# Stored data for newform 2160.4.a.bh, downloaded from the LMFDB on 23 April 2024.
{"label": "2160.4.a.bh", "space_label": "2160.4.a", "level": 2160, "weight": 4, "hecke_orbit": 34, "hecke_orbit_code": 148618787770337392, "dim": 3, "is_polredabs": true, "nf_label": "3.3.1765.1", "trace_hash": 802700792662968141, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [2666, -507, 0, 1]], [11, [8044, -1272, 27, 1]]], "qexp_display": "q-5q^{5}+\\beta _{1}q^{7}+(-9-\\beta _{1}+2\\beta _{2})q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34560, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 127.44412561239973, "hecke_ring_index": 36, "level_radical": 30, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [2160, 1, [271, 1621, 2081, 1297], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 1765, "field_disc_factorization": [[5, 1], [353, 1]], "field_poly": [16, -11, -1, 1], "hecke_ring_index_factorization": [[2, 2], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.826", "prec": 17}, {"__RealLiteral__": 0, "data": "0.871", "prec": 17}, {"__RealLiteral__": 0, "data": "22.902", "prec": 20}, {"__RealLiteral__": 0, "data": "22.082", "prec": 20}, {"__RealLiteral__": 0, "data": "290.913", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1]], "trace_display": [0, 0, -15, 0], "traces": [0, 3, 0, 0, 0, -15, 0, 0, 0, 0, 0, -27, 0, -3, 0, 0, 0, 15, 0, 78, 0, 0, 0, -105, 0, 75, 0, 0, 0, 117, 0, 207, 0, 0, 0, 0, 0, -120, 0, 0, 0, 300, 0, 483, 0, 0, 0, -303, 0, -15, 0, 0, 0, -492, 0, 135, 0, 0, 0, -240, 0, -444, 0, 0, 0, 15, 0, 522, 0, 0, 0, 168, 0, -876, 0, 0, 0, -150, 0, 2103, 0, 0, 0, 42, 0, -75, 0, 0, 0, -2268, 0, 1596, 0, 0, 0, -390, 0, -1392, 0, 0, 0, -1545, 0, 1212, 0, 0, 0, -366, 0, -3096, 0, 0, 0, -117, 0, 525, 0, 0, 0, -882, 0, -720, 0, 0, 0, -375, 0, 1614, 0, 0, 0, -1209, 0, -4338, 0, 0, 0, -102, 0, 1116, 0, 0, 0, -1713, 0, -585, 0, 0, 0, -2091, 0, 5679, 0, 0, 0, -1035, 0, -3351, 0, 0, 0, -1578, 0, 2001, 0, 0, 0, -4584, 0, -3324, 0, 0, 0, -2646, 0, 0, 0, 0, 0, -3684, 0, -7494, 0, 0, 0, 600, 0, 7515, 0, 0, 0, -2970, 0, 588, 0, 0, 0, -1512, 0, 1101, 0, 0, 0, -1146, 0, -1500, 0, 0, 0, -4572, 0, -5940, 0, 0, 0, -2415, 0, -4470, 0, 0, 0, -5163, 0, 6924, 0, 0, 0, -9588, 0, 2292, 0, 0, 0, -5550, 0, 1515, 0, 0, 0, 2994, 0, -5481, 0, 0, 0, 75, 0, -4650, 0, 0, 0, -10299, 0, -7845, 0, 0, 0, 2391, 0, 11058, 0, 0, 0, 300, 0, 2460, 0, 0, 0, -16101, 0, 1254, 0, 0, 0, -675, 0, -7314, 0, 0, 0, -6054, 0, -10944, 0, 0, 0, -17520, 0, 4902, 0, 0, 0, -13206, 0, 1200, 0, 0, 0, 2133, 0, 7362, 0, 0, 0, 2220, 0, -9, 0, 0, 0, 1728, 0, -4998, 0, 0, 0, -1560, 0, -8403, 0, 0, 0, -7116, 0, -75, 0, 0, 0, -9030, 0, 4428, 0, 0, 0, -2610, 0, 21402, 0, 0, 0, -13233, 0, -7998, 0, 0, 0, -5460, 0, 72, 0, 0, 0, -4491, 0, -840, 0, 0, 0, -5940, 0, 6777, 0, 0, 0, 4380, 0, 8028, 0, 0, 0, 3360, 0, 18495, 0, 0, 0, 1839, 0, 9846, 0, 0, 0, -453, 0, 750, 0, 0, 0, -18147, 0, -21711, 0, 0, 0, -10515, 0, 9243, 0, 0, 0, 5748, 0, -1227, 0, 0, 0, -29130, 0, 29145, 0, 0, 0, -29124, 0, -210, 0, 0, 0, 12795, 0, -5982, 0, 0, 0, 375, 0, -28878, 0, 0, 0, -17028, 0, 5778, 0, 0, 0, 17556, 0, 4608, 0, 0, 0, -11568, 0, 11340, 0, 0, 0, -20166, 0, -4620, 0, 0, 0, -7980, 0, -7800, 0, 0, 0, -16338, 0, -28368, 0, 0, 0, -27084, 0, 16566, 0, 0, 0, 9603, 0, 1950, 0, 0, 0, 23088, 0, 31812, 0, 0, 0, 6960, 0, -16170, 0, 0, 0, -4536, 0, -17217, 0, 0, 0, 45384, 0, -32268, 0, 0, 0, -9585, 0, 7725, 0, 0, 0, -20883, 0, 510, 0, 0, 0, -6060, 0, 32637, 0, 0, 0, -10596, 0, -4701, 0, 0, 0, -25155, 0, -3300, 0, 0, 0, -25620, 0, 1830, 0, 0, 0, 19365, 0, 4356, 0, 0, 0, 15480, 0, -20175, 0, 0, 0, 19224, 0, 11436, 0, 0, 0, -15468, 0, 3585, 0, 0, 0, 42210, 0, 585, 0, 0, 0, 9468, 0, -32484, 0, 0, 0, -2625, 0, -12474, 0, 0, 0, 3468, 0, -12612, 0, 0, 0, -37122, 0, 42552, 0, 0, 0, -32493, 0, 4410, 0, 0, 0, 35454, 0, -29511, 0, 0, 0, 3600, 0, -8064, 0, 0, 0, -28197, 0, 3921, 0, 0, 0, 63873, 0, 29976, 0, 0, 0, 36036, 0, 1875, 0, 0, 0, -81654, 0, -24906, 0, 0, 0, -8070, 0, -21597, 0, 0, 0, -3414, 0, -60717, 0, 0, 0, -22308, 0, 10980, 0, 0, 0, 7248, 0, 6045, 0, 0, 0, 23640, 0, 4620, 0, 0, 0, 21690, 0, 20247, 0, 0, 0, 38346, 0, -42960, 0, 0, 0, 39336, 0, 9486, 0, 0, 0, 456, 0, 510, 0, 0, 0, 14052, 0, -3966, 0, 0, 0, -5580, 0, 5460, 0, 0, 0, -23055, 0, -7566, 0, 0, 0, 4170, 0, 23070, 0, 0, 0, 35805, 0, 8565, 0, 0, 0, 15738, 0, -7218, 0, 0, 0, 2925, 0, 13020, 0, 0, 0, 33609, 0, -21294, 0, 0, 0, 46992, 0, 43032, 0, 0, 0, 34221, 0, 10455, 0, 0, 0, -33648, 0, 10851, 0, 0, 0, -28395, 0, -7929, 0, 0, 0, 74262, 0, 1164, 0, 0, 0, -47856, 0, 17781, 0, 0, 0, -35838, 0, 5175, 0, 0, 0, 89520, 0, -33792, 0, 0, 0, 16755, 0, 13233, 0, 0, 0, -36810, 0, -60048, 0, 0, 0, 60240, 0, 77775, 0, 0, 0, 48414, 0, 7890, 0, 0, 0, -36576, 0, 31314, 0, 0, 0, -10005, 0, -41496, 0, 0, 0, -34926, 0, -8118, 0, 0, 0, -68910, 0, 28974, 0, 0, 0, 51999, 0, 22920, 0, 0, 0, 34698, 0, -48510, 0, 0, 0, 16620, 0, 20910, 0, 0, 0, 72714, 0, -18975, 0, 0, 0, 124950, 0, 47352, 0, 0, 0, -5019, 0, 13230, 0, 0, 0, -16107, 0, -1518, 0, 0, 0, 0, 0, 14199, 0, 0, 0, 81474, 0, 126, 0, 0, 0, 7881, 0, 22836, 0, 0, 0, -12108, 0, 18420, 0, 0, 0, 43203, 0, -46740, 0, 0, 0, 37470, 0, 27093, 0, 0, 0, 124272, 0, -80598, 0, 0, 0, -28614, 0, 62205, 0, 0, 0, 84048, 0, -3000, 0, 0, 0, 33960, 0, 6756, 0, 0, 0, -37575, 0, -26496, 0, 0, 0, -10755, 0, 30300, 0, 0, 0, -55050, 0, -18624, 0, 0, 0, 10893, 0, 14850, 0, 0, 0, 87960, 0, -7260, 0, 0, 0, -2940, 0, 36504, 0, 0, 0, -60063, 0, -68562, 0, 0, 0, 109959, 0, 34632, 0, 0, 0, 41199, 0, 7560, 0, 0, 0, -73479, 0, -14943, 0, 0, 0, -5505, 0, -20751, 0, 0, 0, 5526, 0, 35412, 0, 0, 0, -2352, 0, 7563, 0, 0, 0, -40470, 0, 5730, 0, 0, 0, 39699, 0, -68886, 0, 0, 0, 7500, 0, 13641, 0, 0, 0, -11514, 0, 3126, 0, 0, 0, 98094, 0, 118713, 0, 0, 0, 17766, 0, 22860, 0, 0, 0, 42072, 0, 11592, 0, 0, 0, 29700, 0, -69348, 0, 0, 0, -26814, 0, -79854, 0, 0, 0, 54738, 0, 94626, 0, 0, 0, 54258, 0, 12075, 0, 0, 0, 45270, 0, -61065, 0, 0, 0, 22350, 0, -65874, 0, 0, 0, 69768, 0, -97359, 0, 0, 0, 6483, 0, 56082, 0, 0, 0, 78336, 0, 25815, 0, 0, 0, -34950, 0, 31335, 0, 0, 0, -34620, 0, -4071, 0, 0, 0, 111588, 0, -53799, 0, 0, 0, -41169, 0, -36408, 0, 0, 0, -109098, 0, 47940, 0, 0, 0, 123552, 0, 12732, 0, 0, 0, -11460, 0, 57270, 0, 0, 0, -58710, 0, -17844, 0, 0, 0, 49212, 0, 66882, 0, 0, 0, -21546, 0, 27750, 0, 0, 0, -14412, 0, -40722, 0, 0, 0, -7575, 0, 32334, 0, 0, 0, -107061, 0, -45480, 0, 0, 0, 12408, 0, 42780, 0, 0, 0, 108018, 0, -14970, 0, 0, 0, 24684, 0, 9108, 0, 0, 0, 27405, 0, -102552, 0, 0, 0, 63948, 0, -32463, 0, 0, 0, 196494, 0, 61620, 0, 0, 0, 21048, 0, -375, 0, 0, 0, -43569, 0, -42942, 0, 0, 0, 23250, 0, -29892, 0, 0, 0, 96690, 0, -68697, 0, 0, 0, -27081, 0, 132792, 0, 0, 0, -33072, 0, 51495, 0, 0, 0, -42129, 0, -5484, 0, 0, 0, 39225, 0, -86934, 0, 0, 0, 115980, 0, -138510, 0, 0, 0, -164616, 0, 21033, 0, 0, 0, 25374, 0, -11955, 0, 0, 0, 97278, 0, -16686, 0, 0, 0, -55290, 0, -51450, 0, 0, 0, 38415, 0, -208890, 0, 0, 0, -163578, 0, 43098, 0, 0, 0, -915, 0, -1500, 0, 0, 0, -20298, 0, 103053, 0, 0, 0, -12300, 0, 124518, 0, 0, 0, -74973, 0, -59283, 0, 0, 0, 75192, 0, 37056, 0, 0, 0, 11847, 0, 80505, 0, 0, 0, -151440, 0, -71118, 0, 0, 0, -6270, 0, 40188, 0, 0, 0, -95190, 0, -73047, 0, 0, 0, -21603, 0, 244887, 0, 0, 0, -19770, 0, 3375, 0, 0, 0, -47460, 0, -179850, 0, 0, 0, 36570, 0, -85866, 0, 0, 0, -64626, 0, 38412, 0, 0, 0, 12174, 0, -7005, 0, 0, 0, -29754, 0, 30270, 0, 0, 0, 129264, 0, -202074, 0, 0, 0, 54720, 0, 6432, 0, 0, 0, -36663, 0, -84864, 0, 0, 0, 82386, 0, 231204, 0, 0, 0, 70767, 0, 87600, 0, 0, 0, 87642, 0, 60231, 0, 0, 0, -24510, 0, -119226, 0, 0, 0, 9549, 0, -71844, 0, 0, 0, -95397, 0, 61794, 0, 0, 0, -78708, 0, 66030, 0, 0, 0, -20223, 0, -60339, 0, 0, 0, -6000, 0, 133998, 0, 0, 0, 27870, 0, -100266, 0, 0, 0, 35424, 0, -17163, 0, 0, 0, -56304, 0, -10665, 0, 0, 0, 4776, 0, -1014, 0, 0, 0, -36810, 0, 54078, 0, 0, 0, -194964, 0, 6192, 0, 0, 0, -160200, 0, -37965, 0, 0, 0, -81396, 0, -11100, 0, 0, 0, -58554, 0, -74982, 0, 0, 0, 45, 0, 18372, 0, 0, 0, -206472, 0, 10632, 0, 0, 0, 69018, 0, 97524, 0, 0, 0, 5850, 0, -8640, 0, 0, 0, -54888, 0, -2880, 0, 0, 0, 24990, 0, -16848, 0, 0, 0, 82791, 0, 90780, 0, 0, 0, 105816, 0, 87510, 0, 0, 0, -945, 0, 7800, 0, 0, 0, -38424, 0, -81906, 0, 0, 0, 42015, 0, 56325, 0, 0, 0, 150816, 0, -157956, 0, 0, 0, -78684, 0, 231996, 0, 0, 0, -114774, 0, 35580, 0, 0, 0, -32523, 0, -40050, 0, 0, 0, 375, 0, -200571, 0, 0, 0, 194412, 0, 192, 0, 0, 0, -255558, 0, 46269, 0, 0, 0, 17412, 0, 45150, 0, 0, 0, 93822, 0, 19290, 0, 0, 0, -22140, 0, 19722, 0, 0, 0, -63411, 0, -144762, 0, 0, 0, -130158, 0, 17400, 0, 0, 0, -29820, 0, 13050, 0, 0, 0, -91950, 0, 132717, 0, 0, 0, -107010, 0, 72408, 0, 0, 0, -242460, 0, 77433, 0, 0, 0, -83703, 0, 165984, 0, 0, 0, -66387, 0, 66165, 0, 0, 0, -36042, 0, 12276, 0, 0, 0, 39990, 0, 33765, 0, 0, 0, -114024, 0, -110301, 0, 0, 0, 178269, 0, 113478, 0, 0, 0, -139692, 0, 27300, 0, 0, 0, -357810, 0, -46086, 0, 0, 0, -360, 0, -74829, 0, 0, 0, -235806, 0, -122178, 0, 0, 0, 21246, 0, 84225, 0, 0, 0, -101460, 0, 22455, 0, 0, 0, -59874, 0, -73638, 0, 0, 0, 4200, 0, 47886, 0, 0, 0, 105462, 0, 53514, 0, 0, 0, 72036, 0, 205656, 0, 0, 0, -10869, 0, 29700, 0, 0, 0, -97374, 0, 145497, 0, 0, 0, -33885, 0, -79704, 0, 0, 0, 166659, 0, -258066, 0, 0, 0, -104937, 0, 87594, 0, 0, 0, -144303, 0, -21900, 0, 0, 0, 93780, 0, -70521, 0, 0, 0, -40140, 0, -84444, 0, 0, 0, 1056, 0, -142194, 0, 0, 0, -146781, 0, -32112, 0, 0, 0, -24012, 0, -16800, 0, 0, 0, 33636, 0, -167946, 0, 0, 0, -92475, 0, 206901, 0, 0, 0, -181806, 0, -110010, 0, 0, 0, -226866, 0, 194193, 0, 0, 0, -209346, 0, -9195, 0, 0, 0, 89238, 0, -23646, 0, 0, 0, -49230, 0, -98322, 0, 0, 0, -304737, 0, -108966, 0, 0, 0, 234096, 0, 232254, 0, 0, 0, 115149, 0, 2265, 0, 0, 0, -85080, 0, -156555, 0, 0, 0, -3750, 0, 82860, 0, 0, 0, -110844, 0, -56514, 0, 0, 0, 15015, 0, 34872, 0, 0, 0, -133716, 0, 90735, 0, 0, 0, -78426, 0, -59886, 0, 0, 0, 108555, 0, 211278, 0, 0, 0, 213480, 0, -103551, 0, 0, 0, 95580, 0, -20604, 0, 0, 0, 61122, 0, 52575, 0, 0, 0, -100659, 0, -167376, 0, 0, 0, -46215, 0, -131550, 0, 0, 0, 176556, 0, -186234, 0, 0, 0, -286200, 0, 265155, 0, 0, 0, 92922, 0, -28740, 0, 0, 0, 109620, 0, 48336, 0, 0, 0, 6135, 0, -71430, 0, 0, 0, 28527, 0, 54918, 0, 0, 0, -254298, 0, -79128, 0, 0, 0, 98340, 0, 145650, 0, 0, 0, -385398, 0, 13419, 0, 0, 0, -145725, 0, -35352, 0, 0, 0, -189168, 0, -224553, 0, 0, 0, -307530, 0, 19176, 0, 0, 0, 102807, 0, 145620, 0, 0, 0, -36138, 0, -80964, 0, 0, 0, 1050, 0, -253572, 0, 0, 0, -223974, 0, 33021, 0, 0, 0, 278175, 0, -192309, 0, 0, 0, -70278, 0, -63975, 0, 0, 0, -345021, 0, -160350, 0, 0, 0, 29910, 0, 29751, 0, 0, 0, -107100, 0, -142956, 0, 0, 0, -136254, 0, 13527, 0, 0, 0, -83502, 0, -1875, 0, 0, 0, 56454, 0, 240582, 0, 0, 0, 144390, 0, -179250, 0, 0, 0, 155061, 0, 7908, 0, 0, 0, 267228, 0, 104682, 0, 0, 0, 127911, 0, 85140, 0, 0, 0, 63402, 0, -104445, 0, 0, 0, -28890, 0, -95172, 0, 0, 0, 45816, 0, -82440, 0, 0, 0, -335532, 0, 105132, 0, 0, 0, -350868, 0, -87780, 0, 0, 0, 139311, 0, 32310, 0, 0, 0, -23040, 0, -60165, 0, 0, 0, -86208, 0, 186228, 0, 0, 0, 97023, 0, 71004, 0, 0, 0, 113652, 0, 57840, 0, 0, 0, -191352, 0, -183372, 0, 0, 0, -56700, 0, 131637, 0, 0, 0, -96882, 0, -69906, 0, 0, 0, -202326, 0, 268923, 0, 0, 0, -149382, 0, 100830, 0, 0, 0, 164958, 0, 23232, 0, 0, 0, 23100, 0, -582906, 0, 0, 0, -332820, 0, -225114, 0, 0, 0, 245634, 0, -15582, 0, 0, 0, -98706, 0, 39900, 0, 0, 0, -137532, 0, 71487, 0, 0, 0, 39000, 0, 55338, 0, 0, 0, 57813, 0, -64689, 0, 0, 0, -25221, 0, 63270, 0, 0, 0, 244185, 0, 81690, 0, 0, 0, -35094, 0, 111285, 0, 0, 0, 141840, 0, 386118, 0, 0, 0, 284790, 0, -6555, 0, 0, 0, -19044, 0, 88410, 0, 0, 0, 54948, 0, 135420, 0, 0, 0, 207927, 0, -113838, 0, 0, 0, -82830, 0, 240924, 0, 0, 0, 275004, 0, -177462, 0, 0, 0, -110514, 0, 168090, 0, 0, 0, -81414, 0, -48015, 0, 0, 0, 266586, 0, -40746, 0, 0, 0, -9750, 0, -291402, 0, 0, 0, 89889, 0, 155550, 0, 0, 0, -139110, 0, 78390, 0, 0, 0, -134679, 0, -115440, 0, 0, 0, -354204, 0, -176361, 0, 0, 0, -159060, 0, 196986, 0, 0, 0, -159933, 0, -100848, 0, 0, 0, -228507, 0, 472440, 0, 0, 0, -69777, 0, -34800, 0, 0, 0, 157752, 0, 167097, 0, 0, 0, 80850, 0, 73992, 0, 0, 0, -222660, 0, -315054, 0, 0, 0, 606252, 0, 76647, 0, 0, 0, 97524, 0, 22680, 0, 0, 0, -281577, 0, -7014, 0, 0, 0, 86085, 0, 122865, 0, 0, 0, -489066, 0, -11982, 0, 0, 0, 278124, 0, -354558, 0, 0, 0, 209298, 0, -226920, 0, 0, 0, 23304, 0, -137388, 0, 0, 0, 161340, 0, 282972, 0, 0, 0, 409440, 0, 34392, 0, 0, 0, 115572, 0, -68160, 0, 0, 0, 118188, 0, 47925, 0, 0, 0, 38832, 0, 61641, 0, 0, 0, -38625, 0, -86958, 0, 0, 0, 118527, 0, 49287, 0, 0, 0, -227532, 0, 191820, 0, 0, 0, -225099, 0, 104415, 0, 0, 0, 211554, 0, -81294, 0, 0, 0, -2550, 0, 118803, 0, 0, 0, -15288, 0, 352050, 0, 0, 0, 32319, 0, -236370, 0, 0, 0, 306438, 0, 30300, 0, 0, 0, 107475, 0, -178056, 0, 0, 0, -163185, 0, -18093, 0, 0, 0, 139104, 0, -245334, 0, 0, 0, -123300, 0, 286965, 0, 0, 0, -478212, 0, 52980, 0, 0, 0, 202182, 0, -123852, 0, 0, 0, 23505, 0, -355236, 0, 0, 0, 40497, 0, -130758, 0, 0, 0, 731088, 0, 219594, 0, 0, 0, 98325, 0, 125775, 0, 0, 0, 46458, 0, 410310, 0, 0, 0, 16500, 0, 10302, 0, 0, 0, 50649, 0, 100326, 0, 0, 0, -186603, 0, -366936, 0, 0, 0, 77961, 0, 128100, 0, 0, 0, 325479, 0, 331224, 0, 0, 0, -9150, 0, 200808, 0, 0, 0, 504114, 0, -22827, 0, 0, 0, -72351, 0, 27921, 0, 0, 0, 214062, 0, -96825, 0, 0, 0, -193992, 0, -345150, 0, 0, 0, -21780, 0, -256587, 0, 0, 0, 303396, 0, 149790, 0, 0, 0, -176460, 0, -210906, 0, 0, 0, 308850, 0, -77400, 0, 0, 0, 226668, 0, -126126, 0, 0, 0, 100875, 0, -188898, 0, 0, 0, -31749, 0, 91272, 0, 0, 0, -315240, 0, 242040, 0, 0, 0, 229377, 0, -96120, 0, 0, 0, -393552, 0, 202341, 0, 0, 0, -57180, 0, 90420, 0, 0, 0, 21489, 0, 326460, 0, 0, 0, -128571, 0, 313638, 0, 0, 0, 335550, 0, 77340, 0, 0, 0, 317946, 0, 52368, 0, 0, 0, -17925, 0, 63555, 0, 0, 0, -337206, 0, -270834, 0, 0, 0, 449592, 0, -263823, 0, 0, 0, -174042, 0, -211050, 0, 0, 0, -139923, 0, 143694, 0, 0, 0, -2925, 0, -413169, 0, 0, 0, -175488, 0, -181278, 0, 0, 0, 211650, 0, -329964, 0, 0, 0, 50178, 0, -47340, 0, 0, 0, -83832, 0, 127728, 0, 0, 0, 162420, 0, 411396, 0, 0, 0, 445830, 0, 142236, 0, 0, 0, 587754, 0, 478170, 0, 0, 0, 15420, 0, 13125, 0, 0, 0, 344046, 0, 475020, 0, 0, 0, 62370, 0, 225354, 0, 0, 0, 257988, 0, 57300, 0, 0, 0, 37170, 0, -91164, 0, 0, 0, -515337, 0, -17340, 0, 0, 0, 672393, 0, -729000, 0, 0, 0, 63060, 0, 107010, 0, 0, 0, -182262, 0, -2268, 0, 0, 0, 303771, 0, -110085, 0, 0, 0, 338622, 0, 185610, 0, 0, 0, 348669, 0, -377154, 0, 0, 0, -212760, 0, 260634, 0, 0, 0, -146388, 0, 39702, 0, 0, 0, -374070, 0, 276639, 0, 0, 0, 110904, 0, 162465, 0, 0, 0, -72516, 0, 53958, 0, 0, 0, -22050, 0, -268956, 0, 0, 0, -271956, 0, -561660, 0, 0, 0, 303570, 0, 410466, 0, 0, 0, -157320, 0, -177270, 0, 0, 0, 16698, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "1080.4.a.f", "char_is_minimal": false, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-5, 0, 0], [0, 0, 0], [0, 1, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-9, -1, 2], [0, 0, 0], [-1, 2, -1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [5, -3, 5], [0, 0, 0], [26, -3, -3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-35, 1, -6], [0, 0, 0], [25, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [39, 1, -5], [0, 0, 0], [69, -1, -8], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, -5, 0], [0, 0, 0], [-40, 19, -19], [0, 0, 0], [0, 0, 0], [0, 0, 0], [100, -16, -3], [0, 0, 0], [161, 3, 10], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-101, -17, 19], [0, 0, 0], [-5, -13, 12], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-164, 8, -11], [0, 0, 0], [45, 5, -10], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-80, -30, 3], [0, 0, 0], [-148, -37, 20], [0, 0, 0], [0, 0, 0], [0, 0, 0], [5, -10, 5], [0, 0, 0], [174, 1, 36], [0, 0, 0], [0, 0, 0], [0, 0, 0], [56, 52, -17], [0, 0, 0], [-292, -11, 27], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-50, 4, 14], [0, 0, 0], [701, 10, 3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [14, 26, -53], [0, 0, 0], [-25, 15, -25], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-756, 30, 13], [0, 0, 0], [532, -27, 11], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-130, 15, 15], [0, 0, 0], [-464, -3, 29], [0, 0, 0], [0, 0, 0], [0, 0, 0]]}