# Stored data for newform 306.4.a.g, downloaded from the LMFDB on 13 May 2024.
{"label": "306.4.a.g", "space_label": "306.4.a", "level": 306, "weight": 4, "hecke_orbit": 7, "hecke_orbit_code": 27021597831332146, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1939226097244000435, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-5, 1]]], "qexp_display": "q+2q^{2}+4q^{4}+5q^{5}-2^{5}q^{7}+8q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4896, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 18.05458446175663, "hecke_ring_index": 1, "level_radical": 102, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [306, 1, [137, 37], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 17], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.876", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.592", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [17, -1]], "trace_display": [2, 0, 5, -32], "traces": [0, 1, 2, 0, 4, 5, 0, -32, 8, 0, 10, -27, 0, -69, -64, 0, 16, 17, 0, -83, 20, 0, -54, 117, 0, -100, -138, 0, -128, -94, 0, 198, 32, 0, 34, -160, 0, -244, -166, 0, 40, -169, 0, 227, -108, 0, 234, 382, 0, 681, -200, 0, -276, -686, 0, -135, -256, 0, -188, -450, 0, -700, 396, 0, 64, -345, 0, 540, 68, 0, -320, 276, 0, -298, -488, 0, -332, 864, 0, -182, 80, 0, -338, -282, 0, 85, 454, 0, -216, 1468, 0, 2208, 468, 0, 764, -415, 0, -1140, 1362, 0, -400, 1400, 0, 1939, -552, 0, -1372, -39, 0, -428, -270, 0, -512, -715, 0, 585, -376, 0, -900, -544, 0, -602, -1400, 0, 792, -1125, 0, 797, 128, 0, -690, -373, 0, 2656, 1080, 0, 136, 2706, 0, -2086, -640, 0, 552, 1863, 0, -470, -596, 0, -976, 1446, 0, -744, -664, 0, 1728, 990, 0, 207, -364, 0, 160, -3744, 0, -1746, -676, 0, -564, 1153, 0, 2564, 170, 0, 908, 3521, 0, 3200, -432, 0, 2936, -2646, 0, -1454, 4416, 0, 936, -1220, 0, -459, 1528, 0, -830, -3730, 0, -2478, -2280, 0, 2724, 2141, 0, -580, -800, 0, 2800, 3008, 0, -845, 3878, 0, -1104, 2241, 0, -3826, -2744, 0, -78, 1135, 0, -6336, -856, 0, -540, -1173, 0, -1759, -1024, 0, -1430, -341, 0, 3958, 1170, 0, -752, -3009, 0, 1910, -1800, 0, -1088, -3464, 0, 156, -1204, 0, -2800, 3405, 0, 5727, 1584, 0, -2250, 4464, 0, -3159, 1594, 0, 256, -5544, 0, 7808, -1380, 0, -746, -612, 0, -3430, 5312, 0, 2160, -5601, 0, -5851, 272, 0, 5412, 2700, 0, -5138, -4172, 0, -1280, -7608, 0, 8474, 1104, 0, 3726, 5408, 0, 289, -940, 0, -1192, -7672, 0, -2250, -1952, 0, 2892, -8073, 0, -7264, -1488, 0, -1328, -3500, 0, -3396, 3456, 0, 1980, -6480, 0, -4940, 414, 0, -728, 3998, 0, 2538, 320, 0, -7488, -1411, 0, 6900, -3492, 0, -1352, -12224, 0, 2105, -1128, 0, 2306, 2700, 0, 7818, 5128, 0, 340, -5346, 0, -10816, 1816, 0, 7042, 1388, 0, -9591, 6400, 0, -864, 1442, 0, 1380, 5872, 0, -5292, -4104, 0, 30, -2908, 0, 8832, -1490, 0, 3904, 1872, 0, -2440, 21952, 0, 4882, -918, 0, 3056, 6486, 0, -10324, -1660, 0, -7460, 10480, 0, 4320, -4956, 0, -4560, 9724, 0, 1989, 5448, 0, 4282, -910, 0, -14632, -1160, 0, -1600, 8907, 0, -13662, 5600, 0, 6016, 6588, 0, -4859, -1690, 0, 7756, 14400, 0, -1410, -2208, 0, 4482, 444, 0, 14731, -7652, 0, -5488, -1700, 0, 22400, -156, 0, 2270, 9968, 0, 1167, -12672, 0, -1712, -9711, 0, 16532, -1080, 0, -2346, -10398, 0, 7340, -3518, 0, -2048, -4922, 0, 4563, -2860, 0, -682, 11040, 0, 4573, 7916, 0, 2340, 13586, 0, -4120, -1504, 0, -6018, 174, 0, -17280, 3820, 0, -3600, -6129, 0, 8300, -2176, 0, -6928, -18311, 0, 16836, 312, 0, -2408, -5700, 0, 6766, -5600, 0, 6810, 13846, 0, -1598, 11454, 0, 3168, -8832, 0, -5854, -4500, 0, 8928, 883, 0, 7000, -6318, 0, 3188, -6748, 0, 9536, 512, 0, -11088, 9695, 0, -10314, 15616, 0, -2760, 9263, 0, 3868, -1492, 0, -1224, 3366, 0, 1522, -6860, 0, 10624, 11661, 0, -195, 4320, 0, -11202, -18387, 0, -6840, -11702, 0, 544, -2140, 0, -5564, 10824, 0, 5400, 7802, 0, 5824, -10276, 0, -8344, -1618, 0, -15663, -2560, 0, -15216, 21050, 0, -3575, 16948, 0, 2208, -26484, 0, -10996, 7452, 0, 10816, -11700, 0, 16089, 578, 0, -1880, 9024, 0, 18522, -2384, 0, -15344, -5700, 0, -16434, -4500, 0, -3904, -3474, 0, -2720, 5784, 0, -16146, 12710, 0, 8806, -14528, 0, -2976, -3010, 0, 6022, -2656, 0, -7000, -26358, 0, -2337, -6792, 0, 6912, -23082, 0, -20510, 3960, 0, -12960, -46976, 0, 6875, -9880, 0, 828, -4148, 0, 29453, -1456, 0, 7996, 3985, 0, -46989, 5076, 0, 640, 4045, 0, -30188, -14976, 0, -2822, 28246, 0, 12150, 13800, 0, -6984, 1301, 0, -1865, -2704, 0, -24448, 6450, 0, 12445, 4210, 0, -2256, 13280, 0, -10998, 4612, 0, 5400, 18900, 0, 5566, 15636, 0, 10256, 33539, 0, 36480, 680, 0, -10692, -29517, 0, 13530, -21632, 0, 3632, 47334, 0, 1684, 14084, 0, 2776, -10430, 0, -2873, -19182, 0, 12800, -34152, 0, 20252, -1728, 0, 2884, -44800, 0, 7994, 2760, 0, 11744, 23166, 0, 9315, -10584, 0, -8208, -22713, 0, -62048, 60, 0, -5816, 9400, 0, 21712, 17664, 0, -2980, 3859, 0, -5430, 7808, 0, 3744, -14580, 0, -30723, -4880, 0, 43904, -28096, 0, 7230, 9764, 0, -1836, 1248, 0, -5458, 6112, 0, 12972, -3720, 0, -24319, -20648, 0, -3320, -2126, 0, 13696, -14920, 0, 20960, 31050, 0, -2503, 8640, 0, -9912, -36780, 0, -19800, -9120, 0, 19448, 14027, 0, -7452, 3978, 0, 10896, 1035, 0, 7356, 8564, 0, -1820, 22880, 0, 48300, -29264, 0, -2320, 19672, 0, 6494, -3200, 0, 17814, 8046, 0, -18720, -27324, 0, 11200, -18713, 0, 16062, 12032, 0, 13176, -8730, 0, -18841, -9718, 0, -3380, 19653, 0, -3276, 15512, 0, 28800, 11491, 0, 3606, -2820, 0, -4416, 11577, 0, 5765, 8964, 0, 888, 36027, 0, -15553, 29462, 0, -15304, 12820, 0, 19264, -10976, 0, -3400, -28548, 0, -31078, 44800, 0, -312, 22106, 0, 23924, 4540, 0, 19936, -31860, 0, 17605, 2334, 0, -25344, 4914, 0, -37260, -3424, 0, -19422, 36000, 0, 34122, 33064, 0, -2160, 48062, 0, 6185, -4692, 0, -20796, 41835, 0, -25504, 14680, 0, -7036, -31706, 0, -13230, -4096, 0, -9844, -18612, 0, -11662, 9126, 0, -5720, -7270, 0, -12174, -1364, 0, 22080, 24089, 0, 7614, 9146, 0, 15832, 11936, 0, -55163, 4680, 0, 27172, -19044, 0, 24400, -8240, 0, -3008, -19555, 0, -56523, -12036, 0, 348, -2295, 0, 10066, -34560, 0, 7640, 10998, 0, -19773, -7200, 0, -12258, 2268, 0, 20562, 16600, 0, -4352, -23876, 0, -18650, -13856, 0, -36622, -86592, 0, 9413, 33672, 0, 624, -12390, 0, -12113, -4816, 0, -11400, 1190, 0, 66752, 13532, 0, -11200, -10474, 0, -39636, 13620, 0, 27692, 48259, 0, 10705, -3196, 0, 22908, 26559, 0, 37256, 6336, 0, -17664, -2900, 0, 17830, -11708, 0, -9000, -59616, 0, -7650, 17856, 0, 1766, 56938, 0, -52968, 14000, 0, -12636, -6294, 0, 15040, 6376, 0, -13496, -57962, 0, -6071, 19072, 0, 1024, 16900, 0, 12558, -22176, 0, 19390, -37171, 0, 54115, -20628, 0, 31232, -11900, 0, 16541, -5520, 0, 18526, -46272, 0, 11205, 7736, 0, -2984, 36281, 0, 48520, -2448, 0, 6732, -19130, 0, 23808, 3044, 0, -13720, -297, 0, 14843, 21248, 0, 23322, 30780, 0, -1237, -390, 0, 8640, 22936, 0, -22700, -22404, 0, -36774, 19458, 0, 44694, -13680, 0, -23404, -31680, 0, -58221, 1088, 0, -4280, -44684, 0, 16238, -11128, 0, 21648, -4116, 0, -6624, 10800, 0, 15604, 1734, 0, -5865, 11648, 0, -20552, 58586, 0, -37800, -16688, 0, -3236, -8795, 0, 19730, -31326, 0, -5120, 37350, 0, -27569, -30432, 0, 42100, 79677, 0, -28062, -7150, 0, 33896, -52353, 0, -1705, 4416, 0, -52968, 9180, 0, 55872, -21992, 0, 14904, 19790, 0, -48312, 21632, 0, -23400, 8700, 0, 52598, 32178, 0, 1156, -101292, 0, 58100, -3760, 0, 18048, 9596, 0, -15045, 37044, 0, -4768, -36896, 0, -34147, -30688, 0, -11400, -38200, 0, 1053, -32868, 0, -9000, -24756, 0, -82048, -7808, 0, -6948, 55767, 0, 15886, -5440, 0, 11568, 25578, 0, -17320, -32292, 0, 25420, 11556, 0, -65698, 17612, 0, -29056, 780, 0, 4692, -5952, 0, -6020, -112672, 0, 54428, 12044, 0, -5312, -12642, 0, -80262, -14000, 0, -52716, 57066, 0, -68100, -4674, 0, -13584, 1959, 0, -14720, 13824, 0, -46164, 28635, 0, 61069, -41020, 0, 7920, -5066, 0, 19305, -25920, 0, -93952, -21338, 0, 20937, 13750, 0, -19760, 84672, 0, 22320, 1656, 0, -8296, 23608, 0, 78660, 58906, 0, -2912, -15795, 0, 46528, 15992, 0, 7970, -33462, 0, -44820, -93978, 0, 10152, 32470, 0, 18704, 1280, 0, 8090, 38120, 0, -27720, -60376, 0, -29952, -55585, 0, 16252, -5644, 0, 56492, 39040, 0, -25166, 24300, 0, 27600, 28974, 0, 39230, -13968, 0, 2602, 11016, 0, 14688, -3730, 0, -5408, -96600, 0, -3060, -48896, 0, 12900, -19413, 0, -65116, 24890, 0, 8420, 68600, 0, 34419, -4512, 0, 26560, 52191, 0, 44946, -21996, 0, 9224, 119360, 0, -133791, 10800, 0, 37800, -3094, 0, -28005, 11132, 0, 31272, -22908, 0, 79296, 20512, 0, 67078, -29255, 0, -52650, 72960, 0, 1360, 36744, 0, -35908, -21384, 0, -59034, -39945, 0, 8883, 27060, 0, -43264, 17172, 0, 30375, 7264, 0, 94668, -68512, 0, -12667, 3368, 0, 28168, -25690, 0, 24734, 5552, 0, -20860, 2691, 0, 18560, -5746, 0, -38364, -21519, 0, 76524, 25600, 0, -68304, -81900, 0, -38040, 40504, 0, -3456, -41504, 0, -4794, 5768, 0, -89600, 42370, 0, 29532, 15988, 0, 5520, -64014, 0, 65542, 23488, 0, 46332, 92426, 0, -40610, 18630, 0, -21168, -42335, 0, 27040, -16416, 0, -45426, -1987, 0, 10071, -124096, 0, 120, 1445, 0, -67153, -11632, 0, 18800, 46840, 0, -389, 43424, 0, 35328, 75636, 0, 36910, -5960, 0, 7718, -71712, 0, -38360, -10860, 0, 15616, 49335, 0, 95148, 7488, 0, -29160, 45000, 0, 122432, -61446, 0, -9760, -14254, 0, 40376, 87808, 0, -56192, -84338, 0, -94796, 14460, 0, 19528, -68897, 0, -40365, -3672, 0, 2496, 78273, 0, 15106, -10916, 0, 12224, -36320, 0, -73062, 25944, 0, -7440, 46128, 0, 24956, -48638, 0, -41296, 41236, 0, 134838, -6640, 0, -4252, 1933, 0, 70000, 27392, 0, -29840, 56322, 0, 63644, 41920, 0, 62100, -16980, 0, 64484, -5006, 0, 17280, 63180, 0, 18737, -19824, 0, -73560, 37536, 0, -21985, -39600, 0, -18240, 43521, 0, -32400, 38896, 0, 28054, -7627, 0, 56288, -14904, 0, 7956, -24700, 0, 25342, 21792, 0, 2070, 5523, 0, 41538, 14712, 0, 17128, 23406, 0, -26665, -3640, 0, 45760, 33600, 0, 19990, 96600, 0, -58528, 10912, 0, -55388, -4640, 0, 39344, 12690, 0, 62893, 12988, 0, -6400, 29366, 0, -126656, 35628, 0, 16092, -48084, 0, -67176, -37440, 0, -54648, 26938, 0, -7055, 22400, 0, -37426, -43368, 0, 43960, 32124, 0, 24064, 77625, 0, -56944, 26352, 0, -17460, 96288, 0, 32292, -37682, 0, -19436, -51723, 0, -39042, -6760, 0, 39306, -135828, 0, -61120, -6552, 0, 31024, -19380, 0, -54993, 57600, 0, 22982, 10525, 0, 17614, 7212, 0, -5640, 20088, 0, -77470, -8832, 0, 23154, 30224, 0, -105420, 11530, 0, 17928, 110848, 0, -54000, 1776, 0, 72054, -34866, 0, -40360, -31106, 0, 58924, 39090, 0, -4992, -30608, 0, 25640, -121844, 0, 78160, 38528, 0, -21952, 25075, 0, -91279, -6800, 0, -57096, 25737, 0, -26730, -62156, 0, 89600, -61514, 0, 42300, -624, 0, 44212, -54080, 0, 23800, 47848, 0, 9080, 16516, 0, 62908, 39872, 0, -63720, -5589, 0, -183264, 35210, 0, 4668, 41538, 0, 6940, -50688, 0, 9828, -93208, 0, -90888, -74520, 0, -6848, -47955, 0, 38659, -38844, 0, 72000, 32963, 0, 64199, 68244, 0, 66128, -142848, 0, 85160, -4320, 0, 96124, -38363, 0, 7210, 12370, 0, -9384, 65800, 0, 101088, -41592, 0, 83670, -27600, 0, -10202, -51008, 0, 29360, -186714, 0, -75367, -14072, 0, -63412, -75248, 0, -105119, -26460, 0, -8192, 47142, 0, -20520, -19688, 0, -37224, 177408, 0, -118419, -23324, 0, 18252, 150, 0, 143934, -11440, 0, -14540, -114628, 0, -166164, -24348, 0, -2728, -21294, 0, -663, 44160, 0, 48178, 47628, 0, 29800, 15228, 0, 18292, -89100, 0, -24902, 31664, 0, 23872, 19520, 0, -31131, -110326, 0, 9360, 19584, 0, 94620, 54344, 0, -38088, -121896, 0, -27978, 48800, 0, -16480, -7276, 0, 109760, -6016, 0, -39110, -69228, 0, 17926, -113046, 0, -24072, 24410, 0, -53950, 696, 0, -4590, -30676, 0, -54502, 20132, 0, -69120, 24462, 0, -113475, 15280, 0, 21996, 179232, 0, 32430, -39546, 0, -14400, 12920, 0, -138600, -24516, 0, 4536, -51620, 0, 187232, 41124, 0, 33200, -146859, 0, -95067, -8704, 0, -47752, 16029, 0, -32994, -37300, 0, -27712, 51518, 0, 52400, -73244, 0, -173184, -116200, 0, -12155, 18826, 0, 67344, -86400, 0, -64558, 1248, 0, -24780, 29635, 0, -48888, -24226, 0, -9632, -99774, 0, 164416, -22800, 0, 2380, -50760, 0, 48620, 133504, 0, 27064, -62775, 0, 4864, -22400, 0, -20948, 9945, 0, -160937, -79272, 0, 27240, 167384, 0, 51336, 55384, 0, 96518, 243456, 0, 71442, 21410, 0, -6392, 56284, 0, 18200, 45816, 0, 53118, 46233, 0, -271168, 74512, 0, 12672, -73160, 0, 44276, -35328, 0, -5800, 39258, 0, -87023, 35660, 0, -23416, 37044, 0, 128084, -18000, 0, -119232, -41183, 0, 44535, -15300, 0, 35712, -115089, 0, -86288, 3532, 0, 113876, -68310, 0, -57014, -105936, 0, 28000, 86714, 0, -9248, -25272, 0, -12588, -44878, 0, -37396, 30080, 0, 12752, 3237, 0, 32940, -26992, 0, -115924, 312, 0, -14283, -12142, 0, 38144, -24295, 0, 171756, 2048, 0, 33800, 245504, 0, -55038, 25116, 0, -44352, -10234, 0, -25944, 38780, 0, -74342, -61700, 0, 72000, 108230, 0, -41256, -167590, 0, 35524, 62464, 0, -23800, 28200, 0, 106920, 33082, 0, -11040, -139007, 0, 59537, 37052, 0, -92544, 111616, 0, -81785, 22410, 0, 15472, 258336, 0, 2220, -5968, 0, 72562, 112866, 0, 100710, 97040, 0, -4896, 73655, 0, 154587, 13464, 0, -38260, -71953, 0, -180348, 47616, 0, 6088, 28012, 0, 120474, -27440, 0, -594, 66906, 0, -19125, 29686, 0, 42496, -83404, 0, 57638, 46644, 0, 61560, 112000, 0, 190966, -2474, 0, -780, -136014, 0, -90979, 17280, 0, 45872, 59345, 0, 108672, -45400, 0, -44808, -33126, 0, 49840, -73548, 0, 38916, 13549, 0, 56235, 89388, 0, -27360, 5835, 0, -57807, -46808, 0, -63360, -79557, 0, 115934, -116442, 0, 2176, 207360, 0, -33402, -8560, 0, -89368, 109800, 0, -48555, 32476, 0, -22256, 15660, 0, 158080, 43296, 0, -8232, 82660, 0, -25323, -13248, 0, 21600, 54648, 0, -151962, 31208, 0, 3468, 5296, 0, 42101, -11730, 0, 23296, 85739, 0, -51990, -41104, 0, 117172, -127936, 0, -113000, -75600, 0, -33376, -146800, 0, -6341, -6472, 0, -17590, -133380, 0, -81216, 39460, 0, -62652, -39865, 0, 199150, -10240, 0, 74700, -95674, 0, -24610, -55138, 0, -60864, -242949, 0, 128128, 84200, 0, 159354, 22815, 0, 170800, -56124, 0, -14300, 45152, 0, -59004, 67792, 0, -104706, -87443, 0, 111669, -3410, 0, 8832, -77547, 0, -220800, -105936, 0, 18360, -155722, 0, 103034, 111744, 0, -43984, 22865, 0, -9669, 29808, 0, 39580, 17108, 0, -66383, -96624, 0, 43264, -81644, 0, 49966, -46800, 0, 17400, 260142, 0, 67930, 105196, 0, 64356, 165013, 0, 37953, 2312, 0, -202584, -20600, 0, -67360, 116200, 0, -7520, 103302, 0, 163800, 36096, 0, 19192, 182574, 0, 46002, -30090, 0, 74088, -39208, 0, 870, -9536, 0, -73792, 20117, 0, 18862, -68294, 0, -61376, -86400, 0, -128171, -22800, 0, -76400, -103979, 0, 100326, 2106, 0, -65736, 98706, 0, -250176, -18000, 0, -49512, -35462, 0, -30645, -164096, 0, -15616, 226863, 0, -91721, -13896, 0, 111534, 93375, 0, -10524, 31772, 0, -10880, -35196, 0, 108182, 23136, 0, 51156, 171072, 0, 82963, -34640, 0, -64584, 52932, 0, -91555, 50840, 0, 23112, -186044, 0, 112529, -131396, 0, 35224, 84180, 0, 26508, -58112, 0, 1560, 77452, 0, -66151, 9384, 0, -11904, 7905, 0, 76050, -12040, 0, -225344, 218714, 0, 114000, 108856, 0, 24088, -44416, 0, 31671, -10624, 0, -25284, 33830, 0, -110024, -160524, 0, -28000, -135877, 0, 306912, -105432, 0, 114132, 19272, 0, -36036, -136200, 0, -9348, 47493, 0, 69230, -27168, 0, 3918, -19004, 0, -4563, -29440, 0, 27648, -7990, 0, -57353, -92328, 0, 57270, -46144, 0, -110223, 122138, 0, -82040, 20211, 0, -131760, 15840, 0, -10132, 257370, 0, -44160, 38610, 0, -51840, 30959, 0, -262052, -187904, 0, -42676, -29270, 0, 9207, 41874, 0, 27500, 118300, 0, -158956, -39520, 0, 169344, -50076, 0, 170982, 44640, 0, 3312, 131328, 0, 4415, -16592, 0, 47216, -106866, 0, -93068, 157320, 0, 117812, -140000, 0, -960, -5824, 0, -31590, 52436, 0, 24582, 93056, 0, 31984, -102150, 0, -198656, 15940, 0, -66924, 111923, 0, -33740, -89640, 0, -187956, 203388, 0, 156608, 20304, 0, 64940, 47680, 0, -36464, 37408, 0, 2560, -147729, 0, 81243, 16180, 0, 76240, -12648, 0, -124928, -55440, 0, -120752, -55836, 0, -193900, -59904, 0, -111170, -61149, 0, -137992, 32504, 0, -11288, -51570, 0, 40020, 112984, 0, 78080, 243132, 0, 64239, -50332, 0, 48600, -467166, 0, -83655, 55200, 0, 57948, -224598, 0, 46315, 78460, 0, -27936, 94430, 0, -156224, 5204, 0, 22032, 19340, 0, -71215, 29376, 0, -7460, 23217, 0, -158900, -10816, 0, -193200, -67344, 0, 93528, -6120, 0, -97792, -65428, 0, 16830, 25800, 0, -38826, -207552, 0, 173138, -130232, 0, 49780, 7610, 0, 139616, 16840, 0, 137200, -4212, 0, 330368, 68838, 0, -9024, -175179, 0, 129034, 53120, 0, 104382, -154031, 0, 58305, 89892, 0, -43992, 3519, 0, 1255, 18448, 0, 238720, 3900, 0, -65354, -267582, 0, 21600, -335360, 0, 79676, 75600, 0, -6188, 57144, 0, -225090, -56010, 0, 22264, 37935, 0, -91935, 62544, 0, -45816, 143676, 0, 72712, 158592, 0, 41024, -34200, 0, -191331, 134156, 0, -58510, 89070, 0, -114564, -105300, 0, 145920, -154629, 0, -35960, 2720, 0, 73488, -311168, 0, 42800, -71816, 0, -42768, 162414, 0, -187796, -118068, 0, -79890, -27820, 0, -63648, 17766, 0, 54120, 161718, 0, 263994, -86528, 0, 34344, -91260, 0, -259948, 60750, 0, 14528, -151672, 0, 39010, 189336, 0, -137024, 290664, 0, -120528, -25334, 0, 6736, 29120, 0, 823, 56336, 0, -51380, -29682, 0, -171900, 49468, 0, 11104, 268722, 0, 468224, -41720, 0, 5382, -70434, 0, -8090, 37120, 0, -11492, 147194, 0, 14334, -76728, 0, -43038, -78315, 0, -105674, 153048, 0, 51200, -193084, 0, 114775, -136608, 0, -163800, -285024, 0, 321719, -76080, 0, 81008, 107160, 0, 105250, -6912, 0, -83008, -63775, 0, 437184, -9588, 0, 11536, 71500, 0, 149688, -179200, 0, 84740, -120018, 0, -138796, 59064, 0, 31976, 114294, 0, 19601, 11040, 0, -128028, 79708, 0, -132420, 131084, 0, 46976, -210816, 0, 153380, 92664, 0, 184852, -54980, 0, 236345, -81220, 0, 37260, -14842, 0, 155488, -42336, 0, -84670, -267400, 0, 61752, 54080, 0, -32832, 43588, 0, -131625, -90852, 0, -3974, 24237, 0, 122580, 20142, 0, -248192, 80445, 0, -274466, 240, 0, 2890, -306450, 0, 16524, -134306, 0, -23264, -46835, 0, 121371, 37600, 0, 93680, 117150, 0, 45120, -778, 0, 86848, 184002, 0, -46644, 70656, 0, 151272, 92610, 0, -191694, 73820, 0, -11920, 93249, 0, 44408, 15436, 0, -143424, 185391, 0, -131600, -76720, 0, -21720, -14208, 0, -28500, 31232, 0, 98670, -208930, 0, 59857, 190296, 0, 14976, -82170, 0, -471392, -58320, 0, 90000, 23529, 0, -65504, 244864, 0, -122892, -45260, 0, 151227, -19520, 0, -28508, -43512, 0, -17370, 80752, 0, 175616, 18111, 0, 41467, -112384, 0, -168676, 54400, 0, -273102, -189592, 0, 28920, 157977, 0, -17181, 39056, 0, -137794, -182266, 0, -476700, -80730, 0, -7344, 50362, 0, 63550, 4992, 0, 156546, -109629, 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": "102.4.a.b", "char_is_minimal": true, "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], [1], [2], [0], [4], [5], [0], [-32], [8], [0], [10], [-27], [0], [-69], [-64], [0], [16], [17], [0], [-83], [20], [0], [-54], [117], [0], [-100], [-138], [0], [-128], [-94], [0], [198], [32], [0], [34], [-160], [0], [-244], [-166], [0], [40], [-169], [0], [227], [-108], [0], [234], [382], [0], [681], [-200], [0], [-276], [-686], [0], [-135], [-256], [0], [-188], [-450], [0], [-700], [396], [0], [64], [-345], [0], [540], [68], [0], [-320], [276], [0], [-298], [-488], [0], [-332], [864], [0], [-182], [80], [0], [-338], [-282], [0], [85], [454], [0], [-216], [1468], [0], [2208], [468], [0], [764], [-415], [0], [-1140], [1362], [0], [-400]]}