# Stored data for newform 960.4.a.y, downloaded from the LMFDB on 07 November 2025. {"Nk2": 15360, "analytic_conductor": 56.64183360551099, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1]], "atkin_lehner_string": "+-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [960, 1, [511, 901, 641, 577], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[7, [-12, 1]], [11, [24, 1]]], "hecke_orbit": 25, "hecke_orbit_code": 108086391124001728, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "960.4.a.y", "level": 960, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 5], "level_radical": 30, "minimal_twist": "480.4.a.e", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+3q^{3}-5q^{5}+12q^{7}+9q^{9}-24q^{11}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "960.4.a", "trace_display": [0, 3, -5, 12], "trace_hash": 874512395819769686, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.997", "prec": 17}, {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, "data": "2.011", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.095", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 1, 0, 3, 0, -5, 0, 12, 0, 9, 0, -24, 0, -38, 0, -15, 0, -6, 0, 104, 0, 36, 0, -100, 0, 25, 0, 27, 0, -230, 0, 56, 0, -72, 0, -60, 0, -190, 0, -114, 0, 202, 0, -148, 0, -45, 0, -124, 0, -199, 0, -18, 0, -206, 0, 120, 0, 312, 0, -128, 0, -190, 0, 108, 0, 190, 0, -204, 0, -300, 0, 440, 0, 1210, 0, 75, 0, -288, 0, -816, 0, 81, 0, -1412, 0, 30, 0, -690, 0, -214, 0, -456, 0, 168, 0, -520, 0, 1202, 0, -216, 0, -1342, 0, -908, 0, -180, 0, -876, 0, -302, 0, -570, 0, -998, 0, 500, 0, -342, 0, -72, 0, -755, 0, 606, 0, -125, 0, -836, 0, -444, 0, -1480, 0, 1248, 0, -135, 0, 1346, 0, 824, 0, -372, 0, 912, 0, 1150, 0, -597, 0, 2450, 0, -2696, 0, -54, 0, -280, 0, 554, 0, -618, 0, -1200, 0, -1364, 0, 360, 0, 2004, 0, -753, 0, 936, 0, 1546, 0, 300, 0, -384, 0, -1072, 0, 3754, 0, -570, 0, 950, 0, 144, 0, 324, 0, -1224, 0, -1694, 0, 570, 0, -3134, 0, -2560, 0, -612, 0, -2760, 0, -1010, 0, -900, 0, -2496, 0, -1856, 0, 1320, 0, 740, 0, 672, 0, 3630, 0, 228, 0, -1596, 0, 225, 0, -3996, 0, 6090, 0, -864, 0, -894, 0, 620, 0, -2448, 0, 6336, 0, 338, 0, 243, 0, 995, 0, -3952, 0, -4236, 0, -4872, 0, 2400, 0, 90, 0, -1878, 0, -2280, 0, -2070, 0, -2244, 0, 1030, 0, -642, 0, 4314, 0, 6392, 0, -1368, 0, -600, 0, -4398, 0, 504, 0, -7622, 0, 1020, 0, -1560, 0, 2424, 0, -4877, 0, 3606, 0, 3746, 0, 640, 0, -648, 0, 3800, 0, -1776, 0, -4026, 0, 950, 0, 9700, 0, -2724, 0, -4152, 0, 6362, 0, -540, 0, -10886, 0, 5520, 0, -2628, 0, -624, 0, -950, 0, -906, 0, -1488, 0, 4128, 0, -1710, 0, 1020, 0, 12002, 0, -2994, 0, -1344, 0, -6504, 0, 1500, 0, 6276, 0, 9362, 0, -1026, 0, -838, 0, -2200, 0, -216, 0, 6896, 0, 3957, 0, -2265, 0, -6050, 0, 1132, 0, 1818, 0, -2472, 0, 12578, 0, -375, 0, 8740, 0, 11752, 0, -2508, 0, 7372, 0, 1440, 0, -1332, 0, -6654, 0, 600, 0, -4440, 0, 4080, 0, -4278, 0, 3744, 0, 9074, 0, -2128, 0, -405, 0, 4560, 0, 6682, 0, 4038, 0, -1536, 0, 7060, 0, 2472, 0, 4832, 0, -3974, 0, -1116, 0, -150, 0, -2280, 0, 2736, 0, -1112, 0, 1106, 0, 3450, 0, -10400, 0, 9280, 0, -1791, 0, 7004, 0, 1070, 0, 7350, 0, -11502, 0, -4848, 0, -8088, 0, 2280, 0, 11578, 0, -162, 0, 6362, 0, -2892, 0, -840, 0, -11036, 0, -2448, 0, 1662, 0, 3552, 0, 2600, 0, -1854, 0, 13664, 0, 7220, 0, -3600, 0, -6010, 0, -4820, 0, -4092, 0, 17464, 0, 1380, 0, 1080, 0, 5280, 0, 13960, 0, 6012, 0, -20388, 0, 6710, 0, -2259, 0, 12954, 0, 14520, 0, 2808, 0, 4540, 0, 2976, 0, 4638, 0, -3542, 0, 1532, 0, 900, 0, -336, 0, -2167, 0, -1152, 0, -7676, 0, 4380, 0, -3216, 0, 4776, 0, 11826, 0, 11262, 0, 1510, 0, -11260, 0, -1710, 0, -23920, 0, -9792, 0, 2850, 0, -4374, 0, 5624, 0, 432, 0, -11604, 0, 4990, 0, 972, 0, -7990, 0, -26080, 0, -3672, 0, -2500, 0, 13922, 0, -5082, 0, -16944, 0, 4944, 0, 1710, 0, 26340, 0, 5824, 0, -9402, 0, -9478, 0, 360, 0, -7680, 0, -6528, 0, 2090, 0, -1836, 0, 3775, 0, -8788, 0, -8280, 0, 4712, 0, 2626, 0, -3030, 0, -29214, 0, 22984, 0, -2700, 0, -2568, 0, 625, 0, -7488, 0, 1140, 0, -4472, 0, -5568, 0, 4180, 0, 7562, 0, 3960, 0, -8798, 0, -29428, 0, 2220, 0, -4860, 0, 3072, 0, 2016, 0, 6570, 0, 7400, 0, 10890, 0, 26496, 0, 19642, 0, 684, 0, -6240, 0, 23000, 0, -4788, 0, 4560, 0, -19582, 0, 675, 0, 22914, 0, 14424, 0, -11988, 0, -13764, 0, -6730, 0, 18270, 0, 7828, 0, -34688, 0, -2592, 0, -4120, 0, -1212, 0, -2682, 0, 17226, 0, -19760, 0, 1860, 0, -16104, 0, 12970, 0, -7344, 0, -5600, 0, -4560, 0, 19008, 0, -10832, 0, -10896, 0, 1014, 0, -5750, 0, -35588, 0, 729, 0, 888, 0, -19238, 0, 2985, 0, 4896, 0, -4072, 0, -11856, 0, -31268, 0, -12250, 0, -12708, 0, -10512, 0, 28216, 0, -14616, 0, 13480, 0, 33874, 0, 7200, 0, 5466, 0, -3624, 0, 270, 0, 4864, 0, -8878, 0, -5634, 0, 9538, 0, 1400, 0, -6840, 0, 21008, 0, -10560, 0, -6210, 0, -2770, 0, -5404, 0, -6732, 0, -11976, 0, 7220, 0, 3090, 0, -16326, 0, 744, 0, -1926, 0, -29040, 0, 6000, 0, 12942, 0, 26202, 0, -26208, 0, 19176, 0, 6820, 0, -15392, 0, -4104, 0, 1986, 0, 5236, 0, -1800, 0, -26044, 0, -21246, 0, -13194, 0, 1194, 0, -10020, 0, 1512, 0, 17440, 0, 28511, 0, -22866, 0, 3765, 0, -9060, 0, 3060, 0, 19000, 0, -33582, 0, -4680, 0, -18942, 0, 25720, 0, 7272, 0, -32436, 0, -7730, 0, -14631, 0, 19584, 0, 7752, 0, 10818, 0, -1500, 0, -8646, 0, 11238, 0, 27442, 0, -14116, 0, 1920, 0, -4124, 0, -10032, 0, -1944, 0, -12896, 0, 5360, 0, 11400, 0, -12880, 0, 1236, 0, -5328, 0, -18770, 0, 42100, 0, -12078, 0, -34152, 0, 33888, 0, 2850, 0, -17760, 0, -41984, 0, 29100, 0, -16720, 0, -4750, 0, -8172, 0, 48434, 0, -20696, 0, -12456, 0, -720, 0, -25590, 0, 19086, 0, 18906, 0, -20200, 0, -1620, 0, -36316, 0, -45980, 0, -32658, 0, 15890, 0, 6120, 0, 16560, 0, 16152, 0, -26655, 0, -7884, 0, 8470, 0, -116, 0, -1872, 0, 4744, 0, 9888, 0, -2850, 0, -18374, 0, 5136, 0, -2718, 0, 13036, 0, 15670, 0, -4464, 0, 14800, 0, -15224, 0, 12384, 0, 12800, 0, 43794, 0, -5130, 0, 10944, 0, 768, 0, 3060, 0, -21424, 0, 19298, 0, 36006, 0, -17518, 0, 13800, 0, -8982, 0, -41936, 0, -22942, 0, -4032, 0, 5050, 0, 31008, 0, -19512, 0, -39624, 0, 45018, 0, 4500, 0, 1140, 0, 48928, 0, 18828, 0, 29400, 0, 12480, 0, 28086, 0, 54378, 0, -58192, 0, -3078, 0, 9280, 0, -32352, 0, -2514, 0, -6222, 0, -48940, 0, -6600, 0, -28848, 0, -49246, 0, -648, 0, 43700, 0, -3700, 0, 20688, 0, 53656, 0, 12400, 0, 11871, 0, -3360, 0, -28804, 0, -6795, 0, -23688, 0, -9790, 0, -18150, 0, -37870, 0, 6648, 0, 3396, 0, 42780, 0, -1140, 0, 5454, 0, -25182, 0, 32208, 0, -7416, 0, 7980, 0, -41686, 0, 37734, 0, -13312, 0, 4684, 0, -1125, 0, 19900, 0, 45130, 0, 26220, 0, 21792, 0, 19980, 0, 35256, 0, 1224, 0, -16368, 0, -7524, 0, -30450, 0, -10640, 0, 22116, 0, 48232, 0, -71342, 0, 4320, 0, 8132, 0, -19760, 0, -3996, 0, 26364, 0, 4470, 0, -19962, 0, 24048, 0, 61392, 0, 1800, 0, -3100, 0, 21024, 0, -13320, 0, -53478, 0, -9036, 0, 12240, 0, -7324, 0, -46460, 0, -12834, 0, 3282, 0, -31680, 0, 11232, 0, 7248, 0, -64638, 0, 27222, 0, -1690, 0, -2640, 0, -6384, 0, 18552, 0, -27606, 0, -1215, 0, -78102, 0, 20600, 0, 13680, 0, 38460, 0, -4975, 0, 20046, 0, 18298, 0, 62760, 0, 12114, 0, 19760, 0, 63074, 0, -4608, 0, -7260, 0, 23952, 0, 21180, 0, 34040, 0, -66110, 0, 7416, 0, -12864, 0, 24360, 0, 14496, 0, 18816, 0, -45676, 0, -11922, 0, -12000, 0, 45048, 0, -3348, 0, 11312, 0, -21216, 0, -450, 0, 21210, 0, -72800, 0, -6840, 0, -79236, 0, 9390, 0, 8208, 0, 32762, 0, -68192, 0, -3336, 0, 11400, 0, -62414, 0, 3318, 0, 14002, 0, 5508, 0, 10350, 0, -33356, 0, 1728, 0, -31200, 0, 50996, 0, 11220, 0, 27840, 0, 62416, 0, -24470, 0, -5373, 0, -5150, 0, -58436, 0, 21012, 0, 50064, 0, -8288, 0, 3210, 0, -14688, 0, 34504, 0, 22050, 0, 4896, 0, -21570, 0, -34506, 0, 45760, 0, -20328, 0, -14544, 0, -31960, 0, 12800, 0, -24264, 0, 20850, 0, 28520, 0, 6840, 0, 76708, 0, -14553, 0, 34734, 0, 47290, 0, 3000, 0, -486, 0, -37608, 0, 26426, 0, 19086, 0, 21990, 0, 125840, 0, -8676, 0, 33288, 0, -30720, 0, -2520, 0, 20064, 0, 60400, 0, -33108, 0, 19000, 0, 38110, 0, -7344, 0, 1554, 0, 8472, 0, 4986, 0, -5100, 0, 11476, 0, 10656, 0, 45770, 0, -53980, 0, 7800, 0, 55908, 0, 27562, 0, -5562, 0, -48862, 0, -12120, 0, 40992, 0, -32896, 0, 35520, 0, 21660, 0, 24385, 0, 61180, 0, -10800, 0, -19272, 0, -19686, 0, -18030, 0, -6944, 0, 81368, 0, -14460, 0, -29952, 0, -18730, 0, -12276, 0, 37924, 0, 63160, 0, 52392, 0, -3200, 0, -22272, 0, 4140, 0, -22038, 0, -1588, 0, 3240, 0, 8212, 0, -96174, 0, 15840, 0, 80562, 0, -19000, 0, 41880, 0, -22544, 0, -84864, 0, 18036, 0, 8880, 0, -32304, 0, -61164, 0, -28440, 0, 1284, 0, 20130, 0, -38380, 0, -11144, 0, -6777, 0, 34700, 0, -4750, 0, 38862, 0, -19776, 0, -46032, 0, 43560, 0, -48500, 0, 47380, 0, 8424, 0, 20400, 0, 87940, 0, 13620, 0, 2736, 0, -60446, 0, 8928, 0, 99946, 0, 20760, 0, 13914, 0, 34464, 0, -19152, 0, -10626, 0, -31810, 0, -94948, 0, 4596, 0, 22872, 0, 28690, 0, 2700, 0, -146848, 0, -34488, 0, -1008, 0, 42780, 0, 54430, 0, -6501, 0, -47952, 0, 28120, 0, -3456, 0, -27600, 0, 17274, 0, -23028, 0, 14658, 0, 73080, 0, 13140, 0, 54132, 0, 55578, 0, -9648, 0, 50602, 0, 3120, 0, 14328, 0, -6000, 0, 58346, 0, 35478, 0, 4750, 0, -6380, 0, 33786, 0, -10728, 0, -44000, 0, 4530, 0, -112350, 0, -58800, 0, -33780, 0, -11536, 0, 7440, 0, -5130, 0, -7212, 0, 31768, 0, -71760, 0, -20640, 0, 37402, 0, -29376, 0, 64704, 0, 117332, 0, 8550, 0, -44732, 0, -23126, 0, -13122, 0, 76032, 0, -5100, 0, 16872, 0, -121000, 0, -28117, 0, 1296, 0, -60010, 0, 4056, 0, -34812, 0, -22256, 0, -51462, 0, 14970, 0, 118842, 0, -135448, 0, 2916, 0, 56240, 0, 6720, 0, -23970, 0, 111066, 0, 29440, 0, -78240, 0, 32520, 0, 8052, 0, -11016, 0, 55450, 0, -114356, 0, -7500, 0, -13296, 0, -47424, 0, 41766, 0, 15138, 0, -31380, 0, -15246, 0, 23560, 0, -32622, 0, -50832, 0, -46810, 0, 34868, 0, 14832, 0, 5448, 0, -10870, 0, 5130, 0, -58464, 0, -28032, 0, 79020, 0, -29896, 0, 4190, 0, 17472, 0, 43700, 0, 28800, 0, -28206, 0, 11000, 0, 56994, 0, -28434, 0, -51148, 0, 75668, 0, 1080, 0, 24820, 0, -70734, 0, -23040, 0, 32736, 0, -34480, 0, -19584, 0, -22536, 0, 15738, 0, 6270, 0, -19785, 0, -31312, 0, -5508, 0, 127800, 0, 37810, 0, 11325, 0, 81600, 0, 5256, 0, -26364, 0, -81076, 0, 30250, 0, -24840, 0, -7168, 0, 41224, 0, 14136, 0, -5660, 0, -48096, 0, 7878, 0, -26928, 0, 125008, 0, -9090, 0, 20276, 0, -57603, 0, -87642, 0, 1812, 0, 12360, 0, 68952, 0, 18072, 0, -58518, 0, -8100, 0, -62890, 0, -103308, 0, -7704, 0, -101080, 0, -22366, 0, 1875, 0, -119758, 0, -55184, 0, -22464, 0, 51768, 0, -43700, 0, 3420, 0, 125330, 0, -10640, 0, -13416, 0, -58760, 0, 76704, 0, -16704, 0, -70390, 0, -37104, 0, 12540, 0, 39300, 0, 141200, 0, 22686, 0, -26286, 0, -36860, 0, 11880, 0, -139568, 0, 5988, 0, -26394, 0, -7200, 0, -25048, 0, -88284, 0, -149464, 0, 8042, 0, 6660, 0, -93100, 0, -52776, 0, -14580, 0, 46920, 0, 33270, 0, 9216, 0, 114650, 0, -10376, 0, 6048, 0, -3000, 0, -94432, 0, 19710, 0, 39140, 0, 102448, 0, 22200, 0, -91464, 0, 25728, 0, 32670, 0, -123182, 0, -20400, 0, 79488, 0, -41424, 0, 12240, 0, 58926, 0, 21390, 0, -164556, 0, 2052, 0, -90096, 0, 62314, 0, -18720, 0, -48630, 0, -137632, 0, 69000, 0, 107148, 0, -45370, 0, -14364, 0, -40198, 0, -166448, 0, 13680, 0, 10640, 0, 50578, 0, -58746, 0, 18352, 0, -58524, 0, 2025, 0, 141476, 0, -44654, 0, 68742, 0, -91104, 0, -22800, 0, 43272, 0, -71904, 0, -21052, 0, -35964, 0, -33410, 0, 21400, 0, -41292, 0, 44952, 0, 53394, 0, -20190, 0, 4530, 0, -101200, 0, 54810, 0, -29956, 0, 7680, 0, 23484, 0, 144114, 0, -31408, 0, -104064, 0, -35300, 0, -11424, 0, -7776, 0, -95390, 0, -137492, 0, -12360, 0, -40572, 0, -62518, 0, -3636, 0, 45600, 0, -24160, 0, -8046, 0, -40352, 0, 29376, 0, 51678, 0, 19870, 0, 29452, 0, -59280, 0, 135816, 0, -10446, 0, 5580, 0, -278300, 0, 51832, 0, -48312, 0, 40656, 0, 750, 0, 38910, 0, 12802, 0, 128960, 0, -22032, 0, 11400, 0, 48538, 0, -16800, 0, 126506, 0, -34764, 0, -13680, 0, -103792, 0, 116400, 0, 57024, 0, -126862, 0, 5560, 0, -32496, 0, 5016, 0, -4846, 0, -32688, 0, -5530, 0, 75216, 0, 3042, 0, -76152, 0, -41612, 0, -17250, 0, -49824, 0, -46856, 0, -106764, 0, 24320, 0, 52000, 0, 2187, 0, 61440, 0, 76344, 0, 2664, 0, -46400, 0, 112100, 0, -57714, 0, 24640, 0, -119780, 0, 8955, 0, -148284, 0, -88447, 0, 14688, 0, 147746, 0, -35020, 0, -12216, 0, -130632, 0, 205794, 0, -35568, 0, -5350, 0, 8880, 0, -93804, 0, -120200, 0, 66240, 0, -36750, 0, 5562, 0, -91216, 0, -38124, 0, 145788, 0, 57510, 0, -31536, 0, -58748, 0, 189728, 0, 84648, 0, 24240, 0, 36100, 0, -43848, 0, -7488, 0, 67760, 0, 40440, 0, 124308, 0, 63922, 0, 101622, 0, -126982, 0, -11400, 0, 21600, 0, 30488, 0, 149626, 0, 16398, 0, -57890, 0, -117492, 0, -10872, 0, 187680, 0, 18370, 0, 810, 0, -82622, 0, -78520, 0, 14592, 0, 24676, 0, -31810, 0, -26634, 0, 53490, 0, -24936, 0, -16902, 0, 14460, 0, 49536, 0, 28614, 0, 44544, 0, 134200, 0, 4200, 0, 40736, 0, -8076, 0, -20520, 0, -23942, 0, 55180, 0, 63024, 0, -123040, 0, 118490, 0, -31680, 0, 12240, 0, 18436, 0, -18630, 0, 57192, 0, -142652, 0, -8310, 0, -63982, 0, 144024, 0, -16212, 0, -4944, 0, -17760, 0, -20196, 0, 90800, 0, 19296, 0, -35928, 0, -13000, 0, 196986, 0, 21660, 0, -11622, 0, 105268, 0, 9270, 0, -16128, 0, 121290, 0, -48978, 0, 41778, 0, -68320, 0, 2232, 0, -151440, 0, -9791, 0, -5778, 0, -36100, 0, 324760, 0, -87120, 0, -49704, 0, -86944, 0, 18000, 0, -77046, 0, -25856, 0, 38826, 0, -55668, 0, 30050, 0, 78606, 0, 75312, 0, -5472, 0, -78624, 0, 24100, 0, 210482, 0, 57528, 0, -103062, 0, 112344, 0, 20460, 0, 13780, 0, -45696, 0, -46176, 0, 38304, 0, -87320, 0, -12312, 0, -89760, 0, 87600, 0, 5958, 0, -6900, 0, -102012, 0, 15708, 0, -10056, 0, -3990, 0, -5400, 0, -127734, 0, 38760, 0, -78132, 0, 46512, 0, -26400, 0, -63738, 0, -153920, 0, 25544, 0, -39582, 0, -69800, 0, 95904, 0, 3582, 0, -38380, 0, -37788, 0, -30060, 0, 30200, 0, 64372, 0, 4536, 0, 82752, 0, 101940, 0, 52320, 0, -146160, 0, -100550, 0, 85533, 0, -33550, 0, 47484, 0, -68598, 0, -15480, 0, -14700, 0, 11295, 0, 18944, 0, 38952, 0, -27180, 0, 97740, 0, -64770, 0, 9180, 0, 102082, 0, -221416, 0, 57000, 0, -72600, 0, 36794, 0, -100746, 0, 119092, 0, 21456, 0, -14040, 0, 16176, 0, 13584, 0, -56826, 0, -79072, 0, -22700, 0, 77160, 0, 209440, 0, 49220, 0, 21816, 0, -14880, 0, 97280, 0, -97308, 0, 185144, 0, 78658, 0, -23190, 0, 40994, 0, 99800, 0, -43893, 0, 139984, 0, 17710, 0, 58752, 0, 64226, 0, 150936, 0, 23256, 0, -7660, 0, 200650, 0, 32454, 0, -30966, 0, 28120, 0, -4500, 0, -83600, 0, -152064, 0, -25938, 0, -76542, 0, 1680, 0, 33714, 0, 104880, 0, 85696, 0, 82326, 0, 10835, 0, -3028, 0, -42348, 0, -8112, 0, 141024, 0, 5760, 0, -86118, 0, -197832, 0, -12372, 0, 172412, 0, 38380, 0, -30096, 0, -3324, 0, -10040, 0, -5832, 0, -21900, 0, 30418, 0, -38688, 0, 88464, 0, 113436, 0, 16080, 0, 68340, 0, -36654, 0, 34200, 0, 120802, 0, -23880, 0, -38640, 0, 172416, 0, -229900, 0, 3708, 0, -59130, 0, 1604, 0, -15984, 0, 83208, 0, -110390, 0, -56310, 0, 94848, 0, -72736, 0, 126300, 0, -79848, 0, -7550, 0, -36234, 0, 127642, 0, -9680, 0, -102456, 0, 56300, 0, 7200, 0, 101664, 0, -119246, 0, 70528, 0, 8550, 0, -41208, 0, -203918, 0, -53280, 0, 148026, 0, 119600, 0, -125952, 0, -11984, 0, 116928, 0, 87300, 0, 48960, 0, 101644, 0, -50160, 0, 8184, 0, 15872, 0, -14250, 0, -178062, 0, -51336, 0, -24516, 0, 75500, 0, 21870, 0, 145302, 0, -38574, 0, -256312, 0, -62088, 0, -28120, 0, -76918, 0, -37368, 0, -246574, 0, -171524, 0, -2160, 0, 108888, 0, -106441, 0, -76770, 0, -276460, 0, 58020, 0, 57258, 0, -219616, 0, -25536, 0, 56718, 0, -24950, 0, 45072, 0, -60600, 0, 254800, 0, -88238, 0, -4860, 0, -171278, 0, -12024, 0, -108948, 0, -79972, 0, 39950, 0, -137940, 0, 54720, 0, 47280, 0, -97974, 0, 130400, 0, 46938, 0, 47670, 0, 93258, 0, 80184, 0, 18360, 0, 23560, 0, -280384, 0, 49680, 0, 4518, 0, 12500, 0, 48456, 0, 256000, 0, 30192, 0, -79965, 0, -69610, 0, 86876, 0, -23652, 0, 25472, 0, 53856, 0, 25410, 0, 46026, 0, 60648, 0, -348, 0, 55596, 0, 84720, 0, -5616, 0, -231078, 0, 88880, 0, 14232, 0, -24720, 0, 90866, 0, 29664, 0, 83600, 0, 155040, 0, -8550, 0, -250396, 0, 308660, 0, -55122, 0, 57984, 0, -131700, 0, 15408, 0, 122480, 0, -9276, 0, -8154, 0, -29120, 0, -47688, 0, 39108, 0, 151848, 0, 290858, 0, 47010, 0, 50698, 0, -103536, 0, -13392, 0, -118036, 0, 47390, 0, 44400, 0, 287562, 0, 192128, 0, -45672, 0, -1800, 0, -231420, 0, 37152, 0, -153408, 0, 57616, 0, 38400, 0, 208840, 0, 37810, 0, 131382, 0, 244420, 0, 32640, 0, -15390, 0, -16400, 0], "weight": 4, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0], 1, 0, 3, 0, -5, 0, 12, 0, 9, 0, -24, 0, -38, 0, -15, 0, -6, 0, 104, 0, 36, 0, -100, 0, 25, 0, 27, 0, -230, 0, 56, 0, -72, 0, -60, 0, -190, 0, -114, 0, 202, 0, -148, 0, -45, 0, -124, 0, -199, 0, -18, 0, -206, 0, 120, 0, 312, 0, -128, 0, -190, 0, 108, 0, 190, 0, -204, 0, -300, 0, 440, 0, 1210, 0, 75, 0, -288, 0, -816, 0, 81, 0, -1412, 0, 30, 0, -690, 0, -214, 0, -456, 0, 168, 0, -520, 0, 1202, 0, -216, 0, -1342, 0, -908, 0, -180, 0, -876, 0, -302, 0, -570, 0, -998, 0, 500, 0, -342, 0, -72, 0, -755, 0, 606, 0, -125, 0, -836, 0, -444, 0, -1480, 0, 1248, 0, -135, 0, 1346, 0, 824, 0, -372, 0, 912, 0, 1150, 0, -597, 0, 2450, 0, -2696, 0, -54, 0, -280, 0, 554, 0, -618, 0, -1200, 0, -1364, 0, 360, 0, 2004, 0, -753, 0, 936, 0, 1546, 0, 300, 0, -384, 0, -1072, 0, 3754, 0, -570, 0, 950, 0, 144, 0, 324, 0, -1224, 0, -1694, 0, 570, 0, -3134, 0, -2560, 0, -612, 0, -2760, 0, -1010, 0, -900, 0, -2496, 0, -1856, 0, 1320, 0, 740, 0, 672, 0, 3630, 0, 228, 0, -1596, 0, 225, 0, -3996, 0, 6090, 0, -864, 0, -894, 0, 620, 0, -2448, 0, 6336, 0, 338, 0, 243, 0, 995, 0, -3952, 0, -4236, 0, -4872, 0, 2400, 0, 90, 0, -1878, 0, -2280, 0, -2070, 0, -2244, 0, 1030, 0, -642, 0, 4314, 0, 6392, 0, -1368, 0, -600, 0, -4398, 0, 504, 0, -7622, 0, 1020, 0, -1560, 0, 2424, 0, -4877, 0, 3606, 0, 3746, 0, 640, 0, -648, 0, 3800, 0, -1776, 0, -4026, 0, 950, 0, 9700, 0, -2724, 0, -4152, 0, 6362, 0, -540, 0, -10886, 0, 5520, 0, -2628, 0, -624, 0, -950, 0, -906, 0, -1488, 0, 4128, 0, -1710, 0, 1020, 0, 12002, 0, -2994, 0, -1344, 0, -6504, 0, 1500, 0, 6276, 0, 9362, 0, -1026, 0, -838, 0, -2200, 0, -216, 0, 6896, 0, 3957, 0, -2265, 0, -6050, 0, 1132, 0, 1818, 0, -2472, 0, 12578, 0, -375, 0, 8740, 0, 11752, 0, -2508, 0, 7372, 0, 1440, 0, -1332, 0, -6654, 0, 600, 0, -4440, 0, 4080, 0, -4278, 0, 3744, 0, 9074, 0, -2128, 0, -405, 0, 4560, 0, 6682, 0, 4038, 0, -1536, 0, 7060, 0, 2472, 0, 4832, 0, -3974, 0, -1116, 0, -150, 0, -2280, 0, 2736, 0, -1112, 0, 1106, 0, 3450, 0, -10400, 0, 9280, 0, -1791, 0, 7004, 0, 1070, 0, 7350, 0, -11502, 0, -4848, 0, -8088, 0, 2280, 0, 11578, 0, -162, 0, 6362, 0, -2892, 0, -840, 0, -11036, 0, -2448, 0, 1662, 0, 3552, 0, 2600, 0, -1854, 0, 13664, 0, 7220, 0, -3600, 0, -6010, 0, -4820, 0, -4092, 0, 17464, 0, 1380, 0, 1080, 0, 5280, 0, 13960, 0, 6012, 0, -20388, 0, 6710, 0, -2259, 0, 12954, 0, 14520, 0, 2808, 0, 4540, 0, 2976, 0, 4638, 0, -3542, 0, 1532, 0, 900, 0, -336, 0, -2167, 0, -1152, 0, -7676, 0, 4380, 0, -3216, 0, 4776, 0, 11826, 0, 11262, 0, 1510, 0, -11260, 0, -1710, 0, -23920, 0, -9792, 0, 2850, 0, -4374, 0, 5624, 0, 432, 0, -11604, 0, 4990, 0, 972, 0, -7990, 0, -26080, 0, -3672, 0, -2500, 0, 13922, 0, -5082, 0, -16944, 0, 4944, 0, 1710, 0, 26340, 0, 5824, 0, -9402, 0, -9478, 0, 360, 0, -7680, 0, -6528, 0, 2090, 0, -1836, 0, 3775, 0, -8788, 0, -8280, 0, 4712, 0, 2626, 0, -3030, 0, -29214, 0, 22984, 0, -2700, 0, -2568, 0, 625, 0, -7488, 0, 1140, 0, -4472, 0, -5568, 0, 4180, 0, 7562, 0, 3960, 0, -8798, 0, -29428, 0, 2220, 0, -4860, 0, 3072, 0, 2016, 0, 6570, 0, 7400, 0, 10890, 0, 26496, 0, 19642, 0, 684, 0, -6240, 0, 23000, 0, -4788, 0, 4560, 0, -19582, 0, 675, 0, 22914, 0, 14424, 0, -11988, 0, -13764, 0, -6730, 0, 18270, 0, 7828, 0, -34688, 0, -2592, 0, -4120, 0, -1212, 0, -2682, 0, 17226, 0, -19760, 0, 1860, 0, -16104, 0, 12970, 0, -7344, 0, -5600, 0, -4560, 0, 19008, 0, -10832, 0, -10896, 0, 1014, 0, -5750, 0, -35588, 0, 729, 0, 888, 0, -19238, 0, 2985, 0, 4896, 0, -4072, 0, -11856, 0, -31268, 0, -12250, 0, -12708, 0, -10512, 0, 28216, 0, -14616, 0, 13480, 0, 33874, 0, 7200, 0, 5466, 0, -3624, 0, 270, 0, 4864, 0, -8878, 0, -5634, 0, 9538, 0, 1400, 0, -6840, 0, 21008, 0, -10560, 0, -6210, 0, -2770, 0, -5404, 0, -6732, 0, -11976, 0, 7220, 0, 3090, 0, -16326, 0, 744, 0, -1926, 0, -29040, 0, 6000, 0, 12942, 0, 26202, 0, -26208, 0, 19176, 0, 6820, 0, -15392, 0, -4104, 0, 1986, 0, 5236, 0, -1800, 0, -26044, 0, -21246, 0, -13194, 0, 1194, 0, -10020, 0, 1512, 0, 17440, 0, 28511, 0, -22866, 0, 3765, 0, -9060, 0, 3060, 0, 19000, 0, -33582, 0, -4680, 0, -18942, 0, 25720, 0, 7272, 0, -32436, 0, -7730, 0, -14631, 0, 19584, 0, 7752, 0, 10818, 0, -1500, 0, -8646, 0, 11238, 0, 27442, 0, -14116, 0, 1920, 0, -4124, 0, -10032, 0, -1944, 0, -12896, 0, 5360, 0, 11400, 0, -12880, 0, 1236, 0, -5328, 0, -18770, 0, 42100, 0, -12078, 0, -34152, 0, 33888, 0, 2850, 0, -17760, 0, -41984, 0, 29100, 0, -16720, 0, -4750, 0, -8172, 0, 48434, 0, -20696, 0, -12456, 0, -720, 0, -25590, 0, 19086, 0, 18906, 0, -20200, 0, -1620, 0, -36316, 0, -45980, 0, -32658, 0, 15890, 0, 6120, 0, 16560, 0, 16152, 0, -26655, 0, -7884, 0, 8470, 0, -116, 0, -1872, 0, 4744, 0, 9888, 0, -2850, 0, -18374, 0, 5136, 0, -2718, 0, 13036, 0, 15670, 0, -4464, 0, 14800, 0, -15224, 0, 12384, 0, 12800, 0, 43794, 0, -5130, 0, 10944, 0, 768, 0, 3060, 0, -21424, 0, 19298, 0, 36006, 0, -17518, 0, 13800, 0, -8982, 0, -41936, 0, -22942, 0, -4032, 0, 5050, 0, 31008, 0, -19512, 0, -39624, 0, 45018, 0, 4500, 0, 1140, 0, 48928, 0, 18828, 0, 29400, 0, 12480, 0, 28086, 0, 54378, 0, -58192, 0, -3078, 0, 9280, 0, -32352, 0, -2514, 0, -6222, 0, -48940, 0, -6600, 0, -28848, 0, -49246, 0, -648, 0, 43700, 0, -3700, 0, 20688, 0, 53656, 0, 12400, 0, 11871, 0, -3360, 0, -28804, 0, -6795, 0, -23688, 0, -9790, 0, -18150, 0, -37870, 0, 6648, 0, 3396, 0, 42780, 0, -1140, 0, 5454, 0, -25182, 0, 32208, 0, -7416, 0, 7980, 0, -41686, 0, 37734, 0, -13312, 0, 4684, 0, -1125, 0, 19900, 0, 45130, 0, 26220, 0, 21792, 0, 19980, 0, 35256, 0, 1224, 0, -16368, 0, -7524, 0, -30450, 0, -10640, 0, 22116, 0, 48232, 0, -71342, 0, 4320, 0, 8132, 0, -19760, 0, -3996, 0, 26364, 0, 4470, 0, -19962, 0, 24048, 0, 61392, 0, 1800, 0, -3100, 0, 21024, 0, -13320, 0, -53478, 0, -9036, 0, 12240, 0, -7324, 0, -46460, 0, -12834, 0, 3282, 0, -31680, 0, 11232, 0, 7248, 0, -64638, 0, 27222, 0, -1690, 0, -2640, 0, -6384, 0, 18552, 0, -27606, 0, -1215, 0, -78102, 0, 20600, 0, 13680, 0, 38460, 0, -4975, 0, 20046, 0, 18298, 0, 62760, 0, 12114, 0, 19760, 0, 63074, 0, -4608, 0, -7260, 0, 23952, 0, 21180, 0, 34040, 0, -66110, 0, 7416, 0, -12864, 0, 24360, 0, 14496, 0, 18816, 0, -45676, 0, -11922, 0, -12000, 0, 45048, 0, -3348, 0, 11312, 0, -21216, 0, -450, 0, 21210, 0, -72800, 0, -6840, 0, -79236, 0, 9390, 0, 8208, 0, 32762, 0, -68192, 0, -3336, 0, 11400, 0, -62414, 0, 3318, 0, 14002, 0, 5508, 0, 10350, 0, -33356, 0, 1728, 0, -31200, 0, 50996, 0, 11220, 0, 27840, 0, 62416, 0, -24470, 0, -5373, 0, -5150, 0, -58436, 0, 21012, 0, 50064, 0, -8288, 0, 3210, 0, -14688, 0, 34504, 0, 22050, 0, 4896, 0, -21570, 0, -34506, 0, 45760, 0, -20328, 0, -14544, 0, -31960, 0, 12800, 0, -24264, 0, 20850, 0, 28520, 0, 6840, 0, 76708, 0, -14553, 0, 34734, 0, 47290, 0, 3000, 0, -486, 0, -37608, 0, 26426, 0, 19086, 0, 21990, 0, 125840, 0, -8676, 0, 33288, 0, -30720, 0, -2520, 0, 20064, 0, 60400, 0, -33108, 0, 19000, 0, 38110, 0, -7344, 0, 1554, 0, 8472, 0, 4986, 0, -5100, 0, 11476, 0, 10656, 0, 45770, 0, -53980, 0, 7800, 0, 55908, 0, 27562, 0, -5562, 0, -48862, 0, -12120, 0, 40992, 0, -32896, 0, 35520, 0, 21660, 0, 24385, 0, 61180, 0, -10800, 0, -19272, 0, -19686, 0, -18030, 0, -6944, 0, 81368, 0, -14460, 0, -29952, 0, -18730, 0, -12276, 0, 37924, 0, 63160, 0, 52392, 0, -3200, 0, -22272, 0, 4140, 0, -22038, 0, -1588, 0, 3240, 0, 8212, 0, -96174, 0, 15840, 0, 80562, 0, -19000, 0, 41880, 0, -22544, 0, -84864, 0, 18036, 0, 8880, 0, -32304, 0, -61164, 0, -28440, 0, 1284, 0, 20130, 0, -38380, 0, -11144, 0, -6777, 0, 34700, 0, -4750, 0, 38862, 0, -19776, 0, -46032, 0, 43560, 0, -48500, 0, 47380, 0, 8424, 0, 20400, 0, 87940, 0, 13620, 0, 2736, 0, -60446, 0, 8928, 0, 99946, 0, 20760, 0, 13914, 0, 34464, 0, -19152, 0, -10626, 0, -31810, 0, -94948, 0, 4596, 0, 22872, 0, 28690, 0, 2700, 0, -146848, 0, -34488, 0, -1008, 0, 42780, 0, 54430, 0, -6501, 0, -47952, 0, 28120, 0, -3456, 0, -27600, 0, 17274, 0, -23028, 0, 14658, 0, 73080, 0, 13140, 0, 54132, 0, 55578, 0, -9648, 0, 50602, 0, 3120, 0, 14328, 0, -6000, 0, 58346, 0, 35478, 0, 4750, 0, -6380, 0, 33786, 0, -10728, 0, -44000, 0, 4530, 0, -112350, 0, -58800, 0, -33780, 0, -11536, 0, 7440, 0, -5130, 0, -7212, 0, 31768, 0, -71760, 0, -20640, 0, 37402, 0, -29376, 0, 64704, 0, 117332, 0, 8550, 0, -44732, 0, -23126, 0, -13122, 0, 76032, 0, -5100, 0, 16872, 0, -121000, 0, -28117, 0, 1296, 0, -60010, 0, 4056, 0, -34812, 0, -22256, 0, -51462, 0, 14970, 0, 118842, 0, -135448, 0, 2916, 0, 56240, 0, 6720, 0, -23970, 0, 111066, 0, 29440, 0, -78240, 0, 32520, 0, 8052, 0, -11016, 0, 55450, 0, -114356, 0, -7500, 0, -13296, 0, -47424, 0, 41766, 0, 15138, 0, -31380, 0, -15246, 0, 23560, 0, -32622, 0, -50832, 0, -46810, 0, 34868, 0, 14832, 0, 5448, 0, -10870, 0, 5130, 0, -58464, 0, -28032, 0, 79020, 0, -29896, 0, 4190, 0, 17472, 0, 43700, 0, 28800, 0, -28206, 0, 11000, 0, 56994, 0, -28434, 0, -51148, 0, 75668, 0, 1080, 0, 24820, 0, -70734, 0, -23040, 0, 32736, 0, -34480, 0, -19584, 0, -22536, 0, 15738, 0, 6270, 0, -19785, 0, -31312, 0, -5508, 0, 127800, 0, 37810, 0, 11325, 0, 81600, 0, 5256, 0, -26364, 0, -81076, 0, 30250, 0, -24840, 0, -7168, 0, 41224, 0, 14136, 0, -5660, 0, -48096, 0, 7878, 0, -26928, 0, 125008, 0, -9090, 0, 20276, 0, -57603, 0, -87642, 0, 1812, 0, 12360, 0, 68952, 0, 18072, 0, -58518, 0, -8100, 0, -62890, 0, -103308, 0, -7704, 0, -101080, 0, -22366, 0, 1875, 0, -119758, 0, -55184, 0, -22464, 0, 51768, 0, -43700, 0, 3420, 0, 125330, 0, -10640, 0, -13416, 0, -58760, 0, 76704, 0, -16704, 0, -70390, 0, -37104, 0, 12540, 0, 39300, 0, 141200, 0, 22686, 0, -26286, 0, -36860, 0, 11880, 0, -139568, 0, 5988, 0, -26394, 0, -7200, 0, -25048, 0, -88284, 0, -149464, 0, 8042, 0, 6660, 0, -93100, 0, -52776, 0, -14580, 0, 46920, 0, 33270, 0, 9216, 0, 114650, 0, -10376, 0, 6048, 0, -3000, 0, -94432, 0, 19710, 0, 39140, 0, 102448, 0, 22200, 0, -91464, 0, 25728, 0, 32670, 0, -123182, 0, -20400, 0, 79488, 0, -41424, 0, 12240, 0, 58926, 0, 21390, 0, -164556, 0, 2052, 0, -90096, 0, 62314, 0, -18720, 0, -48630, 0, -137632, 0, 69000, 0, 107148, 0, -45370, 0, -14364, 0, -40198, 0, -166448, 0, 13680, 0, 10640, 0, 50578, 0, -58746, 0, 18352, 0, -58524, 0, 2025, 0, 141476, 0, -44654, 0, 68742, 0, -91104, 0, -22800, 0, 43272, 0, -71904, 0, -21052, 0, -35964, 0, -33410, 0, 21400, 0, -41292, 0, 44952, 0, 53394, 0, -20190, 0, 4530, 0, -101200, 0, 54810, 0, -29956, 0, 7680, 0, 23484, 0, 144114, 0, -31408, 0, -104064, 0, -35300, 0, -11424, 0, -7776, 0, -95390, 0, -137492, 0, -12360, 0, -40572, 0, -62518, 0, -3636, 0, 45600, 0, -24160, 0, -8046, 0, -40352, 0, 29376, 0, 51678, 0, 19870, 0, 29452, 0, -59280, 0, 135816, 0, -10446, 0, 5580, 0, -278300, 0, 51832, 0, -48312, 0, 40656, 0, 750, 0, 38910, 0, 12802, 0, 128960, 0, -22032, 0, 11400, 0, 48538, 0, -16800, 0, 126506, 0, -34764, 0, -13680, 0, -103792, 0, 116400, 0, 57024, 0, -126862, 0, 5560, 0, -32496, 0, 5016, 0, -4846, 0, -32688, 0, -5530, 0, 75216, 0, 3042, 0, -76152, 0, -41612, 0, -17250, 0, -49824, 0, -46856, 0, -106764, 0, 24320, 0, 52000, 0, 2187, 0, 61440, 0, 76344, 0, 2664, 0, -46400, 0, 112100, 0, -57714, 0, 24640, 0, -119780, 0, 8955, 0, -148284, 0, -88447, 0, 14688, 0, 147746, 0, -35020, 0, -12216, 0, -130632, 0, 205794, 0, -35568, 0, -5350, 0, 8880, 0, -93804, 0, -120200, 0, 66240, 0, -36750, 0, 5562, 0, -91216, 0, -38124, 0, 145788, 0, 57510, 0, -31536, 0, -58748, 0, 189728, 0, 84648, 0, 24240, 0, 36100, 0, -43848, 0, -7488, 0, 67760, 0, 40440, 0, 124308, 0, 63922, 0, 101622, 0, -126982, 0, -11400, 0, 21600, 0, 30488, 0, 149626, 0, 16398, 0, -57890, 0, -117492, 0, -10872, 0, 187680, 0, 18370, 0, 810, 0, -82622, 0, -78520, 0, 14592, 0, 24676, 0, -31810, 0, -26634, 0, 53490, 0, -24936, 0, -16902, 0, 14460, 0, 49536, 0, 28614, 0, 44544, 0, 134200, 0, 4200, 0, 40736, 0, -8076, 0, -20520, 0, -23942, 0, 55180, 0, 63024, 0, -123040, 0, 118490, 0, -31680, 0, 12240, 0, 18436, 0, -18630, 0, 57192, 0, -142652, 0, -8310, 0, -63982, 0, 144024, 0, -16212, 0, -4944, 0, -17760, 0, -20196, 0, 90800, 0, 19296, 0, -35928, 0, -13000, 0, 196986, 0, 21660, 0, -11622, 0, 105268, 0, 9270, 0, -16128, 0, 121290, 0, -48978, 0, 41778, 0, -68320, 0, 2232, 0, -151440, 0, -9791, 0, -5778, 0, -36100, 0, 324760, 0, -87120, 0, -49704, 0, -86944, 0, 18000, 0, -77046, 0, -25856, 0, 38826, 0, -55668, 0, 30050, 0, 78606, 0, 75312, 0, -5472, 0, -78624, 0, 24100, 0, 210482, 0, 57528, 0, -103062, 0, 112344, 0, 20460, 0, 13780, 0, -45696, 0, -46176, 0, 38304, 0, -87320, 0, -12312, 0, -89760, 0, 87600, 0, 5958, 0, -6900, 0, -102012, 0, 15708, 0, -10056, 0, -3990, 0, -5400, 0, -127734, 0, 38760, 0, -78132, 0, 46512, 0, -26400, 0, -63738, 0, -153920, 0, 25544, 0, -39582, 0, -69800, 0, 95904, 0, 3582, 0, -38380, 0, -37788, 0, -30060, 0, 30200, 0, 64372, 0, 4536, 0, 82752, 0, 101940, 0, 52320, 0, -146160, 0, -100550, 0, 85533, 0, -33550, 0, 47484, 0, -68598, 0, -15480, 0, -14700, 0, 11295, 0, 18944, 0, 38952, 0, -27180, 0, 97740, 0, -64770, 0, 9180, 0, 102082, 0, -221416, 0, 57000, 0, -72600, 0, 36794, 0, -100746, 0, 119092, 0, 21456, 0, -14040, 0, 16176, 0, 13584, 0, -56826, 0, -79072, 0, -22700, 0, 77160, 0, 209440, 0, 49220, 0, 21816, 0, -14880, 0, 97280, 0, -97308, 0, 185144, 0, 78658, 0, -23190, 0, 40994, 0, 99800, 0, -43893, 0, 139984, 0, 17710, 0, 58752, 0, 64226, 0, 150936, 0, 23256, 0, -7660, 0, 200650, 0, 32454, 0, -30966, 0, 28120, 0, -4500, 0, -83600, 0, -152064, 0, -25938, 0, -76542, 0, 1680, 0, 33714, 0, 104880, 0, 85696, 0, 82326, 0, 10835, 0, -3028, 0, -42348, 0, -8112, 0, 141024, 0, 5760, 0, -86118, 0, -197832, 0, -12372, 0, 172412, 0, 38380, 0, -30096, 0, -3324, 0, -10040, 0, -5832, 0, -21900, 0, 30418, 0, -38688, 0, 88464, 0, 113436, 0, 16080, 0, 68340, 0, -36654, 0, 34200, 0, 120802, 0, -23880, 0, -38640, 0, 172416, 0, -229900, 0, 3708, 0, -59130, 0, 1604, 0, -15984, 0, 83208, 0, -110390, 0, -56310, 0, 94848, 0, -72736, 0, 126300, 0, -79848, 0, -7550, 0, -36234, 0, 127642, 0, -9680, 0, -102456, 0, 56300, 0, 7200, 0, 101664, 0, -119246, 0, 70528, 0, 8550, 0, -41208, 0, -203918, 0, -53280, 0, 148026, 0, 119600, 0, -125952, 0, -11984, 0, 116928, 0, 87300, 0, 48960, 0, 101644, 0, -50160, 0, 8184, 0, 15872, 0, -14250, 0, -178062, 0, -51336, 0, -24516, 0, 75500, 0, 21870, 0, 145302, 0, -38574, 0, -256312, 0, -62088, 0, -28120, 0, -76918, 0, -37368, 0, -246574, 0, -171524, 0, -2160, 0, 108888, 0, -106441, 0, -76770, 0, -276460, 0, 58020, 0, 57258, 0, -219616, 0, -25536, 0, 56718, 0, -24950, 0, 45072, 0, -60600, 0, 254800, 0, -88238, 0, -4860, 0, -171278, 0, -12024, 0, -108948, 0, -79972, 0, 39950, 0, -137940, 0, 54720, 0, 47280, 0, -97974, 0, 130400, 0, 46938, 0, 47670, 0, 93258, 0, 80184, 0, 18360, 0, 23560, 0, -280384, 0, 49680, 0, 4518, 0, 12500, 0, 48456, 0, 256000, 0, 30192, 0, -79965, 0, -69610, 0, 86876, 0, -23652, 0, 25472, 0, 53856, 0, 25410, 0, 46026, 0, 60648, 0, -348, 0, 55596, 0, 84720, 0, -5616, 0, -231078, 0, 88880, 0, 14232, 0, -24720, 0, 90866, 0, 29664, 0, 83600, 0, 155040, 0, -8550, 0, -250396, 0, 308660, 0, -55122, 0, 57984, 0, -131700, 0, 15408, 0, 122480, 0, -9276, 0, -8154, 0, -29120, 0, -47688, 0, 39108, 0, 151848, 0, 290858, 0, 47010, 0, 50698, 0, -103536, 0, -13392, 0, -118036, 0, 47390, 0, 44400, 0, 287562, 0, 192128, 0, -45672, 0, -1800, 0, -231420, 0, 37152, 0, -153408, 0, 57616, 0, 38400, 0, 208840, 0, 37810, 0, 131382, 0, 244420, 0, 32640, 0, -15390, 0, -16400, 0]}