131.406024757],\n    [0.00000000009, 5.73812314204, 51116.4243529592],\n    [0.00000000008, 1.98050481337, 13521.7514415914],\n    [0.00000000009, 0.95963913886, 78793.40038981718],\n    [0.00000000008, 5.24647237181, 313054.83769889036],\n    [0.00000000008, 3.52212788936, 52156.1365222486],\n    [0.00000000007, 3.57060093012, 48733.23133818299],\n    [0.00000000008, 3.47359025801, 98690.28051714458],\n    [0.00000000008, 5.32679971128, 51646.11531805379],\n    [0.0000000001, 5.07319693095, 25874.6040461362],\n    [0.00000000008, 4.34411026261, 31749.2351907264],\n    [0.00000000007, 3.44556423722, 26080.78959457339],\n    [0.00000000007, 5.28088749622, 77308.10968311399],\n    [0.00000000007, 3.46667099767, 2118.7638603784],\n    [0.00000000007, 1.96360039314, 10213.285546211],\n    [0.00000000007, 1.18631489114, 103292.23063610759],\n    [0.00000000007, 4.28693259279, 955.5997416086],\n    [0.00000000007, 0.88520158736, 38654.05484155699],\n    [0.00000000009, 2.1210015003, 18849.2275499742],\n    [0.00000000008, 2.75301666365, 26095.016688575],\n    [0.00000000007, 4.98530328971, 529.6909650946],\n    [0.00000000007, 0.20928215626, 33326.5787331742],\n    [0.00000000006, 4.54286088482, 79323.09135491178],\n    [0.00000000006, 0.60060875587, 52179.6876185064],\n    [0.00000000006, 1.21940434381, 41962.5207369374],\n    [0.00000000006, 1.74585091288, 62389.09182935939],\n    [0.00000000006, 2.13481309441, 51535.90899683439],\n    [0.00000000006, 4.92478078408, 26514.5013324502],\n    [0.00000000007, 4.18249532118, 77204.32749453338],\n    [0.00000000007, 1.68449319925, 52389.1053785864],\n    [0.00000000005, 4.28220819106, 68050.42387851159],\n    [0.00000000007, 1.69076988754, 12432.0426503978],\n    [0.00000000006, 3.73803069606, 45405.0956819028],\n    [0.00000000005, 2.6132037412, 79373.08797681599],\n    [0.00000000005, 2.82458540907, 54394.56338733519],\n    [0.00000000004, 6.27439443684, 52168.69273614759],\n    [0.00000000005, 4.50767453332, 13655.8604911764],\n    [0.00000000006, 2.41451327257, 52195.47604404819],\n    [0.00000000005, 5.35396003655, 52171.9249477904],\n    [0.00000000005, 5.48187638039, 82815.66292178139],\n    [0.00000000004, 2.46695073802, 55618.3812281138],\n    [0.00000000004, 2.40470389725, 53764.8791784322],\n    [0.00000000004, 4.24591997877, 66941.04532641819],\n    [0.00000000004, 3.26730161531, 7238.6755916],\n    [0.00000000004, 4.24517841791, 129380.13377768178],\n    [0.00000000004, 5.46706523938, 50057.04242277],\n    [0.00000000004, 2.17208918484, 136100.84775702319],\n    [0.00000000004, 5.86573287261, 155418.04029735178],\n    [0.00000000004, 4.15256069197, 32370.9789915656],\n    [0.00000000004, 2.92358717546, 2218.7571041868],\n    [0.00000000004, 2.22141015932, 33967.99229491319],\n    [0.00000000005, 5.74788858603, 52182.9198301492],\n    [0.00000000004, 0.97295961632, 44181.27784112419],\n    [0.00000000003, 5.78273085505, 28421.0995344462],\n    [0.00000000003, 3.65975480266, 99799.65906923798],\n    [0.00000000004, 3.98623592167, 26727.8004278882],\n    [0.00000000003, 2.65056124435, 76674.63652943878],\n    [0.00000000003, 4.91152657563, 47623.8527860896],\n    [0.00000000004, 1.60135504353, 77734.01845962799],\n    [0.00000000003, 0.26868606771, 78244.0396638228],\n    [0.00000000003, 4.58298191655, 1066.49547719],\n    [0.00000000003, 4.04696774318, 18093.37469954999],\n    [0.00000000003, 1.04981780528, 94138.32702008578],\n    [0.00000000003, 0.82425633309, 73711.75592766379],\n    [0.00000000003, 5.12180734718, 1052.2683831884],\n    [0.00000000003, 1.58544193974, 51109.31080595839],\n    [0.00000000003, 0.22337858409, 124778.18365871879],\n    [0.00000000003, 3.08207297479, 76044.9523205358],\n    [0.00000000003, 6.26000429251, 853.196381752],\n    [0.00000000003, 3.89747679105, 64741.95798313119],\n    [0.00000000003, 1.86869273254, 52602.4044740244],\n    [0.00000000004, 0.01480665337, 7.1135470008],\n    [0.00000000003, 1.95420622178, 103396.01282468818],\n    [0.00000000003, 6.00022344367, 29416.03879785439],\n    [0.00000000003, 1.0582738966, 51123.53789995999],\n    [0.00000000003, 3.9333618709, 104881.30353139139],\n    [0.00000000002, 4.80666683935, 88476.99497093359],\n    [0.00000000002, 2.56919394798, 51962.5071877104],\n    [0.00000000002, 5.19328838214, 91785.46086631398],\n    [0.00000000003, 4.94448744333, 44937.1306915484],\n    [0.00000000002, 0.39272598961, 23754.70674870219],\n    [0.00000000003, 3.64926786888, 78267.59076008058],\n    [0.00000000002, 1.93776267237, 117873.36400788819],\n    [0.00000000002, 0.16310879863, 28206.6670019526],\n    [0.00000000002, 2.74232958068, 52290.24557183361],\n    [0.00000000002, 1.94114905421, 7994.5284420242],\n    [0.00000000002, 0.39437121176, 125887.56221081219],\n    [0.00000000002, 1.03418813348, 155468.03691925599],\n    [0.00000000002, 2.06866763231, 339142.74084046457],\n    [0.00000000002, 1.29912216629, 105410.99449648599],\n    [0.00000000002, 0.5412418909, 74821.13447975718],\n    [0.00000000002, 2.12346357366, 65697.55772473979],\n    [0.00000000002, 2.54143985834, 78270.82297172339],\n    [0.00000000002, 4.87063627681, 35191.8101356918],\n    [0.00000000002, 0.51631216786, 71492.99882347698],\n    [0.00000000002, 0.7397688755, 18207.81398823521],\n    [0.00000000002, 5.50150244414, 78283.37918562238],\n    [0.00000000002, 4.78661791721, 78477.00852016058],\n    [0.00000000002, 4.40683761496, 103821.92160120218],\n    [0.00000000002, 3.07092516027, 78256.59587772179],\n    [0.00000000002, 5.01301614244, 3442.5749449654],\n    [0.00000000002, 2.58799752737, 181505.94343892598],\n    [0.00000000002, 4.95243490606, 129483.91596626239],\n    [0.00000000002, 4.12821833516, 77211.44104153418],\n    [0.00000000002, 4.05475453577, 120226.23016165999],\n    [0.00000000002, 3.34041291655, 151975.46535238638],\n    [0.00000000002, 3.27812728356, 51322.60990139639],\n    [0.00000000002, 4.06092192484, 77837.11123384659],\n    [0.00000000002, 5.22546741404, 162188.75089859738],\n    [0.00000000002, 5.57497617017, 71980.63357473118],\n    [0.00000000002, 1.86655156569, 23439.44831610119],\n    [0.00000000002, 4.79020891265, 15874.6175953632],\n    [0.00000000002, 2.43202419279, 45892.73043315699],\n    [0.00000000001, 4.91443985635, 78690.30761559859],\n    [0.00000000002, 2.55186486587, 39609.6545831656],\n    [0.00000000002, 2.04705904795, 433.7117378768],\n    [0.00000000001, 6.06582167254, 102132.85546210999],\n    [0.00000000002, 0.36512406083, 6283.0758499914],\n    [0.00000000002, 5.96418661485, 78050.41032928458],\n    [0.00000000001, 0.66730245858, 58458.88213313979],\n    [0.00000000001, 2.46652537811, 98068.53671630539],\n    [0.00000000002, 3.24884087108, 150866.08680029298],\n    [0.00000000002, 0.33626385981, 52061.36699446317],\n    [0.00000000001, 1.58214319162, 114564.89811250778],\n    [0.00000000001, 1.86505965946, 27140.17152476259],\n    [0.00000000001, 4.7095478466, 77197.21394753258],\n    [0.00000000001, 3.30080224324, 104331.94280539699],\n    [0.00000000002, 2.15014442693, 78259.82808936459],\n    [0.00000000001, 4.16909637294, 51742.09454527159],\n    [0.00000000002, 0.61993180902, 130969.20667296558],\n    [0.00000000001, 5.64166202504, 81706.28436968799],\n    [0.00000000001, 1.28449131177, 27154.3986187642],\n    [0.00000000001, 0.20716724934, 131548.89425996438],\n    [0.00000000001, 5.01586042695, 105460.99111839019],\n    [0.00000000001, 2.2014213773, 104371.28232719658],\n    [0.00000000001, 0.7154790308, 103925.01437542078],\n    [0.00000000001, 1.69298852699, 71025.03383312259],\n    [0.00000000002, 1.01857337375, 93028.94846799239],\n    [0.00000000002, 0.99564225222, 129909.82474277639],\n    [0.00000000001, 3.04953117213, 26941.0995233262],\n    [0.00000000001, 1.54774252742, 104564.91166173479],\n    [0.00000000001, 1.29736654025, 26241.681952059],\n    [0.00000000002, 0.39879309478, 104355.49390165479],\n    [0.00000000001, 1.73442408485, 64607.84893354619],\n    [0.00000000001, 3.52887677711, 97580.90196505119],\n    [0.00000000001, 3.55488474055, 84546.78527471398],\n    [0.00000000001, 2.68991734615, 59414.4818747484],\n    [0.00000000001, 2.23301107736, 107794.18751126219],\n    [0.00000000001, 6.04185199127, 104344.49901929598],\n    [0.00000000001, 2.33178230942, 108903.56606335558],\n    [0.00000000001, 5.23291332097, 134991.46920492979],\n    [0.00000000001, 5.42420842294, 79852.78232000639],\n    [0.00000000001, 5.56485897392, 104358.72611329758],\n    [0.00000000001, 2.03042058117, 76144.94556434419],\n    [0.00000000001, 4.42403586918, 25021.4076643842],\n    [0.00000000001, 4.07362401058, 181555.94006083018],\n    [0.00000000001, 4.39544806298, 131498.89763806018],\n    [0.00000000001, 3.37653548744, 22759.76748529401],\n    [0.00000000001, 3.34598726101, 24864.08530079559],\n    [0.00000000001, 0.81949463309, 52815.7035694624],\n    [0.00000000001, 4.13026377404, 2648.454825473],\n    [0.00000000001, 1.4070114617, 103285.11708910679],\n    [0.00000000001, 2.72338212355, 419.4846438752],\n    [0.00000000001, 2.8623972993, 63498.47038145279],\n    [0.00000000001, 4.60118276053, 19804.8272915828],\n    [0.00000000001, 3.76488909896, 51749.20809227239],\n    [0.00000000001, 5.71167880995, 78378.14871340781],\n    [0.00000000001, 3.11068504003, 54294.57014352679],\n    [0.00000000001, 5.17191010522, 1596.1864422846],\n    [0.00000000001, 0.84666659977, 26037.90651966999],\n    [0.00000000001, 1.27214241387, 39743.7636327506],\n    [0.00000000001, 3.62572271343, 51756.3216392732],\n    [0.00000000001, 0.99401491673, 50579.61984086379],\n    [0.00000000001, 2.65940437112, 79219.30916633119],\n    [0.00000000001, 2.78122688424, 157636.79740153858],\n    [0.00000000001, 5.02865728622, 365230.64398203876],\n    [0.00000000001, 4.26629771518, 26724.8994135984],\n    [0.00000000001, 0.69459147389, 90829.86112470538],\n    [0.00000000001, 3.74834736873, 44295.7171298094],\n    [0.00000000001, 2.67181600104, 5327.4761083828],\n    [0.00000000001, 5.10769130141, 58946.51688439399],\n    [0.00000000001, 0.55503171074, 69159.80243060499],\n    [0.00000000001, 4.68391610322, 90695.75207512038],\n    [0.00000000001, 5.17372763616, 149.5631971346],\n    [0.00000000001, 5.26044215633, 25934.1243310894],\n    [0.00000000001, 5.13679156205, 104347.73123093879],\n    [0.00000000001, 0.91197645609, 103299.34418310839],\n    [0.00000000001, 5.89466975855, 27311.72098235281],\n    [0.00000000001, 0.91206378451, 77829.99768684579],\n    [0.00000000001, 0.82686052448, 146314.13330323418],\n    [0.00000000001, 5.01041490382, 25450.90686955],\n    [0.00000000001, 0.74891931364, 10021.8372800994],\n    [0.00000000001, 3.75910629606, 25619.9381512198],\n    [0.00000000001, 1.57855828108, 61279.713277266],\n    [0.00000000001, 5.22196769252, 77623.81213840858],\n    [0.00000000001, 5.4428033736, 52643.7712735028],\n    [0.00000000001, 3.3876046343, 49842.60989027639],\n    [0.00000000001, 4.04176416141, 25565.3257234804],\n    [0.00000000001, 1.99169557218, 105940.68546158058],\n    [0.00000000001, 2.40126368211, 26555.8681319286],\n    [0.00000000001, 3.28153684541, 78149.27013603736],\n    [0.00000000001, 1.50606534242, 50593.84693486539],\n    [0.00000000001, 4.99390846744, 143961.26714946238],\n    [0.00000000001, 4.36279289081, 70269.18098269838],\n    [0.00000000001, 0.5633044687, 29428.515568274],\n    [0.00000000001, 1.96827343473, 188276.65404017158],\n    [0.00000000001, 6.1402409335, 3328.13565628019],\n    [0.00000000001, 4.38278455115, 52329.58509363319],\n    [0.00000000001, 5.32677211586, 26137.8997634784],\n    [0.00000000001, 5.49001686286, 7880.08915333899],\n    [0.00000000001, 2.08096369099, 26610.48055966799],\n    [0.00000000001, 2.81808749734, 54509.0026760204],\n    [0.00000000001, 3.85620334673, 26624.70765366959],\n    [0.00000000001, 1.15157832957, 536.8045120954],\n    [0.00000000001, 3.62974919098, 130012.91751699499],\n    [0.00000000001, 0.3597788856, 105307.21230790539],\n    [0.00000000001, 2.75970257539, 55503.94193942859],\n    [0.00000000001, 3.95087871071, 119116.85160956658],\n    [0.00000000001, 2.02746284465, 85034.42002596818],\n    [0.00000000001, 0.01631363612, 25668.418497699],\n    [0.00000000001, 4.69497491223, 1581.959348283],\n    [0.00000000001, 4.43589881789, 53242.3017603384],\n    [0.00000000001, 0.02851648548, 213.299095438],\n    [0.00000000001, 2.42155941603, 25551.09862947879],\n    [0.00000000001, 4.51335885923, 12546.481939083],\n    [0.00000000001, 3.0701219029, 104138.31347085879],\n    [0.00000000001, 4.25105785914, 65831.6667743248],\n    [0.00000000001, 0.26591217377, 89586.37352302698],\n    [0.00000000001, 3.25491459524, 46848.3301747656],\n    [0.00000000001, 5.00501348827, 51639.00177105299],\n    [0.00000000001, 3.55161443787, 116917.76426627958],\n    [0.00000000001, 0.12176395772, 6681.2248533996],\n    [0.00000000001, 0.06932929209, 48847.6706268682],\n    [0.00000000001, 0.08695556653, 26507.38778544939],\n    [0.00000000001, 4.47600641528, 97112.93697469679],\n    [0.00000000001, 0.40812953108, 77844.22478084739],\n];\n\nconst VSOP87_R3: Vsop87Element = [\n    [0.00000032676, 1.67971635359, 26087.9031415742],\n    [0.00000024166, 4.63403168997, 52175.8062831484],\n    [0.00000012133, 1.38983781545, 78263.70942472259],\n    [0.0000000514, 4.4391538693, 104351.61256629678],\n    [0.00000001981, 1.20733880274, 130439.51570787099],\n    [0.0000000146, Math.PI],\n    [0.00000000719, 4.25913631362, 156527.41884944518],\n    [0.0000000025, 1.02794425848, 182615.32199101939],\n    [0.00000000084, 4.08008618813, 208703.22513259358],\n    [0.00000000028, 0.85051616237, 234791.12827416777],\n    [0.00000000023, 1.60029451014, 24978.5245894808],\n    [0.00000000011, 4.58074493182, 27197.2816936676],\n    [0.00000000012, 4.6587866039, 51066.427731055],\n    [0.00000000009, 3.90622332667, 260879.03141574195],\n    [0.00000000005, 1.43247327249, 77154.33087262919],\n    [0.00000000004, 1.37106678794, 53285.1848352418],\n    [0.00000000003, 0.67217979275, 286966.93455731616],\n    [0.00000000002, 5.31135121818, 20426.571092422],\n    [0.00000000002, 1.54812921017, 1109.3785520934],\n    [0.00000000002, 4.48222146022, 103242.23401420339],\n    [0.00000000002, 0.20057520755, 1059.3819301892],\n    [0.00000000002, 4.21865197056, 25132.3033999656],\n    [0.00000000001, 2.11997334018, 46514.4742339962],\n    [0.00000000001, 3.24267833975, 27147.28507176339],\n    [0.00000000001, 1.33238537892, 1589.0728952838],\n    [0.00000000001, 5.14405498793, 72602.37737557039],\n    [0.00000000001, 6.14595652541, 26617.5941066688],\n    [0.00000000001, 3.90494988936, 4551.9534970588],\n    [0.00000000001, 2.85134614467, 14765.2390432698],\n    [0.00000000001, 3.74339959279, 313054.83769889036],\n    [0.00000000001, 2.82234410581, 52705.49724824299],\n    [0.00000000001, 1.70132625273, 23869.1460373874],\n    [0.00000000001, 1.4410244446, 27043.5028831828],\n    [0.00000000001, 1.2535842334, 129330.13715577759],\n    [0.00000000001, 0.32054002273, 9103.9069941176],\n    [0.00000000001, 0.90273607509, 51220.20654153979],\n    [0.00000000001, 4.28935605425, 27676.976036858],\n    [0.00000000001, 4.41206223998, 79373.08797681599],\n    [0.00000000001, 3.23518929162, 26301.2022370122],\n    [0.00000000001, 2.25667255668, 21535.9496445154],\n    [0.00000000001, 4.70414203873, 50586.73338786459],\n    [0.00000000001, 1.88608259832, 98690.28051714458],\n    [0.00000000001, 5.90420893056, 40853.142184844],\n    [0.00000000001, 4.46892853356, 53131.406024757],\n    [0.00000000001, 3.83684899837, 77308.10968311399],\n    [0.00000000001, 1.31974603498, 54394.56338733519],\n    [0.00000000001, 0.74728939443, 32858.61374281979],\n    [0.00000000001, 6.27673970277, 53235.18821333759],\n    [0.00000000001, 4.1481457861, 29530.4780865396],\n    [0.00000000001, 0.87302135775, 83925.04147387479],\n    [0.00000000001, 5.20339566427, 26068.2333806744],\n    [0.00000000001, 2.88631079597, 79323.09135491178],\n    [0.00000000001, 5.39853672849, 19317.1925403286],\n    [0.00000000001, 5.73721596586, 78793.40038981718],\n    [0.00000000001, 3.87802524387, 82815.66292178139],\n    [0.00000000001, 3.35625397389, 37410.5672398786],\n    [0.00000000001, 4.13825019881, 3442.5749449654],\n    [0.00000000001, 4.46169102731, 28306.66024576099],\n    [0.00000000001, 2.16986592809, 45405.0956819028],\n    [0.00000000001, 3.54716896556, 51646.11531805379],\n];\n\nconst VSOP87_R4: Vsop87Element = [\n    [0.00000000394, 0.3673540384, 26087.9031415742],\n    [0.00000000387, 3.18568771507, 52175.8062831484],\n    [0.0000000027, 6.16983616444, 78263.70942472259],\n    [0.00000000149, 2.91591904641, 104351.61256629678],\n    [0.00000000071, 5.95867889641, 130439.51570787099],\n    [0.00000000031, 2.72386700044, 156527.41884944518],\n    [0.00000000017],\n    [0.00000000012, 5.77775334056, 182615.32199101939],\n    [0.00000000005, 2.54506442647, 208703.22513259358],\n    [0.00000000002, 5.59978443851, 234791.12827416777],\n    [0.00000000001, 2.33785160871, 260879.03141574195],\n];\n\nconst VSOP87_R5: Vsop87Element = [\n    [0.00000000006, 3.98900269603, 26087.9031415742],\n    [0.00000000006, 1.55248278782, 52175.8062831484],\n    [0.00000000005, 4.65461721116, 78263.70942472259],\n    [0.00000000004, 1.40238366492, 104351.61256629678],\n    [0.00000000002, 4.44231488663, 130439.51570787099],\n    [0.00000000001, Math.PI],\n    [0.00000000001, 1.21278177664, 156527.41884944518],\n    [0.00000000001, 4.2614902634, 182615.32199101939],\n];\n\nexport const VSOP87_X: Vsop87Group = [VSOP87_L0, VSOP87_L1, VSOP87_L2, VSOP87_L3, VSOP87_L4, VSOP87_L5];\n\nexport const VSOP87_Y: Vsop87Group = [VSOP87_B0, VSOP87_B1, VSOP87_B2, VSOP87_B3, VSOP87_B4, VSOP87_B5];\n\nexport const VSOP87_Z: Vsop87Group = [VSOP87_R0, VSOP87_R1, VSOP87_R2, VSOP87_R3, VSOP87_R4, VSOP87_R5];\n","import type {Vsop87Element, Vsop87Group} from '@app/types/Vsop87Types';\n\nconst VSOP87_L0: Vsop87Element = [\n    [4.40250710144],\n    [0.40989414977, 1.48302034195, 26087.9031415742],\n    [0.050462942, 4.47785489551, 52175.8062831484],\n    [0.00855346844, 1.16520322459, 78263.70942472259],\n    [0.00165590362, 4.11969163423, 104351.61256629678],\n    [0.00034561897, 0.77930768443, 130439.51570787099],\n    [0.00007583476, 3.71348404924, 156527.41884944518],\n    [0.00003559745, 1.51202675145, 1109.3785520934],\n    [0.00001726011, 0.35832267096, 182615.32199101939],\n    [0.00001803464, 4.10333184211, 5661.3320491522],\n    [0.00001364681, 4.59918328256, 27197.2816936676],\n    [0.00001589923, 2.9951042356, 25028.521211385],\n    [0.00001017332, 0.88031393824, 31749.2351907264],\n    [0.00000714182, 1.54144862493, 24978.5245894808],\n    [0.00000643759, 5.30266166599, 21535.9496445154],\n    [0.000004042, 3.28228953196, 208703.22513259358],\n    [0.00000352442, 5.24156372447, 20426.571092422],\n    [0.00000343312, 5.7653170387, 955.5997416086],\n    [0.00000339215, 5.86327825226, 25558.2121764796],\n    [0.00000451137, 6.04989282259, 51116.4243529592],\n    [0.00000325329, 1.33674488758, 53285.1848352418],\n    [0.00000259588, 0.98732774234, 4551.9534970588],\n    [0.00000345213, 2.79211954198, 15874.6175953632],\n    [0.00000272948, 2.49451165014, 529.6909650946],\n    [0.00000234831, 0.26672019191, 11322.6640983044],\n    [0.00000238793, 0.113439144, 1059.3819301892],\n    [0.00000264336, 3.91705105199, 57837.1383323006],\n    [0.00000216645, 0.65987085507, 13521.7514415914],\n    [0.00000183358, 2.62878694178, 27043.5028831828],\n    [0.00000175965, 4.53636943501, 51066.427731055],\n    [0.00000181629, 2.43413603252, 25661.3049506982],\n    [0.00000208996, 2.09178645677, 47623.8527860896],\n    [0.00000172642, 2.45200139206, 24498.8302462904],\n    [0.00000142317, 3.36004060149, 37410.5672398786],\n    [0.00000137943, 0.29098540695, 10213.285546211],\n    [0.00000118233, 2.78149967294, 77204.32749453338],\n    [0.0000009686, 6.20398934398, 234791.12827416777],\n    [0.00000125219, 3.72079967668, 39609.6545831656],\n    [0.00000086819, 2.64218953915, 51646.11531805379],\n    [0.00000086723, 1.95952945936, 46514.4742339962],\n    [0.0000008833, 5.41338287192, 26617.5941066688],\n    [0.00000106422, 4.20572143374, 19804.8272915828],\n    [0.00000089987, 5.85243663953, 41962.5207369374],\n    [0.0000008497, 4.33100839394, 79373.08797681599],\n    [0.00000069247, 4.19446500577, 19.66976089979],\n    [0.00000063462, 3.14700988911, 7238.6755916],\n    [0.00000068493, 0.63424913908, 83925.04147387479],\n    [0.00000069728, 3.57201999194, 25132.3033999656],\n    [0.00000059481, 2.74692562834, 16983.9961474566],\n    [0.0000006483, 0.04762450218, 33326.5787331742],\n    [0.00000055377, 4.05313774098, 30639.856638633],\n    [0.00000054443, 3.14332489827, 27147.28507176339],\n    [0.0000004756, 5.49722123456, 3.881335358],\n    [0.00000049567, 3.98985799218, 6770.7106012456],\n    [0.00000056532, 5.11921332252, 73711.75592766379],\n    [0.00000041764, 5.64184020485, 53131.406024757],\n    [0.00000051459, 5.4778679109, 50586.73338786459],\n    [0.00000044745, 1.22367821919, 77154.33087262919],\n    [0.00000041882, 5.19309331936, 6283.0758499914],\n    [0.00000038045, 2.43118010131, 12566.1516999828],\n    [0.00000035627, 0.81389896255, 32858.61374281979],\n    [0.00000048008, 5.49260945754, 51749.20809227239],\n    [0.00000035393, 3.36964017301, 36301.18868778519],\n    [0.00000033952, 2.786179563, 14765.2390432698],\n    [0.0000003056, 5.84043579595, 43071.8992890308],\n    [0.00000035964, 1.42379903884, 2218.7571041868],\n    [0.00000034044, 0.47470616849, 65697.55772473979],\n    [0.000000308, 5.77017754761, 103292.23063610759],\n    [0.00000028497, 0.65049545721, 426.598190876],\n    [0.00000026215, 5.2415968513, 22645.32819660879],\n    [0.00000026253, 0.64808296487, 1589.0728952838],\n    [0.00000029538, 0.69772207795, 213.299095438],\n    [0.00000027505, 0.9801108316, 45892.73043315699],\n    [0.00000022347, 5.65336593067, 77734.01845962799],\n    [0.00000022047, 4.93396759824, 72602.37737557039],\n    [0.00000022275, 2.17909946933, 52705.49724824299],\n    [0.00000024253, 4.39994479508, 7.1135470008],\n    [0.00000026751, 1.0614735285, 3442.5749449654],\n    [0.00000023656, 2.84171550782, 260879.03141574195],\n    [0.00000022908, 2.58461108154, 68050.42387851159],\n    [0.00000027087, 0.0850167134, 63498.47038145279],\n    [0.00000022247, 3.22418752189, 25448.00585526019],\n    [0.00000017803, 3.61202758583, 110012.94461544899],\n    [0.00000022407, 1.02519770236, 105460.99111839019],\n    [0.00000017576, 4.71743981697, 25874.6040461362],\n    [0.00000018587, 4.52707983519, 28306.66024576099],\n    [0.00000014176, 6.12393941824, 53235.18821333759],\n    [0.00000014185, 5.14248515833, 26068.2333806744],\n    [0.00000017244, 0.2839428383, 51220.20654153979],\n    [0.00000017176, 3.26084148462, 153.7788104848],\n    [0.00000014939, 1.83543553823, 99799.65906923798],\n    [0.00000013389, 0.76569062416, 56727.7597802072],\n    [0.00000013978, 2.30196369782, 76674.63652943878],\n    [0.00000014428, 0.96645616238, 26107.57290247399],\n    [0.00000011991, 6.20493040602, 18849.2275499742],\n    [0.00000014381, 1.90954650143, 23969.1392811958],\n    [0.00000011233, 2.04816282167, 32370.9789915656],\n    [0.00000013387, 4.5175677584, 26080.78959457339],\n    [0.00000011632, 2.3849611275, 79219.30916633119],\n    [0.00000012412, 2.2228110932, 77837.11123384659],\n    [0.0000000995, 2.04595599803, 48733.23133818299],\n    [0.00000009803, 2.2670353962, 26091.7844769322],\n    [0.00000009361, 5.44289482405, 38654.05484155699],\n    [0.00000009746, 3.83975715814, 26084.0218062162],\n    [0.00000009264, 4.02987321949, 467.9649903544],\n    [0.00000008961, 0.11065043662, 62389.09182935939],\n    [0.00000011544, 4.17786977391, 103242.23401420339],\n    [0.00000011146, 3.7829564617, 26301.2022370122],\n    [0.00000009677, 2.98528938781, 59414.4818747484],\n    [0.00000008977, 3.47890335185, 91785.46086631398],\n    [0.00000009664, 5.77943268592, 25938.3399444396],\n    [0.00000008855, 2.84674490228, 25035.6347583858],\n    [0.0000000818, 5.77857984038, 40853.142184844],\n    [0.00000008033, 2.45698456693, 129380.13377768178],\n    [0.00000008343, 5.34502885776, 19317.1925403286],\n    [0.00000007425, 4.71160285382, 6.62855890001],\n    [0.00000009001, 6.23397065428, 25021.4076643842],\n    [0.00000008126, 1.12294678263, 26095.016688575],\n    [0.00000006568, 3.66246087364, 26514.5013324502],\n    [0.00000007038, 3.99042086727, 71980.63357473118],\n    [0.00000006956, 1.62821293256, 23869.1460373874],\n    [0.00000007595, 0.18335017533, 12432.0426503978],\n    [0.00000006061, 3.67045619806, 27676.976036858],\n    [0.00000005896, 5.57171840811, 94138.32702008578],\n    [0.00000005716, 5.18202059613, 78793.40038981718],\n    [0.00000005854, 2.14305101727, 20760.4270331914],\n    [0.0000000568, 1.60728089799, 98690.28051714458],\n    [0.00000005789, 2.35464263941, 103821.92160120218],\n    [0.00000005124, 3.77854984569, 58946.51688439399],\n    [0.00000005869, 5.7628465119, 286966.93455731616],\n    [0.00000005858, 6.12539769557, 26011.6370702986],\n    [0.00000005216, 3.29188857438, 38519.945791972],\n    [0.00000006, 0.00056823654, 51535.90899683439],\n    [0.00000004647, 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1.87174516455, 96471.52341295779],\n    [0.00000000007, 2.87375591411, 80967.3255793982],\n    [0.00000000007, 1.29457274547, 113736.45357437199],\n    [0.00000000007, 0.89009344126, 28213.78054895339],\n    [0.00000000007, 4.25473641206, 26140.99929388859],\n    [0.00000000008, 4.82798273493, 197380.56103428919],\n    [0.00000000007, 3.09825871823, 78265.19389743089],\n    [0.00000000008, 4.34888971439, 235320.81923926238],\n    [0.00000000006, 5.42495897529, 104350.12809358849],\n    [0.00000000006, 3.99182956098, 104668.00443595338],\n    [0.00000000007, 5.34185785375, 175376.64639941938],\n    [0.00000000008, 0.86389617056, 104466.051854982],\n    [0.00000000007, 1.33899601862, 149756.70824819959],\n    [0.00000000008, 3.10920439449, 228508.05242417638],\n    [0.00000000007, 4.30741955939, 158438.61833266239],\n    [0.00000000006, 5.17419549153, 104991.50985261079],\n    [0.00000000007, 2.20450442762, 156373.64003896038],\n    [0.00000000006, 2.90224060475, 129792.50487455618],\n    [0.00000000006, 4.54232458825, 26235.9818660005],\n    [0.00000000007, 4.42850204913, 27039.97976483379],\n    [0.00000000009, 1.73966926518, 171292.65789271498],\n    [0.00000000006, 0.11815278939, 159969.99379441059],\n    [0.00000000006, 4.04317848847, 129277.04100346318],\n    [0.00000000009, 6.0120076787, 168959.46149984296],\n    [0.00000000007, 1.85751313511, 28096.46068073319],\n    [0.00000000007, 2.12438011211, 84307.93800609799],\n    [0.00000000006, 2.48582215527, 156681.19765992998],\n    [0.00000000007, 3.73735796662, 182608.20844401857],\n    [0.00000000006, 2.28958252031, 156451.15277816958],\n    [0.00000000008, 3.69992350848, 132772.712100743],\n    [0.00000000007, 1.41866016352, 130859.00035174617],\n    [0.00000000006, 2.21936307079, 180496.55813064099],\n    [0.00000000009, 3.06339763309, 104401.60918820098],\n    [0.00000000008, 1.18565300113, 209232.91609768818],\n    [0.00000000007, 3.94128798915, 25675.5320446998],\n    [0.00000000008, 3.78904655885, 229129.79622501558],\n    [0.00000000006, 5.00477784596, 182465.75879388479],\n    [0.00000000007, 5.14936294952, 33480.357543659],\n    [0.00000000008, 4.60188784024, 234261.43730907318],\n    [0.00000000008, 4.47296414448, 104237.17327761157],\n    [0.00000000007, 0.75480073977, 84944.93427812219],\n    [0.00000000006, 4.68210231273, 261834.63115735054],\n    [0.00000000007, 1.33270050713, 182619.20332637738],\n    [0.00000000007, 5.60721965283, 148532.89040742096],\n    [0.00000000008, 5.1360296753, 209762.60706278277],\n    [0.00000000006, 0.03219084009, 25896.4548754626],\n    [0.00000000008, 3.93608578931, 156534.04740834518],\n    [0.00000000008, 4.2264536052, 182595.65223011958],\n    [0.00000000007, 6.0636393261, 156523.53751408719],\n    [0.00000000007, 4.74656613678, 104685.46850706618],\n    [0.00000000008, 1.89526023726, 25462.2329492618],\n    [0.00000000006, 1.4831694091, 26191.68533015479],\n    [0.00000000008, 4.0765017894, 13705.8571130806],\n    [0.00000000007, 1.81299543472, 78597.56536549199],\n    [0.00000000006, 6.09713561414, 104353.09703900508],\n    [0.00000000006, 5.60796663267, 207747.62539098498],\n    [0.00000000006, 2.16536179089, 27573.88326263939],\n    [0.00000000006, 1.42098831764, 26026.177166834],\n    [0.00000000006, 1.69671918811, 20043.6745601988],\n    [0.00000000006, 5.11260117805, 443494.35340676131],\n    [0.00000000006, 5.22497762448, 107679.74822257696],\n    [0.00000000006, 1.74905384462, 50290.905119731],\n    [0.00000000006, 0.304225437, 182622.43553802017],\n    [0.00000000008, 4.49860671318, 195181.47369100217],\n    [0.00000000007, 3.45347996125, 430.5303441391],\n    [0.00000000006, 0.74258274172, 256327.07791868312],\n    [0.00000000008, 2.76506053583, 183041.92018189539],\n    [0.00000000006, 2.89935798569, 239343.08177122659],\n    [0.00000000006, 4.96619008761, 70383.6202713836],\n    [0.00000000007, 1.8490308823, 28632.5757784666],\n    [0.00000000006, 0.68234531723, 104017.75662552739],\n    [0.00000000006, 3.11962389893, 184834.07909520617],\n    [0.00000000006, 3.60993416994, 131072.29944718418],\n    [0.00000000006, 0.03251101986, 102620.49021336419],\n    [0.00000000006, 5.50368260841, 26238.95081141709],\n    [0.00000000007, 1.97599718563, 107692.22499299659],\n    [0.00000000006, 5.777741494, 78339.97549599818],\n    [0.00000000008, 1.97853905449, 88285.54670482199],\n    [0.00000000006, 2.44688578354, 28928.40404660019],\n    [0.00000000007, 1.78303012604, 26034.8069892598],\n    [0.00000000006, 0.4313729327, 27388.72995977919],\n    [0.00000000006, 4.76836779722, 104771.09721017198],\n    [0.00000000006, 3.6331398447, 77641.96562388338],\n    [0.00000000007, 5.22121198783, 91919.56991589899],\n    [0.00000000007, 4.48679862542, 156531.30018480319],\n    [0.00000000007, 2.61368067822, 266540.36346489414],\n    [0.00000000007, 0.12862048714, 130907.48069822539],\n    [0.00000000006, 0.43577629069, 106470.37642667518],\n    [0.00000000006, 3.82921450071, 27047.0260015318],\n    [0.00000000006, 0.70928978057, 26061.60482177439],\n    [0.00000000005, 1.08303549554, 22779.4372461938],\n    [0.00000000006, 0.25448993981, 146505.58156934578],\n    [0.00000000007, 4.06478627606, 104461.81888751619],\n    [0.00000000006, 5.60793166576, 131506.01118506098],\n    [0.00000000008, 1.69064312952, 38469.94917006779],\n    [0.00000000008, 2.44994557596, 164407.50800278416],\n    [0.00000000007, 3.54872847011, 155894.63511013199],\n    [0.00000000005, 1.10994023578, 52072.0240945678],\n    [0.00000000006, 3.73225568492, 26084.93419615759],\n    [0.00000000005, 5.58167272835, 101173.46677572919],\n    [0.00000000005, 0.70846557489, 208489.92603715559],\n    [0.00000000006, 4.5992139387, 20894.5360827764],\n    [0.00000000005, 3.75647355566, 242985.40360737636],\n    [0.00000000005, 6.27502785749, 104785.32430417358],\n    [0.00000000006, 2.00142473286, 1699.2792165032],\n    [0.00000000007, 2.76050255944, 184204.39488630318],\n    [0.00000000005, 5.47987179385, 26252.33905216361],\n    [0.00000000007, 2.00462922304, 26090.8720869908],\n    [0.00000000007, 1.62322254368, 18227.483749135],\n    [0.00000000006, 5.70254081987, 33917.99567300899],\n    [0.00000000006, 5.97919634831, 77208.25964779648],\n    [0.00000000006, 2.16791372283, 26045.0200666708],\n    [0.00000000007, 2.57095095237, 77218.55458853499],\n    [0.00000000005, 0.25701311411, 25923.46723098479],\n    [0.00000000007, 4.14777314934, 33948.3225340134],\n    [0.00000000005, 5.29140115995, 28471.0961563504],\n    [0.00000000006, 3.53925621297, 26130.7862164776],\n    [0.00000000005, 6.11594062706, 52355.883413433],\n    [0.00000000006, 5.57961940155, 76352.50994150538],\n    [0.00000000006, 0.83576004159, 130446.14426677099],\n    [0.00000000005, 0.43431985985, 23704.71012679799],\n    [0.00000000007, 2.28014965021, 35679.44488694599],\n    [0.00000000006, 5.37355955737, 17098.43543614181],\n    [0.00000000005, 5.9724413979, 123554.36581794015],\n    [0.00000000006, 3.95779909916, 130432.88714897096],\n    [0.00000000005, 4.47086994601, 27360.58416720139],\n    [0.00000000006, 3.02938887393, 26830.8932021068],\n    [0.00000000005, 2.94688436969, 129902.71119577558],\n    [0.00000000005, 2.93317711504, 130215.17091216908],\n    [0.00000000006, 3.75147408015, 42790.9652750732],\n    [0.00000000006, 1.00428918941, 51040.1294112552],\n    [0.00000000005, 2.78041305143, 143164.96914264598],\n    [0.00000000005, 1.8600079603, 469582.25654833551],\n    [0.00000000006, 0.74710746073, 132350.71519108818],\n    [0.00000000005, 2.39844344347, 23389.451694197],\n    [0.00000000006, 3.58468768151, 23247.4022365482],\n    [0.00000000006, 0.8258915078, 77964.58303045339],\n    [0.00000000006, 4.53833067121, 101023.47691001659],\n    [0.00000000005, 0.57407761078, 24734.1543965574],\n    [0.00000000005, 2.25316144259, 415.5524906121],\n    [0.00000000006, 4.70935000739, 65717.22748563958],\n    [0.00000000005, 0.05510253171, 52336.2136525332],\n    [0.00000000005, 5.35670099063, 26513.8119180882],\n    [0.00000000006, 2.32062527661, 23384.2869868986],\n    [0.00000000005, 1.32520906706, 25980.59783464459],\n    [0.00000000005, 0.80991017339, 25661.9943650602],\n    [0.00000000006, 6.08272643182, 130589.07890500558],\n    [0.00000000005, 4.38196086874, 26195.2084485038],\n    [0.00000000005, 0.41357636643, 87253.17713015496],\n    [0.00000000005, 1.29167077496, 164721.69418265378],\n    [0.00000000005, 0.71179831125, 180396.56488683258],\n    [0.00000000006, 1.47416646071, 233202.05537888398],\n    [0.00000000005, 6.23460200611, 34102.10134449819],\n    [0.00000000005, 5.35033090355, 26397.18146422999],\n    [0.00000000005, 4.93083299042, 23401.181047033],\n    [0.00000000005, 2.81440459099, 91626.15913152178],\n    [0.00000000005, 3.34946974145, 76532.58707178998],\n    [0.00000000006, 2.87843300002, 50912.6489205702],\n    [0.00000000005, 0.98613060394, 208683.55537169379],\n    [0.00000000006, 0.63843906657, 255217.69936658978],\n    [0.00000000006, 3.68754775281, 53654.67285721279],\n    [0.00000000005, 1.77640278232, 79116.90580647459],\n    [0.00000000006, 1.22686507612, 51538.81001112419],\n    [0.00000000006, 0.36168067626, 422.6660376129],\n    [0.00000000005, 4.10167099677, 249268.47945736776],\n    [0.00000000005, 2.94751779171, 130962.09312596478],\n    [0.00000000006, 2.79032706562, 131491.78409105938],\n    [0.00000000006, 5.45598380433, 218916.51067880458],\n    [0.00000000005, 5.72733360293, 2324.9494088156],\n    [0.00000000005, 1.55205182092, 305060.30925686615],\n    [0.00000000006, 1.11542763194, 78373.91574594198],\n    [0.00000000005, 0.22456206035, 130514.29730643828],\n    [0.00000000005, 6.19195128172, 440.8252848776],\n    [0.00000000006, 4.68979746907, 26149.62911631439],\n    [0.00000000005, 0.0477337492, 130489.51232977519],\n    [0.00000000005, 4.35334090897, 260452.43322486595],\n    [0.00000000004, 1.8032586117, 104301.61594439259],\n    [0.00000000004, 5.90731736703, 38634.3850806572],\n    [0.00000000005, 5.85937874289, 41520.8540663828],\n    [0.00000000004, 5.81033465121, 52378.05967832249],\n    [0.00000000005, 2.38959621917, 77776.07467346839],\n    [0.00000000005, 0.89819672775, 52102.50915728939],\n    [0.00000000004, 1.04050915609, 283524.35961235073],\n    [0.00000000004, 5.74543005216, 79639.48322456839],\n    [0.00000000005, 3.24374045161, 53771.99272543299],\n    [0.00000000006, 5.37158640221, 49822.94012937659],\n    [0.00000000004, 0.06769738532, 4371.8763667742],\n    [0.00000000006, 1.1863801136, 188898.39784101078],\n    [0.00000000005, 6.05867525779, 77190.10040053178],\n    [0.00000000004, 5.01707452403, 169252.87228422018],\n    [0.00000000004, 4.30493132325, 206370.02873972156],\n    [0.00000000004, 2.06448884635, 201464.54954099358],\n    [0.00000000004, 5.27718401223, 20452.8694122218],\n    [0.00000000005, 0.64823272639, 106684.80895916879],\n    [0.00000000004, 1.34518506056, 20400.2727726222],\n    [0.00000000005, 3.64294402199, 27331.3907432526],\n    [0.00000000005, 1.10711421942, 79219.99858069318],\n    [0.00000000004, 5.7014328369, 267649.74201698754],\n    [0.00000000004, 5.61867141715, 32808.6171209156],\n    [0.00000000004, 3.40787680501, 74771.13785785298],\n    [0.00000000004, 4.89347322243, 52249.10340900739],\n    [0.00000000004, 4.5062628523, 80912.16425019559],\n    [0.00000000004, 5.7975220636, 273311.07406613971],\n    [0.00000000004, 3.59370702464, 46564.4708559004],\n    [0.00000000006, 3.80547114091, 28786.3545889514],\n    [0.00000000004, 3.61797134303, 132558.27956824939],\n    [0.00000000004, 5.02120058481, 133780.12813457078],\n    [0.00000000004, 0.69875295873, 77622.29586298359],\n    [0.00000000004, 5.47230241775, 50639.82954017899],\n    [0.00000000005, 5.60595541866, 200708.69669056936],\n    [0.00000000004, 4.57945769995, 46131.577701773],\n    [0.00000000004, 2.90774078461, 61299.38303816579],\n    [0.00000000005, 5.95351319448, 93696.66034953119],\n    [0.00000000005, 6.04114354784, 51995.7291528638],\n    [0.00000000004, 5.11154568183, 251775.12442162436],\n    [0.00000000004, 4.37488020826, 130123.12383821438],\n    [0.00000000005, 0.61091062956, 102865.63244523159],\n    [0.00000000004, 2.83395761015, 128217.65907327399],\n    [0.00000000005, 6.05511428388, 49534.4650046762],\n    [0.00000000004, 0.70993360491, 51554.06248230919],\n    [0.00000000005, 2.16220422308, 54221.1148159506],\n    [0.00000000005, 6.2573244944, 18319.5365848796],\n    [0.00000000004, 6.03004085628, 54287.45659652599],\n    [0.00000000004, 5.94971817133, 16964.3263865568],\n    [0.00000000004, 3.56233707368, 20272.7922819372],\n    [0.00000000004, 1.59742075675, 79399.38629661579],\n    [0.00000000004, 2.94685386221, 28199.55345495179],\n    [0.00000000005, 1.93137641145, 83591.18553310538],\n    [0.00000000004, 0.66487328583, 130755.90757752759],\n    [0.00000000004, 3.1526641151, 170068.84005193636],\n    [0.00000000004, 2.5048917345, 102446.14780135639],\n    [0.00000000005, 4.20320779124, 113455.51956041438],\n    [0.00000000005, 5.87958723384, 53757.76563143139],\n    [0.00000000005, 1.86517289834, 24510.5595991264],\n    [0.00000000004, 1.47938914186, 54824.2611086214],\n    [0.00000000004, 0.34491990622, 78161.74690645699],\n    [0.00000000004, 4.91765582326, 54184.36382230739],\n    [0.00000000004, 1.66609260552, 25135.8265183146],\n    [0.00000000005, 2.71496730071, 77200.39534127028],\n    [0.00000000004, 5.13273546829, 26387.0295358434],\n    [0.00000000004, 4.81872093221, 56573.9809697224],\n    [0.00000000004, 5.08493147041, 1574.8458012822],\n    [0.00000000004, 5.61971860281, 52400.1510788503],\n    [0.00000000004, 1.10830702595, 51949.9770147382],\n    [0.00000000004, 2.49860728014, 105418.10804348679],\n    [0.00000000005, 4.53061477023, 259289.95852045812],\n    [0.00000000004, 1.43177381452, 51086.09749195479],\n    [0.00000000004, 1.78993265235, 34570.0663348526],\n    [0.00000000004, 2.89498773739, 4601.950118963],\n    [0.00000000004, 3.81752951238, 52016.5045483562],\n    [0.00000000004, 3.00793368756, 92914.50917930716],\n    [0.00000000004, 3.19503794912, 67582.45888815718],\n    [0.00000000004, 2.20034975861, 78167.73019750479],\n    [0.00000000004, 0.67177464579, 53753.1498255962],\n    [0.00000000005, 2.94612400422, 1055.4497769261],\n    [0.00000000004, 5.01204521255, 77020.22182304418],\n    [0.00000000004, 5.37296944146, 208063.32784627957],\n    [0.00000000005, 5.81879633601, 52015.39891376359],\n    [0.00000000004, 2.52609846916, 52367.25454925999],\n    [0.00000000004, 0.65214215474, 185943.45764729957],\n    [0.00000000004, 3.13387849279, 186057.89693598478],\n    [0.00000000004, 2.21635240969, 215941.90072419358],\n    [0.00000000004, 5.48439088692, 182769.10080150417],\n    [0.00000000004, 1.64336565163, 246113.79237247216],\n];\n\nconst VSOP87_L1: Vsop87Element = [\n    [26087.90313685529],\n    [0.01131199811, 6.21874197797, 26087.9031415742],\n    [0.00292242298, 3.04449355541, 52175.8062831484],\n    [0.00075775081, 6.08568821653, 78263.70942472259],\n    [0.00019676525, 2.80965111777, 104351.61256629678],\n    [0.00005119883, 5.79432353574, 130439.51570787099],\n    [0.00001336324, 2.47909947012, 156527.41884944518],\n    [0.0000035223, 3.05246348628, 1109.3785520934],\n    [0.00000350236, 5.43397743985, 182615.32199101939],\n    [0.00000093444, 6.11761855456, 27197.2816936676],\n    [0.00000090588, 0.00053733031, 24978.5245894808],\n    [0.00000092259, 2.09530377053, 208703.22513259358],\n    [0.00000051943, 5.62157845897, 5661.3320491522],\n    [0.00000044343, 4.57417248957, 25028.521211385],\n    [0.00000027651, 3.03660330131, 51066.427731055],\n    [0.00000021994, 0.8647518216, 955.5997416086],\n    [0.00000020378, 3.71392682666, 20426.571092422],\n    [0.00000020226, 0.52020649631, 21535.9496445154],\n    [0.00000024445, 5.03171884876, 234791.12827416777],\n    [0.00000017507, 5.72782246025, 4551.9534970588],\n    [0.00000016673, 1.34980149127, 529.6909650946],\n    [0.00000015305, 1.79227510901, 11322.6640983044],\n    [0.00000015398, 5.7425911966, 19.66976089979],\n    [0.0000001396, 3.59440619771, 24498.8302462904],\n    [0.00000013163, 2.71002769534, 53285.1848352418],\n    [0.00000012621, 3.89533871193, 3.881335358],\n    [0.00000012503, 4.7013355234, 1059.3819301892],\n    [0.00000007967, 4.1717547088, 26617.5941066688],\n    [0.00000008012, 3.92669813128, 27043.5028831828],\n    [0.00000007703, 0.4960922418, 46514.4742339962],\n    [0.00000007496, 2.4777465217, 57837.1383323006],\n    [0.00000008388, 6.05157476676, 77154.33087262919],\n    [0.0000000684, 2.7739372243, 7.1135470008],\n    [0.00000006554, 5.5349960828, 6770.7106012456],\n    [0.00000005846, 4.28173811514, 16983.9961474566],\n    [0.00000007178, 2.97769079034, 2218.7571041868],\n    [0.00000006358, 2.13820928214, 25132.3033999656],\n    [0.00000005879, 2.19602452599, 13521.7514415914],\n    [0.00000005065, 2.48292263185, 30639.856638633],\n    [0.00000006517, 1.67892400042, 260879.03141574195],\n    [0.0000000485, 4.84628981357, 37410.5672398786],\n    [0.00000005019, 3.94203732877, 25661.3049506982],\n    [0.00000004392, 1.54280887262, 27147.28507176339],\n    [0.00000004382, 4.94443288387, 213.299095438],\n    [0.00000004017, 5.52771226937, 83925.04147387479],\n    [0.00000004299, 5.08757395593, 10213.285546211],\n    [0.00000004588, 0.82044096381, 25558.2121764796],\n    [0.00000003569, 2.3431918046, 32858.61374281979],\n    [0.00000003549, 3.59449539427, 26068.2333806744],\n    [0.00000004456, 5.79195846107, 3442.5749449654],\n    [0.00000003418, 0.49892587318, 22645.32819660879],\n    [0.00000003473, 1.39724118346, 77204.32749453338],\n    [0.00000003186, 1.25564690041, 14765.2390432698],\n    [0.00000003029, 4.45211520724, 7238.6755916],\n    [0.0000000298, 0.13991629145, 50586.73338786459],\n    [0.00000003284, 5.23011989016, 25448.00585526019],\n    [0.00000002857, 0.67101346147, 26091.7844769322],\n    [0.00000003133, 6.21363252783, 26080.78959457339],\n    [0.00000002724, 5.64058806769, 1589.0728952838],\n    [0.00000002628, 0.87590020075, 52705.49724824299],\n    [0.00000002641, 3.52814897103, 72602.37737557039],\n    [0.00000003124, 6.07149300722, 28306.66024576099],\n    [0.00000002797, 2.51124084505, 26107.57290247399],\n    [0.00000002403, 1.15501613908, 25035.6347583858],\n    [0.00000002503, 4.35025740225, 41962.5207369374],\n    [0.00000002241, 1.84953945797, 36301.18868778519],\n    [0.0000000232, 5.4424311037, 26084.0218062162],\n    [0.00000002534, 5.80058447871, 26095.016688575],\n    [0.00000002871, 1.63509831596, 25021.4076643842],\n    [0.00000002063, 1.07103665169, 43071.8992890308],\n    [0.00000001986, 2.95920226047, 23969.1392811958],\n    [0.00000002508, 2.76403654972, 103242.23401420339],\n    [0.00000001961, 0.83450558631, 12566.1516999828],\n    [0.00000001846, 4.42974192764, 103292.23063610759],\n    [0.00000001651, 1.25437456685, 33326.5787331742],\n    [0.00000001786, 1.8101082268, 26301.2022370122],\n    [0.00000001594, 2.2686796279, 110012.94461544899],\n    [0.00000001579, 4.61224012719, 53235.18821333759],\n    [0.00000001779, 5.17437777314, 426.598190876],\n    [0.00000001601, 5.53140059013, 56727.7597802072],\n    [0.00000002099, 5.15770653744, 51220.20654153979],\n    [0.0000000159, 0.07655136418, 23869.1460373874],\n    [0.00000001748, 4.6041925959, 286966.93455731616],\n    [0.00000001593, 4.86694690893, 79373.08797681599],\n    [0.00000001525, 3.75842012487, 73711.75592766379],\n    [0.00000001358, 1.44570665984, 51646.11531805379],\n    [0.00000001324, 1.13417813347, 68050.42387851159],\n    [0.00000001345, 3.80182679561, 19317.1925403286],\n    [0.00000001242, 3.79390052115, 25874.6040461362],\n    [0.00000001132, 1.2472367602, 31749.2351907264],\n    [0.00000001259, 1.73164966232, 12432.0426503978],\n    [0.00000001035, 4.30505315648, 40853.142184844],\n    [0.0000000101, 3.57886637986, 48733.23133818299],\n    [0.00000000981, 0.32956536507, 52156.1365222486],\n    [0.00000001031, 3.72181647641, 6283.0758499914],\n    [0.00000001015, 4.34316985494, 77734.01845962799],\n    [0.00000001143, 2.5649719048, 29530.4780865396],\n    [0.00000000976, 5.29476493474, 65697.55772473979],\n    [0.00000000849, 4.90682657214, 62389.09182935939],\n    [0.00000000861, 0.48881788219, 99799.65906923798],\n    [0.00000000872, 4.78830513218, 18849.2275499742],\n    [0.00000000849, 3.87015948421, 78793.40038981718],\n    [0.00000000855, 0.25155177774, 98690.28051714458],\n    [0.00000000809, 2.35162494261, 27676.976036858],\n    [0.00000000756, 3.91466184753, 38654.05484155699],\n    [0.00000000777, 3.69099415988, 52179.6876185064],\n    [0.00000000741, 0.37372573509, 105460.99111839019],\n    [0.00000000744, 2.09528358878, 51535.90899683439],\n    [0.00000000736, 6.05485667197, 114.43928868521],\n    [0.00000000729, 1.15635861097, 129380.13377768178],\n    [0.00000000699, 3.14468277514, 47623.8527860896],\n    [0.00000000698, 2.99353080731, 52168.69273614759],\n    [0.00000000828, 0.03967891327, 53131.406024757],\n    [0.00000000751, 4.22622963362, 51123.53789995999],\n    [0.00000000752, 4.70040857872, 51109.31080595839],\n    [0.00000000651, 5.8735389219, 2333.196392872],\n    [0.00000000698, 4.82796933102, 38519.945791972],\n    [0.00000000656, 3.65489167792, 25668.418497699],\n    [0.0000000074, 5.74343325106, 129330.13715577759],\n    [0.0000000064, 1.96265162206, 26514.5013324502],\n    [0.00000000753, 5.64825867964, 45892.73043315699],\n    [0.0000000061, 1.21211116825, 153.7788104848],\n    [0.00000000811, 4.22901744472, 25654.19140369739],\n    [0.00000000584, 2.65166793147, 76674.63652943878],\n    [0.00000000671, 1.88069825702, 77308.10968311399],\n    [0.00000000559, 5.26845568234, 136100.84775702319],\n    [0.00000000567, 6.08799470543, 25234.70675982219],\n    [0.00000000523, 4.17422789646, 94138.32702008578],\n    [0.00000000527, 5.8336653223, 50057.04242277],\n    [0.00000000523, 2.45663231877, 467.9649903544],\n    [0.00000000526, 2.06863255789, 91785.46086631398],\n    [0.00000000697, 2.57166718581, 52182.9198301492],\n    [0.00000000523, 1.35829138439, 79323.09135491178],\n    [0.00000000554, 3.10829478558, 15874.6175953632],\n    [0.00000000546, 2.77273663291, 54394.56338733519],\n    [0.00000000491, 0.38994513676, 32370.9789915656],\n    [0.00000000505, 2.27352111828, 82815.66292178139],\n    [0.00000000586, 5.45833122512, 52195.47604404819],\n    [0.00000000616, 4.18181890063, 639.897286314],\n    [0.00000000501, 2.12293246629, 52171.9249477904],\n    [0.00000000444, 3.09631644931, 49957.0491789616],\n    [0.00000000427, 5.35376808888, 49.9966219042],\n    [0.0000000047, 1.23850164176, 313054.83769889036],\n    [0.00000000469, 1.4651800672, 1066.49547719],\n    [0.000000004, 5.24589064914, 58946.51688439399],\n    [0.00000000521, 4.9237717714, 52389.1053785864],\n    [0.00000000404, 2.49441656744, 71980.63357473118],\n    [0.00000000442, 1.05846681262, 103821.92160120218],\n    [0.00000000509, 1.03889091502, 24491.71669928959],\n    [0.00000000421, 0.36954299695, 51962.5071877104],\n    [0.00000000386, 0.92423685606, 77837.11123384659],\n    [0.00000000363, 3.08451517102, 131548.89425996438],\n    [0.000000004, 3.51672858608, 20760.4270331914],\n    [0.00000000358, 0.02964909169, 2118.7638603784],\n    [0.00000000356, 2.03742854569, 1052.2683831884],\n    [0.00000000352, 3.49165605975, 125887.56221081219],\n    [0.00000000423, 4.21490947326, 18093.37469954999],\n    [0.00000000336, 1.55219177388, 24505.94379329119],\n    [0.00000000328, 5.45155251381, 7880.08915333899],\n    [0.00000000333, 1.04986280945, 66941.04532641819],\n    [0.00000000305, 1.70579427712, 79219.30916633119],\n    [0.00000000294, 0.89719097618, 63498.47038145279],\n    [0.00000000289, 1.66524837037, 88476.99497093359],\n    [0.00000000321, 5.58902496814, 55618.3812281138],\n    [0.00000000381, 2.16600770844, 522.5774180938],\n    [0.00000000389, 0.54659889883, 45405.0956819028],\n    [0.00000000305, 1.52082857349, 44937.1306915484],\n    [0.00000000275, 3.32813520041, 78244.0396638228],\n    [0.00000000266, 0.68060995712, 64741.95798313119],\n    [0.00000000288, 4.98360015732, 25551.09862947879],\n    [0.0000000026, 5.34007178889, 53764.8791784322],\n    [0.00000000255, 4.14975855255, 155468.03691925599],\n    [0.00000000264, 0.57786571512, 104881.30353139139],\n    [0.00000000266, 3.23724695644, 124778.18365871879],\n    [0.00000000265, 1.0424012469, 25938.3399444396],\n    [0.00000000242, 0.4480742492, 23754.70674870219],\n    [0.00000000222, 0.45066526427, 51116.4243529592],\n    [0.00000000218, 5.05361806009, 52602.4044740244],\n    [0.00000000211, 5.09174612431, 117873.36400788819],\n    [0.00000000282, 3.81278076218, 536.8045120954],\n    [0.00000000207, 3.49711450533, 58458.88213313979],\n    [0.000000002, 5.41587372095, 16066.0658614748],\n    [0.00000000202, 2.38190671463, 23439.44831610119],\n    [0.00000000214, 0.40710565979, 78267.59076008058],\n    [0.00000000215, 2.42593080866, 155418.04029735178],\n    [0.00000000196, 3.91420687435, 103925.01437542078],\n    [0.00000000201, 2.7317198003, 59414.4818747484],\n    [0.00000000207, 4.87003667439, 103396.01282468818],\n    [0.00000000188, 3.84383993794, 69159.80243060499],\n    [0.00000000184, 0.90817110368, 120226.23016165999],\n    [0.00000000215, 5.35772672442, 206.1855484372],\n    [0.00000000178, 1.2517021027, 103.0927742186],\n    [0.00000000186, 1.97860871529, 162188.75089859738],\n    [0.00000000183, 2.87999350716, 3328.13565628019],\n    [0.00000000195, 0.44655194207, 51756.3216392732],\n    [0.00000000217, 4.48208092219, 26241.681952059],\n    [0.00000000215, 2.26829365379, 33967.99229491319],\n    [0.000000002, 1.01165670813, 51742.09454527159],\n    [0.00000000179, 1.42332722447, 77197.21394753258],\n    [0.00000000223, 0.97930066855, 77211.44104153418],\n    [0.00000000193, 5.5921663636, 78270.82297172339],\n    [0.00000000162, 5.5570382582, 98068.53671630539],\n    [0.00000000161, 5.51813734364, 26555.8681319286],\n    [0.00000000197, 4.80011640279, 25455.119402261],\n    [0.00000000173, 4.35603175355, 105307.21230790539],\n    [0.00000000158, 2.63936949472, 28421.0995344462],\n    [0.00000000163, 2.82189871585, 26202.34243025941],\n    [0.00000000154, 2.25328873364, 89586.37352302698],\n    [0.00000000155, 5.21123811238, 77623.81213840858],\n    [0.00000000195, 1.02146810928, 44181.27784112419],\n    [0.00000000187, 4.98586575384, 102762.53967101299],\n    [0.00000000179, 5.1142972288, 25440.89230825939],\n    [0.00000000152, 5.99106319634, 78256.59587772179],\n    [0.00000000164, 4.36120554838, 105410.99449648599],\n    [0.00000000184, 0.26387432742, 419.4846438752],\n    [0.00000000144, 2.90699736539, 51322.60990139639],\n    [0.00000000143, 5.95657669344, 157636.79740153858],\n    [0.00000000149, 5.77248289868, 80482.46652890938],\n    [0.0000000016, 1.00653088516, 26727.8004278882],\n    [0.0000000016, 1.39442186441, 26011.6370702986],\n    [0.00000000139, 0.27101064668, 46848.3301747656],\n    [0.00000000133, 3.26795404064, 25973.46385288896],\n    [0.00000000141, 3.31881997762, 78050.41032928458],\n    [0.00000000131, 0.6987483409, 3340.6124266998],\n    [0.00000000152, 1.72125145972, 78477.00852016058],\n    [0.00000000154, 5.27681182377, 108903.56606335558],\n    [0.00000000126, 0.20427766386, 151975.46535238638],\n    [0.00000000165, 4.06407630596, 129909.82474277639],\n    [0.00000000147, 4.06027405748, 50579.61984086379],\n    [0.00000000125, 6.09822754682, 76044.9523205358],\n    [0.00000000163, 6.16787830179, 19406.6782881746],\n    [0.00000000138, 5.11907374655, 433.7117378768],\n    [0.00000000128, 4.15814269417, 339142.74084046457],\n    [0.00000000133, 5.23408461673, 26610.48055966799],\n    [0.00000000153, 1.29821059795, 13655.8604911764],\n    [0.00000000114, 4.61849532926, 50593.84693486539],\n    [0.00000000122, 2.53164787291, 76144.94556434419],\n    [0.00000000113, 4.51202339397, 27154.3986187642],\n    [0.00000000102, 3.96711417536, 26037.90651966999],\n    [0.0000000011, 3.4597531715, 25565.3257234804],\n    [0.00000000101, 0.11486997352, 74821.13447975718],\n    [0.000000001, 1.88687551078, 85034.42002596818],\n    [0.00000000099, 5.98979152528, 29416.03879785439],\n    [0.00000000132, 5.4433122863, 51749.20809227239],\n    [0.00000000097, 3.01165560161, 28206.6670019526],\n    [0.00000000096, 5.22162983089, 85502.38501632259],\n    [0.00000000132, 5.94907535629, 1223.81784077861],\n    [0.00000000113, 3.55407420407, 71492.99882347698],\n    [0.00000000123, 2.05111107086, 78283.37918562238],\n    [0.0000000009, 5.94701228084, 25131.61398560359],\n    [0.00000000109, 5.03445354966, 78259.82808936459],\n    [0.00000000093, 2.31189694942, 81706.28436968799],\n    [0.00000000095, 4.68010019254, 114564.89811250778],\n    [0.00000000103, 4.0574744332, 93028.94846799239],\n    [0.00000000097, 2.65105244357, 9103.9069941176],\n    [0.00000000087, 0.84408485633, 181555.94006083018],\n    [0.00000000088, 3.70188799404, 90829.86112470538],\n    [0.00000000098, 0.52096836281, 26624.70765366959],\n    [0.00000000083, 2.12974304987, 42153.969003049],\n    [0.00000000098, 3.31309863421, 853.196381752],\n    [0.00000000081, 1.81824819424, 143961.26714946238],\n    [0.00000000084, 5.18245305336, 220.4126424388],\n    [0.00000000101, 4.52477254053, 71025.03383312259],\n    [0.00000000077, 0.62552658856, 130012.91751699499],\n    [0.00000000076, 1.62946702195, 25984.8103673556],\n    [0.00000000076, 5.02442522075, 115674.27666460119],\n    [0.0000000008, 1.97972400646, 149.5631971346],\n    [0.0000000008, 2.03736548887, 79852.78232000639],\n    [0.00000000103, 4.71419562154, 12725.453434775],\n    [0.00000000075, 0.26953948526, 84546.78527471398],\n    [0.00000000079, 0.0469425045, 104331.94280539699],\n    [0.00000000075, 5.0815645271, 27140.17152476259],\n    [0.00000000076, 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26013.1215430069],\n    [0.00000000003, 5.59058462965, 180396.56488683258],\n    [0.00000000002, 2.51510994796, 26667.590728573],\n    [0.00000000003, 1.48135858208, 105403.88094948517],\n    [0.00000000002, 1.0914099613, 180496.55813064099],\n    [0.00000000003, 1.22647733767, 248312.87971575916],\n    [0.00000000002, 0.36339757941, 96471.52341295779],\n    [0.00000000002, 1.35408345025, 23919.1426592916],\n    [0.00000000003, 2.80629290854, 78043.29678228378],\n    [0.00000000002, 3.3187605125, 205260.65018762815],\n    [0.00000000002, 0.20681692579, 51596.1186961496],\n    [0.00000000002, 1.53176493082, 158746.17595363196],\n    [0.00000000002, 1.48023064256, 184204.39488630318],\n    [0.00000000003, 1.49887007773, 106262.81204951399],\n    [0.00000000003, 5.05636989583, 130907.48069822539],\n    [0.00000000003, 0.5423831607, 52041.69723356339],\n    [0.00000000003, 5.75431374896, 130446.14426677099],\n    [0.00000000002, 2.93093373409, 159855.55450572536],\n    [0.00000000002, 3.56437176463, 52797.55008398759],\n    [0.00000000002, 2.6204798054, 78683.19406859778],\n    [0.00000000002, 2.11384955087, 25773.71696170459],\n    [0.00000000002, 4.1578241514, 52400.1510788503],\n    [0.00000000002, 5.89562175995, 133767.65136415116],\n    [0.00000000002, 1.35665861508, 183041.92018189539],\n    [0.00000000002, 0.11609465401, 27170.98337386779],\n    [0.00000000002, 3.03178665319, 112545.88789950538],\n    [0.00000000002, 4.105561188, 113455.51956041438],\n    [0.00000000002, 2.14271307715, 51951.46148744649],\n    [0.00000000002, 1.68546478089, 78313.70604662679],\n    [0.00000000003, 6.19908560971, 25004.8229092806],\n    [0.00000000002, 2.84045476324, 155303.60100866656],\n    [0.00000000002, 2.26145864726, 76998.14194609619],\n    [0.00000000002, 4.74126987497, 213255.17862965238],\n    [0.00000000002, 2.40187436652, 52509.6622239178],\n    [0.00000000002, 0.23208171234, 24448.8336243862],\n    [0.00000000002, 2.50290073656, 26102.1302355758],\n    [0.00000000002, 1.36349447497, 234798.24182116857],\n    [0.00000000002, 2.02736374318, 60170.3347251726],\n    [0.00000000002, 3.57423748725, 175730.17210108857],\n    [0.00000000002, 2.55875179877, 76255.15188556358],\n    [0.00000000002, 5.00767344604, 50444.6839302158],\n    [0.00000000002, 4.87112232665, 78413.27262185719],\n    [0.00000000003, 5.80075910765, 78373.91574594198],\n    [0.00000000002, 3.44901114128, 251775.12442162436],\n    [0.00000000002, 5.01117672779, 182622.43553802017],\n    [0.00000000002, 5.77978141973, 77403.39949596979],\n    [0.00000000002, 2.0178329186, 78397.81847430758],\n    [0.00000000002, 1.16361857643, 104145.42701785959],\n    [0.00000000002, 0.28513369746, 235746.72801577636],\n    [0.00000000002, 0.47269960302, 156093.70711156838],\n    [0.00000000002, 3.62048919482, 17098.43543614181],\n    [0.00000000002, 0.12909617158, 52161.57918914679],\n    [0.00000000002, 2.17258312431, 308502.88420183153],\n];\n\nconst VSOP87_L2: Vsop87Element = [\n    [0.00016395129, 4.67759555504, 26087.9031415742],\n    [0.00008123865, 1.40305644134, 52175.8062831484],\n    [0.0000320817, 4.49577853102, 78263.70942472259],\n    [0.00001128209, 1.27901273779, 104351.61256629678],\n    [0.00000877186, Math.PI],\n    [0.00000371058, 4.31735787338, 130439.51570787099],\n    [0.00000116931, 1.04943307731, 156527.41884944518],\n    [0.00000035802, 4.0458725739, 182615.32199101939],\n    [0.00000014897, 4.63345988506, 1109.3785520934],\n    [0.00000010747, 0.74352925179, 208703.22513259358],\n    [0.00000005244, 4.71804553686, 24978.5245894808],\n    [0.00000003182, 3.71128464182, 234791.12827416777],\n    [0.00000002547, 1.43801901419, 27197.2816936676],\n    [0.00000002033, 1.49538090708, 51066.427731055],\n    [0.00000000972, 1.80406148095, 955.5997416086],\n    [0.00000000933, 0.38508064082, 260879.03141574195],\n    [0.00000000628, 6.18336027299, 529.6909650946],\n    [0.00000000628, 4.84993612548, 24498.8302462904],\n    [0.00000000748, 4.53886632656, 77154.33087262919],\n    [0.00000000652, 0.98244103623, 5661.3320491522],\n    [0.0000000057, 5.93087624804, 25028.521211385],\n    [0.00000000554, 2.13567295803, 20426.571092422],\n    [0.00000000508, 4.11405647413, 4551.9534970588],\n    [0.00000000608, 4.54161712968, 2218.7571041868],\n    [0.00000000439, 3.40841487365, 11322.6640983044],\n    [0.00000000383, 2.84041448501, 26617.5941066688],\n    [0.00000000371, 0.82325076093, 6770.7106012456],\n    [0.00000000321, 5.20252163124, 46514.4742339962],\n    [0.0000000031, 3.21458500897, 1059.3819301892],\n    [0.00000000332, 0.97193908732, 25132.3033999656],\n    [0.00000000328, 2.23586205224, 21535.9496445154],\n    [0.00000000303, 4.67984690863, 27043.5028831828],\n    [0.00000000272, 3.33112990946, 286966.93455731616],\n    [0.00000000247, 5.87790567404, 16983.9961474566],\n    [0.00000000311, 4.22425838013, 3442.5749449654],\n    [0.00000000237, 4.37072058392, 114.43928868521],\n    [0.0000000023, 0.93160807269, 30639.856638633],\n    [0.00000000264, 1.28267621568, 103242.23401420339],\n    [0.00000000209, 3.30050747071, 213.299095438],\n    [0.00000000197, 2.07978399454, 22645.32819660879],\n    [0.00000000175, 6.23699804715, 27147.28507176339],\n    [0.00000000182, 0.62557819405, 25448.00585526019],\n    [0.00000000219, 1.34273602039, 28306.66024576099],\n    [0.00000000155, 3.92088824161, 32858.61374281979],\n    [0.00000000161, 5.79480893327, 52705.49724824299],\n    [0.00000000153, 4.33625862893, 1589.0728952838],\n    [0.0000000016, 4.80006144385, 23869.1460373874],\n    [0.00000000149, 1.98766674679, 72602.37737557039],\n    [0.00000000146, 5.95917025706, 14765.2390432698],\n    [0.00000000129, 4.15874670686, 23969.1392811958],\n    [0.00000000135, 3.86681741058, 51220.20654153979],\n    [0.00000000141, 3.66926746092, 25558.2121764796],\n    [0.00000000113, 3.9042155056, 83925.04147387479],\n    [0.00000000108, 1.38888153019, 50586.73338786459],\n    [0.00000000115, 0.15119470114, 26301.2022370122],\n    [0.00000000119, 3.62238641476, 53285.1848352418],\n    [0.00000000098, 3.99032605577, 56727.7597802072],\n    [0.00000000094, 2.05358227305, 26068.2333806744],\n    [0.00000000102, 0.85715423056, 57837.1383323006],\n    [0.00000000086, 3.04235521268, 53235.18821333759],\n    [0.00000000104, 5.32353970232, 7238.6755916],\n    [0.00000000088, 4.29297146473, 129330.13715577759],\n    [0.00000000096, 2.24007027333, 19317.1925403286],\n    [0.00000000099, 0.99982390475, 29530.4780865396],\n    [0.00000000079, 6.26974865489, 313054.83769889036],\n    [0.00000000075, 5.40697085015, 26091.7844769322],\n    [0.00000000074, 4.30770581759, 2333.196392872],\n    [0.00000000081, 0.96615031171, 26107.57290247399],\n    [0.00000000068, 0.70236298544, 110012.94461544899],\n    [0.00000000084, 3.28239679269, 12432.0426503978],\n    [0.00000000069, 3.55775707713, 13521.7514415914],\n    [0.00000000077, 0.2736111021, 37410.5672398786],\n    [0.00000000066, 5.08814197377, 79373.08797681599],\n    [0.00000000064, 2.75924146152, 40853.142184844],\n    [0.00000000067, 3.89692983127, 26084.0218062162],\n    [0.00000000062, 5.7759594872, 12566.1516999828],\n    [0.00000000062, 2.68303226418, 43071.8992890308],\n    [0.00000000068, 3.44188386122, 10213.285546211],\n    [0.00000000059, 0.86974939194, 53131.406024757],\n    [0.00000000061, 0.16326480892, 36301.18868778519],\n    [0.00000000062, 5.03081926384, 98690.28051714458],\n    [0.00000000063, 2.4928393033, 78793.40038981718],\n    [0.00000000055, 1.00982472538, 27676.976036858],\n    [0.00000000054, 1.15894540115, 26202.34243025941],\n    [0.00000000052, 1.55698657263, 49957.0491789616],\n    [0.00000000051, 5.13863384999, 52156.1365222486],\n    [0.0000000005, 1.60202945983, 25234.70675982219],\n    [0.00000000053, 2.66625298995, 103292.23063610759],\n    [0.00000000052, 0.53816996194, 77308.10968311399],\n    [0.00000000053, 5.48671975064, 25661.3049506982],\n    [0.00000000047, 5.18449121077, 48733.23133818299],\n    [0.00000000054, 5.50628728318, 77204.32749453338],\n    [0.00000000045, 4.98425073175, 25973.46385288896],\n    [0.00000000049, 0.54622585936, 51646.11531805379],\n    [0.00000000053, 0.33861329992, 25874.6040461362],\n    [0.00000000041, 2.21595927672, 52179.6876185064],\n    [0.00000000041, 2.78727398693, 41962.5207369374],\n    [0.00000000036, 5.03373039765, 26080.78959457339],\n    [0.00000000037, 5.80421105052, 68050.42387851159],\n    [0.00000000039, 0.07497517201, 38519.945791972],\n    [0.00000000035, 3.29702164337, 62389.09182935939],\n    [0.00000000043, 3.24027622244, 52389.1053785864],\n    [0.00000000042, 2.42467105416, 639.897286314],\n    [0.00000000037, 6.10413466135, 79323.09135491178],\n    [0.00000000038, 0.75728548339, 82815.66292178139],\n    [0.00000000039, 5.83856275214, 31749.2351907264],\n    [0.00000000033, 2.45594764622, 38654.05484155699],\n    [0.0000000004, 1.13429314401, 51116.4243529592],\n    [0.00000000041, 4.30596946224, 26095.016688575],\n    [0.0000000004, 3.14916876711, 426.598190876],\n    [0.00000000039, 1.79865756533, 33326.5787331742],\n    [0.00000000031, 5.81703678643, 129380.13377768178],\n    [0.00000000032, 3.75967831149, 136100.84775702319],\n    [0.00000000031, 0.7157962969, 50057.04242277],\n    [0.00000000034, 4.04941185304, 55618.3812281138],\n    [0.0000000003, 1.5791033832, 52168.69273614759],\n    [0.00000000031, 0.09729309307, 47623.8527860896],\n    [0.00000000029, 3.72168845249, 51535.90899683439],\n    [0.00000000039, 4.04661946156, 52195.47604404819],\n    [0.00000000038, 3.74329013991, 18849.2275499742],\n    [0.0000000003, 0.74969213513, 7880.08915333899],\n    [0.00000000028, 1.00979692149, 155418.04029735178],\n    [0.00000000033, 5.78833433505, 18093.37469954999],\n    [0.00000000033, 0.72168395673, 52171.9249477904],\n    [0.00000000034, 5.29277111978, 45405.0956819028],\n    [0.00000000025, 5.17302047914, 99799.65906923798],\n    [0.00000000029, 4.2787868884, 54394.56338733519],\n    [0.00000000023, 2.91420022643, 339142.74084046457],\n    [0.00000000029, 3.06502211848, 77734.01845962799],\n    [0.00000000029, 1.05041966879, 52182.9198301492],\n    [0.00000000023, 5.05463364253, 2118.7638603784],\n    [0.00000000025, 5.79963493025, 66941.04532641819],\n    [0.00000000022, 2.60637985278, 94138.32702008578],\n    [0.00000000023, 2.16401194556, 73711.75592766379],\n    [0.00000000025, 0.08404534895, 26514.5013324502],\n    [0.00000000021, 4.437080407, 3328.13565628019],\n    [0.0000000002, 1.08338958579, 28421.0995344462],\n    [0.0000000002, 1.88500536861, 78244.0396638228],\n    [0.00000000023, 1.77623772399, 124778.18365871879],\n    [0.00000000023, 5.48177653849, 104881.30353139139],\n    [0.00000000021, 3.97578154158, 53764.8791784322],\n    [0.00000000018, 3.51290465186, 103396.01282468818],\n    [0.00000000019, 1.96045370871, 23754.70674870219],\n    [0.00000000018, 2.89112115044, 6283.0758499914],\n    [0.00000000016, 4.59238950011, 76044.9523205358],\n    [0.00000000019, 3.14667729625, 51109.31080595839],\n    [0.00000000018, 5.83387936093, 32370.9789915656],\n    [0.00000000016, 0.09294518979, 88476.99497093359],\n    [0.00000000015, 5.46245475561, 64741.95798313119],\n    [0.00000000016, 0.03607120436, 15874.6175953632],\n    [0.00000000016, 2.61537304697, 51123.53789995999],\n    [0.00000000017, 5.25094113087, 78267.59076008058],\n    [0.00000000014, 2.6086827559, 155468.03691925599],\n    [0.00000000019, 4.41133632855, 1223.81784077861],\n    [0.00000000014, 1.94550512688, 125887.56221081219],\n    [0.00000000014, 4.09356954849, 51962.5071877104],\n    [0.00000000013, 1.69184734385, 105460.99111839019],\n    [0.00000000013, 0.42992478235, 91785.46086631398],\n    [0.00000000014, 4.22260830493, 52290.24557183361],\n    [0.00000000014, 0.84325677092, 78283.37918562238],\n    [0.00000000015, 3.81728490126, 33967.99229491319],\n    [0.00000000015, 6.08137402799, 13655.8604911764],\n    [0.00000000016, 5.91267910196, 103821.92160120218],\n    [0.00000000012, 4.62244083876, 78256.59587772179],\n    [0.00000000013, 4.111849901, 78270.82297172339],\n    [0.00000000013, 0.51159953038, 162188.75089859738],\n    [0.00000000016, 0.27438111404, 44937.1306915484],\n    [0.00000000015, 0.06283579474, 78477.00852016058],\n    [0.00000000012, 3.74786317614, 79219.30916633119],\n    [0.00000000014, 3.73252208342, 76674.63652943878],\n    [0.00000000013, 2.85873269026, 105410.99449648599],\n    [0.00000000011, 3.31652116583, 52602.4044740244],\n    [0.00000000011, 0.85286372231, 81706.28436968799],\n    [0.00000000014, 3.804034887, 108903.56606335558],\n    [0.0000000001, 1.28396028602, 29416.03879785439],\n    [0.0000000001, 5.65745629948, 120226.23016165999],\n    [0.00000000012, 2.03863313977, 71492.99882347698],\n    [0.00000000012, 3.78051451699, 78259.82808936459],\n    [0.00000000012, 3.58068127033, 65697.55772473979],\n    [0.00000000009, 6.26481642814, 77197.21394753258],\n    [0.0000000001, 1.74557548628, 52061.36699446317],\n    [0.00000000011, 5.51854977063, 26727.8004278882],\n    [0.00000000009, 0.87609670035, 71980.63357473118],\n    [0.00000000012, 2.78603563772, 636.9962720242],\n    [0.00000000011, 2.55599225548, 44181.27784112419],\n    [0.00000000008, 3.96918329614, 181505.94343892598],\n    [0.0000000001, 4.03307160926, 45892.73043315699],\n    [0.00000000008, 0.26156604139, 58946.51688439399],\n    [0.00000000008, 3.43030220559, 23439.44831610119],\n    [0.00000000007, 2.31338515724, 18207.81398823521],\n    [0.00000000007, 2.30432003862, 58458.88213313979],\n    [0.00000000007, 3.5531222472, 117873.36400788819],\n    [0.00000000009, 5.71593232265, 77211.44104153418],\n    [0.00000000007, 4.76096150126, 51322.60990139639],\n    [0.00000000008, 2.48388995708, 93028.94846799239],\n    [0.00000000007, 4.09761336373, 39609.6545831656],\n    [0.00000000007, 5.75283699646, 365230.64398203876],\n    [0.00000000006, 3.99273743908, 59414.4818747484],\n    [0.00000000007, 1.6937382208, 28206.6670019526],\n    [0.00000000006, 3.28204561721, 64607.84893354619],\n    [0.00000000006, 1.54444675453, 853.196381752],\n    [0.00000000008, 0.57761210288, 60055.89543648739],\n    [0.00000000006, 5.01805475025, 151975.46535238638],\n    [0.00000000006, 2.55446300163, 69159.80243060499],\n    [0.00000000005, 1.51210885797, 9103.9069941176],\n    [0.00000000006, 4.89525469227, 104331.94280539699],\n    [0.00000000006, 4.92564085258, 22759.76748529401],\n    [0.00000000005, 2.15346448287, 90829.86112470538],\n    [0.00000000006, 0.65350116108, 79852.78232000639],\n    [0.00000000005, 3.37193629625, 76144.94556434419],\n    [0.00000000005, 2.04815817656, 74821.13447975718],\n    [0.00000000005, 0.17834300374, 129483.91596626239],\n    [0.00000000005, 6.16414846947, 90695.75207512038],\n    [0.00000000005, 5.28415472245, 3340.6124266998],\n    [0.00000000005, 3.17894500374, 13541.42120249119],\n    [0.00000000005, 5.69793800429, 181555.94006083018],\n    [0.00000000006, 2.66476961863, 129909.82474277639],\n    [0.00000000005, 5.74228939026, 51742.09454527159],\n    [0.00000000005, 4.26343733232, 54509.0026760204],\n    [0.00000000004, 4.06123952598, 98068.53671630539],\n    [0.00000000006, 4.74202735513, 150866.08680029298],\n    [0.00000000004, 3.22245789732, 85034.42002596818],\n    [0.00000000006, 2.16211417117, 130969.20667296558],\n    [0.00000000005, 1.17994620591, 27311.72098235281],\n    [0.00000000004, 3.13862707016, 114564.89811250778],\n    [0.00000000004, 0.70841826293, 207593.84658050018],\n    [0.00000000004, 2.34774987498, 103925.01437542078],\n    [0.00000000005, 0.77949940918, 80482.46652890938],\n    [0.00000000004, 2.88313720641, 39743.7636327506],\n    [0.00000000005, 3.52886643334, 188276.65404017158],\n    [0.00000000004, 0.28788817018, 143961.26714946238],\n    [0.00000000004, 4.49043760994, 157636.79740153858],\n    [0.00000000004, 4.21873573827, 209812.60368468695],\n    [0.00000000004, 2.41403274829, 146314.13330323418],\n    [0.00000000005, 1.28701603504, 78050.41032928458],\n    [0.00000000004, 5.65308073974, 9384.8410080752],\n    [0.00000000004, 2.64375080194, 391318.54712361297],\n    [0.00000000003, 3.98926197489, 26555.8681319286],\n    [0.00000000004, 0.55808934316, 134991.46920492979],\n    [0.00000000004, 4.63875050061, 104138.31347085879],\n    [0.00000000004, 5.06700980379, 51749.20809227239],\n    [0.00000000004, 3.15594088685, 104564.91166173479],\n    [0.00000000003, 5.53916777863, 103917.90082841998],\n    [0.00000000003, 3.83058994037, 107794.18751126219],\n    [0.00000000004, 5.62157545863, 155997.72788435058],\n    [0.00000000003, 4.96842214526, 46848.3301747656],\n    [0.00000000003, 1.31101001889, 102132.85546210999],\n    [0.00000000004, 3.23824792927, 71025.03383312259],\n    [0.00000000003, 0.56485784658, 133882.09065283638],\n    [0.00000000003, 5.99223512848, 76681.75007643958],\n    [0.00000000003, 2.53782771703, 77829.99768684579],\n    [0.00000000003, 5.43159187626, 26624.70765366959],\n    [0.00000000004, 1.90489089366, 77844.22478084739],\n    [0.00000000004, 6.20678215413, 140652.80125408198],\n    [0.00000000003, 5.70654241974, 70269.18098269838],\n    [0.00000000003, 1.75060320928, 178063.36849396059],\n    [0.00000000003, 0.8306549835, 16066.0658614748],\n    [0.00000000004, 2.57176066723, 103299.34418310839],\n    [0.00000000003, 1.14659714282, 183724.70054311278],\n    [0.00000000003, 5.14785501146, 51756.3216392732],\n    [0.00000000003, 2.57903197263, 102769.65321801379],\n    [0.00000000003, 3.76793354375, 233681.74972207438],\n    [0.00000000004, 0.24142818439, 214364.55718174578],\n    [0.00000000003, 2.82633220723, 78417.48823520739],\n    [0.00000000003, 1.50791196104, 176953.98994186718],\n    [0.00000000003, 0.75025191061, 124156.43985787958],\n    [0.00000000003, 0.11585083927, 78690.30761559859],\n    [0.00000000004, 1.63233334725, 48847.6706268682],\n    [0.00000000003, 0.91669674969, 104358.72611329758],\n    [0.00000000003, 4.73790735448, 204151.27163553478],\n    [0.00000000004, 5.2835128562, 77837.11123384659],\n    [0.00000000003, 5.18374032893, 84546.78527471398],\n    [0.00000000003, 5.43488671242, 172402.03644480839],\n    [0.00000000003, 3.09682427852, 103285.11708910679],\n    [0.00000000003, 2.63284986442, 157586.80077963437],\n    [0.00000000004, 2.00317069167, 104355.49390165479],\n    [0.00000000003, 2.90251399696, 26241.681952059],\n    [0.00000000003, 5.12222648436, 49842.60989027639],\n    [0.00000000003, 0.06488467746, 128850.44281258718],\n    [0.00000000003, 0.33684256012, 26521.614879451],\n    [0.00000000003, 1.51588259549, 130226.21661243298],\n    [0.00000000003, 3.67637303983, 78731.674415077],\n    [0.00000000003, 2.28131524438, 145204.75475114079],\n    [0.00000000003, 5.33066683612, 130012.91751699499],\n    [0.00000000003, 3.1748162202, 155571.81910783658],\n    [0.00000000003, 5.98255863935, 129373.02023068098],\n    [0.00000000003, 5.18830885909, 157057.10981453978],\n    [0.00000000003, 2.11070427503, 26037.90651966999],\n    [0.00000000004, 5.9063462778, 131498.89763806018],\n    [0.00000000003, 3.25172738866, 77726.90491262719],\n    [0.00000000003, 6.06137411612, 25035.6347583858],\n    [0.00000000003, 2.38439906684, 52815.7035694624],\n    [0.00000000003, 5.77780259515, 417406.45026518717],\n    [0.00000000003, 0.15017953018, 77623.81213840858],\n    [0.00000000003, 2.53692197918, 50579.61984086379],\n    [0.00000000003, 3.79850964717, 104371.28232719658],\n    [0.00000000003, 0.87877269577, 78378.14871340781],\n    [0.00000000003, 4.51815882357, 203041.89308344138],\n    [0.00000000003, 5.05030622136, 97580.90196505119],\n    [0.00000000003, 3.55526005414, 161079.37234650398],\n    [0.00000000003, 3.81129932602, 150244.34299945379],\n    [0.00000000003, 4.34998476289, 128220.75860368418],\n    [0.00000000003, 4.99282876183, 130443.39704322898],\n    [0.00000000003, 6.00078316095, 52329.58509363319],\n    [0.00000000002, 2.32406988994, 182085.63102592478],\n    [0.00000000003, 1.60886376627, 130419.8459469712],\n    [0.00000000003, 3.55274488009, 86143.79857806159],\n    [0.00000000003, 6.17525348034, 25021.4076643842],\n    [0.00000000002, 5.36948228729, 52125.80966124419],\n    [0.00000000003, 0.38599144893, 51639.00177105299],\n    [0.00000000002, 1.40074676993, 104344.49901929598],\n    [0.00000000002, 0.51392978593, 63498.47038145279],\n    [0.00000000002, 2.78225137127, 50593.84693486539],\n    [0.00000000002, 1.64621651211, 72936.23331633979],\n    [0.00000000003, 5.96023706521, 19804.8272915828],\n    [0.00000000002, 1.34569479881, 131548.89425996438],\n    [0.00000000002, 4.53808407131, 52595.29092702359],\n    [0.00000000002, 1.80494920501, 110634.68841628819],\n    [0.00000000002, 2.69270456478, 79330.20490191258],\n    [0.00000000002, 0.70786002104, 52643.7712735028],\n    [0.00000000002, 5.42134269606, 102232.84870591838],\n    [0.00000000003, 4.62281494277, 26941.0995233262],\n    [0.00000000002, 3.87566264385, 130446.62925487179],\n    [0.00000000002, 0.50212033869, 130459.18546877075],\n    [0.00000000002, 3.32954668287, 170049.17029103659],\n    [0.00000000002, 3.32826941964, 52609.51802102519],\n    [0.00000000002, 1.81888146102, 123668.80510662538],\n    [0.00000000002, 1.88539548859, 183145.01295611398],\n    [0.00000000002, 5.60036800049, 76667.52298243798],\n    [0.00000000002, 2.3800483427, 207643.84320240439],\n    [0.00000000003, 5.59960600075, 119116.85160956658],\n    [0.00000000002, 0.66616627126, 7994.5284420242],\n    [0.00000000002, 6.13884922945, 97112.93697469679],\n    [0.00000000002, 6.1519476277, 130652.81480330898],\n    [0.00000000002, 3.41632104466, 26237.46633870879],\n    [0.00000000002, 3.37420001521, 89586.37352302698],\n    [0.00000000003, 6.22021545847, 51543.0225438352],\n    [0.00000000002, 4.70019386461, 54294.57014352679],\n    [0.00000000002, 3.55423380171, 26610.48055966799],\n    [0.00000000002, 2.08199940627, 156100.82065856918],\n    [0.00000000002, 1.89771335613, 78213.71280281838],\n    [0.00000000002, 2.38063752275, 157483.01859105378],\n    [0.00000000002, 0.60609897326, 104347.73123093879],\n    [0.00000000002, 3.06733001438, 27154.3986187642],\n    [0.00000000002, 4.30652780573, 55503.94193942859],\n    [0.00000000002, 3.61289373324, 105940.68546158058],\n    [0.00000000002, 1.33899945209, 80382.47328510099],\n    [0.00000000002, 4.35432942939, 130432.40216087017],\n    [0.00000000002, 5.52246085185, 129387.24732468258],\n    [0.00000000002, 3.93624681676, 104466.051854982],\n    [0.00000000002, 1.6612084995, 77410.51304297059],\n    [0.00000000002, 2.83496672989, 154938.34595416138],\n    [0.00000000002, 3.23031513148, 104778.21075717278],\n    [0.00000000002, 1.99889615003, 52712.61079524379],\n    [0.00000000002, 4.87996577249, 103932.12792242158],\n    [0.00000000002, 2.17758238884, 104991.50985261079],\n    [0.00000000002, 4.5920710534, 156507.74908854539],\n    [0.00000000002, 3.45973208971, 130435.63437251298],\n    [0.00000000002, 1.36100413352, 103711.71527998279],\n    [0.00000000002, 5.69915132155, 95247.70557217918],\n    [0.00000000002, 2.14140115476, 198489.93958638258],\n    [0.00000000002, 2.54868088019, 443494.35340676131],\n    [0.00000000002, 4.27290052093, 99024.13645791399],\n    [0.00000000002, 5.27508077587, 116917.76426627958],\n    [0.00000000002, 0.58370421848, 156534.53239644598],\n    [0.00000000002, 5.06923503966, 44295.7171298094],\n    [0.00000000002, 2.89478714851, 166740.70439565618],\n    [0.00000000002, 3.4637428692, 68241.87214462319],\n    [0.00000000001, 2.56009054796, 91919.56991589899],\n    [0.00000000002, 5.33102101065, 233731.74634397858],\n    [0.00000000001, 0.46871348267, 52698.38370124219],\n    [0.00000000002, 0.23345180862, 53228.07466633679],\n    [0.00000000001, 1.21219589371, 229129.79622501558],\n    [0.00000000002, 1.47208764937, 104237.17327761157],\n    [0.00000000001, 0.46249615021, 259769.65286364855],\n    [0.00000000001, 3.55153457062, 156547.08861034496],\n    [0.00000000002, 3.25214023282, 79315.97780791098],\n    [0.00000000001, 2.91709276484, 156740.71794488319],\n    [0.00000000002, 2.16887025342, 25881.717593137],\n    [0.00000000002, 5.43830783518, 35191.8101356918],\n    [0.00000000002, 0.32055505807, 26294.08869001139],\n    [0.00000000002, 1.3242129895, 230239.17477710896],\n    [0.00000000001, 2.75656573698, 123200.84011627098],\n    [0.00000000001, 1.05519423362, 154308.66174525839],\n    [0.00000000001, 2.22706049163, 155475.15046625677],\n    [0.00000000001, 1.21096629701, 26507.38778544939],\n    [0.00000000001, 4.95426332586, 78800.51393681798],\n    [0.00000000002, 1.36857099558, 53029.0026649004],\n    [0.00000000001, 5.86456165793, 26724.8994135984],\n    [0.00000000002, 5.28892226268, 131395.11544947959],\n    [0.00000000001, 4.7921677865, 149756.70824819959],\n    [0.00000000001, 3.20732407966, 137678.19129947099],\n    [0.00000000001, 2.96638995325, 78786.28684281638],\n    [0.00000000001, 4.91638002448, 24864.08530079559],\n    [0.00000000001, 6.1491067968, 53242.3017603384],\n    [0.00000000001, 6.14706636431, 181659.72224941078],\n    [0.00000000001, 5.29736708948, 171292.65789271498],\n    [0.00000000001, 5.77778470867, 65831.6667743248],\n    [0.00000000001, 1.66692640402, 156531.30018480319],\n    [0.00000000001, 4.19906782881, 53399.624123927],\n    [0.00000000001, 3.61349005003, 25551.09862947879],\n    [0.00000000001, 4.94658254745, 182188.72380014337],\n    [0.00000000001, 4.73509857811, 78149.27013603736],\n    [0.00000000001, 0.21694564359, 156523.53751408719],\n    [0.00000000001, 2.70464721604, 155460.92337225519],\n    [0.00000000001, 6.01917565203, 87367.61641884019],\n    [0.00000000001, 0.58964848166, 25934.1243310894],\n    [0.00000000001, 0.69637868067, 419.4846438752],\n    [0.00000000001, 1.58879127003, 105307.21230790539],\n    [0.00000000001, 2.21200704215, 29428.515568274],\n    [0.00000000001, 1.8855510114, 143005.66740785378],\n    [0.00000000001, 5.87073148723, 7.1135470008],\n    [0.00000000001, 0.98630669719, 80596.9058175946],\n    [0.00000000001, 0.32313752445, 111590.28815789679],\n    [0.00000000001, 3.57120770556, 27684.0895838588],\n    [0.00000000001, 5.31615183025, 25619.9381512198],\n    [0.00000000001, 4.9673702492, 100909.03762133139],\n    [0.00000000001, 1.98399612179, 70383.6202713836],\n    [0.00000000001, 5.76820474986, 181026.24909573558],\n    [0.00000000001, 2.17985292285, 106570.36967048359],\n    [0.00000000001, 0.33589246093, 51528.79544983359],\n    [0.00000000001, 2.30304143694, 102755.42612401219],\n    [0.00000000001, 2.60522245307, 632.7837393132],\n    [0.00000000001, 2.12902252288, 85502.38501632259],\n    [0.00000000001, 5.48182021001, 78903.60671103658],\n    [0.00000000001, 5.81614944128, 19.66976089979],\n    [0.00000000001, 0.28057913034, 25450.90686955],\n    [0.00000000001, 0.23368034121, 187167.27548807819],\n    [0.00000000001, 5.2768792224, 183570.92173262799],\n    [0.00000000001, 0.55131065335, 26137.8997634784],\n    [0.00000000001, 6.11149192748, 196137.07343261078],\n    [0.00000000001, 5.21786187975, 36109.7404216736],\n    [0.00000000001, 5.69487692949, 25565.3257234804],\n    [0.00000000001, 0.66528112216, 42153.969003049],\n    [0.00000000001, 1.31014433957, 128320.75184749259],\n    [0.00000000001, 0.30267346719, 132028.58860315479],\n    [0.00000000001, 5.29138018584, 208173.53416749898],\n    [0.00000000001, 5.56586628815, 183674.70392120858],\n];\n\nconst VSOP87_L3: Vsop87Element = [\n    [0.00000169496, 3.20221586818, 26087.9031415742],\n    [0.00000155725, 6.23814315369, 52175.8062831484],\n    [0.00000090555, 2.96712953186, 78263.70942472259],\n    [0.00000042769, 6.01870391709, 104351.61256629678],\n    [0.0000001776, 2.78750960026, 130439.51570787099],\n    [0.00000006774, 5.82756176337, 156527.41884944518],\n    [0.00000003486],\n    [0.00000002435, 2.56963684564, 182615.32199101939],\n    [0.00000000838, 5.58026725886, 208703.22513259358],\n    [0.00000000279, 2.29386373858, 234791.12827416777],\n    [0.00000000117, 3.16711243445, 24978.5245894808],\n    [0.00000000091, 5.27797094839, 260879.03141574195],\n    [0.00000000077, 6.2411894888, 51066.427731055],\n    [0.00000000059, 6.13122855286, 27197.2816936676],\n    [0.00000000029, 1.96984426125, 286966.93455731616],\n    [0.00000000038, 3.01313871348, 77154.33087262919],\n    [0.00000000026, 3.07099212705, 53285.1848352418],\n    [0.00000000016, 6.05402853609, 103242.23401420339],\n    [0.00000000009, 0.5876140528, 20426.571092422],\n    [0.00000000008, 4.91858279103, 313054.83769889036],\n    [0.00000000008, 3.65754213465, 46514.4742339962],\n    [0.00000000007, 5.80852764666, 25132.3033999656],\n    [0.00000000006, 2.80645454084, 129330.13715577759],\n    [0.00000000005, 0.42790495669, 72602.37737557039],\n    [0.00000000005, 1.3801389981, 26617.5941066688],\n    [0.00000000006, 6.21321941701, 79373.08797681599],\n    [0.00000000004, 2.57269000597, 51220.20654153979],\n    [0.00000000004, 4.3514618328, 52705.49724824299],\n    [0.00000000004, 3.23908636136, 23869.1460373874],\n    [0.00000000004, 3.11816146331, 27043.5028831828],\n    [0.00000000003, 5.65361012794, 30639.856638633],\n    [0.00000000003, 6.24088426744, 50586.73338786459],\n    [0.00000000003, 4.71793214076, 27147.28507176339],\n    [0.00000000003, 1.56503904911, 339142.74084046457],\n    [0.00000000003, 4.40817083916, 14765.2390432698],\n    [0.00000000003, 1.36263896645, 53235.18821333759],\n    [0.00000000003, 2.55349503543, 56727.7597802072],\n    [0.00000000002, 1.57411546608, 25558.2121764796],\n    [0.00000000002, 5.82296227978, 155418.04029735178],\n    [0.00000000003, 6.04743500801, 28306.66024576099],\n    [0.00000000002, 3.56825195678, 78267.59076008058],\n    [0.00000000002, 0.67646904345, 19317.1925403286],\n    [0.00000000002, 0.80653697687, 155468.03691925599],\n    [0.00000000002, 2.56516361004, 181505.94343892598],\n    [0.00000000002, 0.04355188842, 49957.0491789616],\n    [0.00000000002, 5.46649056139, 110012.94461544899],\n    [0.00000000002, 4.44350451862, 79323.09135491178],\n    [0.00000000002, 2.8076953103, 83925.04147387479],\n    [0.00000000002, 0.87954898432, 103292.23063610759],\n    [0.00000000002, 2.87146263097, 54394.56338733519],\n    [0.00000000002, 4.72727579494, 365230.64398203876],\n    [0.00000000002, 3.49243086623, 98690.28051714458],\n    [0.00000000002, 0.13491885197, 57837.1383323006],\n    [0.00000000001, 5.93623181057, 4551.9534970588],\n    [0.00000000001, 0.68876175865, 51116.4243529592],\n    [0.00000000001, 2.22622522074, 136100.84775702319],\n    [0.00000000002, 2.0295086759, 78259.82808936459],\n    [0.00000000002, 2.7624413066, 79219.30916633119],\n    [0.00000000002, 1.75174914928, 77734.01845962799],\n    [0.00000000002, 5.53512457012, 82815.66292178139],\n    [0.00000000001, 5.85249550691, 80482.46652890938],\n    [0.00000000001, 3.81987601159, 181555.94006083018],\n    [0.00000000002, 4.40970001516, 103821.92160120218],\n    [0.00000000001, 5.22138031517, 162188.75089859738],\n    [0.00000000001, 3.73642972825, 77204.32749453338],\n    [0.00000000002, 0.49707359743, 71492.99882347698],\n    [0.00000000001, 1.3866065995, 40853.142184844],\n    [0.00000000001, 2.95221907246, 76674.63652943878],\n    [0.00000000002, 1.29222474765, 105410.99449648599],\n    [0.00000000002, 2.25962890984, 108903.56606335558],\n    [0.00000000002, 1.16550489633, 78793.40038981718],\n    [0.00000000001, 0.36415945149, 125887.56221081219],\n    [0.00000000002, 4.08854513089, 104881.30353139139],\n    [0.00000000001, 3.08110954685, 76044.9523205358],\n    [0.00000000001, 3.03258348439, 78256.59587772179],\n    [0.00000000001, 3.77632466126, 64741.95798313119],\n    [0.00000000002, 3.64167234446, 45405.0956819028],\n    [0.00000000001, 4.69654806259, 88476.99497093359],\n    [0.00000000001, 2.51395607415, 55618.3812281138],\n    [0.00000000001, 1.62785445812, 52389.1053785864],\n    [0.00000000001, 1.72317308732, 62389.09182935939],\n    [0.00000000001, 0.02541044713, 52168.69273614759],\n    [0.00000000001, 5.45367779477, 77308.10968311399],\n    [0.00000000001, 4.37214899281, 26301.2022370122],\n    [0.00000000001, 2.06676015946, 103396.01282468818],\n    [0.00000000002, 1.72366900008, 63498.47038145279],\n    [0.00000000001, 4.26409824775, 68050.42387851159],\n    [0.00000000001, 1.1338494957, 73711.75592766379],\n    [0.00000000001, 2.59146532084, 52290.24557183361],\n    [0.00000000001, 0.57771259518, 52179.6876185064],\n    [0.00000000001, 6.05911204257, 102132.85546210999],\n    [0.00000000002, 5.08007258698, 51646.11531805379],\n    [0.00000000001, 0.8950633111, 43071.8992890308],\n    [0.00000000001, 2.32962526981, 32858.61374281979],\n    [0.00000000001, 5.3363985592, 78283.37918562238],\n    [0.00000000001, 0.21578309169, 124778.18365871879],\n    [0.00000000001, 0.97190581639, 94138.32702008578],\n    [0.00000000001, 3.63988900749, 99799.65906923798],\n    [0.00000000001, 0.3109287703, 78244.0396638228],\n    [0.00000000001, 0.88240174201, 38654.05484155699],\n    [0.00000000001, 5.51352755464, 81706.28436968799],\n    [0.00000000001, 4.29818815666, 25874.6040461362],\n    [0.00000000001, 3.25355593666, 150866.08680029298],\n    [0.00000000001, 5.83277482201, 26202.34243025941],\n    [0.00000000001, 5.5640064274, 50057.04242277],\n    [0.00000000001, 4.10855423897, 129380.13377768178],\n    [0.00000000001, 3.530262141, 52156.1365222486],\n    [0.00000000001, 4.62648721501, 78477.00852016058],\n    [0.00000000001, 4.93260671151, 37410.5672398786],\n    [0.00000000001, 6.23775561663, 53131.406024757],\n    [0.00000000001, 4.2846862571, 66941.04532641819],\n    [0.00000000001, 2.44665953571, 52195.47604404819],\n    [0.00000000001, 5.0573021441, 129483.91596626239],\n    [0.00000000001, 3.01159658549, 105460.99111839019],\n    [0.00000000001, 5.36784540343, 26107.57290247399],\n    [0.00000000001, 3.37141132304, 48733.23133818299],\n    [0.00000000001, 2.2965792002, 51535.90899683439],\n    [0.00000000001, 5.38152228973, 52171.9249477904],\n    [0.00000000001, 4.95743222375, 35191.8101356918],\n    [0.00000000001, 0.72632545829, 130969.20667296558],\n    [0.00000000001, 5.86529301658, 102762.53967101299],\n    [0.00000000001, 2.57174065725, 26095.016688575],\n    [0.00000000001, 1.32180905788, 391318.54712361297],\n    [0.00000000001, 3.24565029816, 26080.78959457339],\n    [0.00000000001, 4.9979838811, 36301.18868778519],\n    [0.00000000001, 3.27865480193, 2118.7638603784],\n    [0.00000000001, 2.32578126782, 78270.82297172339],\n    [0.00000000001, 2.58055096142, 53764.8791784322],\n    [0.00000000001, 5.70846453783, 58946.51688439399],\n    [0.00000000001, 0.94894417845, 93028.94846799239],\n    [0.00000000001, 1.66220417885, 52602.4044740244],\n    [0.00000000001, 4.4444905623, 417406.45026518717],\n    [0.00000000001, 6.15060120914, 27676.976036858],\n    [0.00000000001, 0.21740755726, 52061.36699446317],\n    [0.00000000001, 4.14022222533, 25028.521211385],\n    [0.00000000001, 5.30484938123, 79852.78232000639],\n    [0.00000000001, 0.3549953646, 90829.86112470538],\n    [0.00000000001, 5.28585833455, 29530.4780865396],\n    [0.00000000001, 1.83471944738, 188276.65404017158],\n    [0.00000000001, 3.40823920724, 25973.46385288896],\n    [0.00000000001, 2.06905416268, 104371.28232719658],\n    [0.00000000001, 0.22297971328, 104355.49390165479],\n    [0.00000000001, 2.52348712557, 106570.36967048359],\n    [0.00000000001, 5.16350389418, 26514.5013324502],\n    [0.00000000001, 4.60303527476, 78690.30761559859],\n    [0.00000000001, 5.48255968908, 207593.84658050018],\n    [0.00000000001, 5.91676661035, 104344.49901929598],\n    [0.00000000001, 5.79807025509, 52182.9198301492],\n    [0.00000000001, 0.77021074284, 155997.72788435058],\n    [0.00000000001, 4.00131880946, 120226.23016165999],\n    [0.00000000001, 5.2415868076, 11322.6640983044],\n    [0.00000000001, 3.99128397668, 5661.3320491522],\n    [0.00000000001, 4.13603433748, 1109.3785520934],\n    [0.00000000001, 3.31920881622, 22645.32819660879],\n    [0.00000000001, 5.42291311668, 105307.21230790539],\n    [0.00000000001, 3.35669906644, 104331.94280539699],\n];\n\nconst VSOP87_L4: Vsop87Element = [\n    [0.00000002671, 4.76418299344, 52175.8062831484],\n    [0.00000002079, 2.01782765964, 26087.9031415742],\n    [0.00000002071, 1.47603650163, 78263.70942472259],\n    [0.00000001248, 4.50170414847, 104351.61256629678],\n    [0.00000000641, 1.26049541246, 130439.51570787099],\n    [0.00000000293, 4.30408398706, 156527.41884944518],\n    [0.00000000124, 1.05833043353, 182615.32199101939],\n    [0.00000000049, 4.08707632054, 208703.22513259358],\n    [0.00000000047, Math.PI],\n    [0.00000000018, 0.82373729208, 234791.12827416777],\n    [0.00000000006, 3.82469204536, 260879.03141574195],\n    [0.00000000002, 0.50074116156, 286966.93455731616],\n    [0.00000000002, 4.68954881838, 51066.427731055],\n    [0.00000000001, 1.63693177813, 24978.5245894808],\n    [0.00000000001, 3.50676934033, 313054.83769889036],\n    [0.00000000001, 4.59925122335, 27197.2816936676],\n    [0.00000000001, 4.34568926758, 79373.08797681599],\n    [0.00000000001, 1.32214662513, 53285.1848352418],\n    [0.00000000001, 1.23275471446, 129330.13715577759],\n    [0.00000000001, 1.52702783547, 77154.33087262919],\n    [0.00000000001, 4.47013011557, 103242.23401420339],\n    [0.00000000001, 0.25254465674, 339142.74084046457],\n];\n\nconst VSOP87_L5: Vsop87Element = [\n    [0.00000000039, 6.22596606829, 78263.70942472259],\n    [0.00000000035, 3.08442751462, 52175.8062831484],\n    [0.00000000036, 5.58268731752, 26087.9031415742],\n    [0.0000000003, 2.98600396234, 104351.61256629678],\n    [0.00000000019, 6.02016521976, 130439.51570787099],\n    [0.0000000001, 2.77948950109, 156527.41884944518],\n    [0.00000000005, 5.82587725191, 182615.32199101939],\n    [0.00000000002, 2.57971347645, 208703.22513259358],\n    [0.00000000001, 5.62474344959, 234791.12827416777],\n    [0.00000000001, 2.30011142231, 260879.03141574195],\n    [Math.LN2],\n];\n\nconst VSOP87_B0: Vsop87Element = [\n    [0.11737528961, 1.98357498767, 26087.9031415742],\n    [0.02388076996, 5.03738959686, 52175.8062831484],\n    [0.01222839532, Math.PI],\n    [0.0054325181, 1.79644363964, 78263.70942472259],\n    [0.0012977877, 4.83232503958, 104351.61256629678],\n    [0.00031866927, 1.58088495658, 130439.51570787099],\n    [0.00007963301, 4.60972126127, 156527.41884944518],\n    [0.00002014189, 1.35324164377, 182615.32199101939],\n    [0.00000513953, 4.37835406663, 208703.22513259358],\n    [0.00000207674, 4.91772567908, 27197.2816936676],\n    [0.00000208584, 2.02020295489, 24978.5245894808],\n    [0.00000132013, 1.11908482553, 234791.12827416777],\n    [0.00000100454, 5.65684757892, 20426.571092422],\n    [0.00000121395, 1.81271747279, 53285.1848352418],\n    [0.00000091566, 2.28163127292, 25028.521211385],\n    [0.00000099214, 0.09391887897, 51116.4243529592],\n    [0.00000094574, 1.2418492092, 31749.2351907264],\n    [0.00000078785, 4.40725881159, 57837.1383323006],\n    [0.00000077747, 0.52557074433, 1059.3819301892],\n    [0.00000084264, 5.08510405853, 51066.427731055],\n    [0.00000049948, 3.49752943761, 5661.3320491522],\n    [0.00000046454, 3.23739220729, 77204.32749453338],\n    [0.00000044767, 4.8784979856, 79373.08797681599],\n    [0.00000040766, 2.46558335253, 46514.4742339962],\n    [0.00000037378, 4.45768804232, 4551.9534970588],\n    [0.00000034082, 4.14209218714, 260879.03141574195],\n    [0.00000035911, 1.09057337889, 1109.3785520934],\n    [0.00000031953, 1.18516370205, 83925.04147387479],\n    [0.00000030954, 3.50327936487, 21535.9496445154],\n    [0.00000031808, 2.41474596045, 47623.8527860896],\n    [0.00000028691, 1.84828593103, 77154.33087262919],\n    [0.00000025765, 2.77593431876, 27043.5028831828],\n    [0.00000025199, 3.59062253553, 27147.28507176339],\n    [0.00000020244, 3.06833786595, 51646.11531805379],\n    [0.00000018591, 5.58427343534, 73711.75592766379],\n    [0.00000016971, 0.02791235969, 103292.23063610759],\n    [0.00000020099, 4.06592941642, 25132.3033999656],\n    [0.00000017002, 6.13739539823, 41962.5207369374],\n    [0.00000014984, 1.64717988399, 105460.99111839019],\n    [0.00000014186, 0.33074004324, 10213.285546211],\n    [0.00000015577, 6.0769363626, 53131.406024757],\n    [0.00000015795, 3.79629550117, 529.6909650946],\n    [0.00000014011, 5.52786584585, 72602.37737557039],\n    [0.00000012309, 3.16626255554, 14765.2390432698],\n    [0.00000011261, 0.11326489831, 13521.7514415914],\n    [0.00000012448, 4.05109307874, 39609.6545831656],\n    [0.00000013044, 3.48016460676, 37410.5672398786],\n    [0.00000011042, 4.23192795686, 110012.94461544899],\n    [0.00000011152, 0.55658540702, 63498.47038145279],\n    [0.00000010717, 1.53686088392, 25661.3049506982],\n    [0.00000010213, 2.8788115488, 12566.1516999828],\n    [0.00000009924, 0.94824538375, 65697.55772473979],\n    [0.00000011047, 5.79741513221, 51749.20809227239],\n    [0.0000001046, 5.82962192197, 50586.73338786459],\n    [0.00000009774, 1.66272232331, 24498.8302462904],\n    [0.00000009412, 1.82364862409, 15874.6175953632],\n    [0.00000012866, 4.81650992216, 30639.856638633],\n    [0.00000009123, 4.88604621694, 103242.23401420339],\n    [0.00000009011, 1.04262054312, 426.598190876],\n    [0.00000008735, 3.04135873601, 68050.42387851159],\n    [0.00000008491, 1.05130636798, 1589.0728952838],\n    [0.00000008835, 0.88128578222, 286966.93455731616],\n    [0.00000008823, 5.81343394292, 11322.6640983044],\n    [0.00000008196, 0.84015152502, 51220.20654153979],\n    [0.0000000764, 3.43583985772, 36301.18868778519],\n    [0.00000009175, 6.16060208369, 77734.01845962799],\n    [0.00000008897, 0.39691887001, 53235.18821333759],\n    [0.00000007253, 2.37180881419, 99799.65906923798],\n    [0.00000007104, 5.73556965976, 26617.5941066688],\n    [0.00000008322, 5.27157093377, 25558.2121764796],\n    [0.00000006578, 2.66741919711, 52705.49724824299],\n    [0.00000005825, 6.25072209775, 33326.5787331742],\n    [0.00000005625, 3.08030235705, 129380.13377768178],\n    [0.00000005295, 1.35863384912, 45892.73043315699],\n    [0.00000005116, 2.67577088825, 76674.63652943878],\n    [0.00000005035, 2.66615253453, 77837.11123384659],\n    [0.00000004762, 4.68983281649, 131548.89425996438],\n    [0.00000005714, 2.87338979816, 79219.30916633119],\n    [0.00000005602, 5.37191138944, 955.5997416086],\n    [0.00000004965, 3.47619928213, 59414.4818747484],\n    [0.00000005468, 1.43781628125, 56727.7597802072],\n    [0.0000000408, 4.01668024064, 91785.46086631398],\n    [0.00000003971, 5.44452628396, 6283.0758499914],\n    [0.00000004063, 5.64286268741, 26068.2333806744],\n    [0.00000003878, 3.60888347246, 89586.37352302698],\n    [0.00000004047, 5.95237490666, 38654.05484155699],\n    [0.00000004064, 1.4627790849, 26107.57290247399],\n    [0.00000003681, 0.47366868505, 62389.09182935939],\n    [0.00000004247, 6.23163524997, 40853.142184844],\n    [0.00000003694, 2.75543299806, 7238.6755916],\n    [0.00000003348, 5.9187026734, 43071.8992890308],\n    [0.00000004475, 2.28938990458, 98690.28051714458],\n    [0.00000003115, 0.74944300245, 32858.61374281979],\n    [0.000000031, 3.35203539679, 19804.8272915828],\n    [0.00000003215, 6.11377023104, 94138.32702008578],\n    [0.00000003558, 0.98821355044, 136100.84775702319],\n    [0.00000002908, 4.06284717343, 26514.5013324502],\n    [0.00000002799, 1.63603233307, 129330.13715577759],\n    [0.000000028, 3.88358973835, 77308.10968311399],\n    [0.0000000268, 4.48236519244, 71980.63357473118],\n    [0.00000002767, 4.12702608202, 27676.976036858],\n    [0.00000003285, 0.3939835153, 18849.2275499742],\n    [0.0000000329, 2.93489975877, 103821.92160120218],\n    [0.00000003048, 0.67698956234, 9103.9069941176],\n    [0.00000002484, 5.42344230141, 125887.56221081219],\n    [0.00000002663, 1.70279606207, 16983.9961474566],\n    [0.00000002791, 2.7684233936, 26091.7844769322],\n    [0.00000002747, 5.75135690787, 19317.1925403286],\n    [0.00000002676, 5.73637768264, 78793.40038981718],\n    [0.0000000271, 4.31274423123, 58946.51688439399],\n    [0.00000002877, 3.45421450693, 79323.09135491178],\n    [0.00000002791, 4.34021895901, 26084.0218062162],\n    [0.00000002097, 2.09090395873, 23869.1460373874],\n    [0.00000002297, 3.90330505329, 313054.83769889036],\n    [0.00000002535, 3.05171357512, 69159.80243060499],\n    [0.00000002211, 4.65120829674, 28306.66024576099],\n    [0.00000001912, 5.78419180084, 102762.53967101299],\n    [0.00000002265, 3.34480087923, 22645.32819660879],\n    [0.00000001817, 5.74263950195, 103925.01437542078],\n    [0.00000001961, 5.94579007147, 105307.21230790539],\n    [0.00000001922, 4.43763750052, 82815.66292178139],\n    [0.00000001667, 4.51885560989, 52195.47604404819],\n    [0.00000001771, 6.12283446589, 155468.03691925599],\n    [0.00000001515, 1.72460827268, 54394.56338733519],\n    [0.00000001585, 0.23900607949, 85502.38501632259],\n    [0.00000001477, 4.73358609259, 29530.4780865396],\n    [0.0000000147, 1.44576864221, 157636.79740153858],\n    [0.00000001652, 2.41345125134, 52156.1365222486],\n    [0.00000001377, 0.59981275344, 26080.78959457339],\n    [0.0000000143, 0.78425681154, 117873.36400788819],\n    [0.0000000168, 3.42686804945, 6770.7106012456],\n    [0.00000001604, 4.52048713019, 3442.5749449654],\n    [0.00000001345, 0.31855634174, 51535.90899683439],\n    [0.00000001357, 3.17346823148, 25874.6040461362],\n    [0.0000000125, 2.33381266189, 25448.00585526019],\n    [0.00000001196, 2.09281738041, 48733.23133818299],\n    [0.00000001195, 0.36393992281, 115674.27666460119],\n    [0.00000001443, 2.73206411694, 64741.95798313119],\n    [0.00000001375, 5.32685986405, 124778.18365871879],\n    [0.00000001325, 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[0.00000000006, 2.68051758089, 77520.71936418998],\n    [0.00000000007, 0.27107569571, 127098.90328117118],\n    [0.00000000006, 0.91950758032, 57503.2823915312],\n    [0.00000000006, 5.40186174612, 130020.03106399579],\n    [0.00000000007, 4.61008524779, 81591.84508100279],\n    [0.00000000006, 2.52775281113, 52817.21984488739],\n    [0.00000000006, 0.06428030158, 53757.76563143139],\n    [0.00000000007, 3.13678251018, 155460.92337225519],\n    [0.00000000005, 2.16958206998, 104241.40624507738],\n    [0.00000000005, 2.1612222582, 209232.91609768818],\n    [0.00000000006, 2.67263390138, 130005.80396999417],\n    [0.00000000005, 1.01489122668, 55638.05098901359],\n    [0.00000000005, 1.58074341774, 50167.24874398939],\n    [0.00000000007, 1.3200111959, 149846.19399604558],\n    [0.00000000005, 2.48050355533, 9384.8410080752],\n    [0.00000000005, 3.64485355863, 39450.3528483734],\n    [0.00000000007, 5.71272099811, 70383.6202713836],\n    [0.00000000006, 4.54553892082, 51955.39364070959],\n    [0.00000000005, 3.69884871494, 266540.36346489414],\n    [0.00000000005, 3.50561067502, 102975.83876645098],\n    [0.00000000005, 3.9787215565, 53771.99272543299],\n    [0.00000000005, 1.30705357996, 53814.87580033639],\n    [0.00000000006, 1.01004635563, 77940.20400806518],\n    [0.00000000007, 6.03507811966, 1485.9801210652],\n    [0.00000000005, 2.49612730964, 102872.74599223239],\n    [0.00000000006, 0.44812743722, 50064.15596977079],\n    [0.00000000007, 3.00491549599, 50264.6067999312],\n    [0.00000000005, 4.43939776622, 51534.3927214094],\n    [0.00000000005, 2.29114170922, 61560.64729122359],\n    [0.00000000005, 0.95563241527, 130907.48069822539],\n    [0.00000000005, 0.0745993784, 78057.52387628538],\n    [0.00000000005, 1.56476312573, 53399.624123927],\n    [0.00000000006, 4.33011184164, 156534.53239644598],\n    [0.00000000005, 4.55586232098, 52137.67324751059],\n    [0.00000000004, 0.55691399276, 189386.03259226495],\n    [0.00000000004, 2.65454855015, 107692.22499299659],\n    [0.00000000005, 3.71195236567, 128747.35003836859],\n    [0.00000000004, 0.50974112501, 54344.56676543099],\n    [0.00000000006, 6.09359126879, 104248.51979207818],\n    [0.00000000004, 5.91763059228, 52041.69723356339],\n    [0.00000000004, 4.01088339341, 104401.60918820098],\n    [0.00000000005, 0.98755148462, 1795.258443721],\n    [0.00000000005, 4.16457595792, 129586.31932611899],\n    [0.00000000005, 3.17164389668, 181975.42470470538],\n    [0.00000000004, 6.18497065795, 209762.60706278277],\n    [0.00000000006, 4.82052927723, 77741.13200662879],\n    [0.00000000005, 0.22285727897, 50007.0458008658],\n    [0.00000000004, 4.57695596525, 184834.07909520617],\n    [0.00000000004, 2.32551642285, 53265.515074342],\n    [0.00000000004, 4.83714899252, 52755.49387014719],\n    [0.00000000004, 0.47417846704, 105403.88094948517],\n    [0.00000000004, 2.61192597252, 50049.92887576919],\n    [0.00000000004, 1.01847002831, 52309.9153327334],\n    [0.00000000004, 4.93491619845, 63786.3582415226],\n    [0.00000000005, 0.29106641233, 207747.62539098498],\n    [0.00000000004, 5.23227546931, 52027.72755872209],\n    [0.00000000004, 4.51166201853, 77956.15180375299],\n    [0.00000000004, 5.45050466984, 129971.55071751658],\n    [0.00000000004, 3.77460109134, 104501.17576343138],\n    [0.00000000005, 5.22637270443, 51329.7234483972],\n    [0.00000000004, 1.64240288075, 130446.14426677099],\n    [0.00000000004, 4.12681734359, 52024.75861330549],\n    [0.00000000004, 1.28556784404, 112545.88789950538],\n    [0.00000000004, 4.76459208241, 130432.88714897096],\n    [0.00000000005, 1.15142161162, 27566.76971563859],\n    [0.00000000004, 3.5013384701, 76152.05911134499],\n    [0.00000000004, 3.46894421635, 128857.55635958798],\n    [0.00000000004, 5.61652153909, 43981.5309499398],\n    [0.00000000004, 4.02759705517, 104426.39416486409],\n    [0.00000000004, 1.34875445004, 106684.80895916879],\n    [0.00000000004, 5.13091111991, 735.8765135318],\n];\n\nconst VSOP87_B1: Vsop87Element = [\n    [0.00274646065, 3.95008450011, 26087.9031415742],\n    [0.00099737713, Math.PI],\n    [0.00018772047, 0.05141288887, 78263.70942472259],\n    [0.00023970726, 2.53272082947, 52175.8062831484],\n    [0.00008097508, 3.20946389315, 104351.61256629678],\n    [0.00002890729, 0.00943621371, 130439.51570787099],\n    [0.00000949669, 3.06780459575, 156527.41884944518],\n    [0.00000298013, 6.11414444304, 182615.32199101939],\n    [0.00000090863, 2.87023913203, 208703.22513259358],\n    [0.00000027163, 5.90488705529, 234791.12827416777],\n    [0.00000024677, 0.37210176608, 27197.2816936676],\n    [0.00000016001, 0.37499685422, 24978.5245894808],\n    [0.00000011035, 3.4885532911, 53285.1848352418],\n    [0.00000008004, 2.65315026358, 260879.03141574195],\n    [0.00000008817, 3.46732763537, 51066.427731055],\n    [0.00000004863, 3.13533089859, 31749.2351907264],\n    [0.00000004419, 2.23904465242, 51116.4243529592],\n    [0.00000003814, 0.25548693522, 77154.33087262919],\n    [0.00000002815, 0.26202289859, 79373.08797681599],\n    [0.0000000253, 0.93822440376, 25028.521211385],\n    [0.00000002333, 5.68288980482, 286966.93455731616],\n    [0.00000001895, 0.10856961205, 57837.1383323006],\n    [0.00000001701, 4.37082841476, 47623.8527860896],\n    [0.00000001899, 4.11252610224, 21535.9496445154],\n    [0.00000001471, 3.31454498058, 103242.23401420339],\n    [0.00000001398, 0.70775253481, 46514.4742339962],\n    [0.00000001479, 2.73615287841, 1109.3785520934],\n    [0.00000001354, 4.55218165396, 27043.5028831828],\n    [0.00000001109, 5.45818445766, 37410.5672398786],\n    [0.00000001052, 1.49151534032, 5661.3320491522],\n    [0.0000000093, 1.64333447742, 27147.28507176339],\n    [0.00000000989, 3.0524351962, 26107.57290247399],\n    [0.00000001079, 5.57037418878, 77204.32749453338],\n    [0.00000000906, 1.01615991422, 50586.73338786459],\n    [0.00000000883, 3.88701951249, 72602.37737557039],\n    [0.00000000815, 4.05203293287, 26068.2333806744],\n    [0.0000000101, 4.26926247841, 1059.3819301892],\n    [0.00000000865, 2.54233867528, 25132.3033999656],\n    [0.00000000861, 3.07069188532, 20426.571092422],\n    [0.00000000804, 3.64421854876, 25558.2121764796],\n    [0.00000000801, 5.97109208562, 26084.0218062162],\n    [0.00000000731, 2.98501758578, 30639.856638633],\n    [0.00000000638, 2.35143884682, 63498.47038145279],\n    [0.00000000834, 1.43265392502, 53131.406024757],\n    [0.00000000681, 1.1265221023, 26091.7844769322],\n    [0.00000000633, 0.25824675505, 529.6909650946],\n    [0.00000000557, 1.6460979015, 51749.20809227239],\n    [0.00000000571, 5.59911115025, 51220.20654153979],\n    [0.00000000674, 2.428158557, 313054.83769889036],\n    [0.00000000531, 0.08195485862, 129330.13715577759],\n    [0.00000000516, 3.3081756374, 105460.99111839019],\n    [0.00000000547, 4.88873057421, 53235.18821333759],\n    [0.00000000646, 5.15532565106, 51646.11531805379],\n    [0.00000000498, 6.25926046322, 39609.6545831656],\n    [0.00000000486, 1.90882118195, 41962.5207369374],\n    [0.00000000487, 1.46686338689, 14765.2390432698],\n    [0.00000000495, 1.33429661042, 73711.75592766379],\n    [0.00000000496, 6.18531128569, 1589.0728952838],\n    [0.00000000462, 0.10800789461, 28306.66024576099],\n    [0.00000000436, 3.9485901001, 26617.5941066688],\n    [0.00000000428, 2.66017504161, 32858.61374281979],\n    [0.00000000433, 2.66167748924, 10213.285546211],\n    [0.00000000454, 1.26447194685, 52705.49724824299],\n    [0.00000000424, 2.16539582623, 24498.8302462904],\n    [0.00000000382, 4.92616226033, 13521.7514415914],\n    [0.00000000378, 2.51470161086, 110012.94461544899],\n    [0.00000000369, 0.49272546225, 23869.1460373874],\n    [0.00000000359, 6.10388198518, 52195.47604404819],\n    [0.00000000377, 0.82879515558, 52156.1365222486],\n    [0.00000000341, 3.96944896611, 76674.63652943878],\n    [0.00000000423, 6.02804558448, 56727.7597802072],\n    [0.00000000385, 1.53468252007, 43071.8992890308],\n    [0.00000000354, 2.22262764622, 4551.9534970588],\n    [0.00000000346, 4.52919441767, 22645.32819660879],\n    [0.0000000041, 0.69983495069, 98690.28051714458],\n    [0.00000000286, 3.35426943723, 54394.56338733519],\n    [0.00000000273, 2.36744757405, 77308.10968311399],\n    [0.00000000294, 2.74202105897, 52171.9249477904],\n    [0.00000000304, 2.385405702, 19804.8272915828],\n    [0.00000000347, 5.86460557162, 25661.3049506982],\n    [0.00000000326, 5.9592182226, 58946.51688439399],\n    [0.00000000282, 4.58303975832, 40853.142184844],\n    [0.00000000295, 4.14948936071, 19317.1925403286],\n    [0.00000000234, 2.42226658329, 51535.90899683439],\n    [0.00000000308, 4.18990062677, 52179.6876185064],\n    [0.00000000227, 3.10129561309, 29530.4780865396],\n    [0.00000000223, 3.39292203864, 52168.69273614759],\n    [0.00000000301, 4.98290551019, 83925.04147387479],\n    [0.0000000021, 1.29236814505, 129380.13377768178],\n    [0.00000000231, 2.78805501752, 27676.976036858],\n    [0.00000000254, 1.75202182861, 79323.09135491178],\n    [0.00000000219, 3.11799781949, 65697.55772473979],\n    [0.00000000228, 4.7538214543, 69159.80243060499],\n    [0.00000000221, 5.66487908503, 136100.84775702319],\n    [0.00000000256, 4.33563337332, 78793.40038981718],\n    [0.00000000186, 5.08965761232, 51109.31080595839],\n    [0.00000000205, 5.61491216184, 15874.6175953632],\n    [0.0000000022, 5.33790249773, 9103.9069941176],\n    [0.00000000213, 2.92176515735, 7.1135470008],\n    [0.00000000254, 3.83544410132, 103292.23063610759],\n    [0.00000000182, 3.12436060186, 155418.04029735178],\n    [0.00000000172, 3.57237148676, 49957.0491789616],\n    [0.0000000017, 5.34074841499, 59414.4818747484],\n    [0.00000000198, 2.80899484175, 82815.66292178139],\n    [0.00000000169, 3.95433715382, 48733.23133818299],\n    [0.0000000016, 4.06638746066, 38654.05484155699],\n    [0.00000000169, 2.98278429311, 52182.9198301492],\n    [0.00000000164, 0.4840685266, 25035.6347583858],\n    [0.00000000193, 5.45282424425, 339142.74084046457],\n    [0.00000000167, 3.7696864961, 124778.18365871879],\n    [0.00000000177, 0.50498686165, 12566.1516999828],\n    [0.00000000174, 2.93891001182, 3442.5749449654],\n    [0.00000000139, 2.89354352723, 16983.9961474566],\n    [0.00000000135, 0.95689929067, 25021.4076643842],\n    [0.00000000135, 1.85739871878, 1066.49547719],\n    [0.0000000014, 0.95231303882, 45405.0956819028],\n    [0.00000000129, 4.98272235175, 62389.09182935939],\n    [0.00000000163, 4.43252627959, 79219.30916633119],\n    [0.00000000127, 2.64712841018, 6283.0758499914],\n    [0.00000000148, 4.42851788044, 639.897286314],\n    [0.0000000012, 5.47170236878, 89586.37352302698],\n    [0.00000000138, 4.66882702924, 25448.00585526019],\n    [0.00000000131, 2.39432798293, 1052.2683831884],\n    [0.00000000127, 4.28199485177, 45892.73043315699],\n    [0.00000000148, 5.8876868652, 26095.016688575],\n    [0.00000000113, 5.41723025442, 103396.01282468818],\n    [0.00000000141, 0.66045444891, 955.5997416086],\n    [0.00000000132, 3.31487233981, 25874.6040461362],\n    [0.00000000111, 2.30602187706, 26514.5013324502],\n    [0.00000000127, 4.92872197982, 77837.11123384659],\n    [0.00000000146, 4.4451496995, 51123.53789995999],\n    [0.00000000108, 1.38943506443, 26301.2022370122],\n    [0.00000000107, 2.87108086381, 78283.37918562238],\n    [0.00000000107, 6.11750618089, 55618.3812281138],\n    [0.00000000106, 4.34929118982, 94138.32702008578],\n    [0.00000000141, 5.99037156525, 26080.78959457339],\n    [0.0000000014, 1.44143660799, 66941.04532641819],\n    [0.00000000145, 3.88502701676, 78244.0396638228],\n    [0.00000000114, 4.48951543952, 155468.03691925599],\n    [0.00000000127, 4.99565339762, 6770.7106012456],\n    [0.00000000122, 0.26346073379, 50057.04242277],\n    [0.00000000106, 5.21881168514, 213.299095438],\n    [0.00000000116, 0.96831158986, 78267.59076008058],\n    [0.00000000113, 1.04970035229, 11322.6640983044],\n    [0.00000000095, 2.69641328629, 33326.5787331742],\n    [0.00000000114, 1.09238127979, 104881.30353139139],\n    [0.00000000113, 5.10217474462, 52389.1053785864],\n    [0.00000000089, 5.79526808183, 78259.82808936459],\n    [0.00000000089, 2.61728576551, 77734.01845962799],\n    [0.00000000105, 5.07516625809, 18849.2275499742],\n    [0.00000000104, 4.85110269983, 105410.99449648599],\n    [0.00000000088, 0.07845540889, 80482.46652890938],\n    [0.00000000089, 0.1731218586, 36301.18868778519],\n    [0.00000000085, 2.60578915417, 2218.7571041868],\n    [0.00000000091, 0.98738393447, 64741.95798313119],\n    [0.00000000092, 5.59469661827, 77623.81213840858],\n    [0.00000000082, 1.92444262254, 77197.21394753258],\n    [0.00000000087, 0.20380347433, 78256.59587772179],\n    [0.00000000096, 0.08189739553, 32370.9789915656],\n    [0.00000000107, 5.8371004117, 53764.8791784322],\n    [0.00000000081, 3.69706776323, 125887.56221081219],\n    [0.0000000008, 5.03346565385, 38519.945791972],\n    [0.00000000077, 6.07816721358, 78270.82297172339],\n    [0.00000000082, 0.51152795715, 102762.53967101299],\n    [0.00000000085, 1.92105479279, 88476.99497093359],\n    [0.00000000101, 0.96161245897, 74821.13447975718],\n    [0.00000000086, 0.56718393948, 2118.7638603784],\n    [0.0000000008, 5.85129854966, 108903.56606335558],\n    [0.00000000085, 0.33559096416, 68050.42387851159],\n    [0.00000000101, 2.44941820933, 162188.75089859738],\n    [0.00000000072, 5.40658854751, 52602.4044740244],\n    [0.00000000073, 1.35284250657, 77211.44104153418],\n    [0.00000000078, 1.829325449, 23969.1392811958],\n    [0.00000000078, 1.14557641661, 103821.92160120218],\n    [0.00000000063, 0.55276835341, 150866.08680029298],\n    [0.0000000006, 0.75277278015, 51962.5071877104],\n    [0.00000000067, 0.35378094005, 76044.9523205358],\n    [0.00000000066, 1.22896212635, 120226.23016165999],\n    [0.00000000075, 1.90096013413, 44937.1306915484],\n    [0.00000000078, 2.65007000101, 85034.42002596818],\n    [0.00000000067, 5.96206801213, 99799.65906923798],\n    [0.00000000057, 4.04412361561, 71492.99882347698],\n    [0.00000000063, 2.22382469625, 64607.84893354619],\n    [0.00000000057, 1.26261980819, 26727.8004278882],\n    [0.00000000066, 5.0861305638, 426.598190876],\n    [0.00000000061, 6.17937752731, 181505.94343892598],\n    [0.00000000057, 1.67383119023, 13655.8604911764],\n    [0.00000000055, 2.01862939432, 78477.00852016058],\n    [0.00000000059, 2.31048572111, 25934.1243310894],\n    [0.00000000052, 5.28302108918, 117873.36400788819],\n    [0.00000000058, 4.52853866098, 93028.94846799239],\n    [0.00000000051, 1.37470570114, 51742.09454527159],\n    [0.00000000049, 4.95150906291, 27154.3986187642],\n    [0.00000000054, 3.22580705063, 76144.94556434419],\n    [0.00000000055, 4.34494801509, 129909.82474277639],\n    [0.00000000052, 0.64534027826, 104331.94280539699],\n    [0.00000000049, 0.54893867721, 151975.46535238638],\n    [0.0000000005, 2.16547944799, 365230.64398203876],\n    [0.00000000042, 3.33958631905, 25654.19140369739],\n    [0.00000000043, 2.86670192586, 81706.28436968799],\n    [0.00000000045, 4.36618153094, 23754.70674870219],\n    [0.00000000046, 4.11608179511, 130969.20667296558],\n    [0.00000000042, 3.34341658738, 58458.88213313979],\n    [0.00000000043, 2.17611617409, 129483.91596626239],\n    [0.0000000004, 5.67208441017, 98068.53671630539],\n    [0.00000000054, 2.01769359183, 71980.63357473118],\n    [0.00000000041, 4.03526737986, 104355.49390165479],\n    [0.00000000044, 1.34241743313, 95247.70557217918],\n    [0.00000000048, 2.80283584379, 25668.418497699],\n    [0.00000000052, 1.57841300473, 91785.46086631398],\n    [0.00000000051, 1.28828842075, 181555.94006083018],\n    [0.0000000004, 1.64623403786, 131498.89763806018],\n    [0.00000000043, 1.22261583745, 25619.9381512198],\n    [0.00000000038, 5.49413456622, 433.7117378768],\n    [0.00000000045, 3.7950719832, 25973.46385288896],\n    [0.00000000036, 0.95495171363, 12432.0426503978],\n    [0.00000000044, 2.60019583483, 79852.78232000639],\n    [0.00000000035, 3.78148248909, 78050.41032928458],\n    [0.00000000036, 1.55620646402, 35191.8101356918],\n    [0.00000000036, 3.27238519467, 51322.60990139639],\n    [0.00000000038, 4.98002708714, 71025.03383312259],\n    [0.00000000041, 5.50852676734, 188276.65404017158],\n    [0.00000000036, 6.11354609097, 419.4846438752],\n    [0.00000000039, 0.62636542709, 51756.3216392732],\n    [0.00000000033, 0.05318157962, 157636.79740153858],\n    [0.00000000031, 4.47853571883, 50579.61984086379],\n    [0.00000000042, 4.11842354719, 90829.86112470538],\n    [0.00000000041, 5.03998788697, 114564.89811250778],\n    [0.00000000041, 3.30990629103, 26202.34243025941],\n    [0.00000000029, 2.87668564214, 104358.72611329758],\n    [0.00000000029, 4.48238942132, 103299.34418310839],\n    [0.00000000029, 5.92039948279, 104371.28232719658],\n    [0.00000000037, 5.51946984459, 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5.18080408909, 104564.91166173479],\n    [0.00000000028, 3.65474790938, 853.196381752],\n    [0.00000000022, 0.85921724567, 97580.90196505119],\n    [0.00000000024, 1.23363961966, 44181.27784112419],\n    [0.00000000022, 0.70470227963, 130012.91751699499],\n    [0.00000000022, 4.49230772734, 77829.99768684579],\n    [0.00000000028, 2.49868158665, 103711.71527998279],\n    [0.00000000027, 3.29515496156, 104344.49901929598],\n    [0.00000000022, 0.4457297552, 84546.78527471398],\n    [0.00000000022, 5.88047033548, 111122.32316754239],\n    [0.00000000022, 2.60977946903, 124156.43985787958],\n    [0.00000000022, 4.44538253487, 26037.90651966999],\n    [0.0000000002, 4.82064305548, 50593.84693486539],\n    [0.00000000019, 2.55536179284, 104347.73123093879],\n    [0.0000000002, 4.6403113915, 39743.7636327506],\n    [0.0000000002, 5.75240741273, 26555.8681319286],\n    [0.00000000019, 3.61612329821, 176953.98994186718],\n    [0.00000000021, 1.87806754676, 53242.3017603384],\n    [0.00000000021, 5.3347239249, 25234.70675982219],\n    [0.00000000024, 3.22504783392, 103925.01437542078],\n    [0.0000000002, 0.66874668037, 24505.94379329119],\n    [0.00000000018, 4.02462395449, 25455.119402261],\n    [0.00000000024, 3.43375195287, 102132.85546210999],\n    [0.00000000019, 2.22650377926, 51639.00177105299],\n    [0.00000000017, 5.55040575898, 7994.5284420242],\n    [0.00000000022, 2.31932242347, 33967.99229491319],\n    [0.00000000018, 3.12472807269, 2333.196392872],\n    [0.00000000017, 1.3304657234, 119116.85160956658],\n    [0.00000000022, 2.3138711772, 7238.6755916],\n    [0.00000000019, 3.58998679047, 100909.03762133139],\n    [0.00000000019, 3.87014504106, 77844.22478084739],\n    [0.00000000019, 3.09565971234, 183724.70054311278],\n    [0.00000000016, 5.37852102811, 52099.5402118728],\n    [0.00000000016, 0.33931328678, 104138.31347085879],\n    [0.00000000016, 3.61136447801, 25938.3399444396],\n    [0.00000000016, 4.67702694427, 70269.18098269838],\n    [0.00000000016, 3.62892599352, 45494.58142974879],\n    [0.00000000018, 0.09335270206, 52290.24557183361],\n    [0.00000000016, 4.26164005531, 18207.81398823521],\n    [0.00000000018, 3.0329799939, 18093.37469954999],\n    [0.00000000018, 1.42431884027, 52329.58509363319],\n    [0.00000000018, 1.9575184201, 1581.959348283],\n    [0.00000000016, 5.7748668233, 105940.68546158058],\n    [0.00000000018, 4.34696486181, 207643.84320240439],\n    [0.00000000016, 5.63459120036, 60055.89543648739],\n    [0.00000000019, 3.63064346775, 178063.36849396059],\n    [0.00000000014, 2.24040737633, 26521.614879451],\n    [0.00000000015, 0.02625056785, 5327.4761083828],\n    [0.00000000016, 2.36249545609, 53228.07466633679],\n    [0.00000000014, 4.71907120236, 536.8045120954],\n    [0.00000000014, 4.97342838812, 632.7837393132],\n    [0.00000000013, 0.88467126264, 157057.10981453978],\n    [0.00000000017, 3.02173052534, 128850.44281258718],\n    [0.00000000014, 3.69908958351, 130419.8459469712],\n    [0.00000000017, 2.9736325737, 207593.84658050018],\n    [0.00000000014, 3.36313158411, 26507.38778544939],\n    [0.00000000014, 5.19298126606, 391318.54712361297],\n    [0.00000000016, 6.22012529996, 54509.0026760204],\n    [0.00000000015, 0.11681094638, 77410.51304297059],\n    [0.00000000012, 1.76556010523, 97112.93697469679],\n    [0.00000000012, 1.25999627705, 131395.11544947959],\n    [0.00000000016, 0.55859453886, 52061.36699446317],\n    [0.00000000012, 4.71974002613, 157586.80077963437],\n    [0.00000000014, 1.8307172475, 140652.80125408198],\n    [0.00000000012, 2.28368820761, 214364.55718174578],\n    [0.00000000012, 6.24305669176, 102232.84870591838],\n    [0.00000000013, 0.94418392757, 116917.76426627958],\n    [0.00000000013, 5.67747595071, 52022.0274726636],\n    [0.00000000014, 2.65222906369, 52643.7712735028],\n    [0.00000000011, 4.46099054997, 90695.75207512038],\n    [0.00000000011, 0.77812998358, 130443.39704322898],\n    [0.00000000011, 4.78834330208, 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141762.17980617538],\n    [0.00000000008, 3.27159786562, 27311.72098235281],\n    [0.0000000001, 4.04735211723, 72936.23331633979],\n    [0.00000000009, 0.6666194985, 522.5774180938],\n    [0.00000000008, 2.11915755526, 111590.28815789679],\n    [0.0000000001, 3.96196817321, 26094.53170047421],\n    [0.00000000009, 5.9789921761, 209812.60368468695],\n    [0.00000000008, 5.90414175287, 130446.62925487179],\n    [0.00000000009, 4.70218884623, 26190.99591579279],\n    [0.00000000007, 5.0002883811, 7880.08915333899],\n    [0.00000000007, 0.2766260262, 105307.21230790539],\n    [0.00000000008, 3.59796141286, 110634.68841628819],\n    [0.00000000006, 4.71394306694, 78417.48823520739],\n    [0.00000000007, 5.65972341474, 129799.61842155698],\n    [0.00000000006, 1.30176713541, 78903.60671103658],\n    [0.00000000007, 0.48324947354, 204151.27163553478],\n    [0.00000000006, 2.68955966786, 130459.18546877075],\n    [0.00000000006, 3.9119444999, 123668.80510662538],\n    [0.00000000006, 4.25610046715, 121335.60871375339],\n    [0.00000000006, 4.39774898148, 145204.75475114079],\n    [0.00000000006, 2.03358239461, 130652.81480330898],\n    [0.00000000006, 5.10307826199, 13362.4497067992],\n    [0.00000000007, 5.73368412719, 150244.34299945379],\n    [0.00000000007, 1.79893081867, 129373.02023068098],\n    [0.00000000006, 1.6022075741, 31415.379249957],\n    [0.00000000005, 5.3358735407, 77726.90491262719],\n    [0.00000000006, 0.69127308024, 103932.12792242158],\n    [0.00000000006, 1.30528239429, 103917.90082841998],\n    [0.00000000007, 3.42052770753, 25881.717593137],\n    [0.00000000006, 0.20662663852, 128220.75860368418],\n    [0.00000000006, 1.76394381916, 76681.75007643958],\n    [0.00000000005, 1.55332352133, 65831.6667743248],\n    [0.00000000005, 0.39891046615, 203041.89308344138],\n    [0.00000000005, 5.00920311857, 154938.34595416138],\n    [0.00000000007, 0.0754199349, 130432.40216087017],\n    [0.00000000005, 3.95655297699, 25440.89230825939],\n    [0.00000000005, 1.60878156139, 25984.8103673556],\n    [0.00000000005, 5.63420105001, 130435.63437251298],\n    [0.00000000005, 5.71235725527, 52225.8029050526],\n    [0.00000000005, 4.82602182938, 123200.84011627098],\n    [0.00000000005, 4.28914322665, 51707.84129279399],\n    [0.00000000005, 2.45008961451, 132028.58860315479],\n    [0.00000000005, 3.44380232013, 130226.21661243298],\n    [0.00000000005, 0.69360997254, 126996.94076290558],\n    [0.00000000005, 1.20349712708, 233731.74634397858],\n    [0.00000000005, 4.94561230543, 137678.19129947099],\n    [0.00000000005, 4.02914734341, 143005.66740785378],\n    [0.00000000004, 3.1570547589, 78378.14871340781],\n    [0.00000000005, 6.19462947577, 1478.8665740644],\n    [0.00000000005, 6.1934617354, 132658.27281205778],\n    [0.00000000004, 4.93966028252, 166740.70439565618],\n    [0.00000000005, 5.83365858307, 68241.87214462319],\n    [0.00000000005, 4.88444080196, 79330.20490191258],\n    [0.00000000004, 1.49931528728, 26294.08869001139],\n    [0.00000000004, 4.91166258069, 167850.08294774959],\n    [0.00000000004, 0.5121414737, 156507.74908854539],\n    [0.00000000004, 2.48188443978, 11610.5519583742],\n    [0.00000000004, 5.18875909536, 206.1855484372],\n    [0.00000000004, 4.96587091153, 77630.92568540938],\n    [0.00000000004, 2.56954562406, 137210.22630911658],\n    [0.00000000005, 6.06172636184, 3340.6124266998],\n    [0.00000000004, 2.59361967134, 6681.2248533996],\n    [0.00000000004, 3.9818289606, 52712.61079524379],\n    [0.00000000004, 1.85196935264, 87367.61641884019],\n    [0.00000000004, 2.97167846271, 80596.9058175946],\n    [0.00000000004, 0.38918279754, 52595.29092702359],\n    [0.00000000005, 5.71555094572, 32769.1279949738],\n    [0.00000000004, 2.86579870082, 128320.75184749259],\n    [0.00000000004, 0.86678424442, 75930.51303185058],\n    [0.00000000004, 5.77822773684, 78731.674415077],\n    [0.00000000003, 4.14814530126, 25867.49049913539],\n    [0.00000000004, 2.6578656826, 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3.9877468567, 183145.01295611398],\n    [0.00000000003, 5.35092623925, 77616.69859140778],\n    [0.00000000003, 0.90485441793, 76.2660712756],\n    [0.00000000004, 2.70337567475, 133882.09065283638],\n    [0.00000000004, 2.08518328683, 78114.14622758799],\n    [0.00000000003, 2.3395353258, 86143.79857806159],\n    [0.00000000004, 0.81158752062, 182188.72380014337],\n    [0.00000000003, 2.11502738121, 196137.07343261078],\n    [0.00000000003, 0.95681396301, 12546.481939083],\n    [0.00000000003, 1.37222728295, 181026.24909573558],\n    [0.00000000003, 2.23536000215, 417406.45026518717],\n    [0.00000000003, 5.3716500751, 240452.46032331996],\n    [0.00000000003, 1.20257903149, 44295.7171298094],\n    [0.00000000003, 0.52673171914, 136722.59155786238],\n    [0.00000000003, 0.52016201639, 71582.48457132299],\n    [0.00000000003, 3.50325656987, 49842.60989027639],\n    [0.00000000003, 3.62611352126, 53029.0026649004],\n    [0.00000000003, 1.62670747573, 104505.39137678158],\n    [0.00000000003, 3.48868699337, 51219.51712717779],\n    [0.00000000002, 3.6751108391, 19406.6782881746],\n    [0.00000000003, 0.39109925063, 66653.15746634839],\n    [0.00000000003, 2.84800545852, 235900.50682626116],\n    [0.00000000002, 5.66788822044, 52381.99183158559],\n    [0.00000000003, 5.55181174326, 78786.28684281638],\n    [0.00000000002, 4.8807464996, 64901.25971792339],\n    [0.00000000003, 1.5006193136, 52278.89905736699],\n    [0.00000000002, 1.30186439584, 96357.08412427259],\n    [0.00000000002, 4.21971266464, 198489.93958638258],\n    [0.00000000003, 2.00366252191, 181659.72224941078],\n    [0.00000000002, 3.71342666703, 48847.6706268682],\n    [0.00000000002, 5.93200805535, 16066.0658614748],\n    [0.00000000002, 1.0571848166, 208173.53416749898],\n    [0.00000000003, 2.15332656359, 103.0927742186],\n    [0.00000000002, 4.39182749038, 155475.15046625677],\n    [0.00000000003, 4.28206460476, 78213.71280281838],\n    [0.00000000003, 5.86398017019, 48835.19385644859],\n    [0.00000000002, 2.36207569977, 53771.99272543299],\n    [0.00000000002, 1.5691076925, 163766.09444104518],\n    [0.00000000002, 2.59173243384, 50483.640613646],\n    [0.00000000003, 4.91698084392, 102769.65321801379],\n    [0.00000000002, 2.55209144895, 176332.24614102798],\n    [0.00000000002, 5.16963361594, 27669.86248985719],\n    [0.00000000002, 1.10612817954, 1162.4747044078],\n    [0.00000000002, 2.31962293255, 34082.4315835984],\n    [0.00000000002, 2.51789048589, 51951.46148744649],\n    [0.00000000002, 2.36943618837, 78187.44335344699],\n];\n\nconst VSOP87_B2: Vsop87Element = [\n    [0.00002747165, 5.24567337999, 26087.9031415742],\n    [0.00002047257],\n    [0.0000051603, 0.49321133154, 52175.8062831484],\n    [0.00000407309, 4.32215500849, 78263.70942472259],\n    [0.00000266936, 1.42744634495, 104351.61256629678],\n    [0.00000133544, 4.61055165903, 130439.51570787099],\n    [0.00000056956, 1.44017544018, 156527.41884944518],\n    [0.00000022049, 4.52127237069, 182615.32199101939],\n    [0.00000008008, 1.30182043008, 208703.22513259358],\n    [0.00000002781, 4.35468456951, 234791.12827416777],\n    [0.00000001304, 2.02991901716, 27197.2816936676],\n    [0.00000000934, 1.11727595126, 260879.03141574195],\n    [0.00000000511, 4.80027921181, 24978.5245894808],\n    [0.00000000433, 5.13987059401, 53285.1848352418],\n    [0.00000000413, 1.75599872832, 51066.427731055],\n    [0.00000000306, 4.15800645361, 286966.93455731616],\n    [0.00000000236, 4.88575156209, 77154.33087262919],\n    [0.00000000123, 3.39712849299, 51116.4243529592],\n    [0.00000000113, 1.69721095056, 103242.23401420339],\n    [0.00000000109, 4.54767694492, 31749.2351907264],\n    [0.00000000108, 5.9332742468, 21535.9496445154],\n    [0.00000000078, 5.68234392096, 27043.5028831828],\n    [0.00000000098, 0.91744844557, 313054.83769889036],\n    [0.00000000065, 1.90438129465, 79373.08797681599],\n    [0.00000000049, 4.78044793954, 129330.13715577759],\n    [0.00000000053, 2.39315457975, 50586.73338786459],\n    [0.00000000041, 1.89540481457, 28306.66024576099],\n    [0.00000000042, 1.13215562166, 20426.571092422],\n    [0.0000000004, 5.86412789562, 47623.8527860896],\n    [0.00000000036, 2.38000382517, 53131.406024757],\n    [0.0000000004, 0.82891454094, 37410.5672398786],\n    [0.00000000034, 1.74213345173, 25132.3033999656],\n    [0.00000000036, 4.80372288439, 46514.4742339962],\n    [0.0000000003, 5.75393949543, 22645.32819660879],\n    [0.00000000035, 5.5181181521, 529.6909650946],\n    [0.00000000029, 5.15973032252, 23869.1460373874],\n    [0.00000000029, 2.04610351418, 72602.37737557039],\n    [0.00000000027, 5.07400464228, 1109.3785520934],\n    [0.00000000031, 3.94180796281, 339142.74084046457],\n    [0.00000000024, 4.46907480172, 51220.20654153979],\n    [0.00000000027, 4.50770662559, 32858.61374281979],\n    [0.00000000023, 5.00540243174, 54394.56338733519],\n    [0.00000000025, 6.03143676776, 25028.521211385],\n    [0.00000000022, 4.97381466604, 26107.57290247399],\n    [0.00000000021, 2.35286083421, 26617.5941066688],\n    [0.00000000023, 3.65155458684, 25558.2121764796],\n    [0.00000000019, 1.56301436637, 155418.04029735178],\n    [0.00000000023, 0.21718413372, 51646.11531805379],\n    [0.00000000018, 1.62952557958, 26084.0218062162],\n    [0.00000000017, 1.10257903328, 57837.1383323006],\n    [0.00000000018, 5.97011387153, 52705.49724824299],\n    [0.00000000022, 5.72062354443, 77204.32749453338],\n    [0.00000000016, 3.15376195838, 53235.18821333759],\n    [0.00000000016, 1.95864204506, 49957.0491789616],\n    [0.00000000016, 3.95804080297, 63498.47038145279],\n    [0.00000000019, 5.27215888569, 98690.28051714458],\n    [0.00000000017, 5.49404503835, 14765.2390432698],\n    [0.00000000019, 3.33825173375, 43071.8992890308],\n    [0.00000000015, 6.15675923639, 4551.9534970588],\n    [0.0000000002, 6.08858427909, 26068.2333806744],\n    [0.00000000014, 5.89923942766, 25874.6040461362],\n    [0.00000000018, 4.82964144481, 1589.0728952838],\n    [0.00000000014, 1.07537737789, 77308.10968311399],\n    [0.00000000017, 3.1478356971, 26091.7844769322],\n    [0.00000000014, 3.32356467619, 25661.3049506982],\n    [0.00000000016, 5.27195291262, 76674.63652943878],\n    [0.00000000014, 1.10462125133, 39609.6545831656],\n    [0.00000000014, 4.2560245003, 51535.90899683439],\n    [0.00000000017, 1.33800696335, 58946.51688439399],\n    [0.00000000016, 2.52350108526, 19317.1925403286],\n    [0.00000000012, 2.79038116103, 40853.142184844],\n    [0.00000000012, 1.85567065198, 103292.23063610759],\n    [0.00000000014, 4.37656794787, 56727.7597802072],\n    [0.00000000015, 5.47646255736, 25973.46385288896],\n    [0.00000000011, 5.96971832495, 27147.28507176339],\n    [0.00000000012, 2.70038843071, 41962.5207369374],\n    [0.00000000013, 1.60466136746, 26202.34243025941],\n    [0.0000000001, 3.38206384741, 24498.8302462904],\n    [0.00000000011, 5.82335799292, 48733.23133818299],\n    [0.00000000013, 2.8216492732, 78793.40038981718],\n    [0.00000000011, 0.07458891736, 79323.09135491178],\n    [0.00000000009, 2.11663162533, 26095.016688575],\n    [0.00000000009, 1.32867484444, 29530.4780865396],\n    [0.00000000009, 0.82317919987, 365230.64398203876],\n    [0.00000000011, 2.5198207061, 213.299095438],\n    [0.00000000009, 5.6125510058, 45405.0956819028],\n    [0.00000000008, 0.5105233569, 110012.94461544899],\n    [0.00000000008, 3.57838242313, 9103.9069941176],\n    [0.00000000011, 3.16612623037, 10213.285546211],\n    [0.00000000009, 1.1780698089, 82815.66292178139],\n    [0.00000000007, 4.44614528188, 55618.3812281138],\n    [0.0000000001, 1.64021877585, 30639.856638633],\n    [0.00000000007, 3.01288118296, 33326.5787331742],\n    [0.0000000001, 6.01140407134, 36301.18868778519],\n    [0.00000000007, 2.76299517138, 83925.04147387479],\n    [0.00000000009, 1.93819742025, 124778.18365871879],\n    [0.00000000007, 5.86071538076, 26301.2022370122],\n    [0.00000000009, 2.91823648304, 26080.78959457339],\n    [0.00000000008, 1.31267725201, 3442.5749449654],\n    [0.00000000007, 3.27939983168, 16983.9961474566],\n    [0.00000000007, 2.72030070524, 51749.20809227239],\n    [0.00000000009, 1.66808932215, 50057.04242277],\n    [0.00000000007, 5.03188425899, 76044.9523205358],\n    [0.00000000006, 5.00360500512, 79219.30916633119],\n    [0.00000000007, 6.07818216662, 7.1135470008],\n    [0.00000000007, 5.25223733427, 129380.13377768178],\n    [0.00000000006, 0.66028465921, 38519.945791972],\n    [0.00000000008, 1.46897620912, 27676.976036858],\n    [0.00000000006, 3.892971537, 136100.84775702319],\n    [0.00000000006, 1.42686898116, 1059.3819301892],\n    [0.00000000007, 4.44152723528, 15874.6175953632],\n    [0.00000000006, 4.59565794787, 181505.94343892598],\n    [0.00000000007, 6.07267965515, 66941.04532641819],\n    [0.00000000006, 3.24607855066, 52389.1053785864],\n    [0.00000000005, 4.06197322543, 103396.01282468818],\n    [0.00000000005, 0.20766621493, 69159.80243060499],\n    [0.00000000007, 5.63268204588, 104881.30353139139],\n    [0.00000000006, 4.70546255833, 52290.24557183361],\n    [0.00000000005, 5.48898995924, 5661.3320491522],\n    [0.00000000006, 2.60268608066, 639.897286314],\n    [0.00000000005, 3.75395808867, 1066.49547719],\n    [0.00000000005, 2.27447016547, 52061.36699446317],\n    [0.00000000006, 5.59309697114, 23754.70674870219],\n    [0.00000000006, 3.30437999047, 51962.5071877104],\n    [0.00000000005, 2.83333016549, 77734.01845962799],\n    [0.00000000004, 4.18886248495, 2218.7571041868],\n    [0.00000000004, 5.44996443878, 25448.00585526019],\n    [0.00000000004, 2.49467694933, 6283.0758499914],\n    [0.00000000005, 5.70870935931, 2118.7638603784],\n    [0.00000000005, 3.22395783989, 105410.99449648599],\n    [0.00000000004, 0.09916856221, 13655.8604911764],\n    [0.00000000005, 0.59973221538, 955.5997416086],\n    [0.00000000004, 1.80254747407, 80482.46652890938],\n    [0.00000000003, 5.23309315292, 64741.95798313119],\n    [0.00000000003, 2.39330094298, 38654.05484155699],\n    [0.00000000003, 2.57458433543, 155468.03691925599],\n    [0.00000000004, 5.07115322045, 78267.59076008058],\n    [0.00000000004, 5.77967325372, 26514.5013324502],\n    [0.00000000003, 2.3014815175, 73711.75592766379],\n    [0.00000000004, 4.21727708992, 1052.2683831884],\n    [0.00000000003, 2.46345351544, 426.598190876],\n    [0.00000000003, 4.25457558968, 108903.56606335558],\n    [0.00000000003, 5.13279896483, 150866.08680029298],\n    [0.00000000003, 4.72421832023, 18849.2275499742],\n    [0.00000000003, 6.1159331072, 59414.4818747484],\n    [0.00000000003, 2.488795594, 71492.99882347698],\n    [0.00000000003, 4.4764330263, 53764.8791784322],\n    [0.00000000004, 6.14344706234, 78477.00852016058],\n    [0.00000000003, 1.51533003761, 28421.0995344462],\n    [0.00000000003, 0.71956036719, 11322.6640983044],\n    [0.00000000003, 2.6734837986, 74821.13447975718],\n    [0.00000000003, 0.79945669251, 162188.75089859738],\n    [0.00000000003, 2.14815045285, 78244.0396638228],\n    [0.00000000003, 2.82222191238, 62389.09182935939],\n    [0.00000000003, 2.76748201992, 52602.4044740244],\n    [0.00000000003, 1.9689835293, 102762.53967101299],\n    [0.00000000002, 1.16780835398, 78283.37918562238],\n    [0.00000000002, 4.47449945171, 12566.1516999828],\n    [0.00000000003, 2.8804718318, 93028.94846799239],\n    [0.00000000002, 3.80780256116, 64607.84893354619],\n    [0.00000000002, 1.27798847041, 81706.28436968799],\n    [0.00000000002, 1.54584958809, 28206.6670019526],\n    [0.00000000003, 1.17857208902, 77623.81213840858],\n    [0.00000000002, 4.88982108835, 68050.42387851159],\n    [0.00000000002, 2.64659209004, 130969.20667296558],\n    [0.00000000002, 0.77279881726, 129483.91596626239],\n    [0.00000000002, 4.19328099887, 78259.82808936459],\n    [0.00000000002, 1.80053876257, 853.196381752],\n    [0.00000000002, 2.85455305411, 7994.5284420242],\n    [0.00000000002, 4.55116089785, 52156.1365222486],\n    [0.00000000002, 4.39479757391, 85034.42002596818],\n    [0.00000000002, 0.20942265156, 88476.99497093359],\n    [0.00000000002, 1.26254478035, 79852.78232000639],\n    [0.00000000002, 3.8915072232, 391318.54712361297],\n    [0.00000000002, 2.04228268324, 13521.7514415914],\n    [0.00000000002, 1.63162182525, 52179.6876185064],\n    [0.00000000002, 0.06540438917, 131498.89763806018],\n    [0.00000000002, 2.37116664144, 94138.32702008578],\n    [0.00000000002, 5.93228693986, 52168.69273614759],\n    [0.00000000002, 3.72472287325, 65697.55772473979],\n    [0.00000000002, 3.93660707629, 99799.65906923798],\n    [0.00000000002, 4.86329180578, 131548.89425996438],\n    [0.00000000002, 3.49584320658, 52195.47604404819],\n    [0.00000000002, 4.53167102336, 76144.94556434419],\n    [0.00000000002, 0.10881384247, 6770.7106012456],\n    [0.00000000002, 1.48407007502, 105307.21230790539],\n    [0.00000000002, 1.81828652056, 102132.85546210999],\n    [0.00000000002, 3.7527454864, 105460.99111839019],\n    [0.00000000002, 5.33436795308, 104331.94280539699],\n    [0.00000000001, 0.16054262075, 52171.9249477904],\n    [0.00000000002, 5.19574633584, 51322.60990139639],\n    [0.00000000002, 5.79451235679, 103821.92160120218],\n    [0.00000000001, 4.31275936318, 104371.28232719658],\n    [0.00000000002, 5.87361011941, 181555.94006083018],\n    [0.00000000001, 0.84208500803, 51123.53789995999],\n    [0.00000000001, 5.8342411387, 120226.23016165999],\n    [0.00000000001, 1.49109031037, 78378.14871340781],\n    [0.00000000001, 2.29392399306, 104355.49390165479],\n    [0.00000000001, 1.63896473054, 125887.56221081219],\n    [0.00000000001, 3.95295093204, 188276.65404017158],\n    [0.00000000001, 0.96789367427, 44937.1306915484],\n    [0.00000000002, 1.30685997283, 51109.31080595839],\n    [0.00000000002, 0.18671610339, 25021.4076643842],\n    [0.00000000001, 0.9582640192, 104347.73123093879],\n    [0.00000000001, 5.52121474401, 97580.90196505119],\n    [0.00000000002, 0.59513540388, 35191.8101356918],\n    [0.00000000001, 5.15925373621, 19804.8272915828],\n    [0.00000000001, 0.65006628215, 78050.41032928458],\n    [0.00000000002, 1.90450740831, 23969.1392811958],\n    [0.00000000001, 4.32826013352, 77837.11123384659],\n    [0.00000000001, 4.65423180642, 78256.59587772179],\n    [0.00000000001, 4.01765755434, 45892.73043315699],\n    [0.00000000001, 1.0620572703, 134991.46920492979],\n    [0.00000000001, 5.91135191152, 26727.8004278882],\n    [0.00000000001, 5.33774808422, 78149.27013603736],\n    [0.00000000001, 5.7819842315, 91785.46086631398],\n    [0.00000000001, 2.96773065217, 129909.82474277639],\n    [0.00000000001, 3.3097581918, 39743.7636327506],\n    [0.00000000001, 6.10771078765, 25035.6347583858],\n    [0.00000000001, 5.67221349248, 52182.9198301492],\n    [0.00000000001, 2.48518819686, 90829.86112470538],\n    [0.00000000001, 4.24431178719, 78270.82297172339],\n    [0.00000000001, 3.23031265434, 7238.6755916],\n    [0.00000000001, 3.34535840387, 114564.89811250778],\n    [0.00000000001, 3.87498999181, 71025.03383312259],\n    [0.00000000001, 0.37439113949, 78690.30761559859],\n    [0.00000000001, 3.33731181959, 104564.91166173479],\n    [0.00000000001, 5.11692827664, 151975.46535238638],\n    [0.00000000001, 2.03914564106, 176953.98994186718],\n    [0.00000000001, 6.15951882831, 70269.18098269838],\n    [0.00000000001, 1.26757694099, 104358.72611329758],\n];\n\nconst VSOP87_B3: Vsop87Element = [\n    [0.0000006468, 2.16518315874, 26087.9031415742],\n    [0.00000030733],\n    [0.00000018929, 5.40870348072, 52175.8062831484],\n    [0.00000009797, 2.41402344018, 78263.70942472259],\n    [0.00000006861, 5.88312096876, 104351.61256629678],\n    [0.00000004367, 2.88362764626, 130439.51570787099],\n    [0.00000002344, 6.0558166462, 156527.41884944518],\n    [0.00000001105, 2.89178837278, 182615.32199101939],\n    [0.00000000475, 5.98256115875, 208703.22513259358],\n    [0.00000000191, 2.77298018505, 234791.12827416777],\n    [0.00000000073, 5.83474996935, 260879.03141574195],\n    [0.00000000027, 2.60945701067, 286966.93455731616],\n    [0.00000000024, 3.87337367986, 27197.2816936676],\n    [0.00000000016, 1.06059146335, 24978.5245894808],\n    [0.00000000008, 5.66780041298, 313054.83769889036],\n    [0.00000000006, 5.58854950623, 51066.427731055],\n    [0.00000000007, 3.08546607033, 77154.33087262919],\n    [0.00000000005, 0.02983831713, 103242.23401420339],\n    [0.00000000003, 2.47133249668, 339142.74084046457],\n    [0.00000000002, 1.54850606185, 1109.3785520934],\n    [0.00000000003, 1.80338603638, 53285.1848352418],\n    [0.00000000002, 3.17513673341, 129330.13715577759],\n    [0.00000000002, 0.12967223359, 79373.08797681599],\n    [0.00000000001, 5.35275811299, 20426.571092422],\n    [0.00000000001, 1.51126337634, 21535.9496445154],\n    [0.00000000001, 2.60937074595, 46514.4742339962],\n    [0.00000000001, 4.35415847538, 25132.3033999656],\n    [0.00000000001, 0.0149555542, 1059.3819301892],\n    [0.00000000001, 0.38681085251, 31749.2351907264],\n    [0.00000000001, 1.49317898303, 27043.5028831828],\n    [0.00000000001, 1.37353507736, 1589.0728952838],\n    [0.00000000001, 4.03577664541, 4551.9534970588],\n    [0.00000000001, 3.34548299714, 105460.99111839019],\n    [0.00000000001, 5.16936349855, 25028.521211385],\n    [0.00000000001, 0.11390654963, 5661.3320491522],\n    [0.00000000001, 1.41108698419, 47623.8527860896],\n    [0.00000000001, 6.2512804421, 155418.04029735178],\n    [0.00000000001, 6.08850785156, 51116.4243529592],\n];\n\nconst VSOP87_B4: Vsop87Element = [\n    [0.00000001427, 4.97519726738, 26087.9031415742],\n    [0.00000000491, Math.PI],\n    [0.00000000336, 3.19691284098, 52175.8062831484],\n    [0.00000000243, 0.57739947651, 78263.70942472259],\n    [0.0000000017, 4.04262780835, 104351.61256629678],\n    [0.0000000012, 1.12342918082, 130439.51570787099],\n    [0.00000000076, 4.36272648537, 156527.41884944518],\n    [0.00000000043, 1.23406162348, 182615.32199101939],\n    [0.00000000022, 4.35637189777, 208703.22513259358],\n    [0.0000000001, 1.16395130801, 234791.12827416777],\n    [0.00000000004, 4.27354172628, 260879.03141574195],\n    [0.00000000001, 1.02393401255, 286966.93455731616],\n];\n\nconst VSOP87_B5: Vsop87Element = [\n    [0.00000000009, 1.38311629808, 52175.8062831484],\n    [0.00000000008, 5.38548752147, 26087.9031415742],\n    [0.00000000006, 4.90804019263, 78263.70942472259],\n    [0.00000000006],\n    [0.00000000004, 2.13779173141, 104351.61256629678],\n    [0.00000000003, 5.58133586504, 130439.51570787099],\n    [0.00000000002, 2.64274667677, 156527.41884944518],\n    [0.00000000001, 5.83772628756, 182615.32199101939],\n    [0.00000000001, 2.68770315459, 208703.22513259358],\n];\n\nconst VSOP87_R0: Vsop87Element = [\n    [0.39528271651],\n    [0.07834131818, 6.19233722598, 26087.9031415742],\n    [0.00795525558, 2.95989690104, 52175.8062831484],\n    [0.00121281764, 6.01064153797, 78263.70942472259],\n    [0.00021921969, 2.77820093972, 104351.61256629678],\n    [0.00004354065, 5.82894543774, 130439.51570787099],\n    [0.00000918228, 2.59650562845, 156527.41884944518],\n    [0.00000260033, 3.02817753901, 27197.2816936676],\n    [0.00000289955, 1.42441937278, 25028.521211385],\n    [0.00000201855, 5.64725040577, 182615.32199101939],\n    [0.00000201498, 5.59227727403, 31749.2351907264],\n    [0.0000014198, 6.25264206514, 24978.5245894808],\n    [0.00000100144, 3.73435615066, 21535.9496445154],\n    [0.00000077561, 3.66972523786, 20426.571092422],\n    [0.00000063277, 4.29905566028, 25558.2121764796],\n    [0.00000062951, 4.76588960835, 1059.3819301892],\n    [0.00000066753, 2.52520325806, 5661.3320491522],\n    [0.000000755, 4.47428643135, 51116.4243529592],\n    [0.00000048265, 6.06824353565, 53285.1848352418],\n    [0.00000045748, 2.41480951848, 208703.22513259358],\n    [0.00000035224, 1.05917819542, 27043.5028831828],\n    [0.00000040815, 2.35882025197, 57837.1383323006],\n    [0.00000044235, 1.21957279824, 15874.6175953632],\n    [0.00000033873, 0.86381554218, 25661.3049506982],\n    [0.00000037203, 0.51733923686, 47623.8527860896],\n    [0.00000030092, 1.79500457353, 37410.5672398786],\n    [0.00000028417, 3.02063623857, 51066.427731055],\n    [0.00000030903, 0.88366672292, 24498.8302462904],\n    [0.00000026105, 2.15021962878, 39609.6545831656],\n    [0.00000018699, 4.96496134509, 11322.6640983044],\n    [0.0000002127, 5.36857147632, 13521.7514415914],\n    [0.00000019422, 4.98378705281, 10213.285546211],\n    [0.00000016941, 3.8876429506, 26617.5941066688],\n    [0.00000015109, 0.44510551618, 46514.4742339962],\n    [0.00000017087, 1.24077744063, 77204.32749453338],\n    [0.0000001394, 1.62574000931, 27147.28507176339],\n    [0.00000013383, 1.07656603755, 51646.11531805379],\n    [0.00000015011, 4.28173416255, 41962.5207369374],\n    [0.00000013977, 4.77056852962, 33326.5787331742],\n    [0.00000012794, 6.06436868672, 1109.3785520934],\n    [0.00000013938, 1.99984923769, 25132.3033999656],\n    [0.00000016297, 2.63293566917, 19804.8272915828],\n    [0.00000011932, 2.36500445252, 4551.9534970588],\n    [0.00000010612, 5.46555459994, 234791.12827416777],\n    [0.00000012754, 2.0761125081, 529.6909650946],\n    [0.00000012068, 2.84997457341, 79373.08797681599],\n    [0.00000009069, 1.21263578152, 14765.2390432698],\n    [0.00000009491, 0.83697019037, 12566.1516999828],\n    [0.0000000938, 5.41195321678, 83925.04147387479],\n    [0.00000007499, 2.44636675464, 30639.856638633],\n    [0.00000007463, 5.53233826081, 32858.61374281979],\n    [0.00000007216, 1.17101761775, 16983.9961474566],\n    [0.00000008492, 3.56622963752, 73711.75592766379],\n    [0.00000007109, 5.32625250539, 426.598190876],\n    [0.00000006862, 1.82314316379, 36301.18868778519],\n    [0.00000006561, 4.27817269714, 43071.8992890308],\n    [0.00000008853, 3.87737929181, 50586.73338786459],\n    [0.00000006885, 5.31108684461, 1589.0728952838],\n    [0.00000005943, 4.06893169924, 53131.406024757],\n    [0.00000007653, 3.91505034455, 51749.20809227239],\n    [0.0000000646, 6.0712744861, 77154.33087262919],\n    [0.00000005415, 5.20028106936, 65697.55772473979],\n    [0.00000005185, 3.56743230013, 6283.0758499914],\n    [0.00000004091, 3.67594128543, 22645.32819660879],\n    [0.00000004075, 4.29142103675, 103292.23063610759],\n    [0.00000004429, 5.69109395363, 45892.73043315699],\n    [0.00000003426, 0.64910747902, 52705.49724824299],\n    [0.00000003353, 3.49344693925, 72602.37737557039],\n    [0.0000000412, 1.65386304528, 25448.00585526019],\n    [0.00000003261, 1.03196144437, 68050.42387851159],\n    [0.00000003278, 3.13863996522, 25874.6040461362],\n    [0.00000003054, 4.12577608597, 77734.01845962799],\n    [0.00000003614, 2.95861574665, 28306.66024576099],\n    [0.00000002819, 4.62629009218, 18849.2275499742],\n    [0.00000002746, 4.6788057805, 53235.18821333759],\n    [0.00000002713, 3.56874904332, 26068.2333806744],\n    [0.00000002507, 2.23312082053, 260879.03141574195],\n    [0.00000003044, 5.90613444962, 105460.99111839019],\n    [0.00000002755, 5.67587076777, 26107.57290247399],\n    [0.00000002267, 2.17941292895, 110012.94461544899],\n    [0.00000002274, 0.50174174314, 32370.9789915656],\n    [0.00000002742, 4.75428269919, 63498.47038145279],\n    [0.00000002792, 5.05148755419, 51220.20654153979],\n    [0.00000002557, 2.95114104952, 26080.78959457339],\n    [0.00000002134, 0.84627422908, 76674.63652943878],\n    [0.00000001971, 0.47406458592, 48733.23133818299],\n    [0.00000001965, 1.37420609579, 7238.6755916],\n    [0.00000002527, 0.3453175267, 23969.1392811958],\n    [0.00000002022, 0.33828427611, 99799.65906923798],\n    [0.00000001871, 3.93046887107, 38654.05484155699],\n    [0.00000001873, 0.69327419506, 26091.7844769322],\n    [0.00000001945, 2.3738400031, 6770.7106012456],\n    [0.00000001863, 2.26591746342, 26084.0218062162],\n    [0.00000001751, 5.50651542385, 56727.7597802072],\n    [0.00000001971, 3.77456264986, 19317.1925403286],\n    [0.00000001672, 2.15275736737, 26514.5013324502],\n    [0.00000001703, 4.28966171001, 40853.142184844],\n    [0.00000001657, 4.98018779294, 9103.9069941176],\n    [0.00000002084, 2.1942739348, 26301.2022370122],\n    [0.00000001818, 4.20870875697, 25938.3399444396],\n    [0.0000000178, 0.91702886288, 79219.30916633119],\n    [0.00000001525, 2.15720853496, 27676.976036858],\n    [0.00000001533, 1.54508616302, 955.5997416086],\n    [0.00000001614, 1.27565064366, 25035.6347583858],\n    [0.00000001743, 0.68269075458, 77837.11123384659],\n    [0.00000001389, 4.85102187945, 62389.09182935939],\n    [0.00000001436, 0.05742724582, 23869.1460373874],\n    [0.00000001563, 5.84795328174, 26095.016688575],\n    [0.0000000164, 4.66281344802, 25021.4076643842],\n    [0.00000001552, 2.83910652908, 103242.23401420339],\n    [0.00000001249, 1.97225258222, 91785.46086631398],\n    [0.0000000116, 1.73111584811, 38519.945791972],\n    [0.00000001005, 1.0589829887, 129380.13377768178],\n    [0.00000001041, 2.7803460628, 213.299095438],\n    [0.00000001105, 4.55512255263, 26011.6370702986],\n    [0.00000000979, 2.43870368161, 71980.63357473118],\n    [0.00000000853, 0.56324665532, 20760.4270331914],\n    [0.00000000874, 4.53679289793, 639.897286314],\n    [0.00000000783, 3.69765164671, 78793.40038981718],\n    [0.00000000772, 4.08714779937, 94138.32702008578],\n    [0.00000000797, 0.26237404367, 98690.28051714458],\n    [0.00000000965, 4.70783027902, 51535.90899683439],\n    [0.00000000952, 2.53602802805, 29530.4780865396],\n    [0.00000000773, 2.67894491727, 131548.89425996438],\n    [0.00000000734, 0.89231112796, 103821.92160120218],\n    [0.00000000668, 3.73107901174, 46848.3301747656],\n    [0.00000000828, 2.88184295232, 19406.6782881746],\n    [0.00000000622, 1.05579834092, 59414.4818747484],\n    [0.00000000676, 4.50351834122, 25934.1243310894],\n    [0.00000000602, 5.2839897868, 286966.93455731616],\n    [0.00000000619, 1.44855125892, 79323.09135491178],\n    [0.00000000692, 6.19755283456, 51962.5071877104],\n    [0.00000000563, 5.22994157011, 136100.84775702319],\n    [0.00000000782, 3.2525581452, 50057.04242277],\n    [0.00000000551, 0.33643935436, 52156.1365222486],\n    [0.00000000705, 4.73700316767, 26241.681952059],\n    [0.00000000577, 5.85652683859, 2118.7638603784],\n    [0.00000000517, 3.9320422628, 102762.53967101299],\n    [0.00000000635, 4.87720835087, 12432.0426503978],\n    [0.00000000635, 1.81903768364, 77308.10968311399],\n    [0.00000000543, 1.40877750421, 44937.1306915484],\n    [0.00000000557, 5.44313297566, 85034.42002596818],\n    [0.00000000497, 3.3900024624, 125887.56221081219],\n    [0.00000000546, 4.7799315562, 22747.2907148744],\n    [0.0000000052, 6.00160827202, 52168.69273614759],\n    [0.00000000463, 3.67555016973, 25668.418497699],\n    [0.00000000452, 3.53009642496, 58458.88213313979],\n    [0.00000000474, 5.94337109404, 54394.56338733519],\n    [0.00000000559, 2.44355298288, 52195.47604404819],\n    [0.00000000418, 3.73372056542, 103925.01437542078],\n    [0.00000000397, 0.69015519657, 64741.95798313119],\n    [0.00000000511, 5.88239871682, 45494.58142974879],\n    [0.00000000413, 2.2675482175, 82815.66292178139],\n    [0.00000000425, 5.24513787195, 52389.1053785864],\n    [0.00000000482, 0.98163319354, 25654.19140369739],\n    [0.0000000038, 3.74414053506, 52179.6876185064],\n    [0.00000000359, 5.50961175081, 26555.8681319286],\n    [0.00000000375, 1.97919633246, 149.5631971346],\n    [0.00000000385, 5.88994556216, 129330.13715577759],\n    [0.00000000348, 4.91062953335, 1052.2683831884],\n    [0.00000000418, 4.32915399414, 51123.53789995999],\n    [0.00000000425, 1.43228900858, 51109.31080595839],\n    [0.00000000464, 3.98651795995, 105307.21230790539],\n    [0.00000000328, 5.20638855699, 52602.4044740244],\n    [0.00000000354, 1.04382219765, 66941.04532641819],\n    [0.00000000324, 1.6297255389, 88476.99497093359],\n    [0.00000000378, 5.31677687871, 52171.9249477904],\n    [0.0000000044, 1.46388471692, 89586.37352302698],\n    [0.00000000355, 1.52732345644, 1066.49547719],\n    [0.00000000302, 5.21118830274, 53764.8791784322],\n    [0.00000000301, 5.02488469326, 117873.36400788819],\n    [0.00000000351, 2.00433655367, 24395.7374720718],\n    [0.00000000289, 6.19161795579, 26094.53170047421],\n    [0.00000000286, 3.77109546265, 7.1135470008],\n    [0.00000000283, 3.10942945865, 49957.0491789616],\n    [0.00000000385, 2.47186185031, 25234.70675982219],\n    [0.00000000382, 0.97683948367, 52026.2430860138],\n    [0.00000000271, 5.74773027334, 25455.119402261],\n    [0.00000000268, 2.86400819938, 80482.46652890938],\n    [0.00000000375, 0.55193410863, 45405.0956819028],\n    [0.00000000305, 6.00195610387, 2218.7571041868],\n    [0.00000000259, 1.82926086584, 24505.94379329119],\n    [0.00000000251, 4.10979366326, 155468.03691925599],\n    [0.00000000289, 3.05374038036, 26081.27458267419],\n    [0.00000000242, 5.05513759189, 42153.969003049],\n    [0.00000000244, 2.15545293562, 3442.5749449654],\n    [0.00000000315, 2.61615796784, 52182.9198301492],\n    [0.00000000256, 3.71118385343, 25619.9381512198],\n    [0.00000000232, 2.21574125599, 16066.0658614748],\n    [0.00000000233, 5.49032532532, 98068.53671630539],\n    [0.00000000236, 4.08613786149, 26013.1215430069],\n    [0.00000000225, 0.44436388903, 76144.94556434419],\n    [0.00000000242, 3.29840670592, 6681.2248533996],\n    [0.00000000227, 1.6324118325, 76.2660712756],\n    [0.00000000268, 1.09036981144, 18093.37469954999],\n    [0.00000000255, 4.20620893175, 44181.27784112419],\n    [0.00000000205, 1.00335777675, 26190.99591579279],\n    [0.00000000228, 1.46077026379, 77623.81213840858],\n    [0.00000000198, 1.36691766564, 26727.8004278882],\n    [0.00000000259, 1.28277618444, 13655.8604911764],\n    [0.00000000196, 5.73310610578, 157636.79740153858],\n    [0.00000000196, 0.0660256375, 40565.2543247742],\n    [0.00000000187, 0.86191776388, 120226.23016165999],\n    [0.00000000262, 4.14849890829, 24491.71669928959],\n    [0.00000000244, 4.14398143655, 95247.70557217918],\n    [0.00000000232, 5.4514220448, 33967.99229491319],\n    [0.00000000206, 5.59194625667, 55618.3812281138],\n    [0.00000000203, 1.6421286418, 58946.51688439399],\n    [0.00000000188, 0.46231923609, 104881.30353139139],\n    [0.00000000192, 1.82885117119, 25551.09862947879],\n    [0.000000002, 1.81390254289, 25863.55834587229],\n    [0.00000000191, 5.57416790284, 5327.4761083828],\n    [0.00000000195, 3.31299278224, 124778.18365871879],\n    [0.00000000169, 1.69377804998, 90695.75207512038],\n    [0.00000000226, 1.32358533633, 52099.5402118728],\n    [0.00000000177, 3.29597559078, 25131.61398560359],\n    [0.00000000178, 2.54736101162, 26720.68688088739],\n    [0.00000000167, 3.61985108387, 23754.70674870219],\n    [0.00000000159, 3.48407918441, 25977.69682035479],\n    [0.0000000018, 3.94244458655, 129909.82474277639],\n    [0.0000000015, 5.20173167043, 69159.80243060499],\n    [0.00000000166, 0.40324154213, 100909.03762133139],\n    [0.00000000175, 2.97505263315, 24925.4284371664],\n    [0.00000000154, 1.27150748229, 25984.8103673556],\n    [0.00000000144, 1.89329933647, 64607.84893354619],\n    [0.00000000145, 2.05406539484, 313054.83769889036],\n    [0.00000000152, 4.87194855231, 103396.01282468818],\n    [0.00000000137, 3.86916799978, 24609.0365675098],\n    [0.00000000141, 1.99766374692, 162188.75089859738],\n    [0.00000000184, 6.09994107476, 23439.44831610119],\n    [0.00000000135, 1.27330433084, 52022.0274726636],\n    [0.00000000127, 0.70493065203, 128850.44281258718],\n    [0.00000000142, 1.50690527956, 52329.58509363319],\n    [0.00000000126, 2.70570221163, 28206.6670019526],\n    [0.00000000123, 0.15653071499, 151975.46535238638],\n    [0.00000000126, 1.61974134336, 48835.19385644859],\n    [0.00000000137, 1.77314956898, 35191.8101356918],\n    [0.00000000147, 4.5031207866, 105410.99449648599],\n    [0.00000000125, 3.38986540694, 78244.0396638228],\n    [0.00000000119, 2.77647833951, 78256.59587772179],\n    [0.00000000156, 2.96636712768, 78050.41032928458],\n    [0.00000000145, 1.35549047802, 3340.6124266998],\n    [0.00000000126, 3.97012413964, 29428.515568274],\n    [0.00000000128, 5.41920055502, 26162.6847401415],\n    [0.0000000011, 3.87981560343, 85502.38501632259],\n    [0.00000000127, 5.49693348651, 78283.37918562238],\n    [0.00000000132, 4.86941737016, 24712.1293417284],\n    [0.00000000126, 0.94880137, 121335.60871375339],\n    [0.00000000129, 4.00700268674, 72936.23331633979],\n    [0.00000000102, 0.50512246193, 130012.91751699499],\n    [0.00000000104, 0.29867566906, 84546.78527471398],\n    [0.00000000118, 0.76546423413, 131395.11544947959],\n    [0.0000000012, 4.45274824615, 71025.03383312259],\n    [0.00000000117, 3.31815509821, 25771.5112719176],\n    [0.0000000011, 2.63255540457, 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[0.00000000002, 0.73324052336, 25757.28417791599],\n    [0.00000000002, 6.16225556919, 49.9966219042],\n    [0.00000000002, 6.04230640954, 78115.63070029629],\n    [0.00000000002, 2.01671299774, 46564.4708559004],\n    [0.00000000002, 2.52858429504, 26140.99929388859],\n    [0.00000000002, 4.60594242656, 52336.2136525332],\n    [0.00000000002, 4.0753148716, 51734.98099827079],\n    [0.00000000002, 5.76630255453, 78373.91574594198],\n    [0.00000000002, 0.16910812024, 25462.2329492618],\n    [0.00000000002, 0.29867787782, 107692.22499299659],\n    [0.00000000002, 0.08977124652, 25135.8265183146],\n    [0.00000000002, 6.02059582335, 164721.69418265378],\n    [0.00000000002, 2.48908964809, 13705.8571130806],\n    [0.00000000002, 3.07002924674, 23432.33476910039],\n    [0.00000000002, 3.46681243572, 154408.65498906678],\n    [0.00000000002, 0.05687800902, 26034.8069892598],\n    [0.00000000002, 0.04904063753, 229463.65216578495],\n    [0.00000000002, 4.28354458896, 24484.60315228879],\n    [0.00000000002, 1.75454322097, 78697.42116259939],\n    [0.00000000002, 4.02876141227, 26238.95081141709],\n    [0.00000000002, 3.24222429199, 21509.65132471559],\n    [0.00000000002, 1.81543335689, 87648.55043279778],\n    [0.00000000002, 2.07300031744, 53654.67285721279],\n    [0.00000000002, 2.52315832958, 210614.42461581076],\n    [0.00000000002, 2.32677216347, 54862.5283776896],\n    [0.00000000002, 3.03967372772, 104771.09721017198],\n    [0.00000000002, 5.0702262377, 78112.66175487968],\n    [0.00000000002, 1.10376435729, 50912.6489205702],\n    [0.00000000002, 3.46489468484, 78905.12298646157],\n    [0.00000000002, 0.67835568542, 235746.72801577636],\n    [0.00000000002, 3.79260774499, 3308.4658953804],\n    [0.00000000002, 5.85661754245, 2974.609954611],\n    [0.00000000002, 2.25512645553, 77929.85348395319],\n    [0.00000000002, 5.18613735503, 50600.9604818662],\n    [0.00000000002, 2.56189724502, 76064.62208143558],\n    [0.00000000002, 4.05996888958, 24502.76239955349],\n    [0.00000000002, 5.5387703997, 51040.1294112552],\n    [0.00000000002, 0.76026031493, 1802.3719907218],\n    [0.00000000002, 4.62411854151, 247223.17092456557],\n    [0.00000000002, 0.05336994875, 146505.58156934578],\n    [0.00000000002, 5.61214825198, 34082.4315835984],\n    [0.00000000001, 5.70524522839, 52072.0240945678],\n    [0.00000000001, 5.47105937931, 50690.51557644519],\n    [0.00000000002, 1.73035919617, 99979.73619952259],\n    [0.00000000002, 5.62955025847, 21819.80896338059],\n    [0.00000000001, 5.12943475162, 23704.71012679799],\n    [0.00000000001, 3.55982710637, 209658.82487420218],\n    [0.00000000002, 0.1124953909, 38469.94917006779],\n    [0.00000000002, 4.348230976, 148532.89040742096],\n    [0.00000000002, 4.7038211131, 50490.75416064679],\n    [0.00000000001, 2.70277319349, 78249.48233072099],\n    [0.00000000002, 0.62470424533, 51745.27593900929],\n    [0.00000000002, 2.5007782763, 179966.86716554638],\n    [0.00000000001, 4.52201346507, 98575.84122845937],\n    [0.00000000002, 6.07032776125, 74935.57376844239],\n    [0.00000000001, 3.751226119, 76352.50994150538],\n    [0.00000000002, 5.33836077527, 106684.80895916879],\n    [0.00000000001, 0.71806518278, 28928.40404660019],\n];\n\nconst VSOP87_R1: Vsop87Element = [\n    [0.0021734774, 4.65617158665, 26087.9031415742],\n    [0.00044141826, 1.42385544001, 52175.8062831484],\n    [0.00010094479, 4.47466326327, 78263.70942472259],\n    [0.00002432805, 1.24226083323, 104351.61256629678],\n    [0.00001624367],\n    [0.00000603996, 4.29303116468, 130439.51570787099],\n    [0.00000152851, 1.06060778072, 156527.41884944518],\n    [0.00000039202, 4.11136733071, 182615.32199101939],\n    [0.0000001776, 4.54424729034, 27197.2816936676],\n    [0.00000017999, 4.71193597233, 24978.5245894808],\n    [0.00000010154, 0.87893540982, 208703.22513259358],\n    [0.00000008086, 3.00540629863, 25028.521211385],\n    [0.00000004444, 2.13638817844, 20426.571092422],\n    [0.00000004393, 1.48073536997, 51066.427731055],\n    [0.0000000351, 3.21169312709, 1059.3819301892],\n    [0.00000003133, 5.23846816226, 21535.9496445154],\n    [0.0000000265, 3.92968869319, 234791.12827416777],\n    [0.00000002498, 2.02627371234, 24498.8302462904],\n    [0.00000002011, 1.23910805857, 53285.1848352418],\n    [0.00000001963, 4.04525058702, 5661.3320491522],\n    [0.00000001546, 2.61850768654, 26617.5941066688],\n    [0.00000001542, 2.35662446357, 27043.5028831828],\n    [0.00000001418, 1.37877634525, 1109.3785520934],\n    [0.00000001295, 5.19094994605, 46514.4742339962],\n    [0.00000001241, 0.21244114624, 11322.6640983044],\n    [0.0000000109, 6.23729220424, 27147.28507176339],\n    [0.00000001271, 0.56438178969, 25132.3033999656],\n    [0.0000000112, 0.8637258292, 57837.1383323006],\n    [0.00000001005, 3.28270573299, 37410.5672398786],\n    [0.00000001177, 4.53194587462, 77154.33087262919],\n    [0.00000000841, 5.96255043354, 14765.2390432698],\n    [0.00000000935, 2.3727729384, 25661.3049506982],\n    [0.00000000743, 0.77744171599, 32858.61374281979],\n    [0.00000000736, 4.06886325615, 1589.0728952838],\n    [0.00000000713, 2.70877599555, 16983.9961474566],\n    [0.00000000863, 5.55319075962, 25558.2121764796],\n    [0.00000000707, 0.92994379913, 30639.856638633],\n    [0.00000000696, 0.6973460978, 260879.03141574195],\n    [0.00000000678, 2.02192026554, 26068.2333806744],\n    [0.00000000608, 0.85717026702, 4551.9534970588],\n    [0.00000000545, 5.38146993956, 26091.7844769322],\n    [0.00000000608, 3.65993695204, 25448.00585526019],\n    [0.00000000597, 4.64866860427, 26080.78959457339],\n    [0.00000000572, 3.50127448259, 10213.285546211],\n    [0.00000000515, 4.83661700395, 50586.73338786459],\n    [0.00000000532, 5.21858845471, 22645.32819660879],\n    [0.00000000572, 0.62744603883, 13521.7514415914],\n    [0.00000000517, 3.89429240358, 83925.04147387479],\n    [0.00000000507, 5.55468086446, 12566.1516999828],\n    [0.00000000606, 4.50209900884, 28306.66024576099],\n    [0.00000000533, 0.93585445428, 26107.57290247399],\n    [0.00000000435, 5.79040236288, 43071.8992890308],\n    [0.00000000436, 5.86661030748, 25035.6347583858],\n    [0.00000000429, 0.26257002232, 36301.18868778519],\n    [0.00000000472, 6.0051200608, 77204.32749453338],\n    [0.00000000443, 3.86746180481, 26084.0218062162],\n    [0.00000000487, 4.23944310239, 26095.016688575],\n    [0.00000000406, 5.60324675895, 52705.49724824299],\n    [0.00000000524, 0.06435802551, 25021.4076643842],\n    [0.00000000379, 1.95636892131, 72602.37737557039],\n    [0.0000000039, 3.81996113063, 426.598190876],\n    [0.00000000418, 2.77521264952, 41962.5207369374],\n    [0.00000000453, 0.72806552601, 529.6909650946],\n    [0.00000000358, 6.00165773999, 33326.5787331742],\n    [0.00000000347, 1.39489736517, 23969.1392811958],\n    [0.0000000034, 0.24130963838, 26301.2022370122],\n    [0.00000000325, 4.78755454456, 23869.1460373874],\n    [0.0000000029, 3.04040767889, 53235.18821333759],\n    [0.00000000326, 1.30032135752, 103242.23401420339],\n    [0.00000000316, 2.22800622388, 19317.1925403286],\n    [0.00000000264, 3.93162118303, 6770.7106012456],\n    [0.00000000332, 3.59225598431, 51220.20654153979],\n    [0.00000000223, 2.76527165172, 103292.23063610759],\n    [0.00000000215, 3.98001918299, 56727.7597802072],\n    [0.00000000235, 2.24084854536, 25874.6040461362],\n    [0.00000000215, 6.16644528217, 51646.11531805379],\n    [0.00000000208, 2.74550745517, 40853.142184844],\n    [0.00000000204, 3.44662595112, 9103.9069941176],\n    [0.00000000197, 0.80045639402, 27676.976036858],\n    [0.00000000196, 1.99906300504, 48733.23133818299],\n    [0.00000000205, 3.20834398876, 18849.2275499742],\n    [0.00000000218, 2.11855599471, 73711.75592766379],\n    [0.00000000189, 0.65683523675, 110012.94461544899],\n    [0.00000000207, 5.89089887294, 31749.2351907264],\n    [0.00000000184, 3.74833520338, 286966.93455731616],\n    [0.00000000174, 5.8126132215, 68050.42387851159],\n    [0.00000000163, 4.00374821064, 79373.08797681599],\n    [0.00000000152, 5.07392487296, 52156.1365222486],\n    [0.00000000151, 2.83396005215, 955.5997416086],\n    [0.00000000151, 0.40937127334, 26514.5013324502],\n    [0.00000000147, 2.32188363628, 38654.05484155699],\n    [0.00000000154, 3.26432452388, 38519.945791972],\n    [0.00000000185, 0.98990596875, 29530.4780865396],\n    [0.0000000015, 3.69227943541, 65697.55772473979],\n    [0.00000000132, 2.71821268672, 77734.01845962799],\n    [0.0000000014, 2.05758999121, 6283.0758499914],\n    [0.00000000122, 3.31360115889, 62389.09182935939],\n    [0.00000000123, 2.0794046779, 25668.418497699],\n    [0.00000000118, 0.51915032422, 51535.90899683439],\n    [0.0000000012, 2.15439400962, 52179.6876185064],\n    [0.00000000152, 2.66001905502, 25654.19140369739],\n    [0.00000000113, 2.33266633795, 78793.40038981718],\n    [0.00000000124, 3.13057843195, 51109.31080595839],\n    [0.0000000015, 2.60372699526, 639.897286314],\n    [0.00000000124, 2.65134648993, 51123.53789995999],\n    [0.00000000106, 1.3144408878, 47623.8527860896],\n    [0.00000000112, 5.00800079212, 98690.28051714458],\n    [0.00000000107, 5.12874134815, 99799.65906923798],\n    [0.00000000123, 6.13777841633, 1066.49547719],\n    [0.00000000106, 1.42968371953, 52168.69273614759],\n    [0.00000000104, 4.51535298285, 25234.70675982219],\n    [0.0000000012, 4.0657546826, 45892.73043315699],\n    [0.00000000093, 4.72793717538, 2118.7638603784],\n    [0.00000000112, 4.78989437046, 53131.406024757],\n    [0.00000000096, 5.03480533398, 32370.9789915656],\n    [0.00000000091, 4.22087947367, 50057.04242277],\n    [0.00000000107, 0.14589408309, 12432.0426503978],\n    [0.00000000091, 4.35426331615, 129330.13715577759],\n    [0.00000000084, 0.32895187929, 1052.2683831884],\n    [0.00000000084, 5.81466213086, 129380.13377768178],\n    [0.00000000092, 0.34545636827, 77308.10968311399],\n    [0.00000000078, 1.17740935265, 76674.63652943878],\n    [0.00000000107, 1.01247025157, 52182.9198301492],\n    [0.00000000082, 6.11430864932, 79323.09135491178],\n    [0.00000000086, 2.50452244748, 7238.6755916],\n    [0.00000000072, 1.56149801558, 49957.0491789616],\n    [0.00000000076, 1.62516369719, 15874.6175953632],\n    [0.0000000009, 5.75449025797, 24491.71669928959],\n    [0.00000000092, 3.97742380655, 52195.47604404819],\n    [0.00000000068, 0.44537901082, 91785.46086631398],\n    [0.00000000078, 0.63568556169, 52171.9249477904],\n    [0.00000000064, 2.57343416459, 94138.32702008578],\n    [0.00000000065, 2.12923498203, 7.1135470008],\n    [0.00000000062, 3.70758538046, 136100.84775702319],\n    [0.00000000068, 1.18992116627, 54394.56338733519],\n    [0.00000000079, 3.35587970544, 52389.1053785864],\n    [0.0000000006, 6.26094287016, 24505.94379329119],\n    [0.00000000065, 5.09697559988, 51962.5071877104],\n    [0.00000000061, 0.7386364712, 82815.66292178139],\n    [0.00000000063, 1.29903752227, 2218.7571041868],\n    [0.0000000007, 5.28679522332, 45405.0956819028],\n    [0.00000000054, 0.89790115044, 71980.63357473118],\n    [0.00000000057, 1.92411310638, 20760.4270331914],\n    [0.00000000051, 4.71610129635, 105460.99111839019],\n    [0.00000000054, 6.22074076941, 44937.1306915484],\n    [0.00000000052, 3.43154581427, 25551.09862947879],\n    [0.00000000052, 5.77926746609, 66941.04532641819],\n    [0.00000000048, 0.51820543805, 313054.83769889036],\n    [0.00000000052, 5.71872770622, 103821.92160120218],\n    [0.00000000047, 3.82177422106, 53764.8791784322],\n    [0.0000000005, 5.75583590982, 25938.3399444396],\n    [0.00000000047, 5.527762227, 77837.11123384659],\n    [0.00000000043, 5.84980653694, 63498.47038145279],\n    [0.00000000052, 2.63480617664, 18093.37469954999],\n    [0.00000000042, 5.39170998784, 64741.95798313119],\n    [0.00000000041, 1.87436617947, 125887.56221081219],\n    [0.00000000045, 4.04573573351, 55618.3812281138],\n    [0.00000000039, 3.50885173288, 52602.4044740244],\n    [0.00000000051, 6.02412463531, 13655.8604911764],\n    [0.00000000048, 0.72398672501, 33967.99229491319],\n    [0.00000000038, 0.09228296016, 88476.99497093359],\n    [0.00000000038, 1.84192926335, 78244.0396638228],\n    [0.00000000041, 5.74762731223, 26727.8004278882],\n    [0.00000000045, 5.73856748504, 44181.27784112419],\n    [0.00000000038, 5.1773164872, 23754.70674870219],\n    [0.00000000035, 0.81850559713, 23439.44831610119],\n    [0.00000000036, 4.81776409496, 51116.4243529592],\n    [0.00000000041, 2.91924856282, 26241.681952059],\n    [0.00000000032, 1.91980495251, 58458.88213313979],\n    [0.00000000033, 1.27537006504, 131548.89425996438],\n    [0.00000000031, 5.02484981561, 46848.3301747656],\n    [0.0000000003, 3.95195102074, 26555.8681319286],\n    [0.00000000031, 1.17956097833, 59414.4818747484],\n    [0.0000000003, 0.55660013087, 3442.5749449654],\n    [0.00000000033, 5.35914498696, 104881.30353139139],\n    [0.00000000034, 3.55545989401, 433.7117378768],\n    [0.0000000003, 1.25027037776, 26202.34243025941],\n    [0.00000000029, 2.98819043245, 27154.3986187642],\n    [0.00000000035, 3.23315937408, 25455.119402261],\n    [0.00000000033, 3.55107682453, 25440.89230825939],\n    [0.00000000028, 4.36009500774, 80482.46652890938],\n    [0.00000000033, 1.77301132586, 124778.18365871879],\n    [0.00000000029, 0.03485368228, 79219.30916633119],\n    [0.0000000003, 5.14824322621, 51756.3216392732],\n    [0.00000000027, 2.59987755832, 155468.03691925599],\n    [0.00000000027, 1.05618361621, 28421.0995344462],\n    [0.0000000003, 5.72049964303, 51742.09454527159],\n    [0.00000000029, 5.20497301981, 78267.59076008058],\n    [0.0000000003, 6.10164768471, 26011.6370702986],\n    [0.00000000026, 1.11277156957, 155418.04029735178],\n    [0.00000000027, 3.38581716378, 103396.01282468818],\n    [0.00000000025, 3.48854332661, 117873.36400788819],\n    [0.00000000026, 6.19594686594, 77197.21394753258],\n    [0.00000000025, 1.70207039258, 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   [0.00000000002, 5.13033023401, 26823.77965510599],\n    [0.00000000002, 4.43860191568, 25450.90686955],\n    [0.00000000002, 5.79358770849, 181026.24909573558],\n    [0.00000000002, 2.21653310659, 26402.0893214438],\n    [0.00000000002, 4.78156121936, 51859.41441349179],\n    [0.00000000002, 2.34758825112, 78109.93061423779],\n    [0.00000000002, 3.31605319473, 52609.51802102519],\n    [0.00000000002, 3.95441673698, 52808.59002246159],\n    [0.00000000002, 2.72617137486, 123200.84011627098],\n    [0.00000000002, 3.7853998732, 52381.99183158559],\n    [0.00000000002, 1.51043652717, 78149.27013603736],\n    [0.00000000002, 2.79844678677, 167850.08294774959],\n    [0.00000000002, 1.04172617563, 52492.19815280499],\n    [0.00000000003, 2.56160742762, 154938.34595416138],\n    [0.00000000002, 4.64184952554, 60370.08161635699],\n    [0.00000000002, 1.36020518792, 3328.13565628019],\n    [0.00000000002, 1.24306133807, 58857.03113654799],\n    [0.00000000002, 0.61134558822, 128320.75184749259],\n    [0.00000000002, 3.66766587868, 51852.30086649099],\n    [0.00000000003, 3.6064304556, 52225.8029050526],\n    [0.00000000002, 3.83820356329, 16703.062133499],\n    [0.00000000002, 6.27055581751, 130866.11389874699],\n    [0.00000000002, 1.60943083243, 53029.0026649004],\n    [0.00000000002, 0.7491000083, 26667.590728573],\n    [0.00000000002, 1.22999905791, 103498.41618454478],\n    [0.00000000002, 6.15892249504, 52252.07235442399],\n    [0.00000000002, 5.23865884724, 26729.31670331319],\n    [0.00000000002, 5.92374472867, 78160.61665050399],\n    [0.00000000002, 5.69052913085, 189853.99758261938],\n    [0.00000000002, 3.69732655609, 52309.9153327334],\n    [0.00000000002, 4.0163819369, 51868.2486621788],\n    [0.00000000002, 5.60946469584, 103917.90082841998],\n    [0.00000000002, 2.05507054538, 70383.6202713836],\n    [0.00000000002, 6.01217703537, 94329.77528619739],\n    [0.00000000002, 2.32199957299, 51226.63067417859],\n    [0.00000000002, 2.67908261522, 173511.41499690177],\n    [0.00000000002, 3.62032090461, 6885.14988993081],\n    [0.00000000002, 1.58668212347, 26013.1215430069],\n    [0.00000000002, 1.81879125394, 27177.6119327678],\n    [0.00000000002, 1.81202528574, 25771.5112719176],\n    [0.00000000002, 6.06186683896, 129373.02023068098],\n    [0.00000000002, 5.38601913539, 151199.94274106238],\n    [0.00000000002, 0.20113172923, 25754.0472008048],\n    [0.00000000002, 5.96231230667, 23919.1426592916],\n    [0.00000000002, 5.44340217714, 95247.70557217918],\n    [0.00000000002, 1.68782102934, 27250.37784598199],\n    [0.00000000002, 4.33776532179, 26404.2950112308],\n    [0.00000000002, 1.10098144775, 1223.81784077861],\n    [0.00000000002, 2.87118340279, 137678.19129947099],\n    [0.00000000002, 1.73319857606, 92741.06060792258],\n    [0.00000000002, 3.7258049498, 34082.4315835984],\n    [0.00000000002, 5.77505044086, 25600.26839032],\n    [0.00000000002, 0.26892495924, 53771.99272543299],\n    [0.00000000002, 3.97982464503, 129799.61842155698],\n    [0.00000000002, 0.60185817387, 74.7815985673],\n    [0.00000000002, 3.37711958412, 2221.856634597],\n    [0.00000000002, 3.37390513588, 26575.53789282839],\n    [0.00000000002, 2.81094355112, 118828.96374949679],\n    [0.00000000002, 5.68640078492, 50264.6067999312],\n    [0.00000000002, 4.37218185067, 8194.2753332086],\n    [0.00000000002, 6.09074384651, 2333.196392872],\n    [0.00000000002, 5.21226121395, 52278.89905736699],\n    [0.00000000002, 0.4705749451, 25773.71696170459],\n    [0.00000000002, 1.23732034066, 78257.08086582259],\n    [0.00000000002, 4.51390388591, 37698.4550999484],\n    [0.00000000002, 3.29240007524, 77726.90491262719],\n    [0.00000000002, 5.79437105261, 26312.2479372761],\n    [0.00000000002, 1.11912985777, 51315.49635439559],\n    [0.00000000002, 2.50406010238, 19202.75325164339],\n    [0.00000000002, 1.61719066741, 24079.34560241519],\n    [0.00000000002, 5.00820642202, 182188.72380014337],\n    [0.00000000002, 3.08979268503, 195047.36464141717],\n    [0.00000000002, 2.19163720361, 26395.46076254379],\n    [0.00000000002, 1.93268238025, 26189.8656598398],\n    [0.00000000001, 1.9565150886, 26073.67604757259],\n    [0.00000000002, 1.69360766883, 48847.6706268682],\n    [0.00000000002, 4.77850859259, 136722.59155786238],\n    [0.00000000002, 1.23109092649, 52286.01260436779],\n    [0.00000000002, 1.92969421017, 143005.66740785378],\n    [0.00000000002, 5.31894725019, 23384.2869868986],\n    [0.00000000002, 4.016010581, 189386.03259226495],\n    [0.00000000002, 4.13493316476, 25466.159340735],\n    [0.00000000002, 4.58005710714, 25004.8229092806],\n    [0.00000000001, 4.50232888505, 101703.15774082378],\n    [0.00000000002, 1.99945872949, 17098.43543614181],\n    [0.00000000001, 5.86202636151, 163766.09444104518],\n    [0.00000000002, 4.42951918443, 132658.27281205778],\n    [0.00000000002, 4.91675947523, 24448.8336243862],\n    [0.00000000002, 2.35593686283, 147423.51185532758],\n    [0.00000000002, 4.356248579, 130432.40216087017],\n    [0.00000000001, 4.98789585706, 78800.51393681798],\n    [0.00000000001, 1.09794599902, 55503.94193942859],\n    [0.00000000002, 1.80354488061, 860.3099287528],\n    [0.00000000002, 2.50676380667, 61560.64729122359],\n    [0.00000000002, 0.29051427089, 24356.7807886416],\n    [0.00000000002, 6.11873017537, 87367.61641884019],\n    [0.00000000001, 1.32811901694, 154194.22245657316],\n    [0.00000000002, 1.30375159885, 144916.86689107098],\n    [0.00000000001, 3.51165251141, 26421.7590823436],\n    [0.00000000001, 5.54890134424, 220025.88923089796],\n    [0.00000000001, 4.52193457212, 27170.98337386779],\n    [0.00000000002, 2.16673373766, 103.0927742186],\n    [0.00000000001, 2.97156317234, 846.0828347512],\n    [0.00000000001, 3.56056299689, 78786.28684281638],\n    [0.00000000001, 1.72265685452, 25508.2155545754],\n    [0.00000000002, 1.14700860003, 61165.27398858079],\n    [0.00000000002, 5.40448093264, 1265.5674786264],\n    [0.00000000002, 0.63660432851, 52065.59996192899],\n    [0.00000000001, 5.30775305827, 22625.658435709],\n    [0.00000000002, 2.87848636951, 166740.70439565618],\n    [0.00000000002, 1.64559155822, 75930.51303185058],\n    [0.00000000001, 0.5178240706, 113341.08027172917],\n    [0.00000000001, 0.26594892339, 76571.54375522019],\n    [0.00000000001, 1.68473271541, 28286.9904848612],\n    [0.00000000001, 3.43479665429, 130435.63437251298],\n    [0.00000000001, 4.94766296108, 205260.65018762815],\n    [0.00000000001, 5.6718936459, 122444.98726584678],\n    [0.00000000002, 0.3500357898, 132028.58860315479],\n    [0.00000000001, 3.82950218931, 50910.238804522],\n    [0.00000000001, 0.58719200248, 78896.49316403578],\n    [0.00000000001, 1.40281382564, 467.9649903544],\n    [0.00000000001, 3.70071408896, 116783.65521669458],\n    [0.00000000001, 1.98838052622, 81604.32185142238],\n    [0.00000000001, 5.87508556606, 104275.34649502118],\n    [0.00000000001, 2.06878150381, 78188.92782615528],\n    [0.00000000001, 3.0854322754, 9384.8410080752],\n    [0.00000000001, 3.30520943702, 19.66976089979],\n    [0.00000000001, 2.76310033884, 52812.8025551726],\n    [0.00000000001, 5.76310756779, 1375.7737998458],\n    [0.00000000001, 5.71684807894, 76152.05911134499],\n    [0.00000000001, 3.43817796928, 65717.22748563958],\n    [0.00000000001, 0.85559605439, 25985.94062330859],\n    [0.00000000001, 5.99281135918, 106570.36967048359],\n    [0.00000000001, 1.87029583839, 26411.4085582316],\n    [0.00000000001, 2.97621377443, 91805.13062721379],\n    [0.00000000001, 2.8181949701, 168959.46149984296],\n    [0.00000000001, 6.14145843596, 221135.26778299136],\n    [0.00000000001, 6.19284917502, 103718.82882698359],\n    [0.00000000001, 0.38545603521, 130459.18546877075],\n    [0.00000000001, 5.58283403624, 104197.83375581198],\n    [0.00000000001, 2.74916354771, 170068.84005193636],\n    [0.00000000001, 2.29937985557, 58220.0348645238],\n    [0.00000000001, 0.77298125199, 26102.1302355758],\n    [0.00000000001, 3.82192552665, 25928.601406782],\n    [0.00000000001, 0.48738972037, 104819.57755665119],\n    [0.00000000001, 0.34737694069, 1795.258443721],\n    [0.00000000001, 5.0467220846, 26247.2048763664],\n    [0.00000000001, 4.44724577178, 6044.2285813754],\n    [0.00000000001, 4.31124637329, 50483.640613646],\n    [0.00000000001, 3.69136847395, 77307.42026875199],\n    [0.00000000001, 0.4047421702, 636.9962720242],\n    [0.00000000001, 6.11533644929, 241561.83887541336],\n    [0.00000000001, 0.08760404468, 54879.422437824],\n    [0.00000000001, 1.61849542996, 128106.31931499895],\n    [0.00000000001, 6.2773200613, 196137.07343261078],\n    [0.00000000001, 0.82044479603, 51329.7234483972],\n    [0.00000000001, 0.98691419134, 163298.12945069079],\n    [0.00000000001, 2.30107750853, 179172.74704605396],\n    [0.00000000001, 0.61075768459, 51534.3927214094],\n    [0.00000000001, 0.58942299216, 78469.89497315978],\n    [0.00000000001, 3.29001702156, 79315.97780791098],\n    [0.00000000001, 4.50997601178, 203041.89308344138],\n    [0.00000000001, 1.194006952, 8989.46770543239],\n    [0.00000000001, 2.30283274772, 50380.54783942739],\n    [0.00000000001, 3.04434275932, 78057.52387628538],\n    [0.00000000001, 1.59838533079, 137210.22630911658],\n    [0.00000000001, 6.25852814644, 50800.03248330259],\n    [0.00000000001, 4.59739779893, 156507.74908854539],\n    [0.00000000001, 3.52857712732, 78338.49102328988],\n    [0.00000000001, 3.29578424156, 51841.950342379],\n    [0.00000000001, 4.37115478363, 231348.55332920236],\n    [0.00000000001, 6.21157459837, 199599.31813847595],\n    [0.00000000001, 5.68807537585, 3178.1457905676],\n    [0.00000000001, 6.16099382664, 103814.80805420138],\n    [0.00000000001, 3.5870329979, 106262.81204951399],\n    [0.00000000001, 2.12644283427, 62197.64356324779],\n    [0.00000000001, 3.67624268292, 2703.6161546756],\n    [0.00000000001, 1.94597992024, 45494.58142974879],\n    [0.00000000001, 5.27747039682, 52041.69723356339],\n    [0.00000000001, 2.87032894974, 38634.3850806572],\n    [0.00000000001, 0.2327074545, 138319.60486120995],\n    [0.00000000001, 5.53197596443, 27819.0254945068],\n    [0.00000000001, 5.12208743996, 142871.55835826878],\n    [0.00000000001, 1.39038865276, 112545.88789950538],\n    [0.00000000001, 4.74583618954, 53265.515074342],\n    [0.00000000001, 5.3878612039, 99024.13645791399],\n    [0.00000000001, 0.39696641642, 42790.9652750732],\n    [0.00000000001, 0.71118375221, 52026.2430860138],\n    [0.00000000001, 2.16468187079, 1485.9801210652],\n    [0.00000000001, 5.72787089962, 153084.84390447979],\n    [0.00000000001, 4.66269784654, 54374.8936264354],\n];\n\nconst VSOP87_R2: Vsop87Element = [\n    [0.00003117867, 3.08231840294, 26087.9031415742],\n    [0.00001245397, 6.1518331681, 52175.8062831484],\n    [0.00000424822, 2.92583350003, 78263.70942472259],\n    [0.0000013613, 5.97983927257, 104351.61256629678],\n    [0.00000042176, 2.74936984182, 130439.51570787099],\n    [0.00000021759, Math.PI],\n    [0.00000012794, 5.80143158303, 156527.41884944518],\n    [0.00000003825, 2.56993470104, 182615.32199101939],\n    [0.00000001042, 3.14646747795, 24978.5245894808],\n    [0.00000001131, 5.62140894157, 208703.22513259358],\n    [0.00000000483, 6.14311665486, 27197.2816936676],\n    [0.00000000332, 2.38990569407, 234791.12827416777],\n    [0.0000000032, 6.20678671907, 51066.427731055],\n    [0.0000000012, 0.56753278081, 20426.571092422],\n    [0.00000000113, 3.28087063421, 24498.8302462904],\n    [0.00000000105, 4.36644825356, 25028.521211385],\n    [0.00000000097, 5.44142060651, 260879.03141574195],\n    [0.00000000095, 1.70261963549, 1059.3819301892],\n    [0.00000000103, 2.98025866325, 77154.33087262919],\n    [0.00000000074, 1.28624418497, 26617.5941066688],\n    [0.00000000057, 2.96811822826, 1109.3785520934],\n    [0.00000000066, 5.68227129537, 25132.3033999656],\n    [0.00000000053, 3.63665664342, 46514.4742339962],\n    [0.00000000059, 3.109572212, 27043.5028831828],\n    [0.00000000053, 0.66664633754, 21535.9496445154],\n    [0.00000000043, 4.69265718173, 27147.28507176339],\n    [0.00000000042, 2.77425162061, 1589.0728952838],\n    [0.00000000036, 4.39785847487, 14765.2390432698],\n    [0.00000000035, 1.80414409714, 11322.6640983044],\n    [0.00000000043, 6.07298394731, 28306.66024576099],\n    [0.00000000033, 5.34403985744, 25448.00585526019],\n    [0.00000000031, 5.66726050432, 30639.856638633],\n    [0.00000000031, 2.36583154631, 32858.61374281979],\n    [0.00000000031, 4.27240840519, 16983.9961474566],\n    [0.00000000033, 3.23005237683, 23869.1460373874],\n    [0.00000000031, 0.49978982972, 22645.32819660879],\n    [0.00000000028, 2.21272342124, 286966.93455731616],\n    [0.00000000033, 6.03641747595, 103242.23401420339],\n    [0.00000000025, 4.24265705908, 52705.49724824299],\n    [0.00000000023, 2.59657279752, 23969.1392811958],\n    [0.00000000027, 2.10611676289, 25558.2121764796],\n    [0.00000000021, 0.41168883239, 72602.37737557039],\n    [0.00000000025, 5.69956303861, 5661.3320491522],\n    [0.00000000022, 4.86511394552, 26301.2022370122],\n    [0.00000000024, 0.6632876741, 19317.1925403286],\n    [0.00000000021, 2.30174192487, 51220.20654153979],\n    [0.0000000002, 5.62040366872, 4551.9534970588],\n    [0.00000000018, 0.49330577083, 26068.2333806744],\n    [0.00000000016, 6.08123098154, 50586.73338786459],\n    [0.00000000016, 1.48825706159, 53235.18821333759],\n    [0.00000000017, 2.94317208111, 53285.1848352418],\n    [0.00000000015, 2.39611761878, 83925.04147387479],\n    [0.00000000015, 3.85588323044, 26091.7844769322],\n    [0.00000000014, 4.13824962282, 12566.1516999828],\n    [0.00000000015, 5.5122476133, 6770.7106012456],\n    [0.00000000014, 5.68202466008, 57837.1383323006],\n    [0.00000000014, 5.73541534358, 27676.976036858],\n    [0.00000000016, 5.69568023163, 26107.57290247399],\n    [0.00000000015, 5.72321197499, 29530.4780865396],\n    [0.00000000014, 5.00810046723, 37410.5672398786],\n    [0.00000000012, 1.18950088434, 40853.142184844],\n    [0.00000000013, 2.34556111896, 26084.0218062162],\n    [0.00000000012, 2.43751302567, 56727.7597802072],\n    [0.00000000012, 1.11729686867, 43071.8992890308],\n    [0.00000000012, 4.91255816577, 36301.18868778519],\n    [0.00000000011, 1.87794158603, 9103.9069941176],\n    [0.0000000001, 2.33246324171, 426.598190876],\n    [0.00000000011, 2.79095158447, 129330.13715577759],\n    [0.0000000001, 5.86523749031, 26202.34243025941],\n    [0.00000000009, 0.03195500104, 25234.70675982219],\n    [0.00000000011, 0.9260369508, 639.897286314],\n    [0.0000000001, 3.9442277939, 25661.3049506982],\n    [0.00000000008, 5.42470507867, 110012.94461544899],\n    [0.00000000008, 6.27857478248, 49957.0491789616],\n    [0.00000000008, 3.40746854679, 25973.46385288896],\n    [0.00000000009, 4.83419682076, 38519.945791972],\n    [0.00000000008, 5.64863461479, 53131.406024757],\n    [0.00000000009, 5.74323028796, 51116.4243529592],\n    [0.00000000008, 1.97671803181, 13521.7514415914],\n    [0.00000000008, 3.52143325301, 52156.1365222486],\n    [0.00000000008, 0.94287580197, 78793.40038981718],\n    [0.00000000008, 5.25159704872, 313054.83769889036],\n    [0.00000000007, 3.57055320328, 48733.23133818299],\n    [0.00000000008, 5.33870577078, 51646.11531805379],\n    [0.00000000008, 4.34685532674, 31749.2351907264],\n    [0.0000000001, 5.07112035424, 25874.6040461362],\n    [0.00000000007, 3.44200114221, 26080.78959457339],\n    [0.00000000008, 3.46506333076, 98690.28051714458],\n    [0.00000000007, 5.27632613466, 77308.10968311399],\n    [0.00000000007, 1.97132570364, 10213.285546211],\n    [0.00000000007, 3.47394709299, 2118.7638603784],\n    [0.00000000007, 1.19332181936, 103292.23063610759],\n    [0.00000000007, 0.8822542155, 38654.05484155699],\n    [0.00000000007, 4.28963258668, 955.5997416086],\n    [0.00000000009, 2.12066223909, 18849.2275499742],\n    [0.00000000008, 2.74524992169, 26095.016688575],\n    [0.00000000007, 4.98611088801, 529.6909650946],\n    [0.00000000007, 0.21206642896, 33326.5787331742],\n    [0.00000000006, 1.24554634942, 41962.5207369374],\n    [0.00000000006, 0.58325989516, 52179.6876185064],\n    [0.00000000006, 4.54627482504, 79323.09135491178],\n    [0.00000000006, 1.74421492528, 62389.09182935939],\n    [0.00000000005, 2.14134003331, 51535.90899683439],\n    [0.00000000007, 4.18624565491, 77204.32749453338],\n    [0.00000000006, 4.90636348078, 26514.5013324502],\n    [0.00000000005, 4.28760477114, 68050.42387851159],\n    [0.00000000007, 1.6876820534, 12432.0426503978],\n    [0.00000000006, 1.67734378339, 52389.1053785864],\n    [0.00000000005, 2.621929764, 79373.08797681599],\n    [0.00000000006, 3.7232136248, 45405.0956819028],\n    [0.00000000005, 2.80648643213, 54394.56338733519],\n    [0.00000000004, 6.27711808251, 52168.69273614759],\n    [0.00000000005, 4.49206719344, 13655.8604911764],\n    [0.00000000006, 2.4205424774, 52195.47604404819],\n    [0.00000000005, 5.36726437404, 52171.9249477904],\n    [0.00000000004, 2.39080386734, 53764.8791784322],\n    [0.00000000004, 5.45239063221, 82815.66292178139],\n    [0.00000000004, 2.45845698665, 55618.3812281138],\n    [0.00000000004, 5.46064307091, 50057.04242277],\n    [0.00000000004, 4.2454377568, 129380.13377768178],\n    [0.00000000004, 2.16475111801, 136100.84775702319],\n    [0.00000000004, 3.27367961735, 7238.6755916],\n    [0.00000000004, 4.23033954187, 66941.04532641819],\n    [0.00000000004, 5.86077781318, 155418.04029735178],\n    [0.00000000004, 2.91823301912, 2218.7571041868],\n    [0.00000000004, 2.22132272424, 33967.99229491319],\n    [0.00000000004, 4.13443053346, 32370.9789915656],\n    [0.00000000004, 0.97401599373, 44181.27784112419],\n    [0.00000000005, 5.73865924281, 52182.9198301492],\n    [0.00000000003, 5.77600031262, 28421.0995344462],\n    [0.00000000003, 3.60566098017, 99799.65906923798],\n    [0.00000000003, 4.89516568247, 47623.8527860896],\n    [0.00000000003, 2.65837542043, 76674.63652943878],\n    [0.00000000004, 3.97575019999, 26727.8004278882],\n    [0.00000000004, 1.58883137896, 77734.01845962799],\n    [0.00000000003, 4.0537792322, 18093.37469954999],\n    [0.00000000003, 0.32164436845, 78244.0396638228],\n    [0.00000000003, 4.55918659193, 1066.49547719],\n    [0.00000000003, 1.04073203752, 94138.32702008578],\n    [0.00000000003, 5.11379070475, 1052.2683831884],\n    [0.00000000004, 0.0028965674, 7.1135470008],\n    [0.00000000003, 6.00211964373, 29416.03879785439],\n    [0.00000000003, 0.83769822705, 73711.75592766379],\n    [0.00000000003, 6.2455872429, 853.196381752],\n    [0.00000000003, 1.04516366216, 51123.53789995999],\n    [0.00000000003, 1.58718103357, 51109.31080595839],\n    [0.00000000003, 1.95786741975, 103396.01282468818],\n    [0.00000000002, 1.84359601235, 52602.4044740244],\n    [0.00000000003, 0.20363902961, 124778.18365871879],\n    [0.00000000003, 3.92029951121, 104881.30353139139],\n    [0.00000000002, 3.86834138575, 64741.95798313119],\n    [0.00000000002, 4.78277672679, 88476.99497093359],\n    [0.00000000002, 3.02197674612, 76044.9523205358],\n    [0.00000000002, 2.56056246046, 51962.5071877104],\n    [0.00000000002, 0.39257053002, 23754.70674870219],\n    [0.00000000002, 1.93806690975, 117873.36400788819],\n    [0.00000000003, 4.94947672066, 44937.1306915484],\n    [0.00000000002, 5.16794137847, 91785.46086631398],\n    [0.00000000002, 3.69784569438, 78267.59076008058],\n    [0.00000000002, 0.12898246901, 28206.6670019526],\n    [0.00000000002, 2.71494330191, 52290.24557183361],\n    [0.00000000002, 1.01643765523, 155468.03691925599],\n    [0.00000000002, 1.94864163639, 7994.5284420242],\n    [0.00000000002, 0.34644075002, 125887.56221081219],\n    [0.00000000002, 2.07439531255, 339142.74084046457],\n    [0.00000000002, 0.47977325476, 74821.13447975718],\n    [0.00000000002, 2.16320557771, 65697.55772473979],\n    [0.00000000002, 5.55432178842, 78283.37918562238],\n    [0.00000000002, 1.29900775156, 105410.99449648599],\n    [0.00000000002, 2.53975890096, 78270.82297172339],\n    [0.00000000002, 3.05127595992, 78256.59587772179],\n    [0.00000000002, 0.74524218739, 18207.81398823521],\n    [0.00000000002, 2.52077863728, 45892.73043315699],\n    [0.00000000002, 4.40145815211, 103821.92160120218],\n    [0.00000000002, 0.48596602676, 71492.99882347698],\n    [0.00000000002, 5.20647406504, 162188.75089859738],\n    [0.00000000002, 4.82705668292, 35191.8101356918],\n    [0.00000000002, 2.53400006045, 181505.94343892598],\n    [0.00000000002, 5.01222373888, 3442.5749449654],\n    [0.00000000002, 4.77472325123, 78477.00852016058],\n    [0.00000000002, 4.04794032959, 120226.23016165999],\n    [0.00000000002, 4.91210946644, 129483.91596626239],\n    [0.00000000002, 4.13616693949, 77211.44104153418],\n    [0.00000000002, 5.55063812006, 71980.63357473118],\n    [0.00000000002, 1.87550379173, 23439.44831610119],\n    [0.00000000002, 4.79089230864, 15874.6175953632],\n    [0.00000000002, 4.07209162893, 77837.11123384659],\n    [0.00000000002, 3.28278777867, 51322.60990139639],\n    [0.00000000001, 3.34910054328, 151975.46535238638],\n    [0.00000000001, 2.46216864998, 98068.53671630539],\n    [0.00000000002, 2.5524527794, 39609.6545831656],\n    [0.00000000002, 2.20615341805, 78259.82808936459],\n    [0.00000000001, 1.85625086925, 27140.17152476259],\n    [0.00000000001, 4.90356608602, 78690.30761559859],\n    [0.00000000002, 2.05592477737, 433.7117378768],\n    [0.00000000001, 0.57135579166, 58458.88213313979],\n    [0.00000000001, 6.02187954635, 102132.85546210999],\n    [0.00000000002, 3.23303486183, 150866.08680029298],\n    [0.00000000001, 4.60285163809, 77197.21394753258],\n    [0.00000000001, 3.29652393557, 104331.94280539699],\n    [0.00000000002, 0.37358476984, 52061.36699446317],\n    [0.00000000002, 6.05813345839, 78050.41032928458],\n    [0.00000000001, 5.03719934254, 105460.99111839019],\n    [0.00000000001, 5.61325235757, 81706.28436968799],\n    [0.00000000001, 4.16559096091, 51742.09454527159],\n    [0.00000000001, 2.18291711529, 104371.28232719658],\n    [0.00000000001, 1.56268200733, 114564.89811250778],\n    [0.00000000001, 2.9780193791, 26941.0995233262],\n    [0.00000000002, 0.60670302239, 130969.20667296558],\n    [0.00000000001, 1.28661284202, 27154.3986187642],\n    [0.00000000001, 0.32656599185, 6283.0758499914],\n    [0.00000000002, 0.98900298585, 129909.82474277639],\n    [0.00000000002, 0.34266376084, 104355.49390165479],\n    [0.00000000001, 1.70449480453, 71025.03383312259],\n    [0.00000000001, 0.69109808707, 103925.01437542078],\n    [0.00000000001, 5.99111938887, 104344.49901929598],\n    [0.00000000001, 1.29444105614, 26241.681952059],\n    [0.00000000001, 1.52348055432, 104564.91166173479],\n    [0.00000000001, 1.02840142284, 93028.94846799239],\n    [0.00000000001, 2.70610275891, 59414.4818747484],\n    [0.00000000001, 3.38720596578, 24864.08530079559],\n    [0.00000000001, 4.01905758539, 181555.94006083018],\n    [0.00000000001, 0.19437065391, 131548.89425996438],\n    [0.00000000001, 2.33926236379, 108903.56606335558],\n    [0.00000000001, 3.48554697151, 97580.90196505119],\n    [0.00000000001, 2.21845432691, 107794.18751126219],\n    [0.00000000001, 5.21032711478, 134991.46920492979],\n    [0.00000000001, 3.36974859678, 22759.76748529401],\n    [0.00000000001, 3.6970462026, 51749.20809227239],\n    [0.00000000001, 5.50712708044, 104358.72611329758],\n    [0.00000000001, 3.54339432961, 84546.78527471398],\n    [0.00000000001, 1.85236380912, 76144.94556434419],\n    [0.00000000001, 1.35457977308, 103285.11708910679],\n    [0.00000000001, 5.41788745559, 79852.78232000639],\n    [0.00000000001, 2.71021284118, 419.4846438752],\n    [0.00000000001, 5.20690925178, 58946.51688439399],\n    [0.00000000001, 2.58243930041, 79219.30916633119],\n    [0.00000000001, 4.14551403325, 2648.454825473],\n    [0.00000000001, 0.80546617242, 52815.7035694624],\n    [0.00000000001, 4.3526382888, 131498.89763806018],\n    [0.00000000001, 2.96821079393, 63498.47038145279],\n    [0.00000000001, 1.67750729252, 64607.84893354619],\n    [0.00000000001, 1.27183275592, 39743.7636327506],\n    [0.00000000001, 4.96647288061, 365230.64398203876],\n    [0.00000000001, 0.9940651896, 50579.61984086379],\n    [0.00000000001, 5.18049622713, 1596.1864422846],\n    [0.00000000001, 3.02654575849, 54294.57014352679],\n    [0.00000000001, 5.63350272797, 78378.14871340781],\n    [0.00000000001, 4.40490970421, 25021.4076643842],\n    [0.00000000001, 3.63610465805, 51756.3216392732],\n    [0.00000000001, 4.26629771518, 26724.8994135984],\n    [0.00000000001, 2.79177248963, 157636.79740153858],\n    [0.00000000001, 4.5698813352, 19804.8272915828],\n    [0.00000000001, 2.63303478623, 5327.4761083828],\n    [0.00000000001, 5.14973525909, 104347.73123093879],\n    [0.00000000001, 3.74530927136, 44295.7171298094],\n    [0.00000000001, 0.68414890944, 90829.86112470538],\n    [0.00000000001, 0.49165582856, 69159.80243060499],\n    [0.00000000001, 1.49658721659, 61279.713277266],\n    [0.00000000001, 5.27847149725, 25934.1243310894],\n    [0.00000000001, 5.17229158556, 149.5631971346],\n    [0.00000000001, 3.18169864614, 78149.27013603736],\n    [0.00000000001, 0.76788482924, 146314.13330323418],\n    [0.00000000001, 5.2952848025, 26137.8997634784],\n    [0.00000000001, 3.51389080283, 49842.60989027639],\n    [0.00000000001, 0.80519817567, 103299.34418310839],\n    [0.00000000001, 1.91164708185, 105940.68546158058],\n    [0.00000000001, 0.84584454465, 77829.99768684579],\n    [0.00000000001, 4.68188188415, 90695.75207512038],\n    [0.00000000001, 0.65295847908, 26037.90651966999],\n    [0.00000000001, 0.23063503545, 105307.21230790539],\n    [0.00000000001, 3.8232058119, 25619.9381512198],\n    [0.00000000001, 4.40595033152, 70269.18098269838],\n    [0.00000000001, 5.8354369829, 27311.72098235281],\n    [0.00000000001, 4.93010556318, 143961.26714946238],\n    [0.00000000001, 0.69055367085, 10021.8372800994],\n    [0.00000000001, 4.04373064295, 25565.3257234804],\n    [0.00000000001, 2.76360990402, 55503.94193942859],\n    [0.00000000001, 5.27048505986, 52643.7712735028],\n    [0.00000000001, 5.30671272193, 77623.81213840858],\n    [0.00000000001, 3.5900148554, 130012.91751699499],\n    [0.00000000001, 6.20174437935, 3328.13565628019],\n    [0.00000000001, 4.37843587271, 52329.58509363319],\n    [0.00000000001, 5.35804254604, 7880.08915333899],\n    [0.00000000001, 0.37001213364, 29428.515568274],\n    [0.00000000001, 2.09823688356, 26610.48055966799],\n    [0.00000000001, 1.90742269266, 188276.65404017158],\n    [0.00000000001, 2.07583539066, 26555.8681319286],\n    [0.00000000001, 2.74928843672, 54509.0026760204],\n    [0.00000000001, 4.7836192657, 25450.90686955],\n    [0.00000000001, 4.66282101332, 1581.959348283],\n    [0.00000000001, 1.93180863256, 85034.42002596818],\n    [0.00000000001, 1.39574142846, 50593.84693486539],\n    [0.00000000001, 4.28383546403, 53242.3017603384],\n    [0.00000000001, 0.36440946351, 89586.37352302698],\n    [0.00000000001, 3.84510723447, 119116.85160956658],\n    [0.00000000001, 0.98328228963, 536.8045120954],\n    [0.00000000001, 6.21114511135, 25668.418497699],\n    [0.00000000001, 3.66409514672, 26624.70765366959],\n    [0.00000000001, 4.38823198457, 12546.481939083],\n    [0.00000000001, 3.254815521, 46848.3301747656],\n    [0.00000000001, 4.86353089367, 51639.00177105299],\n    [0.00000000001, 2.25536112069, 25551.09862947879],\n];\n\nconst VSOP87_R3: Vsop87Element = [\n    [0.00000032676, 1.67971641967, 26087.9031415742],\n    [0.00000024166, 4.63403168878, 52175.8062831484],\n    [0.00000012133, 1.38983777816, 78263.70942472259],\n    [0.00000005141, 4.43915486864, 104351.61256629678],\n    [0.00000001981, 1.20734065292, 130439.51570787099],\n    [0.0000000146, Math.PI],\n    [0.00000000719, 4.25914225052, 156527.41884944518],\n    [0.0000000025, 1.02794489584, 182615.32199101939],\n    [0.00000000084, 4.08003393556, 208703.22513259358],\n    [0.00000000028, 0.84976129869, 234791.12827416777],\n    [0.00000000023, 1.60056693427, 24978.5245894808],\n    [0.00000000011, 4.5790690182, 27197.2816936676],\n    [0.00000000012, 4.66186402631, 51066.427731055],\n    [0.00000000009, 3.90351105399, 260879.03141574195],\n    [0.00000000005, 1.44899194699, 77154.33087262919],\n    [0.00000000004, 1.37039350951, 53285.1848352418],\n    [0.00000000003, 0.65216170836, 286966.93455731616],\n    [0.00000000002, 5.31647339795, 20426.571092422],\n    [0.00000000002, 1.54948310012, 1109.3785520934],\n    [0.00000000002, 4.46650154841, 103242.23401420339],\n    [0.00000000002, 0.2031117197, 1059.3819301892],\n    [0.00000000001, 4.18509315538, 25132.3033999656],\n    [0.00000000001, 2.08677361801, 46514.4742339962],\n    [0.00000000001, 3.22427097914, 27147.28507176339],\n    [0.00000000001, 1.31990592569, 1589.0728952838],\n    [0.00000000001, 6.11476749247, 26617.5941066688],\n    [0.00000000001, 3.87574939924, 4551.9534970588],\n    [0.00000000001, 5.13451991746, 72602.37737557039],\n    [0.00000000001, 2.82416621766, 14765.2390432698],\n    [0.00000000001, 3.69788379486, 313054.83769889036],\n    [0.00000000001, 1.23397179166, 129330.13715577759],\n    [0.00000000001, 1.47670395865, 27043.5028831828],\n    [0.00000000001, 2.829933738, 52705.49724824299],\n    [0.00000000001, 1.6989676563, 23869.1460373874],\n    [0.00000000001, 0.32413035355, 9103.9069941176],\n    [0.00000000001, 4.2016156951, 27676.976036858],\n    [0.00000000001, 4.34344280909, 79373.08797681599],\n    [0.00000000001, 0.89956318302, 51220.20654153979],\n    [0.00000000001, 2.20322858011, 21535.9496445154],\n    [0.00000000001, 3.19342492912, 26301.2022370122],\n    [0.00000000001, 1.88258101468, 98690.28051714458],\n    [0.00000000001, 4.68591095165, 50586.73338786459],\n    [0.00000000001, 5.85065851846, 40853.142184844],\n    [0.00000000001, 1.23101504358, 54394.56338733519],\n    [0.00000000001, 6.23351653071, 53235.18821333759],\n    [0.00000000001, 3.87422845306, 77308.10968311399],\n    [0.00000000001, 0.79126413034, 32858.61374281979],\n    [0.00000000001, 4.14416492315, 29530.4780865396],\n    [0.00000000001, 3.66291049805, 82815.66292178139],\n    [0.00000000001, 4.44414264582, 53131.406024757],\n    [0.00000000001, 5.39898005107, 19317.1925403286],\n    [0.00000000001, 5.74090182848, 78793.40038981718],\n    [0.00000000001, 2.04445272211, 22645.32819660879],\n    [0.00000000001, 4.52312859491, 28306.66024576099],\n    [0.00000000001, 4.15987542477, 3442.5749449654],\n    [0.00000000001, 2.12434762874, 45405.0956819028],\n];\n\nconst VSOP87_R4: Vsop87Element = [\n    [0.00000000394, 0.36736738836, 26087.9031415742],\n    [0.00000000387, 3.1856889414, 52175.8062831484],\n    [0.0000000027, 6.16979809593, 78263.70942472259],\n    [0.00000000149, 2.91591472142, 104351.61256629678],\n    [0.00000000071, 5.95888916295, 130439.51570787099],\n    [0.00000000031, 2.72386331553, 156527.41884944518],\n    [0.00000000017],\n    [0.00000000012, 5.77758679438, 182615.32199101939],\n    [0.00000000005, 2.54442235521, 208703.22513259358],\n    [0.00000000002, 5.59215484513, 234791.12827416777],\n    [0.00000000001, 2.31734413223, 260879.03141574195],\n];\n\nconst VSOP87_R5: Vsop87Element = [\n    [0.00000000006, 3.98812118954, 26087.9031415742],\n    [0.00000000006, 1.55172409309, 52175.8062831484],\n    [0.00000000005, 4.65488347662, 78263.70942472259],\n    [0.00000000004, 1.40628214181, 104351.61256629678],\n    [0.00000000002, 4.44423794944, 130439.51570787099],\n    [0.00000000001, Math.PI],\n    [0.00000000001, 1.21235041448, 156527.41884944518],\n    [0.00000000001, 4.24238056507, 182615.32199101939],\n];\n\nexport const VSOP87_X: Vsop87Group = [VSOP87_L0, VSOP87_L1, VSOP87_L2, VSOP87_L3, VSOP87_L4, VSOP87_L5];\n\nexport const VSOP87_Y: Vsop87Group = [VSOP87_B0, VSOP87_B1, VSOP87_B2, VSOP87_B3, VSOP87_B4, VSOP87_B5];\n\nexport const VSOP87_Z: Vsop87Group = [VSOP87_R0, VSOP87_R1, VSOP87_R2, VSOP87_R3, VSOP87_R4, VSOP87_R5];\n","import * as vsop87EarthDate from '@app/resources/vsop87/vsop87EarthSphericalDate';\nimport * as vsop87EarthJ2000 from '@app/resources/vsop87/vsop87EarthSphericalJ2000';\nimport * as vsop87MercuryDate from '@app/resources/vsop87/vsop87MercurySphericalDate';\nimport * as vsop87MercuryJ2000 from '@app/resources/vsop87/vsop87MercurySphericalJ2000';\nimport Earth from '@package/earth/models/Earth';\nimport Sun from '@package/sun/models/Sun';\nimport type TimeOfInterest from '@package/time/models/TimeOfInterest';\nimport MercuryClass from './models/Mercury';\n\nclass Mercury extends MercuryClass {\n    public constructor(toi?: TimeOfInterest) {\n        const earth = new Earth(toi, vsop87EarthDate, vsop87EarthJ2000);\n\n        super(toi, earth, new Sun(toi, earth), vsop87MercuryDate, vsop87MercuryJ2000);\n    }\n\n    public static create(toi?: TimeOfInterest): Mercury {\n        return new Mercury(toi);\n    }\n}\n\nexport 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