{"version":3,"sources":["../../../../app/resources/vsop87/vsop87MarsSphericalDate.ts","../../../../app/resources/vsop87/vsop87MarsSphericalJ2000.ts","../../index.mars.high-precision.ts"],"sourcesContent":["import type {Vsop87Element, Vsop87Group} from '@app/types/Vsop87Types';\n\nconst VSOP87_L0: Vsop87Element = [\n    [6.20347711583],\n    [0.186563681, 5.05037100303, 3340.6124266998],\n    [0.01108216792, 5.40099836958, 6681.2248533996],\n    [0.00091798394, 5.75478745111, 10021.8372800994],\n    [0.00027744987, 5.97049512942, 3.523118349],\n    [0.0001061023, 2.93958524973, 2281.2304965106],\n    [0.00012315897, 0.84956081238, 2810.9214616052],\n    [0.00008926772, 4.15697845939, 0.0172536522],\n    [0.00008715688, 6.11005159792, 13362.4497067992],\n    [0.00006797552, 0.36462243626, 398.1490034082],\n    [0.00007774867, 3.33968655074, 5621.8429232104],\n    [0.00003575079, 1.66186540141, 2544.3144198834],\n    [0.00004161101, 0.2281497533, 2942.4634232916],\n    [0.0000307525, 0.85696597082, 191.4482661116],\n    [0.00002628122, 0.6480614357, 3337.0893083508],\n    [0.00002937543, 6.07893711408, 0.0673103028],\n    [0.0000238942, 5.03896401349, 796.2980068164],\n    [0.00002579842, 0.02996706197, 3344.1355450488],\n    [0.0000152814, 1.14979306228, 6151.533888305],\n    [0.00001798808, 0.65634026844, 529.6909650946],\n    [0.00001264356, 3.62275092231, 5092.1519581158],\n    [0.00001286232, 3.06795924626, 2146.1654164752],\n    [0.00001546408, 2.91579633392, 1751.539531416],\n    [0.00001024907, 3.69334293555, 8962.4553499102],\n    [0.00000891567, 0.1829389909, 16703.062133499],\n    [0.0000085876, 2.40093704204, 2914.0142358238],\n    [0.00000832718, 2.46418591282, 3340.5951730476],\n    [0.00000832724, 4.49495753458, 3340.629680352],\n    [0.00000712899, 3.66336014788, 1059.3819301892],\n    [0.00000748724, 3.82248399468, 155.4203994342],\n    [0.00000723863, 0.67497565801, 3738.761430108],\n    [0.00000635557, 2.92182704275, 8432.7643848156],\n    [0.00000655163, 0.48864075176, 3127.3133312618],\n    [0.00000550472, 3.81001205408, 0.9803210682],\n    [0.00000552746, 4.47478863016, 1748.016413067],\n    [0.00000425972, 0.55365138172, 6283.0758499914],\n    [0.00000415132, 0.49662314774, 213.299095438],\n    [0.00000472164, 3.6254781941, 1194.4470102246],\n    [0.00000306552, 0.38052862973, 6684.7479717486],\n    [0.00000312141, 0.99853322843, 6677.7017350506],\n    [0.00000293199, 4.22131277914, 20.7753954924],\n    [0.00000302377, 4.48618150321, 3532.0606928114],\n    [0.00000274028, 0.54222141841, 3340.545116397],\n    [0.00000281073, 5.88163372945, 1349.8674096588],\n    [0.00000231185, 1.28240685294, 3870.3033917944],\n    [0.000002836, 5.76885494123, 3149.1641605882],\n    [0.00000236114, 5.75504515576, 3333.498879699],\n    [0.00000274035, 0.13372501211, 3340.6797370026],\n    [0.00000299396, 2.78323705697, 6254.6266625236],\n    [0.00000204161, 2.82133266185, 1221.8485663214],\n    [0.00000238857, 5.37155471672, 4136.9104335162],\n    [0.00000188639, 1.49103016486, 9492.1463150048],\n    [0.00000221225, 3.50466672203, 382.8965322232],\n    [0.00000179196, 1.00561112574, 951.7184062506],\n    [0.0000017211, 0.43943041719, 5486.777843175],\n    [0.00000193126, 3.35715137745, 3.5904286518],\n    [0.00000144305, 1.41874193418, 135.0650800354],\n    [0.00000160011, 3.94854735192, 4562.4609930212],\n    [0.00000174068, 2.41360332576, 553.5694028424],\n    [0.00000130993, 4.04491720264, 12303.06777661],\n    [0.00000138245, 4.30145176915, 7.1135470008],\n    [0.00000128062, 1.80665643332, 5088.6288397668],\n    [0.00000139897, 3.32592516164, 2700.7151403858],\n    [0.00000128102, 2.20806651008, 1592.5960136328],\n    [0.00000116945, 3.12805282207, 7903.073419721],\n    [0.00000110375, 1.05195079687, 242.728603974],\n    [0.00000113486, 3.70070798123, 1589.0728952838],\n    [0.0000010009, 3.24343740861, 11773.3768115154],\n    [0.00000095592, 0.53954181149, 20043.6745601988],\n    [0.00000098947, 4.8455829474, 6681.2421070518],\n    [0.00000104541, 0.78535382076, 8827.3902698748],\n    [0.00000084187, 3.9897072073, 4399.994356889],\n    [0.00000086931, 2.20186740523, 11243.6858464208],\n    [0.00000071437, 2.80307550016, 3185.1920272656],\n    [0.00000072091, 5.84672102525, 5884.9268465832],\n    [0.00000073476, 2.18428012567, 8429.2412664666],\n    [0.00000098946, 2.81481140371, 6681.2075997474],\n    [0.00000068414, 2.73834914412, 2288.3440435114],\n    [0.00000086751, 1.02092221563, 7079.3738568078],\n    [0.0000006532, 2.68118597578, 28.4491874678],\n    [0.00000083749, 3.2025613099, 4690.4798363586],\n    [0.00000075034, 0.76643418252, 6467.9257579616],\n    [0.00000068984, 3.76399731788, 6041.3275670856],\n    [0.00000066706, 0.73630620766, 3723.508958923],\n    [0.00000063314, 4.5277147047, 426.598190876],\n    [0.00000061683, 6.16831509419, 2274.1169495098],\n    [0.00000052256, 0.89941531307, 9623.6882766912],\n    [0.00000055488, 4.6062546702, 4292.3308329504],\n    [0.00000051332, 4.14823636534, 3341.592747768],\n    [0.00000056629, 5.06250410206, 15.252471185],\n    [0.00000063376, 0.91296240798, 3553.9115221378],\n    [0.00000045829, 0.78784235062, 1990.745017041],\n    [0.00000048542, 3.95670418719, 4535.0594369244],\n    [0.00000041223, 6.02019329922, 3894.1818295422],\n    [0.00000041939, 3.58326425115, 8031.0922630584],\n    [0.00000056396, 1.68727150304, 6872.6731195112],\n    [0.00000055909, 3.46260833495, 263.0839233728],\n    [0.00000051678, 2.81307492682, 3339.6321056316],\n    [0.00000040671, 3.13832621829, 9595.2390892234],\n    [0.00000038107, 0.7340194632, 10025.3603984484],\n    [0.00000039495, 5.6322539216, 3097.88382272579],\n    [0.00000044174, 3.19529736702, 5628.9564702112],\n    [0.00000036716, 2.63720775102, 692.1576012268],\n    [0.00000045905, 0.28718981497, 5614.7293762096],\n    [0.00000038352, 5.82880707426, 3191.0492295652],\n    [0.00000038206, 2.34835984063, 162.4666361322],\n    [0.00000032562, 0.48400659333, 6681.2921637024],\n    [0.00000037135, 0.68508150774, 2818.035008606],\n    [0.00000031168, 3.98160912982, 20.3553193988],\n    [0.00000032561, 0.89250316888, 6681.1575430968],\n    [0.00000037752, 4.15482955299, 2803.8079146044],\n    [0.00000033626, 6.11992401052, 6489.776587288],\n    [0.00000029007, 2.42707385674, 3319.8370312074],\n    [0.0000003879, 1.35198498795, 10018.3141617504],\n    [0.00000033148, 1.14023770004, 5.5229243074],\n    [0.00000027584, 1.59691203058, 7210.9158184942],\n    [0.00000028686, 5.72055456734, 7477.522860216],\n    [0.00000034031, 2.59544082509, 11769.8536931664],\n    [0.0000002538, 0.52093116112, 10.6366653498],\n    [0.00000026357, 1.34532646574, 3496.032826134],\n    [0.00000024554, 4.00323183088, 11371.7046897582],\n    [0.00000025637, 0.2496352342, 522.5774180938],\n    [0.00000027278, 4.55645328122, 3361.3878221922],\n    [0.00000023764, 1.84058377256, 12832.7587417046],\n    [0.00000022816, 3.52628212106, 1648.4467571974],\n    [0.00000022274, 0.72106133721, 266.6070417218],\n    [0.00000021202, 3.11824472284, 2957.7158944766],\n    [0.00000020158, 3.67131504946, 1758.6530784168],\n    [0.0000002153, 6.15388757177, 3264.3463554242],\n    [0.00000020093, 1.08247416065, 7064.1213856228],\n    [0.00000021343, 4.28218757863, 4032.7700279266],\n    [0.0000002754, 6.08389942337, 6674.1113063988],\n    [0.00000019849, 2.37668920745, 10713.9948813262],\n    [0.00000025512, 3.43242352804, 3443.7052009184],\n    [0.00000022542, 5.64861703438, 2388.8940204492],\n    [0.00000024378, 0.96994696413, 632.7837393132],\n    [0.00000023079, 4.74990214223, 3347.7259737006],\n    [0.00000017709, 3.69742343974, 3344.2028553516],\n    [0.00000022662, 3.95446324417, 4989.0591838972],\n    [0.00000022604, 5.24082917494, 3205.5473466644],\n    [0.00000016811, 5.48619684111, 3.881335358],\n    [0.00000018422, 4.22535881468, 2787.0430238574],\n    [0.00000022737, 4.98520896596, 7632.9432596502],\n    [0.00000016648, 2.52823633184, 14584.2982731206],\n    [0.00000020963, 4.27878216453, 5099.2655051166],\n    [0.00000016042, 1.76786752521, 3475.6775067352],\n    [0.00000015816, 3.13240869691, 59.3738619136],\n    [0.00000018113, 3.25756020453, 3337.021998048],\n    [0.00000019295, 3.23911854642, 7.046236698],\n    [0.00000016772, 4.3973150711, 15643.6802033098],\n    [0.00000017555, 4.09197396097, 74.7815985673],\n    [0.00000013704, 2.5411701816, 4933.2084403326],\n    [0.00000016011, 1.54669633224, 14054.607308026],\n    [0.00000013547, 4.04152185347, 4929.6853219836],\n    [0.00000014566, 3.45210993051, 7373.3824546264],\n    [0.00000013926, 5.40797129468, 10973.55568635],\n    [0.00000014246, 0.59808746067, 23.8784377478],\n    [0.00000014023, 1.44218648988, 10404.7338123226],\n    [0.00000016051, 3.79409950488, 2118.7638603784],\n    [0.00000013714, 3.59050634457, 15113.9892382152],\n    [0.00000018038, 4.25391532, 2487.4160449478],\n    [0.00000015846, 0.56901288692, 103.0927742186],\n    [0.00000013403, 5.16920432994, 10213.285546211],\n    [0.00000016069, 2.36895958451, 3265.8308281325],\n    [0.00000012773, 0.10483085657, 7234.794256242],\n    [0.00000012199, 1.73079687044, 36.0278666774],\n    [0.00000012283, 5.19940030635, 10021.8545337516],\n    [0.00000011945, 5.47997890162, 2921.1277828246],\n    [0.0000001189, 4.76593905835, 5828.0284716476],\n    [0.00000012283, 3.16862882612, 10021.8200264472],\n    [0.00000013274, 6.1780690534, 1744.4259844152],\n    [0.00000011777, 5.727315509, 0.42007609361],\n    [0.0000001234, 2.52146766331, 2906.900688823],\n    [0.00000014458, 4.38010658432, 316.3918696566],\n    [0.00000010639, 3.45016942919, 639.897286314],\n    [0.00000010925, 0.60397688999, 5085.038411115],\n    [0.00000010645, 5.47696728127, 419.4846438752],\n    [0.00000010797, 1.37191539718, 10419.9862835076],\n    [0.00000010565, 1.09061610786, 12168.0026965746],\n    [0.00000009578, 4.89489266197, 3230.4061054804],\n    [0.00000009808, 5.83632873998, 14314.1681130498],\n    [0.0000000972, 6.28282606427, 9225.539273283],\n    [0.00000009146, 1.10220667397, 9808.5381846614],\n    [0.00000012733, 1.79883375851, 13745.3462390224],\n    [0.00000009779, 3.60056884868, 206.1855484372],\n    [0.00000012156, 4.42295240981, 14712.317116458],\n    [0.00000008801, 3.97218590685, 170.6728706192],\n    [0.00000010685, 4.33894776374, 7740.6067835888],\n    [0.00000010041, 1.3829466683, 3583.3410306738],\n    [0.00000008499, 4.29275471153, 0.4298831267],\n    [0.00000009882, 2.69148019691, 36.6053653042],\n    [0.00000010585, 0.89641284928, 23384.2869868986],\n    [0.00000008478, 2.86886131803, 9381.9399937854],\n    [0.0000000956, 4.33382353581, 131.5419616864],\n    [0.00000008433, 3.1523973397, 6525.8044539654],\n    [0.00000007517, 1.24476310635, 6894.5239488376],\n    [0.00000006753, 1.58869332894, 6836.6452528338],\n    [0.00000006666, 4.38910103043, 66.4874089144],\n    [0.00000006697, 5.77315870484, 5202.3582793352],\n    [0.00000006188, 1.5784796785, 3325.3599555148],\n    [0.00000008392, 2.90734956761, 43.718912305],\n    [0.00000006427, 6.03333185624, 574.3447983348],\n    [0.00000006296, 0.06976040737, 1964.838626854],\n    [0.00000006144, 5.43713363624, 1861.7458526354],\n    [0.0000000818, 0.43967386003, 2707.8286873866],\n    [0.00000006532, 1.24907069366, 12964.300703391],\n    [0.00000007341, 4.95693808975, 3767.2106175758],\n    [0.00000006134, 3.16322441707, 6680.2445323314],\n    [0.00000005937, 4.22752447794, 4459.3682188026],\n    [0.00000005848, 4.30379700916, 7875.6718636242],\n    [0.00000005895, 0.77226207039, 2699.7348193176],\n    [0.00000005962, 3.01318151415, 3369.0616141676],\n    [0.00000006307, 1.77830983983, 2178.137722292],\n    [0.00000006103, 4.49866000852, 6682.2051744678],\n    [0.0000000577, 0.96127853878, 13916.0191096416],\n    [0.00000005725, 4.93042706875, 2384.3232707292],\n    [0.00000007576, 6.16308742022, 6531.661656265],\n    [0.00000007285, 0.52756973131, 10575.4066829418],\n    [0.00000005212, 3.48999909365, 12935.8515159232],\n    [0.00000005266, 4.51201042373, 6144.4203413042],\n    [0.00000006632, 3.48100908925, 1118.7557921028],\n    [0.00000005182, 3.25459432228, 2391.43681773],\n    [0.00000005214, 0.01023839897, 533.2140834436],\n    [0.00000005436, 6.18510045571, 8425.6508378148],\n    [0.00000005491, 3.42235890731, 3134.4268782626],\n    [0.00000005773, 3.55190490896, 8969.568896911],\n    [0.00000005093, 0.60873962999, 8955.3418029094],\n    [0.00000004798, 4.63144694279, 4569.574540022],\n    [0.00000005773, 5.92316959013, 640.8776073822],\n    [0.00000005661, 0.75892958537, 3120.199784261],\n    [0.00000004912, 1.70762118141, 13358.9265884502],\n    [0.00000005438, 4.29256867866, 3503.079062832],\n    [0.00000004631, 3.34058594066, 3116.2676309979],\n    [0.00000005823, 2.39009621568, 3302.479391062],\n    [0.00000005095, 1.12497131307, 5331.3574437408],\n    [0.00000004409, 1.3870873295, 17256.6315363414],\n    [0.00000004193, 0.19116539271, 9830.3890139878],\n    [0.00000004164, 0.43798301495, 1066.49547719],\n    [0.0000000422, 1.69427060019, 13524.9163429314],\n    [0.00000005192, 3.63500646439, 536.8045120954],\n    [0.00000005664, 0.50446281443, 5305.4510535538],\n    [0.00000005264, 5.40031180025, 3355.8648978848],\n    [0.00000005403, 5.96867227489, 3074.005384978],\n    [0.00000004046, 0.83826342101, 10021.9045904022],\n    [0.00000004153, 3.14497570817, 8439.8779318164],\n    [0.0000000482, 1.09025983917, 13365.9728251482],\n    [0.00000004906, 3.73078406569, 1228.9621133222],\n    [0.00000004576, 0.99344843456, 6158.6474353058],\n    [0.00000004211, 3.87091723842, 3312.163239232],\n    [0.00000004917, 6.25051681717, 17654.7805397496],\n    [0.00000003597, 6.07298181151, 10818.1352869158],\n    [0.00000003547, 1.87663674277, 17395.2197347258],\n    [0.00000003734, 1.37011069213, 3973.396166013],\n    [0.00000004422, 2.89974680697, 6247.5131155228],\n    [0.00000003975, 4.03441621102, 1052.2683831884],\n    [0.00000004466, 4.59188422424, 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3343.1552239806],\n    [0.00000000039, 4.98185580267, 3468.5639597344],\n    [0.00000000047, 2.16244218985, 10027.3602044068],\n    [0.00000000037, 5.84953090935, 6791.431174619],\n    [0.00000000048, 5.03779546898, 7064.1041319706],\n    [0.00000000038, 0.58076516432, 8966.3875031733],\n    [0.00000000051, 3.36181117037, 8976.6824439118],\n    [0.00000000042, 4.13725767158, 8336.7851575978],\n    [0.00000000038, 5.75425648893, 4531.5363185754],\n    [0.00000000038, 3.55681323215, 5351.7127631396],\n    [0.0000000004, 2.79414141035, 3067.9394693482],\n    [0.0000000004, 4.99798468494, 10042.1925994982],\n    [0.00000000037, 1.82286411009, 10017.9559447414],\n    [0.00000000036, 6.02115369796, 6474.524116103],\n    [0.00000000044, 3.01299253859, 7417.1013669314],\n    [0.00000000045, 2.33470159894, 3123.7902129128],\n    [0.00000000039, 4.91767933978, 8034.6153814074],\n];\n\nconst VSOP87_L1: Vsop87Element = [\n    [3340.85627474342],\n    [0.01458227051, 3.60426053609, 3340.6124266998],\n    [0.00164901343, 3.92631250962, 6681.2248533996],\n    [0.00019963338, 4.2659406103, 10021.8372800994],\n    [0.00003452399, 4.73210386365, 3.523118349],\n    [0.0000248548, 4.61277567318, 13362.4497067992],\n    [0.00000841551, 4.45858256765, 2281.2304965106],\n    [0.00000537566, 5.01589727492, 398.1490034082],\n    [0.00000521041, 4.99422678175, 3344.1355450488],\n    [0.00000432614, 2.5606640286, 191.4482661116],\n    [0.00000429656, 5.31646162367, 155.4203994342],\n    [0.00000381747, 3.53881289437, 796.2980068164],\n    [0.00000314129, 4.96335266049, 16703.062133499],\n    [0.00000282804, 3.15967518204, 2544.3144198834],\n    [0.00000205664, 4.5689145566, 2146.1654164752],\n    [0.00000168805, 1.32894813366, 3337.0893083508],\n    [0.00000157587, 4.18501035954, 1751.539531416],\n    [0.00000133686, 2.23325104196, 0.9803210682],\n    [0.00000116561, 2.21347652545, 1059.3819301892],\n    [0.00000117591, 6.02407213861, 6151.533888305],\n    [0.00000113595, 5.42803224317, 3738.761430108],\n    [0.00000133563, 5.97421903927, 1748.016413067],\n    [0.00000091098, 1.09627836591, 1349.8674096588],\n    [0.00000083301, 5.29636626272, 6684.7479717486],\n    [0.00000113876, 2.12869455089, 1194.4470102246],\n    [0.00000080776, 4.42813405865, 529.6909650946],\n    [0.00000079531, 2.2486426633, 8962.4553499102],\n    [0.00000072505, 5.8420816324, 242.728603974],\n    [0.00000072946, 2.50189460554, 951.7184062506],\n    [0.00000071487, 3.85636094435, 2914.0142358238],\n    [0.00000085342, 3.90854841008, 553.5694028424],\n    [0.00000067582, 5.02327686473, 382.8965322232],\n    [0.00000065089, 1.01802439311, 3340.5951730476],\n    [0.00000065089, 3.04879603978, 3340.629680352],\n    [0.00000061508, 4.151831598, 3149.1641605882],\n    [0.00000048477, 4.87362121538, 213.299095438],\n    [0.00000046584, 1.31452419914, 3185.1920272656],\n    [0.0000005652, 3.8881369932, 4136.9104335162],\n    [0.00000047613, 1.18238046057, 3333.498879699],\n    [0.00000041343, 0.71385375517, 1592.5960136328],\n    [0.00000040055, 5.31611875491, 20043.6745601988],\n    [0.00000040272, 2.72542480614, 7.1135470008],\n    [0.00000032886, 5.41067411968, 6283.0758499914],\n    [0.00000028244, 0.04534124888, 9492.1463150048],\n    [0.00000022294, 5.88516997273, 3870.3033917944],\n    [0.00000022431, 5.46592525433, 20.3553193988],\n    [0.00000022612, 0.83775884934, 3097.88382272579],\n    [0.00000021418, 5.37934044204, 3340.545116397],\n    [0.00000023335, 6.16762213077, 3532.0606928114],\n    [0.00000026579, 3.88960724782, 1221.8485663214],\n    [0.00000022797, 1.54504711003, 2274.1169495098],\n    [0.00000020431, 2.36353950189, 1589.0728952838],\n    [0.00000020186, 3.36375535766, 5088.6288397668],\n    [0.00000026554, 5.11271747607, 2700.7151403858],\n    [0.00000019675, 2.57805423988, 12303.06777661],\n    [0.00000019468, 0.49216434489, 6677.7017350506],\n    [0.00000021104, 3.52525428062, 15.252471185],\n    [0.00000021425, 4.97081508139, 3340.6797370026],\n    [0.00000018505, 5.57863503922, 1990.745017041],\n    [0.00000017811, 6.12537931996, 4292.3308329504],\n    [0.00000016472, 2.60291845066, 3341.592747768],\n    [0.00000016599, 1.25519718278, 3894.1818295422],\n    [0.00000019455, 2.53112676345, 4399.994356889],\n    [0.00000015, 1.03464802434, 2288.3440435114],\n    [0.00000020029, 4.73119428749, 4690.4798363586],\n    [0.00000015381, 2.4700947035, 4535.0594369244],\n    [0.00000019964, 5.78652958398, 7079.3738568078],\n    [0.00000015307, 2.26515985343, 3723.508958923],\n    [0.00000014705, 3.36979890389, 6681.2421070518],\n    [0.00000013535, 2.1233441041, 5486.777843175],\n    [0.0000001295, 5.61929676688, 10025.3603984484],\n    [0.00000012682, 2.95022113262, 3496.032826134],\n    [0.00000013644, 1.97739547259, 5614.7293762096],\n    [0.00000013013, 1.51424752315, 5628.9564702112],\n    [0.00000014705, 1.33902715586, 6681.2075997474],\n    [0.00000011353, 6.23438193885, 135.0650800354],\n    [0.00000013275, 3.42243595774, 5621.8429232104],\n    [0.00000010867, 5.28184140482, 2818.035008606],\n    [0.0000001185, 3.12701832949, 426.598190876],\n    [0.00000010472, 2.73581537999, 2787.0430238574],\n    [0.00000011132, 5.84178807242, 2803.8079146044],\n    [0.00000011764, 2.58551521265, 8432.7643848156],\n    [0.00000011854, 5.4763068691, 3553.9115221378],\n    [0.0000000849, 1.91378007528, 11773.3768115154],\n    [0.00000009708, 4.52957217749, 6489.776587288],\n    [0.00000008562, 3.16141186861, 162.4666361322],\n    [0.00000010958, 4.15771850822, 2388.8940204492],\n    [0.00000008133, 1.61295625304, 2957.7158944766],\n    [0.0000000884, 4.23294294197, 7477.522860216],\n    [0.00000008034, 5.69983564288, 6041.3275670856],\n    [0.00000008344, 2.18273563186, 23.8784377478],\n    [0.00000007696, 5.71877332978, 9623.6882766912],\n    [0.00000008695, 4.43542512603, 5092.1519581158],\n    [0.00000008434, 3.16292250873, 3347.7259737006],\n    [0.00000006664, 5.07517838003, 8031.0922630584],\n    [0.0000000865, 4.33256981793, 3339.6321056316],\n    [0.00000007372, 6.17831593269, 3583.3410306738],\n    [0.00000005726, 3.68120120299, 8429.2412664666],\n    [0.00000006186, 3.54165967734, 692.1576012268],\n    [0.00000005438, 1.0512968958, 4933.2084403326],\n    [0.00000006108, 1.66240879939, 6525.8044539654],\n    [0.00000005154, 1.14703246368, 28.4491874678],\n    [0.0000000485, 5.29254832907, 6681.2921637024],\n    [0.00000005467, 6.12511022569, 2487.4160449478],\n    [0.00000004866, 3.10475368803, 5.5229243074],\n    [0.0000000636, 2.11896608283, 5884.9268465832],\n    [0.00000005223, 0.3744626412, 12832.7587417046],\n    [0.0000000471, 0.23326120326, 36.0278666774],\n    [0.00000004954, 2.44806818502, 5099.2655051166],\n    [0.00000004861, 5.6050529887, 6467.9257579616],\n    [0.00000004706, 0.02998416568, 7210.9158184942],\n    [0.00000004845, 5.70115105957, 6681.1575430968],\n    [0.00000005496, 2.01006612503, 522.5774180938],\n    [0.00000004964, 1.51006845561, 1744.4259844152],\n    [0.00000004443, 0.31208413867, 10018.3141617504],\n    [0.00000005381, 0.18359380473, 2942.4634232916],\n    [0.00000004075, 3.9558210833, 3.881335358],\n    [0.00000005462, 0.19274227117, 7632.9432596502],\n    [0.0000000411, 1.59535768711, 7234.794256242],\n    [0.00000004287, 2.87635993968, 2810.9214616052],\n    [0.00000005276, 2.22638595594, 3127.3133312618],\n    [0.0000000445, 4.17005729081, 2906.900688823],\n    [0.00000005144, 5.66878565669, 23384.2869868986],\n    [0.00000003844, 2.2644218316, 2699.7348193176],\n    [0.00000003514, 1.76463961051, 1758.6530784168],\n    [0.00000003351, 2.66194137496, 4929.6853219836],\n    [0.00000004299, 4.43057446968, 640.8776073822],\n    [0.0000000314, 1.75866226873, 9595.2390892234],\n    [0.00000003716, 2.91969220147, 15643.6802033098],\n    [0.00000003249, 6.13937134379, 10419.9862835076],\n    [0.00000003077, 2.56115174488, 7064.1213856228],\n    [0.00000003208, 2.3251945308, 5085.038411115],\n    [0.0000000293, 1.27797225349, 574.3447983348],\n    [0.00000002771, 1.75664216142, 639.897286314],\n    [0.00000003325, 2.58945297384, 2118.7638603784],\n    [0.00000003187, 2.8664675151, 7740.6067835888],\n    [0.0000000278, 0.43157089331, 5828.0284716476],\n    [0.00000002824, 0.98500544471, 3191.0492295652],\n    [0.00000003016, 1.86555882509, 7.046236698],\n    [0.00000003364, 1.52847138842, 6674.1113063988],\n    [0.00000002672, 3.70855172347, 10021.8545337516],\n    [0.00000002636, 3.11790581052, 6836.6452528338],\n    [0.00000002672, 1.67778079449, 10021.8200264472],\n    [0.00000002563, 3.77294986894, 2921.1277828246],\n    [0.00000002509, 0.30454165124, 3475.6775067352],\n    [0.000000024, 0.96972421975, 3319.8370312074],\n    [0.00000002262, 2.8139431495, 7875.6718636242],\n    [0.00000002395, 2.96002707485, 6682.2051744678],\n    [0.0000000221, 0.61263930586, 10973.55568635],\n    [0.00000002248, 4.12382007742, 59.3738619136],\n    [0.00000002426, 5.91508357946, 5331.3574437408],\n    [0.00000002158, 2.17583545077, 15113.9892382152],\n    [0.00000001941, 5.47668312685, 11371.7046897582],\n    [0.00000001903, 5.11165653855, 1066.49547719],\n    [0.0000000237, 3.87889340214, 3355.8648978848],\n    [0.00000002299, 1.15914205086, 3320.257107301],\n    [0.00000001944, 5.89081872133, 6894.5239488376],\n    [0.00000001843, 3.07643314617, 3325.3599555148],\n    [0.00000001809, 4.97905218276, 1648.4467571974],\n    [0.00000002136, 1.91364787635, 8969.568896911],\n    [0.00000002099, 3.00410255642, 6254.6266625236],\n    [0.00000001915, 3.5590743174, 3767.2106175758],\n    [0.00000001991, 5.37274107053, 206.1855484372],\n    [0.00000001685, 5.49701299817, 266.6070417218],\n    [0.00000001646, 1.31923405548, 3264.3463554242],\n    [0.00000001732, 1.81361103995, 536.8045120954],\n    [0.00000001723, 3.25900379342, 7903.073419721],\n    [0.00000001564, 5.75428852012, 3360.96774609859],\n    [0.00000001589, 1.73273563259, 3134.4268782626],\n    [0.0000000169, 2.43213510013, 3120.199784261],\n    [0.00000001549, 1.54016426558, 8425.6508378148],\n    [0.00000001536, 5.88431472627, 20.7753954924],\n    [0.0000000146, 4.89733072879, 9830.3890139878],\n    [0.00000002023, 5.94808387002, 13365.9728251482],\n    [0.00000001991, 3.11613326265, 3361.3878221922],\n    [0.00000001401, 2.24482184868, 3344.2028553516],\n    [0.00000001365, 4.58006320751, 10818.1352869158],\n    [0.00000001392, 5.48931017516, 170.6728706192],\n    [0.0000000136, 3.07974035205, 6127.6554505572],\n    [0.00000001345, 1.18653158091, 14584.2982731206],\n    [0.00000001717, 5.62501515015, 6158.6474353058],\n    [0.00000001408, 1.82072980335, 3337.021998048],\n    [0.00000001736, 2.01921900546, 10575.4066829418],\n    [0.00000001402, 4.50079374387, 5729.506447149],\n    [0.00000001266, 5.91088435118, 9808.5381846614],\n    [0.00000001433, 6.05024653324, 12964.300703391],\n    [0.00000001223, 0.82796258263, 419.4846438752],\n    [0.00000001393, 1.05117949107, 6438.4962494256],\n    [0.00000001272, 1.50116723856, 8439.8779318164],\n    [0.00000001143, 4.89747373731, 220.4126424388],\n    [0.00000001183, 3.52587190041, 6688.3384004004],\n    [0.00000001132, 6.19236255633, 6144.4203413042],\n    [0.00000001154, 2.2305848597, 8955.3418029094],\n    [0.00000001129, 3.44264300692, 10177.2576795336],\n    [0.00000001152, 5.29913300616, 27.4015560968],\n    [0.00000001274, 4.5842123844, 6247.5131155228],\n    [0.00000001093, 2.8262333236, 4569.574540022],\n    [0.00000001303, 0.44350560735, 87.30820453981],\n    [0.00000001335, 2.1420445773, 11243.6858464208],\n    [0.00000001102, 1.96260837539, 6298.3283211764],\n    [0.00000001066, 2.89865914321, 10404.7338123226],\n    [0.00000001027, 4.79269049654, 3914.9572250346],\n    [0.00000001015, 0.2284781873, 3230.4061054804],\n    [0.00000001041, 3.73274497451, 10213.285546211],\n    [0.00000001154, 4.14326179244, 6261.7402095244],\n    [0.00000001306, 3.67645557029, 2301.58581590939],\n    [0.00000001145, 5.12292846748, 4562.4609930212],\n    [0.00000001275, 5.14333847164, 2693.601593385],\n    [0.00000000914, 1.22398892152, 103.0927742186],\n    [0.00000000955, 1.52875141393, 3369.0616141676],\n    [0.00000000908, 0.48223420834, 13358.9265884502],\n    [0.00000000892, 1.35161136807, 1214.7350193206],\n    [0.00000000998, 3.2966588195, 3178.1457905676],\n    [0.0000000098, 1.69212466625, 43.718912305],\n    [0.00000000919, 2.45445889752, 13916.0191096416],\n    [0.00000000899, 5.94990531529, 12168.0026965746],\n    [0.00000000891, 5.63297246408, 10021.9045904022],\n    [0.00000000922, 3.91483430303, 9225.539273283],\n    [0.0000000093, 0.240730047, 6923.9534573736],\n    [0.00000000923, 1.1039607445, 29.429508536],\n    [0.00000000816, 4.65198282005, 2707.8286873866],\n    [0.00000000791, 6.08595583868, 2384.3232707292],\n    [0.0000000082, 4.80968546763, 533.2140834436],\n    [0.00000000758, 2.06012386134, 12935.8515159232],\n    [0.00000000738, 1.03564559078, 14314.1681130498],\n    [0.00000000908, 0.69862047595, 16173.3711684044],\n    [0.000000007, 4.0878823461, 5202.3582793352],\n    [0.00000000829, 2.01062325398, 9866.4168806652],\n    [0.00000000887, 6.04145842617, 10021.7699697966],\n    [0.00000000768, 1.39532897827, 8273.8208670324],\n    [0.00000000873, 4.45446600602, 3316.733988952],\n    [0.00000000673, 3.02440642752, 1039.0266107904],\n    [0.0000000066, 2.83410276989, 107.6635239386],\n    [0.00000000838, 0.39195370222, 10551.528245194],\n    [0.00000000708, 3.27560955336, 18984.2926300096],\n    [0.00000000658, 6.01853128902, 26724.8994135984],\n    [0.00000000685, 1.98132615912, 1228.9621133222],\n    [0.00000000595, 0.10260171285, 111.1866422876],\n    [0.00000000563, 1.59138368358, 2391.43681773],\n    [0.00000000555, 2.7080196219, 4555.3474460204],\n    [0.00000000696, 2.89276686038, 2648.454825473],\n    [0.00000000587, 4.56017988729, 6680.2445323314],\n    [0.0000000054, 2.86002662919, 5459.3762870782],\n    [0.0000000053, 5.64877399946, 6034.2140200848],\n    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[0.00000000075, 5.54907590704, 16872.642316632],\n    [0.00000000061, 0.33159827734, 12012.5822971404],\n    [0.00000000063, 3.16314818302, 11670.2840372968],\n    [0.00000000062, 0.23148800541, 7314.0085927128],\n    [0.00000000078, 1.65377731167, 11614.4332937322],\n    [0.00000000068, 1.10866475394, 6155.057006654],\n    [0.00000000068, 4.45713540461, 9175.7544453482],\n    [0.00000000081, 3.66553577428, 15265.8865193004],\n    [0.00000000068, 5.59792852411, 377.3736079158],\n    [0.00000000059, 6.25689995147, 41427.4869831788],\n    [0.00000000072, 3.39739853142, 685.1113645288],\n    [0.00000000062, 0.11206359088, 14047.4937610252],\n    [0.00000000057, 4.31819630987, 95.9792272178],\n    [0.0000000007, 5.98596344975, 6531.661656265],\n    [0.00000000066, 5.93804470886, 3490.1756238344],\n    [0.00000000056, 5.11205539684, 7322.1024607818],\n    [0.00000000056, 3.36788837326, 4379.6390374902],\n    [0.00000000056, 2.20908914878, 6688.2710900976],\n    [0.00000000057, 4.57828186723, 10037.0897512844],\n    [0.00000000057, 0.04695703833, 24889.5747959916],\n    [0.00000000065, 2.70973517401, 19617.07636932279],\n    [0.00000000068, 3.51423189318, 14556.8967170238],\n    [0.00000000056, 5.94452825242, 21548.9623692918],\n    [0.00000000056, 3.94541346495, 25665.5174834092],\n    [0.00000000055, 0.45166365461, 16702.9948231962],\n    [0.00000000062, 0.05229160039, 14061.7208550268],\n    [0.00000000055, 1.14774475393, 4459.3682188026],\n    [0.00000000065, 6.21442820689, 6947.8318951214],\n    [0.00000000056, 5.01712943722, 485.9720527896],\n    [0.00000000065, 1.51615558729, 5511.636601991],\n    [0.00000000072, 4.90742373357, 25287.7237993998],\n    [0.00000000057, 5.31542907454, 28628.3362260996],\n    [0.00000000055, 4.02023620788, 4005.3684718298],\n    [0.00000000054, 5.51196184505, 44.6538332402],\n    [0.00000000053, 0.46840976995, 19645.5255567906],\n    [0.00000000053, 4.51539970261, 9886.772200064],\n    [0.00000000069, 3.37092084432, 41.5507909848],\n    [0.00000000072, 4.66520155151, 6685.1061887576],\n    [0.00000000052, 2.05209599225, 7366.2689076256],\n    [0.00000000052, 6.25882226723, 12509.2533250472],\n    [0.0000000006, 0.33350021257, 13575.7488022372],\n    [0.00000000059, 5.94433755684, 625.6701923124],\n    [0.0000000005, 2.65624501709, 10124.930054318],\n    [0.00000000068, 2.92105834159, 10025.4277087512],\n    [0.00000000051, 2.88289068067, 39601.8919124496],\n    [0.00000000069, 1.09637075565, 24076.4445881254],\n    [0.00000000052, 2.65290577481, 15650.7937503106],\n    [0.00000000052, 3.2868331301, 6756.0064519669],\n    [0.00000000054, 5.34683925496, 6578.132079181],\n    [0.00000000054, 2.77410607136, 6705.1032911474],\n    [0.00000000049, 2.657002099, 6944.3087767724],\n    [0.00000000053, 5.67436244967, 1883.0814931024],\n    [0.00000000048, 5.68336050679, 8646.0634802536],\n    [0.00000000051, 0.113906433, 17402.3332817266],\n    [0.00000000065, 1.03099992649, 4106.4054911462],\n    [0.0000000006, 1.00159365247, 151.8972810852],\n    [0.0000000005, 3.84651247899, 45494.58142974879],\n    [0.00000000047, 3.03959709242, 5408.5438277724],\n    [0.00000000063, 4.16165369755, 8186.5126624926],\n    [0.00000000046, 2.69368087378, 16547.6417340648],\n    [0.00000000051, 2.99576014378, 3774.3241645766],\n    [0.00000000044, 2.00664763411, 6418.1409300268],\n    [0.00000000045, 4.01853755929, 19406.6782881746],\n    [0.00000000058, 3.1447475355, 4025.6564809258],\n    [0.0000000005, 2.59881540437, 6621.850991486],\n    [0.00000000043, 4.87912487459, 6414.6178116778],\n    [0.00000000042, 5.20400092044, 4447.7512323846],\n    [0.00000000051, 1.99634375899, 5032.7780962022],\n    [0.00000000043, 1.28813888865, 6643.0918177618],\n    [0.0000000004, 0.9680161856, 14591.4118201214],\n    [0.00000000039, 1.84985100829, 10001.48196070061],\n    [0.00000000039, 5.69967200167, 6106.8800550648],\n    [0.00000000038, 3.27498743518, 18052.9295431578],\n    [0.00000000039, 2.84167905068, 6652.7756659318],\n    [0.00000000044, 0.57891618854, 16865.5287696312],\n    [0.00000000043, 4.61937364869, 3341.0325027934],\n    [0.00000000042, 6.02555835659, 6691.8615187494],\n    [0.00000000034, 4.9773499235, 6670.5881880498],\n    [0.00000000033, 1.39167727215, 4825.544916394],\n    [0.00000000035, 6.02955363644, 3568.0885594888],\n    [0.00000000035, 0.31961016732, 6645.1969867222],\n    [0.00000000032, 5.63043769073, 3511.285297319],\n    [0.00000000031, 5.4297846421, 9945.5712088238],\n    [0.00000000038, 5.66461657503, 3416.8784979754],\n    [0.0000000003, 0.98518793666, 20426.571092422],\n    [0.00000000038, 0.12870962242, 6604.958782124],\n    [0.00000000037, 5.48374357342, 3311.18291816379],\n    [0.00000000032, 6.1110697981, 4392.8808098882],\n    [0.00000000031, 3.18481282781, 3341.0423098265],\n    [0.00000000034, 2.32358226279, 9072.6616711296],\n    [0.00000000039, 4.11042361929, 3312.163239232],\n    [0.00000000027, 0.57810321636, 3391.89276456221],\n    [0.00000000029, 2.48646403166, 9815.6517316622],\n    [0.00000000031, 0.44265747667, 3451.7990689874],\n    [0.00000000027, 6.13498177783, 3362.4632560262],\n    [0.00000000027, 6.21846173482, 5223.6939198022],\n    [0.00000000027, 2.94945830517, 7203.8022714934],\n    [0.00000000027, 3.261798558, 8756.269801473],\n    [0.00000000027, 3.943852717, 23958.6317852334],\n    [0.00000000033, 3.77237326006, 12808.8803039568],\n    [0.0000000003, 4.75096367323, 15906.7641266826],\n    [0.00000000031, 0.88248871193, 3340.1825435731],\n    [0.00000000025, 0.31303295413, 6571.0185321802],\n    [0.00000000031, 4.29076841627, 10020.8569590312],\n    [0.00000000026, 2.22427360058, 10050.2864675672],\n    [0.00000000025, 0.67881122439, 23937.856389741],\n    [0.00000000031, 1.72899093511, 13745.3462390224],\n    [0.00000000024, 0.20355912395, 3229.4257844122],\n    [0.00000000032, 3.37195631109, 2284.7536148596],\n];\n\nconst VSOP87_L2: Vsop87Element = [\n    [0.00058015791, 2.04979463279, 3340.6124266998],\n    [0.00054187645],\n    [0.00013908426, 2.45742359888, 6681.2248533996],\n    [0.00002465104, 2.80000020929, 10021.8372800994],\n    [0.00000398379, 3.14118428289, 13362.4497067992],\n    [0.00000222022, 3.19436080019, 3.523118349],\n    [0.00000120957, 0.54325292454, 155.4203994342],\n    [0.00000061517, 3.48529427371, 16703.062133499],\n    [0.00000053638, 3.54191121461, 3344.1355450488],\n    [0.00000034268, 6.00188499119, 2281.2304965106],\n    [0.00000031665, 4.14015171788, 191.4482661116],\n    [0.00000029839, 1.99870679845, 796.2980068164],\n    [0.00000023168, 4.33403365928, 242.728603974],\n    [0.00000021659, 3.44532466378, 398.1490034082],\n    [0.00000016044, 6.11000472441, 2146.1654164752],\n    [0.0000002037, 5.421913754, 553.5694028424],\n    [0.00000014927, 6.09541783564, 3185.1920272656],\n    [0.00000016227, 0.65678953303, 0.9803210682],\n    [0.00000014317, 2.61851897591, 1349.8674096588],\n    [0.00000014416, 4.01923812101, 951.7184062506],\n    [0.00000011934, 3.86122163021, 6684.7479717486],\n    [0.00000015648, 1.2208612194, 1748.016413067],\n    [0.0000001126, 4.71822363671, 2544.3144198834],\n    [0.00000013352, 0.60189008414, 1194.4470102246],\n    [0.00000010396, 0.25038714677, 382.8965322232],\n    [0.00000009468, 0.68170713564, 1059.3819301892],\n    [0.00000009229, 3.83209092321, 20043.6745601988],\n    [0.00000009005, 3.88271826102, 3738.761430108],\n    [0.00000007501, 5.46498630412, 1751.539531416],\n    [0.00000006497, 5.47773072872, 1592.5960136328],\n    [0.00000006311, 2.34104793674, 3097.88382272579],\n    [0.00000006859, 2.57522504136, 3149.1641605882],\n    [0.0000000587, 1.14783576679, 7.1135470008],\n    [0.00000006681, 2.37843690339, 4136.9104335162],\n    [0.00000004647, 4.42957708526, 6151.533888305],\n    [0.00000004166, 3.68631477611, 5614.7293762096],\n    [0.00000004764, 2.89684755585, 3333.498879699],\n    [0.00000004045, 6.12493402657, 5628.9564702112],\n    [0.00000003653, 4.06679068397, 1990.745017041],\n    [0.00000003618, 2.46868561769, 529.6909650946],\n    [0.00000003277, 0.68101740787, 8962.4553499102],\n    [0.00000003253, 2.7956534039, 3894.1818295422],\n    [0.00000003091, 4.56861203364, 3496.032826134],\n    [0.00000002921, 5.41458945995, 2914.0142358238],\n    [0.00000002921, 1.23050883841, 2787.0430238574],\n    [0.00000002784, 1.38911141844, 4292.3308329504],\n    [0.0000000262, 1.04061894134, 3341.592747768],\n    [0.00000002888, 3.41062353663, 3337.0893083508],\n    [0.00000002418, 0.96341462666, 4535.0594369244],\n    [0.00000002357, 4.84628239765, 9492.1463150048],\n    [0.00000002593, 5.74934234498, 3340.5951730476],\n    [0.00000002191, 3.26449527357, 213.299095438],\n    [0.00000002594, 1.49510566123, 3340.629680352],\n    [0.00000002344, 4.18104725028, 10025.3603984484],\n    [0.0000000263, 4.67640929857, 3583.3410306738],\n    [0.00000002602, 2.64911714813, 2388.8940204492],\n    [0.0000000183, 0.97181050149, 1589.0728952838],\n    [0.00000002416, 1.04749173375, 4399.994356889],\n    [0.00000002386, 4.2707257555, 7079.3738568078],\n    [0.00000002187, 0.16036551231, 6525.8044539654],\n    [0.00000002344, 0.01425578204, 4690.4798363586],\n    [0.00000001617, 4.95614491689, 5088.6288397668],\n    [0.00000001633, 1.10703599922, 12303.06777661],\n    [0.00000002126, 0.48290227706, 2700.7151403858],\n    [0.00000001629, 4.94267977718, 1221.8485663214],\n    [0.00000001504, 0.11031912519, 2957.7158944766],\n    [0.00000001759, 3.81170701376, 3723.508958923],\n    [0.00000001401, 3.85907867678, 6283.0758499914],\n    [0.00000001338, 5.29685392418, 6677.7017350506],\n    [0.00000001763, 2.51660121293, 2810.9214616052],\n    [0.00000001392, 2.73498041122, 7477.522860216],\n    [0.00000001431, 2.97747408389, 6489.776587288],\n    [0.00000001236, 3.7724596559, 2699.7348193176],\n    [0.00000001234, 1.88931735265, 6681.2421070518],\n    [0.00000001513, 2.92614134711, 640.8776073822],\n    [0.00000001234, 6.14168429036, 6681.2075997474],\n    [0.00000001408, 1.54395721611, 3347.7259737006],\n    [0.00000001038, 5.82880072933, 4933.2084403326],\n    [0.00000001156, 1.50825464304, 426.598190876],\n    [0.00000001362, 4.1779429752, 23384.2869868986],\n    [0.00000001135, 3.77506455273, 3870.3033917944],\n    [0.00000000916, 3.81726339298, 5092.1519581158],\n    [0.00000000853, 3.82520490669, 3340.545116397],\n    [0.00000001077, 5.0506282876, 5621.8429232104],\n    [0.00000001074, 3.8144692047, 3553.9115221378],\n    [0.00000000847, 3.41702696402, 3340.6797370026],\n    [0.0000000092, 1.91108056416, 3532.0606928114],\n    [0.00000000738, 4.25786145387, 9623.6882766912],\n    [0.00000000908, 4.12911006922, 162.4666361322],\n    [0.00000000647, 3.10301033831, 7234.794256242],\n    [0.000000008, 5.20674574801, 87.30820453981],\n    [0.00000000657, 1.57895580467, 2487.4160449478],\n    [0.0000000065, 2.78932995437, 574.3447983348],\n    [0.00000000659, 5.16655918817, 12832.7587417046],\n    [0.00000000712, 5.79288230676, 3339.6321056316],\n    [0.0000000066, 0.25125103909, 8969.568896911],\n    [0.00000000527, 4.62218528897, 10419.9862835076],\n    [0.00000000607, 3.84724721085, 5486.777843175],\n    [0.000000005, 4.66323134619, 6836.6452528338],\n    [0.00000000509, 0.32548381735, 8031.0922630584],\n    [0.00000000613, 1.72250879737, 7632.9432596502],\n    [0.00000000516, 1.37906978509, 7740.6067835888],\n    [0.00000000469, 1.31324778369, 7875.6718636242],\n    [0.00000000442, 5.34515135225, 10018.3141617504],\n    [0.00000000496, 4.49656852602, 692.1576012268],\n    [0.00000000544, 1.444653692, 15643.6802033098],\n    [0.00000000467, 1.40928870138, 6682.2051744678],\n    [0.00000000547, 4.42021065522, 5331.3574437408],\n    [0.00000000433, 1.25048504108, 4929.6853219836],\n    [0.00000000409, 3.80689273098, 6681.2921637024],\n    [0.00000000403, 1.5719023931, 6127.6554505572],\n    [0.00000000401, 4.59976459753, 7210.9158184942],\n    [0.00000000406, 0.60945437905, 11773.3768115154],\n    [0.00000000367, 0.97726583907, 6041.3275670856],\n    [0.00000000361, 0.13117924893, 639.897286314],\n    [0.00000000411, 4.21323421517, 6681.1575430968],\n    [0.00000000441, 4.49050100878, 13365.9728251482],\n    [0.00000000474, 5.1856252413, 2301.58581590939],\n    [0.00000000334, 2.21001303889, 10021.8545337516],\n    [0.0000000037, 5.02880065186, 6923.9534573736],\n    [0.00000000333, 0.18229887483, 10021.8200264472],\n    [0.00000000342, 2.49988747611, 6438.4962494256],\n    [0.0000000032, 1.3237447689, 2118.7638603784],\n    [0.0000000033, 2.98027481579, 5729.506447149],\n    [0.0000000034, 0.51409045792, 9866.4168806652],\n    [0.00000000283, 4.03219455446, 8955.3418029094],\n    [0.00000000281, 3.33891891806, 9830.3890139878],\n    [0.00000000271, 1.53144358045, 1039.0266107904],\n    [0.00000000252, 3.04356928941, 10818.1352869158],\n    [0.0000000027, 2.22972724035, 5828.0284716476],\n    [0.00000000259, 4.24406546278, 6894.5239488376],\n    [0.00000000237, 5.07818982743, 8429.2412664666],\n    [0.00000000263, 2.00552313665, 3767.2106175758],\n    [0.00000000241, 4.06396704332, 7064.1213856228],\n    [0.0000000025, 0.45422818547, 6298.3283211764],\n    [0.0000000024, 1.94655459341, 6688.3384004004],\n    [0.00000000209, 0.03043017984, 3914.9572250346],\n    [0.00000000218, 4.5320181825, 26724.8994135984],\n    [0.00000000246, 3.85272742042, 4562.4609930212],\n    [0.00000000254, 1.19313236635, 8432.7643848156],\n    [0.00000000231, 1.70340106651, 2942.4634232916],\n    [0.00000000209, 3.82345999055, 6467.9257579616],\n    [0.00000000175, 3.26444055581, 3981.490034082],\n    [0.0000000021, 3.55052707697, 10575.4066829418],\n    [0.00000000162, 5.95176683701, 310.8407988684],\n    [0.00000000165, 5.04267055142, 10177.2576795336],\n    [0.00000000198, 0.80464315638, 15113.9892382152],\n    [0.00000000188, 1.99007233842, 3127.3133312618],\n    [0.00000000188, 4.55406803143, 12964.300703391],\n    [0.00000000163, 2.14874886056, 10973.55568635],\n    [0.00000000154, 4.35708331036, 3360.96774609859],\n    [0.00000000169, 2.40504327781, 3355.8648978848],\n    [0.00000000164, 5.5387562097, 16173.3711684044],\n    [0.00000000144, 0.30186831602, 1903.4368125012],\n    [0.00000000161, 3.18977924032, 6674.1113063988],\n    [0.00000000135, 1.65570006128, 3325.3599555148],\n    [0.00000000143, 6.25825818399, 9595.2390892234],\n    [0.00000000158, 6.1425560834, 8273.8208670324],\n    [0.0000000017, 5.98413937993, 3320.257107301],\n    [0.00000000124, 1.74571336137, 11081.2192102886],\n    [0.00000000146, 2.22851709304, 3178.1457905676],\n    [0.00000000126, 5.02927593525, 3475.6775067352],\n    [0.00000000123, 4.99342648375, 13760.5987102074],\n    [0.00000000141, 4.5673581549, 10021.7699697966],\n    [0.00000000118, 5.42945437851, 13358.9265884502],\n    [0.00000000116, 4.22080571309, 5884.9268465832],\n    [0.00000000119, 4.09962692144, 10021.9045904022],\n    [0.00000000124, 1.79723243306, 18984.2926300096],\n    [0.00000000135, 1.00085140609, 18454.601664915],\n    [0.00000000106, 5.76342924005, 2288.3440435114],\n    [0.00000000103, 0.63812052706, 12310.1813236108],\n    [0.000000001, 4.3794694526, 9808.5381846614],\n    [0.00000000104, 4.01151451052, 13916.0191096416],\n    [0.00000000125, 4.94825577002, 10551.528245194],\n    [0.00000000098, 5.91086068785, 14584.2982731206],\n    [0.00000000126, 1.55752034021, 8270.2977486834],\n    [0.00000000098, 2.5286981053, 3191.0492295652],\n    [0.00000000095, 5.5080831162, 3319.8370312074],\n    [0.00000000108, 1.67115668669, 11216.284290324],\n    [0.0000000009, 1.71281301325, 1505.28780909299],\n    [0.00000000088, 0.42472333366, 11371.7046897582],\n    [0.00000000089, 4.83867235269, 16706.585251848],\n    [0.00000000106, 1.78998252916, 10022.8176011676],\n    [0.00000000087, 5.8960268815, 16858.4825329332],\n    [0.00000000085, 0.55423657166, 13362.432453147],\n    [0.00000000091, 1.61117547913, 24093.2767891752],\n    [0.00000000083, 0.55328893146, 3344.2028553516],\n    [0.00000000083, 1.06830368571, 3364.4908644476],\n    [0.00000000084, 6.22980173043, 3369.0616141676],\n    [0.00000000085, 2.58442459869, 13362.4669604514],\n    [0.00000000079, 3.08636079495, 2818.035008606],\n    [0.00000000077, 1.53791408869, 5459.3762870782],\n    [0.00000000075, 3.34890581175, 9070.1188738488],\n    [0.00000000097, 2.99973987655, 3316.733988952],\n    [0.00000000084, 5.55309637085, 3427.9206312396],\n    [0.00000000089, 4.16432726564, 6158.6474353058],\n    [0.00000000078, 3.7237573039, 13171.0014406876],\n    [0.00000000083, 0.11917380846, 3337.021998048],\n    [0.00000000073, 4.91632010974, 13362.3823964964],\n    [0.00000000076, 4.52961122356, 708.98980227659],\n    [0.00000000071, 5.37905772348, 10264.5658840734],\n    [0.00000000084, 1.93007660929, 9468.267877257],\n    [0.00000000073, 5.28498987702, 4845.9002357928],\n    [0.0000000008, 4.81193020727, 13149.1506113612],\n    [0.00000000076, 4.77873149036, 8671.9698704406],\n    [0.00000000069, 0.86312560839, 13207.029307365],\n    [0.0000000007, 1.22001285505, 2274.1169495098],\n    [0.0000000007, 0.53977528244, 13119.72110282519],\n    [0.0000000007, 0.09801356525, 1437.1756141986],\n    [0.00000000069, 2.23597403243, 7107.8230442756],\n    [0.00000000074, 0.67876411085, 16460.33352952499],\n    [0.00000000068, 0.5439361719, 12935.8515159232],\n    [0.00000000084, 5.1161735664, 13892.1406718938],\n    [0.00000000078, 5.27206373031, 853.196381752],\n    [0.00000000065, 4.74504626032, 6144.4203413042],\n    [0.00000000065, 2.89744951086, 7903.073419721],\n    [0.00000000089, 5.44755326514, 13517.8701062334],\n    [0.00000000073, 3.81554166604, 3503.079062832],\n    [0.00000000066, 0.47312197978, 3980.5097130138],\n    [0.00000000065, 1.38901912957, 3253.30422216],\n    [0.00000000086, 5.44050231013, 6816.289933435],\n    [0.00000000072, 3.44697351738, 14158.7477136156],\n    [0.00000000086, 4.50213985772, 13362.517017102],\n    [0.00000000074, 1.34701853675, 3361.3878221922],\n    [0.00000000076, 6.0400295943, 5085.038411115],\n    [0.00000000065, 0.07623776004, 5099.2655051166],\n    [0.00000000066, 2.0916071729, 14421.8316369884],\n    [0.00000000077, 2.75740817982, 19402.7969528166],\n    [0.00000000059, 3.61679189501, 7322.1024607818],\n    [0.0000000006, 4.67079289372, 10235.1363755374],\n    [0.00000000064, 6.17220244155, 9381.9399937854],\n    [0.00000000066, 0.35824154106, 7255.5696517344],\n    [0.00000000059, 4.52818219212, 9499.2598620056],\n    [0.00000000065, 1.86765892646, 11610.9101753832],\n    [0.00000000074, 3.12276411101, 1107.1388056848],\n    [0.0000000006, 1.35069679183, 19800.9459562248],\n    [0.00000000055, 0.64581579779, 6677.6344247478],\n    [0.00000000055, 0.65206957868, 7373.3824546264],\n    [0.00000000055, 0.41979092764, 9779.1086761254],\n    [0.00000000074, 3.8527624282, 2766.267628365],\n    [0.00000000056, 2.49261586879, 5642.1982426092],\n    [0.00000000055, 2.62555306434, 14314.1681130498],\n    [0.00000000054, 3.95212835807, 4032.7700279266],\n    [0.00000000055, 0.51062350773, 15110.4661198662],\n    [0.00000000053, 5.88757767795, 21265.5231265202],\n    [0.00000000051, 5.99253934388, 21947.1113727],\n    [0.00000000049, 5.16723732129, 20047.1976785478],\n    [0.00000000067, 1.53758821512, 9380.9596727172],\n    [0.00000000057, 5.34893894346, 17101.2111369072],\n    [0.00000000049, 1.9267860277, 12721.572099417],\n    [0.00000000046, 2.3159032048, 10028.9508271002],\n    [0.00000000052, 4.92463460288, 16304.9131300908],\n    [0.0000000005, 1.69803302925, 9225.539273283],\n    [0.00000000045, 2.91271003676, 8982.810669309],\n    [0.00000000044, 4.38728556203, 12168.0026965746],\n    [0.00000000047, 4.44933635857, 6872.6731195112],\n    [0.00000000043, 2.13295656057, 22324.9050567094],\n    [0.0000000005, 1.34759191325, 8439.8779318164],\n    [0.00000000044, 0.89037464728, 20752.6643624754],\n    [0.00000000041, 2.76164156557, 6696.4773245846],\n    [0.00000000042, 4.45031185062, 10404.7338123226],\n    [0.00000000044, 3.20262780268, 22743.4093795164],\n    [0.00000000042, 3.54559408987, 30376.3526391666],\n    [0.00000000042, 0.82118836477, 20597.2439630412],\n    [0.00000000052, 4.59037852162, 22345.2603761082],\n    [0.00000000042, 3.79872109079, 28628.3362260996],\n    [0.00000000041, 2.3625360208, 16062.1845261168],\n    [0.0000000005, 1.48377570574, 6040.3472460174],\n    [0.00000000041, 5.33088551342, 765.7930644464],\n    [0.00000000039, 1.57984331116, 24889.5747959916],\n    [0.00000000038, 0.21571600948, 9168.6408983474],\n    [0.00000000038, 3.47667842127, 1066.49547719],\n    [0.00000000052, 0.81427285458, 9638.9407478762],\n    [0.00000000041, 0.04356010851, 6660.8695340008],\n    [0.00000000046, 0.89345529755, 16703.0448798468],\n    [0.00000000044, 0.85335841824, 17468.8551979454],\n    [0.00000000039, 0.27098916103, 11614.4332937322],\n    [0.00000000036, 3.93388136028, 33716.9650658664],\n    [0.00000000047, 3.90896957151, 5244.049239201],\n    [0.00000000034, 2.37310468308, 10213.285546211],\n    [0.00000000034, 4.85454495742, 14469.588512484],\n    [0.00000000035, 1.96497348634, 6702.000248892],\n    [0.00000000033, 2.14488758889, 13363.4300278674],\n    [0.00000000046, 2.92422266239, 16703.07938715119],\n    [0.00000000035, 1.78692835372, 2648.454825473],\n    [0.00000000033, 4.24484480826, 8584.6616659008],\n    [0.00000000043, 6.09391349922, 6660.4494579072],\n    [0.00000000035, 5.72426647579, 16699.53901514999],\n    [0.00000000031, 1.95254273311, 6665.9723822146],\n    [0.00000000028, 5.88548900893, 19513.9835951042],\n    [0.0000000003, 4.38908125588, 12295.9542296092],\n    [0.00000000029, 6.25276686131, 17924.9106998204],\n    [0.00000000025, 4.89000247975, 30065.5118402982],\n    [0.00000000026, 2.43119321236, 6518.7582172674],\n    [0.00000000028, 3.97032105354, 4407.1079038898],\n    [0.00000000025, 1.88631752737, 4379.6390374902],\n    [0.00000000028, 3.06196380356, 6247.5131155228],\n    [0.00000000029, 5.98057498931, 6680.2445323314],\n    [0.00000000032, 4.65556810177, 6701.5801727984],\n    [0.00000000026, 0.76018385758, 3863.1898447936],\n    [0.00000000023, 0.31107548102, 8827.3902698748],\n    [0.00000000022, 1.11553014451, 6684.8152820514],\n    [0.0000000002, 4.81193192299, 15508.6151232744],\n    [0.00000000019, 5.11656455993, 12012.5822971404],\n    [0.00000000026, 1.07254469525, 8425.6508378148],\n    [0.00000000021, 2.68436255141, 6261.7402095244],\n    [0.00000000022, 2.15631095909, 3335.0895023924],\n    [0.00000000017, 0.03684125273, 3877.4169387952],\n    [0.00000000017, 2.84467149903, 3344.4937620578],\n    [0.0000000002, 5.41519706836, 3205.5473466644],\n];\n\nconst VSOP87_L3: Vsop87Element = [\n    [0.00001482423, 0.44434694876, 3340.6124266998],\n    [0.00000662095, 0.88469178686, 6681.2248533996],\n    [0.00000188268, 1.28799982497, 10021.8372800994],\n    [0.00000041474, 1.64850786997, 13362.4497067992],\n    [0.00000022661, 2.05267665262, 155.4203994342],\n    [0.00000025994],\n    [0.00000008024, 1.99858757687, 16703.062133499],\n    [0.00000010454, 1.58006906385, 3.523118349],\n    [0.000000049, 2.82452457966, 242.728603974],\n    [0.00000003782, 2.01914272515, 3344.1355450488],\n    [0.00000003176, 4.59144897927, 3185.1920272656],\n    [0.00000003134, 0.65044714325, 553.5694028424],\n    [0.00000001684, 5.53835848782, 951.7184062506],\n    [0.00000001511, 5.71795850828, 191.4482661116],\n    [0.00000001448, 0.45869142895, 796.2980068164],\n    [0.00000001442, 2.34368495577, 20043.6745601988],\n    [0.00000001302, 5.36284013048, 0.9803210682],\n    [0.00000001169, 4.14601161433, 1349.8674096588],\n    [0.00000001133, 2.38180830662, 6684.7479717486],\n    [0.00000001037, 1.76892750558, 382.8965322232],\n    [0.00000000894, 5.33688328934, 1194.4470102246],\n    [0.00000000807, 2.74798886181, 1748.016413067],\n    [0.0000000064, 6.10665147849, 3496.032826134],\n    [0.00000000558, 1.8521234236, 398.1490034082],\n    [0.00000000567, 5.85922384979, 7.1135470008],\n    [0.00000000647, 3.17645475605, 3583.3410306738],\n    [0.00000000452, 5.98109989317, 2787.0430238574],\n    [0.00000000508, 1.01139298015, 3149.1641605882],\n    [0.00000000519, 4.93376176788, 6525.8044539654],\n    [0.00000000405, 1.27295444059, 2281.2304965106],\n    [0.00000000399, 2.32888685659, 3738.761430108],\n    [0.00000000472, 0.84411483892, 4136.9104335162],\n    [0.00000000333, 5.42704539231, 1059.3819301892],\n    [0.00000000313, 3.70599897858, 3097.88382272579],\n    [0.00000000281, 5.74581724084, 3341.592747768],\n    [0.00000000287, 2.69304799864, 10025.3603984484],\n    [0.00000000237, 5.68519881994, 4535.0594369244],\n    [0.00000000215, 2.49494803822, 1990.745017041],\n    [0.0000000026, 2.67996877129, 23384.2869868986],\n    [0.00000000269, 1.10390153866, 2388.8940204492],\n    [0.00000000186, 4.86408411823, 2957.7158944766],\n    [0.00000000176, 3.86618588087, 1592.5960136328],\n    [0.00000000177, 0.85374318134, 3894.1818295422],\n    [0.00000000191, 4.58805692093, 3337.0893083508],\n    [0.00000000185, 5.8089931655, 4399.994356889],\n    [0.00000000143, 1.15592612974, 7477.522860216],\n    [0.00000000173, 2.70622920014, 7079.3738568078],\n    [0.00000000146, 1.37569151302, 6489.776587288],\n    [0.00000000121, 3.24333934982, 9492.1463150048],\n    [0.00000000116, 5.7163981953, 12303.06777661],\n    [0.00000000111, 2.69566947038, 6151.533888305],\n    [0.00000000103, 3.53587741373, 6923.9534573736],\n    [0.00000000097, 5.23712981002, 8962.4553499102],\n    [0.00000000089, 0.0595132422, 6127.6554505572],\n    [0.00000000093, 5.29818155587, 9866.4168806652],\n    [0.00000000084, 5.68544044325, 4292.3308329504],\n    [0.00000000091, 6.16223680965, 6682.2051744678],\n    [0.00000000081, 4.3272333062, 4933.2084403326],\n    [0.00000000077, 5.6318982417, 1589.0728952838],\n    [0.00000000102, 6.26937663026, 3347.7259737006],\n    [0.00000000076, 3.05724276091, 13365.9728251482],\n    [0.00000000063, 3.12770931753, 10419.9862835076],\n    [0.00000000062, 1.45647168723, 7234.794256242],\n    [0.00000000069, 4.82266605869, 6677.7017350506],\n    [0.00000000064, 1.73713448446, 3870.3033917944],\n    [0.00000000058, 4.85723088492, 5486.777843175],\n    [0.00000000058, 6.0984951679, 7875.6718636242],\n    [0.00000000063, 4.14716431158, 3340.5951730476],\n    [0.00000000065, 6.17932665318, 3340.629680352],\n    [0.00000000057, 1.48905992502, 5729.506447149],\n    [0.0000000006, 6.08710604997, 7740.6067835888],\n    [0.00000000056, 1.96253427165, 3553.9115221378],\n    [0.00000000059, 0.89874385953, 3339.6321056316],\n    [0.00000000053, 3.04776975379, 26724.8994135984],\n    [0.00000000061, 3.63390789623, 12832.7587417046],\n    [0.00000000059, 0.2298974604, 6681.2421070518],\n    [0.00000000053, 3.97996929188, 5092.1519581158],\n    [0.00000000059, 4.48255178273, 6681.2075997474],\n    [0.00000000045, 3.88055745121, 10264.5658840734],\n    [0.00000000058, 4.85371375265, 5621.8429232104],\n    [0.00000000049, 4.03623343126, 16173.3711684044],\n    [0.00000000061, 2.90942510134, 5331.3574437408],\n    [0.00000000043, 1.8099071834, 9830.3890139878],\n    [0.00000000044, 4.10828944542, 4690.4798363586],\n    [0.00000000044, 3.49332765553, 13760.5987102074],\n    [0.00000000048, 1.81207342615, 3723.508958923],\n    [0.00000000041, 1.59906754314, 10818.1352869158],\n    [0.00000000041, 2.05797417369, 6681.2921637024],\n    [0.00000000038, 3.38619280993, 16706.585251848],\n    [0.00000000041, 2.53336616026, 6681.1575430968],\n    [0.00000000041, 1.79026132252, 3340.545116397],\n    [0.0000000005, 4.7032478409, 8273.8208670324],\n    [0.00000000037, 3.37898394417, 30065.5118402982],\n    [0.00000000039, 2.65566008587, 6894.5239488376],\n    [0.00000000035, 2.58475025674, 9623.6882766912],\n    [0.00000000037, 6.07442797404, 4929.6853219836],\n    [0.00000000042, 3.04642561189, 12964.300703391],\n    [0.00000000037, 5.23784488646, 6298.3283211764],\n    [0.00000000043, 6.17835198533, 15643.6802033098],\n    [0.00000000034, 2.44806511268, 7210.9158184942],\n    [0.00000000038, 0.26295105909, 10022.8176011676],\n    [0.00000000028, 0.74281728305, 10021.8545337516],\n    [0.00000000028, 4.99536302577, 10021.8200264472],\n    [0.00000000034, 5.04118058624, 8969.568896911],\n    [0.00000000025, 2.59849002421, 8955.3418029094],\n    [0.0000000003, 1.14354290938, 2146.1654164752],\n    [0.00000000027, 0.26980783576, 18984.2926300096],\n    [0.00000000025, 0.39810308575, 6688.3384004004],\n    [0.00000000024, 5.64558695441, 13207.029307365],\n    [0.00000000027, 6.24398988438, 5088.6288397668],\n    [0.00000000024, 0.25455613132, 11081.2192102886],\n    [0.00000000023, 0.53673547304, 3333.498879699],\n    [0.00000000024, 1.80155161992, 6674.1113063988],\n    [0.00000000029, 4.3995350792, 10018.3141617504],\n    [0.00000000023, 2.91040060956, 10551.528245194],\n    [0.00000000022, 1.20895727897, 529.6909650946],\n    [0.00000000026, 0.08254324904, 7632.9432596502],\n    [0.00000000026, 1.81668969835, 6283.0758499914],\n    [0.00000000021, 0.67232850824, 6836.6452528338],\n    [0.00000000017, 5.19518401928, 2914.0142358238],\n    [0.00000000017, 5.16488977775, 8031.0922630584],\n    [0.00000000021, 3.62973082412, 5884.9268465832],\n    [0.00000000018, 5.06870872024, 2544.3144198834],\n    [0.00000000014, 2.50522181917, 7064.1213856228],\n    [0.00000000017, 0.4183559895, 9468.267877257],\n    [0.00000000011, 2.21363101654, 6438.4962494256],\n    [0.00000000013, 1.38424462832, 3340.6797370026],\n    [0.00000000012, 3.28248484262, 8671.9698704406],\n    [0.00000000014, 0.23027665815, 3767.2106175758],\n];\n\nconst VSOP87_L4: Vsop87Element = [\n    [0.00000113969, Math.PI],\n    [0.00000028725, 5.63662412043, 6681.2248533996],\n    [0.00000024447, 5.13868481454, 3340.6124266998],\n    [0.00000011187, 6.03161074431, 10021.8372800994],\n    [0.0000000319, 3.56267988299, 155.4203994342],\n    [0.00000003252, 0.13228350651, 13362.4497067992],\n    [0.00000000787, 0.49340783377, 16703.062133499],\n    [0.00000000776, 1.31734531594, 242.728603974],\n    [0.00000000494, 3.06356214498, 3185.1920272656],\n    [0.00000000374, 2.15785846355, 553.5694028424],\n    [0.00000000331, 6.23159792887, 3.523118349],\n    [0.00000000197, 0.44350153983, 3344.1355450488],\n    [0.00000000181, 0.81531283571, 20043.6745601988],\n    [0.00000000168, 3.73509781785, 3496.032826134],\n    [0.00000000086, 0.79259553758, 6684.7479717486],\n    [0.00000000115, 1.66898531261, 3583.3410306738],\n    [0.00000000092, 3.40530361815, 6525.8044539654],\n    [0.00000000064, 4.47443580658, 2787.0430238574],\n    [0.00000000045, 5.17216217058, 3097.88382272579],\n    [0.00000000041, 1.21875027733, 23384.2869868986],\n    [0.00000000036, 5.53975653407, 3149.1641605882],\n    [0.00000000039, 5.40966345885, 4136.9104335162],\n    [0.00000000028, 4.85378781404, 6127.6554505572],\n    [0.00000000027, 0.42811091036, 3738.761430108],\n    [0.00000000032, 1.22337093927, 10025.3603984484],\n    [0.00000000025, 1.56348878811, 26724.8994135984],\n    [0.00000000029, 2.40178626971, 3894.1818295422],\n    [0.00000000023, 4.16371253947, 3341.592747768],\n    [0.00000000022, 5.98429191667, 7477.522860216],\n    [0.00000000019, 2.03228980685, 6923.9534573736],\n    [0.0000000002, 3.79275573433, 9866.4168806652],\n    [0.00000000021, 4.27532111122, 6836.6452528338],\n    [0.00000000015, 1.56315497374, 13365.9728251482],\n    [0.00000000011, 1.33261955275, 2281.2304965106],\n    [0.00000000009, 6.15390464542, 6489.776587288],\n    [0.00000000007, 4.23894194106, 4535.0594369244],\n];\n\nconst VSOP87_L5: Vsop87Element = [\n    [0.0000000071, 4.04089996521, 6681.2248533996],\n    [0.00000000868, Math.PI],\n    [0.0000000051, 4.49214901625, 10021.8372800994],\n    [0.00000000357, 5.07435505061, 155.4203994342],\n    [0.00000000223, 3.51351884241, 3340.6124266998],\n    [0.00000000199, 4.85313666795, 13362.4497067992],\n    [0.000000001, 6.09089356066, 242.728603974],\n    [0.00000000069, 5.19017483537, 16703.062133499],\n    [0.00000000064, 1.55783055571, 3185.1920272656],\n    [0.00000000035, 3.68246171643, 553.5694028424],\n    [0.00000000025, 5.22079788019, 3496.032826134],\n    [0.00000000024, 0.17861991485, 3583.3410306738],\n    [0.00000000019, 5.5918471446, 20043.6745601988],\n    [0.00000000014, 5.95565787085, 23384.2869868986],\n    [0.00000000012, 1.93859256739, 6525.8044539654],\n];\n\nconst VSOP87_B0: Vsop87Element = [\n    [0.03197134986, 3.76832042432, 3340.6124266998],\n    [0.00298033234, 4.10616996243, 6681.2248533996],\n    [0.00289104742],\n    [0.00031365538, 4.44651052853, 10021.8372800994],\n    [0.000034841, 4.78812547889, 13362.4497067992],\n    [0.00000442999, 5.65233015876, 3337.0893083508],\n    [0.00000443401, 5.02642620491, 3344.1355450488],\n    [0.00000399109, 5.130568147, 16703.062133499],\n    [0.00000292506, 3.79290644595, 2281.2304965106],\n    [0.00000181982, 6.13648011704, 6151.533888305],\n    [0.00000163159, 4.26399626634, 529.6909650946],\n    [0.00000159678, 2.23194610246, 1059.3819301892],\n    [0.00000139323, 2.41796344238, 8962.4553499102],\n    [0.00000149297, 2.16501209917, 5621.8429232104],\n    [0.00000142686, 1.1821501611, 3340.5951730476],\n    [0.00000142685, 3.2129218082, 3340.629680352],\n    [0.00000082544, 5.36667872319, 6684.7479717486],\n    [0.0000007364, 5.09187524843, 398.1490034082],\n    [0.0000007266, 5.53775710437, 6283.0758499914],\n    [0.00000086377, 5.74429648412, 3738.761430108],\n    [0.00000083276, 5.98866315739, 6677.7017350506],\n    [0.00000060116, 3.67960808826, 796.2980068164],\n    [0.00000063111, 0.73049113369, 5884.9268465832],\n    [0.00000062338, 4.85071999184, 2942.4634232916],\n    [0.00000046951, 5.54339723804, 3340.545116397],\n    [0.00000046953, 5.13486627234, 3340.6797370026],\n    [0.0000004663, 5.47361665459, 20043.6745601988],\n    [0.00000045588, 2.13262507507, 2810.9214616052],\n    [0.00000041269, 0.20003189001, 9492.1463150048],\n    [0.00000047199, 4.52184736343, 3149.1641605882],\n    [0.0000003854, 4.08008443274, 4136.9104335162],\n    [0.00000033069, 4.06581918329, 1751.539531416],\n    [0.00000029694, 5.92218297386, 3532.0606928114],\n    [0.00000032736, 2.62071056958, 2914.0142358238],\n    [0.00000029521, 2.75342566734, 12303.06777661],\n    [0.00000028169, 2.06282533993, 5486.777843175],\n    [0.00000028618, 4.94710527914, 3870.3033917944],\n    [0.00000026603, 3.5508584402, 6681.2421070518],\n    [0.00000026603, 1.52008675291, 6681.2075997474],\n    [0.00000023336, 2.27624532707, 1589.0728952838],\n    [0.00000026052, 2.60064548916, 4399.994356889],\n    [0.00000022637, 2.27507466406, 1194.4470102246],\n    [0.00000018887, 6.04416196149, 7079.3738568078],\n    [0.00000014846, 3.41358603159, 5088.6288397668],\n    [0.00000019947, 2.67365368471, 8432.7643848156],\n    [0.00000014682, 5.89211938785, 9623.6882766912],\n    [0.00000014152, 2.42512744356, 3333.498879699],\n    [0.0000001331, 2.62839773036, 426.598190876],\n    [0.00000014008, 1.67425558329, 6254.6266625236],\n    [0.00000015104, 2.81013535571, 3496.032826134],\n    [0.00000013011, 5.70759434129, 10025.3603984484],\n    [0.0000001208, 1.51804981987, 3185.1920272656],\n    [0.00000013183, 0.04521207632, 10018.3141617504],\n    [0.00000011554, 5.5741897182, 191.4482661116],\n    [0.00000011196, 0.55829576311, 5092.1519581158],\n    [0.0000001153, 2.13314819584, 11773.3768115154],\n    [0.00000010435, 5.72414012635, 6467.9257579616],\n    [0.00000009846, 0.86942245495, 1592.5960136328],\n    [0.00000009761, 1.0934228866, 2544.3144198834],\n    [0.00000008754, 5.47281660412, 6681.2921637024],\n    [0.00000008937, 4.8379038561, 6489.776587288],\n    [0.00000008652, 4.72118876809, 213.299095438],\n    [0.00000008797, 2.86597575792, 3341.592747768],\n    [0.00000008384, 2.65895230037, 4535.0594369244],\n    [0.00000008213, 4.8260813471, 3553.9115221378],\n    [0.00000008799, 1.52910882795, 3339.6321056316],\n    [0.00000008103, 1.00994045172, 9225.539273283],\n    [0.00000008754, 5.88131160438, 6681.1575430968],\n    [0.00000007209, 4.41679446871, 7477.522860216],\n    [0.0000000856, 4.79003986337, 4690.4798363586],\n    [0.00000006087, 1.89071507516, 9595.2390892234],\n    [0.00000006974, 0.53246284561, 12832.7587417046],\n    [0.00000005584, 6.18909308524, 4292.3308329504],\n    [0.00000005038, 6.06393121994, 7210.9158184942],\n    [0.00000005126, 0.11856805, 4562.4609930212],\n    [0.00000004863, 1.33051301524, 3894.1818295422],\n    [0.00000005592, 3.97792577165, 3127.3133312618],\n    [0.00000004965, 5.74589127183, 1990.745017041],\n    [0.0000000553, 5.81711987294, 23384.2869868986],\n    [0.00000004184, 3.88899446923, 10021.8545337516],\n    [0.00000004184, 1.8582188554, 10021.8200264472],\n    [0.00000004685, 1.11750235736, 3319.8370312074],\n    [0.00000003954, 2.65573703692, 4929.6853219836],\n    [0.00000005174, 3.62343554596, 2700.7151403858],\n    [0.00000004639, 6.14089337232, 7.1135470008],\n    [0.00000004686, 3.27731664264, 3361.3878221922],\n    [0.00000004999, 3.09121636067, 15643.6802033098],\n    [0.00000003919, 2.96552252075, 7740.6067835888],\n    [0.00000003361, 1.85016770821, 2957.7158944766],\n    [0.00000004246, 4.1963927863, 2146.1654164752],\n    [0.00000004101, 6.22532797325, 10213.285546211],\n    [0.00000003124, 0.08536218671, 10419.9862835076],\n    [0.00000003079, 2.41163389513, 3344.2028553516],\n    [0.00000003093, 1.98041729732, 3337.021998048],\n    [0.00000003044, 4.38894419912, 1221.8485663214],\n    [0.00000002879, 2.93292197885, 2787.0430238574],\n    [0.00000003372, 4.45558202843, 6674.1113063988],\n    [0.0000000251, 4.06249795775, 6872.6731195112],\n    [0.00000002616, 1.23659420897, 4933.2084403326],\n    [0.00000003011, 4.33965766608, 2388.8940204492],\n    [0.00000003094, 2.40385309455, 2118.7638603784],\n    [0.00000002516, 2.30275910483, 3723.508958923],\n    [0.00000002192, 1.688775987, 639.897286314],\n    [0.00000002157, 6.07600403318, 9808.5381846614],\n    [0.00000002686, 2.38172448359, 15113.9892382152],\n    [0.00000002156, 2.87771528495, 6041.3275670856],\n    [0.00000002495, 3.87395320804, 7903.073419721],\n    [0.00000002253, 0.47469626036, 3475.6775067352],\n    [0.00000002443, 3.02632351975, 3767.2106175758],\n    [0.00000001937, 0.38000997629, 13358.9265884502],\n    [0.00000002213, 3.9198232636, 3205.5473466644],\n    [0.00000002385, 6.23883456815, 12964.300703391],\n    [0.00000001806, 2.38408432339, 11243.6858464208],\n    [0.00000002265, 1.8577388518, 6525.8044539654],\n    [0.00000001642, 1.86812936557, 6680.2445323314],\n    [0.00000001616, 3.39954231101, 8429.2412664666],\n    [0.00000001646, 0.73261192032, 2274.1169495098],\n    [0.0000000191, 6.04319894051, 13365.9728251482],\n    [0.00000001492, 2.9936092905, 7875.6718636242],\n    [0.00000001567, 1.76860259924, 382.8965322232],\n    [0.00000001459, 1.40571286543, 14584.2982731206],\n    [0.00000001527, 5.79343536555, 6894.5239488376],\n    [0.00000001409, 5.17099876287, 9830.3890139878],\n    [0.00000001665, 3.60183854165, 2288.3440435114],\n    [0.00000001616, 2.1944777548, 8827.3902698748],\n    [0.00000001746, 0.10485504333, 3583.3410306738],\n    [0.00000001637, 3.20410489018, 6682.2051744678],\n    [0.00000001269, 2.02253791623, 155.4203994342],\n    [0.00000001507, 5.80795976424, 1748.016413067],\n    [0.00000001296, 2.92899986522, 9381.9399937854],\n    [0.00000001291, 2.98932404463, 6836.6452528338],\n    [0.00000001377, 5.8098082145, 10021.9045904022],\n    [0.00000001357, 0.32856318286, 4032.7700279266],\n    [0.00000001377, 6.21830533138, 10021.7699697966],\n    [0.00000001227, 2.20421067322, 12935.8515159232],\n    [0.0000000108, 4.75502761725, 10818.1352869158],\n    [0.00000001016, 1.33950348904, 12566.1516999828],\n    [0.00000001083, 0.87622049125, 16173.3711684044],\n    [0.00000000957, 5.29505019432, 1066.49547719],\n    [0.00000001035, 2.44286811558, 1052.2683831884],\n    [0.00000001153, 4.73786864168, 8031.0922630584],\n    [0.00000001042, 1.73541825729, 3369.0616141676],\n    [0.00000000899, 1.87265511538, 3077.528503327],\n    [0.00000000892, 2.51347636401, 3603.6963500726],\n    [0.00000000904, 0.27361540197, 3325.3599555148],\n    [0.00000000883, 5.4653793674, 5614.7293762096],\n    [0.00000000949, 0.04595688771, 7064.1213856228],\n    [0.00000000872, 3.61205859852, 6702.000248892],\n    [0.00000000842, 5.61713543212, 8955.3418029094],\n    [0.00000000842, 0.57536275896, 3191.0492295652],\n    [0.00000000904, 4.11832249537, 3355.8648978848],\n    [0.00000001044, 2.6588954211, 3312.163239232],\n    [0.00000000807, 2.2644325982, 8969.568896911],\n    [0.00000001046, 6.11317298058, 5331.3574437408],\n    [0.00000000933, 0.82551054416, 3503.079062832],\n    [0.00000000946, 1.92368414869, 5628.9564702112],\n    [0.00000000978, 4.55697167317, 3097.88382272579],\n    [0.00000000846, 4.65096242323, 6438.4962494256],\n    [0.00000000901, 1.46788821922, 6660.4494579072],\n    [0.00000000739, 4.97716008834, 10014.7237330986],\n    [0.00000000762, 3.42576079312, 18984.2926300096],\n    [0.00000000934, 0.35014113954, 3264.3463554242],\n    [0.00000000894, 0.34991139502, 10551.528245194],\n    [0.00000000665, 6.05561837558, 7632.9432596502],\n    [0.00000000605, 4.68480399923, 5729.506447149],\n    [0.00000000593, 2.97207045977, 3178.1457905676],\n    [0.00000000617, 2.19529512598, 13362.432453147],\n    [0.00000000579, 3.32303439858, 11081.2192102886],\n    [0.00000000579, 2.31217959727, 6677.6344247478],\n    [0.00000000572, 4.27984088783, 6546.1597733642],\n    [0.00000000584, 4.51625727923, 1648.4467571974],\n    [0.00000000626, 4.60715188203, 2487.4160449478],\n    [0.00000000649, 2.17894376907, 6298.3283211764],\n    [0.00000000617, 4.22635718375, 13362.4669604514],\n    [0.0000000055, 3.11161314141, 6144.4203413042],\n    [0.00000000551, 3.27081871281, 6127.6554505572],\n    [0.00000000536, 0.18973312148, 3346.1353510072],\n    [0.00000000557, 6.13686769377, 26724.8994135984],\n    [0.00000000571, 5.6534146366, 2921.1277828246],\n    [0.00000000552, 5.75724124958, 149.5631971346],\n    [0.00000000638, 4.49647258906, 3.523118349],\n    [0.00000000552, 1.07795672495, 536.8045120954],\n    [0.00000000537, 4.19207200801, 3335.0895023924],\n    [0.00000000567, 2.62806466971, 2648.454825473],\n    [0.00000000641, 3.24534699403, 3347.7259737006],\n    [0.00000000546, 2.76744357149, 5459.3762870782],\n    [0.00000000556, 4.98610303145, 6531.661656265],\n    [0.00000000578, 2.74445077242, 6684.8152820514],\n    [0.00000000613, 3.01718810256, 8270.2977486834],\n    [0.00000000558, 5.89236366633, 6158.6474353058],\n    [0.00000000489, 4.59082197201, 522.5774180938],\n    [0.00000000445, 3.64293918046, 10713.9948813262],\n    [0.00000000539, 0.59284523316, 553.5694028424],\n    [0.00000000434, 1.99641894213, 26087.9031415742],\n    [0.00000000459, 4.84216944554, 1758.6530784168],\n    [0.00000000423, 3.77854586358, 6688.3384004004],\n    [0.00000000421, 3.10245838137, 8329.671610597],\n    [0.00000000421, 4.43540354818, 103.0927742186],\n    [0.00000000502, 3.0314151263, 3360.96774609859],\n    [0.00000000422, 5.99158563064, 242.728603974],\n    [0.00000000401, 2.06012045711, 3980.5097130138],\n    [0.0000000041, 5.85255605682, 3351.2490920496],\n    [0.00000000375, 2.5080334092, 6784.3176276182],\n    [0.00000000407, 0.3011732839, 16304.9131300908],\n    [0.00000000507, 1.350164178, 3320.257107301],\n    [0.00000000385, 1.06248122739, 7234.794256242],\n    [0.00000000519, 4.61705823333, 7373.3824546264],\n    [0.00000000401, 0.51161484292, 17085.9586657222],\n    [0.00000000371, 0.41707432281, 13760.5987102074],\n    [0.00000000476, 0.81142637639, 6816.289933435],\n    [0.00000000348, 3.36497054127, 8439.8779318164],\n    [0.00000000366, 6.05186692577, 3607.2194684216],\n    [0.00000000402, 2.67375675473, 18454.601664915],\n    [0.00000000439, 0.41122589061, 10404.7338123226],\n    [0.00000000412, 4.81039654306, 3329.97576135],\n    [0.00000000413, 0.21011211689, 13149.1506113612],\n    [0.00000000363, 2.19017574725, 9866.4168806652],\n    [0.00000000337, 5.46398740226, 6604.958782124],\n    [0.0000000034, 1.7339266228, 1692.1656695024],\n    [0.00000000344, 3.58310197017, 7107.8230442756],\n    [0.0000000042, 2.77274750272, 2906.900688823],\n    [0.00000000335, 2.02339633221, 3333.5661900018],\n    [0.00000000336, 2.78173647754, 4989.0591838972],\n    [0.00000000354, 5.41265456299, 951.7184062506],\n    [0.00000000328, 0.43464916253, 6923.9534573736],\n    [0.00000000422, 1.5759173708, 8273.8208670324],\n    [0.00000000324, 4.99165215532, 11371.7046897582],\n    [0.00000000351, 4.60766539695, 3074.005384978],\n    [0.00000000333, 4.86991808664, 3863.1898447936],\n    [0.00000000319, 1.44510282827, 11769.8536931664],\n    [0.00000000296, 5.25637576704, 76.2660712756],\n    [0.00000000349, 1.62483962938, 17924.9106998204],\n    [0.00000000293, 2.20643287367, 3347.6586633978],\n    [0.00000000315, 4.5522730677, 5828.0284716476],\n    [0.0000000028, 1.4213429154, 6606.4432548323],\n    [0.00000000336, 1.56854533505, 1581.959348283],\n    [0.00000000343, 0.27605726543, 10973.55568635],\n    [0.00000000271, 0.08314924409, 10235.1363755374],\n    [0.0000000028, 0.76436434398, 853.196381752],\n    [0.00000000317, 4.91466081381, 3443.7052009184],\n    [0.00000000257, 0.15709629188, 12168.0026965746],\n    [0.00000000237, 3.13380421805, 74.7815985673],\n    [0.00000000271, 1.83008759256, 3399.9862886134],\n    [0.00000000233, 3.20163702613, 10177.2576795336],\n    [0.00000000312, 0.28436027987, 13745.3462390224],\n    [0.00000000273, 4.53535816659, 3344.4937620578],\n    [0.00000000235, 0.67980074869, 17395.2197347258],\n    [0.00000000262, 3.84436620806, 9168.6408983474],\n    [0.00000000271, 4.94509131052, 692.1576012268],\n    [0.00000000254, 2.19491751584, 3281.2385647862],\n    [0.0000000022, 1.65400798925, 3546.797975137],\n    [0.00000000283, 5.57884389098, 3973.396166013],\n    [0.00000000229, 5.93153003758, 3364.4908644476],\n    [0.00000000223, 4.82744958322, 9779.1086761254],\n    [0.00000000222, 0.71788606092, 16699.53901514999],\n    [0.00000000219, 0.09831940529, 16706.585251848],\n    [0.00000000221, 1.66596576205, 10575.4066829418],\n    [0.00000000259, 1.10208840059, 1744.4259844152],\n    [0.00000000243, 1.52425310144, 14054.607308026],\n    [0.00000000273, 6.12932898811, 3336.7310913418],\n    [0.00000000232, 4.73422268172, 3316.733988952],\n    [0.0000000021, 5.97305256642, 419.4846438752],\n    [0.00000000213, 5.35378111313, 1596.1864422846],\n    [0.00000000197, 3.32400761027, 5085.038411115],\n    [0.00000000193, 0.90522037315, 14314.1681130498],\n    [0.00000000192, 2.63243342989, 433.7117378768],\n    [0.00000000188, 1.14983778034, 13892.1406718938],\n    [0.000000002, 4.79567916236, 6261.7402095244],\n    [0.00000000204, 2.3227216771, 13916.0191096416],\n    [0.00000000191, 5.08454560792, 2178.137722292],\n    [0.00000000191, 5.88821293073, 3340.19235060619],\n    [0.00000000236, 0.97341490472, 3230.4061054804],\n    [0.000000002, 3.60041329896, 3304.5845600224],\n    [0.00000000165, 2.91701234796, 3415.3940252671],\n    [0.00000000191, 4.7764733812, 3341.0325027934],\n    [0.00000000174, 2.20549134205, 10020.8569590312],\n    [0.00000000161, 2.64795288862, 3304.0070613956],\n    [0.00000000173, 3.54115285115, 10022.8176011676],\n    [0.00000000154, 2.45916882835, 12722.5524204852],\n    [0.0000000016, 1.73968020026, 3377.217792004],\n    [0.00000000196, 0.78013533938, 3376.6402933772],\n    [0.00000000153, 0.27328628499, 13362.3823964964],\n    [0.0000000019, 2.65143864216, 3657.0042963564],\n    [0.00000000172, 5.71092117488, 2384.3232707292],\n    [0.00000000157, 1.00235389487, 3209.0704650134],\n    [0.0000000015, 3.39592748537, 3472.1543883862],\n    [0.00000000165, 5.86551673354, 2803.8079146044],\n    [0.00000000154, 0.32136196834, 6665.9723822146],\n    [0.00000000178, 3.34059693754, 11216.284290324],\n    [0.00000000192, 0.66079944629, 3134.4268782626],\n    [0.00000000161, 2.87915391245, 4392.8808098882],\n    [0.00000000159, 3.72249746113, 13517.8701062334],\n    [0.00000000168, 0.55746622745, 110.2063212194],\n    [0.00000000158, 5.67248197213, 4407.1079038898],\n    [0.00000000161, 1.76789928464, 6709.6740408674],\n    [0.00000000158, 5.50643845256, 13171.0014406876],\n    [0.00000000129, 1.21297315367, 19513.9835951042],\n    [0.00000000173, 0.17070148373, 3024.2205570432],\n    [0.00000000132, 4.25407099272, 16858.4825329332],\n    [0.00000000125, 2.88510294667, 17256.6315363414],\n    [0.00000000124, 2.59724598646, 12310.1813236108],\n    [0.0000000017, 4.05945259741, 2818.035008606],\n    [0.00000000121, 5.23997785185, 9872.2740829648],\n    [0.00000000142, 3.02798835989, 3511.285297319],\n    [0.00000000165, 2.53171951288, 16276.463942623],\n    [0.00000000153, 6.14783670557, 13362.517017102],\n    [0.00000000119, 4.15694365082, 3760.097070575],\n    [0.0000000012, 0.64287725481, 4459.3682188026],\n    [0.0000000013, 4.9500230946, 13553.8979729108],\n    [0.0000000012, 0.17087854222, 8671.9698704406],\n    [0.00000000112, 0.16822264326, 135.0650800354],\n    [0.00000000137, 3.34809361979, 3341.0423098265],\n    [0.00000000125, 1.32195559043, 1349.8674096588],\n    [0.00000000111, 3.14151030451, 13524.9163429314],\n    [0.00000000119, 5.9536134805, 12295.9542296092],\n    [0.00000000131, 5.09769375731, 14158.7477136156],\n    [0.00000000141, 1.37128440708, 3169.9395560806],\n    [0.00000000112, 3.35831868034, 5989.0672521728],\n    [0.00000000104, 5.00696041032, 13119.72110282519],\n    [0.0000000011, 5.23317664736, 1375.7737998458],\n    [0.00000000105, 2.72692368303, 1162.4747044078],\n    [0.00000000104, 1.73769165705, 2221.856634597],\n    [0.00000000137, 1.0457695039, 3340.1825435731],\n    [0.00000000106, 6.13415161313, 162.4666361322],\n    [0.00000000119, 2.63312561442, 7321.1221397136],\n    [0.00000000105, 3.09551802365, 20618.0193585336],\n    [0.00000000099, 4.25515697974, 23539.7073863328],\n    [0.00000000108, 1.01854506729, 3265.8308281325],\n    [0.00000000119, 4.07277528003, 10184.3039162316],\n    [0.00000000096, 1.81122023425, 10001.061884607],\n    [0.00000000093, 3.58905885066, 5099.2655051166],\n    [0.00000000095, 4.94756054764, 3981.490034082],\n    [0.00000000094, 5.3749336802, 13355.3361597984],\n    [0.00000000095, 0.13037485775, 15508.6151232744],\n    [0.00000000103, 0.43484130196, 1861.7458526354],\n    [0.0000000009, 3.76370412628, 22324.9050567094],\n    [0.00000000091, 3.95041101283, 10042.6126755918],\n    [0.00000000106, 4.30186500383, 640.8776073822],\n    [0.00000000109, 6.18873749839, 1478.8665740644],\n    [0.00000000088, 1.79608901332, 6247.5131155228],\n    [0.00000000102, 5.58754073056, 2766.267628365],\n    [0.0000000011, 0.94707767481, 3274.1250177854],\n    [0.00000000084, 4.45487801845, 6696.4773245846],\n    [0.00000000085, 2.74791518135, 3407.0998356142],\n    [0.00000000087, 4.51145821088, 220.4126424388],\n    [0.00000000101, 5.94930983227, 8425.6508378148],\n    [0.00000000082, 0.01837230371, 9499.2598620056],\n    [0.0000000008, 0.4255098998, 18052.9295431578],\n    [0.00000000083, 2.96589752213, 6652.7756659318],\n    [0.0000000008, 4.61446168762, 3914.9572250346],\n    [0.00000000079, 1.50228636499, 2111.6503133776],\n    [0.00000000089, 3.52977975496, 9485.032768004],\n    [0.00000000086, 0.41976545794, 956.2891559706],\n    [0.00000000088, 5.46013317934, 16460.33352952499],\n    [0.00000000091, 2.09965252231, 949.1756089698],\n    [0.00000000104, 1.72206104768, 3296.8935143948],\n    [0.00000000103, 1.25691413032, 3384.3313390048],\n    [0.00000000084, 5.78647729498, 5518.7501489918],\n    [0.00000000079, 1.79313426804, 38.1330356378],\n    [0.00000000073, 0.10667695992, 29822.7832363242],\n    [0.00000000087, 2.11654357529, 3450.8187479192],\n    [0.00000000072, 3.89476829327, 9380.9596727172],\n    [0.00000000075, 2.5934030534, 1964.838626854],\n    [0.00000000098, 4.01577665825, 6843.6914895318],\n    [0.00000000074, 5.32032289064, 11766.2632645146],\n    [0.00000000068, 0.04775525953, 2125.8774073792],\n    [0.00000000069, 6.07427052412, 26482.1708096244],\n    [0.00000000069, 2.050189992, 29424.634232916],\n    [0.00000000084, 0.16960920719, 263.0839233728],\n    [0.00000000068, 5.03013252197, 9070.1188738488],\n    [0.00000000076, 2.00296087293, 224.3447957019],\n    [0.00000000078, 2.17362706851, 30220.9322397324],\n    [0.00000000066, 3.85497672006, 19406.6782881746],\n    [0.00000000066, 5.70059718737, 33561.5446664322],\n    [0.00000000067, 0.16600936321, 22743.4093795164],\n    [0.00000000065, 4.65423392949, 2807.3983432562],\n    [0.00000000069, 3.34387224268, 11670.2840372968],\n    [0.00000000087, 4.9783802188, 1118.7557921028],\n    [0.00000000063, 0.1890710618, 30065.5118402982],\n    [0.00000000064, 4.61909647015, 9886.772200064],\n    [0.00000000073, 0.93706647938, 20735.83216142559],\n    [0.0000000006, 5.83757395809, 8646.0634802536],\n    [0.00000000062, 4.81389895867, 20199.094959633],\n    [0.00000000059, 5.00150762621, 6414.6178116778],\n    [0.00000000068, 3.84252763135, 6571.0185321802],\n    [0.00000000062, 2.81689634717, 6944.3087767724],\n    [0.00000000065, 4.49078808776, 632.7837393132],\n    [0.00000000058, 5.64889513615, 9945.5712088238],\n    [0.0000000007, 2.51605694403, 9638.9407478762],\n    [0.00000000057, 3.28105791201, 206.1855484372],\n    [0.00000000057, 2.97448265957, 21795.21409161479],\n    [0.00000000056, 2.23565630779, 20995.3929664494],\n    [0.00000000057, 1.88614831237, 18451.07854656599],\n    [0.00000000071, 4.82445647307, 8542.970706035],\n    [0.00000000061, 3.659450739, 14421.8316369884],\n    [0.00000000056, 3.13789031275, 8799.988713778],\n    [0.00000000057, 4.89927831599, 9602.3526362242],\n    [0.00000000065, 3.37109873211, 11610.9101753832],\n    [0.00000000067, 1.92945007459, 21265.5231265202],\n    [0.00000000055, 1.95164531764, 9588.1255422226],\n    [0.00000000057, 2.82240075154, 10124.930054318],\n    [0.00000000057, 6.10407356832, 19800.9459562248],\n    [0.00000000055, 5.20976473824, 3237.5196524812],\n    [0.00000000057, 4.12235760406, 10028.9508271002],\n    [0.00000000055, 1.41700952855, 15906.7641266826],\n    [0.00000000053, 2.16328741039, 6418.1409300268],\n    [0.0000000006, 2.64683840328, 10018.2468514476],\n    [0.00000000068, 5.36539876845, 1228.9621133222],\n    [0.00000000051, 5.73824213507, 6048.4411140864],\n    [0.00000000053, 0.31937174553, 12721.572099417],\n    [0.00000000051, 0.06312524105, 20206.141196331],\n    [0.00000000049, 4.53401402385, 6675.7019290922],\n    [0.00000000051, 1.15475560534, 10156.9023601348],\n    [0.00000000064, 4.5633226877, 16703.07938715119],\n    [0.0000000006, 3.61007443614, 9468.267877257],\n    [0.00000000059, 3.08413561767, 10025.4277087512],\n    [0.00000000064, 2.53229538141, 16703.0448798468],\n    [0.00000000056, 3.31988072467, 6518.7582172674],\n    [0.00000000047, 1.44559165677, 6643.0918177618],\n    [0.0000000005, 1.92342238827, 11614.4332937322],\n    [0.00000000047, 4.03794177027, 23958.6317852334],\n    [0.00000000046, 3.70927352724, 8859.3625756916],\n    [0.0000000006, 2.55506470511, 11780.4903585162],\n    [0.00000000047, 1.69256878711, 6660.8695340008],\n    [0.00000000044, 6.09481217162, 6460.8122109608],\n    [0.00000000044, 2.6304062214, 13936.794505134],\n    [0.00000000053, 0.77878945764, 16865.5287696312],\n    [0.00000000049, 1.8336854455, 17654.7805397496],\n    [0.00000000048, 0.52828042378, 6686.747777707],\n    [0.00000000042, 4.30347553493, 9065.5481241288],\n    [0.00000000042, 5.71964550673, 7203.8022714934],\n    [0.00000000041, 0.98427208931, 20426.571092422],\n    [0.00000000051, 3.54335413699, 20597.2439630412],\n    [0.00000000041, 0.21219617682, 7314.0085927128],\n    [0.00000000038, 2.53074981011, 13207.029307365],\n    [0.00000000039, 5.15577369902, 6670.5881880498],\n    [0.00000000051, 3.25271478667, 7799.9806455024],\n    [0.00000000049, 0.77060706107, 17101.2111369072],\n    [0.00000000038, 6.06684699984, 9389.0535407862],\n    [0.00000000043, 0.51983815091, 16489.763038061],\n    [0.00000000036, 0.84102576439, 23937.856389741],\n];\n\nconst VSOP87_B1: Vsop87Element = [\n    [0.00350068845, 5.36847836211, 3340.6124266998],\n    [0.0001411603, Math.PI],\n    [0.00009670755, 5.47877786506, 6681.2248533996],\n    [0.00001471918, 3.20205766795, 10021.8372800994],\n    [0.00000425864, 3.40843812875, 13362.4497067992],\n    [0.00000102039, 0.77617286189, 3337.0893083508],\n    [0.00000078848, 3.71768293865, 16703.062133499],\n    [0.00000026171, 2.48293558065, 2281.2304965106],\n    [0.00000032708, 3.45803723682, 5621.8429232104],\n    [0.00000020712, 1.44120802297, 6151.533888305],\n    [0.00000018294, 6.03102943125, 529.6909650946],\n    [0.0000001568, 3.93075566599, 8962.4553499102],\n    [0.00000016975, 4.81115186866, 3344.1355450488],\n    [0.00000013067, 0.97324736181, 6677.7017350506],\n    [0.00000015622, 2.78241383265, 3340.5951730476],\n    [0.00000015622, 4.81318636318, 3340.629680352],\n    [0.00000013771, 1.67983063909, 3532.0606928114],\n    [0.00000012711, 4.04546734935, 20043.6745601988],\n    [0.00000014268, 0.24640247719, 2942.4634232916],\n    [0.00000012493, 2.25620513522, 5884.9268465832],\n    [0.000000088, 0.34079528233, 398.1490034082],\n    [0.00000008637, 1.75213704409, 2544.3144198834],\n    [0.00000008903, 5.95437916504, 2810.9214616052],\n    [0.00000008102, 0.84279830287, 6283.0758499914],\n    [0.0000000925, 4.35071778619, 3496.032826134],\n    [0.00000008085, 4.29614034209, 6684.7479717486],\n    [0.00000005811, 3.55479498415, 5092.1519581158],\n    [0.00000005864, 3.69652093329, 5486.777843175],\n    [0.00000005618, 0.03475872145, 3185.1920272656],\n    [0.00000005148, 0.85886443528, 3340.545116397],\n    [0.00000005145, 0.45169791514, 3340.6797370026],\n    [0.00000004898, 4.12922007874, 1059.3819301892],\n    [0.00000003471, 5.07253485267, 5088.6288397668],\n    [0.00000003102, 3.11487063736, 3339.6321056316],\n    [0.00000003013, 1.00910437496, 2914.0142358238],\n    [0.00000003171, 1.24730004776, 3738.761430108],\n    [0.00000003194, 2.86899092087, 1751.539531416],\n    [0.00000002304, 1.38460565999, 3870.3033917944],\n    [0.00000002233, 2.91238180064, 3894.1818295422],\n    [0.00000002792, 4.27117916474, 8432.7643848156],\n    [0.00000002431, 0.14615904873, 4690.4798363586],\n    [0.00000002577, 2.78651098185, 6254.6266625236],\n    [0.00000001996, 1.51200589223, 4292.3308329504],\n    [0.0000000186, 5.15222219319, 796.2980068164],\n    [0.00000002014, 5.48528849094, 3127.3133312618],\n    [0.00000001922, 4.37668623732, 23384.2869868986],\n    [0.00000002248, 4.46756441051, 10025.3603984484],\n    [0.00000001782, 2.70229954651, 4136.9104335162],\n    [0.00000001621, 2.26742355334, 3149.1641605882],\n    [0.00000001452, 1.53948251192, 9492.1463150048],\n    [0.00000001373, 3.20232312108, 2146.1654164752],\n    [0.00000001332, 5.6796683701, 1592.5960136328],\n    [0.00000001378, 4.12087865376, 3723.508958923],\n    [0.00000001215, 0.33914405698, 6674.1113063988],\n    [0.00000001168, 3.52407129935, 11773.3768115154],\n    [0.00000001179, 6.15475441355, 213.299095438],\n    [0.00000001173, 1.2603660844, 3341.592747768],\n    [0.00000001211, 0.97241747335, 6467.9257579616],\n    [0.00000001204, 0.95200561837, 10018.3141617504],\n    [0.00000001107, 1.44142157852, 2787.0430238574],\n    [0.00000001194, 0.84501638145, 1194.4470102246],\n    [0.00000001043, 3.98123209815, 12303.06777661],\n    [0.00000001029, 1.21951732572, 4535.0594369244],\n    [0.00000000939, 2.99716248257, 7477.522860216],\n    [0.00000001303, 1.12409937702, 4399.994356889],\n    [0.00000001032, 4.26592917807, 1990.745017041],\n    [0.0000000123, 0.37904885593, 6525.8044539654],\n    [0.00000000989, 2.37220445455, 9225.539273283],\n    [0.00000000946, 3.14940196742, 6489.776587288],\n    [0.00000001013, 5.90131661122, 3097.88382272579],\n    [0.00000000913, 2.86098924372, 2388.8940204492],\n    [0.00000000954, 4.90448639106, 3583.3410306738],\n    [0.00000000866, 4.92421595837, 6681.2421070518],\n    [0.00000000797, 4.53307543814, 7079.3738568078],\n    [0.00000000866, 2.89344915945, 6681.2075997474],\n    [0.00000000659, 0.33901474348, 2957.7158944766],\n    [0.0000000067, 3.23650405278, 9595.2390892234],\n    [0.00000000782, 1.56739177814, 3333.498879699],\n    [0.00000000641, 4.4691872125, 6836.6452528338],\n    [0.00000000611, 3.97393774087, 6041.3275670856],\n    [0.00000000738, 3.7871562478, 4562.4609930212],\n    [0.00000000558, 2.92718433901, 1589.0728952838],\n    [0.00000000513, 0.96852780537, 9623.6882766912],\n    [0.00000000508, 4.07262127921, 7.1135470008],\n    [0.00000000512, 1.53960708348, 7740.6067835888],\n    [0.00000000481, 3.51023225206, 155.4203994342],\n    [0.00000000528, 6.0619072177, 4933.2084403326],\n    [0.00000000558, 2.09491968451, 2288.3440435114],\n    [0.00000000445, 3.4243988628, 6680.2445323314],\n    [0.00000000482, 4.73460866232, 13365.9728251482],\n    [0.00000000534, 4.88536251621, 3361.3878221922],\n    [0.0000000052, 6.19100285186, 6438.4962494256],\n    [0.00000000441, 1.82408206251, 3325.3599555148],\n    [0.00000000487, 2.72879191049, 3319.8370312074],\n    [0.00000000417, 4.48716253276, 7903.073419721],\n    [0.0000000043, 0.62845892205, 5614.7293762096],\n    [0.00000000395, 4.89021898045, 10419.9862835076],\n    [0.0000000038, 1.91138845097, 3553.9115221378],\n    [0.00000000358, 4.21584518245, 426.598190876],\n    [0.00000000409, 4.53421956625, 3360.96774609859],\n    [0.00000000426, 5.47172830908, 3205.5473466644],\n    [0.0000000033, 1.00078638665, 8955.3418029094],\n    [0.00000000322, 2.42607399606, 2274.1169495098],\n    [0.00000000316, 3.2206408943, 1221.8485663214],\n    [0.00000000312, 3.66073476074, 3337.021998048],\n    [0.0000000031, 4.09100416919, 3344.2028553516],\n    [0.00000000295, 2.87635162282, 7210.9158184942],\n    [0.00000000329, 5.64440592793, 12832.7587417046],\n    [0.00000000306, 1.52567836482, 7875.6718636242],\n    [0.00000000284, 0.56373187712, 6681.2921637024],\n    [0.00000000358, 4.21258737082, 1052.2683831884],\n    [0.00000000347, 1.52200237477, 10213.285546211],\n    [0.00000000268, 3.57749600251, 9830.3890139878],\n    [0.00000000346, 1.65247014273, 6682.2051744678],\n    [0.00000000269, 4.4518241708, 9381.9399937854],\n    [0.00000000285, 0.97118840317, 6681.1575430968],\n    [0.00000000256, 3.67744143301, 1066.49547719],\n    [0.00000000269, 1.78448639785, 6127.6554505572],\n    [0.00000000312, 4.63751658715, 5331.3574437408],\n    [0.00000000317, 6.15274242841, 3320.257107301],\n    [0.00000000245, 4.71030710599, 26724.8994135984],\n    [0.00000000249, 3.31328995337, 10818.1352869158],\n    [0.0000000024, 4.87364672707, 6144.4203413042],\n    [0.00000000239, 1.35709001659, 7064.1213856228],\n    [0.00000000237, 3.19837233399, 5729.506447149],\n    [0.00000000278, 1.5084206034, 4929.6853219836],\n    [0.00000000274, 3.61160906396, 191.4482661116],\n    [0.00000000248, 3.93789974497, 11243.6858464208],\n    [0.00000000242, 2.57630671866, 3355.8648978848],\n    [0.00000000241, 1.89683861728, 15643.6802033098],\n    [0.00000000228, 0.71217112323, 9866.4168806652],\n    [0.00000000246, 0.16913226579, 2700.7151403858],\n    [0.00000000219, 0.03864812268, 522.5774180938],\n    [0.00000000215, 3.44260776071, 8827.3902698748],\n    [0.00000000206, 5.23615052385, 6923.9534573736],\n    [0.00000000202, 0.60277862639, 10021.8200264472],\n    [0.00000000226, 2.4333250327, 8429.2412664666],\n    [0.00000000202, 2.63373646725, 10021.8545337516],\n    [0.00000000199, 3.26545613445, 382.8965322232],\n    [0.00000000198, 4.50685315424, 242.728603974],\n    [0.00000000215, 2.12744795327, 553.5694028424],\n    [0.00000000177, 3.92599588022, 8031.0922630584],\n    [0.00000000162, 3.94498519498, 2921.1277828246],\n    [0.00000000199, 4.22948972595, 3312.163239232],\n    [0.00000000188, 0.67072289565, 6298.3283211764],\n    [0.0000000016, 2.90951395323, 6872.6731195112],\n    [0.00000000155, 1.24529852403, 3364.4908644476],\n    [0.00000000186, 2.44723831367, 3503.079062832],\n    [0.00000000139, 5.7549355704, 7632.9432596502],\n    [0.00000000149, 0.49665393273, 8969.568896911],\n    [0.00000000132, 4.97828413367, 1748.016413067],\n    [0.0000000013, 0.66881298338, 10014.7237330986],\n    [0.00000000128, 2.80753554051, 14584.2982731206],\n    [0.00000000176, 2.37291314099, 2118.7638603784],\n    [0.00000000127, 1.76223414864, 11081.2192102886],\n    [0.00000000127, 0.26234206855, 13358.9265884502],\n    [0.00000000163, 5.83356697025, 639.897286314],\n    [0.00000000129, 2.02607662846, 3346.1353510072],\n    [0.00000000155, 1.5718930764, 3767.2106175758],\n    [0.00000000133, 4.20989922795, 11371.7046897582],\n    [0.00000000114, 2.12636383988, 6688.3384004004],\n    [0.0000000013, 1.33114943655, 3347.7259737006],\n    [0.0000000011, 5.78893316282, 16173.3711684044],\n    [0.00000000105, 3.27202438053, 15113.9892382152],\n    [0.00000000117, 5.66812806862, 536.8045120954],\n    [0.00000000106, 1.21268139587, 7234.794256242],\n    [0.00000000108, 0.94652521237, 9808.5381846614],\n    [0.00000000121, 4.22204758443, 6158.6474353058],\n    [0.00000000124, 4.92495255567, 12964.300703391],\n    [0.00000000142, 3.85764234922, 6894.5239488376],\n    [0.00000000099, 5.62543167, 10973.55568635],\n    [0.000000001, 2.56456804207, 3178.1457905676],\n    [0.00000000131, 0.08971075365, 8273.8208670324],\n    [0.00000000112, 3.14240135508, 3316.733988952],\n    [0.00000000095, 0.64723185059, 2487.4160449478],\n    [0.00000000087, 4.14322802003, 3603.6963500726],\n    [0.00000000087, 3.50260474148, 3077.528503327],\n    [0.00000000096, 5.13010621713, 3304.5845600224],\n    [0.00000000082, 4.87880877413, 5828.0284716476],\n    [0.00000000083, 2.04400907684, 18984.2926300096],\n    [0.00000000085, 3.33671991814, 1758.6530784168],\n    [0.00000000099, 3.28955694324, 17654.7805397496],\n    [0.00000000078, 0.89238228021, 2699.7348193176],\n    [0.00000000095, 0.32948273562, 3863.1898447936],\n    [0.00000000083, 0.80327899268, 5085.038411115],\n    [0.00000000091, 1.48623539837, 8270.2977486834],\n    [0.00000000075, 4.91191036053, 10021.7699697966],\n    [0.00000000079, 4.25171159471, 7373.3824546264],\n    [0.00000000084, 2.16662156833, 12566.1516999828],\n    [0.00000000088, 2.78893554858, 11769.8536931664],\n    [0.00000000095, 0.29428946155, 5628.9564702112],\n    [0.00000000076, 5.23354729169, 13760.5987102074],\n    [0.00000000092, 1.40883592065, 3336.7310913418],\n    [0.00000000069, 3.5047791691, 10713.9948813262],\n    [0.00000000079, 0.61833410504, 951.7184062506],\n    [0.0000000007, 1.93458925881, 3475.6775067352],\n    [0.00000000066, 5.01996258363, 16706.585251848],\n    [0.00000000067, 3.68731475523, 4032.7700279266],\n    [0.00000000071, 1.71691035008, 10575.4066829418],\n    [0.00000000086, 1.82073461894, 10404.7338123226],\n    [0.00000000064, 2.43149744819, 2648.454825473],\n    [0.00000000062, 0.25250107112, 3980.5097130138],\n    [0.00000000062, 3.1642052001, 13517.8701062334],\n    [0.00000000078, 1.41762772678, 3.523118349],\n    [0.00000000086, 3.34935714534, 1581.959348283],\n    [0.00000000064, 3.75812808116, 1596.1864422846],\n    [0.00000000061, 1.37421861116, 419.4846438752],\n    [0.00000000055, 1.11154560464, 433.7117378768],\n    [0.00000000061, 5.33515994167, 853.196381752],\n    [0.00000000059, 0.8038238079, 13362.432453147],\n    [0.00000000055, 0.37478855406, 149.5631971346],\n    [0.00000000053, 0.55329112916, 14314.1681130498],\n    [0.00000000059, 0.07234691744, 6531.661656265],\n    [0.00000000059, 2.83458587563, 13362.4669604514],\n    [0.00000000059, 4.13409540555, 4407.1079038898],\n    [0.00000000057, 5.57913927474, 3376.6402933772],\n    [0.00000000049, 4.58036235824, 10551.528245194],\n    [0.0000000005, 2.01769015785, 10022.8176011676],\n    [0.00000000055, 1.36081433917, 21393.5419698576],\n    [0.00000000048, 1.59939595487, 18052.9295431578],\n    [0.00000000045, 4.97928157994, 8671.9698704406],\n    [0.00000000044, 2.58542985685, 13916.0191096416],\n    [0.00000000047, 1.40206686464, 8425.6508378148],\n    [0.00000000043, 0.21864618144, 9779.1086761254],\n    [0.00000000042, 6.22365857047, 3914.9572250346],\n    [0.00000000048, 3.44104044998, 692.1576012268],\n    [0.00000000043, 3.21191030055, 6247.5131155228],\n    [0.00000000055, 4.013214817, 10177.2576795336],\n    [0.00000000053, 2.9328571132, 3981.490034082],\n    [0.00000000039, 5.54634215618, 6702.000248892],\n    [0.00000000041, 2.46188112193, 6660.4494579072],\n    [0.00000000049, 3.0423606533, 640.8776073822],\n    [0.00000000039, 1.62689158397, 3335.0895023924],\n    [0.00000000038, 3.31198341709, 1744.4259844152],\n    [0.00000000038, 6.16317067723, 2818.035008606],\n    [0.00000000038, 4.03534957207, 103.0927742186],\n    [0.00000000044, 0.91040525278, 5459.3762870782],\n    [0.00000000049, 1.88325571471, 11216.284290324],\n    [0.00000000046, 5.62762941168, 9168.6408983474],\n    [0.00000000035, 1.65976191407, 12168.0026965746],\n    [0.00000000047, 4.52334272666, 10021.9045904022],\n    [0.00000000039, 2.08367076229, 13745.3462390224],\n    [0.00000000039, 4.76186135572, 20597.2439630412],\n    [0.00000000039, 3.00951950244, 3344.4937620578],\n    [0.00000000037, 1.33065895739, 12295.9542296092],\n    [0.0000000004, 3.96893429107, 13171.0014406876],\n    [0.00000000032, 0.91212661789, 12310.1813236108],\n    [0.00000000032, 2.22618836835, 7107.8230442756],\n    [0.00000000032, 4.9607870365, 24734.1543965574],\n    [0.00000000037, 3.30085609301, 20995.3929664494],\n    [0.00000000033, 3.70858397913, 10020.8569590312],\n    [0.00000000031, 4.18674524484, 17256.6315363414],\n    [0.00000000034, 3.25657016622, 14054.607308026],\n    [0.00000000032, 5.75360661734, 6546.1597733642],\n    [0.00000000031, 3.16209740784, 12935.8515159232],\n    [0.00000000037, 2.14901622101, 6665.9723822146],\n    [0.0000000003, 0.21926429217, 6660.8695340008],\n    [0.0000000003, 3.55459460301, 9070.1188738488],\n    [0.00000000029, 2.97927335664, 2766.267628365],\n    [0.00000000029, 4.65051930186, 10235.1363755374],\n    [0.0000000003, 5.168824354, 16304.9131300908],\n    [0.00000000032, 5.01760544488, 3191.0492295652],\n    [0.00000000029, 2.93988761068, 6696.4773245846],\n    [0.00000000029, 5.06447742493, 5099.2655051166],\n    [0.00000000029, 5.68073325802, 3329.97576135],\n    [0.00000000029, 0.43949269085, 3351.2490920496],\n    [0.00000000032, 1.37056688814, 6040.3472460174],\n    [0.00000000032, 1.42334455474, 76.2660712756],\n    [0.00000000033, 0.36423446435, 6604.958782124],\n    [0.00000000033, 4.85478789063, 6701.5801727984],\n    [0.0000000003, 3.33348460172, 3369.0616141676],\n    [0.00000000028, 0.60182098585, 11766.2632645146],\n    [0.00000000026, 1.05197848649, 13207.029307365],\n    [0.00000000026, 5.03535225585, 30065.5118402982],\n    [0.00000000034, 3.65553061498, 14158.7477136156],\n    [0.00000000025, 4.60925601393, 8329.671610597],\n    [0.00000000025, 2.05970140678, 17395.2197347258],\n    [0.0000000003, 5.22285260441, 9485.032768004],\n    [0.00000000025, 4.84964369679, 1648.4467571974],\n    [0.00000000026, 5.47626814223, 3074.005384978],\n    [0.00000000024, 2.45239543931, 17085.9586657222],\n    [0.00000000029, 5.36428737888, 2707.8286873866],\n    [0.00000000024, 5.574885448, 10264.5658840734],\n    [0.00000000025, 4.22744782935, 1692.1656695024],\n    [0.00000000023, 6.09244870438, 20199.094959633],\n    [0.00000000028, 1.30366587075, 8439.8779318164],\n    [0.00000000032, 2.13597148493, 9468.267877257],\n];\n\nconst VSOP87_B2: Vsop87Element = [\n    [0.0001672669, 0.60221392419, 3340.6124266998],\n    [0.00004986799, Math.PI],\n    [0.00000302141, 5.55871276021, 6681.2248533996],\n    [0.00000025767, 1.89662673499, 13362.4497067992],\n    [0.00000021452, 0.91749968618, 10021.8372800994],\n    [0.0000001182, 2.242407387, 3337.0893083508],\n    [0.00000007985, 2.24892866611, 16703.062133499],\n    [0.0000000296, 5.89425825808, 3496.032826134],\n    [0.00000002445, 5.18770525274, 5621.8429232104],\n    [0.00000001428, 1.2523814058, 2281.2304965106],\n    [0.00000001779, 2.5875996852, 20043.6745601988],\n    [0.00000001501, 3.18533003542, 3532.0606928114],\n    [0.00000001259, 4.80695172904, 3185.1920272656],\n    [0.00000001029, 2.35029907056, 6677.7017350506],\n    [0.00000001109, 3.80982317372, 5884.9268465832],\n    [0.00000000928, 0.29719160927, 3344.1355450488],\n    [0.0000000086, 3.1169831893, 6151.533888305],\n    [0.00000000853, 1.33003321402, 529.6909650946],\n    [0.00000000883, 5.18681316017, 5486.777843175],\n    [0.000000011, 1.82962075794, 2942.4634232916],\n    [0.00000000815, 3.40910567373, 2544.3144198834],\n    [0.00000000702, 5.49076132554, 8962.4553499102],\n    [0.00000000644, 0.31400306761, 5088.6288397668],\n    [0.00000000745, 4.30248377111, 3340.5951730476],\n    [0.00000000586, 4.48071459693, 3894.1818295422],\n    [0.00000000681, 5.40951261308, 2810.9214616052],\n    [0.00000000745, 0.05006463495, 3340.629680352],\n    [0.00000000542, 4.68895461946, 3339.6321056316],\n    [0.00000000497, 4.65665197749, 5092.1519581158],\n    [0.0000000046, 1.0667034361, 3097.88382272579],\n    [0.00000000423, 3.08034568777, 4292.3308329504],\n    [0.00000000381, 2.2493311519, 6283.0758499914],\n    [0.00000000429, 1.70668733378, 4690.4798363586],\n    [0.00000000339, 2.92195933142, 23384.2869868986],\n    [0.0000000031, 5.63324402105, 3723.508958923],\n    [0.00000000287, 1.98619629868, 398.1490034082],\n    [0.00000000298, 2.58990636818, 6684.7479717486],\n    [0.00000000323, 5.1523014439, 6525.8044539654],\n    [0.00000000247, 2.36923535528, 3340.545116397],\n    [0.00000000247, 1.96071951597, 3340.6797370026],\n    [0.00000000223, 4.75562842441, 2146.1654164752],\n    [0.0000000024, 3.53331653789, 3583.3410306738],\n    [0.00000000238, 4.69268478666, 6254.6266625236],\n    [0.00000000198, 6.21548965568, 2787.0430238574],\n    [0.00000000202, 4.25439775032, 3333.498879699],\n    [0.00000000158, 1.89216973387, 6674.1113063988],\n    [0.00000000185, 2.99350590687, 10025.3603984484],\n    [0.00000000177, 1.41002572971, 6438.4962494256],\n    [0.00000000138, 1.23172102079, 3127.3133312618],\n    [0.00000000153, 5.93528616595, 6836.6452528338],\n    [0.00000000106, 5.35414400998, 3738.761430108],\n    [0.00000000102, 3.67040445208, 1059.3819301892],\n    [0.00000000136, 1.06039656714, 2388.8940204492],\n    [0.00000000093, 5.04434801864, 155.4203994342],\n    [0.00000000093, 2.7081739491, 8955.3418029094],\n    [0.00000000108, 6.13917250674, 1748.016413067],\n    [0.00000000116, 5.9773948353, 2914.0142358238],\n    [0.00000000099, 1.50221319099, 1751.539531416],\n    [0.00000000092, 2.68470906437, 1990.745017041],\n    [0.00000000077, 4.01966292109, 1592.5960136328],\n    [0.00000000076, 4.49660101731, 4562.4609930212],\n    [0.00000000076, 5.67354102576, 6041.3275670856],\n    [0.00000000078, 0.79220883728, 2288.3440435114],\n    [0.00000000074, 5.84795427965, 3341.592747768],\n    [0.0000000008, 5.48556941416, 8432.7643848156],\n    [0.00000000065, 2.11705931744, 10018.3141617504],\n    [0.00000000066, 5.08073805943, 2957.7158944766],\n    [0.00000000059, 3.79695096075, 6923.9534573736],\n    [0.00000000061, 4.51116100631, 4933.2084403326],\n    [0.00000000059, 0.27765984344, 6127.6554505572],\n    [0.00000000052, 5.84885902302, 4535.0594369244],\n    [0.00000000051, 1.45495904398, 7477.522860216],\n    [0.00000000054, 1.50278239577, 6489.776587288],\n    [0.00000000056, 5.23212313891, 9866.4168806652],\n    [0.00000000057, 4.73711357046, 2274.1169495098],\n    [0.00000000051, 2.48654805044, 6467.9257579616],\n    [0.00000000047, 3.25899585469, 26724.8994135984],\n    [0.00000000048, 1.12255878532, 1349.8674096588],\n    [0.00000000048, 2.87122326236, 242.728603974],\n    [0.00000000045, 1.61358524585, 5729.506447149],\n    [0.00000000043, 2.2433473149, 7.1135470008],\n    [0.00000000044, 4.61065704096, 11773.3768115154],\n    [0.00000000042, 3.32038536161, 13365.9728251482],\n    [0.00000000047, 5.10736479739, 8969.568896911],\n    [0.00000000044, 4.64194663616, 4399.994356889],\n    [0.00000000039, 5.45779680648, 8031.0922630584],\n    [0.00000000044, 5.2140954242, 4136.9104335162],\n    [0.00000000045, 4.2620606379, 796.2980068164],\n    [0.00000000048, 3.04342098072, 5331.3574437408],\n    [0.00000000042, 2.12882700518, 213.299095438],\n    [0.00000000038, 2.49365585516, 951.7184062506],\n    [0.00000000037, 3.44816851943, 3325.3599555148],\n    [0.00000000038, 3.1398138598, 3149.1641605882],\n    [0.00000000039, 3.6498494618, 553.5694028424],\n    [0.00000000036, 0.54858124109, 7632.9432596502],\n    [0.00000000032, 4.29985057106, 3355.8648978848],\n    [0.00000000037, 6.26349600634, 6682.2051744678],\n    [0.00000000037, 3.83188032092, 3870.3033917944],\n    [0.00000000031, 4.94959395405, 6680.2445323314],\n    [0.00000000035, 6.14813219827, 3360.96774609859],\n    [0.00000000029, 0.54115054572, 6681.2921637024],\n    [0.00000000035, 1.49899662719, 3320.257107301],\n    [0.00000000033, 0.19183878029, 3347.7259737006],\n    [0.00000000036, 3.28055425527, 1589.0728952838],\n    [0.00000000031, 5.66015228291, 1066.49547719],\n    [0.00000000028, 4.1817845554, 7210.9158184942],\n    [0.00000000025, 1.21627749818, 9492.1463150048],\n    [0.00000000029, 2.02283118033, 7234.794256242],\n    [0.00000000024, 2.96777681837, 7064.1213856228],\n    [0.00000000024, 2.16823248221, 10419.9862835076],\n    [0.00000000022, 4.67496434823, 1194.4470102246],\n    [0.00000000022, 5.01797528499, 9595.2390892234],\n    [0.00000000028, 4.19843924702, 8429.2412664666],\n    [0.00000000023, 6.2119501005, 7740.6067835888],\n    [0.00000000025, 1.45100528915, 6872.6731195112],\n    [0.00000000024, 1.93342510858, 2699.7348193176],\n    [0.00000000028, 5.8700989815, 1052.2683831884],\n    [0.00000000025, 2.49707182259, 2118.7638603784],\n    [0.0000000002, 0.15682384975, 3205.5473466644],\n    [0.00000000019, 3.82087005916, 12303.06777661],\n    [0.0000000002, 6.26534330674, 7875.6718636242],\n    [0.00000000019, 0.99282533197, 522.5774180938],\n    [0.00000000018, 4.11668144665, 426.598190876],\n    [0.0000000002, 3.28531167827, 9225.539273283],\n    [0.00000000019, 5.72169822815, 11371.7046897582],\n    [0.00000000018, 4.76871968197, 382.8965322232],\n    [0.00000000017, 0.96519535826, 191.4482661116],\n    [0.00000000017, 0.86184324841, 10973.55568635],\n    [0.00000000018, 6.22706341047, 9381.9399937854],\n    [0.00000000015, 0.54135050421, 640.8776073822],\n];\n\nconst VSOP87_B3: Vsop87Element = [\n    [0.00000606506, 1.98050633529, 3340.6124266998],\n    [0.00000042611],\n    [0.00000013652, 1.795882288, 6681.2248533996],\n    [0.0000000273, 3.45377082121, 10021.8372800994],\n    [0.00000000929, 3.75226159072, 3337.0893083508],\n    [0.00000000607, 0.10618486408, 13362.4497067992],\n    [0.00000000617, 1.14471772765, 3496.032826134],\n    [0.00000000479, 0.70504966293, 16703.062133499],\n    [0.00000000185, 3.28778562029, 3185.1920272656],\n    [0.00000000169, 0.29980532608, 5621.8429232104],\n    [0.00000000158, 1.09025317222, 20043.6745601988],\n    [0.00000000123, 2.55664973413, 3097.88382272579],\n    [0.00000000126, 4.74517022983, 3532.0606928114],\n    [0.00000000093, 6.03607685759, 3894.1818295422],\n    [0.00000000099, 4.92257049901, 2544.3144198834],\n    [0.00000000106, 3.41315845439, 2942.4634232916],\n    [0.00000000062, 6.257389499, 3339.6321056316],\n    [0.00000000058, 4.64867983361, 4292.3308329504],\n    [0.0000000005, 3.75358626972, 6677.7017350506],\n    [0.0000000005, 1.89408668049, 5088.6288397668],\n    [0.00000000058, 3.65295480755, 6525.8044539654],\n    [0.00000000045, 0.38295906298, 5486.777843175],\n    [0.00000000052, 3.25535694335, 4690.4798363586],\n    [0.00000000044, 1.89342588822, 3583.3410306738],\n    [0.00000000037, 0.04871920725, 2146.1654164752],\n    [0.00000000039, 0.91787211117, 3723.508958923],\n    [0.00000000051, 5.24063514394, 5884.9268465832],\n    [0.00000000036, 2.79633276263, 529.6909650946],\n    [0.00000000032, 1.44641701752, 23384.2869868986],\n    [0.00000000024, 5.41362501363, 3340.5951730476],\n    [0.00000000023, 4.70639896508, 2787.0430238574],\n    [0.00000000021, 1.12581894224, 3340.629680352],\n    [0.00000000021, 0.51744721589, 8962.4553499102],\n    [0.00000000018, 0.36433365806, 155.4203994342],\n    [0.00000000018, 5.53170427847, 3333.498879699],\n    [0.00000000019, 4.34401282378, 6151.533888305],\n    [0.00000000021, 2.9476550159, 398.1490034082],\n    [0.0000000002, 5.96181389299, 5092.1519581158],\n    [0.00000000017, 0.80891817293, 1194.4470102246],\n    [0.00000000011, 0.43817745316, 1059.3819301892],\n    [0.00000000014, 1.06654064248, 6836.6452528338],\n];\n\nconst VSOP87_B4: Vsop87Element = [\n    [0.00000011334, 3.45724352586, 3340.6124266998],\n    [0.00000013369],\n    [0.00000000744, 0.50445805257, 6681.2248533996],\n    [0.00000000148, 1.05056602649, 10021.8372800994],\n    [0.00000000102, 2.66185835593, 3496.032826134],\n    [0.00000000053, 5.27888218929, 3337.0893083508],\n    [0.00000000022, 4.09971603267, 3097.88382272579],\n    [0.00000000023, 1.7242234213, 3185.1920272656],\n    [0.00000000013, 5.41704779112, 16703.062133499],\n    [0.00000000013, 2.06957065662, 13362.4497067992],\n    [0.0000000001, 0.959895956, 3894.1818295422],\n];\n\nconst VSOP87_B5: Vsop87Element = [\n    [0.00000000457, 4.86794125358, 3340.6124266998],\n    [0.00000000053, 5.30547050586, 6681.2248533996],\n    [0.00000000012, 5.75114070583, 10021.8372800994],\n    [0.00000000013, 4.17736925293, 3496.032826134],\n    [0.00000000007],\n];\n\nconst VSOP87_R0: Vsop87Element = [\n    [1.53033488276],\n    [0.14184953153, 3.47971283519, 3340.6124266998],\n    [0.00660776357, 3.81783442097, 6681.2248533996],\n    [0.00046179117, 4.15595316284, 10021.8372800994],\n    [0.00008109738, 5.55958460165, 2810.9214616052],\n    [0.00007485315, 1.77238998069, 5621.8429232104],\n    [0.00005523193, 1.3643631888, 2281.2304965106],\n    [0.0000382516, 4.49407182408, 13362.4497067992],\n    [0.00002306539, 0.09081742493, 2544.3144198834],\n    [0.00001999399, 5.36059605227, 3337.0893083508],\n    [0.00002484385, 4.92545577893, 2942.4634232916],\n    [0.00001960198, 4.74249386323, 3344.1355450488],\n    [0.00001167115, 2.11261501155, 5092.1519581158],\n    [0.00001102828, 5.0090826416, 398.1490034082],\n    [0.00000899077, 4.40790433994, 529.6909650946],\n    [0.00000992252, 5.83862401067, 6151.533888305],\n    [0.00000807348, 2.10216647104, 1059.3819301892],\n    [0.0000079791, 3.44839026172, 796.2980068164],\n    [0.0000074098, 1.49906336892, 2146.1654164752],\n    [0.0000069234, 2.13378814785, 8962.4553499102],\n    [0.00000633144, 0.89353285018, 3340.5951730476],\n    [0.00000725583, 1.24516913473, 8432.7643848156],\n    [0.0000063314, 2.92430448169, 3340.629680352],\n    [0.00000574352, 0.82896196337, 2914.0142358238],\n    [0.00000526187, 5.38292276228, 3738.761430108],\n    [0.00000629976, 1.28738135858, 1751.539531416],\n    [0.00000472776, 5.19850457873, 3127.3133312618],\n    [0.00000348095, 4.83219198908, 16703.062133499],\n    [0.00000283702, 2.90692294913, 3532.0606928114],\n    [0.00000279552, 5.25749247548, 6283.0758499914],\n    [0.00000233827, 5.10546492529, 5486.777843175],\n    [0.00000219428, 5.58340248784, 191.4482661116],\n    [0.00000269891, 3.76394728622, 5884.9268465832],\n    [0.00000208333, 5.25476080773, 3340.545116397],\n    [0.00000275224, 2.90818883832, 1748.016413067],\n    [0.00000275501, 1.21767967781, 6254.6266625236],\n    [0.00000239133, 2.03669896238, 1194.4470102246],\n    [0.0000022319, 4.19861593779, 3149.1641605882],\n    [0.00000182686, 5.08062683355, 6684.7479717486],\n    [0.00000186213, 5.69871555748, 6677.7017350506],\n    [0.00000175995, 5.95341786369, 3870.3033917944],\n    [0.00000178613, 4.18423025538, 3333.498879699],\n    [0.00000208336, 4.84626442122, 3340.6797370026],\n    [0.00000228128, 3.2552902062, 6872.6731195112],\n    [0.00000144286, 0.21296012258, 5088.6288397668],\n    [0.00000163534, 3.79889068111, 4136.9104335162],\n    [0.0000013312, 1.5391010671, 7903.073419721],\n    [0.00000141759, 2.47790321309, 4562.4609930212],\n    [0.00000114941, 4.31745088059, 1349.8674096588],\n    [0.00000118781, 2.12178071222, 1589.0728952838],\n    [0.00000102096, 6.18138550087, 9492.1463150048],\n    [0.00000128555, 5.49883294915, 8827.3902698748],\n    [0.00000111538, 0.55339169625, 11243.6858464208],\n    [0.00000082498, 1.6222704459, 11773.3768115154],\n    [0.00000083212, 0.61553380568, 8429.2412664666],\n    [0.0000008447, 0.6227459311, 1592.5960136328],\n    [0.00000086659, 1.74988330093, 2700.7151403858],\n    [0.00000071826, 2.47489899385, 12303.06777661],\n    [0.00000085312, 1.61621097912, 4690.4798363586],\n    [0.00000063641, 2.67334126661, 426.598190876],\n    [0.00000068599, 2.40197828418, 4399.994356889],\n    [0.00000058559, 4.72052787516, 213.299095438],\n    [0.00000062015, 1.10065866221, 1221.8485663214],\n    [0.00000066509, 2.21307705185, 6041.3275670856],\n    [0.00000055811, 1.23288325946, 3185.1920272656],\n    [0.00000054989, 5.72691385306, 951.7184062506],\n    [0.00000052418, 3.02366828926, 4292.3308329504],\n    [0.00000055686, 5.44686699242, 3723.508958923],\n    [0.00000058959, 3.26242666052, 6681.2421070518],\n    [0.00000044629, 2.0147364039, 8031.0922630584],\n    [0.00000058959, 1.23165502899, 6681.2075997474],\n    [0.00000042444, 2.26551590902, 155.4203994342],\n    [0.00000038956, 2.57760416009, 3341.592747768],\n    [0.00000051561, 5.72326937712, 7079.3738568078],\n    [0.00000048939, 5.61614696751, 3553.9115221378],\n    [0.00000045414, 5.43290921705, 6467.9257579616],\n    [0.00000036435, 4.43921812388, 3894.1818295422],\n    [0.0000003598, 1.15966567007, 2288.3440435114],\n    [0.00000035265, 5.49029710802, 1990.745017041],\n    [0.00000042191, 1.6325374276, 5628.9564702112],\n    [0.00000044292, 5.0034136685, 5614.7293762096],\n    [0.00000033623, 5.17029029766, 20043.6745601988],\n    [0.00000043256, 1.03732072925, 11769.8536931664],\n    [0.00000039237, 1.24237122859, 3339.6321056316],\n    [0.00000031943, 4.59258406791, 2274.1169495098],\n    [0.00000030345, 2.4417767013, 11371.7046897582],\n    [0.00000032259, 2.38215172582, 4535.0594369244],\n    [0.0000003187, 4.37521442752, 3.523118349],\n    [0.0000002935, 4.06034813442, 3097.88382272579],\n    [0.00000031972, 1.93970478412, 382.8965322232],\n    [0.00000026166, 5.58466944895, 9623.6882766912],\n    [0.00000027904, 4.25805969214, 3191.0492295652],\n    [0.00000033065, 0.85467740581, 553.5694028424],\n    [0.00000027543, 1.57668567401, 9595.2390892234],\n    [0.00000025159, 0.81355213242, 10713.9948813262],\n    [0.0000002207, 0.85747723964, 3319.8370312074],\n    [0.00000024772, 5.38970742761, 2818.035008606],\n    [0.00000023359, 6.01453778225, 3496.032826134],\n    [0.00000024732, 2.58034797703, 2803.8079146044],\n    [0.00000019365, 5.18528750472, 6681.2921637024],\n    [0.00000019122, 5.41968559451, 10025.3603984484],\n    [0.00000019364, 5.59378382138, 6681.1575430968],\n    [0.0000001833, 5.7956732424, 7064.1213856228],\n    [0.00000018193, 5.61307426173, 7.1135470008],\n    [0.00000020392, 4.53637816869, 6489.776587288],\n    [0.0000002126, 6.19160142215, 14054.607308026],\n    [0.00000017094, 1.55004739305, 2957.7158944766],\n    [0.00000022791, 3.41709388606, 7632.9432596502],\n    [0.00000020585, 2.98697279083, 3361.3878221922],\n    [0.00000018005, 2.81431094394, 4032.7700279266],\n    [0.00000017049, 6.15528099726, 10404.7338123226],\n    [0.00000016488, 3.84534700818, 10973.55568635],\n    [0.00000016052, 0.92823508003, 14584.2982731206],\n    [0.00000021027, 2.38474290907, 4989.0591838972],\n    [0.00000016267, 1.92321585819, 7373.3824546264],\n    [0.00000016291, 6.28233085307, 7210.9158184942],\n    [0.00000018585, 4.07325116588, 2388.8940204492],\n    [0.00000015977, 4.58368417141, 3264.3463554242],\n    [0.00000019913, 2.7351844595, 5099.2655051166],\n    [0.00000019661, 1.86285979, 3443.7052009184],\n    [0.000000165, 4.14061745086, 7477.522860216],\n    [0.00000019495, 6.03778234182, 10018.3141617504],\n    [0.00000015104, 2.65433427561, 2787.0430238574],\n    [0.00000019099, 0.22623441108, 13745.3462390224],\n    [0.00000017163, 3.18825562972, 3347.7259737006],\n    [0.00000013423, 2.12818658793, 3344.2028553516],\n    [0.0000001541, 2.2077350796, 2118.7638603784],\n    [0.00000017238, 3.67067776368, 3205.5473466644],\n    [0.00000013113, 4.27490214998, 14314.1681130498],\n    [0.00000016451, 2.86641622696, 14712.317116458],\n    [0.00000013734, 1.68629769646, 3337.021998048],\n    [0.00000016659, 4.52130808861, 6674.1113063988],\n    [0.0000001183, 0.19684525299, 3475.6775067352],\n    [0.00000011767, 3.22897247987, 5828.0284716476],\n    [0.00000011886, 4.82057654742, 7234.794256242],\n    [0.00000010609, 1.73997337551, 639.897286314],\n    [0.00000011154, 0.23859830185, 12832.7587417046],\n    [0.0000001103, 0.4454170644, 10213.285546211],\n    [0.0000001024, 5.74758340632, 242.728603974],\n    [0.00000010051, 2.45102946726, 4929.6853219836],\n    [0.00000010061, 0.78907665448, 9381.9399937854],\n    [0.00000010065, 5.37506605762, 5085.038411115],\n    [0.00000011902, 0.79897698904, 3265.8308281325],\n    [0.0000000899, 0.96463418322, 4933.2084403326],\n    [0.0000000897, 4.18326774405, 9225.539273283],\n    [0.00000008982, 1.98501418026, 15113.9892382152],\n    [0.00000008324, 1.93694866513, 1648.4467571974],\n    [0.00000007833, 2.04997447879, 1758.6530784168],\n    [0.00000007957, 3.92331072722, 2921.1277828246],\n    [0.00000010224, 2.66497189021, 2487.4160449478],\n    [0.00000008277, 0.94860765546, 2906.900688823],\n    [0.00000007371, 0.84378341481, 692.1576012268],\n    [0.00000007545, 5.68031160782, 13916.0191096416],\n    [0.00000007912, 2.81294761885, 15643.6802033098],\n    [0.00000006958, 3.32193127272, 3230.4061054804],\n    [0.00000007426, 6.09656283295, 3583.3410306738],\n    [0.00000006402, 4.19806996774, 5202.3582793352],\n    [0.00000006529, 6.1192925271, 135.0650800354],\n    [0.0000000613, 0.00117252232, 6836.6452528338],\n    [0.00000006226, 6.10683955669, 17256.6315363414],\n    [0.00000008193, 5.24811458833, 10575.4066829418],\n    [0.00000006168, 3.60069207439, 10021.8545337516],\n    [0.00000006169, 1.56992114335, 10021.8200264472],\n    [0.00000005671, 0.1365030666, 13524.9163429314],\n    [0.00000006257, 4.50450768937, 8425.6508378148],\n    [0.00000005249, 2.70122358603, 4459.3682188026],\n    [0.00000006479, 2.74267498287, 7740.6067835888],\n    [0.0000000553, 6.06408145092, 10419.9862835076],\n    [0.00000005536, 5.74996063243, 12168.0026965746],\n    [0.00000006826, 4.69327545839, 17654.7805397496],\n    [0.00000005005, 4.68382632238, 522.5774180938],\n    [0.00000006328, 3.31896726895, 3767.2106175758],\n    [0.00000004734, 0.00755678425, 3325.3599555148],\n    [0.00000005032, 2.33696685608, 1052.2683831884],\n    [0.00000004661, 5.15051711401, 1066.49547719],\n    [0.00000004724, 5.77956037309, 9808.5381846614],\n    [0.00000005136, 1.57259709878, 6525.8044539654],\n    [0.00000004522, 1.44218620352, 3369.0616141676],\n    [0.00000006189, 4.58996159356, 6531.661656265],\n    [0.00000006205, 4.48164856516, 22747.2907148744],\n    [0.00000005329, 4.55145599182, 1744.4259844152],\n    [0.00000004511, 5.94511266539, 6894.5239488376],\n    [0.0000000433, 3.10901365758, 4569.574540022],\n    [0.00000005366, 5.08043436437, 2707.8286873866],\n    [0.00000005134, 1.28568358496, 8439.8779318164],\n    [0.00000004127, 5.48538052912, 2699.7348193176],\n    [0.00000005394, 5.21695066244, 5305.4510535538],\n    [0.00000004449, 5.56764082611, 16865.5287696312],\n    [0.00000003898, 1.4878243479, 9168.6408983474],\n    [0.00000003863, 1.2305080393, 16858.4825329332],\n    [0.00000003766, 0.27090392616, 17395.2197347258],\n    [0.00000004683, 3.05668892586, 5518.7501489918],\n    [0.00000004258, 2.7909014579, 3503.079062832],\n    [0.00000003864, 0.37957291785, 10177.2576795336],\n    [0.00000003992, 1.8442476803, 3134.4268782626],\n    [0.00000003643, 2.95318600206, 6144.4203413042],\n    [0.00000003654, 1.58063207414, 6680.2445323314],\n    [0.00000003931, 1.98436570971, 8969.568896911],\n    [0.0000000335, 2.72637081667, 7875.6718636242],\n    [0.00000003623, 2.91544991631, 6682.2051744678],\n    [0.00000004392, 0.81931997702, 3302.479391062],\n    [0.00000004062, 5.46935175827, 3120.199784261],\n    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[0.00000000115, 5.99541570797, 11986.6759069534],\n    [0.00000000152, 5.6666233996, 6530.1771835567],\n    [0.00000000123, 0.05231448642, 9801.4246376606],\n    [0.0000000013, 1.4237792604, 16063.164847185],\n    [0.0000000012, 4.19579234337, 604.8497407048],\n    [0.00000000126, 1.38788085609, 169.580183133],\n    [0.00000000122, 0.18785107006, 18849.2275499742],\n    [0.00000000113, 4.67731144918, 24491.4257925834],\n    [0.00000000122, 1.21803689218, 3067.9394693482],\n    [0.00000000118, 3.92389195187, 2963.238818784],\n    [0.00000000137, 0.80076862963, 3123.7902129128],\n    [0.00000000124, 0.77274469912, 12465.5344127422],\n    [0.00000000132, 4.73888023892, 2267.003402509],\n    [0.00000000122, 3.66231014052, 8756.269801473],\n    [0.00000000113, 3.74955221887, 21393.5419698576],\n    [0.00000000153, 5.00596002145, 15906.7641266826],\n    [0.00000000109, 1.4639407844, 2854.6403739102],\n    [0.00000000125, 6.00744459186, 1442.2612087602],\n    [0.0000000014, 0.64532646558, 13532.0298899322],\n    [0.00000000108, 2.11691804278, 43.718912305],\n    [0.0000000013, 1.4318591196, 3370.1042450032],\n    [0.00000000133, 2.31239626151, 9072.6616711296],\n    [0.00000000107, 5.68864833782, 4878.8528626778],\n    [0.00000000116, 3.91262234002, 11904.9187732018],\n    [0.00000000106, 1.99989592271, 3497.0131472022],\n    [0.00000000106, 5.79020088316, 1.4844727083],\n    [0.00000000105, 1.79751699456, 3517.3061568336],\n    [0.0000000013, 0.80396347034, 3397.5108016354],\n    [0.00000000107, 5.29449090921, 10.6366653498],\n    [0.00000000137, 0.47037516401, 13575.7488022372],\n    [0.00000000104, 5.03145022037, 1751.5222777638],\n    [0.00000000146, 2.57659804831, 3308.640120883],\n    [0.00000000103, 3.29589452622, 4379.6390374902],\n    [0.00000000104, 0.77903634693, 1751.5567850682],\n    [0.00000000118, 4.11892224522, 10927.2939767642],\n    [0.00000000106, 2.25714927822, 13207.029307365],\n    [0.00000000126, 1.10289326962, 6680.7949702729],\n    [0.00000000105, 1.41449747957, 10081.211142013],\n    [0.0000000011, 6.16072219971, 3338.069629419],\n    [0.00000000113, 0.61947991056, 13421.8235687128],\n    [0.00000000139, 2.21345603147, 1954.7171503636],\n    [0.00000000102, 3.81767069895, 6670.1791531357],\n    [0.00000000101, 3.44583422545, 1505.28780909299],\n    [0.00000000105, 2.46134952447, 5525.8636959926],\n    [0.00000000119, 5.64454862995, 8425.7181481176],\n    [0.00000000101, 1.87446179141, 9161.5273513466],\n    [0.00000000111, 5.46183253107, 7214.4389368432],\n    [0.00000000123, 0.14056284625, 16489.763038061],\n    [0.00000000128, 0.00452525697, 2185.2512692928],\n    [0.00000000106, 6.2022517933, 3717.9860346156],\n    [0.00000000099, 1.70554147455, 1655.5603041982],\n    [0.000000001, 1.76373681853, 3002.3697277168],\n    [0.00000000101, 0.55693458655, 3337.1566186536],\n    [0.00000000101, 0.56441794685, 30774.5016425748],\n    [0.00000000098, 1.93983799659, 5562.4690612968],\n    [0.0000000013, 5.65255471249, 2735.762685995],\n    [0.00000000125, 6.18575288406, 9698.331863442],\n    [0.000000001, 2.35767934317, 3337.0720546986],\n    [0.000000001, 3.76317527562, 3344.152798701],\n    [0.00000000105, 5.33897491215, 5096.0841113789],\n    [0.00000000103, 1.24189801298, 1385.8952763362],\n    [0.00000000101, 1.42727612221, 37455.7264959744],\n    [0.00000000096, 2.55328478399, 4466.4817658034],\n    [0.00000000097, 5.8677912741, 5220.1708014532],\n    [0.00000000101, 2.61513508379, 16858.41522263039],\n    [0.00000000107, 4.23943588615, 8823.8671515258],\n    [0.000000001, 4.38845221965, 3337.106562003],\n    [0.000000001, 1.73240240188, 3344.11829139661],\n    [0.00000000101, 3.51764169063, 4694.0029547076],\n    [0.00000000096, 3.16895015703, 12825.6451947038],\n    [0.00000000101, 6.24060604565, 2942.5307335944],\n    [0.00000000103, 1.09500325425, 12089.768681172],\n    [0.00000000106, 5.57931664756, 39048.3225096072],\n    [0.00000000126, 3.4052173855, 6681.6547365263],\n    [0.00000000105, 2.52404371984, 1755.062649765],\n    [0.00000000115, 6.10031030713, 3145.6410422392],\n    [0.00000000092, 5.06385191401, 5085.1057214178],\n    [0.00000000097, 1.11670836674, 3341.7930693519],\n    [0.00000000092, 5.83209800268, 6682.7093261079],\n    [0.00000000121, 2.39411154886, 18208.349942592],\n    [0.0000000011, 2.51677822824, 1045.1548361876],\n    [0.00000000091, 1.07173725022, 927.8399685028],\n    [0.00000000096, 3.60155667418, 13363.4300278674],\n    [0.00000000097, 5.34224904711, 7636.4663779992],\n    [0.00000000094, 1.20811080231, 9495.6694333538],\n    [0.0000000009, 4.17568982529, 0.0673103028],\n    [0.00000000097, 3.20862890174, 5298.337506553],\n    [0.00000000092, 3.20029831258, 4403.517475238],\n    [0.0000000009, 3.79900428724, 685.044054226],\n    [0.00000000101, 2.1277832928, 10050.2864675672],\n    [0.00000000098, 3.89390262307, 2373.6415492642],\n    [0.0000000009, 4.49046504054, 6453.7487206106],\n    [0.00000000096, 5.13129666936, 7792.8670985016],\n    [0.00000000089, 4.51228904794, 10037.0897512844],\n    [0.00000000098, 0.65689906709, 2810.988771908],\n    [0.00000000114, 4.15908543927, 9090.4741932476],\n    [0.00000000094, 4.78960145866, 35707.7100829074],\n    [0.00000000087, 6.26525215858, 34554.8138636676],\n    [0.00000000087, 1.50181194995, 9983.7042444616],\n    [0.00000000087, 1.43790822626, 9488.6231966558],\n    [0.0000000009, 2.79573736864, 47477.5637760738],\n    [0.00000000094, 5.68919291448, 6106.8800550648],\n    [0.00000000087, 0.74049208991, 41990.7859328988],\n    [0.00000000101, 0.99308133443, 6614.7374444852],\n    [0.00000000115, 3.49732055752, 4.5034394172],\n    [0.00000000086, 0.18628425275, 216.822213787],\n    [0.00000000099, 1.06539589813, 2810.8541513024],\n    [0.00000000087, 3.02856210899, 7218.029365495],\n    [0.00000000085, 4.58476007089, 1699.2792165032],\n    [0.00000000088, 4.47996444588, 21957.680727747],\n    [0.00000000106, 6.1201188073, 4819.4790007642],\n    [0.00000000089, 3.88600719587, 12199.9750023914],\n    [0.00000000097, 2.70091698598, 3339.4317840477],\n    [0.00000000118, 1.027395272, 34115.1140692746],\n    [0.00000000101, 0.36591831115, 2942.3961129888],\n    [0.00000000084, 5.66081869654, 1169.5882514086],\n    [0.00000000086, 1.91214909013, 55516.4187098482],\n    [0.00000000084, 4.30909434949, 4150.0898961468],\n    [0.00000000094, 1.36645151323, 9093.9973115966],\n    [0.00000000097, 2.26544245706, 13361.469385731],\n    [0.00000000099, 1.16054562056, 128.0188433374],\n    [0.00000000094, 1.10573952457, 4591.4426230006],\n    [0.00000000092, 0.74386387542, 4845.9002357928],\n    [0.00000000101, 1.5157029904, 7807.0941925032],\n    [0.00000000096, 1.02187746571, 2899.7871418222],\n    [0.00000000086, 0.66787658068, 2957.7331481288],\n    [0.00000000087, 3.4967618964, 4061.751657906],\n    [0.00000000095, 3.35452781355, 661.232926781],\n    [0.00000000087, 0.04840436087, 23546.7536230308],\n    [0.00000000114, 2.83270741566, 394.6258850592],\n    [0.00000000081, 3.44420073782, 148.0787244263],\n    [0.00000000081, 1.27062968985, 4893.0799566794],\n    [0.00000000083, 5.48462687348, 4349.1618975832],\n    [0.00000000105, 3.4784203613, 3413.9095525588],\n    [0.00000000084, 4.33209852801, 51449.3242632782],\n    [0.00000000093, 1.59775582035, 5088.2198048527],\n    [0.00000000088, 3.29950478012, 2655.501062171],\n    [0.00000000081, 1.65543714666, 78263.70942472259],\n    [0.00000000086, 1.19342535692, 4029.2469095776],\n    [0.00000000079, 4.41964678009, 151.0476698429],\n    [0.00000000084, 1.96289182788, 14867.73751589219],\n    [0.00000000091, 5.76229906142, 2544.3316735356],\n    [0.00000000086, 3.78659802914, 1481.4093713452],\n    [0.00000000082, 2.85633413428, 14164.8136292454],\n    [0.00000000078, 4.29426812598, 187.9251477626],\n    [0.00000000078, 5.38566529072, 2655.5683724738],\n    [0.00000000084, 2.15121245434, 3311.1206083964],\n    [0.00000000078, 2.01651247942, 9124.9219860424],\n    [0.00000000083, 4.28280129037, 74923.09699802278],\n    [0.00000000077, 1.45903147715, 2544.3817301862],\n    [0.00000000081, 3.62204400197, 12306.590894959],\n    [0.000000001, 1.33498371324, 9278.8472195668],\n    [0.00000000089, 2.62080312892, 24341.5283174566],\n    [0.00000000098, 3.78877505378, 3198.4337996636],\n    [0.00000000081, 4.34306418828, 10177.1903692308],\n    [0.0000000008, 5.80054348103, 2751.01515718],\n    [0.00000000092, 2.80228448795, 3707.8367556622],\n    [0.00000000082, 2.4581289624, 9815.6517316622],\n    [0.00000000076, 3.03616461584, 9993.3880926316],\n    [0.00000000076, 3.92674885488, 2910.0820825607],\n    [0.00000000076, 3.2000404072, 7733.493236588],\n    [0.00000000098, 3.28574616663, 3289.33208883739],\n    [0.00000000077, 2.0594893001, 12928.7379689224],\n    [0.00000000075, 0.85784191736, 28638.9055811466],\n    [0.00000000078, 0.29690749181, 10654.6210194126],\n    [0.00000000101, 0.72388999452, 48827.4311857326],\n    [0.00000000085, 5.1943801013, 2146.148162823],\n    [0.00000000083, 4.42475849926, 2060.8178540718],\n    [0.00000000075, 5.19097428778, 1055.4497769261],\n    [0.00000000096, 6.24132708357, 11.0457002639],\n    [0.00000000074, 3.37882325472, 8006.1661939396],\n    [0.00000000101, 0.95332927487, 8186.5126624926],\n    [0.00000000092, 0.961730051, 151.8972810852],\n    [0.00000000074, 2.2271663021, 272.6729573516],\n    [0.00000000092, 5.56705883046, 27873.589010268],\n    [0.00000000091, 3.73152787182, 2544.2971662312],\n    [0.00000000084, 0.41493230617, 4296.9015826704],\n    [0.00000000074, 5.09669613096, 9755.2302383776],\n    [0.00000000078, 1.79565224435, 3564.9572224017],\n    [0.00000000075, 4.58345774133, 9153.9036160218],\n    [0.00000000074, 3.88658218247, 25298.2931544468],\n    [0.00000000085, 5.31472029744, 4716.3862265456],\n    [0.00000000074, 1.46907693289, 11527.1250891924],\n    [0.00000000101, 2.94847804254, 12032.9376165392],\n    [0.00000000072, 0.24413748615, 1324.94134054],\n    [0.00000000078, 0.17721609024, 3391.89276456221],\n    [0.00000000073, 1.65072742864, 5452.2627400774],\n    [0.00000000073, 4.9173008347, 10787.6303445458],\n    [0.00000000073, 3.28285909319, 8830.9133882238],\n    [0.00000000081, 5.4634074205, 3856.0762977928],\n    [0.00000000073, 4.61913155968, 3288.352111787],\n    [0.00000000096, 5.71767221046, 206.7007372966],\n    [0.0000000008, 4.47918417138, 12299.544658261],\n    [0.00000000071, 4.9813032833, 12942.965062924],\n    [0.00000000073, 2.86057567032, 4960.6099964294],\n    [0.00000000072, 5.14120362338, 4665.5537672398],\n    [0.00000000076, 0.00928867041, 6534.413166876],\n    [0.0000000009, 5.38224594245, 2125.8100970764],\n    [0.00000000085, 0.94196641948, 2146.1826701274],\n    [0.00000000096, 0.68069708134, 10006.5848089144],\n    [0.00000000073, 1.06048379839, 3866.7802734454],\n    [0.00000000072, 0.84342376295, 3334.54651107],\n    [0.00000000091, 5.12701600437, 3392.8727416126],\n    [0.00000000076, 5.96038992872, 3482.791053736],\n    [0.0000000009, 1.46230169383, 5092.169211768],\n    [0.00000000071, 1.16745785331, 1574.8458012822],\n    [0.00000000072, 3.86137692169, 16762.4359954126],\n    [0.0000000007, 0.07310763691, 12839.8722887054],\n    [0.00000000073, 0.11725123446, 10507.809332889],\n    [0.00000000081, 5.86817748181, 3495.9655158312],\n    [0.00000000071, 2.07963275673, 1063.3140834523],\n    [0.00000000068, 3.30993028662, 4106.4054911462],\n    [0.00000000069, 0.33467954461, 5.5229243074],\n    [0.00000000068, 1.56404561711, 2398.5503647308],\n    [0.0000000009, 2.61953849393, 3346.6783423296],\n    [0.00000000068, 1.06108185791, 191.3809558088],\n    [0.00000000077, 0.87794040199, 2917.9463890869],\n    [0.00000000067, 0.29712068423, 12012.5822971404],\n    [0.00000000067, 2.55451787747, 11567.1912630782],\n    [0.00000000083, 1.82578570364, 3511.285297319],\n    [0.00000000068, 2.68247854175, 20213.25474333179],\n    [0.00000000086, 2.79273636804, 367.2243289624],\n    [0.00000000086, 0.81171860574, 209.775977089],\n    [0.00000000067, 5.28035928877, 8966.3875031733],\n    [0.00000000067, 0.20258020424, 27433.88921587499],\n    [0.00000000071, 2.76410148218, 15650.7937503106],\n    [0.0000000009, 0.71593793107, 3451.7990689874],\n    [0.00000000067, 6.18148420146, 3966.2826190122],\n    [0.00000000074, 3.61959120765, 7064.1041319706],\n    [0.00000000068, 2.69550405031, 12725.453434775],\n    [0.00000000074, 1.24854309783, 8027.5691447094],\n    [0.00000000084, 2.47006028699, 3738.7441764558],\n    [0.00000000077, 5.89874180572, 4307.5833041354],\n    [0.00000000067, 0.33285041428, 19645.5255567906],\n    [0.00000000083, 3.79134493696, 2472.6787626222],\n    [0.00000000064, 0.43216125634, 1994.26813539],\n    [0.00000000071, 0.65707804543, 860.3099287528],\n    [0.00000000064, 0.98960038205, 3376.1751611684],\n    [0.0000000007, 0.96227192685, 8428.8322315525],\n    [0.00000000066, 0.65425879867, 8219.4652893776],\n    [0.0000000007, 4.36060455306, 8436.6965380787],\n    [0.00000000084, 4.50083253887, 3738.7786837602],\n    [0.00000000073, 5.69670871544, 14687.3910473392],\n    [0.00000000071, 0.36334330253, 2619.4731954936],\n    [0.0000000008, 5.85771861744, 7747.7203305896],\n    [0.00000000068, 3.06409889136, 8446.9914788172],\n    [0.00000000066, 1.07137364271, 1987.221898692],\n    [0.00000000061, 3.71171429905, 1055.8588118402],\n    [0.00000000079, 0.06487001849, 6286.5989683404],\n    [0.00000000075, 1.54177744365, 1059.3991838414],\n    [0.00000000061, 1.47350010728, 1685.0521225016],\n    [0.00000000061, 0.46897959303, 1727.6610936682],\n    [0.00000000064, 2.11869877898, 3305.0496922312],\n    [0.0000000006, 1.17940250396, 97670.38771289718],\n    [0.0000000006, 5.13953821352, 1898.3339642874],\n    [0.00000000064, 4.04058406722, 3945.4621674046],\n    [0.00000000063, 5.20562384814, 24606.13555322],\n    [0.00000000061, 0.55428968913, 7082.8969751568],\n    [0.00000000075, 4.81208819076, 27299.2442119332],\n    [0.00000000059, 1.75511446129, 12082.6551341712],\n    [0.00000000061, 5.8833385561, 6901.6374958384],\n    [0.00000000074, 3.46408580786, 14556.8967170238],\n    [0.00000000074, 4.40649822049, 9360.6043533184],\n    [0.00000000058, 4.22827613192, 4531.5363185754],\n    [0.0000000008, 2.14103357856, 7917.3005137226],\n    [0.00000000075, 1.8561801142, 52566.19261584059],\n    [0.00000000075, 5.1583065968, 45884.967762441],\n    [0.00000000068, 2.06915254754, 8958.5231966471],\n    [0.00000000056, 3.77847713307, 299.1263942692],\n    [0.00000000062, 2.25564130818, 9758.7533567266],\n    [0.00000000059, 2.68657637673, 6283.0585963392],\n    [0.00000000056, 5.54148283448, 13286.1836355236],\n    [0.00000000056, 3.892008116, 8962.3880396074],\n    [0.00000000063, 2.07254352069, 7593.7950970652],\n    [0.00000000061, 4.31994402891, 4709.2726795448],\n    [0.00000000075, 5.79419108898, 1059.364676537],\n    [0.00000000056, 0.18569912415, 7768.0083396856],\n    [0.00000000059, 5.49627068572, 7322.1024607818],\n    [0.00000000064, 3.9599211222, 3050.1269472302],\n    [0.00000000055, 2.19506741266, 7.046236698],\n    [0.00000000057, 4.052526953, 3930.2096962196],\n    [0.00000000075, 3.99788100837, 5483.254724826],\n    [0.0000000006, 4.61703903739, 6990.5031760554],\n    [0.00000000073, 4.20362525534, 21150.8133658836],\n    [0.00000000066, 2.82009591985, 8771.0070837986],\n    [0.00000000054, 0.38782719267, 360.1107819616],\n    [0.00000000059, 4.71734799803, 6283.0931036436],\n    [0.00000000068, 5.74655335863, 987.746272928],\n];\n\nconst VSOP87_R1: Vsop87Element = [\n    [0.0110743334, 2.0325052495, 3340.6124266998],\n    [0.00103175886, 2.37071845682, 6681.2248533996],\n    [0.000128772],\n    [0.0001081588, 2.70888093803, 10021.8372800994],\n    [0.0000119455, 3.04702182503, 13362.4497067992],\n    [0.00000438579, 2.88835072628, 2281.2304965106],\n    [0.00000395698, 3.42324611291, 3344.1355450488],\n    [0.00000182572, 1.58428644001, 2544.3144198834],\n    [0.0000013585, 3.38507017993, 16703.062133499],\n    [0.00000128204, 0.6299122057, 1059.3819301892],\n    [0.00000127068, 1.9538977574, 796.2980068164],\n    [0.00000118443, 2.99761345074, 2146.1654164752],\n    [0.00000128362, 6.04343360441, 3337.0893083508],\n    [0.00000087537, 3.42052758979, 398.1490034082],\n    [0.00000083026, 3.85574986653, 3738.761430108],\n    [0.00000075598, 4.45101839349, 6151.533888305],\n    [0.00000071999, 2.7644218068, 529.6909650946],\n    [0.00000066542, 2.54892602695, 1751.539531416],\n    [0.00000054314, 0.67750943459, 8962.4553499102],\n    [0.00000051035, 3.72585409207, 6684.7479717486],\n    [0.0000006643, 4.40597549957, 1748.016413067],\n    [0.00000047863, 2.28527896843, 2914.0142358238],\n    [0.00000049428, 5.72959428364, 3340.5951730476],\n    [0.00000049424, 1.47717922226, 3340.629680352],\n    [0.00000057518, 0.54354327916, 1194.4470102246],\n    [0.00000048318, 2.58061691301, 3149.1641605882],\n    [0.00000036384, 6.02728752344, 3185.1920272656],\n    [0.00000037176, 5.81439911546, 1349.8674096588],\n    [0.00000036036, 5.89508336048, 3333.498879699],\n    [0.00000031115, 0.9783250696, 191.4482661116],\n    [0.00000038953, 2.31900090554, 4136.9104335162],\n    [0.00000027244, 5.41367977087, 1592.5960136328],\n    [0.000000243, 3.75843924498, 155.4203994342],\n    [0.00000022804, 1.74830773908, 5088.6288397668],\n    [0.00000022324, 0.9393204073, 951.7184062506],\n    [0.00000021708, 3.83571581352, 6283.0758499914],\n    [0.00000021304, 0.78049229782, 1589.0728952838],\n    [0.00000021631, 4.56895741061, 3532.0606928114],\n    [0.00000017956, 4.21930481803, 3870.3033917944],\n    [0.00000018237, 0.41328624131, 5486.777843175],\n    [0.00000016251, 3.80760134974, 3340.545116397],\n    [0.00000016803, 5.54857987615, 3097.88382272579],\n    [0.0000001685, 4.53690440252, 4292.3308329504],\n    [0.00000015755, 4.75736730681, 9492.1463150048],\n    [0.00000015746, 3.72356090283, 20043.6745601988],\n    [0.00000020428, 3.13540712557, 4690.4798363586],\n    [0.00000014699, 5.95325006816, 3894.1818295422],\n    [0.00000016251, 3.39910907599, 3340.6797370026],\n    [0.00000014259, 3.99897353022, 1990.745017041],\n    [0.00000016528, 0.96752074938, 4399.994356889],\n    [0.0000001301, 5.14230107067, 6677.7017350506],\n    [0.00000012492, 1.03211063742, 3341.592747768],\n    [0.00000016463, 3.53882915214, 2700.7151403858],\n    [0.00000016171, 2.34870953554, 553.5694028424],\n    [0.00000013169, 0.41461716663, 5614.7293762096],\n    [0.00000011272, 1.02375627844, 12303.06777661],\n    [0.00000012408, 6.23142869816, 5628.9564702112],\n    [0.00000012747, 0.69046314049, 3723.508958923],\n    [0.00000011827, 6.25283898676, 2274.1169495098],\n    [0.00000010384, 1.23257236014, 426.598190876],\n    [0.00000011208, 1.31750963435, 3496.032826134],\n    [0.00000010345, 0.9006246469, 4535.0594369244],\n    [0.00000012215, 4.22316056098, 7079.3738568078],\n    [0.00000009765, 3.45310940204, 382.8965322232],\n    [0.00000008586, 1.16471901139, 2787.0430238574],\n    [0.00000007879, 5.7380886179, 2288.3440435114],\n    [0.00000009195, 1.81689739851, 6681.2421070518],\n    [0.00000007751, 4.15046998466, 6041.3275670856],\n    [0.00000009195, 6.06945250657, 6681.2075997474],\n    [0.00000009026, 2.58210941053, 2388.8940204492],\n    [0.00000006771, 0.23987737854, 11773.3768115154],\n    [0.00000007087, 3.51414944377, 8031.0922630584],\n    [0.00000009159, 3.9015859055, 3553.9115221378],\n    [0.00000006702, 4.25572879119, 242.728603974],\n    [0.00000007232, 3.70287400141, 2818.035008606],\n    [0.00000006546, 0.04353472459, 2957.7158944766],\n    [0.00000008781, 2.19735028572, 1221.8485663214],\n    [0.0000000654, 2.11834687923, 8429.2412664666],\n    [0.00000006836, 4.04512263654, 10025.3603984484],\n    [0.0000000728, 4.26943100715, 2803.8079146044],\n    [0.00000007676, 1.00782250264, 8432.7643848156],\n    [0.00000005732, 3.13956241764, 213.299095438],\n    [0.00000005344, 3.78220670098, 5092.1519581158],\n    [0.00000005991, 2.96408254428, 6489.776587288],\n    [0.00000005132, 3.98288453952, 7.1135470008],\n    [0.00000006261, 1.90346469972, 5621.8429232104],\n    [0.00000005241, 2.6709379505, 7477.522860216],\n    [0.00000006261, 1.60056695152, 3347.7259737006],\n    [0.00000006526, 2.76281601349, 3339.6321056316],\n    [0.00000004591, 1.81986278078, 2810.9214616052],\n    [0.0000000546, 4.60874445963, 3583.3410306738],\n    [0.00000004733, 0.9056002634, 5099.2655051166],\n    [0.00000005486, 4.91408093456, 7632.9432596502],\n    [0.00000004004, 4.14067157211, 9623.6882766912],\n    [0.00000003837, 0.03343295627, 7234.794256242],\n    [0.00000003621, 5.76532393672, 4933.2084403326],\n    [0.00000003747, 0.08778985966, 6525.8044539654],\n    [0.00000003016, 3.73838855125, 6681.2921637024],\n    [0.00000003975, 4.91288592965, 2942.4634232916],\n    [0.00000003911, 0.67451768877, 3127.3133312618],\n    [0.00000003923, 3.07703531632, 3.523118349],\n    [0.00000003944, 0.53974754515, 5884.9268465832],\n    [0.00000002901, 4.66281989264, 7210.9158184942],\n    [0.00000002803, 1.00530177454, 7064.1213856228],\n    [0.00000003153, 4.54673175664, 2487.4160449478],\n    [0.00000002784, 0.05495331967, 639.897286314],\n    [0.00000002759, 5.17099857257, 5828.0284716476],\n    [0.00000003017, 4.14668877243, 6681.1575430968],\n    [0.00000002999, 0.82918667275, 5085.038411115],\n    [0.00000002677, 0.69427974692, 2699.7348193176],\n    [0.00000003023, 2.59489020298, 2906.900688823],\n    [0.00000002596, 1.08693013783, 4929.6853219836],\n    [0.00000003126, 1.00027692782, 2118.7638603784],\n    [0.00000002598, 5.01195749912, 10018.3141617504],\n    [0.00000002606, 5.34420770679, 10973.55568635],\n    [0.00000002779, 3.98358744953, 6467.9257579616],\n    [0.0000000246, 1.52653571249, 6836.6452528338],\n    [0.00000002382, 3.93610586965, 11371.7046897582],\n    [0.0000000259, 5.08892664109, 12832.7587417046],\n    [0.00000002201, 0.18880589605, 9595.2390892234],\n    [0.00000002128, 5.69450469171, 3191.0492295652],\n    [0.00000002065, 3.541331746, 1066.49547719],\n    [0.00000001868, 5.0159253181, 3475.6775067352],\n    [0.00000002081, 1.3027445922, 7740.6067835888],\n    [0.0000000183, 5.68365327697, 3319.8370312074],\n    [0.00000002022, 6.1609232806, 1744.4259844152],\n    [0.00000001708, 2.21675931288, 2921.1277828246],\n    [0.00000001836, 6.16477009621, 8425.6508378148],\n    [0.0000000206, 6.24041853265, 6674.1113063988],\n    [0.00000001735, 4.58243571826, 10419.9862835076],\n    [0.00000001852, 1.36883022935, 15643.6802033098],\n    [0.00000001689, 1.92829590736, 3767.2106175758],\n    [0.00000001954, 0.46215988899, 10575.4066829418],\n    [0.000000018, 2.3091334366, 3355.8648978848],\n    [0.00000001444, 2.15042616899, 10021.8545337516],\n    [0.0000000176, 5.87267582299, 3320.257107301],\n    [0.00000001845, 4.06123235448, 23384.2869868986],\n    [0.00000001423, 4.65085713203, 4562.4609930212],\n    [0.0000000141, 1.50438410845, 3325.3599555148],\n    [0.00000001444, 0.11969993808, 10021.8200264472],\n    [0.00000001443, 0.55828572929, 15113.9892382152],\n    [0.00000001334, 1.25483731308, 7875.6718636242],\n    [0.00000001442, 1.38958943728, 6682.2051744678],\n    [0.00000001606, 4.34241260905, 5331.3574437408],\n    [0.00000001377, 0.1479168382, 1758.6530784168],\n    [0.00000001282, 5.78533014319, 14584.2982731206],\n    [0.00000001281, 1.35125896423, 10404.7338123226],\n    [0.00000001471, 0.34649469321, 8969.568896911],\n    [0.00000001245, 6.02681709446, 3264.3463554242],\n    [0.00000001234, 1.88341938354, 10177.2576795336],\n    [0.00000001552, 5.92727420332, 8439.8779318164],\n    [0.00000001182, 4.18100226016, 3360.96774609859],\n    [0.00000001333, 1.86551437099, 692.1576012268],\n    [0.00000001189, 0.89892514263, 13916.0191096416],\n    [0.00000001192, 4.30473818946, 6894.5239488376],\n    [0.00000001145, 0.15197504252, 3134.4268782626],\n    [0.00000001299, 1.44631688592, 6254.6266625236],\n    [0.00000001494, 1.54417907271, 3361.3878221922],\n    [0.00000001054, 0.67591855339, 3344.2028553516],\n    [0.0000000121, 0.85117132607, 3120.199784261],\n    [0.00000001061, 0.13258232364, 522.5774180938],\n    [0.00000001003, 1.28021784912, 4569.574540022],\n    [0.00000001012, 5.77497169905, 14314.1681130498],\n    [0.00000001169, 2.99767730172, 6247.5131155228],\n    [0.00000001062, 0.25467691252, 3337.021998048],\n    [0.00000001032, 5.6983368362, 536.8045120954],\n    [0.00000001082, 2.58016159997, 6261.7402095244],\n    [0.00000000867, 1.50283829131, 6127.6554505572],\n    [0.00000000953, 2.92377030638, 5729.506447149],\n    [0.00000000887, 5.28743574972, 10213.285546211],\n    [0.00000001108, 2.8433917189, 640.8776073822],\n    [0.00000000861, 3.21491381593, 3914.9572250346],\n    [0.00000001069, 0.49400181869, 11243.6858464208],\n    [0.000000008, 4.64154002129, 6144.4203413042],\n    [0.00000000799, 3.33215212691, 9830.3890139878],\n    [0.00000001046, 4.059078777, 6158.6474353058],\n    [0.00000000743, 4.9333799729, 3230.4061054804],\n    [0.0000000074, 3.01511102229, 10818.1352869158],\n    [0.00000000716, 2.52567242762, 5202.3582793352],\n    [0.00000000705, 4.39344403231, 9808.5381846614],\n    [0.00000000786, 1.72357089999, 3178.1457905676],\n    [0.00000000719, 0.38924465445, 6298.3283211764],\n    [0.00000000717, 6.23927283856, 3369.0616141676],\n    [0.00000000704, 1.96763488855, 6688.3384004004],\n    [0.00000000882, 2.10339285493, 2301.58581590939],\n    [0.00000000913, 2.30662326829, 13517.8701062334],\n    [0.00000000914, 4.36610748804, 13365.9728251482],\n    [0.00000000659, 3.40905557071, 1648.4467571974],\n    [0.00000000828, 2.13305589137, 7903.073419721],\n    [0.00000000652, 5.97050449428, 574.3447983348],\n    [0.00000000688, 4.02232587894, 1052.2683831884],\n    [0.00000000709, 2.24658423912, 9225.539273283],\n    [0.0000000059, 0.67418318613, 8955.3418029094],\n    [0.00000000604, 2.73550395152, 16858.4825329332],\n    [0.00000000785, 3.58704322751, 2693.601593385],\n    [0.0000000057, 4.11146135269, 6034.2140200848],\n    [0.00000000624, 4.45415856101, 12964.300703391],\n    [0.00000000563, 3.72383942144, 13119.72110282519],\n    [0.00000000547, 3.04142188931, 2707.8286873866],\n    [0.00000000536, 4.65546776421, 135.0650800354],\n    [0.0000000068, 3.62640859214, 6048.4411140864],\n    [0.00000000535, 3.32503801413, 9779.1086761254],\n    [0.00000000615, 0.31792697641, 7910.1869667218],\n    [0.00000000506, 1.24339056369, 4555.3474460204],\n    [0.00000000633, 1.32124830132, 2648.454825473],\n    [0.00000000671, 2.88173567087, 3316.733988952],\n    [0.0000000057, 4.94522781693, 6923.9534573736],\n    [0.00000000489, 0.48479532469, 12935.8515159232],\n    [0.0000000049, 1.57712746955, 162.4666361322],\n    [0.00000000492, 4.08592823251, 10021.9045904022],\n    [0.00000000468, 4.50628939729, 2384.3232707292],\n    [0.00000000462, 1.30653882308, 17256.6315363414],\n    [0.00000000444, 5.20556841675, 13358.9265884502],\n    [0.00000000511, 5.29436707935, 853.196381752],\n    [0.00000000458, 5.52316111365, 6438.4962494256],\n    [0.00000000443, 4.37626774329, 12168.0026965746],\n    [0.00000000429, 4.06329082027, 149.5631971346],\n    [0.00000000502, 6.12188881856, 8273.8208670324],\n    [0.0000000042, 3.51990468754, 9168.6408983474],\n    [0.00000000452, 0.15931716927, 7895.9598727202],\n    [0.00000000401, 0.93276882765, 433.7117378768],\n    [0.00000000491, 4.49372643902, 10021.7699697966],\n    [0.0000000039, 1.26790524143, 5459.3762870782],\n    [0.0000000046, 3.56765356005, 1596.1864422846],\n    [0.00000000514, 4.14617297678, 16460.33352952499],\n    [0.0000000051, 2.12338136542, 3335.0895023924],\n    [0.00000000365, 0.84035244694, 3364.4908644476],\n    [0.00000000444, 0.42154996651, 9866.4168806652],\n    [0.0000000038, 2.74315160117, 3344.4937620578],\n    [0.00000000355, 2.20831807719, 5518.7501489918],\n    [0.00000000374, 0.93920520997, 3863.1898447936],\n    [0.0000000038, 0.60825828556, 3980.5097130138],\n    [0.00000000366, 1.45297694305, 1039.0266107904],\n    [0.00000000458, 5.01867719021, 10551.528245194],\n    [0.00000000352, 5.59661824792, 16062.1845261168],\n    [0.00000000361, 5.43698827477, 11236.57229942],\n    [0.00000000323, 3.25474887566, 3116.2676309979],\n    [0.00000000396, 5.43635200834, 16173.3711684044],\n    [0.00000000316, 5.10862851689, 17395.2197347258],\n    [0.00000000325, 4.59103320065, 19800.9459562248],\n    [0.0000000032, 0.1002213259, 1692.1656695024],\n    [0.00000000313, 4.76509182263, 3304.5845600224],\n    [0.00000000329, 3.51515201342, 1903.4368125012],\n    [0.00000000361, 1.4017957282, 8270.2977486834],\n    [0.0000000038, 1.11278812152, 3503.079062832],\n    [0.00000000309, 1.63585786252, 11081.2192102886],\n    [0.00000000304, 6.27804875103, 2391.43681773],\n    [0.00000000336, 2.95777936427, 6680.2445323314],\n    [0.00000000299, 0.48751113813, 3347.6586633978],\n    [0.00000000327, 3.19951479738, 3981.490034082],\n    [0.00000000298, 4.26967988388, 13936.794505134],\n    [0.00000000309, 5.0577507818, 12721.572099417],\n    [0.0000000031, 6.10243075443, 17924.9106998204],\n    [0.0000000029, 4.52880846817, 5724.935697429],\n    [0.00000000279, 4.30091602167, 3607.2194684216],\n    [0.00000000293, 1.90646493379, 6702.000248892],\n    [0.00000000375, 5.37146136739, 3376.6402933772],\n    [0.00000000268, 4.93796347898, 13760.5987102074],\n    [0.00000000269, 5.63342755549, 4032.7700279266],\n    [0.00000000361, 4.70448724123, 9380.9596727172],\n    [0.00000000285, 4.37639190605, 6040.3472460174],\n    [0.00000000305, 3.60878132297, 7255.5696517344],\n    [0.00000000265, 5.82002998533, 1214.7350193206],\n    [0.00000000246, 3.48844723382, 3237.5196524812],\n    [0.00000000339, 6.05128485092, 6660.4494579072],\n    [0.00000000325, 5.12798981834, 11250.7993934216],\n    [0.00000000243, 0.48346700024, 13362.432453147],\n    [0.00000000246, 4.41923388458, 3546.797975137],\n    [0.00000000239, 3.73073204843, 76.2660712756],\n    [0.00000000239, 6.27709788173, 1964.838626854],\n    [0.00000000242, 2.51411096474, 13362.4669604514],\n    [0.00000000238, 4.61745673345, 17277.4069318338],\n    [0.00000000232, 3.13987850882, 20199.094959633],\n    [0.00000000245, 3.88310965561, 4407.1079038898],\n    [0.00000000242, 3.07232693388, 12566.1516999828],\n    [0.00000000277, 3.88618268628, 10596.1820784342],\n    [0.00000000277, 6.1445946998, 19402.7969528166],\n    [0.00000000222, 2.20253799065, 7107.8230442756],\n    [0.00000000218, 1.37621606096, 3415.3940252671],\n    [0.00000000297, 3.78408680173, 2766.267628365],\n    [0.00000000264, 5.35345322905, 6816.289933435],\n    [0.00000000213, 1.10915354432, 19004.6479494084],\n    [0.00000000213, 4.60032427636, 3973.396166013],\n    [0.0000000023, 4.39356021431, 26724.8994135984],\n    [0.00000000202, 0.60981942427, 6677.6344247478],\n    [0.00000000268, 5.05058237041, 9381.9399937854],\n    [0.00000000199, 1.34402137469, 8329.671610597],\n    [0.00000000198, 5.08527311506, 5820.9149246468],\n    [0.00000000201, 0.05002970566, 11780.4903585162],\n    [0.00000000199, 2.66187512344, 6696.4773245846],\n    [0.00000000227, 1.69939961119, 18984.2926300096],\n    [0.00000000217, 4.71565260831, 8671.9698704406],\n    [0.00000000199, 0.66532566162, 15664.03552270859],\n    [0.00000000201, 3.90133282111, 266.6070417218],\n    [0.00000000242, 0.76562027191, 3281.2385647862],\n    [0.00000000254, 6.0771214653, 14054.607308026],\n    [0.00000000193, 6.08798590746, 8982.810669309],\n    [0.00000000202, 1.12506176909, 6684.8152820514],\n    [0.00000000212, 0.41763591084, 5732.0492444298],\n    [0.00000000191, 0.63315794517, 3017.1070100424],\n    [0.00000000184, 5.68898048651, 5642.1982426092],\n    [0.0000000018, 4.60366258431, 10235.1363755374],\n    [0.00000000198, 1.01742381306, 3336.7310913418],\n    [0.00000000207, 0.80702499658, 3877.4169387952],\n    [0.00000000202, 1.61753574776, 11216.284290324],\n    [0.00000000177, 0.20305783491, 22743.4093795164],\n    [0.00000000181, 6.17864681592, 4885.9664096786],\n    [0.00000000228, 0.90779655425, 18454.601664915],\n    [0.00000000165, 3.97299091423, 20.3553193988],\n    [0.00000000206, 3.58770221682, 3205.5473466644],\n    [0.00000000185, 2.7708843606, 220.4126424388],\n    [0.00000000163, 0.00569068383, 1437.1756141986],\n    [0.00000000185, 6.2312887516, 6660.8695340008],\n    [0.00000000164, 4.64548469502, 3253.30422216],\n    [0.0000000021, 4.85590304986, 5618.3198048614],\n    [0.00000000226, 1.76563729092, 5625.3660415594],\n    [0.00000000163, 0.67931390118, 12310.1813236108],\n    [0.00000000211, 1.51278040364, 4039.8835749274],\n    [0.00000000177, 2.14779710666, 3346.1353510072],\n    [0.00000000154, 3.33525296567, 9070.1188738488],\n    [0.00000000178, 1.65162116131, 10713.9948813262],\n    [0.00000000156, 6.12783235584, 103.0927742186],\n    [0.00000000155, 3.51854579269, 7373.3824546264],\n    [0.00000000157, 4.91614155659, 15508.6151232744],\n    [0.00000000191, 1.74459210202, 10022.8176011676],\n    [0.00000000178, 3.53665589741, 533.2140834436],\n    [0.00000000154, 2.64640687885, 3333.5661900018],\n    [0.00000000162, 1.2723539268, 5415.6573747732],\n    [0.00000000144, 1.30886254982, 6460.8122109608],\n    [0.00000000173, 3.76291627342, 3561.0250691386],\n    [0.00000000144, 0.86629692094, 7380.4960016272],\n    [0.0000000015, 0.23529641094, 1228.9621133222],\n    [0.00000000144, 0.12285484149, 647.0108333148],\n    [0.0000000016, 0.24157324936, 11614.4332937322],\n    [0.00000000146, 4.76067886088, 16706.585251848],\n    [0.00000000188, 2.96688973732, 2178.137722292],\n    [0.00000000175, 1.66915420767, 22345.2603761082],\n    [0.00000000141, 1.75571255457, 3657.0042963564],\n    [0.00000000145, 0.71777671857, 6784.3176276182],\n    [0.00000000138, 2.74151377335, 6546.1597733642],\n    [0.00000000139, 4.12056692213, 3351.2490920496],\n    [0.00000000152, 4.88528890547, 110.2063212194],\n    [0.00000000134, 0.86682710306, 3603.6963500726],\n    [0.0000000017, 5.54401695608, 3265.8308281325],\n    [0.00000000165, 2.74557093704, 4672.6673142406],\n    [0.00000000129, 0.94520493983, 419.4846438752],\n    [0.00000000167, 3.43007767272, 1581.959348283],\n    [0.00000000136, 3.68877945956, 13171.0014406876],\n    [0.0000000016, 0.68321924763, 6475.0393049624],\n    [0.00000000129, 4.46548223743, 9499.2598620056],\n    [0.00000000144, 1.88085102951, 9468.267877257],\n    [0.00000000149, 3.49118810274, 14158.7477136156],\n    [0.00000000138, 1.92770959208, 15.252471185],\n    [0.00000000172, 0.23189971635, 12323.4230960088],\n    [0.00000000121, 1.75813513715, 4379.6390374902],\n    [0.0000000012, 6.04299490267, 6606.4432548323],\n    [0.00000000134, 1.98845453946, 8965.9784682592],\n    [0.00000000118, 0.22641710036, 11766.2632645146],\n    [0.00000000122, 2.92219895926, 21947.1113727],\n    [0.00000000147, 5.86576524955, 3169.9395560806],\n    [0.00000000121, 5.75886629308, 19513.9835951042],\n    [0.00000000119, 3.93419985914, 4936.7988689844],\n    [0.00000000123, 4.65853055862, 13149.1506113612],\n    [0.00000000151, 4.38870879458, 13362.517017102],\n    [0.00000000134, 4.49208622602, 2480.302497947],\n    [0.00000000115, 5.78268772131, 12722.5524204852],\n    [0.00000000126, 4.43971496486, 3568.0885594888],\n    [0.00000000114, 0.36704570747, 3384.3313390048],\n    [0.00000000117, 0.67607782416, 13207.029307365],\n    [0.00000000124, 5.80386208894, 10721.108428327],\n    [0.00000000115, 0.23672592056, 224.3447957019],\n    [0.0000000011, 0.26402316132, 3077.528503327],\n    [0.00000000112, 3.50979462224, 1375.7737998458],\n    [0.00000000108, 5.30086016687, 10264.5658840734],\n    [0.00000000146, 2.36972522432, 4989.0591838972],\n    [0.00000000143, 0.92798026058, 5401.4302807716],\n    [0.00000000111, 2.47771615302, 18606.4989460002],\n    [0.00000000124, 1.13870545502, 2807.3983432562],\n    [0.00000000105, 5.87122793977, 4193.8088084518],\n    [0.00000000115, 3.01754571849, 1118.7557921028],\n    [0.00000000107, 2.03274473347, 25685.872802808],\n    [0.00000000107, 4.82345245872, 13362.3823964964],\n    [0.00000000105, 1.21018340855, 8584.6616659008],\n    [0.00000000104, 5.07527834174, 23141.5583829246],\n    [0.000000001, 4.08698733114, 3511.285297319],\n    [0.00000000105, 1.1383323428, 1162.4747044078],\n    [0.00000000102, 2.55243872323, 664.75604513],\n    [0.00000000138, 3.04361079523, 3329.97576135],\n    [0.0000000013, 3.04769575195, 3341.0325027934],\n    [0.00000000117, 2.97177407391, 9602.3526362242],\n    [0.00000000098, 4.54292546461, 3362.4632560262],\n    [0.00000000097, 2.21618504638, 10042.6126755918],\n    [0.000000001, 5.4554164858, 3024.2205570432],\n    [0.00000000097, 1.55448890675, 8799.988713778],\n    [0.00000000107, 5.1500176439, 956.2891559706],\n    [0.000000001, 1.80839732601, 6665.9723822146],\n    [0.00000000104, 0.04641040148, 10001.061884607],\n    [0.00000000097, 0.30502193916, 10014.7237330986],\n    [0.00000000125, 3.71144870102, 3873.8265101434],\n    [0.00000000102, 5.38933965862, 13892.1406718938],\n    [0.00000000108, 4.3343889579, 3490.1756238344],\n    [0.00000000095, 2.32591017464, 10028.9508271002],\n    [0.00000000113, 1.7432394516, 11610.9101753832],\n    [0.00000000119, 4.94578003013, 3443.7052009184],\n    [0.00000000096, 1.63239207663, 11925.2740926006],\n    [0.00000000124, 0.82697196609, 9638.9407478762],\n    [0.00000000101, 1.51065535085, 1062.9050485382],\n    [0.00000000107, 4.3665371608, 6531.661656265],\n    [0.0000000009, 2.0153477417, 22324.9050567094],\n    [0.00000000094, 4.85202869277, 14047.4937610252],\n    [0.00000000089, 1.23714034226, 20809.4676246452],\n    [0.00000000095, 5.69916785631, 6717.252720077],\n    [0.00000000095, 2.15038299943, 8013.2797409404],\n    [0.00000000111, 3.91313035726, 3311.18291816379],\n    [0.00000000089, 1.37925538521, 74.7815985673],\n    [0.00000000094, 3.24872875047, 6657.3464156518],\n    [0.00000000089, 0.70324117212, 23.8784377478],\n    [0.00000000087, 0.40376031248, 2221.856634597],\n    [0.00000000092, 3.3316578619, 2540.7913015344],\n    [0.0000000012, 3.09344469205, 6685.1061887576],\n    [0.00000000087, 4.9269430907, 1505.28780909299],\n    [0.00000000091, 1.66121998822, 24150.080051345],\n    [0.0000000009, 5.47687082598, 16699.53901514999],\n    [0.00000000119, 2.53709230647, 3312.163239232],\n    [0.00000000118, 5.56523997231, 2814.4445799542],\n    [0.00000000093, 1.61394240489, 3341.0423098265],\n    [0.00000000084, 1.19439840758, 3450.8187479192],\n    [0.00000000085, 4.95060410388, 7314.0085927128],\n    [0.00000000084, 3.92244493446, 170.6728706192],\n    [0.00000000096, 5.49205832489, 3427.9206312396],\n    [0.00000000106, 1.61703818023, 3774.3241645766],\n    [0.00000000101, 6.18535119914, 5511.636601991],\n    [0.00000000081, 3.16562241132, 52175.8062831484],\n    [0.00000000093, 5.15512549422, 3451.7990689874],\n    [0.00000000108, 0.33314004399, 6709.6740408674],\n    [0.00000000078, 2.38080208142, 13553.8979729108],\n    [0.00000000085, 1.1858843064, 6705.1032911474],\n    [0.00000000098, 3.24856024758, 25287.7237993998],\n    [0.0000000008, 2.54327778068, 6675.7019290922],\n    [0.00000000078, 4.70533248161, 24889.5747959916],\n    [0.00000000095, 1.59916172961, 4271.9755135516],\n    [0.00000000076, 0.90799171644, 2675.8563815698],\n    [0.00000000091, 3.80728044706, 2125.8774073792],\n    [0.00000000093, 5.59480359619, 3340.1825435731],\n    [0.00000000095, 2.06299921822, 6518.7582172674],\n    [0.000000001, 6.02550501045, 3313.210870603],\n    [0.00000000075, 6.1609589009, 3370.0419352358],\n    [0.00000000077, 4.92444879515, 3229.4257844122],\n    [0.0000000009, 4.55063359845, 6701.5801727984],\n    [0.00000000078, 2.01202524407, 14421.8316369884],\n    [0.00000000079, 5.92142974185, 6155.057006654],\n    [0.00000000101, 2.07923317336, 15265.8865193004],\n    [0.00000000082, 6.04078010866, 3760.097070575],\n    [0.00000000073, 3.01106366205, 206.1855484372],\n    [0.00000000078, 1.71095661489, 3399.9862886134],\n    [0.00000000073, 3.32824316241, 9588.1255422226],\n    [0.00000000076, 1.74030672711, 6756.0064519669],\n    [0.00000000073, 1.44980946324, 5408.5438277724],\n    [0.00000000077, 5.64501410813, 3209.0704650134],\n    [0.0000000008, 5.70272305344, 10156.9023601348],\n    [0.00000000075, 3.83222347813, 39048.3225096072],\n    [0.00000000072, 0.82629826575, 7366.2689076256],\n    [0.00000000083, 4.71804515025, 14061.7208550268],\n    [0.00000000072, 4.35767091893, 21548.9623692918],\n    [0.00000000086, 1.50107043029, 5989.0672521728],\n    [0.00000000073, 3.77377582806, 28628.3362260996],\n    [0.00000000082, 0.7874018109, 16276.463942623],\n    [0.0000000007, 2.69225539304, 3296.8935143948],\n    [0.00000000069, 1.01941228196, 12295.9542296092],\n    [0.00000000081, 4.64227979982, 6947.8318951214],\n    [0.00000000094, 0.74502278458, 5244.049239201],\n    [0.00000000067, 4.4732887165, 20206.141196331],\n    [0.00000000091, 2.95968633697, 3326.3853326982],\n    [0.00000000076, 2.86128350856, 8542.970706035],\n    [0.00000000065, 1.31079130285, 23546.7536230308],\n    [0.00000000065, 3.31422850411, 6414.6178116778],\n    [0.00000000064, 3.98415414793, 3368.0139827966],\n    [0.00000000065, 4.15810281695, 3340.19235060619],\n    [0.00000000071, 3.82044323862, 6578.132079181],\n    [0.0000000008, 1.02128994578, 7321.1221397136],\n    [0.00000000064, 1.07965886113, 6944.3087767724],\n    [0.00000000064, 1.20215520018, 38.1330356378],\n    [0.0000000007, 5.11166911478, 9485.032768004],\n    [0.00000000067, 2.22216014849, 4845.9002357928],\n    [0.00000000083, 1.86067842148, 931.3630868518],\n    [0.00000000063, 0.45029141698, 6418.1409300268],\n    [0.00000000062, 5.68207205878, 4459.3682188026],\n    [0.00000000062, 0.62454636835, 6688.2710900976],\n    [0.00000000076, 0.41820625869, 5032.7780962022],\n    [0.00000000062, 5.72811519809, 2008.557539159],\n    [0.0000000006, 1.98790201827, 12199.9750023914],\n    [0.00000000078, 2.18035217615, 3232.9489027612],\n    [0.0000000006, 1.08971396071, 10124.930054318],\n    [0.00000000072, 4.08555524166, 3416.8784979754],\n    [0.00000000061, 2.49066420507, 4005.3684718298],\n    [0.00000000059, 2.9375514437, 9886.772200064],\n    [0.00000000069, 1.02371083242, 6621.850991486],\n    [0.00000000061, 4.57446273568, 2277.7073781616],\n    [0.00000000059, 4.7474548172, 16865.5287696312],\n    [0.00000000069, 3.6257698172, 15906.7641266826],\n    [0.00000000058, 4.15993379336, 1854.6323056346],\n    [0.0000000006, 4.92798256747, 3391.89276456221],\n    [0.0000000007, 4.51699340219, 16304.9131300908],\n    [0.00000000056, 3.5935463928, 7322.1024607818],\n    [0.00000000068, 0.8121709197, 16703.0448798468],\n    [0.00000000056, 3.19997567622, 4140.4335518652],\n    [0.00000000058, 1.73479637157, 2409.249339848],\n    [0.00000000054, 5.5431093749, 2604.735913168],\n    [0.00000000059, 2.0292225638, 45486.81875903279],\n    [0.00000000063, 5.29505507594, 17101.2111369072],\n    [0.00000000054, 4.8823066075, 48300.16010269],\n    [0.00000000071, 4.843810412, 3289.33208883739],\n    [0.00000000054, 1.76917054114, 3510.1926098328],\n    [0.00000000063, 2.80175814276, 16894.5103996106],\n    [0.00000000058, 0.91631357427, 10018.2468514476],\n    [0.00000000054, 1.06826755543, 8948.2282559086],\n    [0.00000000072, 1.36121375974, 10025.4277087512],\n    [0.00000000061, 0.92427393171, 17468.8551979454],\n    [0.00000000068, 2.84271358352, 16703.07938715119],\n    [0.00000000053, 3.42679182927, 14867.73751589219],\n    [0.00000000054, 0.41070672545, 18451.07854656599],\n    [0.0000000006, 5.86922287544, 7447.017917846],\n    [0.00000000051, 1.64684042106, 3472.1543883862],\n    [0.00000000057, 6.13250399703, 17085.9586657222],\n    [0.00000000053, 4.16969434701, 6106.8800550648],\n    [0.0000000005, 3.17196717347, 2111.6503133776],\n    [0.00000000055, 5.7260754556, 10706.8813343254],\n    [0.00000000062, 0.57333106196, 3171.0322435668],\n    [0.00000000053, 1.29007833025, 6652.7756659318],\n    [0.0000000005, 2.96441858632, 10037.0897512844],\n    [0.00000000065, 5.11165617529, 3113.1362939108],\n    [0.00000000053, 4.87447079015, 1485.9801210652],\n    [0.0000000005, 2.52848298042, 10448.4354709754],\n    [0.00000000059, 1.69623653028, 4025.6564809258],\n    [0.00000000047, 5.15559748285, 12012.5822971404],\n    [0.00000000049, 1.19473362353, 3448.2759506384],\n    [0.00000000063, 1.01191427607, 11769.8536931664],\n    [0.00000000064, 3.86219786087, 18208.349942592],\n    [0.00000000059, 2.96261275062, 14071.43950907579],\n    [0.00000000049, 1.41657179779, 2938.9403049426],\n    [0.00000000048, 2.95878690387, 11527.1250891924],\n    [0.00000000052, 0.01971915447, 8226.5788363784],\n    [0.00000000045, 5.07966377852, 3318.7615973734],\n    [0.00000000043, 1.23879381294, 7218.029365495],\n    [0.00000000058, 5.58121433163, 6643.0918177618],\n    [0.00000000048, 5.02446939402, 6645.1969867222],\n    [0.00000000043, 0.69492704598, 20995.3929664494],\n    [0.00000000044, 4.02272101657, 9389.0535407862],\n    [0.00000000055, 4.38138154697, 1478.8665740644],\n    [0.00000000051, 4.24292455428, 792.7748884674],\n    [0.00000000042, 2.74826708762, 14577.1847261198],\n    [0.00000000044, 4.18397905503, 8535.8571590342],\n    [0.00000000047, 1.33588473182, 632.7837393132],\n    [0.00000000042, 5.05676915852, 3397.5108016354],\n    [0.00000000042, 0.28204510006, 10001.48196070061],\n    [0.00000000042, 0.75310918544, 6357.7194367422],\n    [0.00000000042, 4.94532732982, 18052.9295431578],\n    [0.00000000052, 4.09912687749, 5835.1420186484],\n    [0.00000000054, 2.46533302314, 8186.5126624926],\n    [0.00000000043, 4.77713978044, 32124.36905223359],\n    [0.00000000053, 6.08293348275, 3377.217792004],\n    [0.00000000041, 2.51168269556, 4186.695261451],\n    [0.00000000041, 1.24482327948, 3212.5935833624],\n    [0.00000000041, 5.42003026893, 685.044054226],\n    [0.00000000041, 5.04768364997, 6571.0185321802],\n    [0.00000000042, 2.08904552145, 13363.4300278674],\n    [0.00000000048, 4.82888746454, 1835.3246176068],\n    [0.00000000043, 4.17203713456, 43340.6533425576],\n    [0.00000000046, 0.81640935106, 45884.967762441],\n    [0.00000000042, 2.26773068307, 12729.665967486],\n    [0.00000000039, 5.85791936573, 846.0828347512],\n    [0.00000000043, 2.90976420757, 6872.6731195112],\n    [0.00000000045, 1.98725045807, 1861.7458526354],\n    [0.00000000045, 0.50053853542, 14128.2427712456],\n    [0.00000000046, 2.86512929328, 38650.173506199],\n    [0.00000000038, 3.65846461938, 29698.2875113358],\n    [0.00000000039, 4.57679716458, 6901.6374958384],\n    [0.00000000039, 3.85504465583, 9945.5712088238],\n    [0.0000000004, 0.06127203284, 9947.0556815321],\n    [0.00000000043, 5.28854105201, 3274.1250177854],\n    [0.00000000047, 6.25707790441, 24606.13555322],\n    [0.00000000037, 5.02115296017, 11128.9760857842],\n    [0.00000000039, 1.7142191987, 7696.8878712838],\n    [0.00000000037, 4.3465298512, 3283.7140517642],\n    [0.00000000037, 0.05572748092, 21150.8133658836],\n    [0.00000000042, 4.9787204146, 13575.7488022372],\n    [0.0000000005, 4.24170332288, 7747.7203305896],\n    [0.00000000037, 4.07496312186, 8646.0634802536],\n    [0.00000000038, 0.44080908793, 24491.4257925834],\n    [0.00000000036, 1.73681874925, 3468.6312700372],\n    [0.00000000041, 5.69294900686, 26087.9031415742],\n    [0.00000000036, 1.80256389689, 8756.269801473],\n    [0.00000000036, 3.37374689465, 48429.2821823244],\n    [0.00000000035, 0.10555289345, 8742.0427074714],\n    [0.00000000041, 4.26832466355, 21000.9158907568],\n    [0.00000000038, 0.73199792046, 26084.0218062162],\n];\n\nconst VSOP87_R2: Vsop87Element = [\n    [0.00044242247, 0.47930603943, 3340.6124266998],\n    [0.00008138042, 0.86998398093, 6681.2248533996],\n    [0.00001274915, 1.22594050809, 10021.8372800994],\n    [0.00000187387, 1.57298991982, 13362.4497067992],\n    [0.00000040744, 1.9708017506, 3344.1355450488],\n    [0.00000052396, Math.PI],\n    [0.00000026616, 1.91665615762, 16703.062133499],\n    [0.00000017825, 4.43499505333, 2281.2304965106],\n    [0.00000011713, 4.5251045373, 3185.1920272656],\n    [0.00000010209, 5.39143469548, 1059.3819301892],\n    [0.0000000995, 0.41870577185, 796.2980068164],\n    [0.00000009237, 4.53579272961, 2146.1654164752],\n    [0.00000007299, 3.14218509183, 2544.3144198834],\n    [0.00000007217, 2.29300859074, 6684.7479717486],\n    [0.00000006808, 5.26702580055, 155.4203994342],\n    [0.00000006528, 2.30781369329, 3738.761430108],\n    [0.00000007785, 5.93369079547, 1748.016413067],\n    [0.0000000584, 1.05191350362, 1349.8674096588],\n    [0.00000006749, 5.30194395749, 1194.4470102246],\n    [0.00000004695, 0.76880586144, 3097.88382272579],\n    [0.00000005391, 1.00223256041, 3149.1641605882],\n    [0.00000004406, 2.45556303355, 951.7184062506],\n    [0.00000004286, 3.89643520638, 1592.5960136328],\n    [0.00000003514, 1.85168391963, 398.1490034082],\n    [0.00000003699, 2.26043707772, 20043.6745601988],\n    [0.00000003377, 3.81683532672, 1751.539531416],\n    [0.00000004585, 0.8078744174, 4136.9104335162],\n    [0.00000003201, 2.11657635165, 5614.7293762096],\n    [0.00000003622, 1.32395191387, 3333.498879699],\n    [0.00000002916, 1.19337460559, 529.6909650946],\n    [0.00000002979, 2.86481008776, 6151.533888305],\n    [0.00000003057, 4.55276793064, 5628.9564702112],\n    [0.00000002906, 1.20295377623, 3894.1818295422],\n    [0.0000000385, 3.86055626689, 553.5694028424],\n    [0.0000000282, 2.48683324916, 1990.745017041],\n    [0.00000002657, 6.07411629964, 4292.3308329504],\n    [0.000000027, 2.9213977335, 3496.032826134],\n    [0.00000002395, 5.94175921617, 2787.0430238574],\n    [0.00000002264, 2.56219866409, 191.4482661116],\n    [0.00000002167, 5.36812435483, 8962.4553499102],\n    [0.00000002149, 2.74950075397, 242.728603974],\n    [0.00000002217, 1.85265984462, 3337.0893083508],\n    [0.00000001996, 5.76429928131, 3341.592747768],\n    [0.00000001999, 3.82349238481, 2914.0142358238],\n    [0.00000001835, 5.68592723044, 1589.0728952838],\n    [0.00000001812, 3.32042068028, 5088.6288397668],\n    [0.00000002413, 4.68291336853, 4690.4798363586],\n    [0.0000000197, 4.17480610904, 3340.5951730476],\n    [0.0000000197, 6.20643855008, 3340.629680352],\n    [0.00000001627, 5.67733051452, 4535.0594369244],\n    [0.0000000216, 1.07452599834, 2388.8940204492],\n    [0.00000001964, 3.10805316088, 3583.3410306738],\n    [0.00000001985, 5.7585035184, 4399.994356889],\n    [0.00000001507, 4.95936409838, 382.8965322232],\n    [0.00000001278, 4.82232889938, 2957.7158944766],\n    [0.00000001475, 2.22707926559, 3723.508958923],\n    [0.00000001196, 3.2672445892, 9492.1463150048],\n    [0.00000001349, 4.87573224485, 6525.8044539654],\n    [0.00000001433, 2.69734916443, 7079.3738568078],\n    [0.00000001224, 2.62012336714, 10025.3603984484],\n    [0.00000001404, 5.19056026479, 2700.7151403858],\n    [0.00000001202, 0.93472783088, 2810.9214616052],\n    [0.00000000869, 5.81340811635, 12303.06777661],\n    [0.00000000867, 2.20046640409, 2699.7348193176],\n    [0.0000000083, 2.01484544773, 5092.1519581158],\n    [0.00000000855, 5.96220147975, 426.598190876],\n    [0.00000000848, 2.26407047301, 6283.0758499914],\n    [0.00000000917, 1.40295785881, 6489.776587288],\n    [0.00000000833, 1.17384197174, 7477.522860216],\n    [0.00000001041, 6.27171470048, 3347.7259737006],\n    [0.00000000965, 3.39855816541, 5621.8429232104],\n    [0.00000000722, 4.26304776331, 4933.2084403326],\n    [0.00000000706, 2.34131594714, 7.1135470008],\n    [0.00000000768, 2.06208352904, 5486.777843175],\n    [0.00000000953, 2.11123497948, 3870.3033917944],\n    [0.00000000844, 2.2393196324, 3553.9115221378],\n    [0.00000000646, 2.24669034469, 3340.545116397],\n    [0.00000000653, 3.99043329363, 6677.7017350506],\n    [0.00000000714, 0.29739480601, 6681.2421070518],\n    [0.00000000828, 0.2286361767, 3532.0606928114],\n    [0.00000000612, 1.55388376751, 7234.794256242],\n    [0.00000000714, 4.54969883976, 6681.2075997474],\n    [0.00000000586, 3.30118433303, 1221.8485663214],\n    [0.00000000646, 1.83853693231, 3340.6797370026],\n    [0.0000000056, 5.05848353328, 8031.0922630584],\n    [0.00000000651, 0.1589747216, 7632.9432596502],\n    [0.00000000488, 3.08086378649, 6836.6452528338],\n    [0.00000000534, 4.25727954634, 3339.6321056316],\n    [0.00000000504, 2.59990772815, 23384.2869868986],\n    [0.00000000372, 6.27186983164, 2487.4160449478],\n    [0.00000000343, 4.71059403854, 639.897286314],\n    [0.00000000449, 1.34123846614, 640.8776073822],\n    [0.00000000342, 5.96338023755, 4929.6853219836],\n    [0.00000000329, 2.6595525877, 9623.6882766912],\n    [0.00000000352, 6.09567212646, 7740.6067835888],\n    [0.00000000326, 6.05498346093, 2118.7638603784],\n    [0.00000000403, 4.96465831103, 8969.568896911],\n    [0.00000000402, 2.84624835384, 5331.3574437408],\n    [0.00000000319, 1.44545457475, 5729.506447149],\n    [0.00000000303, 0.01918776551, 6127.6554505572],\n    [0.00000000297, 5.74070606294, 6041.3275670856],\n    [0.00000000297, 3.06763224975, 10419.9862835076],\n    [0.00000000282, 6.04069352017, 7875.6718636242],\n    [0.00000000278, 5.11654962157, 11773.3768115154],\n    [0.00000000259, 2.89786343627, 7210.9158184942],\n    [0.00000000273, 3.83181794308, 8429.2412664666],\n    [0.00000000256, 1.08862226474, 2288.3440435114],\n    [0.00000000288, 6.1357268768, 6682.2051744678],\n    [0.00000000302, 3.61490647715, 12832.7587417046],\n    [0.00000000235, 2.21413387615, 6681.2921637024],\n    [0.00000000317, 3.60634897209, 2301.58581590939],\n    [0.00000000289, 5.08223311018, 2274.1169495098],\n    [0.00000000254, 0.36603904729, 3767.2106175758],\n    [0.00000000235, 2.6243448155, 6681.1575430968],\n    [0.00000000226, 3.45305949713, 6923.9534573736],\n    [0.00000000205, 3.88943452829, 10018.3141617504],\n    [0.00000000206, 3.44453113177, 10177.2576795336],\n    [0.0000000021, 0.57926734389, 10973.55568635],\n    [0.00000000194, 1.57870686859, 10818.1352869158],\n    [0.0000000019, 2.42312911773, 8955.3418029094],\n    [0.00000000194, 2.45887376159, 7064.1213856228],\n    [0.00000000193, 0.58793888724, 5828.0284716476],\n    [0.00000000183, 1.68247271963, 213.299095438],\n    [0.00000000236, 1.98863774162, 10575.4066829418],\n    [0.00000000245, 2.17761779228, 4562.4609930212],\n    [0.00000000177, 0.66379705293, 10021.8545337516],\n    [0.00000000176, 4.91607557961, 10021.8200264472],\n    [0.00000000217, 2.93968443649, 13365.9728251482],\n    [0.00000000167, 4.74764434327, 3914.9572250346],\n    [0.00000000213, 0.15734917857, 2942.4634232916],\n    [0.00000000155, 1.78776991092, 9830.3890139878],\n    [0.0000000018, 5.21088564787, 9866.4168806652],\n    [0.00000000161, 5.1768386138, 6298.3283211764],\n    [0.00000000159, 2.6898068485, 6894.5239488376],\n    [0.00000000149, 6.26524493469, 1039.0266107904],\n    [0.00000000147, 0.36939961702, 6688.3384004004],\n    [0.00000000151, 1.2227289229, 574.3447983348],\n    [0.00000000137, 2.09492296067, 1066.49547719],\n    [0.00000000165, 6.15952050903, 15643.6802033098],\n    [0.00000000163, 4.66507592292, 8273.8208670324],\n    [0.00000000124, 0.67855210339, 6438.4962494256],\n    [0.00000000128, 1.69206367749, 3981.490034082],\n    [0.00000000116, 2.78191248964, 3360.96774609859],\n    [0.00000000128, 0.84461423001, 3355.8648978848],\n    [0.00000000124, 1.63253732557, 6674.1113063988],\n    [0.0000000012, 0.31762150109, 3127.3133312618],\n    [0.00000000129, 2.26678583645, 6467.9257579616],\n    [0.00000000104, 0.07355376701, 3325.3599555148],\n    [0.0000000013, 4.4177719083, 3320.257107301],\n    [0.00000000095, 1.31957248342, 7903.073419721],\n    [0.00000000114, 0.65681602343, 3178.1457905676],\n    [0.00000000092, 4.98392367746, 9779.1086761254],\n    [0.00000000101, 4.10670787374, 536.8045120954],\n    [0.00000000106, 5.41622566807, 15113.9892382152],\n    [0.00000000096, 3.52561014696, 3475.6775067352],\n    [0.00000000101, 2.91169549546, 692.1576012268],\n    [0.00000000093, 3.21464368291, 8671.9698704406],\n    [0.00000000087, 5.24375873119, 13119.72110282519],\n    [0.00000000106, 3.76804681559, 13517.8701062334],\n    [0.00000000089, 5.73652101746, 11371.7046897582],\n    [0.00000000104, 5.90078964406, 8432.7643848156],\n    [0.00000000099, 3.61425346453, 853.196381752],\n    [0.00000000078, 0.95802015551, 3191.0492295652],\n    [0.00000000089, 2.50872076312, 1052.2683831884],\n    [0.00000000078, 2.98115354616, 26724.8994135984],\n    [0.00000000079, 5.9151499393, 6040.3472460174],\n    [0.0000000009, 3.00950470302, 12964.300703391],\n    [0.00000000075, 1.31512531841, 17924.9106998204],\n    [0.00000000073, 5.01153593776, 1903.4368125012],\n    [0.00000000075, 2.57969241717, 10021.9045904022],\n    [0.00000000073, 4.09954161905, 3319.8370312074],\n    [0.0000000007, 5.37678396256, 12310.1813236108],\n    [0.00000000071, 0.9842299824, 13362.4669604514],\n    [0.00000000068, 4.69140248943, 522.5774180938],\n    [0.00000000068, 3.24217441291, 16706.585251848],\n    [0.00000000069, 2.53964193741, 5884.9268465832],\n    [0.0000000007, 2.38237948321, 13916.0191096416],\n    [0.00000000066, 3.48443797546, 13760.5987102074],\n    [0.00000000068, 5.27435069681, 3980.5097130138],\n    [0.00000000076, 0.12288413214, 11216.284290324],\n    [0.00000000073, 3.94785759909, 16173.3711684044],\n    [0.00000000062, 0.15518975647, 11081.2192102886],\n    [0.00000000074, 2.99926779692, 10021.7699697966],\n    [0.0000000008, 6.18812323827, 9380.9596727172],\n    [0.00000000064, 3.99294283669, 13358.9265884502],\n    [0.00000000061, 2.56817782412, 149.5631971346],\n    [0.00000000059, 3.80850908229, 10264.5658840734],\n    [0.0000000006, 4.79879360562, 1437.1756141986],\n    [0.00000000068, 2.07515658228, 1596.1864422846],\n    [0.0000000006, 2.26503107747, 28628.3362260996],\n    [0.00000000058, 6.10782258899, 5459.3762870782],\n    [0.00000000063, 0.24407077742, 18984.2926300096],\n    [0.00000000058, 5.22738430747, 13362.432453147],\n    [0.00000000056, 1.88708253797, 9070.1188738488],\n    [0.00000000055, 5.72587156499, 433.7117378768],\n    [0.00000000056, 1.18238857561, 6696.4773245846],\n    [0.00000000062, 3.98214740104, 3427.9206312396],\n    [0.00000000056, 5.37129176649, 5099.2655051166],\n    [0.00000000057, 0.86204712032, 5642.1982426092],\n    [0.00000000055, 1.31787605222, 8982.810669309],\n    [0.00000000056, 5.49808236951, 24093.2767891752],\n    [0.00000000054, 3.77562154746, 10213.285546211],\n    [0.00000000054, 2.36294643031, 33716.9650658664],\n    [0.00000000063, 3.53402427573, 3205.5473466644],\n    [0.00000000066, 6.25810929981, 8270.2977486834],\n    [0.00000000067, 0.5859281308, 3335.0895023924],\n    [0.00000000055, 4.74995645767, 6660.8695340008],\n    [0.00000000053, 0.31930032532, 12721.572099417],\n    [0.00000000069, 2.42905593362, 6158.6474353058],\n    [0.00000000055, 5.03192783121, 7255.5696517344],\n    [0.00000000051, 5.45351947711, 13207.029307365],\n    [0.0000000005, 0.23368526162, 4379.6390374902],\n    [0.00000000053, 2.1282634402, 13171.0014406876],\n    [0.00000000049, 2.35512151368, 4032.7700279266],\n    [0.00000000049, 2.8177305089, 9808.5381846614],\n    [0.00000000067, 2.26295786556, 2766.267628365],\n    [0.00000000049, 0.72597680486, 10028.9508271002],\n    [0.0000000005, 6.1011945035, 3253.30422216],\n    [0.00000000059, 0.27861398526, 9225.539273283],\n    [0.00000000053, 1.27330874549, 3344.4937620578],\n    [0.00000000049, 2.91499389416, 10404.7338123226],\n    [0.00000000047, 0.48598973231, 17395.2197347258],\n    [0.00000000049, 3.40240207389, 3304.5845600224],\n    [0.0000000006, 3.40554368741, 10551.528245194],\n    [0.0000000005, 1.83471955355, 30376.3526391666],\n    [0.00000000046, 3.04980996832, 6144.4203413042],\n    [0.00000000049, 0.33200904496, 6702.000248892],\n    [0.00000000053, 0.35820094732, 9468.267877257],\n    [0.0000000005, 0.15378507249, 2648.454825473],\n    [0.00000000044, 0.79762157297, 7107.8230442756],\n    [0.0000000005, 2.41332661328, 4407.1079038898],\n    [0.00000000054, 0.21682940856, 10022.8176011676],\n    [0.00000000044, 5.78502737591, 3364.4908644476],\n    [0.00000000044, 0.75508636274, 16062.1845261168],\n    [0.00000000043, 3.10581037685, 10235.1363755374],\n    [0.00000000044, 5.21252098878, 7373.3824546264],\n    [0.00000000058, 4.51680312444, 6660.4494579072],\n    [0.00000000043, 0.15523355839, 1505.28780909299],\n    [0.00000000055, 5.93371026829, 8439.8779318164],\n    [0.00000000042, 5.40417232308, 3344.2028553516],\n    [0.00000000056, 3.87534582911, 6816.289933435],\n    [0.00000000049, 5.57153056447, 17468.8551979454],\n    [0.00000000046, 3.07783299049, 12722.5524204852],\n    [0.00000000045, 1.49303542795, 6247.5131155228],\n    [0.00000000055, 6.26098836404, 3361.3878221922],\n    [0.00000000042, 4.74455545491, 3369.0616141676],\n    [0.0000000004, 1.58676666294, 2818.035008606],\n    [0.00000000043, 4.97295184315, 3337.021998048],\n    [0.00000000055, 3.8021563852, 3376.6402933772],\n    [0.00000000047, 1.97367775421, 1581.959348283],\n    [0.00000000045, 2.03598705348, 5244.049239201],\n    [0.00000000049, 4.43182954044, 9595.2390892234],\n    [0.00000000043, 0.38914582094, 6665.9723822146],\n    [0.0000000004, 1.06953099245, 23695.127785767],\n    [0.00000000038, 0.59996214864, 10713.9948813262],\n    [0.00000000039, 3.79055778605, 33318.8160624582],\n    [0.00000000041, 5.54542347834, 3863.1898447936],\n    [0.00000000037, 5.27208151144, 20752.6643624754],\n    [0.00000000039, 3.15412760412, 14469.588512484],\n    [0.00000000041, 0.55705920174, 3346.1353510072],\n    [0.00000000048, 1.42210748234, 3316.733988952],\n    [0.00000000049, 5.44942247991, 9638.9407478762],\n    [0.00000000038, 2.11846271943, 15664.03552270859],\n    [0.00000000035, 5.30782933148, 6677.6344247478],\n    [0.00000000036, 2.68151450016, 8584.6616659008],\n    [0.00000000046, 3.09450395763, 6701.5801727984],\n    [0.00000000038, 1.81885395671, 14158.7477136156],\n    [0.00000000037, 5.80483071722, 6684.8152820514],\n    [0.00000000047, 2.60317702777, 162.4666361322],\n    [0.00000000038, 2.22559377525, 3503.079062832],\n    [0.00000000035, 0.84358942718, 6518.7582172674],\n    [0.00000000033, 4.92302322062, 23141.5583829246],\n    [0.00000000043, 0.95148893985, 34115.1140692746],\n    [0.00000000046, 4.99457196207, 9381.9399937854],\n    [0.00000000043, 1.73832102244, 12323.4230960088],\n    [0.00000000032, 2.92741580696, 9499.2598620056],\n    [0.00000000043, 1.50296327105, 27035.7402124668],\n    [0.00000000033, 5.41731109688, 20597.2439630412],\n    [0.00000000032, 4.13881058425, 31570.7996493912],\n    [0.0000000004, 5.8446306918, 16460.33352952499],\n    [0.00000000035, 5.50083743557, 8425.6508378148],\n    [0.00000000038, 5.91991985929, 3336.7310913418],\n    [0.0000000003, 5.09155042811, 5085.038411115],\n    [0.00000000031, 4.27211180916, 36659.428489158],\n    [0.0000000003, 4.87389489592, 1692.1656695024],\n    [0.0000000003, 3.75494646937, 4845.9002357928],\n    [0.00000000034, 3.71030605417, 8827.3902698748],\n    [0.0000000003, 0.0159945685, 11243.6858464208],\n    [0.00000000029, 2.66198696023, 12295.9542296092],\n    [0.00000000028, 3.12114207206, 11925.2740926006],\n    [0.00000000036, 1.16568750904, 18052.9295431578],\n    [0.00000000032, 1.72704226918, 12566.1516999828],\n    [0.00000000028, 2.80254457895, 3607.2194684216],\n    [0.00000000032, 4.04390839531, 6680.2445323314],\n    [0.00000000027, 2.53565904393, 19004.6479494084],\n    [0.00000000036, 3.33518515689, 29978.2036357584],\n    [0.00000000028, 0.58104982217, 20354.5153590672],\n    [0.00000000029, 5.85207825749, 31172.650645983],\n    [0.00000000026, 2.22598820379, 3.523118349],\n    [0.00000000033, 5.15903548241, 10596.1820784342],\n    [0.00000000028, 1.89792803028, 3333.5661900018],\n    [0.00000000027, 2.25129832716, 76.2660712756],\n    [0.00000000026, 4.32703172263, 17085.9586657222],\n    [0.00000000026, 5.12847780702, 11766.2632645146],\n    [0.00000000028, 0.80926596905, 20735.83216142559],\n    [0.00000000026, 5.06814803493, 17412.0519357756],\n    [0.00000000024, 4.473991556, 3134.4268782626],\n    [0.00000000024, 4.35557152695, 14584.2982731206],\n    [0.00000000027, 4.98717355201, 3877.4169387952],\n    [0.00000000025, 5.63712701265, 14054.607308026],\n    [0.00000000024, 4.12573657295, 4193.8088084518],\n    [0.00000000025, 1.40880282063, 8186.5126624926],\n    [0.00000000024, 4.96463811748, 26087.9031415742],\n];\n\nconst VSOP87_R3: Vsop87Element = [\n    [0.00001113107, 5.14987350142, 3340.6124266998],\n    [0.00000424446, 5.61343766478, 6681.2248533996],\n    [0.00000100044, 5.99726827028, 10021.8372800994],\n    [0.00000019606, 0.07633062094, 13362.4497067992],\n    [0.00000003477, 0.42951907576, 16703.062133499],\n    [0.00000004693, Math.PI],\n    [0.00000002869, 0.44711842697, 3344.1355450488],\n    [0.00000002428, 3.02115527957, 3185.1920272656],\n    [0.00000000688, 0.80693359444, 6684.7479717486],\n    [0.0000000054, 3.86836515672, 1059.3819301892],\n    [0.00000000577, 0.7785327512, 20043.6745601988],\n    [0.00000000468, 4.52450786544, 3496.032826134],\n    [0.00000000487, 1.60862391345, 3583.3410306738],\n    [0.00000000362, 4.42397903418, 2787.0430238574],\n    [0.00000000397, 5.71967986581, 3149.1641605882],\n    [0.00000000299, 0.75640033535, 3738.761430108],\n    [0.0000000035, 5.55691984889, 4136.9104335162],\n    [0.00000000314, 3.37632898783, 6525.8044539654],\n    [0.00000000233, 2.13965262306, 3097.88382272579],\n    [0.00000000212, 4.20487494011, 3341.592747768],\n    [0.00000000214, 0.56779556947, 155.4203994342],\n    [0.00000000201, 2.35284464564, 1592.5960136328],\n    [0.00000000204, 0.96723315302, 1990.745017041],\n    [0.0000000023, 5.82959057146, 2388.8940204492],\n    [0.0000000016, 4.14974194757, 4535.0594369244],\n    [0.00000000156, 5.13345210285, 796.2980068164],\n    [0.00000000146, 3.29541339704, 2957.7158944766],\n    [0.00000000156, 1.13805508457, 10025.3603984484],\n    [0.00000000159, 3.76174286126, 1194.4470102246],\n    [0.00000000136, 5.58293924642, 3894.1818295422],\n    [0.00000000145, 3.02112488974, 3337.0893083508],\n    [0.00000000146, 4.25359617225, 4399.994356889],\n    [0.000000001, 4.26740096115, 1589.0728952838],\n    [0.00000000091, 6.12108227231, 6489.776587288],\n    [0.00000000101, 1.17242141914, 7079.3738568078],\n    [0.00000000098, 1.12613498307, 23384.2869868986],\n    [0.00000000075, 6.02182689533, 529.6909650946],\n    [0.00000000078, 5.93418069229, 7477.522860216],\n    [0.00000000068, 1.70775041911, 9492.1463150048],\n    [0.0000000007, 3.67253155189, 8962.4553499102],\n    [0.00000000062, 4.14954627063, 4292.3308329504],\n    [0.00000000067, 0.1509224655, 3870.3033917944],\n    [0.00000000066, 1.12578506413, 6151.533888305],\n    [0.00000000062, 1.93984222091, 6923.9534573736],\n    [0.0000000006, 4.30641513096, 12303.06777661],\n    [0.00000000074, 4.72156358149, 3347.7259737006],\n    [0.00000000055, 2.75742802464, 4933.2084403326],\n    [0.00000000053, 4.77894621871, 6127.6554505572],\n    [0.0000000005, 2.57807944338, 3340.5951730476],\n    [0.00000000048, 3.72532068729, 9866.4168806652],\n    [0.00000000042, 6.15391373101, 7234.794256242],\n    [0.00000000043, 3.43955584179, 5486.777843175],\n    [0.0000000005, 4.60885064189, 3340.629680352],\n    [0.00000000044, 4.47943289816, 426.598190876],\n    [0.00000000045, 6.244852075, 2274.1169495098],\n    [0.0000000004, 0.73805316471, 7.1135470008],\n    [0.00000000038, 1.06497784748, 9623.6882766912],\n    [0.00000000041, 4.60954640493, 6682.2051744678],\n    [0.00000000038, 4.60963924082, 7740.6067835888],\n    [0.00000000036, 3.15129246169, 639.897286314],\n    [0.00000000037, 6.14629970622, 5729.506447149],\n    [0.0000000004, 1.4739554485, 13365.9728251482],\n    [0.00000000035, 2.60772245492, 4690.4798363586],\n    [0.00000000035, 2.450779319, 2288.3440435114],\n    [0.00000000034, 4.50544497582, 7875.6718636242],\n    [0.00000000042, 2.11383330882, 12832.7587417046],\n    [0.00000000033, 3.97655860802, 191.4482661116],\n    [0.00000000032, 4.06047154083, 3532.0606928114],\n    [0.00000000034, 5.06671994554, 6681.2421070518],\n    [0.00000000042, 4.67024017441, 15643.6802033098],\n    [0.00000000036, 0.29140871479, 3723.508958923],\n    [0.00000000033, 4.52588149629, 4929.6853219836],\n    [0.00000000034, 2.7449907289, 6677.7017350506],\n    [0.0000000003, 1.57743012295, 10419.9862835076],\n    [0.0000000004, 1.31713176335, 5331.3574437408],\n    [0.00000000034, 3.03490000148, 6681.2075997474],\n    [0.00000000031, 1.25306164576, 242.728603974],\n    [0.00000000029, 5.44118048011, 10021.8545337516],\n    [0.00000000029, 3.41037097794, 10021.8200264472],\n    [0.00000000028, 4.81855060968, 6836.6452528338],\n    [0.00000000028, 0.72745302325, 6283.0758499914],\n    [0.0000000003, 3.06267495632, 2281.2304965106],\n    [0.00000000027, 0.62535799761, 6681.2921637024],\n    [0.0000000003, 3.56389476096, 8969.568896911],\n    [0.00000000032, 5.31078691958, 553.5694028424],\n    [0.00000000033, 2.00753799963, 5884.9268465832],\n    [0.00000000027, 1.18001479303, 8955.3418029094],\n    [0.00000000025, 2.94122791628, 2544.3144198834],\n    [0.00000000025, 0.17808889827, 9830.3890139878],\n    [0.00000000031, 5.73384204593, 3339.6321056316],\n    [0.00000000028, 3.70436008855, 6298.3283211764],\n    [0.00000000024, 0.07739730466, 10818.1352869158],\n    [0.00000000027, 1.03401737006, 6681.1575430968],\n    [0.00000000024, 0.09987383242, 382.8965322232],\n    [0.00000000027, 0.60053652251, 3553.9115221378],\n    [0.00000000027, 4.97107900859, 3767.2106175758],\n    [0.00000000024, 3.36621347824, 8031.0922630584],\n    [0.00000000026, 4.80509833364, 7632.9432596502],\n    [0.00000000022, 1.43966107077, 26724.8994135984],\n    [0.0000000002, 0.36901153144, 398.1490034082],\n    [0.00000000019, 1.00325306041, 7064.1213856228],\n    [0.0000000002, 0.19821371186, 6674.1113063988],\n    [0.00000000018, 1.07169297658, 7210.9158184942],\n    [0.00000000021, 2.6951214034, 10018.3141617504],\n    [0.00000000023, 3.25670295081, 5621.8429232104],\n    [0.00000000018, 0.24542781929, 3981.490034082],\n    [0.00000000018, 5.14428605713, 6688.3384004004],\n    [0.0000000002, 0.97539014916, 6894.5239488376],\n    [0.00000000024, 4.42156401638, 1748.016413067],\n    [0.00000000016, 0.6538950344, 3340.545116397],\n    [0.00000000016, 5.28427106012, 3333.498879699],\n];\n\nconst VSOP87_R4: Vsop87Element = [\n    [0.00000019552, 3.58211650473, 3340.6124266998],\n    [0.00000016323, 4.05116076923, 6681.2248533996],\n    [0.00000005848, 4.46383962094, 10021.8372800994],\n    [0.00000001532, 4.84374321619, 13362.4497067992],\n    [0.00000000375, 1.50962233608, 3185.1920272656],\n    [0.00000000339, 5.20684967613, 16703.062133499],\n    [0.00000000151, 5.16472931648, 3344.1355450488],\n    [0.00000000125, 2.19233532803, 3496.032826134],\n    [0.00000000148],\n    [0.00000000087, 0.10275067375, 3583.3410306738],\n    [0.0000000007, 5.55303619365, 20043.6745601988],\n    [0.00000000048, 2.91797786512, 2787.0430238574],\n    [0.00000000049, 5.5703851483, 6684.7479717486],\n    [0.00000000057, 1.86867280743, 6525.8044539654],\n    [0.00000000034, 3.63370917313, 3097.88382272579],\n    [0.00000000021, 2.30677637991, 1059.3819301892],\n    [0.00000000021, 4.03682122005, 4136.9104335162],\n    [0.00000000018, 4.1743875589, 3149.1641605882],\n    [0.00000000013, 1.97805475719, 155.4203994342],\n    [0.00000000017, 5.9485641469, 10025.3603984484],\n    [0.00000000012, 0.51097435253, 6923.9534573736],\n    [0.00000000012, 3.27945299261, 6127.6554505572],\n    [0.00000000013, 2.22938285522, 9866.4168806652],\n    [0.00000000016, 2.64206771227, 4399.994356889],\n    [0.00000000013, 2.75813969974, 6836.6452528338],\n    [0.00000000013, 4.51988349676, 6489.776587288],\n    [0.00000000014, 0.76591550754, 3894.1818295422],\n    [0.00000000011, 5.47381242145, 3738.761430108],\n];\n\nconst VSOP87_R5: Vsop87Element = [\n    [0.00000000476, 2.47617204701, 6681.2248533996],\n    [0.00000000268, 2.91510547706, 10021.8372800994],\n    [0.00000000115, 1.76888962311, 3340.6124266998],\n    [0.00000000096, 3.31378377179, 13362.4497067992],\n    [0.00000000048, 6.27457828287, 3185.1920272656],\n    [0.00000000027, 3.69380877066, 16703.062133499],\n    [0.00000000013, 3.72005807206, 3496.032826134],\n    [0.00000000012, 4.88179002689, 3583.3410306738],\n    [0.00000000012, Math.PI],\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    [6.20347711581],\n    [0.18656368093, 5.0503710027, 3340.6124266998],\n    [0.01108216816, 5.40099836344, 6681.2248533996],\n    [0.00091798406, 5.75478744667, 10021.8372800994],\n    [0.00027744987, 5.97049513147, 3.523118349],\n    [0.00010610235, 2.93958560338, 2281.2304965106],\n    [0.00012315897, 0.84956094002, 2810.9214616052],\n    [0.00008926784, 4.15697846427, 0.0172536522],\n    [0.00008715691, 6.11005153139, 13362.4497067992],\n    [0.00006797556, 0.36462229657, 398.1490034082],\n    [0.00007774872, 3.33968761376, 5621.8429232104],\n    [0.00003575078, 1.6618650571, 2544.3144198834],\n    [0.00004161108, 0.22814971327, 2942.4634232916],\n    [0.00003075252, 0.85696614132, 191.4482661116],\n    [0.00002628117, 0.64806124465, 3337.0893083508],\n    [0.00002937546, 6.07893711402, 0.0673103028],\n    [0.00002389414, 5.03896442664, 796.2980068164],\n    [0.00002579844, 0.02996736156, 3344.1355450488],\n    [0.00001528141, 1.14979301996, 6151.533888305],\n    [0.00001798806, 0.65634057445, 529.6909650946],\n    [0.00001264357, 3.62275122593, 5092.1519581158],\n    [0.00001286228, 3.06796065034, 2146.1654164752],\n    [0.00001546404, 2.91579701718, 1751.539531416],\n    [0.00001024902, 3.69334099279, 8962.4553499102],\n    [0.00000891566, 0.18293837498, 16703.062133499],\n    [0.00000858759, 2.4009381194, 2914.0142358238],\n    [0.00000832715, 2.46418619474, 3340.5951730476],\n    [0.0000083272, 4.49495782139, 3340.629680352],\n    [0.00000712902, 3.66335473479, 1059.3819301892],\n    [0.00000748723, 3.82248614017, 155.4203994342],\n    [0.00000723861, 0.67497311481, 3738.761430108],\n    [0.00000635548, 2.92182225127, 8432.7643848156],\n    [0.00000655162, 0.48864064125, 3127.3133312618],\n    [0.00000550474, 3.81001042328, 0.9803210682],\n    [0.0000055275, 4.47479317037, 1748.016413067],\n    [0.00000425966, 0.55364317304, 6283.0758499914],\n    [0.00000415131, 0.49662285038, 213.299095438],\n    [0.00000472167, 3.62547124025, 1194.4470102246],\n    [0.00000306551, 0.38052848348, 6684.7479717486],\n    [0.00000312141, 0.99853944405, 6677.7017350506],\n    [0.00000293198, 4.22131299634, 20.7753954924],\n    [0.00000302375, 4.48618007156, 3532.0606928114],\n    [0.00000274027, 0.54222167059, 3340.545116397],\n    [0.00000281079, 5.88163521788, 1349.8674096588],\n    [0.00000231183, 1.28242156993, 3870.3033917944],\n    [0.00000283602, 5.7688543494, 3149.1641605882],\n    [0.00000236117, 5.75503217933, 3333.498879699],\n    [0.00000274033, 0.13372524985, 3340.6797370026],\n    [0.00000299395, 2.78323740866, 6254.6266625236],\n    [0.00000204162, 2.82133445874, 1221.8485663214],\n    [0.00000238866, 5.37153646326, 4136.9104335162],\n    [0.00000188648, 1.4910406604, 9492.1463150048],\n    [0.00000221228, 3.50466812198, 382.8965322232],\n    [0.00000179196, 1.00561962003, 951.7184062506],\n    [0.00000172117, 0.43943649536, 5486.777843175],\n    [0.00000193118, 3.35716641911, 3.5904286518],\n    [0.00000144304, 1.41874112114, 135.0650800354],\n    [0.00000160016, 3.94857092451, 4562.4609930212],\n    [0.00000174072, 2.41361337725, 553.5694028424],\n    [0.00000130989, 4.04491134956, 12303.06777661],\n    [0.00000138243, 4.30145122848, 7.1135470008],\n    [0.00000128062, 1.8066581622, 5088.6288397668],\n    [0.00000139898, 3.32595559208, 2700.7151403858],\n    [0.00000128105, 2.20807538189, 1592.5960136328],\n    [0.00000116944, 3.12806863456, 7903.073419721],\n    [0.00000110378, 1.05194545948, 242.728603974],\n    [0.00000113481, 3.70070432339, 1589.0728952838],\n    [0.00000100099, 3.24340223714, 11773.3768115154],\n    [0.00000095594, 0.53950648295, 20043.6745601988],\n    [0.00000098947, 4.84558326403, 6681.2421070518],\n    [0.00000104542, 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[0.00000000057, 0.28187782188, 4558.9378746722],\n    [0.00000000059, 0.28351688317, 4565.9841113702],\n    [0.00000000058, 0.47150770624, 4140.4335518652],\n    [0.00000000052, 2.67305259324, 19247.3765533824],\n    [0.00000000061, 4.33806308874, 8695.8483081884],\n    [0.00000000071, 1.0187328087, 7668.9711263276],\n    [0.00000000056, 2.06509121766, 12502.1397780464],\n    [0.00000000051, 6.03668121035, 6719.3578890374],\n    [0.0000000006, 0.77450277046, 3319.2767862328],\n    [0.00000000051, 3.92795812352, 3353.85419909779],\n    [0.00000000051, 2.8987387241, 22854.596021804],\n    [0.00000000051, 2.00779962852, 2957.7331481288],\n    [0.00000000053, 5.07857417426, 14951.522602083],\n    [0.00000000064, 1.36079827459, 23024.176204937],\n    [0.00000000053, 3.57183813569, 6836.577942531],\n    [0.00000000051, 1.95411630686, 3327.3706543018],\n    [0.0000000005, 0.37366902916, 3322.7999045818],\n    [0.00000000053, 0.26142839753, 41990.7859328988],\n    [0.00000000054, 6.27949370995, 35707.7100829074],\n    [0.00000000049, 0.06709673316, 10787.6303445458],\n    [0.00000000051, 2.54863900486, 4001.8453534808],\n    [0.00000000053, 1.18631858606, 34554.8138636676],\n    [0.00000000048, 4.04972593744, 114.3991069134],\n    [0.00000000049, 0.3292093485, 41748.0573289248],\n    [0.00000000048, 2.81171553545, 3372.5847325166],\n    [0.00000000061, 1.00871506195, 16511.6138673874],\n    [0.00000000053, 3.71538403834, 10050.2864675672],\n    [0.00000000047, 4.46160440369, 6151.5166346528],\n    [0.00000000048, 1.63487940392, 20213.25474333179],\n    [0.00000000051, 3.56556636385, 19403.7772738848],\n    [0.00000000054, 0.78070691021, 41194.4879260824],\n    [0.00000000047, 6.10253848179, 10037.0897512844],\n    [0.0000000005, 1.45609883704, 3717.9860346156],\n    [0.0000000005, 5.05658775146, 4694.0029547076],\n    [0.00000000063, 5.78355830951, 9090.4741932476],\n    [0.0000000005, 3.75626474913, 3987.6232600146],\n    [0.00000000047, 2.91658062679, 9488.6231966558],\n    [0.00000000046, 2.69392312363, 17232.7530985936],\n    [0.00000000055, 5.61673764413, 45494.58142974879],\n    [0.00000000046, 3.66390779389, 14955.045720432],\n    [0.00000000046, 4.56516015922, 20199.02764933019],\n    [0.00000000054, 4.71237273616, 2281.1631862078],\n    [0.00000000047, 1.67898138956, 3130.8364496108],\n    [0.00000000054, 4.28556627685, 2910.4911174748],\n    [0.00000000048, 0.7225096474, 18617.0683010472],\n    [0.00000000045, 2.2839393616, 22986.1379834904],\n    [0.00000000049, 2.14605615, 19830.3754647608],\n    [0.00000000047, 4.12536462391, 23009.94911093539],\n    [0.00000000049, 5.16525026592, 3774.3241645766],\n    [0.00000000045, 3.89882558892, 12988.111830836],\n    [0.00000000048, 4.74927850843, 529.6737114424],\n    [0.00000000055, 4.19502260708, 20043.6573065466],\n    [0.00000000057, 1.14903860224, 7747.7203305896],\n    [0.00000000044, 0.79186614799, 26357.675084636],\n    [0.00000000044, 3.13459824792, 13951.5145338074],\n    [0.00000000043, 2.23439626313, 1987.221898692],\n    [0.00000000058, 2.28159262648, 10006.5848089144],\n    [0.00000000046, 0.16036583144, 18763.8799875708],\n    [0.00000000045, 1.7230204627, 17402.3332817266],\n    [0.00000000043, 5.7583185499, 25298.2931544468],\n    [0.00000000047, 5.2743793228, 423.075072527],\n    [0.0000000006, 3.50233382826, 6511.6446702666],\n    [0.00000000043, 1.82217346876, 10017.9559447414],\n    [0.00000000049, 4.64906795465, 6251.1035441746],\n    [0.00000000042, 5.31789294983, 11368.1815714092],\n    [0.00000000048, 0.49685981802, 529.7082187468],\n    [0.00000000051, 0.63985050945, 17499.3601403154],\n    [0.00000000048, 0.19901251387, 1905.4647649404],\n    [0.00000000055, 1.08536866814, 1059.364676537],\n    [0.00000000056, 4.31837960167, 13358.8592781474],\n    [0.00000000046, 3.71161153699, 8958.5231966471],\n    [0.00000000042, 3.41202446638, 7788.3636590844],\n    [0.0000000005, 2.27112469625, 3427.9206312396],\n    [0.00000000055, 5.25814691818, 12808.8803039568],\n    [0.00000000048, 0.28684868478, 11935.8434476476],\n    [0.0000000005, 0.30214747846, 3358.4249488178],\n    [0.00000000043, 5.05297177364, 3229.4257844122],\n    [0.00000000041, 4.11754654123, 6553.2060100622],\n    [0.00000000043, 1.90603004116, 3451.7990689874],\n    [0.00000000046, 4.45432031146, 3707.8367556622],\n    [0.00000000041, 2.8842706423, 927.8399685028],\n    [0.0000000004, 5.10715968924, 14715.840234807],\n    [0.0000000005, 5.23088101452, 2373.6415492642],\n    [0.00000000039, 3.58038785427, 9124.9219860424],\n    [0.00000000052, 4.06208791228, 17660.303464057],\n    [0.00000000043, 0.22819734412, 10025.7186154574],\n    [0.0000000004, 2.65434458508, 3341.7930693519],\n    [0.00000000049, 5.4007809772, 17762.4440636882],\n    [0.00000000039, 0.41453755531, 5096.0841113789],\n    [0.00000000052, 2.59285184666, 2538.2485042536],\n    [0.00000000045, 4.19179574727, 37057.5774925662],\n    [0.00000000043, 4.02858922778, 6258.1497808726],\n    [0.00000000041, 1.71920640714, 10507.809332889],\n    [0.00000000038, 2.11769718484, 8123.4860621598],\n    [0.00000000049, 2.41908302484, 20441.823563607],\n    [0.00000000046, 3.05701386187, 2324.9494088156],\n    [0.00000000045, 5.57751456016, 15423.267560871],\n    [0.0000000004, 2.80315795515, 7520.19414115],\n    [0.0000000005, 3.42753416123, 52566.19261584059],\n    [0.00000000049, 2.1165360514, 22189.839976674],\n    [0.00000000043, 3.04326197275, 41592.6369294906],\n    [0.00000000039, 3.58098532394, 867.9336640776],\n    [0.0000000004, 3.20381465754, 29428.515568274],\n    [0.00000000038, 3.65843764774, 13341.6743113068],\n    [0.00000000037, 3.99759212306, 12725.453434775],\n    [0.00000000042, 4.13817253189, 8336.7851575978],\n    [0.00000000038, 0.5809949958, 8966.3875031733],\n    [0.00000000049, 2.27415271613, 3123.7902129128],\n    [0.00000000037, 3.14802303104, 5466.4225237762],\n    [0.00000000046, 1.23573182695, 11787.603905517],\n    [0.00000000037, 5.60013944614, 8123.503315812],\n    [0.00000000039, 2.12359970883, 23387.8101052476],\n    [0.00000000037, 5.00181395644, 17810.2009391838],\n    [0.00000000038, 6.00950016545, 4295.8539512994],\n    [0.0000000004, 6.05295156557, 6151.5511419572],\n    [0.00000000036, 0.4267490089, 9997.9588423516],\n    [0.00000000044, 4.13342515647, 12192.8614553906],\n    [0.00000000037, 2.57249437155, 9815.1365428028],\n    [0.00000000036, 0.30459710615, 10618.0156541084],\n    [0.00000000039, 1.53352233747, 6683.9763640106],\n    [0.0000000005, 5.87136225569, 4396.47123854],\n    [0.0000000004, 4.58209614492, 8294.1761864312],\n    [0.00000000036, 3.2649738782, 16269.35039562219],\n    [0.0000000004, 4.17543231683, 9962.4634181858],\n    [0.00000000036, 1.9591812397, 360.1107819616],\n    [0.00000000038, 2.38454082948, 24093.2767891752],\n    [0.00000000036, 2.85429847882, 6549.6828917132],\n    [0.00000000038, 3.54096291728, 19683.5637782372],\n    [0.00000000037, 3.74762124247, 1045.1548361876],\n    [0.00000000043, 5.45850357191, 17608.5188301638],\n    [0.00000000039, 5.8800174671, 4709.2726795448],\n    [0.0000000004, 4.23855320433, 3339.4317840477],\n    [0.00000000042, 3.73781410726, 7593.7950970652],\n];\n\nconst VSOP87_L1: Vsop87Element = [\n    [3340.61242700512],\n    [0.01457554523, 3.60433733236, 3340.6124266998],\n    [0.00168414711, 3.92318567804, 6681.2248533996],\n    [0.00020622975, 4.26108844583, 10021.8372800994],\n    [0.00003452392, 4.7321039319, 3.523118349],\n    [0.00002586332, 4.60670058555, 13362.4497067992],\n    [0.00000841535, 4.45864030426, 2281.2304965106],\n    [0.00000537567, 5.01581256923, 398.1490034082],\n    [0.00000520948, 4.99428054039, 3344.1355450488],\n    [0.00000432635, 2.56070853083, 191.4482661116],\n    [0.00000429655, 5.31645299471, 155.4203994342],\n    [0.00000381751, 3.53878166043, 796.2980068164],\n    [0.0000032853, 4.95632685192, 16703.062133499],\n    [0.00000282795, 3.15966768785, 2544.3144198834],\n    [0.00000205657, 4.56889279932, 2146.1654164752],\n    [0.00000168866, 1.3293655906, 3337.0893083508],\n    [0.00000157593, 4.18519540728, 1751.539531416],\n    [0.00000133686, 2.23327245555, 0.9803210682],\n    [0.00000116965, 2.21414273762, 1059.3819301892],\n    [0.00000117503, 6.02411290806, 6151.533888305],\n    [0.00000113718, 5.42753341019, 3738.761430108],\n    [0.00000133565, 5.97420357518, 1748.016413067],\n    [0.00000091099, 1.09626613064, 1349.8674096588],\n    [0.00000084256, 5.29330740437, 6684.7479717486],\n    [0.00000113886, 2.12863726524, 1194.4470102246],\n    [0.00000080823, 4.42818326716, 529.6909650946],\n    [0.00000079847, 2.24822372859, 8962.4553499102],\n    [0.00000072505, 5.84203374239, 242.728603974],\n    [0.00000072945, 2.50193599662, 951.7184062506],\n    [0.0000007149, 3.85645759558, 2914.0142358238],\n    [0.0000008534, 3.90856932983, 553.5694028424],\n    [0.0000006758, 5.0233489507, 382.8965322232],\n    [0.0000006506, 1.01810963274, 3340.5951730476],\n    [0.00000065061, 3.04888114328, 3340.629680352],\n    [0.00000061478, 4.15185188249, 3149.1641605882],\n    [0.00000048482, 4.87339233007, 213.299095438],\n    [0.00000046581, 1.31461442691, 3185.1920272656],\n    [0.00000056642, 3.88772102421, 4136.9104335162],\n    [0.00000047615, 1.18228660215, 3333.498879699],\n    [0.00000042052, 5.30826745759, 20043.6745601988],\n    [0.0000004133, 0.71392238704, 1592.5960136328],\n    [0.0000004028, 2.72571311592, 7.1135470008],\n    [0.0000003304, 5.40823104809, 6283.0758499914],\n    [0.00000028676, 0.04305323493, 9492.1463150048],\n    [0.00000022322, 5.86718681699, 3870.3033917944],\n    [0.00000022432, 5.46596961275, 20.3553193988],\n    [0.00000022606, 0.83782540818, 3097.88382272579],\n    [0.00000021416, 5.37936489667, 3340.545116397],\n    [0.00000023347, 6.167744339, 3532.0606928114],\n    [0.00000026573, 3.8900063113, 1221.8485663214],\n    [0.000000228, 1.54501542908, 2274.1169495098],\n    [0.00000020474, 2.3623686167, 1589.0728952838],\n    [0.00000020179, 3.36390759347, 5088.6288397668],\n    [0.00000020013, 2.57546546037, 12303.06777661],\n    [0.0000001992, 0.44761063096, 6677.7017350506],\n    [0.0000002655, 5.11303525089, 2700.7151403858],\n    [0.00000021104, 3.52541056271, 15.252471185],\n    [0.00000021424, 4.97083417225, 3340.6797370026],\n    [0.00000018502, 5.57854926842, 1990.745017041],\n    [0.00000017805, 6.12513609945, 4292.3308329504],\n    [0.00000016463, 2.60307709195, 3341.592747768],\n    [0.00000016592, 1.25515357212, 3894.1818295422],\n    [0.00000019864, 2.52765519587, 4399.994356889],\n    [0.00000015002, 1.03518790208, 2288.3440435114],\n    [0.00000020011, 4.73112374598, 4690.4798363586],\n    [0.00000015431, 2.46932776517, 4535.0594369244],\n    [0.00000020193, 5.78561467842, 7079.3738568078],\n    [0.00000015298, 2.26504738206, 3723.508958923],\n    [0.00000015019, 3.36690751539, 6681.2421070518],\n    [0.00000013219, 5.61412860968, 10025.3603984484],\n    [0.00000013517, 2.12392880454, 5486.777843175],\n    [0.00000015019, 1.33613594479, 6681.2075997474],\n    [0.00000012676, 2.95036175206, 3496.032826134],\n    [0.00000013644, 1.97710249337, 5614.7293762096],\n    [0.00000013011, 1.51458564766, 5628.9564702112],\n    [0.00000011353, 6.23411904718, 135.0650800354],\n    [0.00000013508, 3.42721826602, 5621.8429232104],\n    [0.00000010866, 5.28165480979, 2818.035008606],\n    [0.0000001188, 3.12847055823, 426.598190876],\n    [0.00000010467, 2.7359860705, 2787.0430238574],\n    [0.00000011131, 5.84122566289, 2803.8079146044],\n    [0.0000001177, 2.58277425311, 8432.7643848156],\n    [0.00000011861, 5.47552055459, 3553.9115221378],\n    [0.0000000854, 1.91739325491, 11773.3768115154],\n    [0.00000009819, 4.52958330672, 6489.776587288],\n    [0.00000008552, 3.16147568714, 162.4666361322],\n    [0.00000010957, 4.15775327007, 2388.8940204492],\n    [0.00000008948, 4.23164385777, 7477.522860216],\n    [0.00000008131, 1.61308074119, 2957.7158944766],\n    [0.00000008352, 2.18475645206, 23.8784377478],\n    [0.0000000803, 5.69889507906, 6041.3275670856],\n    [0.00000007878, 5.71359767892, 9623.6882766912],\n    [0.00000008713, 4.43300582398, 5092.1519581158],\n    [0.00000008421, 3.1635506725, 3347.7259737006],\n    [0.0000000667, 5.07423317095, 8031.0922630584],\n    [0.00000008656, 4.33239148117, 3339.6321056316],\n    [0.00000007354, 6.17934256606, 3583.3410306738],\n    [0.00000005749, 3.67719823582, 8429.2412664666],\n    [0.00000006235, 3.54003325209, 692.1576012268],\n    [0.00000005458, 1.05139431657, 4933.2084403326],\n    [0.00000006132, 1.66182646558, 6525.8044539654],\n    [0.00000005197, 1.14841109166, 28.4491874678],\n    [0.0000000495, 5.28919125231, 6681.2921637024],\n    [0.00000005516, 6.12492946392, 2487.4160449478],\n    [0.0000000489, 3.10255139433, 5.5229243074],\n    [0.00000005354, 0.37154896863, 12832.7587417046],\n    [0.00000004751, 0.2337468155, 36.0278666774],\n    [0.00000006362, 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31968.9486527994],\n    [0.00000000037, 1.41975087808, 7447.017917846],\n    [0.00000000039, 5.00412653703, 2540.7913015344],\n    [0.00000000043, 4.22348706116, 13369.5632538],\n    [0.00000000036, 0.53048140495, 176.6937301338],\n    [0.00000000035, 2.25519417749, 19669.33668423559],\n    [0.00000000041, 0.69504492745, 3495.9655158312],\n    [0.00000000036, 5.24607321878, 2679.3794999188],\n    [0.00000000038, 3.14212980126, 30220.9322397324],\n    [0.00000000037, 5.40231426955, 3152.68727893721],\n    [0.00000000036, 1.04457226935, 20426.571092422],\n    [0.00000000035, 0.32478189872, 3499.555944483],\n    [0.00000000048, 2.09368659974, 32920.66705904999],\n    [0.00000000036, 2.63906375223, 8948.2282559086],\n    [0.00000000036, 5.56218018463, 7788.3636590844],\n    [0.00000000041, 0.34392346712, 13575.7488022372],\n    [0.00000000035, 5.1159574911, 7322.1024607818],\n    [0.00000000035, 5.54490491, 9945.5712088238],\n    [0.00000000041, 2.83917412143, 3347.2960905739],\n    [0.00000000041, 4.06132121378, 3929.677253708],\n    [0.00000000043, 4.03006170081, 38086.874556479],\n    [0.00000000035, 3.14536502087, 24150.080051345],\n    [0.00000000036, 3.31106643723, 9329.6796788726],\n    [0.00000000035, 4.64515512748, 9886.772200064],\n    [0.00000000044, 1.03765557298, 20040.15144184979],\n    [0.00000000046, 0.524310649, 28230.18722269139],\n    [0.00000000044, 4.61169478741, 3341.0325027934],\n    [0.00000000034, 2.9501469556, 6652.7756659318],\n    [0.00000000033, 2.51023857323, 2675.8563815698],\n    [0.00000000033, 3.62122540203, 6674.1786167016],\n    [0.00000000033, 3.87873599689, 25665.5174834092],\n    [0.00000000035, 0.31892534784, 6645.1969867222],\n    [0.00000000039, 0.38844155951, 18849.2275499742],\n    [0.00000000031, 3.42450440874, 4403.517475238],\n    [0.00000000032, 1.287278619, 9495.6694333538],\n    [0.00000000037, 2.68901627056, 7321.1221397136],\n    [0.0000000003, 3.11091269619, 9993.3880926316],\n    [0.00000000032, 3.5637890247, 6148.010769956],\n    [0.00000000032, 4.23069713034, 10448.4354709754],\n    [0.00000000038, 4.2135934448, 3312.163239232],\n    [0.00000000036, 0.26736453929, 36659.428489158],\n    [0.00000000031, 1.91001170906, 31172.650645983],\n    [0.0000000003, 1.79692038909, 10001.48196070061],\n    [0.00000000037, 5.48379757539, 3311.18291816379],\n    [0.00000000038, 2.88322299393, 10025.4277087512],\n    [0.00000000035, 5.38142679524, 3185.2593375684],\n    [0.00000000031, 0.35494900654, 10177.1903692308],\n    [0.00000000029, 1.34098342476, 29822.7832363242],\n    [0.0000000003, 1.39448996174, 4825.544916394],\n    [0.00000000031, 2.46180759992, 10018.2468514476],\n    [0.00000000032, 0.41003961929, 3451.7990689874],\n    [0.00000000028, 4.68714611901, 2111.6503133776],\n    [0.00000000029, 3.94252949224, 23958.6317852334],\n    [0.00000000028, 3.38078853114, 32124.36905223359],\n    [0.00000000031, 3.18465833136, 3341.0423098265],\n    [0.00000000029, 2.25225231358, 26084.0218062162],\n    [0.00000000033, 3.49105794187, 3774.3241645766],\n    [0.00000000033, 1.717681926, 34911.412076091],\n    [0.00000000037, 5.42512626922, 31022.7531708562],\n    [0.00000000027, 0.98751632143, 16335.8378045366],\n    [0.00000000027, 5.29268187817, 29698.2875113358],\n    [0.0000000003, 5.4539830997, 8646.0634802536],\n    [0.00000000029, 0.21596596499, 20213.25474333179],\n    [0.00000000027, 2.67440637509, 16547.6417340648],\n    [0.00000000027, 2.31773999101, 6688.2710900976],\n    [0.00000000026, 2.05025380662, 5562.4690612968],\n    [0.00000000026, 3.28284041047, 2075.0449480734],\n    [0.00000000026, 5.0034215393, 48429.2821823244],\n    [0.00000000026, 3.79854522408, 12306.590894959],\n    [0.00000000026, 1.89599447067, 13341.6743113068],\n    [0.00000000035, 1.72244330701, 24606.13555322],\n    [0.00000000026, 4.44769438876, 10016.314355792],\n    [0.00000000027, 0.93597359176, 13605.1783107732],\n    [0.00000000026, 5.00365698783, 13355.3361597984],\n    [0.00000000031, 6.27193804892, 1485.9801210652],\n    [0.00000000035, 0.76911517486, 6155.057006654],\n    [0.00000000027, 1.27122182637, 6364.832983743],\n    [0.00000000026, 5.558976832, 20597.2439630412],\n    [0.00000000025, 6.2223560023, 5223.6939198022],\n    [0.00000000034, 3.38467726966, 2284.7536148596],\n    [0.00000000031, 0.88233421548, 3340.1825435731],\n    [0.00000000025, 0.83746118261, 12725.453434775],\n    [0.00000000027, 5.67024059955, 1478.8665740644],\n    [0.00000000027, 0.42473501075, 33406.124266998],\n    [0.00000000026, 2.15914082099, 3987.6232600146],\n    [0.00000000025, 2.91073064727, 3212.5935833624],\n    [0.00000000027, 4.12996350734, 13383.2251022916],\n    [0.00000000027, 6.05316799952, 13286.1836355236],\n    [0.00000000027, 5.81931319013, 24341.5283174566],\n    [0.00000000029, 4.41519700273, 16894.5103996106],\n    [0.00000000024, 0.20360604382, 3229.4257844122],\n    [0.00000000024, 2.10152754634, 14955.045720432],\n    [0.00000000031, 5.90226054729, 11128.9760857842],\n    [0.00000000023, 3.37817298437, 6850.8050365326],\n    [0.00000000031, 0.35678160238, 31570.7996493912],\n    [0.00000000023, 2.38961518808, 23024.176204937],\n    [0.00000000029, 3.03470840975, 22747.2907148744],\n    [0.00000000026, 0.51379054479, 29978.2036357584],\n    [0.00000000023, 4.26635202793, 3296.8935143948],\n    [0.00000000027, 2.64320191197, 24093.2767891752],\n    [0.00000000023, 4.96777735461, 799.8211251654],\n    [0.00000000024, 3.32945091041, 12140.6011404778],\n    [0.00000000025, 3.30212831704, 6740.5987153132],\n    [0.00000000023, 5.51381740402, 33561.5446664322],\n    [0.00000000023, 0.28172423109, 6593.9166488598],\n    [0.00000000022, 5.48861732897, 30376.3526391666],\n    [0.00000000023, 2.40580065766, 3344.11829139661],\n    [0.00000000028, 5.8750688426, 7747.7203305896],\n    [0.00000000021, 2.40354177453, 3304.0070613956],\n    [0.00000000024, 1.63482389429, 7483.5887758458],\n    [0.00000000028, 1.56312692708, 43340.6533425576],\n    [0.00000000022, 5.32476938106, 12928.7379689224],\n    [0.00000000026, 3.86983068409, 11353.8921676402],\n    [0.00000000023, 4.43657224846, 3344.152798701],\n    [0.00000000021, 3.66824260126, 14951.522602083],\n    [0.00000000022, 0.10813974117, 15423.267560871],\n    [0.00000000025, 5.63091190933, 3416.8784979754],\n    [0.00000000025, 1.57746144847, 11567.1912630782],\n    [0.00000000026, 2.50180659493, 21791.69097326579],\n    [0.00000000022, 4.94823700773, 6681.6449294932],\n    [0.00000000026, 0.84448534014, 3397.5108016354],\n    [0.00000000021, 4.33866377991, 12729.665967486],\n    [0.00000000021, 0.37058306281, 3391.89276456221],\n    [0.00000000022, 1.64362371744, 8852.2490286908],\n    [0.00000000027, 0.10733929729, 5195.2447323344],\n    [0.00000000021, 1.13140972844, 19403.7772738848],\n    [0.00000000026, 2.01526337234, 5032.7780962022],\n    [0.00000000021, 5.55525732543, 41748.0573289248],\n    [0.00000000021, 2.0795993636, 15106.8756912144],\n    [0.00000000024, 3.60866487742, 10006.5848089144],\n    [0.00000000028, 5.64135432549, 12516.366872048],\n    [0.00000000027, 5.93032400892, 3074.005384978],\n    [0.00000000025, 3.74768371499, 3232.9489027612],\n    [0.00000000022, 3.1557835722, 13366.040135451],\n    [0.00000000021, 3.34013182507, 20752.6643624754],\n    [0.00000000026, 1.21869004343, 3377.217792004],\n    [0.00000000024, 2.12604737559, 3171.0322435668],\n    [0.00000000022, 4.02124729955, 30774.5016425748],\n    [0.00000000024, 3.74309736843, 6747.712262314],\n    [0.00000000023, 2.20705996255, 23553.8671700316],\n    [0.00000000021, 3.5707094113, 37895.4262903674],\n    [0.00000000023, 2.565495908, 21192.3641568684],\n    [0.00000000021, 3.34401260695, 15010.8964639966],\n    [0.00000000019, 2.58752283276, 36261.2794857498],\n    [0.00000000021, 5.93180632509, 42146.20633233299],\n    [0.00000000018, 1.24405924793, 6768.5330579394],\n    [0.00000000019, 2.79026853354, 39203.74290904139],\n    [0.00000000024, 2.19710154155, 34513.2630726828],\n    [0.0000000002, 1.69850924464, 49225.5801891408],\n    [0.00000000018, 1.32432984119, 13497.5147868346],\n    [0.00000000018, 2.46520012266, 6944.3087767724],\n    [0.00000000018, 5.07942001013, 3337.0720546986],\n    [0.00000000018, 5.00983720257, 1655.5603041982],\n    [0.00000000018, 0.78739197008, 19676.4502312364],\n    [0.00000000018, 0.05420901908, 2142.6422981262],\n];\n\nconst VSOP87_L2: Vsop87Element = [\n    [0.00058152577, 2.04961712429, 3340.6124266998],\n    [0.00013459579, 2.45738706163, 6681.2248533996],\n    [0.00002432575, 2.79737979284, 10021.8372800994],\n    [0.00000401065, 3.13581149963, 13362.4497067992],\n    [0.00000451384],\n    [0.00000222025, 3.19437046607, 3.523118349],\n    [0.00000120954, 0.54327128607, 155.4203994342],\n    [0.00000062971, 3.47765178989, 16703.062133499],\n    [0.00000053644, 3.54171478781, 3344.1355450488],\n    [0.00000034273, 6.00208464365, 2281.2304965106],\n    [0.00000031659, 4.14001980084, 191.4482661116],\n    [0.00000029839, 1.9983873938, 796.2980068164],\n    [0.00000023172, 4.33401932281, 242.728603974],\n    [0.00000021663, 3.44500841809, 398.1490034082],\n    [0.0000001605, 6.11000263211, 2146.1654164752],\n    [0.00000020369, 5.42202383442, 553.5694028424],\n    [0.00000014924, 6.09549588012, 3185.1920272656],\n    [0.00000016229, 0.65685105422, 0.9803210682],\n    [0.00000014317, 2.61898820749, 1349.8674096588],\n    [0.00000014411, 4.01941740099, 951.7184062506],\n    [0.00000011944, 3.86196758615, 6684.7479717486],\n    [0.00000015655, 1.22093822826, 1748.016413067],\n    [0.00000011261, 4.71857181601, 2544.3144198834],\n    [0.0000001336, 0.60151621438, 1194.4470102246],\n    [0.00000010395, 0.25075540193, 382.8965322232],\n    [0.00000009415, 0.68050215057, 1059.3819301892],\n    [0.0000000958, 3.82256319681, 20043.6745601988],\n    [0.00000008996, 3.88272784458, 3738.761430108],\n    [0.00000007498, 5.46428174266, 1751.539531416],\n    [0.00000006499, 5.47802397833, 1592.5960136328],\n    [0.00000006307, 2.34134269478, 3097.88382272579],\n    [0.00000006864, 2.57523762859, 3149.1641605882],\n    [0.00000005871, 1.1486285578, 7.1135470008],\n    [0.00000006675, 2.37862627319, 4136.9104335162],\n    [0.00000004655, 4.4310225149, 6151.533888305],\n    [0.00000004201, 3.68638044545, 5614.7293762096],\n    [0.00000004796, 2.89378142432, 3333.498879699],\n    [0.00000004074, 6.12610105396, 5628.9564702112],\n    [0.0000000366, 4.06581319964, 1990.745017041],\n    [0.00000003284, 2.79214099721, 3894.1818295422],\n    [0.00000003615, 2.46526861067, 529.6909650946],\n    [0.00000003214, 0.68469193035, 8962.4553499102],\n    [0.00000003087, 4.56932030502, 3496.032826134],\n    [0.00000002918, 5.41494777349, 2914.0142358238],\n    [0.00000002925, 1.23098223044, 2787.0430238574],\n    [0.00000002808, 1.38431632694, 4292.3308329504],\n    [0.00000002652, 1.05282528913, 3341.592747768],\n    [0.0000000292, 3.41297158184, 3337.0893083508],\n    [0.00000002423, 0.9648433024, 4535.0594369244],\n    [0.00000002311, 4.84742235872, 9492.1463150048],\n    [0.00000002597, 5.74792546254, 3340.5951730476],\n    [0.0000000219, 3.26596280325, 213.299095438],\n    [0.00000002598, 1.49506860128, 3340.629680352],\n    [0.00000002365, 4.1830384242, 10025.3603984484],\n    [0.0000000263, 4.67732434694, 3583.3410306738],\n    [0.00000002606, 2.64976204169, 2388.8940204492],\n    [0.00000001822, 0.97105743952, 1589.0728952838],\n    [0.00000002397, 1.04493547179, 4399.994356889],\n    [0.00000002203, 0.16281603659, 6525.8044539654],\n    [0.00000002373, 4.26885534124, 7079.3738568078],\n    [0.00000002366, 0.00564620006, 4690.4798363586],\n    [0.00000001623, 4.95374152644, 5088.6288397668],\n    [0.00000002143, 0.47993241836, 2700.7151403858],\n    [0.00000001646, 4.94105214632, 1221.8485663214],\n    [0.00000001588, 1.11405721408, 12303.06777661],\n    [0.00000001518, 0.11076145171, 2957.7158944766],\n    [0.00000001774, 3.80344931471, 3723.508958923],\n    [0.00000001364, 3.86744855408, 6283.0758499914],\n    [0.00000001764, 2.51992889432, 2810.9214616052],\n    [0.00000001394, 2.7360876673, 7477.522860216],\n    [0.0000000128, 5.47285286548, 6677.7017350506],\n    [0.00000001447, 2.97506973239, 6489.776587288],\n    [0.00000001248, 3.77100223369, 2699.7348193176],\n    [0.00000001527, 2.92629955117, 640.8776073822],\n    [0.00000001197, 1.89205359446, 6681.2421070518],\n    [0.00000001418, 1.54599865534, 3347.7259737006],\n    [0.00000001423, 4.17063094406, 23384.2869868986],\n    [0.00000001042, 5.83283345776, 4933.2084403326],\n    [0.00000001196, 6.14479114175, 6681.2075997474],\n    [0.00000001153, 1.50265359557, 426.598190876],\n    [0.00000001099, 3.80358943061, 3870.3033917944],\n    [0.00000000909, 3.81838122072, 5092.1519581158],\n    [0.00000001071, 5.04949161471, 5621.8429232104],\n    [0.00000000846, 3.82219998207, 3340.545116397],\n    [0.00000001075, 3.81844135104, 3553.9115221378],\n    [0.00000000856, 3.42045045625, 3340.6797370026],\n    [0.00000000916, 1.91472787569, 3532.0606928114],\n    [0.00000000714, 4.26169501052, 9623.6882766912],\n    [0.00000000907, 4.12943952579, 162.4666361322],\n    [0.00000000653, 3.10816357251, 7234.794256242],\n    [0.00000000792, 5.20659969594, 87.30820453981],\n    [0.00000000654, 1.57331630734, 2487.4160449478],\n    [0.00000000649, 2.78892909992, 574.3447983348],\n    [0.00000000648, 5.181110771, 12832.7587417046],\n    [0.00000000707, 5.8319586932, 3339.6321056316],\n    [0.0000000052, 4.64660657418, 6836.6452528338],\n    [0.0000000066, 0.24998045706, 8969.568896911],\n    [0.0000000064, 1.70935421799, 7632.9432596502],\n    [0.00000000528, 0.3110540935, 8031.0922630584],\n    [0.0000000051, 4.63676288319, 10419.9862835076],\n    [0.00000000604, 3.85002715377, 5486.777843175],\n    [0.00000000514, 1.38796992796, 7740.6067835888],\n    [0.00000000462, 1.33678943112, 7875.6718636242],\n    [0.00000000495, 4.50170882091, 692.1576012268],\n    [0.00000000471, 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 [0.0000000001, 5.75866529304, 6717.252720077],\n    [0.00000000012, 4.33022696919, 7747.7203305896],\n    [0.00000000011, 5.96309733546, 20040.15144184979],\n    [0.0000000001, 3.58563293895, 20354.5153590672],\n    [0.0000000001, 4.8883526004, 10042.1925994982],\n    [0.0000000001, 2.48515633128, 25665.5174834092],\n    [0.00000000009, 1.77145376267, 32367.0976562076],\n];\n\nconst VSOP87_L3: Vsop87Element = [\n    [0.00001467867, 0.4442983946, 3340.6124266998],\n    [0.00000692668, 0.88679887123, 6681.2248533996],\n    [0.00000189478, 1.28336839921, 10021.8372800994],\n    [0.00000041615, 1.64210455567, 13362.4497067992],\n    [0.0000002266, 2.05278956965, 155.4203994342],\n    [0.00000008126, 1.99049724299, 16703.062133499],\n    [0.00000010455, 1.57992093693, 3.523118349],\n    [0.00000004902, 2.8251687501, 242.728603974],\n    [0.00000005379, Math.PI],\n    [0.00000003782, 2.01848153986, 3344.1355450488],\n    [0.00000003181, 4.59108786647, 3185.1920272656],\n    [0.00000003133, 0.65141319517, 553.5694028424],\n    [0.00000001698, 5.53803382831, 951.7184062506],\n    [0.00000001525, 5.71698515888, 191.4482661116],\n    [0.00000001451, 0.4606849022, 796.2980068164],\n    [0.00000001473, 2.33727441522, 20043.6745601988],\n    [0.00000001314, 5.36403056955, 0.9803210682],\n    [0.00000001178, 4.14644990348, 1349.8674096588],\n    [0.00000001138, 2.37914351932, 6684.7479717486],\n    [0.00000001046, 1.76915268602, 382.8965322232],\n    [0.00000000902, 5.35475854699, 1194.4470102246],\n    [0.00000000813, 2.74852234414, 1748.016413067],\n    [0.00000000629, 6.08292992203, 3496.032826134],\n    [0.00000000564, 1.87914711325, 398.1490034082],\n    [0.00000000566, 5.8543921654, 7.1135470008],\n    [0.00000000646, 3.17980126471, 3583.3410306738],\n    [0.00000000461, 5.99300094958, 2787.0430238574],\n    [0.00000000515, 1.00397565149, 3149.1641605882],\n    [0.00000000524, 4.94366714135, 6525.8044539654],\n    [0.00000000405, 1.25868884474, 2281.2304965106],\n    [0.00000000396, 2.33533869272, 3738.761430108],\n    [0.00000000473, 0.85569341494, 4136.9104335162],\n    [0.00000000337, 5.42720231008, 1059.3819301892],\n    [0.00000000312, 3.71767667252, 3097.88382272579],\n    [0.0000000028, 5.77799085447, 3341.592747768],\n    [0.00000000282, 2.713974878, 10025.3603984484],\n    [0.00000000215, 5.72936855193, 4535.0594369244],\n    [0.00000000213, 2.52113312108, 1990.745017041],\n    [0.00000000253, 2.68513749891, 23384.2869868986],\n    [0.00000000271, 1.11020953644, 2388.8940204492],\n    [0.00000000186, 4.87399580961, 2957.7158944766],\n    [0.00000000178, 3.9136125007, 1592.5960136328],\n    [0.00000000175, 0.87350226081, 3894.1818295422],\n    [0.00000000191, 4.57651964364, 3337.0893083508],\n    [0.00000000166, 2.74261580519, 7079.3738568078],\n    [0.00000000132, 1.21969793594, 7477.522860216],\n    [0.00000000176, 5.82269855073, 4399.994356889],\n    [0.00000000144, 1.41866825837, 6489.776587288],\n    [0.00000000116, 3.26440506489, 9492.1463150048],\n    [0.0000000011, 5.25036780309, 8962.4553499102],\n    [0.00000000109, 2.69848602723, 6151.533888305],\n    [0.00000000099, 3.53126616352, 6923.9534573736],\n    [0.00000000094, 5.83398846011, 12303.06777661],\n    [0.00000000082, 5.71976568172, 4292.3308329504],\n    [0.00000000082, 0.07031928087, 6127.6554505572],\n    [0.00000000079, 5.82605787124, 1589.0728952838],\n    [0.00000000086, 5.29348370173, 9866.4168806652],\n    [0.00000000101, 0.00033367659, 3347.7259737006],\n    [0.00000000076, 4.3366264457, 4933.2084403326],\n    [0.00000000066, 4.98095301409, 5486.777843175],\n    [0.00000000066, 1.7432652957, 3870.3033917944],\n    [0.00000000059, 1.47406427963, 7234.794256242],\n    [0.00000000065, 4.13790023458, 3340.5951730476],\n    [0.00000000066, 6.17474740457, 6682.2051744678],\n    [0.00000000065, 6.16873733389, 3340.629680352],\n    [0.00000000061, 3.04498621253, 13365.9728251482],\n    [0.00000000057, 0.34435287503, 6681.2421070518],\n    [0.00000000052, 3.10877560472, 10419.9862835076],\n    [0.00000000053, 1.49212635155, 5729.506447149],\n    [0.00000000052, 6.16231097097, 7740.6067835888],\n    [0.00000000057, 4.59725498148, 6681.2075997474],\n    [0.00000000047, 6.08280843167, 7875.6718636242],\n    [0.00000000046, 2.2270061836, 6283.0758499914],\n    [0.00000000042, 4.17552906301, 4690.4798363586],\n    [0.00000000053, 4.86310998799, 5621.8429232104],\n    [0.00000000039, 3.01231289993, 26724.8994135984],\n    [0.00000000044, 1.8380744388, 3723.508958923],\n    [0.00000000045, 3.66313190536, 12832.7587417046],\n    [0.00000000049, 2.9067744955, 5331.3574437408],\n    [0.00000000041, 5.09013551341, 8969.568896911],\n    [0.00000000035, 1.80197655191, 9830.3890139878],\n    [0.00000000036, 6.20064893632, 6836.6452528338],\n    [0.00000000041, 4.73855176222, 6677.7017350506],\n    [0.00000000043, 0.12056288166, 7632.9432596502],\n    [0.00000000036, 3.95211035317, 5092.1519581158],\n    [0.00000000041, 1.02183708699, 3339.6321056316],\n    [0.00000000032, 6.08260895536, 4929.6853219836],\n    [0.00000000029, 1.62918363864, 10818.1352869158],\n    [0.00000000033, 5.28926114198, 6298.3283211764],\n    [0.00000000035, 2.19127331195, 3553.9115221378],\n    [0.00000000031, 1.71403126017, 6674.1113063988],\n    [0.00000000027, 2.59859773299, 9623.6882766912],\n    [0.00000000037, 6.26363818135, 15643.6802033098],\n    [0.00000000026, 0.41795219764, 6688.3384004004],\n    [0.00000000025, 2.61050876047, 8955.3418029094],\n    [0.00000000024, 2.7277067014, 7210.9158184942],\n    [0.00000000022, 0.56923205824, 3333.498879699],\n    [0.00000000024, 1.08927112722, 13362.4669604514],\n    [0.00000000024, 1.27631664508, 2146.1654164752],\n    [0.00000000021, 2.25460322522, 6681.2921637024],\n    [0.00000000021, 1.21340354488, 529.6909650946],\n    [0.00000000019, 2.21770037001, 3340.545116397],\n    [0.00000000019, 0.66923624814, 10021.8545337516],\n    [0.00000000019, 4.96725594495, 10021.8200264472],\n    [0.00000000021, 2.66383165337, 6681.1575430968],\n    [0.00000000019, 5.34528034089, 13362.432453147],\n    [0.0000000002, 4.05200075148, 16173.3711684044],\n    [0.00000000018, 6.12827330419, 2118.7638603784],\n    [0.00000000019, 1.81106961128, 3340.6797370026],\n    [0.00000000023, 3.65530501555, 5884.9268465832],\n    [0.00000000017, 3.49526304116, 13760.5987102074],\n    [0.00000000017, 2.19106157796, 13171.0014406876],\n    [0.00000000018, 2.57298367742, 6894.5239488376],\n    [0.00000000015, 3.38406160245, 16706.585251848],\n    [0.0000000002, 5.66097673948, 11773.3768115154],\n    [0.00000000016, 5.03015729119, 8031.0922630584],\n    [0.00000000018, 5.85813180984, 15113.9892382152],\n    [0.00000000015, 0.77504052248, 10028.9508271002],\n    [0.00000000015, 0.57957141835, 10973.55568635],\n    [0.00000000014, 0.24974244701, 5088.6288397668],\n    [0.00000000018, 3.0792442194, 12964.300703391],\n    [0.00000000015, 2.68623334057, 10021.9045904022],\n    [0.00000000015, 3.09469457587, 10021.7699697966],\n    [0.00000000013, 3.93023649028, 10264.5658840734],\n    [0.00000000013, 5.65831284328, 13207.029307365],\n    [0.00000000013, 1.84300811278, 9070.1188738488],\n    [0.00000000014, 0.29740739896, 18984.2926300096],\n    [0.00000000013, 2.52001940946, 7064.1213856228],\n    [0.00000000013, 3.67191025834, 3320.257107301],\n    [0.00000000013, 0.3818273149, 11081.2192102886],\n    [0.00000000015, 5.65316717493, 9638.9407478762],\n    [0.00000000015, 1.9843132823, 14158.7477136156],\n    [0.00000000012, 5.412176385, 12310.1813236108],\n    [0.00000000013, 2.16005341496, 3503.079062832],\n    [0.00000000013, 2.04039005845, 3360.96774609859],\n    [0.00000000012, 3.10587105006, 10551.528245194],\n    [0.00000000012, 0.10001647761, 3355.8648978848],\n    [0.00000000011, 2.14032736093, 10014.7237330986],\n    [0.00000000011, 1.79726060971, 6438.4962494256],\n    [0.00000000014, 0.17608466993, 11216.284290324],\n    [0.00000000011, 3.38101843423, 30065.5118402982],\n    [0.0000000001, 0.14034808917, 5459.3762870782],\n    [0.00000000012, 1.39972628733, 7322.1024607818],\n    [0.0000000001, 5.01174496801, 8432.7643848156],\n    [0.0000000001, 4.85370121323, 8827.3902698748],\n    [0.00000000012, 1.85790840539, 10575.4066829418],\n    [0.00000000011, 5.68929132609, 2544.3144198834],\n    [0.00000000013, 0.1197367513, 8270.2977486834],\n    [0.0000000001, 3.4536682868, 8671.9698704406],\n    [0.0000000001, 1.63456773166, 6467.9257579616],\n    [0.00000000012, 0.48472196247, 9468.267877257],\n    [0.0000000001, 1.79285582925, 3981.490034082],\n    [0.00000000012, 4.3515715374, 13358.9265884502],\n    [0.00000000012, 4.70754717702, 8273.8208670324],\n    [0.00000000009, 5.67195388102, 6041.3275670856],\n    [0.00000000011, 0.28291831064, 10022.8176011676],\n    [0.00000000012, 0.19598354169, 3767.2106175758],\n    [0.00000000009, 0.798881036, 7107.8230442756],\n    [0.00000000009, 2.6388713382, 6040.3472460174],\n    [0.0000000001, 4.24040970796, 10018.3141617504],\n    [0.00000000008, 4.41344390506, 3532.0606928114],\n    [0.00000000009, 4.61082143531, 6254.6266625236],\n    [0.0000000001, 3.14867092101, 12295.9542296092],\n    [0.00000000008, 4.30808895338, 13517.8701062334],\n    [0.00000000007, 3.72930971887, 20047.1976785478],\n    [0.00000000007, 5.31461308603, 3980.5097130138],\n    [0.00000000007, 4.41228197932, 19513.9835951042],\n    [0.00000000006, 0.70081238478, 22324.9050567094],\n    [0.00000000007, 3.46042125643, 16304.9131300908],\n    [0.00000000006, 4.18130136613, 9225.539273283],\n    [0.00000000007, 2.07260074047, 2274.1169495098],\n    [0.00000000008, 4.84690285943, 5614.7293762096],\n    [0.00000000007, 5.81948406996, 18454.601664915],\n    [0.00000000006, 4.58700022729, 12935.8515159232],\n    [0.00000000006, 3.09847010281, 10235.1363755374],\n    [0.00000000007, 5.65100333611, 3325.3599555148],\n    [0.00000000006, 3.88836191013, 8429.2412664666],\n    [0.00000000006, 6.08444137601, 426.598190876],\n    [0.00000000007, 4.3929023553, 16699.53901514999],\n    [0.00000000006, 4.96952219943, 11614.4332937322],\n    [0.00000000007, 3.86534915027, 17101.2111369072],\n    [0.00000000005, 3.27691563611, 213.299095438],\n    [0.00000000006, 2.22078885531, 13916.0191096416],\n    [0.00000000005, 5.4020084326, 11371.7046897582],\n    [0.00000000006, 3.7336954916, 33406.124266998],\n    [0.00000000005, 1.76068977855, 1066.49547719],\n    [0.00000000005, 3.34460420545, 4562.4609930212],\n    [0.00000000005, 5.87001587166, 16547.6417340648],\n    [0.00000000005, 2.58164780968, 10404.7338123226],\n    [0.00000000005, 0.95143416553, 6872.6731195112],\n    [0.00000000005, 3.29623418943, 13362.3823964964],\n    [0.00000000005, 4.15921606694, 0.0172536522],\n    [0.00000000005, 1.88015249528, 15508.6151232744],\n    [0.00000000005, 4.69029931558, 2700.7151403858],\n];\n\nconst VSOP87_L4: Vsop87Element = [\n    [0.00000027242, 5.6399774232, 6681.2248533996],\n    [0.00000025511, 5.13956279086, 3340.6124266998],\n    [0.00000011147, 6.03556608878, 10021.8372800994],\n    [0.0000000319, 3.56206901204, 155.4203994342],\n    [0.00000003251, 0.1291561646, 13362.4497067992],\n    [0.0000000079, 0.48979114861, 16703.062133499],\n    [0.00000000783, 1.31770747646, 242.728603974],\n    [0.000000005, 3.082009215, 3185.1920272656],\n    [0.00000000374, 2.15499052115, 553.5694028424],\n    [0.00000000338, 6.23352693699, 3.523118349],\n    [0.00000000199, 0.45348344109, 3344.1355450488],\n    [0.00000000168, 3.76870889622, 3496.032826134],\n    [0.00000000171, 0.84135133604, 20043.6745601988],\n    [0.00000000115, 1.6742527126, 3583.3410306738],\n    [0.0000000008, 0.85706484335, 6684.7479717486],\n    [0.00000000091, 3.4380000389, 6525.8044539654],\n    [0.00000000062, 4.48712111677, 2787.0430238574],\n    [0.00000000043, 5.18700577258, 3097.88382272579],\n    [0.00000000047],\n    [0.00000000037, 1.18296722277, 23384.2869868986],\n    [0.00000000024, 4.29204464862, 6836.6452528338],\n    [0.00000000026, 1.20348583477, 10025.3603984484],\n    [0.00000000024, 5.60827511165, 4136.9104335162],\n    [0.00000000022, 5.74642710221, 3149.1641605882],\n    [0.00000000018, 2.03318579635, 6923.9534573736],\n    [0.00000000015, 4.26014468247, 3341.592747768],\n    [0.00000000018, 2.33884195894, 3894.1818295422],\n    [0.00000000015, 0.76745028682, 3738.761430108],\n    [0.00000000013, 3.78255342218, 9866.4168806652],\n    [0.00000000013, 4.8466966556, 6127.6554505572],\n    [0.00000000015, 5.9090457737, 2388.8940204492],\n    [0.00000000012, 4.04057703674, 4535.0594369244],\n    [0.00000000011, 3.87847882201, 1059.3819301892],\n    [0.00000000011, 6.15709897926, 6489.776587288],\n    [0.0000000001, 1.72288144187, 9492.1463150048],\n    [0.0000000001, 1.57846217224, 13365.9728251482],\n    [0.00000000008, 2.41269301261, 1592.5960136328],\n    [0.00000000008, 3.38799237939, 2957.7158944766],\n    [0.00000000008, 6.0985851946, 7477.522860216],\n    [0.0000000001, 1.26692397596, 1990.745017041],\n    [0.0000000001, 1.19094173671, 7079.3738568078],\n    [0.00000000011, 4.27677188971, 4399.994356889],\n    [0.00000000008, 4.14850970681, 13207.029307365],\n    [0.00000000008, 1.5429740675, 26724.8994135984],\n    [0.00000000007, 0.26868468775, 9830.3890139878],\n    [0.00000000007, 0.08101546764, 10818.1352869158],\n    [0.00000000007, 2.4250828952, 10264.5658840734],\n    [0.00000000007, 5.57348066316, 6438.4962494256],\n    [0.00000000007, 4.62218969676, 10177.2576795336],\n    [0.00000000008, 0.34286691468, 3723.508958923],\n    [0.00000000006, 1.60196605908, 10419.9862835076],\n    [0.00000000006, 4.33371839115, 4292.3308329504],\n    [0.00000000007, 4.61281837777, 7875.6718636242],\n    [0.00000000006, 4.67857531326, 2544.3144198834],\n    [0.00000000007, 1.51290306715, 5331.3574437408],\n    [0.00000000006, 4.16295898909, 12303.06777661],\n    [0.00000000006, 4.52108494056, 3532.0606928114],\n    [0.00000000006, 4.66651817095, 7740.6067835888],\n    [0.00000000005, 6.26581073985, 5729.506447149],\n    [0.00000000005, 2.75621336253, 4690.4798363586],\n    [0.00000000005, 2.78107610422, 4933.2084403326],\n    [0.00000000005, 4.63812650627, 6682.2051744678],\n    [0.00000000005, 5.81870543856, 2146.1654164752],\n    [0.00000000004, 4.97648147254, 3347.7259737006],\n    [0.00000000004, 1.92818801589, 16706.585251848],\n    [0.00000000004, 3.51723776816, 5486.777843175],\n    [0.00000000004, 4.3762291902, 3337.0893083508],\n    [0.00000000003, 3.74520053012, 6298.3283211764],\n    [0.00000000003, 4.94059407345, 11081.2192102886],\n    [0.00000000003, 5.20767397767, 9468.267877257],\n    [0.00000000002, 5.60261719076, 3333.498879699],\n    [0.00000000003, 6.08152672681, 3339.6321056316],\n    [0.00000000002, 1.90275008409, 30065.5118402982],\n    [0.00000000003, 3.36064341832, 5621.8429232104],\n    [0.00000000002, 0.0114193751, 10551.528245194],\n];\n\nconst VSOP87_L5: Vsop87Element = [\n    [0.00000000762, 4.03556368806, 6681.2248533996],\n    [0.00000000511, 4.4877039364, 10021.8372800994],\n    [0.0000000036, 5.07296615717, 155.4203994342],\n    [0.00000000202, 4.8836132144, 13362.4497067992],\n    [0.00000000165, 3.48592135141, 3340.6124266998],\n    [0.000000001, 6.09065293613, 242.728603974],\n    [0.00000000062, 5.25625355993, 16703.062133499],\n    [0.00000000064, 1.57192173495, 3185.1920272656],\n    [0.00000000035, 3.68331841812, 553.5694028424],\n    [0.00000000016, 5.23951751422, 3496.032826134],\n    [0.00000000017, 5.60862454832, 20043.6745601988],\n    [0.00000000016, 0.16723854805, 3583.3410306738],\n    [0.00000000011, 1.93419597527, 6525.8044539654],\n    [0.00000000007, 5.17525588419, 3344.1355450488],\n    [0.00000000007, 2.97300501488, 2787.0430238574],\n    [0.00000000005, 0.39000584564, 3097.88382272579],\n    [0.00000000005, 5.60123387975, 6684.7479717486],\n    [0.00000000004, 5.97749583912, 23384.2869868986],\n    [0.00000000003, 2.29064254081, 9866.4168806652],\n    [0.00000000003, 0.52716684104, 6923.9534573736],\n    [0.00000000003, 6.06139189331, 10025.3603984484],\n    [0.00000000002],\n    [0.00000000002, 0.06588431932, 26724.8994135984],\n    [0.00000000001, 3.33966357719, 6127.6554505572],\n];\n\nconst VSOP87_B0: Vsop87Element = [\n    [0.03197134986, 3.76832042431, 3340.6124266998],\n    [0.00298033234, 4.10616996305, 6681.2248533996],\n    [0.00289104742],\n    [0.00031365539, 4.4465105309, 10021.8372800994],\n    [0.000034841, 4.7881254926, 13362.4497067992],\n    [0.00000442999, 5.65233014206, 3337.0893083508],\n    [0.00000443401, 5.02642622964, 3344.1355450488],\n    [0.00000399109, 5.13056816928, 16703.062133499],\n    [0.00000292506, 3.79290674178, 2281.2304965106],\n    [0.00000181982, 6.13648041445, 6151.533888305],\n    [0.00000163159, 4.26399640691, 529.6909650946],\n    [0.00000159678, 2.23194572851, 1059.3819301892],\n    [0.00000139323, 2.41796458896, 8962.4553499102],\n    [0.00000149297, 2.16501221175, 5621.8429232104],\n    [0.00000142686, 1.18215016908, 3340.5951730476],\n    [0.00000142685, 3.21292181638, 3340.629680352],\n    [0.00000082544, 5.36667920373, 6684.7479717486],\n    [0.00000073639, 5.0918769577, 398.1490034082],\n    [0.0000007266, 5.53775735826, 6283.0758499914],\n    [0.00000086377, 5.74429749104, 3738.761430108],\n    [0.00000083276, 5.98866355811, 6677.7017350506],\n    [0.00000060116, 3.67960801961, 796.2980068164],\n    [0.00000063111, 0.73049101791, 5884.9268465832],\n    [0.00000062338, 4.8507212869, 2942.4634232916],\n    [0.00000046951, 5.54339769619, 3340.545116397],\n    [0.00000046953, 5.13486674212, 3340.6797370026],\n    [0.0000004663, 5.47361589877, 20043.6745601988],\n    [0.00000045588, 2.1326234084, 2810.9214616052],\n    [0.00000041269, 0.20003146001, 9492.1463150048],\n    [0.00000047199, 4.52184637077, 3149.1641605882],\n    [0.0000003854, 4.08008471951, 4136.9104335162],\n    [0.00000033069, 4.06582536024, 1751.539531416],\n    [0.00000029694, 5.92218475216, 3532.0606928114],\n    [0.00000032736, 2.62070842911, 2914.0142358238],\n    [0.00000029521, 2.75342613814, 12303.06777661],\n    [0.00000028169, 2.06282641876, 5486.777843175],\n    [0.00000028618, 4.94710659219, 3870.3033917944],\n    [0.00000026603, 3.55085867185, 6681.2421070518],\n    [0.00000026603, 1.52008697887, 6681.2075997474],\n    [0.00000023336, 2.27624326713, 1589.0728952838],\n    [0.00000026052, 2.60064406111, 4399.994356889],\n    [0.00000022637, 2.27507286962, 1194.4470102246],\n    [0.00000018887, 6.04416592185, 7079.3738568078],\n    [0.00000014846, 3.41358397277, 5088.6288397668],\n    [0.00000019947, 2.6736490118, 8432.7643848156],\n    [0.00000014682, 5.89211770913, 9623.6882766912],\n    [0.00000014152, 2.42511982523, 3333.498879699],\n    [0.0000001331, 2.62839885122, 426.598190876],\n    [0.00000014008, 1.67425471692, 6254.6266625236],\n    [0.00000015104, 2.81013512447, 3496.032826134],\n    [0.00000013011, 5.70759990125, 10025.3603984484],\n    [0.0000001208, 1.51805176385, 3185.1920272656],\n    [0.00000013183, 0.04521300408, 10018.3141617504],\n    [0.00000011553, 5.5741919554, 191.4482661116],\n    [0.00000011196, 0.55829476182, 5092.1519581158],\n    [0.0000001153, 2.13314729185, 11773.3768115154],\n    [0.00000010435, 5.72413969529, 6467.9257579616],\n    [0.00000009846, 0.86942034707, 1592.5960136328],\n    [0.00000009761, 1.0934331993, 2544.3144198834],\n    [0.00000008754, 5.47281526854, 6681.2921637024],\n    [0.00000008937, 4.83790383087, 6489.776587288],\n    [0.00000008652, 4.72119070324, 213.299095438],\n    [0.00000008797, 2.86598300684, 3341.592747768],\n    [0.00000008384, 2.65895188994, 4535.0594369244],\n    [0.00000008213, 4.8260847138, 3553.9115221378],\n    [0.00000008799, 1.52911067895, 3339.6321056316],\n    [0.00000008103, 1.0099422368, 9225.539273283],\n    [0.00000008754, 5.88131156904, 6681.1575430968],\n    [0.00000007209, 4.41679451115, 7477.522860216],\n    [0.00000008559, 4.79005521282, 4690.4798363586],\n    [0.00000006087, 1.89070780881, 9595.2390892234],\n    [0.00000006974, 0.53247180771, 12832.7587417046],\n    [0.00000005584, 6.18908858151, 4292.3308329504],\n    [0.00000005038, 6.06394187474, 7210.9158184942],\n    [0.00000005127, 0.11856223993, 4562.4609930212],\n    [0.00000004863, 1.33050477323, 3894.1818295422],\n    [0.00000005592, 3.97792233579, 3127.3133312618],\n    [0.00000004965, 5.74590187611, 1990.745017041],\n    [0.00000005531, 5.81704574177, 23384.2869868986],\n    [0.00000004184, 3.88899448118, 10021.8545337516],\n    [0.00000004184, 1.8582188675, 10021.8200264472],\n    [0.00000004685, 1.11750605341, 3319.8370312074],\n    [0.00000003954, 2.65571428448, 4929.6853219836],\n    [0.00000005174, 3.62345890346, 2700.7151403858],\n    [0.00000004639, 6.14089828121, 7.1135470008],\n    [0.00000004686, 3.2773203064, 3361.3878221922],\n    [0.00000004999, 3.09122275925, 15643.6802033098],\n    [0.00000003919, 2.96551660306, 7740.6067835888],\n    [0.00000003361, 1.8501569173, 2957.7158944766],\n    [0.00000004247, 4.19639326313, 2146.1654164752],\n    [0.00000004101, 6.22534362774, 10213.285546211],\n    [0.00000003124, 0.08537434136, 10419.9862835076],\n    [0.00000003079, 2.41163576579, 3344.2028553516],\n    [0.00000003093, 1.98041916263, 3337.021998048],\n    [0.00000003044, 4.38894724131, 1221.8485663214],\n    [0.00000002879, 2.93292958734, 2787.0430238574],\n    [0.00000003372, 4.45558231622, 6674.1113063988],\n    [0.0000000251, 4.06246201858, 6872.6731195112],\n    [0.00000002616, 1.23659105217, 4933.2084403326],\n    [0.00000003011, 4.33966319613, 2388.8940204492],\n    [0.00000003094, 2.40386312988, 2118.7638603784],\n    [0.00000002516, 2.30275461207, 3723.508958923],\n    [0.00000002192, 1.68875393217, 639.897286314],\n    [0.00000002157, 6.07606060132, 9808.5381846614],\n    [0.00000002686, 2.38168997181, 15113.9892382152],\n    [0.00000002156, 2.87768495226, 6041.3275670856],\n    [0.00000002495, 3.87397844397, 7903.073419721],\n    [0.00000002253, 0.47470647524, 3475.6775067352],\n    [0.00000002443, 3.02632472426, 3767.2106175758],\n    [0.00000001937, 0.3800093955, 13358.9265884502],\n    [0.00000002213, 3.91980714687, 3205.5473466644],\n    [0.00000002386, 6.2386673011, 12964.300703391],\n    [0.00000001806, 2.38402930496, 11243.6858464208],\n    [0.00000002265, 1.85773978984, 6525.8044539654],\n    [0.00000001642, 1.8681281992, 6680.2445323314],\n    [0.00000001616, 3.39939680231, 8429.2412664666],\n    [0.00000001646, 0.73259423152, 2274.1169495098],\n    [0.0000000191, 6.04319826335, 13365.9728251482],\n    [0.00000001493, 2.9936244474, 7875.6718636242],\n    [0.00000001567, 1.76858041654, 382.8965322232],\n    [0.0000000146, 1.4056977273, 14584.2982731206],\n    [0.00000001527, 5.79343223934, 6894.5239488376],\n    [0.0000000141, 5.17096392928, 9830.3890139878],\n    [0.00000001665, 3.60179345882, 2288.3440435114],\n    [0.00000001616, 2.19443242366, 8827.3902698748],\n    [0.00000001746, 0.10485638099, 3583.3410306738],\n    [0.00000001637, 3.20413465522, 6682.2051744678],\n    [0.00000001269, 2.02253887032, 155.4203994342],\n    [0.00000001508, 5.80804000686, 1748.016413067],\n    [0.00000001296, 2.92894055497, 9381.9399937854],\n    [0.00000001291, 2.98932388263, 6836.6452528338],\n    [0.00000001357, 0.32863385589, 4032.7700279266],\n    [0.00000001377, 5.80980822627, 10021.9045904022],\n    [0.00000001377, 6.21830452626, 10021.7699697966],\n    [0.00000001227, 2.204210578, 12935.8515159232],\n    [0.0000000108, 4.75504944444, 10818.1352869158],\n    [0.00000001016, 1.33950070697, 12566.1516999828],\n    [0.00000001083, 0.8762009687, 16173.3711684044],\n    [0.00000000958, 5.29506217215, 1066.49547719],\n    [0.00000001035, 2.44289154523, 1052.2683831884],\n    [0.00000001153, 4.73776302778, 8031.0922630584],\n    [0.00000001042, 1.7354190204, 3369.0616141676],\n    [0.00000000899, 1.87266868844, 3077.528503327],\n    [0.00000000892, 2.51349496317, 3603.6963500726],\n    [0.00000000905, 0.27366092731, 3325.3599555148],\n    [0.00000000883, 5.46536272796, 5614.7293762096],\n    [0.00000000949, 0.045957466, 7064.1213856228],\n    [0.00000000872, 3.61194636597, 6702.000248892],\n    [0.00000000842, 5.61715087411, 8955.3418029094],\n    [0.00000000843, 0.57535652957, 3191.0492295652],\n    [0.00000000904, 4.11836615587, 3355.8648978848],\n    [0.00000001044, 2.65886181159, 3312.163239232],\n    [0.00000000807, 2.26443699939, 8969.568896911],\n    [0.00000001047, 6.11318138367, 5331.3574437408],\n    [0.00000000933, 0.8255751336, 3503.079062832],\n    [0.00000000946, 1.92369895048, 5628.9564702112],\n    [0.00000000979, 4.55692896386, 3097.88382272579],\n    [0.00000000846, 4.65092182656, 6438.4962494256],\n    [0.00000000901, 1.46779952141, 6660.4494579072],\n    [0.00000000738, 4.9771458603, 10014.7237330986],\n    [0.00000000762, 3.42578095887, 18984.2926300096],\n    [0.00000000934, 0.35012375677, 3264.3463554242],\n    [0.00000000894, 0.3499227946, 10551.528245194],\n    [0.00000000665, 6.05549298647, 7632.9432596502],\n    [0.00000000605, 4.68477765315, 5729.506447149],\n    [0.00000000593, 2.97202650027, 3178.1457905676],\n    [0.00000000617, 2.19525025122, 13362.432453147],\n    [0.00000000579, 3.32297295321, 11081.2192102886],\n    [0.00000000579, 2.31207212499, 6677.6344247478],\n    [0.00000000585, 4.51639269767, 1648.4467571974],\n    [0.00000000572, 4.27986611626, 6546.1597733642],\n    [0.00000000626, 4.60732704004, 2487.4160449478],\n    [0.00000000649, 2.17890116209, 6298.3283211764],\n    [0.00000000617, 4.22631246059, 13362.4669604514],\n    [0.0000000055, 3.11154437229, 6144.4203413042],\n    [0.00000000551, 3.27082309354, 6127.6554505572],\n    [0.00000000536, 0.18974410122, 3346.1353510072],\n    [0.00000000557, 6.13684755137, 26724.8994135984],\n    [0.00000000571, 5.65326695555, 2921.1277828246],\n    [0.00000000552, 5.75733423477, 149.5631971346],\n    [0.00000000638, 4.49650387971, 3.523118349],\n    [0.00000000552, 1.07796467941, 536.8045120954],\n    [0.00000000537, 4.19208253387, 3335.0895023924],\n    [0.00000000567, 2.62819919565, 2648.454825473],\n    [0.00000000642, 3.24529035363, 3347.7259737006],\n    [0.00000000546, 2.76742592341, 5459.3762870782],\n    [0.00000000556, 4.98614620994, 6531.661656265],\n    [0.00000000577, 2.74434323174, 6684.8152820514],\n    [0.00000000613, 3.01716269698, 8270.2977486834],\n    [0.00000000558, 5.89252214546, 6158.6474353058],\n    [0.0000000049, 4.59097788726, 522.5774180938],\n    [0.00000000445, 3.64218817161, 10713.9948813262],\n    [0.00000000539, 0.59290478457, 553.5694028424],\n    [0.00000000434, 1.99641894213, 26087.9031415742],\n    [0.00000000459, 4.84219649882, 1758.6530784168],\n    [0.00000000423, 3.77854426573, 6688.3384004004],\n    [0.00000000421, 3.10278288287, 8329.671610597],\n    [0.00000000421, 4.43525950372, 103.0927742186],\n    [0.00000000502, 3.03141260243, 3360.96774609859],\n    [0.00000000422, 5.99160108582, 242.728603974],\n    [0.00000000401, 2.06009473972, 3980.5097130138],\n    [0.0000000041, 5.85255892892, 3351.2490920496],\n    [0.00000000375, 2.50807799168, 6784.3176276182],\n    [0.00000000407, 0.30120685897, 16304.9131300908],\n    [0.00000000507, 1.3501594205, 3320.257107301],\n    [0.00000000385, 1.06261944181, 7234.794256242],\n    [0.00000000519, 4.61721845726, 7373.3824546264],\n    [0.00000000401, 0.511677658, 17085.9586657222],\n    [0.00000000371, 0.4170041102, 13760.5987102074],\n    [0.00000000476, 0.81140579083, 6816.289933435],\n    [0.00000000348, 3.36504090075, 8439.8779318164],\n    [0.00000000366, 6.05204080393, 3607.2194684216],\n    [0.00000000402, 2.67373540504, 18454.601664915],\n    [0.00000000439, 0.41120720711, 10404.7338123226],\n    [0.00000000412, 4.81050886146, 3329.97576135],\n    [0.00000000414, 0.21020717323, 13149.1506113612],\n    [0.00000000363, 2.19005207108, 9866.4168806652],\n    [0.00000000337, 5.46408092858, 6604.958782124],\n    [0.0000000034, 1.73403450629, 1692.1656695024],\n    [0.00000000344, 3.58323138591, 7107.8230442756],\n    [0.0000000042, 2.77274750272, 2906.900688823],\n    [0.00000000335, 2.0233750434, 3333.5661900018],\n    [0.00000000336, 2.78166289075, 4989.0591838972],\n    [0.00000000354, 5.41259531, 951.7184062506],\n    [0.00000000328, 0.43464679588, 6923.9534573736],\n    [0.00000000422, 1.5760410919, 8273.8208670324],\n    [0.00000000324, 4.99183805155, 11371.7046897582],\n    [0.00000000351, 4.60780128099, 3074.005384978],\n    [0.00000000333, 4.86995546846, 3863.1898447936],\n    [0.00000000319, 1.44518621932, 11769.8536931664],\n    [0.00000000296, 5.25657985927, 76.2660712756],\n    [0.00000000349, 1.624753284, 17924.9106998204],\n    [0.00000000293, 2.20644147241, 3347.6586633978],\n    [0.00000000315, 4.55232705763, 5828.0284716476],\n    [0.0000000028, 1.42130915383, 6606.4432548323],\n    [0.00000000336, 1.56854446698, 1581.959348283],\n    [0.00000000343, 0.27609995271, 10973.55568635],\n    [0.00000000271, 0.08319244114, 10235.1363755374],\n    [0.0000000028, 0.76456352671, 853.196381752],\n    [0.00000000317, 4.91459113397, 3443.7052009184],\n    [0.00000000257, 0.15729388867, 12168.0026965746],\n    [0.00000000237, 3.13372111959, 74.7815985673],\n    [0.00000000271, 1.83005081572, 3399.9862886134],\n    [0.00000000233, 3.20168136662, 10177.2576795336],\n    [0.00000000312, 0.28437379974, 13745.3462390224],\n    [0.00000000273, 4.53535816659, 3344.4937620578],\n    [0.00000000235, 0.68002127731, 17395.2197347258],\n    [0.00000000262, 3.84495676575, 9168.6408983474],\n    [0.00000000271, 4.94468984866, 692.1576012268],\n    [0.00000000254, 2.1949097852, 3281.2385647862],\n    [0.0000000022, 1.65407354495, 3546.797975137],\n    [0.00000000283, 5.57869836989, 3973.396166013],\n    [0.00000000229, 5.93154303656, 3364.4908644476],\n    [0.00000000223, 4.82754649914, 9779.1086761254],\n    [0.00000000222, 0.71802343753, 16699.53901514999],\n    [0.00000000218, 0.09851087609, 16706.585251848],\n    [0.00000000221, 1.66603088558, 10575.4066829418],\n    [0.00000000259, 1.10209197887, 1744.4259844152],\n    [0.00000000243, 1.52418741589, 14054.607308026],\n    [0.00000000273, 6.12933991688, 3336.7310913418],\n    [0.00000000232, 4.73422207994, 3316.733988952],\n    [0.0000000021, 5.9725857815, 419.4846438752],\n    [0.00000000213, 5.35378103304, 1596.1864422846],\n    [0.00000000197, 3.32402522148, 5085.038411115],\n    [0.00000000193, 0.90510860475, 14314.1681130498],\n    [0.00000000192, 2.63243342994, 433.7117378768],\n    [0.00000000188, 1.14982896161, 13892.1406718938],\n    [0.00000000201, 4.79531031801, 6261.7402095244],\n    [0.00000000205, 2.32320320233, 13916.0191096416],\n    [0.00000000191, 5.08395985443, 2178.137722292],\n    [0.00000000191, 5.88821293073, 3340.19235060619],\n    [0.00000000236, 0.97334443524, 3230.4061054804],\n    [0.000000002, 3.60041329895, 3304.5845600224],\n    [0.00000000165, 2.91702596948, 3415.3940252671],\n    [0.00000000191, 4.7764733812, 3341.0325027934],\n    [0.00000000174, 2.20553353979, 10020.8569590312],\n    [0.00000000161, 2.64795288862, 3304.0070613956],\n    [0.00000000173, 3.54115283211, 10022.8176011676],\n    [0.00000000154, 2.45901648246, 12722.5524204852],\n    [0.0000000016, 1.73968020025, 3377.217792004],\n    [0.00000000196, 0.78013533938, 3376.6402933772],\n    [0.00000000153, 0.27339012265, 13362.3823964964],\n    [0.0000000019, 2.65194874683, 3657.0042963564],\n    [0.00000000172, 5.71074315284, 2384.3232707292],\n    [0.00000000157, 1.00235627417, 3209.0704650134],\n    [0.0000000015, 3.39592858899, 3472.1543883862],\n    [0.00000000165, 5.86531022351, 2803.8079146044],\n    [0.00000000154, 0.32136196843, 6665.9723822146],\n    [0.00000000178, 3.34070883939, 11216.284290324],\n    [0.00000000192, 0.66075807383, 3134.4268782626],\n    [0.00000000161, 2.87906798526, 4392.8808098882],\n    [0.00000000159, 3.7225242267, 13517.8701062334],\n    [0.00000000168, 0.55763311382, 110.2063212194],\n    [0.00000000158, 5.67249624538, 4407.1079038898],\n    [0.00000000161, 1.76807930062, 6709.6740408674],\n    [0.00000000158, 5.50648633058, 13171.0014406876],\n    [0.00000000129, 1.21294002381, 19513.9835951042],\n    [0.00000000173, 0.17007903906, 3024.2205570432],\n    [0.00000000132, 4.254244356, 16858.4825329332],\n    [0.00000000125, 2.88541822571, 17256.6315363414],\n    [0.00000000124, 2.59793302191, 12310.1813236108],\n    [0.0000000017, 4.06010395706, 2818.035008606],\n    [0.00000000142, 3.02798835989, 3511.285297319],\n    [0.00000000121, 5.24069969205, 9872.2740829648],\n    [0.00000000165, 2.5317654076, 16276.463942623],\n    [0.00000000153, 6.14807907741, 13362.517017102],\n    [0.00000000119, 4.15693538268, 3760.097070575],\n    [0.0000000012, 0.64325982889, 4459.3682188026],\n    [0.0000000013, 4.94981293749, 13553.8979729108],\n    [0.0000000012, 0.17129908454, 8671.9698704406],\n    [0.00000000112, 0.16839834843, 135.0650800354],\n    [0.00000000137, 3.34809361979, 3341.0423098265],\n    [0.00000000126, 1.32248977876, 1349.8674096588],\n    [0.00000000111, 3.14219193941, 13524.9163429314],\n    [0.00000000119, 5.95363422696, 12295.9542296092],\n    [0.00000000131, 5.09769592268, 14158.7477136156],\n    [0.00000000141, 1.37128440708, 3169.9395560806],\n    [0.00000000112, 3.35851628879, 5989.0672521728],\n    [0.00000000104, 5.00797771373, 13119.72110282519],\n    [0.0000000011, 5.2338905926, 1375.7737998458],\n    [0.00000000105, 2.72700704697, 1162.4747044078],\n    [0.00000000104, 1.73770183724, 2221.856634597],\n    [0.00000000137, 1.0457695039, 3340.1825435731],\n    [0.00000000106, 6.13491390193, 162.4666361322],\n    [0.00000000119, 2.63313118842, 7321.1221397136],\n    [0.00000000105, 3.09659915297, 20618.0193585336],\n    [0.00000000108, 1.0185456027, 3265.8308281325],\n    [0.00000000098, 4.23346395354, 23539.7073863328],\n    [0.00000000119, 4.07130782746, 10184.3039162316],\n    [0.00000000096, 1.81114730032, 10001.061884607],\n    [0.00000000093, 3.58891064965, 5099.2655051166],\n    [0.00000000095, 4.94769174828, 3981.490034082],\n    [0.00000000094, 5.37501534644, 13355.3361597984],\n    [0.00000000103, 0.43484814704, 1861.7458526354],\n    [0.00000000094, 0.13428933842, 15508.6151232744],\n    [0.0000000009, 3.7639904982, 22324.9050567094],\n    [0.00000000091, 3.9503665826, 10042.6126755918],\n    [0.00000000106, 4.30211754376, 640.8776073822],\n    [0.00000000109, 6.18873803073, 1478.8665740644],\n    [0.00000000088, 1.79608901341, 6247.5131155228],\n    [0.00000000102, 5.58780810365, 2766.267628365],\n    [0.0000000011, 0.94707767481, 3274.1250177854],\n    [0.00000000084, 4.45487801852, 6696.4773245846],\n    [0.00000000085, 2.74791518135, 3407.0998356142],\n    [0.00000000087, 4.51187502918, 220.4126424388],\n    [0.00000000101, 5.94873233824, 8425.6508378148],\n    [0.00000000082, 0.01853826918, 9499.2598620056],\n    [0.0000000008, 0.42610497232, 18052.9295431578],\n    [0.00000000083, 2.96589752222, 6652.7756659318],\n    [0.0000000008, 4.61484797156, 3914.9572250346],\n    [0.00000000089, 3.53078320469, 9485.032768004],\n    [0.00000000079, 1.50228054154, 2111.6503133776],\n    [0.00000000086, 0.42024324898, 956.2891559706],\n    [0.00000000088, 5.46048231018, 16460.33352952499],\n    [0.00000000091, 2.09965252231, 949.1756089698],\n    [0.00000000104, 1.72206104768, 3296.8935143948],\n    [0.00000000103, 1.25691413032, 3384.3313390048],\n    [0.00000000084, 5.78633258361, 5518.7501489918],\n    [0.00000000079, 1.79312483182, 38.1330356378],\n    [0.00000000073, 0.10771411146, 29822.7832363242],\n    [0.00000000087, 2.11653872859, 3450.8187479192],\n    [0.00000000071, 3.89470981165, 9380.9596727172],\n    [0.00000000075, 2.59391377956, 1964.838626854],\n    [0.00000000098, 4.0150080588, 6843.6914895318],\n    [0.00000000079, 2.20331656568, 30220.9322397324],\n    [0.00000000074, 5.32028984035, 11766.2632645146],\n    [0.00000000068, 0.04696396376, 2125.8774073792],\n    [0.00000000069, 6.07535832352, 26482.1708096244],\n    [0.00000000084, 0.16860055001, 263.0839233728],\n    [0.00000000069, 2.05050096393, 29424.634232916],\n    [0.00000000068, 5.03020376497, 9070.1188738488],\n    [0.00000000076, 2.00296092459, 224.3447957019],\n    [0.00000000066, 3.85497672006, 19406.6782881746],\n    [0.00000000066, 5.70059718736, 33561.5446664322],\n    [0.00000000067, 0.16590056505, 22743.4093795164],\n    [0.00000000065, 4.65403865898, 2807.3983432562],\n    [0.00000000069, 3.34398269353, 11670.2840372968],\n    [0.00000000087, 4.97795118361, 1118.7557921028],\n    [0.00000000063, 0.18907107644, 30065.5118402982],\n    [0.00000000064, 4.61910278723, 9886.772200064],\n    [0.00000000073, 0.93704276887, 20735.83216142559],\n    [0.0000000006, 5.83782810193, 8646.0634802536],\n    [0.00000000062, 4.81385996015, 20199.094959633],\n    [0.00000000059, 5.00167022948, 6414.6178116778],\n    [0.00000000068, 3.84295373259, 6571.0185321802],\n    [0.00000000061, 2.81706693695, 6944.3087767724],\n    [0.00000000065, 4.49019257083, 632.7837393132],\n    [0.00000000058, 5.65218977997, 9945.5712088238],\n    [0.00000000071, 2.51550158926, 9638.9407478762],\n    [0.00000000057, 3.2797883147, 206.1855484372],\n    [0.00000000058, 2.97636193658, 21795.21409161479],\n    [0.00000000056, 2.23539566426, 20995.3929664494],\n    [0.00000000057, 1.88470380043, 18451.07854656599],\n    [0.00000000071, 4.8244565433, 8542.970706035],\n    [0.00000000061, 3.65964735564, 14421.8316369884],\n    [0.00000000056, 3.13785930666, 8799.988713778],\n    [0.00000000057, 4.89910616374, 9602.3526362242],\n    [0.00000000065, 3.37158994673, 11610.9101753832],\n    [0.00000000067, 1.92961865108, 21265.5231265202],\n    [0.00000000055, 1.95164531766, 9588.1255422226],\n    [0.00000000057, 2.82246123078, 10124.930054318],\n    [0.00000000057, 6.10387785338, 19800.9459562248],\n    [0.00000000055, 5.20958408712, 3237.5196524812],\n    [0.00000000057, 4.12311973381, 10028.9508271002],\n    [0.00000000054, 1.4169354895, 15906.7641266826],\n    [0.00000000053, 2.16367301961, 6418.1409300268],\n    [0.0000000006, 2.6466463773, 10018.2468514476],\n    [0.00000000068, 5.3654529694, 1228.9621133222],\n    [0.00000000051, 5.73844646896, 6048.4411140864],\n    [0.00000000053, 0.32024828883, 12721.572099417],\n    [0.00000000051, 0.06318823307, 20206.141196331],\n    [0.00000000049, 4.53400634462, 6675.7019290922],\n    [0.00000000051, 1.15453549218, 10156.9023601348],\n    [0.00000000064, 4.56324217308, 16703.07938715119],\n    [0.0000000006, 3.61007876606, 9468.267877257],\n    [0.00000000059, 3.08394474122, 10025.4277087512],\n    [0.00000000064, 2.53221459501, 16703.0448798468],\n    [0.00000000056, 3.31981662811, 6518.7582172674],\n    [0.00000000047, 1.44559124267, 6643.0918177618],\n    [0.0000000005, 1.92346411481, 11614.4332937322],\n    [0.00000000047, 4.03823773711, 23958.6317852334],\n    [0.00000000046, 3.70969689047, 8859.3625756916],\n    [0.0000000006, 2.55451756882, 11780.4903585162],\n    [0.00000000047, 1.69255946598, 6660.8695340008],\n    [0.00000000044, 6.09481156053, 6460.8122109608],\n    [0.00000000044, 2.63075457414, 13936.794505134],\n    [0.00000000053, 0.77837832855, 16865.5287696312],\n    [0.00000000049, 1.83317426993, 17654.7805397496],\n    [0.00000000042, 4.304037944, 9065.5481241288],\n    [0.00000000047, 0.52827244925, 6686.747777707],\n    [0.00000000042, 5.7205368422, 7203.8022714934],\n    [0.00000000041, 0.98430028881, 20426.571092422],\n    [0.00000000051, 3.54371303345, 20597.2439630412],\n    [0.00000000041, 0.21190431801, 7314.0085927128],\n    [0.00000000038, 2.53053802253, 13207.029307365],\n    [0.00000000039, 5.15577529354, 6670.5881880498],\n    [0.00000000045, 0.52366150729, 16489.763038061],\n    [0.00000000051, 3.25181148972, 7799.9806455024],\n    [0.00000000049, 0.7714914545, 17101.2111369072],\n    [0.00000000038, 6.06656444914, 9389.0535407862],\n    [0.00000000036, 0.84094545235, 23937.856389741],\n];\n\nconst VSOP87_B1: Vsop87Element = [\n    [0.00217310991, 6.04472194776, 3340.6124266998],\n    [0.00020976948, Math.PI],\n    [0.00012834709, 1.60810667915, 6681.2248533996],\n    [0.00003320981, 2.62947004077, 10021.8372800994],\n    [0.000006272, 3.11898601248, 13362.4497067992],\n    [0.0000010199, 3.52113557592, 16703.062133499],\n    [0.00000075107, 0.95983758515, 3337.0893083508],\n    [0.00000029264, 3.4030768271, 3344.1355450488],\n    [0.00000023251, 3.69342549027, 5621.8429232104],\n    [0.0000002219, 2.21703408598, 2281.2304965106],\n    [0.00000015454, 3.89610159362, 20043.6745601988],\n    [0.00000011867, 3.83861019788, 6684.7479717486],\n    [0.00000012038, 2.13866775328, 6151.533888305],\n    [0.00000009697, 5.48941186798, 3340.629680352],\n    [0.00000009697, 3.45863925102, 3340.5951730476],\n    [0.00000011537, 1.90395033905, 3532.0606928114],\n    [0.00000009276, 0.71941312462, 2942.4634232916],\n    [0.0000000924, 2.51747952408, 5884.9268465832],\n    [0.00000009876, 6.13507416822, 1059.3819301892],\n    [0.00000009265, 4.55759125226, 8962.4553499102],\n    [0.00000007822, 6.10932267009, 2810.9214616052],\n    [0.00000010369, 0.60195347181, 529.6909650946],\n    [0.00000008522, 4.40106741096, 3496.032826134],\n    [0.00000007683, 1.21169696624, 6677.7017350506],\n    [0.00000007134, 1.93610705535, 2544.3144198834],\n    [0.00000006512, 3.11636422105, 3738.761430108],\n    [0.00000006278, 6.23176923902, 3185.1920272656],\n    [0.00000005833, 0.74324094343, 398.1490034082],\n    [0.00000005033, 2.28727456802, 3149.1641605882],\n    [0.00000004958, 1.54200127913, 6283.0758499914],\n    [0.00000004325, 3.90636722132, 5092.1519581158],\n    [0.00000004813, 3.88560399245, 5486.777843175],\n    [0.00000004474, 2.18937641288, 4136.9104335162],\n    [0.00000003023, 5.1987900053, 5088.6288397668],\n    [0.00000003194, 1.12695072198, 3340.6797370026],\n    [0.00000003167, 0.76774265684, 4399.994356889],\n    [0.00000003066, 0.9392378841, 2914.0142358238],\n    [0.0000000284, 2.51888046278, 3870.3033917944],\n    [0.00000002622, 3.25368667606, 3339.6321056316],\n    [0.00000003192, 1.53317813619, 3340.545116397],\n    [0.00000002879, 4.2058811395, 10025.3603984484],\n    [0.00000002435, 2.4924322903, 1751.539531416],\n    [0.00000002066, 2.96021692416, 3894.1818295422],\n    [0.00000002366, 1.08506560814, 796.2980068164],\n    [0.00000002192, 0.22905210418, 4690.4798363586],\n    [0.00000002398, 0.43514026515, 1194.4470102246],\n    [0.00000002238, 4.06454135883, 7079.3738568078],\n    [0.00000001825, 5.4631939038, 1592.5960136328],\n    [0.00000001808, 4.83342714362, 8432.7643848156],\n    [0.00000002251, 4.25857270742, 23384.2869868986],\n    [0.00000001728, 1.06103820676, 3341.592747768],\n    [0.00000001833, 1.57091276737, 4292.3308329504],\n    [0.00000001581, 0.93404031162, 4535.0594369244],\n    [0.00000001722, 2.98790749378, 6254.6266625236],\n    [0.00000001395, 3.43004445438, 2146.1654164752],\n    [0.00000001739, 4.00666290186, 9492.1463150048],\n    [0.00000001535, 2.94481028624, 6489.776587288],\n    [0.00000001394, 2.71952784799, 7477.522860216],\n    [0.00000001257, 1.34371702718, 2787.0430238574],\n    [0.000000016, 5.41971849753, 3127.3133312618],\n    [0.00000001274, 4.11492658217, 1990.745017041],\n    [0.0000000119, 4.24621398204, 3723.508958923],\n    [0.00000001144, 5.30298760566, 6681.2075997474],\n    [0.00000001376, 0.38090537503, 1589.0728952838],\n    [0.00000001144, 1.05059380873, 6681.2421070518],\n    [0.00000001062, 0.51072898484, 6674.1113063988],\n    [0.00000001355, 0.30172057784, 6525.8044539654],\n    [0.00000001119, 0.28227067739, 12303.06777661],\n    [0.00000000855, 0.15965897606, 2957.7158944766],\n    [0.00000001066, 2.74229978174, 2388.8940204492],\n    [0.00000001056, 4.82485604808, 3583.3410306738],\n    [0.0000000077, 3.92387598679, 7.1135470008],\n    [0.00000000922, 5.97832717399, 3097.88382272579],\n    [0.00000000713, 2.6160160208, 9225.539273283],\n    [0.00000000693, 5.8694579201, 4933.2084403326],\n    [0.00000000738, 5.02837731897, 12832.7587417046],\n    [0.00000000763, 1.29638960572, 7740.6067835888],\n    [0.00000000656, 1.57943668761, 6467.9257579616],\n    [0.00000000663, 0.56970117211, 426.598190876],\n    [0.00000000616, 2.90595542135, 3553.9115221378],\n    [0.00000000609, 4.27586920886, 4562.4609930212],\n    [0.00000000608, 4.6116348842, 10419.9862835076],\n    [0.00000000599, 4.51624214272, 6836.6452528338],\n    [0.00000000565, 3.63229110969, 155.4203994342],\n    [0.00000000562, 0.31418284081, 213.299095438],\n    [0.00000000519, 1.00557611591, 4929.6853219836],\n    [0.00000000504, 4.17532879019, 6041.3275670856],\n    [0.0000000066, 3.62669217851, 7210.9158184942],\n    [0.00000000576, 4.54911948486, 13365.9728251482],\n    [0.00000000625, 1.44798343162, 3333.498879699],\n    [0.0000000052, 1.30331504622, 15643.6802033098],\n    [0.00000000444, 2.0807606946, 10021.8545337516],\n    [0.00000000542, 2.02587783935, 2288.3440435114],\n    [0.00000000509, 1.65323927554, 191.4482661116],\n    [0.00000000444, 0.04999320087, 10021.8200264472],\n    [0.00000000557, 3.31349841992, 9623.6882766912],\n    [0.00000000472, 6.2673112472, 6438.4962494256],\n    [0.00000000559, 4.16781257217, 11773.3768115154],\n    [0.00000000399, 1.32358791559, 7875.6718636242],\n    [0.00000000445, 1.49656750781, 6682.2051744678],\n    [0.00000000385, 0.75203057166, 5614.7293762096],\n    [0.00000000386, 1.92088879703, 3325.3599555148],\n    [0.00000000377, 3.38213849272, 6681.1575430968],\n    [0.0000000036, 3.62049849377, 6680.2445323314],\n    [0.00000000352, 3.40685833182, 9830.3890139878],\n    [0.00000000346, 2.54878403272, 2274.1169495098],\n    [0.00000000336, 5.51924409428, 3361.3878221922],\n    [0.00000000329, 3.58450091417, 1066.49547719],\n    [0.00000000343, 3.80876454378, 9595.2390892234],\n    [0.00000000383, 4.58860426691, 3360.96774609859],\n    [0.00000000367, 4.94614944232, 7903.073419721],\n    [0.00000000318, 3.12211289329, 10818.1352869158],\n    [0.00000000298, 5.16474580641, 1748.016413067],\n    [0.0000000031, 5.77231072116, 3205.5473466644],\n    [0.00000000378, 2.97214989967, 6681.2921637024],\n    [0.00000000303, 3.44801982034, 3319.8370312074],\n    [0.00000000292, 1.69888047283, 6127.6554505572],\n    [0.00000000288, 1.13506530643, 8955.3418029094],\n    [0.00000000281, 0.80027819229, 10018.3141617504],\n    [0.00000000326, 5.9692407692, 639.897286314],\n    [0.00000000309, 1.38061994912, 3767.2106175758],\n    [0.00000000375, 4.48892934736, 5331.3574437408],\n    [0.00000000271, 4.61196466416, 26724.8994135984],\n    [0.00000000266, 3.0892742778, 5729.506447149],\n    [0.0000000029, 2.44792712887, 3355.8648978848],\n    [0.00000000335, 6.08508450491, 3320.257107301],\n    [0.000000003, 0.25476556615, 2700.7151403858],\n    [0.00000000289, 3.45335160291, 382.8965322232],\n    [0.0000000026, 3.56570589402, 8827.3902698748],\n    [0.00000000246, 0.64772929845, 9866.4168806652],\n    [0.00000000298, 4.38515379625, 1052.2683831884],\n    [0.00000000251, 4.40903417777, 12964.300703391],\n    [0.0000000026, 1.27300653213, 3347.7259737006],\n    [0.0000000028, 1.4918258333, 10213.285546211],\n    [0.00000000225, 2.73440886519, 6872.6731195112],\n    [0.00000000225, 5.1664234392, 6923.9534573736],\n    [0.00000000226, 2.68107364511, 1221.8485663214],\n    [0.00000000222, 4.38874821491, 242.728603974],\n    [0.00000000209, 5.0159170829, 6144.4203413042],\n    [0.00000000268, 2.27786943096, 553.5694028424],\n    [0.00000000218, 0.5329958281, 6298.3283211764],\n    [0.00000000261, 3.89759063291, 6894.5239488376],\n    [0.00000000213, 1.06038488787, 2118.7638603784],\n    [0.0000000021, 4.74220753176, 9381.9399937854],\n    [0.00000000192, 0.18364684632, 522.5774180938],\n    [0.00000000186, 1.48154759746, 7064.1213856228],\n    [0.00000000176, 3.93023367762, 2921.1277828246],\n    [0.00000000208, 4.86366921136, 3344.2028553516],\n    [0.00000000201, 0.36731227894, 8969.568896911],\n    [0.00000000209, 4.43309730358, 3337.021998048],\n    [0.00000000163, 4.54501296893, 11243.6858464208],\n    [0.00000000161, 1.62341728854, 11081.2192102886],\n    [0.00000000152, 3.98251813705, 10021.9045904022],\n    [0.00000000145, 1.06283180181, 951.7184062506],\n    [0.00000000149, 4.55824612447, 10551.528245194],\n    [0.00000000184, 5.37374692745, 16173.3711684044],\n    [0.00000000143, 2.00077774476, 6688.3384004004],\n    [0.00000000145, 4.53139041634, 3312.163239232],\n    [0.00000000156, 6.2607030143, 5628.9564702112],\n    [0.00000000157, 5.56167088817, 536.8045120954],\n    [0.00000000133, 5.43195789258, 13358.9265884502],\n    [0.00000000144, 1.31943624453, 3364.4908644476],\n    [0.00000000156, 4.10544868136, 6158.6474353058],\n    [0.00000000157, 6.23025291402, 8273.8208670324],\n    [0.00000000134, 4.31700501659, 8031.0922630584],\n    [0.00000000124, 1.26816196203, 8270.2977486834],\n    [0.00000000156, 4.39354558071, 10021.7699697966],\n    [0.00000000144, 2.48806691402, 3503.079062832],\n    [0.00000000118, 1.78550823737, 18984.2926300096],\n    [0.0000000011, 6.12714281903, 7632.9432596502],\n    [0.00000000127, 3.05541911618, 3316.733988952],\n    [0.00000000109, 0.91919644775, 10014.7237330986],\n    [0.00000000102, 1.54908471746, 7234.794256242],\n    [0.000000001, 5.04817125533, 13760.5987102074],\n    [0.00000000132, 2.6659026358, 8429.2412664666],\n    [0.00000000126, 0.13960736597, 1349.8674096588],\n    [0.000000001, 0.74385347353, 2487.4160449478],\n    [0.00000000091, 0.24627212892, 3980.5097130138],\n    [0.00000000112, 2.304755908, 3346.1353510072],\n    [0.00000000103, 4.23425277305, 3475.6775067352],\n    [0.00000000109, 3.21402242606, 17654.7805397496],\n    [0.00000000082, 0.28323060532, 15113.9892382152],\n    [0.00000000083, 0.53618493739, 13362.432453147],\n    [0.00000000096, 3.66896983898, 12168.0026965746],\n    [0.00000000083, 2.56708795058, 13362.4669604514],\n    [0.00000000077, 4.92321070753, 16706.585251848],\n    [0.00000000097, 2.11149094902, 3178.1457905676],\n    [0.00000000074, 0.95663828948, 2699.7348193176],\n    [0.00000000083, 1.82502676147, 3.523118349],\n    [0.00000000085, 5.22946780555, 3304.5845600224],\n    [0.00000000083, 3.10647417, 1758.6530784168],\n    [0.0000000007, 5.11510436801, 5828.0284716476],\n    [0.00000000077, 1.77323016185, 3335.0895023924],\n    [0.00000000082, 5.25824044848, 853.196381752],\n    [0.00000000067, 0.98915661779, 433.7117378768],\n    [0.00000000078, 3.62913840245, 1596.1864422846],\n    [0.00000000078, 1.56367501585, 3336.7310913418],\n    [0.00000000084, 4.62334317796, 11371.7046897582],\n    [0.00000000072, 3.62008128206, 1581.959348283],\n    [0.00000000072, 4.05769658716, 4407.1079038898],\n    [0.00000000085, 0.75421401009, 5459.3762870782],\n    [0.00000000074, 1.03163916867, 5085.038411115],\n    [0.00000000058, 3.24082931383, 13517.8701062334],\n    [0.00000000056, 3.73441989631, 10713.9948813262],\n    [0.00000000061, 1.52242466354, 18052.9295431578],\n    [0.00000000053, 0.69821482369, 6702.000248892],\n    [0.00000000057, 2.7643910391, 3344.4937620578],\n    [0.00000000069, 1.99074407937, 10575.4066829418],\n    [0.00000000059, 1.90513947603, 10022.8176011676],\n    [0.00000000051, 0.93662679832, 14314.1681130498],\n    [0.00000000069, 5.42699929964, 3376.6402933772],\n    [0.00000000053, 4.87818342068, 8671.9698704406],\n    [0.00000000065, 3.39290651505, 14584.2982731206],\n    [0.00000000057, 1.70570965163, 2648.454825473],\n    [0.00000000054, 5.49765437527, 3369.0616141676],\n    [0.00000000054, 2.28971906454, 12566.1516999828],\n    [0.00000000068, 4.60849144076, 7373.3824546264],\n    [0.00000000049, 2.89959771413, 13916.0191096416],\n    [0.00000000058, 4.18351190862, 10177.2576795336],\n    [0.00000000058, 4.51310742397, 4032.7700279266],\n    [0.00000000048, 3.42793333559, 1744.4259844152],\n    [0.00000000064, 0.45002982477, 3863.1898447936],\n    [0.00000000047, 5.88584556234, 10973.55568635],\n    [0.00000000057, 1.76184909465, 11216.284290324],\n    [0.00000000053, 1.35755250698, 21393.5419698576],\n    [0.00000000059, 2.9119789381, 3981.490034082],\n    [0.00000000053, 4.03461050047, 11769.8536931664],\n    [0.00000000052, 2.05672710904, 10404.7338123226],\n    [0.0000000006, 4.31863902545, 3077.528503327],\n    [0.0000000006, 4.94577585891, 3603.6963500726],\n    [0.00000000052, 3.45056061273, 9808.5381846614],\n    [0.00000000048, 3.83792333621, 13171.0014406876],\n    [0.0000000005, 1.55014152662, 419.4846438752],\n    [0.00000000042, 1.56007012481, 8425.6508378148],\n    [0.0000000004, 4.52149159432, 10235.1363755374],\n    [0.00000000045, 4.94000875201, 16304.9131300908],\n    [0.00000000042, 2.03301048111, 7107.8230442756],\n    [0.00000000055, 2.94325348897, 640.8776073822],\n    [0.00000000039, 0.82091082076, 12310.1813236108],\n    [0.0000000004, 3.2901367269, 6247.5131155228],\n    [0.0000000004, 0.33830589904, 6531.661656265],\n    [0.00000000044, 4.73395183232, 20597.2439630412],\n    [0.00000000037, 0.01359265708, 3914.9572250346],\n    [0.00000000037, 3.04848190227, 2766.267628365],\n    [0.00000000037, 4.13243009725, 17256.6315363414],\n    [0.00000000043, 3.2744266679, 20995.3929664494],\n    [0.00000000035, 0.2985652333, 9779.1086761254],\n    [0.00000000045, 0.96453304167, 18454.601664915],\n    [0.00000000036, 0.18334758502, 6660.8695340008],\n    [0.00000000043, 1.23912278835, 8439.8779318164],\n    [0.00000000034, 2.83078633705, 6696.4773245846],\n    [0.00000000043, 5.80649509131, 9168.6408983474],\n    [0.00000000034, 3.4688411335, 9070.1188738488],\n    [0.00000000037, 5.04438408684, 1692.1656695024],\n    [0.0000000004, 1.15262282119, 14712.317116458],\n    [0.00000000035, 2.33581709312, 76.2660712756],\n    [0.0000000004, 3.54052855946, 14158.7477136156],\n    [0.00000000032, 4.9607870365, 24734.1543965574],\n    [0.00000000029, 2.34589185801, 13745.3462390224],\n    [0.0000000003, 6.17825920695, 12935.8515159232],\n    [0.00000000036, 4.78354946118, 3191.0492295652],\n    [0.00000000028, 4.98887480054, 30065.5118402982],\n    [0.00000000028, 2.51507274088, 692.1576012268],\n    [0.00000000027, 1.02364014288, 13207.029307365],\n    [0.00000000035, 2.06348913435, 9468.267877257],\n    [0.00000000027, 6.07463404086, 20199.094959633],\n    [0.00000000027, 4.9780805768, 13362.3823964964],\n    [0.00000000033, 1.46173724832, 12295.9542296092],\n    [0.00000000025, 4.5478244536, 9499.2598620056],\n    [0.00000000025, 5.21847833578, 5099.2655051166],\n    [0.00000000025, 5.90368432966, 19513.9835951042],\n    [0.00000000025, 5.54544644558, 10264.5658840734],\n    [0.00000000029, 5.69085985167, 16699.53901514999],\n    [0.0000000003, 1.43603228163, 6040.3472460174],\n    [0.00000000028, 5.41811683281, 15110.4661198662],\n    [0.00000000032, 2.25828272513, 6665.9723822146],\n    [0.00000000023, 5.38626329146, 6660.4494579072],\n    [0.00000000023, 3.75194149686, 14054.607308026],\n    [0.00000000028, 4.86716760481, 6701.5801727984],\n    [0.00000000027, 5.26172837256, 6816.289933435],\n    [0.00000000023, 4.66125245752, 13149.1506113612],\n    [0.00000000027, 0.9182178526, 9638.9407478762],\n    [0.00000000023, 0.60587177409, 6604.958782124],\n    [0.00000000025, 0.78041098485, 11766.2632645146],\n    [0.00000000025, 3.94777048397, 10020.8569590312],\n    [0.00000000026, 5.36280311705, 9485.032768004],\n    [0.0000000002, 2.45752476953, 10028.9508271002],\n    [0.0000000002, 0.38029885589, 11614.4332937322],\n    [0.00000000026, 4.53241539149, 13362.517017102],\n    [0.00000000019, 3.71366407424, 9588.1255422226],\n    [0.00000000022, 5.20856925736, 13892.1406718938],\n];\n\nconst VSOP87_B2: Vsop87Element = [\n    [0.00008888446, 1.06196052751, 3340.6124266998],\n    [0.00002595393, Math.PI],\n    [0.00000918914, 0.1153843119, 6681.2248533996],\n    [0.00000267883, 0.78837893063, 10021.8372800994],\n    [0.00000066911, 1.39435595847, 13362.4497067992],\n    [0.00000014267, 1.87268116087, 16703.062133499],\n    [0.00000007948, 2.58819177832, 3337.0893083508],\n    [0.00000002709, 2.29241371893, 20043.6745601988],\n    [0.00000002911, 1.36634316448, 3344.1355450488],\n    [0.00000002528, 6.00423798411, 3496.032826134],\n    [0.00000001617, 5.72212771018, 5621.8429232104],\n    [0.00000001625, 4.63140305669, 3185.1920272656],\n    [0.00000001173, 2.0487181208, 6684.7479717486],\n    [0.00000001066, 1.15825195582, 2281.2304965106],\n    [0.00000001043, 3.54796199484, 3532.0606928114],\n    [0.00000000724, 4.20458660775, 5884.9268465832],\n    [0.0000000061, 5.22430575829, 2810.9214616052],\n    [0.00000000557, 2.75698163218, 2942.4634232916],\n    [0.00000000655, 2.84033212598, 6677.7017350506],\n    [0.00000000641, 5.44557723446, 5486.777843175],\n    [0.00000000498, 4.59850630546, 3894.1818295422],\n    [0.00000000501, 0.52535712881, 5088.6288397668],\n    [0.00000000521, 4.66308888977, 1059.3819301892],\n    [0.0000000049, 3.99314993252, 2544.3144198834],\n    [0.00000000408, 4.93937427401, 3339.6321056316],\n    [0.00000000396, 0.51430149629, 3340.629680352],\n    [0.0000000047, 2.68379670864, 23384.2869868986],\n    [0.00000000389, 6.00426372731, 8962.4553499102],\n    [0.00000000446, 3.8130704039, 6151.533888305],\n    [0.00000000396, 4.76665218791, 3340.5951730476],\n    [0.0000000036, 0.30420986478, 4136.9104335162],\n    [0.00000000368, 2.55488502496, 10025.3603984484],\n    [0.00000000417, 2.05816647037, 529.6909650946],\n    [0.00000000393, 1.18623350431, 3097.88382272579],\n    [0.00000000318, 4.8908398618, 5092.1519581158],\n    [0.00000000311, 0.52479429819, 3149.1641605882],\n    [0.00000000339, 1.9133065855, 4690.4798363586],\n    [0.00000000351, 3.22939666067, 4292.3308329504],\n    [0.000000004, 4.99682542425, 6525.8044539654],\n    [0.00000000269, 5.24048656863, 4399.994356889],\n    [0.00000000269, 6.01045237753, 2787.0430238574],\n    [0.00000000242, 5.84228858137, 3723.508958923],\n    [0.000000003, 3.3378091887, 3583.3410306738],\n    [0.0000000023, 1.39226657786, 3738.761430108],\n    [0.00000000192, 5.54090794612, 3341.592747768],\n    [0.00000000185, 2.67271130688, 6283.0758499914],\n    [0.00000000184, 2.21130914624, 7079.3738568078],\n    [0.0000000017, 5.17306622171, 6254.6266625236],\n    [0.00000000186, 3.6821234893, 1592.5960136328],\n    [0.00000000168, 2.39044142684, 1990.745017041],\n    [0.00000000201, 0.91789291159, 2388.8940204492],\n    [0.00000000171, 4.81773821378, 1194.4470102246],\n    [0.00000000181, 2.501456884, 398.1490034082],\n    [0.00000000177, 5.42788143021, 4535.0594369244],\n    [0.00000000153, 5.20921140136, 2146.1654164752],\n    [0.00000000131, 2.41348963069, 3340.6797370026],\n    [0.0000000015, 1.54231915192, 6438.4962494256],\n    [0.00000000149, 0.96225780576, 7477.522860216],\n    [0.00000000129, 5.26033357561, 155.4203994342],\n    [0.00000000158, 4.47988793489, 3333.498879699],\n    [0.00000000133, 6.05902381899, 6836.6452528338],\n    [0.0000000012, 4.73910738283, 2957.7158944766],\n    [0.00000000117, 2.22260771124, 6674.1113063988],\n    [0.00000000136, 5.83288551607, 796.2980068164],\n    [0.00000000157, 1.15241959296, 6489.776587288],\n    [0.0000000011, 4.19180987487, 4933.2084403326],\n    [0.0000000013, 2.84683198305, 3340.545116397],\n    [0.00000000121, 2.52786285342, 9492.1463150048],\n    [0.00000000108, 0.08979902661, 1748.016413067],\n    [0.00000000117, 5.82410316896, 2914.0142358238],\n    [0.00000000086, 2.0192729784, 7.1135470008],\n    [0.00000000082, 3.80856644509, 6681.2075997474],\n    [0.00000000082, 5.83941329915, 6681.2421070518],\n    [0.00000000076, 0.0826282107, 6127.6554505572],\n    [0.00000000091, 2.96288127149, 13365.9728251482],\n    [0.0000000008, 2.85318684748, 8955.3418029094],\n    [0.00000000083, 5.02941237478, 12303.06777661],\n    [0.00000000074, 3.62624366705, 6923.9534573736],\n    [0.00000000072, 1.17271788888, 3127.3133312618],\n    [0.00000000095, 4.98093994365, 1589.0728952838],\n    [0.00000000087, 5.81716080338, 7740.6067835888],\n    [0.00000000089, 0.48604673074, 3870.3033917944],\n    [0.00000000066, 3.06598137329, 26724.8994135984],\n    [0.00000000067, 6.01736846209, 6682.2051744678],\n    [0.0000000007, 0.64135636261, 2288.3440435114],\n    [0.00000000063, 3.19176567675, 12832.7587417046],\n    [0.00000000063, 2.70869032431, 242.728603974],\n    [0.00000000062, 5.92753482553, 7875.6718636242],\n    [0.00000000074, 5.12213534011, 9866.4168806652],\n    [0.00000000076, 2.80770234482, 5331.3574437408],\n    [0.00000000063, 1.40446619803, 5729.506447149],\n    [0.00000000065, 1.35907629616, 1349.8674096588],\n    [0.00000000056, 2.65764515134, 951.7184062506],\n    [0.00000000067, 4.84212554978, 2274.1169495098],\n    [0.00000000069, 2.48893325965, 10419.9862835076],\n    [0.00000000051, 5.98407977888, 6041.3275670856],\n    [0.00000000049, 4.85570926461, 4562.4609930212],\n    [0.00000000058, 4.99207597345, 8969.568896911],\n    [0.00000000043, 5.63823020899, 4929.6853219836],\n    [0.00000000058, 6.20594898525, 3347.7259737006],\n    [0.00000000057, 2.89730834453, 10018.3141617504],\n    [0.00000000058, 3.89480774042, 553.5694028424],\n    [0.00000000047, 5.12333023108, 426.598190876],\n    [0.00000000042, 1.03283454214, 6681.2921637024],\n    [0.00000000051, 1.17739312127, 1751.539531416],\n    [0.00000000036, 4.7157651459, 6298.3283211764],\n    [0.00000000041, 4.11801359055, 10021.8200264472],\n    [0.00000000036, 2.79629985388, 213.299095438],\n    [0.00000000033, 5.67092277262, 15643.6802033098],\n    [0.00000000033, 1.68550281175, 9830.3890139878],\n    [0.00000000032, 2.78277698783, 7210.9158184942],\n    [0.00000000041, 6.14975635778, 10021.8545337516],\n    [0.00000000031, 1.46914313245, 10818.1352869158],\n    [0.0000000003, 5.11654548214, 11773.3768115154],\n    [0.0000000003, 5.94013525093, 3767.2106175758],\n    [0.00000000028, 1.35093398031, 3553.9115221378],\n    [0.00000000027, 0.84036429724, 7632.9432596502],\n    [0.00000000029, 5.7652910485, 8031.0922630584],\n    [0.00000000026, 0.25856730853, 1066.49547719],\n    [0.00000000024, 0.67405360149, 3360.96774609859],\n    [0.00000000024, 2.34265028137, 3320.257107301],\n    [0.00000000028, 1.8168036866, 9623.6882766912],\n    [0.00000000022, 6.24243881749, 8432.7643848156],\n    [0.00000000021, 5.25722436514, 6680.2445323314],\n    [0.00000000023, 4.24982817116, 3325.3599555148],\n    [0.00000000022, 5.05378057964, 3355.8648978848],\n    [0.00000000026, 5.21495958693, 382.8965322232],\n    [0.00000000023, 2.27453854146, 7234.794256242],\n    [0.00000000025, 1.69816682992, 6872.6731195112],\n    [0.00000000023, 4.13297133971, 639.897286314],\n    [0.00000000019, 4.63736307953, 8429.2412664666],\n    [0.00000000018, 0.29318941103, 640.8776073822],\n    [0.00000000017, 3.12909635955, 6467.9257579616],\n    [0.00000000016, 1.92178558286, 6681.1575430968],\n    [0.00000000016, 0.47472874553, 1052.2683831884],\n    [0.00000000016, 0.09800770199, 11081.2192102886],\n    [0.00000000018, 3.26217306584, 7064.1213856228],\n    [0.00000000016, 5.48746970528, 9595.2390892234],\n    [0.00000000019, 4.63958564261, 8273.8208670324],\n    [0.00000000015, 2.52623641715, 191.4482661116],\n    [0.00000000016, 1.95271387752, 2699.7348193176],\n    [0.00000000015, 4.31015619343, 8827.3902698748],\n    [0.00000000014, 1.08241159656, 10973.55568635],\n    [0.00000000015, 6.00000660183, 11371.7046897582],\n    [0.00000000013, 0.22518942674, 6688.3384004004],\n    [0.00000000013, 2.42192861366, 10575.4066829418],\n    [0.00000000011, 2.53752217003, 12964.300703391],\n    [0.00000000011, 4.80028625279, 11769.8536931664],\n    [0.00000000014, 3.84407896636, 16173.3711684044],\n    [0.00000000011, 1.79883656022, 9779.1086761254],\n    [0.0000000001, 3.38769942924, 16706.585251848],\n    [0.00000000013, 2.15740232885, 6894.5239488376],\n    [0.0000000001, 5.38827104551, 12310.1813236108],\n    [0.00000000012, 3.76810144879, 9225.539273283],\n    [0.00000000011, 3.25290731199, 8671.9698704406],\n    [0.00000000011, 2.9056411882, 6040.3472460174],\n    [0.0000000001, 5.69430086859, 13207.029307365],\n    [0.00000000009, 3.26007781906, 13760.5987102074],\n    [0.00000000009, 2.65306894671, 10551.528245194],\n    [0.00000000009, 1.95264065659, 9070.1188738488],\n    [0.00000000011, 0.42402934223, 9381.9399937854],\n];\n\nconst VSOP87_B3: Vsop87Element = [\n    [0.00000330418, 2.04215300484, 3340.6124266998],\n    [0.00000093057],\n    [0.00000014546, 5.38525967237, 10021.8372800994],\n    [0.00000008731, 4.90252313032, 6681.2248533996],\n    [0.00000005215, 5.97441462813, 13362.4497067992],\n    [0.00000001422, 0.21283650226, 16703.062133499],\n    [0.00000000585, 4.14327356645, 3337.0893083508],\n    [0.00000000489, 1.32053432093, 3496.032826134],\n    [0.00000000332, 0.67062028539, 20043.6745601988],\n    [0.00000000281, 3.02888736938, 3185.1920272656],\n    [0.00000000095, 0.68129190368, 5621.8429232104],\n    [0.00000000117, 6.20178829761, 3344.1355450488],\n    [0.000000001, 2.70816972496, 3097.88382272579],\n    [0.00000000086, 0.38064581922, 6684.7479717486],\n    [0.00000000071, 6.2441226028, 3894.1818295422],\n    [0.00000000079, 5.14539339999, 3532.0606928114],\n    [0.0000000008, 3.42045199039, 6525.8044539654],\n    [0.00000000061, 3.81929342821, 2942.4634232916],\n    [0.00000000066, 0.952649881, 23384.2869868986],\n    [0.00000000062, 1.65751945223, 3583.3410306738],\n    [0.00000000062, 5.30607853843, 2544.3144198834],\n    [0.00000000042, 0.30552815689, 3339.6321056316],\n    [0.00000000037, 4.37754880706, 2787.0430238574],\n    [0.00000000043, 4.9045727918, 4292.3308329504],\n    [0.00000000036, 3.58183533863, 4690.4798363586],\n    [0.00000000034, 0.89018356943, 10025.3603984484],\n    [0.00000000032, 2.34732348899, 5088.6288397668],\n    [0.00000000028, 1.23206084526, 3723.508958923],\n    [0.00000000026, 0.56214389305, 155.4203994342],\n    [0.00000000026, 4.11359839477, 6677.7017350506],\n    [0.00000000026, 0.37391494322, 2146.1654164752],\n    [0.00000000024, 5.7880201351, 5884.9268465832],\n    [0.00000000021, 2.91916849909, 529.6909650946],\n    [0.00000000019, 4.86965145048, 4136.9104335162],\n    [0.00000000023, 1.04314198221, 5486.777843175],\n    [0.00000000018, 4.95637454569, 3149.1641605882],\n    [0.00000000017, 6.2354625897, 7079.3738568078],\n    [0.00000000017, 3.82096761296, 3341.592747768],\n    [0.00000000019, 5.66874348929, 2388.8940204492],\n    [0.00000000015, 5.13426153783, 6489.776587288],\n    [0.00000000014, 0.53723500958, 1990.745017041],\n    [0.00000000014, 3.07166661567, 2957.7158944766],\n    [0.00000000012, 1.0014146476, 3340.629680352],\n    [0.00000000012, 5.24418015401, 3340.5951730476],\n    [0.00000000013, 0.4116283618, 8962.4553499102],\n    [0.00000000012, 3.81140154428, 9866.4168806652],\n    [0.00000000012, 4.25382428399, 6151.533888305],\n    [0.00000000015, 3.63297907536, 4535.0594369244],\n    [0.00000000012, 1.61461268629, 1592.5960136328],\n    [0.0000000001, 5.80958145013, 3333.498879699],\n    [0.0000000001, 1.23772110632, 6836.6452528338],\n    [0.00000000009, 1.44366353557, 26724.8994135984],\n    [0.00000000008, 2.02732749775, 6923.9534573736],\n    [0.00000000009, 3.19116537565, 6438.4962494256],\n    [0.00000000008, 1.85197515729, 1194.4470102246],\n    [0.00000000008, 2.56762648035, 398.1490034082],\n    [0.00000000007, 3.69377532737, 4399.994356889],\n    [0.00000000005, 4.73479766634, 6127.6554505572],\n    [0.00000000005, 0.3910954722, 5092.1519581158],\n    [0.00000000006, 1.41716854423, 13365.9728251482],\n    [0.00000000005, 3.98879770109, 6283.0758499914],\n    [0.00000000005, 1.86523815587, 1059.3819301892],\n    [0.00000000006, 5.52177150128, 7477.522860216],\n    [0.00000000005, 1.92244747457, 2810.9214616052],\n];\n\nconst VSOP87_B4: Vsop87Element = [\n    [0.00000006007, 3.37637101191, 3340.6124266998],\n    [0.00000006625],\n    [0.00000000464, 3.7720275715, 10021.8372800994],\n    [0.00000000405, 0.63107416776, 6681.2248533996],\n    [0.00000000299, 4.32966790803, 13362.4497067992],\n    [0.00000000109, 4.85358280107, 16703.062133499],\n    [0.00000000077, 2.88080440451, 3496.032826134],\n    [0.00000000039, 1.4319759036, 3185.1920272656],\n    [0.00000000031, 5.67989354532, 3337.0893083508],\n    [0.00000000031, 5.33373014736, 20043.6745601988],\n    [0.00000000017, 4.32019018052, 3097.88382272579],\n    [0.00000000013, 1.77444975035, 6525.8044539654],\n    [0.0000000001, 0.04059602724, 3583.3410306738],\n    [0.00000000007, 4.46709463778, 6684.7479717486],\n    [0.00000000006, 1.85656049405, 2787.0430238574],\n    [0.00000000006, 1.15875671922, 3894.1818295422],\n    [0.00000000006, 5.76437007548, 23384.2869868986],\n    [0.00000000003, 2.91488661915, 6836.6452528338],\n];\n\nconst VSOP87_B5: Vsop87Element = [\n    [0.00000000368, 4.63460005338, 3340.6124266998],\n    [0.00000000045, 5.14206308865, 6681.2248533996],\n    [0.00000000035, Math.PI],\n    [0.00000000012, 2.68434578055, 13362.4497067992],\n    [0.0000000001, 4.43919916342, 3496.032826134],\n    [0.00000000006, 1.70177189273, 10021.8372800994],\n    [0.00000000005, 3.2041510462, 16703.062133499],\n    [0.00000000004, 6.15670065734, 3185.1920272656],\n    [0.00000000001, 3.71915090755, 20043.6745601988],\n];\n\nconst VSOP87_R0: Vsop87Element = [\n    [1.53033488271],\n    [0.1418495316, 3.47971283528, 3340.6124266998],\n    [0.00660776362, 3.81783443019, 6681.2248533996],\n    [0.00046179117, 4.15595316782, 10021.8372800994],\n    [0.00008109733, 5.55958416318, 2810.9214616052],\n    [0.00007485318, 1.77239078402, 5621.8429232104],\n    [0.00005523191, 1.3643630377, 2281.2304965106],\n    [0.0000382516, 4.49407183687, 13362.4497067992],\n    [0.00002306537, 0.09081579001, 2544.3144198834],\n    [0.00001999396, 5.36059617709, 3337.0893083508],\n    [0.00002484394, 4.9254563992, 2942.4634232916],\n    [0.00001960195, 4.74249437639, 3344.1355450488],\n    [0.00001167119, 2.11260868341, 5092.1519581158],\n    [0.00001102816, 5.00908403998, 398.1490034082],\n    [0.00000899066, 4.40791133207, 529.6909650946],\n    [0.00000992252, 5.83861961952, 6151.533888305],\n    [0.00000807354, 2.10217065501, 1059.3819301892],\n    [0.00000797915, 3.44839203899, 796.2980068164],\n    [0.00000740975, 1.49906336885, 2146.1654164752],\n    [0.00000692339, 2.13378874689, 8962.4553499102],\n    [0.00000633144, 0.89353283242, 3340.5951730476],\n    [0.00000725583, 1.24516810723, 8432.7643848156],\n    [0.0000063314, 2.92430446399, 3340.629680352],\n    [0.00000574355, 0.82896244455, 2914.0142358238],\n    [0.00000526166, 5.38292991236, 3738.761430108],\n    [0.00000629978, 1.28737486495, 1751.539531416],\n    [0.00000472775, 5.19850522346, 3127.3133312618],\n    [0.00000348095, 4.83219199976, 16703.062133499],\n    [0.00000283713, 2.90692064724, 3532.0606928114],\n    [0.00000279543, 5.2574968538, 6283.0758499914],\n    [0.00000233857, 5.10545987572, 5486.777843175],\n    [0.00000219427, 5.58340231744, 191.4482661116],\n    [0.00000269896, 3.76393625127, 5884.9268465832],\n    [0.00000208335, 5.25476078693, 3340.545116397],\n    [0.00000275217, 2.90817482492, 1748.016413067],\n    [0.00000275506, 1.21767950614, 6254.6266625236],\n    [0.00000239119, 2.03669934656, 1194.4470102246],\n    [0.00000223189, 4.19861535147, 3149.1641605882],\n    [0.00000182689, 5.08062725665, 6684.7479717486],\n    [0.00000186207, 5.6987157241, 6677.7017350506],\n    [0.00000176, 5.95341919657, 3870.3033917944],\n    [0.00000178617, 4.18423004741, 3333.498879699],\n    [0.0000020833, 4.84626439637, 3340.6797370026],\n    [0.00000228126, 3.25526555588, 6872.6731195112],\n    [0.00000144312, 0.2130621946, 5088.6288397668],\n    [0.00000163527, 3.79888811958, 4136.9104335162],\n    [0.00000133126, 1.53906679361, 7903.073419721],\n    [0.00000141755, 2.47792380112, 4562.4609930212],\n    [0.00000114927, 4.31748869065, 1349.8674096588],\n    [0.00000118789, 2.12168482244, 1589.0728952838],\n    [0.00000102094, 6.18145185708, 9492.1463150048],\n    [0.0000012857, 5.49884728795, 8827.3902698748],\n    [0.00000111546, 0.55346108403, 11243.6858464208],\n    [0.00000082498, 1.62220096558, 11773.3768115154],\n    [0.00000083204, 0.61551135046, 8429.2412664666],\n    [0.00000084463, 0.62274409931, 1592.5960136328],\n    [0.00000086666, 1.74984525176, 2700.7151403858],\n    [0.00000071813, 2.4749406548, 12303.06777661],\n    [0.00000085321, 1.61634750496, 4690.4798363586],\n    [0.00000063641, 2.67334163937, 426.598190876],\n    [0.00000068601, 2.40188234283, 4399.994356889],\n    [0.00000058559, 4.7205283999, 213.299095438],\n    [0.00000062009, 1.10068565926, 1221.8485663214],\n    [0.00000066499, 2.21296335919, 6041.3275670856],\n    [0.0000005581, 1.2328806632, 3185.1920272656],\n    [0.00000054969, 5.72695354791, 951.7184062506],\n    [0.0000005243, 3.0236809553, 4292.3308329504],\n    [0.00000055688, 5.44688671707, 3723.508958923],\n    [0.00000058959, 3.26242460622, 6681.2421070518],\n    [0.00000044638, 2.01459444131, 8031.0922630584],\n    [0.00000058959, 1.2316529679, 6681.2075997474],\n    [0.00000042439, 2.26554261514, 155.4203994342],\n    [0.00000038955, 2.57760417339, 3341.592747768],\n    [0.0000005155, 5.72324451485, 7079.3738568078],\n    [0.0000004894, 5.61613493545, 3553.9115221378],\n    [0.00000045406, 5.43303278149, 6467.9257579616],\n    [0.00000036438, 4.43922435395, 3894.1818295422],\n    [0.0000003598, 1.15972378713, 2288.3440435114],\n    [0.00000035268, 5.49032233898, 1990.745017041],\n    [0.00000042192, 1.63254827838, 5628.9564702112],\n    [0.00000044292, 5.00344221303, 5614.7293762096],\n    [0.00000033616, 5.17029030468, 20043.6745601988],\n    [0.00000043256, 1.03722397198, 11769.8536931664],\n    [0.00000039237, 1.24237030858, 3339.6321056316],\n    [0.00000031949, 4.59259676953, 2274.1169495098],\n    [0.00000030352, 2.44163963455, 11371.7046897582],\n    [0.00000032269, 2.38222363233, 4535.0594369244],\n    [0.00000031855, 4.37536980289, 3.523118349],\n    [0.00000029342, 4.06035002188, 3097.88382272579],\n    [0.00000031967, 1.93969979134, 382.8965322232],\n    [0.00000026164, 5.58463559826, 9623.6882766912],\n    [0.00000027903, 4.25809486053, 3191.0492295652],\n    [0.00000033044, 0.85475620169, 553.5694028424],\n    [0.00000027544, 1.5766864517, 9595.2390892234],\n    [0.00000025163, 0.81337734264, 10713.9948813262],\n    [0.00000022045, 0.85711201558, 3319.8370312074],\n    [0.00000024759, 5.38993953923, 2818.035008606],\n    [0.00000023352, 6.0145897459, 3496.032826134],\n    [0.00000024723, 2.58025225634, 2803.8079146044],\n    [0.00000019361, 5.18528881954, 6681.2921637024],\n    [0.00000019118, 5.419693554, 10025.3603984484],\n    [0.00000019361, 5.59378511334, 6681.1575430968],\n    [0.00000018331, 5.7956572331, 7064.1213856228],\n    [0.00000018188, 5.61299105522, 7.1135470008],\n    [0.00000020393, 4.53615443964, 6489.776587288],\n    [0.00000021258, 6.19174428363, 14054.607308026],\n    [0.00000017094, 1.54988538094, 2957.7158944766],\n    [0.00000022794, 3.41719468533, 7632.9432596502],\n    [0.00000020561, 2.98654120324, 3361.3878221922],\n    [0.0000001705, 6.15529583629, 10404.7338123226],\n    [0.00000018007, 2.81505100996, 4032.7700279266],\n    [0.00000016487, 3.84534133372, 10973.55568635],\n    [0.00000016056, 0.92819026247, 14584.2982731206],\n    [0.00000021008, 2.38506850221, 4989.0591838972],\n    [0.00000016291, 1.92190075688, 7373.3824546264],\n    [0.00000016286, 6.28252184173, 7210.9158184942],\n    [0.00000018575, 4.07319565284, 2388.8940204492],\n    [0.00000015976, 4.58379703739, 3264.3463554242],\n    [0.00000019909, 2.73523951203, 5099.2655051166],\n    [0.00000019667, 1.86294734899, 3443.7052009184],\n    [0.000000165, 4.1406165717, 7477.522860216],\n    [0.00000019492, 6.03778625701, 10018.3141617504],\n    [0.00000015097, 2.65433832872, 2787.0430238574],\n    [0.00000019099, 0.22623513076, 13745.3462390224],\n    [0.00000017164, 3.1882629935, 3347.7259737006],\n    [0.00000013407, 2.12775612449, 3344.2028553516],\n    [0.00000015407, 2.20766468871, 2118.7638603784],\n    [0.00000017246, 3.67064642858, 3205.5473466644],\n    [0.00000013091, 4.27475419816, 14314.1681130498],\n    [0.00000016437, 2.86612474805, 14712.317116458],\n    [0.00000016648, 4.521351492, 6674.1113063988],\n    [0.00000013718, 1.68586111426, 3337.021998048],\n    [0.00000011824, 0.19675650045, 3475.6775067352],\n    [0.00000011757, 3.23020638064, 5828.0284716476],\n    [0.00000011884, 4.82075035433, 7234.794256242],\n    [0.00000010608, 1.73995972784, 639.897286314],\n    [0.00000011143, 0.23833349966, 12832.7587417046],\n    [0.00000011028, 0.4455568729, 10213.285546211],\n    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3376.1751611684],\n    [0.00000000067, 5.22683619088, 24606.13555322],\n    [0.0000000007, 0.96227192685, 8428.8322315525],\n    [0.00000000064, 5.15148312244, 8966.3875031733],\n    [0.00000000062, 6.1827616636, 3966.2826190122],\n    [0.00000000061, 1.47350010728, 1685.0521225016],\n    [0.00000000069, 4.32901678608, 8436.6965380787],\n    [0.00000000064, 2.11869877898, 3305.0496922312],\n    [0.00000000079, 5.29501968122, 8322.5580635962],\n    [0.0000000006, 1.17940250396, 97670.38771289718],\n    [0.0000000006, 5.15547946009, 4665.5537672398],\n    [0.00000000061, 4.0400802103, 2942.4806769438],\n    [0.00000000061, 0.44282820959, 4686.95671800959],\n    [0.00000000079, 2.10625649179, 7917.3005137226],\n    [0.00000000075, 4.81216780547, 27299.2442119332],\n    [0.00000000058, 1.6974716894, 12082.6551341712],\n    [0.00000000075, 1.8561801142, 52566.19261584059],\n    [0.00000000057, 5.11652903646, 1898.3339642874],\n    [0.00000000075, 5.1583065968, 45884.967762441],\n    [0.0000000006, 2.68566185208, 6283.0585963392],\n    [0.00000000056, 3.77198339507, 299.1263942692],\n    [0.00000000072, 0.0552515851, 6286.5989683404],\n    [0.00000000075, 5.79419108898, 1059.364676537],\n    [0.00000000056, 0.47178586543, 1727.6610936682],\n    [0.00000000061, 2.00931045169, 2942.4461696394],\n    [0.0000000006, 2.60462801513, 30376.3526391666],\n    [0.00000000057, 4.18603648623, 4531.5363185754],\n    [0.00000000059, 1.95998946118, 7593.7950970652],\n    [0.00000000059, 0.11151543852, 5960.0856221934],\n    [0.00000000068, 3.50707258885, 7064.1041319706],\n    [0.00000000056, 2.43554289279, 11567.1912630782],\n    [0.0000000006, 0.23404709116, 2619.4731954936],\n    [0.00000000066, 2.94716590333, 8446.9914788172],\n    [0.00000000059, 5.49704665474, 7322.1024607818],\n    [0.00000000064, 3.9599211222, 3050.1269472302],\n    [0.00000000055, 2.19506741266, 7.046236698],\n    [0.00000000058, 0.32431074295, 19645.5255567906],\n    [0.00000000075, 4.12415692769, 21150.8133658836],\n    [0.00000000075, 3.99896297048, 5483.254724826],\n    [0.00000000057, 0.21772333641, 17402.3332817266],\n    [0.00000000069, 3.2020955552, 16066.0658614748],\n    [0.00000000056, 2.00267092675, 17660.303464057],\n    [0.0000000006, 4.71643347424, 6283.0931036436],\n    [0.00000000054, 0.38782719267, 360.1107819616],\n    [0.00000000073, 3.41087754271, 14556.8967170238],\n    [0.00000000068, 5.74655335863, 987.746272928],\n];\n\nconst VSOP87_R1: Vsop87Element = [\n    [0.01107433345, 2.03250524857, 3340.6124266998],\n    [0.00103175887, 2.37071847807, 6681.2248533996],\n    [0.000128772],\n    [0.0001081588, 2.70888095665, 10021.8372800994],\n    [0.0000119455, 3.04702256206, 13362.4497067992],\n    [0.00000438582, 2.88835054603, 2281.2304965106],\n    [0.000003957, 3.42323670971, 3344.1355450488],\n    [0.00000182576, 1.58427562964, 2544.3144198834],\n    [0.00000135851, 3.38507063082, 16703.062133499],\n    [0.00000128199, 0.62991771813, 1059.3819301892],\n    [0.00000127059, 1.95391155885, 796.2980068164],\n    [0.00000118443, 2.99762091382, 2146.1654164752],\n    [0.00000128362, 6.04343227063, 3337.0893083508],\n    [0.00000087534, 3.42053385867, 398.1490034082],\n    [0.00000083021, 3.85575072018, 3738.761430108],\n    [0.00000075604, 4.45097659377, 6151.533888305],\n    [0.00000072002, 2.76443992447, 529.6909650946],\n    [0.00000066545, 2.5487838147, 1751.539531416],\n    [0.00000054305, 0.67754203387, 8962.4553499102],\n    [0.00000051043, 3.72584855417, 6684.7479717486],\n    [0.00000066413, 4.40596377334, 1748.016413067],\n    [0.0000004786, 2.28524521788, 2914.0142358238],\n    [0.0000004942, 5.72961379219, 3340.5951730476],\n    [0.0000004942, 1.47720011103, 3340.629680352],\n    [0.00000057519, 0.5435613312, 1194.4470102246],\n    [0.0000004832, 2.58061402348, 3149.1641605882],\n    [0.00000036383, 6.02729341698, 3185.1920272656],\n    [0.00000037161, 5.81436290851, 1349.8674096588],\n    [0.00000036035, 5.89515829011, 3333.498879699],\n    [0.00000031111, 0.97820401887, 191.4482661116],\n    [0.00000038957, 2.31902442004, 4136.9104335162],\n    [0.00000027256, 5.41369838171, 1592.5960136328],\n    [0.00000024302, 3.75838444077, 155.4203994342],\n    [0.00000022808, 1.74818178182, 5088.6288397668],\n    [0.00000022322, 0.93941901193, 951.7184062506],\n    [0.00000021712, 3.83569490817, 6283.0758499914],\n    [0.00000021302, 0.78030571909, 1589.0728952838],\n    [0.00000021631, 4.56903942095, 3532.0606928114],\n    [0.00000017957, 4.21923537063, 3870.3033917944],\n    [0.00000018241, 0.41334220202, 5486.777843175],\n    [0.0000001625, 3.80772429678, 3340.545116397],\n    [0.00000016803, 5.54855432911, 3097.88382272579],\n    [0.00000016852, 4.53696884484, 4292.3308329504],\n    [0.00000015749, 4.75766175289, 9492.1463150048],\n    [0.00000015747, 3.72356261757, 20043.6745601988],\n    [0.00000020429, 3.13541604634, 4690.4798363586],\n    [0.00000014699, 5.95340513928, 3894.1818295422],\n    [0.00000016251, 3.39910570757, 3340.6797370026],\n    [0.00000014256, 3.99914527335, 1990.745017041],\n    [0.00000016529, 0.96740368703, 4399.994356889],\n    [0.00000013011, 5.14215010082, 6677.7017350506],\n    [0.00000012482, 1.03238555854, 3341.592747768],\n    [0.00000016454, 3.53827765951, 2700.7151403858],\n    [0.00000016167, 2.3489111087, 553.5694028424],\n    [0.00000013169, 0.41462220221, 5614.7293762096],\n    [0.0000001127, 1.02387117266, 12303.06777661],\n    [0.0000001241, 6.23139144626, 5628.9564702112],\n    [0.00000012747, 0.69046237163, 3723.508958923],\n    [0.00000011828, 6.25270937134, 2274.1169495098],\n    [0.00000010382, 1.23229650709, 426.598190876],\n    [0.00000011207, 1.31732435116, 3496.032826134],\n    [0.00000010345, 0.90062869301, 4535.0594369244],\n    [0.00000012214, 4.22347837212, 7079.3738568078],\n    [0.00000009764, 3.45310129694, 382.8965322232],\n    [0.00000008583, 1.1647889051, 2787.0430238574],\n    [0.00000007879, 5.73808303461, 2288.3440435114],\n    [0.00000009192, 1.81719352796, 6681.2421070518],\n    [0.00000007752, 4.15038634174, 6041.3275670856],\n    [0.00000009192, 6.06960723129, 6681.2075997474],\n    [0.00000009008, 2.58179552398, 2388.8940204492],\n    [0.0000000677, 0.240118807, 11773.3768115154],\n    [0.00000007088, 3.51428380287, 8031.0922630584],\n    [0.00000009159, 3.90203365989, 3553.9115221378],\n    [0.00000007233, 3.70260535699, 2818.035008606],\n    [0.00000006701, 4.25537421062, 242.728603974],\n    [0.00000006534, 0.04317593308, 2957.7158944766],\n    [0.00000008783, 2.19764346848, 1221.8485663214],\n    [0.0000000654, 2.11811131682, 8429.2412664666],\n    [0.00000006835, 4.04527289029, 10025.3603984484],\n    [0.00000007279, 4.26969778292, 2803.8079146044],\n    [0.00000007679, 1.00816125095, 8432.7643848156],\n    [0.00000005736, 3.13988802339, 213.299095438],\n    [0.00000005343, 3.7818416468, 5092.1519581158],\n    [0.00000005985, 2.96429619989, 6489.776587288],\n    [0.00000005132, 3.98288020531, 7.1135470008],\n    [0.00000006264, 1.90345600186, 5621.8429232104],\n    [0.00000005238, 2.67050910776, 7477.522860216],\n    [0.00000006264, 1.60046198142, 3347.7259737006],\n    [0.00000006527, 2.76220386403, 3339.6321056316],\n    [0.00000004594, 1.82031785094, 2810.9214616052],\n    [0.0000000546, 4.60869963415, 3583.3410306738],\n    [0.0000000473, 0.90611934427, 5099.2655051166],\n    [0.00000005484, 4.91405753832, 7632.9432596502],\n    [0.00000004002, 4.1410000521, 9623.6882766912],\n    [0.00000003836, 0.03411499404, 7234.794256242],\n    [0.00000003618, 5.76553319747, 4933.2084403326],\n    [0.00000003747, 0.08776717073, 6525.8044539654],\n    [0.00000003016, 3.73804058695, 6681.2921637024],\n    [0.00000003975, 4.91286826343, 2942.4634232916],\n    [0.00000003911, 0.67457174687, 3127.3133312618],\n    [0.00000003923, 3.07698893109, 3.523118349],\n    [0.00000003943, 0.53936955267, 5884.9268465832],\n    [0.00000002902, 4.66228680082, 7210.9158184942],\n    [0.00000002803, 1.00505054832, 7064.1213856228],\n    [0.00000003152, 4.54611126545, 2487.4160449478],\n    [0.00000002797, 0.05226680768, 639.897286314],\n    [0.00000002758, 5.17057629399, 5828.0284716476],\n    [0.0000000302, 4.14658810846, 6681.1575430968],\n    [0.00000003, 0.82762095066, 5085.038411115],\n    [0.00000003022, 2.59437829291, 2906.900688823],\n    [0.00000002673, 0.69433657973, 2699.7348193176],\n    [0.00000002593, 1.08691889359, 4929.6853219836],\n    [0.00000003127, 0.99947199034, 2118.7638603784],\n    [0.00000002597, 5.01157388627, 10018.3141617504],\n    [0.00000002606, 5.34395258978, 10973.55568635],\n    [0.00000002779, 3.98360727591, 6467.9257579616],\n    [0.00000002457, 1.52659064342, 6836.6452528338],\n    [0.00000002381, 3.93615187831, 11371.7046897582],\n    [0.00000002584, 5.08907827632, 12832.7587417046],\n    [0.00000002204, 0.18721790349, 9595.2390892234],\n    [0.00000002127, 5.69525267283, 3191.0492295652],\n    [0.00000002065, 3.54230184958, 1066.49547719],\n    [0.00000001862, 5.01664572032, 3475.6775067352],\n    [0.00000002077, 1.30210079493, 7740.6067835888],\n    [0.00000001834, 5.68364410455, 3319.8370312074],\n    [0.00000002026, 6.16037765302, 1744.4259844152],\n    [0.00000001705, 2.21753874961, 2921.1277828246],\n    [0.00000001836, 6.16475140098, 8425.6508378148],\n    [0.0000000206, 6.24256627641, 6674.1113063988],\n    [0.00000001735, 4.5825241318, 10419.9862835076],\n    [0.00000001853, 1.36791191191, 15643.6802033098],\n    [0.00000001683, 1.92963115929, 3767.2106175758],\n    [0.00000001955, 0.46151752408, 10575.4066829418],\n    [0.000000018, 2.30912443204, 3355.8648978848],\n    [0.00000001761, 5.87259776407, 3320.257107301],\n    [0.0000000144, 2.15100457092, 10021.8545337516],\n    [0.00000001845, 4.06143234617, 23384.2869868986],\n    [0.00000001419, 4.64964683208, 4562.4609930212],\n    [0.0000000141, 1.50439659549, 3325.3599555148],\n    [0.00000001435, 0.12022404881, 10021.8200264472],\n    [0.00000001446, 0.55888114207, 15113.9892382152],\n    [0.00000001334, 1.25480751834, 7875.6718636242],\n    [0.00000001442, 1.38958372017, 6682.2051744678],\n    [0.00000001601, 4.34240972038, 5331.3574437408],\n    [0.00000001377, 0.14567625356, 1758.6530784168],\n    [0.00000001283, 5.7838849892, 14584.2982731206],\n    [0.00000001281, 1.3515871533, 10404.7338123226],\n    [0.00000001255, 6.02547192213, 3264.3463554242],\n    [0.00000001471, 0.34647878204, 8969.568896911],\n    [0.00000001237, 1.88316546445, 10177.2576795336],\n    [0.00000001554, 5.93165013851, 8439.8779318164],\n    [0.00000001185, 4.18096920842, 3360.96774609859],\n    [0.00000001192, 0.89923984424, 13916.0191096416],\n    [0.00000001331, 1.86674667785, 692.1576012268],\n    [0.0000000119, 4.29364281529, 6894.5239488376],\n    [0.00000001303, 1.4466627109, 6254.6266625236],\n    [0.00000001141, 0.15138021311, 3134.4268782626],\n    [0.00000001498, 1.54298726882, 3361.3878221922],\n    [0.00000001061, 0.67393132017, 3344.2028553516],\n    [0.0000000121, 0.85308958022, 3120.199784261],\n    [0.00000001003, 1.28017736997, 4569.574540022],\n    [0.00000001056, 0.13188094879, 522.5774180938],\n    [0.00000001011, 5.77318421567, 14314.1681130498],\n    [0.00000001172, 2.99768268266, 6247.5131155228],\n    [0.00000001071, 0.24747292047, 3337.021998048],\n    [0.00000001088, 2.57510503125, 6261.7402095244],\n    [0.00000001033, 5.698390168, 536.8045120954],\n    [0.0000000087, 1.50282095865, 6127.6554505572],\n    [0.00000000952, 2.92551885687, 5729.506447149],\n    [0.00000001113, 2.84407720846, 640.8776073822],\n    [0.00000000861, 3.21490378166, 3914.9572250346],\n    [0.00000000873, 5.26929669197, 10213.285546211],\n    [0.00000001068, 0.49291392496, 11243.6858464208],\n    [0.00000000802, 3.33123564567, 9830.3890139878],\n    [0.000000008, 4.6416368116, 6144.4203413042],\n    [0.00000001047, 4.05904372261, 6158.6474353058],\n    [0.00000000739, 4.9337401431, 3230.4061054804],\n    [0.00000000736, 3.01566811571, 10818.1352869158],\n    [0.00000000716, 2.52258068421, 5202.3582793352],\n    [0.00000000708, 4.39529316737, 9808.5381846614],\n    [0.00000000789, 1.72502040817, 3178.1457905676],\n    [0.00000000721, 6.2393728211, 3369.0616141676],\n    [0.00000000711, 1.96395412586, 6688.3384004004],\n    [0.0000000072, 0.38908319399, 6298.3283211764],\n    [0.00000000879, 2.11099461733, 2301.58581590939],\n    [0.00000000911, 2.30898309496, 13517.8701062334],\n    [0.0000000092, 4.36440466625, 13365.9728251482],\n    [0.0000000066, 3.41324530637, 1648.4467571974],\n    [0.00000000822, 2.14217300701, 7903.073419721],\n    [0.00000000655, 5.97028443361, 574.3447983348],\n    [0.00000000709, 2.24666710788, 9225.539273283],\n    [0.00000000684, 4.02188175404, 1052.2683831884],\n    [0.00000000789, 3.58669777772, 2693.601593385],\n    [0.0000000059, 0.67864102888, 8955.3418029094],\n    [0.00000000604, 2.73534347693, 16858.4825329332],\n    [0.00000000574, 4.1112919353, 6034.2140200848],\n    [0.00000000626, 4.45275856522, 12964.300703391],\n    [0.00000000563, 3.72669761947, 13119.72110282519],\n    [0.00000000547, 3.035597949, 2707.8286873866],\n    [0.00000000682, 3.625366383, 6048.4411140864],\n    [0.00000000534, 4.65553794211, 135.0650800354],\n    [0.00000000537, 3.32526208431, 9779.1086761254],\n    [0.00000000621, 0.31692147043, 7910.1869667218],\n    [0.00000000508, 1.2378289696, 4555.3474460204],\n    [0.00000000636, 1.31861189187, 2648.454825473],\n    [0.00000000674, 2.88169508451, 3316.733988952],\n    [0.00000000566, 4.94059125257, 6923.9534573736],\n    [0.00000000492, 0.48544563054, 12935.8515159232],\n    [0.00000000494, 1.58242260326, 162.4666361322],\n    [0.00000000494, 4.0590821271, 10021.9045904022],\n    [0.00000000476, 4.50803141082, 2384.3232707292],\n    [0.00000000463, 1.30989375876, 17256.6315363414],\n    [0.00000000436, 5.18941467679, 13358.9265884502],\n    [0.0000000051, 5.29711079669, 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2938.9403049426],\n    [0.00000000058, 4.41305155897, 1478.8665740644],\n    [0.00000000045, 5.07966377852, 3318.7615973734],\n    [0.00000000058, 5.5812143318, 6643.0918177618],\n    [0.00000000047, 1.08172284939, 3448.2759506384],\n    [0.00000000048, 5.02446939402, 6645.1969867222],\n    [0.00000000044, 4.02177323039, 9389.0535407862],\n    [0.00000000042, 0.75715065967, 6357.7194367422],\n    [0.00000000042, 0.28202781151, 10001.48196070061],\n    [0.00000000042, 5.05676915852, 3397.5108016354],\n    [0.00000000043, 4.94357970653, 18052.9295431578],\n    [0.0000000005, 4.04580413243, 5835.1420186484],\n    [0.00000000046, 0.42891568037, 14128.2427712456],\n    [0.00000000043, 4.15051754642, 8535.8571590342],\n    [0.00000000053, 6.08293348275, 3377.217792004],\n    [0.00000000041, 1.24482327948, 3212.5935833624],\n    [0.00000000041, 5.60183242162, 685.044054226],\n    [0.00000000055, 2.49939849707, 8186.5126624926],\n    [0.00000000041, 5.04767355904, 6571.0185321802],\n    [0.00000000042, 3.00593850304, 10037.0897512844],\n    [0.00000000042, 2.0890755071, 13363.4300278674],\n    [0.00000000041, 0.56957277734, 20995.3929664494],\n    [0.00000000045, 1.33351374757, 632.7837393132],\n    [0.00000000046, 0.81640935106, 45884.967762441],\n    [0.0000000004, 5.83979846235, 846.0828347512],\n    [0.00000000041, 0.05913112284, 21150.8133658836],\n    [0.00000000044, 2.89985709529, 6872.6731195112],\n    [0.00000000046, 4.79599204822, 1835.3246176068],\n    [0.00000000045, 1.98433687681, 1861.7458526354],\n    [0.0000000004, 4.76232751326, 4392.8808098882],\n    [0.00000000044, 4.30367510983, 21000.9158907568],\n    [0.0000000004, 6.09284885194, 7483.5887758458],\n    [0.0000000004, 2.33956668789, 12729.665967486],\n    [0.00000000046, 2.86512929328, 38650.173506199],\n    [0.00000000038, 3.65846461938, 29698.2875113358],\n    [0.00000000038, 2.26400097984, 38407.44490222499],\n    [0.00000000038, 4.62487442464, 13532.0298899322],\n    [0.00000000045, 0.05726736439, 8226.5788363784],\n    [0.00000000043, 5.28854105201, 3274.1250177854],\n    [0.00000000037, 4.75280838392, 30065.5118402982],\n    [0.00000000047, 6.25707790441, 24606.13555322],\n    [0.00000000037, 5.02115296017, 11128.9760857842],\n    [0.00000000039, 1.71554278762, 7696.8878712838],\n    [0.00000000037, 4.3465298512, 3283.7140517642],\n    [0.00000000037, 3.91795548862, 9945.5712088238],\n    [0.00000000038, 1.54872687701, 6740.5987153132],\n    [0.00000000036, 6.1167195256, 9947.0556815321],\n    [0.00000000036, 4.61440005357, 6901.6374958384],\n    [0.00000000038, 0.44080908793, 24491.4257925834],\n    [0.00000000036, 1.73681874925, 3468.6312700372],\n    [0.00000000041, 5.6929490057, 26087.9031415742],\n    [0.00000000046, 4.24370266362, 3074.005384978],\n    [0.00000000038, 0.72727556007, 26084.0218062162],\n    [0.00000000035, 0.09307361585, 8742.0427074714],\n    [0.00000000035, 1.35173564664, 7218.029365495],\n    [0.00000000038, 5.04852696556, 16066.0658614748],\n    [0.00000000039, 4.09330106885, 28783.75662553379],\n    [0.00000000035, 2.18607267347, 8859.3625756916],\n    [0.00000000034, 3.37294996504, 48429.2821823244],\n    [0.00000000037, 3.20773047278, 41748.0573289248],\n    [0.00000000036, 1.1444953641, 15650.7937503106],\n    [0.00000000043, 2.47145616667, 10020.8569590312],\n    [0.0000000004, 6.03176945066, 17810.2009391838],\n    [0.00000000034, 0.51621135764, 1107.1388056848],\n    [0.00000000038, 5.52686444444, 3742.284548457],\n    [0.00000000035, 4.07971812965, 8646.0634802536],\n    [0.00000000037, 0.76802632064, 35464.9814789334],\n    [0.00000000034, 0.48466144733, 38805.59390563319],\n    [0.00000000044, 4.85886492681, 6604.958782124],\n    [0.00000000033, 0.15905665569, 10787.6303445458],\n    [0.00000000033, 6.26077209051, 4106.4054911462],\n    [0.00000000032, 4.72374245003, 8827.3902698748],\n    [0.00000000034, 1.67384584037, 40398.189919266],\n    [0.00000000038, 3.42695313525, 37703.9780242558],\n    [0.00000000037, 5.01873798104, 13575.7488022372],\n    [0.00000000043, 4.79904796675, 5195.2447323344],\n    [0.00000000038, 2.54832320063, 10184.3039162316],\n    [0.00000000032, 0.2646534173, 3029.7716278314],\n    [0.00000000032, 6.21574097484, 15110.4661198662],\n    [0.00000000031, 3.63433062848, 45088.6697556246],\n    [0.00000000042, 0.55440675602, 32920.66705904999],\n    [0.00000000035, 3.96268115235, 3185.2593375684],\n    [0.00000000033, 5.88039450059, 19403.7772738848],\n    [0.00000000041, 4.27695289187, 7747.7203305896],\n    [0.00000000033, 5.41476981924, 20735.83216142559],\n    [0.00000000041, 4.1396402151, 12516.366872048],\n    [0.00000000036, 6.22368196486, 4356.275444584],\n    [0.00000000031, 1.81900571208, 24093.2767891752],\n    [0.00000000041, 2.61892942249, 24076.4445881254],\n    [0.0000000003, 1.2575033157, 34363.365597556],\n    [0.00000000035, 4.30790850908, 4447.7512323846],\n    [0.00000000034, 2.15402582261, 12502.1397780464],\n    [0.0000000003, 1.74402934752, 10177.1903692308],\n    [0.00000000034, 4.98491983613, 20199.02764933019],\n    [0.00000000029, 0.38968519354, 35707.7100829074],\n    [0.00000000035, 1.98847450868, 14556.8967170238],\n    [0.00000000032, 0.36447448811, 5466.4225237762],\n    [0.00000000029, 2.84335822989, 3651.4532255682],\n    [0.00000000029, 1.70561861073, 42146.20633233299],\n    [0.00000000029, 6.27427740112, 31022.7531708562],\n    [0.00000000029, 4.85775467825, 36.0278666774],\n    [0.00000000029, 0.65663514164, 3344.11829139661],\n    [0.00000000039, 2.60584004585, 6679.7403806913],\n    [0.00000000031, 4.96068967529, 15423.267560871],\n    [0.00000000032, 4.3074704156, 30376.3526391666],\n    [0.00000000031, 4.97488131714, 48031.1331789162],\n    [0.00000000036, 5.21102353378, 860.3099287528],\n    [0.00000000029, 2.6874071272, 3344.152798701],\n    [0.00000000029, 4.89226176414, 14469.588512484],\n    [0.00000000035, 0.63682098833, 23553.8671700316],\n    [0.00000000028, 3.93317215375, 2655.5683724738],\n    [0.00000000028, 4.95417710116, 792.7748884674],\n    [0.00000000031, 1.20412048035, 16328.72425753579],\n    [0.00000000033, 2.23175098152, 44768.0994098786],\n    [0.00000000033, 5.53387746412, 38086.874556479],\n    [0.00000000028, 5.3944831815, 1250.8301963008],\n    [0.00000000034, 0.46215642912, 2751.5475996916],\n    [0.00000000031, 6.25053987025, 17388.10618772499],\n    [0.00000000028, 1.84806130514, 2075.0449480734],\n    [0.00000000029, 4.7534479961, 28230.18722269139],\n    [0.00000000028, 4.36162258057, 39203.74290904139],\n    [0.00000000032, 5.19762814944, 1214.8023296234],\n    [0.00000000027, 1.83675735374, 45494.58142974879],\n    [0.00000000028, 4.99070749177, 6593.9166488598],\n    [0.00000000027, 3.31433250805, 12942.965062924],\n    [0.00000000029, 4.94569969969, 87.30820453981],\n    [0.00000000027, 1.32843166459, 7203.8022714934],\n];\n\nconst VSOP87_R2: Vsop87Element = [\n    [0.00044242249, 0.47930604954, 3340.6124266998],\n    [0.00008138042, 0.86998389204, 6681.2248533996],\n    [0.00001274915, 1.22593985222, 10021.8372800994],\n    [0.00000187388, 1.57298976045, 13362.4497067992],\n    [0.00000040745, 1.97082077028, 3344.1355450488],\n    [0.00000052395, Math.PI],\n    [0.00000026617, 1.91665337822, 16703.062133499],\n    [0.00000017828, 4.43491476419, 2281.2304965106],\n    [0.00000011713, 4.52509926559, 3185.1920272656],\n    [0.0000001021, 5.3914732206, 1059.3819301892],\n    [0.0000000995, 0.41865678448, 796.2980068164],\n    [0.00000009236, 4.53559625376, 2146.1654164752],\n    [0.00000007299, 3.1421451312, 2544.3144198834],\n    [0.00000007214, 2.29302335628, 6684.7479717486],\n    [0.0000000681, 5.26707245601, 155.4203994342],\n    [0.00000006526, 2.307724561, 3738.761430108],\n    [0.00000007783, 5.93373461009, 1748.016413067],\n    [0.0000000584, 1.0519182029, 1349.8674096588],\n    [0.0000000675, 5.30191763402, 1194.4470102246],\n    [0.00000004695, 0.76881032874, 3097.88382272579],\n    [0.0000000539, 1.0020006836, 3149.1641605882],\n    [0.00000004406, 2.45557331437, 951.7184062506],\n    [0.00000004286, 3.89642578846, 1592.5960136328],\n    [0.00000003516, 1.84991934524, 398.1490034082],\n    [0.00000003699, 2.26016989021, 20043.6745601988],\n    [0.00000003378, 3.81703201748, 1751.539531416],\n    [0.00000004585, 0.80785643853, 4136.9104335162],\n    [0.00000003201, 2.11661594157, 5614.7293762096],\n    [0.0000000362, 1.32428600053, 3333.498879699],\n    [0.00000002915, 1.19342490174, 529.6909650946],\n    [0.00000002979, 2.86468474914, 6151.533888305],\n    [0.00000003057, 4.55288594507, 5628.9564702112],\n    [0.00000002906, 1.20300479533, 3894.1818295422],\n    [0.00000003848, 3.86071515455, 553.5694028424],\n    [0.00000002819, 2.48714583532, 1990.745017041],\n    [0.00000002657, 6.07409846258, 4292.3308329504],\n    [0.00000002698, 2.92100135189, 3496.032826134],\n    [0.00000002396, 5.94193484091, 2787.0430238574],\n    [0.00000002263, 2.56188049651, 191.4482661116],\n    [0.00000002169, 5.36834559071, 8962.4553499102],\n    [0.00000002149, 2.74919289456, 242.728603974],\n    [0.00000002218, 1.85260509629, 3337.0893083508],\n    [0.00000001998, 5.76396921426, 3341.592747768],\n    [0.00000001999, 3.82347205028, 2914.0142358238],\n    [0.00000001835, 5.68648448195, 1589.0728952838],\n    [0.0000000181, 3.32122811143, 5088.6288397668],\n    [0.00000001968, 4.17404480033, 3340.5951730476],\n    [0.00000002411, 4.68376177281, 4690.4798363586],\n    [0.00000001967, 6.2057036343, 3340.629680352],\n    [0.00000001626, 5.67648778513, 4535.0594369244],\n    [0.00000002161, 1.07446445419, 2388.8940204492],\n    [0.00000001965, 3.10811453974, 3583.3410306738],\n    [0.00000001985, 5.75867975763, 4399.994356889],\n    [0.00000001504, 4.95929390466, 382.8965322232],\n    [0.00000001276, 4.82147500391, 2957.7158944766],\n    [0.00000001475, 2.22614544794, 3723.508958923],\n    [0.00000001196, 3.26743061042, 9492.1463150048],\n    [0.00000001349, 4.87558985925, 6525.8044539654],\n    [0.00000001436, 2.6975402327, 7079.3738568078],\n    [0.00000001223, 2.61880227353, 10025.3603984484],\n    [0.00000001402, 5.19177439326, 2700.7151403858],\n    [0.00000001202, 0.93436294282, 2810.9214616052],\n    [0.0000000087, 5.81258009514, 12303.06777661],\n    [0.00000000867, 2.20048756217, 2699.7348193176],\n    [0.00000000831, 2.01782919511, 5092.1519581158],\n    [0.00000000856, 5.96129932558, 426.598190876],\n    [0.00000000847, 2.26415579047, 6283.0758499914],\n    [0.00000000917, 1.4025908126, 6489.776587288],\n    [0.00000000833, 1.17376008822, 7477.522860216],\n    [0.00000001041, 6.27097603149, 3347.7259737006],\n    [0.00000000965, 3.40293030184, 5621.8429232104],\n    [0.00000000723, 4.26276570887, 4933.2084403326],\n    [0.0000000077, 2.06490049164, 5486.777843175],\n    [0.00000000706, 2.34080074294, 7.1135470008],\n    [0.00000000954, 2.11093711712, 3870.3033917944],\n    [0.00000000844, 2.2379157639, 3553.9115221378],\n    [0.00000000647, 2.24565892529, 3340.545116397],\n    [0.00000000653, 3.98464883505, 6677.7017350506],\n    [0.00000000717, 0.29523050971, 6681.2421070518],\n    [0.00000000828, 0.22887694811, 3532.0606928114],\n    [0.00000000612, 1.56040446304, 7234.794256242],\n    [0.00000000717, 4.54583138124, 6681.2075997474],\n    [0.00000000585, 3.29614213819, 1221.8485663214],\n    [0.00000000646, 1.8361516834, 3340.6797370026],\n    [0.0000000056, 5.05995427063, 8031.0922630584],\n    [0.00000000651, 0.16211451692, 7632.9432596502],\n    [0.00000000488, 3.0783351604, 6836.6452528338],\n    [0.00000000534, 4.25727954634, 3339.6321056316],\n    [0.00000000507, 2.59915154873, 23384.2869868986],\n    [0.00000000376, 6.27013206389, 2487.4160449478],\n    [0.00000000342, 4.71066540976, 639.897286314],\n    [0.00000000449, 1.34119375784, 640.8776073822],\n    [0.00000000332, 2.66137676648, 9623.6882766912],\n    [0.00000000341, 5.96083550282, 4929.6853219836],\n    [0.00000000347, 6.09473597335, 7740.6067835888],\n    [0.00000000324, 6.05446352414, 2118.7638603784],\n    [0.00000000406, 4.95790035333, 8969.568896911],\n    [0.0000000031, 0.0205132596, 6127.6554505572],\n    [0.00000000402, 2.84641476266, 5331.3574437408],\n    [0.00000000319, 1.44556053767, 5729.506447149],\n    [0.00000000298, 5.73923165875, 6041.3275670856],\n    [0.00000000294, 3.06922916435, 10419.9862835076],\n    [0.00000000282, 6.04219786503, 7875.6718636242],\n    [0.00000000276, 5.11697230915, 11773.3768115154],\n    [0.00000000261, 2.89861311314, 7210.9158184942],\n    [0.00000000257, 1.08764384198, 2288.3440435114],\n    [0.00000000273, 3.83429606896, 8429.2412664666],\n    [0.00000000288, 6.1358786916, 6682.2051744678],\n    [0.00000000302, 3.61511244935, 12832.7587417046],\n    [0.00000000235, 2.2141930833, 6681.2921637024],\n    [0.00000000317, 3.60614958531, 2301.58581590939],\n    [0.00000000288, 5.08466449059, 2274.1169495098],\n    [0.00000000254, 0.3659486969, 3767.2106175758],\n    [0.00000000235, 2.6246389476, 6681.1575430968],\n    [0.00000000223, 3.46012483249, 6923.9534573736],\n    [0.00000000207, 3.44496733465, 10177.2576795336],\n    [0.00000000215, 0.57778871417, 10973.55568635],\n    [0.00000000203, 3.89606611321, 10018.3141617504],\n    [0.00000000191, 2.41041363946, 8955.3418029094],\n    [0.00000000191, 1.58000924939, 10818.1352869158],\n    [0.00000000194, 2.45866911623, 7064.1213856228],\n    [0.00000000183, 1.67726083027, 213.299095438],\n    [0.00000000191, 0.58807580019, 5828.0284716476],\n    [0.00000000238, 1.99795553508, 10575.4066829418],\n    [0.00000000246, 2.17522479887, 4562.4609930212],\n    [0.00000000177, 0.66443060538, 10021.8545337516],\n    [0.00000000176, 4.9164692303, 10021.8200264472],\n    [0.00000000217, 2.93960990684, 13365.9728251482],\n    [0.00000000213, 0.15664432335, 2942.4634232916],\n    [0.00000000166, 4.75384735897, 3914.9572250346],\n    [0.00000000155, 1.78567177351, 9830.3890139878],\n    [0.00000000164, 5.17682847411, 6298.3283211764],\n    [0.00000000176, 5.21146444811, 9866.4168806652],\n    [0.00000000157, 2.69801327811, 6894.5239488376],\n    [0.00000000148, 6.26338410775, 1039.0266107904],\n    [0.00000000148, 0.36640929573, 6688.3384004004],\n    [0.0000000015, 1.22257750814, 574.3447983348],\n    [0.00000000138, 2.09458777391, 1066.49547719],\n    [0.00000000165, 6.15932460183, 15643.6802033098],\n    [0.00000000161, 4.66659171956, 8273.8208670324],\n    [0.00000000126, 0.68196579031, 6438.4962494256],\n    [0.00000000127, 1.69257165301, 3981.490034082],\n    [0.00000000118, 2.78189840631, 3360.96774609859],\n    [0.0000000013, 0.84499223832, 3355.8648978848],\n    [0.0000000012, 0.30079432657, 3127.3133312618],\n    [0.00000000123, 1.6352982479, 6674.1113063988],\n    [0.00000000129, 2.26711428102, 6467.9257579616],\n    [0.00000000104, 0.07355376701, 3325.3599555148],\n    [0.0000000013, 4.4177719083, 3320.257107301],\n    [0.00000000095, 1.32397695499, 7903.073419721],\n    [0.00000000113, 0.65843018903, 3178.1457905676],\n    [0.00000000092, 4.98212090453, 9779.1086761254],\n    [0.000000001, 4.11210877353, 536.8045120954],\n    [0.00000000096, 3.52474152096, 3475.6775067352],\n    [0.00000000106, 5.41425307049, 15113.9892382152],\n    [0.000000001, 2.91165340473, 692.1576012268],\n    [0.00000000107, 3.76142120324, 13517.8701062334],\n    [0.00000000094, 3.21490077835, 8671.9698704406],\n    [0.00000000086, 5.24456061569, 13119.72110282519],\n    [0.00000000089, 5.73824161119, 11371.7046897582],\n    [0.00000000106, 5.90729095013, 8432.7643848156],\n    [0.00000000098, 3.61325552038, 853.196381752],\n    [0.0000000008, 2.97911637785, 26724.8994135984],\n    [0.00000000078, 0.95802015551, 3191.0492295652],\n    [0.0000000008, 5.90881737672, 6040.3472460174],\n    [0.00000000087, 2.51076876054, 1052.2683831884],\n    [0.00000000091, 3.00950021946, 12964.300703391],\n    [0.00000000075, 1.32761316297, 17924.9106998204],\n    [0.00000000073, 5.00315639405, 1903.4368125012],\n    [0.00000000073, 4.09954161905, 3319.8370312074],\n    [0.00000000074, 2.58079983162, 10021.9045904022],\n    [0.0000000007, 5.37592930185, 12310.1813236108],\n    [0.00000000072, 2.54228814803, 5884.9268465832],\n    [0.00000000069, 3.48131994134, 13760.5987102074],\n    [0.00000000068, 3.24176355205, 16706.585251848],\n    [0.00000000067, 4.69007678444, 522.5774180938],\n    [0.0000000007, 1.00588846894, 13362.4669604514],\n    [0.0000000007, 2.38386517904, 13916.0191096416],\n    [0.00000000069, 5.27194307948, 3980.5097130138],\n    [0.00000000074, 3.946509825, 16173.3711684044],\n    [0.00000000077, 0.12291238953, 11216.284290324],\n    [0.00000000062, 0.15391383953, 11081.2192102886],\n    [0.00000000065, 3.97651716363, 13358.9265884502],\n    [0.00000000074, 2.99585183104, 10021.7699697966],\n    [0.0000000008, 6.17370752997, 9380.9596727172],\n    [0.00000000061, 2.56972324319, 149.5631971346],\n    [0.00000000059, 3.80951935336, 10264.5658840734],\n    [0.0000000006, 4.79893452692, 1437.1756141986],\n    [0.00000000064, 0.24188540623, 18984.2926300096],\n    [0.00000000059, 6.09929610915, 5459.3762870782],\n    [0.0000000006, 2.26503107747, 28628.3362260996],\n    [0.00000000067, 2.07568987702, 1596.1864422846],\n    [0.00000000058, 5.26082962947, 13362.432453147],\n    [0.00000000056, 1.88732579172, 9070.1188738488],\n    [0.00000000058, 0.87844749732, 5642.1982426092],\n    [0.00000000056, 1.18238857561, 6696.4773245846],\n    [0.00000000062, 3.98214740104, 3427.9206312396],\n    [0.00000000055, 5.7246233437, 433.7117378768],\n    [0.00000000056, 2.35545469122, 33716.9650658664],\n    [0.00000000055, 3.77399580108, 10213.285546211],\n    [0.00000000055, 1.33171417253, 8982.810669309],\n    [0.00000000056, 5.49808236951, 24093.2767891752],\n    [0.00000000053, 5.34430579198, 5099.2655051166],\n    [0.00000000063, 3.53402427573, 3205.5473466644],\n    [0.00000000066, 6.22551943489, 8270.2977486834],\n    [0.00000000055, 4.74960633412, 6660.8695340008],\n    [0.00000000054, 0.30483383119, 12721.572099417],\n    [0.00000000067, 0.5859281308, 3335.0895023924],\n    [0.00000000054, 2.12825168465, 13171.0014406876],\n    [0.00000000055, 5.03409432626, 7255.5696517344],\n    [0.00000000051, 2.91157155859, 10404.7338123226],\n    [0.00000000068, 2.44228862715, 6158.6474353058],\n    [0.00000000049, 0.23351885884, 4379.6390374902],\n    [0.00000000068, 2.26299130022, 2766.267628365],\n    [0.0000000005, 6.1011945035, 3253.30422216],\n    [0.00000000048, 2.36328912422, 4032.7700279266],\n    [0.0000000006, 0.30397974651, 9225.539273283],\n    [0.00000000049, 5.45150193687, 13207.029307365],\n    [0.00000000048, 0.72695221239, 10028.9508271002],\n    [0.00000000061, 3.40242612458, 10551.528245194],\n    [0.00000000049, 3.40240207389, 3304.5845600224],\n    [0.00000000047, 2.83602015531, 9808.5381846614],\n    [0.00000000047, 0.50228092595, 17395.2197347258],\n    [0.00000000047, 3.03745055781, 6144.4203413042],\n    [0.00000000051, 1.2741258685, 3344.4937620578],\n    [0.0000000005, 1.83471955356, 30376.3526391666],\n    [0.00000000046, 0.75336415193, 16062.1845261168],\n    [0.00000000048, 0.33255135928, 6702.000248892],\n    [0.00000000056, 0.21744516383, 10022.8176011676],\n    [0.00000000046, 5.8313809816, 3364.4908644476],\n    [0.00000000044, 0.79889168525, 7107.8230442756],\n    [0.00000000051, 0.35982632787, 9468.267877257],\n    [0.00000000044, 3.10598653755, 10235.1363755374],\n    [0.00000000049, 0.14978113272, 2648.454825473],\n    [0.00000000058, 4.51787450922, 6660.4494579072],\n    [0.00000000042, 5.40417232308, 3344.2028553516],\n    [0.00000000048, 2.42299327989, 4407.1079038898],\n    [0.00000000057, 3.8435413622, 6816.289933435],\n    [0.00000000047, 1.49030680647, 6247.5131155228],\n    [0.00000000043, 5.14318704546, 7373.3824546264],\n    [0.00000000053, 5.94275298258, 8439.8779318164],\n    [0.00000000042, 0.14486089509, 1505.28780909299],\n    [0.00000000049, 5.57153056447, 17468.8551979454],\n    [0.00000000055, 6.26098836404, 3361.3878221922],\n    [0.00000000046, 3.07675286071, 12722.5524204852],\n    [0.00000000042, 4.74455545491, 3369.0616141676],\n    [0.00000000043, 4.97295184315, 3337.021998048],\n    [0.00000000055, 3.8021563852, 3376.6402933772],\n    [0.00000000049, 4.43316054873, 9595.2390892234],\n    [0.00000000047, 1.97344701193, 1581.959348283],\n    [0.00000000043, 0.38914582059, 6665.9723822146],\n    [0.0000000004, 1.06953099245, 23695.127785767],\n    [0.00000000039, 1.54137978685, 2818.035008606],\n    [0.00000000039, 3.79055778605, 33318.8160624582],\n    [0.00000000037, 5.27208151144, 20752.6643624754],\n    [0.00000000041, 1.82257882538, 14158.7477136156],\n    [0.00000000039, 3.15412760412, 14469.588512484],\n    [0.00000000041, 0.55705920174, 3346.1353510072],\n    [0.0000000004, 5.57723811162, 3863.1898447936],\n    [0.00000000038, 2.7152520939, 8584.6616659008],\n    [0.00000000049, 5.44994428603, 9638.9407478762],\n    [0.00000000036, 4.85483701684, 23141.5583829246],\n    [0.00000000038, 2.11687208088, 15664.03552270859],\n    [0.00000000035, 5.30700692772, 6677.6344247478],\n    [0.00000000047, 2.5684518185, 162.4666361322],\n    [0.00000000034, 0.5254248731, 10713.9948813262],\n    [0.00000000047, 1.37540278055, 3316.733988952],\n    [0.00000000045, 3.09384709364, 6701.5801727984],\n    [0.00000000036, 5.41035019142, 20597.2439630412],\n    [0.00000000035, 0.84359386197, 6518.7582172674],\n    [0.00000000038, 2.22559377525, 3503.079062832],\n    [0.00000000043, 1.70231864194, 12323.4230960088],\n    [0.00000000046, 4.97118367286, 9381.9399937854],\n    [0.00000000043, 0.95148893985, 34115.1140692746],\n    [0.00000000035, 5.73672778427, 6684.8152820514],\n    [0.00000000043, 2.34641544095, 5244.049239201],\n    [0.0000000004, 5.92298266112, 3336.7310913418],\n    [0.00000000032, 2.93166446867, 9499.2598620056],\n    [0.00000000032, 5.16999042304, 5085.038411115],\n    [0.00000000033, 4.25349328071, 36659.428489158],\n    [0.00000000043, 1.50296327105, 27035.7402124668],\n    [0.0000000004, 5.84317493907, 16460.33352952499],\n    [0.00000000032, 4.13881058425, 31570.7996493912],\n    [0.00000000035, 5.50392428699, 8425.6508378148],\n    [0.00000000034, 1.60980125001, 12566.1516999828],\n    [0.00000000034, 3.6849408587, 8827.3902698748],\n    [0.00000000031, 3.75179356135, 4845.9002357928],\n    [0.0000000003, 4.87421522701, 1692.1656695024],\n    [0.00000000037, 1.12999386856, 18052.9295431578],\n    [0.00000000031, 2.73132541218, 12295.9542296092],\n    [0.0000000003, 0.60227284998, 20354.5153590672],\n    [0.0000000003, 3.5647450343, 16304.9131300908],\n    [0.0000000003, 0.00488152861, 11243.6858464208],\n    [0.00000000039, 3.34380105325, 29978.2036357584],\n    [0.00000000028, 3.12073820291, 11925.2740926006],\n    [0.00000000027, 2.53950067771, 19004.6479494084],\n    [0.00000000028, 2.80254457895, 3607.2194684216],\n    [0.00000000032, 4.0441273119, 6680.2445323314],\n    [0.00000000028, 5.05697601811, 17412.0519357756],\n    [0.00000000029, 5.85207825749, 31172.650645983],\n    [0.00000000033, 5.16379108102, 10596.1820784342],\n    [0.00000000027, 1.49309168626, 8186.5126624926],\n    [0.00000000027, 2.25111298175, 76.2660712756],\n    [0.00000000029, 1.82581479324, 3333.5661900018],\n    [0.00000000026, 5.61633953268, 14054.607308026],\n    [0.00000000025, 4.87224086763, 3077.528503327],\n    [0.00000000025, 4.33552142677, 17085.9586657222],\n    [0.00000000027, 0.80699664558, 20735.83216142559],\n    [0.00000000025, 5.15192817935, 11766.2632645146],\n    [0.00000000024, 4.12825907026, 4193.8088084518],\n    [0.00000000024, 4.31275606947, 14584.2982731206],\n    [0.00000000024, 2.19374141743, 3.523118349],\n    [0.00000000024, 4.96463811748, 26087.9031415742],\n    [0.00000000027, 4.99613391588, 3877.4169387952],\n    [0.00000000029, 2.40082338888, 3312.163239232],\n    [0.00000000024, 3.11953483056, 13149.1506113612],\n    [0.0000000003, 5.66813524124, 3281.2385647862],\n    [0.00000000026, 6.15978676797, 419.4846438752],\n    [0.00000000022, 2.11310905377, 20995.3929664494],\n    [0.00000000022, 5.24071820165, 12935.8515159232],\n    [0.00000000021, 1.72081702579, 2803.8079146044],\n    [0.00000000021, 4.18626331979, 187.9251477626],\n    [0.00000000022, 2.34227094593, 7322.1024607818],\n    [0.00000000021, 2.91971393449, 12168.0026965746],\n    [0.00000000023, 0.93103820963, 6261.7402095244],\n    [0.00000000022, 6.06510562418, 15110.4661198662],\n    [0.0000000002, 5.98993383835, 24150.080051345],\n    [0.00000000022, 2.68877932276, 3546.797975137],\n    [0.00000000023, 0.86323712599, 30774.5016425748],\n    [0.0000000002, 0.72774754977, 13553.8979729108],\n    [0.00000000022, 3.09244912137, 13362.3823964964],\n    [0.0000000002, 0.33937394936, 5989.0672521728],\n    [0.00000000025, 4.69237538534, 3347.6586633978],\n    [0.00000000025, 3.51209525616, 15265.8865193004],\n    [0.00000000026, 3.36529647088, 21265.5231265202],\n    [0.00000000021, 3.15458479593, 26637.59120905859],\n    [0.00000000019, 5.0210492549, 3029.7716278314],\n    [0.00000000019, 6.15294842048, 18208.349942592],\n    [0.00000000023, 2.63078161726, 24491.4257925834],\n    [0.00000000025, 2.94366934698, 13362.517017102],\n    [0.0000000002, 0.86927302126, 3399.9862886134],\n    [0.00000000018, 4.37088769243, 3651.4532255682],\n    [0.00000000022, 4.79007467235, 11614.4332937322],\n    [0.00000000019, 5.80539564686, 21795.21409161479],\n    [0.00000000017, 2.62698055094, 6872.6731195112],\n    [0.0000000002, 4.13854946023, 16699.53901514999],\n    [0.00000000018, 2.69537794731, 27682.1407441564],\n    [0.00000000017, 2.35800085725, 7788.3636590844],\n    [0.00000000016, 5.1297925698, 1744.4259844152],\n    [0.00000000019, 4.36117042303, 11780.4903585162],\n    [0.00000000017, 3.98180845854, 18606.4989460002],\n    [0.0000000002, 5.29535152048, 13936.794505134],\n    [0.00000000018, 0.90866227881, 27433.88921587499],\n    [0.00000000018, 1.15898054343, 220.4126424388],\n    [0.00000000021, 1.07415905494, 11769.8536931664],\n    [0.00000000018, 3.6105415674, 9485.032768004],\n    [0.0000000002, 5.54806425258, 14128.2427712456],\n    [0.00000000015, 4.19346479448, 23937.856389741],\n    [0.00000000019, 2.49025671313, 24341.5283174566],\n    [0.00000000015, 6.22588872744, 8799.988713778],\n    [0.00000000014, 2.27829337274, 4447.7512323846],\n    [0.00000000015, 1.86263855445, 2921.1277828246],\n    [0.00000000014, 3.59449757262, 3074.005384978],\n    [0.00000000016, 4.04109191506, 3134.4268782626],\n    [0.00000000018, 1.50064662425, 19406.6782881746],\n    [0.00000000014, 4.63902518517, 11527.1250891924],\n    [0.00000000019, 5.20657856071, 32920.66705904999],\n    [0.00000000018, 5.05191310629, 3603.6963500726],\n];\n\nconst VSOP87_R3: Vsop87Element = [\n    [0.00001113108, 5.14987305093, 3340.6124266998],\n    [0.00000424447, 5.61343952053, 6681.2248533996],\n    [0.00000100044, 5.99727457548, 10021.8372800994],\n    [0.00000019606, 0.07631453783, 13362.4497067992],\n    [0.00000003478, 0.42912010211, 16703.062133499],\n    [0.00000004693, Math.PI],\n    [0.0000000287, 0.44692002393, 3344.1355450488],\n    [0.00000002428, 3.02114808809, 3185.1920272656],\n    [0.00000000687, 0.80560442666, 6684.7479717486],\n    [0.00000000578, 0.77849309402, 20043.6745601988],\n    [0.0000000054, 3.86818792995, 1059.3819301892],\n    [0.00000000468, 4.52509679627, 3496.032826134],\n    [0.00000000487, 1.60861075208, 3583.3410306738],\n    [0.00000000362, 4.42325508671, 2787.0430238574],\n    [0.00000000397, 5.7200847988, 3149.1641605882],\n    [0.00000000299, 0.75708428385, 3738.761430108],\n    [0.00000000352, 5.55622002342, 4136.9104335162],\n    [0.00000000316, 3.37609906858, 6525.8044539654],\n    [0.00000000234, 2.1392329263, 3097.88382272579],\n    [0.00000000214, 4.20457486315, 3341.592747768],\n    [0.00000000214, 0.56472270648, 155.4203994342],\n    [0.00000000201, 2.35183535764, 1592.5960136328],\n    [0.00000000206, 0.96951658721, 1990.745017041],\n    [0.00000000231, 5.82604761072, 2388.8940204492],\n    [0.00000000163, 4.15852184076, 4535.0594369244],\n    [0.00000000148, 3.28924896754, 2957.7158944766],\n    [0.00000000155, 5.12396546072, 796.2980068164],\n    [0.00000000154, 1.13809634337, 10025.3603984484],\n    [0.00000000158, 3.76267616455, 1194.4470102246],\n    [0.00000000134, 5.57743966517, 3894.1818295422],\n    [0.00000000145, 3.02382693331, 3337.0893083508],\n    [0.00000000147, 4.25259909424, 4399.994356889],\n    [0.000000001, 4.26399779787, 1589.0728952838],\n    [0.00000000091, 6.12313839857, 6489.776587288],\n    [0.000000001, 1.12570940535, 23384.2869868986],\n    [0.000000001, 1.17079212321, 7079.3738568078],\n    [0.00000000076, 6.00434755125, 529.6909650946],\n    [0.00000000076, 5.93213294948, 7477.522860216],\n    [0.00000000069, 1.70323063297, 9492.1463150048],\n    [0.00000000069, 3.69074496365, 8962.4553499102],\n    [0.00000000068, 0.15861692654, 3870.3033917944],\n    [0.00000000061, 4.14189658327, 4292.3308329504],\n    [0.00000000063, 1.94108069224, 6923.9534573736],\n    [0.0000000006, 4.28936601254, 12303.06777661],\n    [0.00000000065, 1.11375145336, 6151.533888305],\n    [0.00000000075, 4.71644556135, 3347.7259737006],\n    [0.00000000056, 2.74147961496, 4933.2084403326],\n    [0.00000000053, 4.77467577413, 6127.6554505572],\n    [0.0000000005, 2.57807944338, 3340.5951730476],\n    [0.00000000049, 3.72534850744, 9866.4168806652],\n    [0.0000000005, 4.60885064189, 3340.629680352],\n    [0.00000000042, 6.14743017903, 7234.794256242],\n    [0.00000000042, 3.43563949713, 5486.777843175],\n    [0.00000000044, 4.47908248027, 426.598190876],\n    [0.0000000004, 0.79167327114, 7.1135470008],\n    [0.00000000045, 6.24183361898, 2274.1169495098],\n    [0.00000000038, 1.09272124839, 9623.6882766912],\n    [0.00000000042, 4.60964038446, 6682.2051744678],\n    [0.00000000038, 6.18558685622, 5729.506447149],\n    [0.00000000038, 4.61315601536, 7740.6067835888],\n    [0.00000000036, 3.149965058, 639.897286314],\n    [0.0000000004, 1.47221984696, 13365.9728251482],\n    [0.00000000034, 2.44888174358, 2288.3440435114],\n    [0.00000000033, 4.07561553526, 3532.0606928114],\n    [0.00000000033, 4.00337366796, 191.4482661116],\n    [0.00000000034, 2.61360044785, 4690.4798363586],\n    [0.00000000042, 2.12093492483, 12832.7587417046],\n    [0.00000000032, 4.50887364887, 7875.6718636242],\n    [0.00000000032, 1.5745865437, 10419.9862835076],\n    [0.00000000042, 4.64340929626, 15643.6802033098],\n    [0.00000000034, 5.06656541832, 6681.2421070518],\n    [0.00000000036, 0.28987292152, 3723.508958923],\n    [0.00000000033, 4.52563219188, 4929.6853219836],\n    [0.00000000034, 2.74382990905, 6677.7017350506],\n    [0.00000000029, 4.82292532787, 6836.6452528338],\n    [0.00000000031, 1.25306031255, 242.728603974],\n    [0.0000000004, 1.33261257095, 5331.3574437408],\n    [0.00000000034, 3.03578748114, 6681.2075997474],\n    [0.00000000028, 5.44161669691, 10021.8545337516],\n    [0.00000000028, 3.41041355991, 10021.8200264472],\n    [0.00000000029, 1.44701292203, 26724.8994135984],\n    [0.00000000027, 0.23446626513, 9830.3890139878],\n    [0.00000000031, 3.55930404825, 8969.568896911],\n    [0.00000000027, 0.62554177429, 6681.2921637024],\n    [0.00000000028, 0.66108605606, 6283.0758499914],\n    [0.00000000026, 2.93963456706, 2544.3144198834],\n    [0.00000000028, 3.02947324104, 2281.2304965106],\n    [0.00000000026, 0.06758130889, 10818.1352869158],\n    [0.00000000033, 5.38463358374, 553.5694028424],\n    [0.00000000026, 1.18522107539, 8955.3418029094],\n    [0.0000000003, 5.72396134501, 3339.6321056316],\n    [0.00000000032, 2.01050754787, 5884.9268465832],\n    [0.00000000027, 3.74433763737, 6298.3283211764],\n    [0.00000000026, 1.03437538808, 6681.1575430968],\n    [0.00000000024, 0.07873299732, 382.8965322232],\n    [0.00000000027, 0.62459992026, 3553.9115221378],\n    [0.00000000024, 3.46652790647, 8031.0922630584],\n    [0.00000000027, 4.97242136909, 3767.2106175758],\n    [0.00000000021, 0.34500515713, 398.1490034082],\n    [0.00000000022, 0.16000431895, 6674.1113063988],\n    [0.00000000025, 4.80981908946, 7632.9432596502],\n    [0.0000000002, 1.03308861369, 7210.9158184942],\n    [0.00000000019, 1.00795666182, 7064.1213856228],\n    [0.0000000002, 5.08085454093, 6688.3384004004],\n    [0.00000000024, 4.53131373076, 1748.016413067],\n    [0.00000000021, 1.0006776287, 6894.5239488376],\n    [0.00000000021, 2.68399619671, 10018.3141617504],\n    [0.00000000018, 0.24311256346, 3981.490034082],\n    [0.00000000023, 3.25718834734, 5621.8429232104],\n    [0.00000000018, 5.22850479583, 3333.498879699],\n    [0.00000000017, 0.65399461894, 3340.545116397],\n    [0.00000000016, 2.23166601637, 10264.5658840734],\n    [0.00000000016, 3.99319122882, 951.7184062506],\n    [0.00000000017, 0.24322966235, 3340.6797370026],\n    [0.00000000015, 0.68756621158, 2699.7348193176],\n    [0.00000000015, 0.79676193982, 6438.4962494256],\n    [0.00000000019, 3.09984967041, 8273.8208670324],\n    [0.00000000018, 5.49826928276, 2146.1654164752],\n    [0.00000000014, 4.64772091449, 2118.7638603784],\n    [0.00000000015, 2.35470306373, 5092.1519581158],\n    [0.00000000014, 4.97209858575, 11081.2192102886],\n    [0.00000000017, 0.37871098191, 10575.4066829418],\n    [0.00000000014, 0.53224061765, 1066.49547719],\n    [0.00000000014, 1.08680225227, 6040.3472460174],\n    [0.00000000015, 4.55907710983, 8270.2977486834],\n    [0.00000000016, 5.13375747116, 9468.267877257],\n    [0.00000000013, 0.53705768941, 5088.6288397668],\n    [0.00000000013, 0.11088343011, 213.299095438],\n    [0.00000000013, 1.73016080294, 8671.9698704406],\n    [0.00000000012, 3.99880295457, 13207.029307365],\n    [0.00000000012, 4.09699657905, 6041.3275670856],\n    [0.00000000013, 5.6322599386, 3178.1457905676],\n    [0.00000000011, 3.61924209254, 11773.3768115154],\n    [0.00000000013, 4.97777304006, 10022.8176011676],\n    [0.00000000011, 2.29245339567, 2914.0142358238],\n    [0.00000000011, 0.1799469706, 9070.1188738488],\n    [0.00000000012, 5.15200495439, 10973.55568635],\n    [0.00000000014, 6.05434498977, 640.8776073822],\n    [0.00000000011, 1.7577939746, 4562.4609930212],\n    [0.00000000012, 1.46467398653, 12964.300703391],\n    [0.0000000001, 3.56966848964, 15113.9892382152],\n    [0.00000000009, 4.80839551981, 3325.3599555148],\n    [0.0000000001, 1.23311080707, 3360.96774609859],\n    [0.00000000009, 1.93544907019, 13760.5987102074],\n    [0.0000000001, 0.49076916855, 2810.9214616052],\n    [0.0000000001, 2.49016534434, 16173.3711684044],\n    [0.00000000009, 3.62373278148, 5614.7293762096],\n    [0.00000000009, 2.29700488106, 8429.2412664666],\n    [0.00000000009, 2.52785501283, 3427.9206312396],\n    [0.00000000009, 5.57605456632, 3355.8648978848],\n    [0.00000000008, 3.38386554244, 8827.3902698748],\n    [0.00000000008, 1.67431441943, 16706.585251848],\n    [0.00000000008, 3.62389227844, 12310.1813236108],\n    [0.00000000008, 2.25791643317, 151.8972810852],\n    [0.00000000008, 3.0802949894, 6254.6266625236],\n    [0.0000000001, 2.86769411066, 3320.257107301],\n    [0.00000000008, 3.03420706487, 1751.539531416],\n    [0.00000000007, 0.11237624686, 3127.3133312618],\n    [0.00000000009, 4.92065236724, 11216.284290324],\n    [0.00000000007, 3.67458682256, 3980.5097130138],\n];\n\nconst VSOP87_R4: Vsop87Element = [\n    [0.00000019551, 3.58210746512, 3340.6124266998],\n    [0.00000016322, 4.05115851142, 6681.2248533996],\n    [0.00000005848, 4.4638164658, 10021.8372800994],\n    [0.00000001533, 4.84332951095, 13362.4497067992],\n    [0.00000000375, 1.50951652931, 3185.1920272656],\n    [0.0000000034, 5.20519444932, 16703.062133499],\n    [0.00000000152, 5.1637614117, 3344.1355450488],\n    [0.00000000126, 2.19183723061, 3496.032826134],\n    [0.00000000148],\n    [0.00000000088, 0.10430359862, 3583.3410306738],\n    [0.00000000071, 5.5606098087, 20043.6745601988],\n    [0.0000000005, 5.56346631885, 6684.7479717486],\n    [0.00000000048, 2.91926298132, 2787.0430238574],\n    [0.00000000057, 1.86870004051, 6525.8044539654],\n    [0.00000000034, 3.63370917313, 3097.88382272579],\n    [0.00000000021, 2.30993179224, 1059.3819301892],\n    [0.0000000002, 4.04278354592, 4136.9104335162],\n    [0.00000000018, 4.1743875589, 3149.1641605882],\n    [0.00000000017, 5.90833786763, 23384.2869868986],\n    [0.00000000014, 1.98185426243, 155.4203994342],\n    [0.00000000013, 4.43167860883, 7477.522860216],\n    [0.00000000017, 5.93839376025, 10025.3603984484],\n    [0.00000000015, 4.58867012625, 6489.776587288],\n    [0.00000000014, 2.22119368504, 9866.4168806652],\n    [0.00000000013, 3.24667481494, 6127.6554505572],\n    [0.00000000013, 0.48623714297, 6923.9534573736],\n    [0.00000000012, 5.44223670746, 3738.761430108],\n    [0.00000000016, 2.67418088918, 4399.994356889],\n    [0.00000000014, 0.78383138857, 3894.1818295422],\n    [0.00000000011, 2.64507772215, 3341.592747768],\n    [0.00000000012, 4.34268478367, 2388.8940204492],\n    [0.00000000012, 2.52802901788, 6836.6452528338],\n    [0.00000000009, 2.81895333303, 4292.3308329504],\n    [0.00000000012, 5.83109172622, 7079.3738568078],\n    [0.00000000009, 0.76993290644, 1592.5960136328],\n    [0.00000000008, 3.56780948809, 796.2980068164],\n    [0.00000000008, 2.59620253825, 4535.0594369244],\n    [0.00000000008, 3.91827119997, 6438.4962494256],\n    [0.00000000009, 2.21473599227, 1194.4470102246],\n    [0.00000000008, 1.21128945285, 4690.4798363586],\n    [0.00000000007, 3.08488687971, 2544.3144198834],\n    [0.00000000008, 5.7238855439, 1990.745017041],\n    [0.00000000008, 3.00192257768, 3532.0606928114],\n    [0.00000000008, 4.44918099254, 3339.6321056316],\n    [0.00000000008, 3.21999751217, 3347.7259737006],\n    [0.00000000007, 1.16933312219, 4933.2084403326],\n    [0.00000000008, 5.12244052839, 3723.508958923],\n    [0.00000000006, 4.60069136817, 5729.506447149],\n    [0.00000000006, 1.82718202907, 2957.7158944766],\n    [0.00000000006, 3.00923601434, 6682.2051744678],\n    [0.00000000005, 2.74887623421, 1589.0728952838],\n    [0.00000000005, 2.01586492272, 5486.777843175],\n    [0.00000000005, 6.17623487651, 13365.9728251482],\n    [0.00000000006, 3.96856230146, 2146.1654164752],\n    [0.00000000005, 2.80833888276, 3337.0893083508],\n    [0.00000000004, 2.9272046294, 7875.6718636242],\n    [0.00000000004, 4.02001405595, 3333.498879699],\n];\n\nconst VSOP87_R5: Vsop87Element = [\n    [0.00000000475, 2.47621038205, 6681.2248533996],\n    [0.0000000027, 2.90961348988, 10021.8372800994],\n    [0.00000000116, 1.76766655427, 3340.6124266998],\n    [0.00000000097, 3.31315004582, 13362.4497067992],\n    [0.00000000049, 6.28284800757, 3185.1920272656],\n    [0.00000000027, 3.69297278191, 16703.062133499],\n    [0.00000000013, 3.67011956659, 3496.032826134],\n    [0.00000000012, 4.88179002689, 3583.3410306738],\n    [0.00000000012, Math.PI],\n    [0.00000000009, 4.05335755845, 20043.6745601988],\n    [0.00000000009, 0.35575801457, 6525.8044539654],\n    [0.00000000006, 3.95186839136, 6684.7479717486],\n    [0.00000000005, 1.40424074649, 2787.0430238574],\n    [0.00000000005, 3.60327227648, 3344.1355450488],\n    [0.00000000004, 5.11981331029, 3097.88382272579],\n    [0.00000000004, 5.2460306859, 6923.9534573736],\n    [0.00000000002, 0.40954426011, 9866.4168806652],\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 vsop87MarsDate from '@app/resources/vsop87/vsop87MarsSphericalDate';\nimport * as vsop87MarsJ2000 from '@app/resources/vsop87/vsop87MarsSphericalJ2000';\nimport Earth from '@package/earth/models/Earth';\nimport Sun from '@package/sun/models/Sun';\nimport type TimeOfInterest from '@package/time/models/TimeOfInterest';\nimport MarsClass from './models/Mars';\n\nclass Mars extends MarsClass {\n    public constructor(toi?: TimeOfInterest) {\n        const earth = new Earth(toi, vsop87EarthDate, vsop87EarthJ2000);\n\n        super(toi, earth, new Sun(toi, earth), vsop87MarsDate, vsop87MarsJ2000);\n    }\n\n    public static create(toi?: TimeOfInterest): Mars {\n        return new Mars(toi);\n    }\n}\n\nexport 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