# Stored data for newform 810.4.a.v, downloaded from the LMFDB on 16 May 2024.
{"label": "810.4.a.v", "space_label": "810.4.a", "level": 810, "weight": 4, "hecke_orbit": 22, "hecke_orbit_code": 94575592241890090, "dim": 4, "is_polredabs": true, "trace_hash": 1023384555153601126, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-50852, 12355, -447, -23, 1]], [11, [-63252, 79236, -2046, -39, 1]]], "qexp_display": "q+2q^{2}+4q^{4}+5q^{5}+(6+\\beta _{1})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12960, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 47.7915471046499, "hecke_ring_index": 27, "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": 0, "analytic_rank_proved": true, "char_values": [810, 1, [731, 487], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 131110740, "field_disc_factorization": [[2, 2], [3, 2], [5, 1], [29, 1], [25117, 1]], "field_poly": [2520, 51, -101, -1, 1], "hecke_ring_index_factorization": [[3, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.080", "prec": 17}, {"__RealLiteral__": 0, "data": "3.876", "prec": 17}, {"__RealLiteral__": 0, "data": "0.265", "prec": 17}, {"__RealLiteral__": 0, "data": "44.333", "prec": 20}, {"__RealLiteral__": 0, "data": "2.135", "prec": 17}, {"__RealLiteral__": 0, "data": "795.251", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, -1]], "trace_display": [8, 0, 20, 23], "traces": [0, 4, 8, 0, 16, 20, 0, 23, 32, 0, 40, 39, 0, 56, 46, 0, 64, 81, 0, 83, 80, 0, 78, 75, 0, 100, 112, 0, 92, 183, 0, 218, 128, 0, 162, 115, 0, 146, 166, 0, 160, 204, 0, 167, 156, 0, 150, 459, 0, 51, 200, 0, 224, 684, 0, 195, 184, 0, 366, 429, 0, 491, 436, 0, 256, 280, 0, 140, 324, 0, 230, 120, 0, -103, 292, 0, 332, 1404, 0, -412, 320, 0, 408, 1503, 0, 405, 334, 0, 312, 1173, 0, 814, 300, 0, 918, 415, 0, -343, 102, 0, 400, 1410, 0, -1822, 448, 0, 1368, 3102, 0, -1021, 390, 0, 368, 2610, 0, 375, 732, 0, 858, 492, 0, 289, 982, 0, 872, 500, 0, -1951, 512, 0, 560, 2226, 0, -4490, 280, 0, 648, 6123, 0, -1927, 460, 0, 240, 3240, 0, 915, -206, 0, 584, 1311, 0, -316, 664, 0, 2808, 1090, 0, -5434, -824, 0, 640, 4917, 0, -7870, 816, 0, 3006, 8133, 0, -2148, 810, 0, 668, 2130, 0, 575, 624, 0, 2346, -4878, 0, -2737, 1628, 0, 600, 730, 0, -7161, 1836, 0, 830, 1752, 0, -7729, -686, 0, 204, 10824, 0, -712, 800, 0, 2820, -3867, 0, 1020, -3644, 0, 896, -4065, 0, -6742, 2736, 0, 6204, 835, 0, -13130, -2042, 0, 780, 5748, 0, -13477, 736, 0, 5220, 5721, 0, 4613, 750, 0, 1464, -10797, 0, 2295, 1716, 0, 984, -14022, 0, -5896, 578, 0, 1964, 255, 0, -9824, 1744, 0, 1000, 369, 0, -4146, -3902, 0, 1024, 1347, 0, 9520, 1120, 0, 4452, -12750, 0, 3420, -8980, 0, 560, -6663, 0, -14152, 1296, 0, 12246, 975, 0, -6532, -3854, 0, 920, -3675, 0, -9325, 480, 0, 6480, -8979, 0, 15121, 1830, 0, -412, -18468, 0, 2145, 1168, 0, 2622, -19914, 0, -5552, -632, 0, 1328, 2455, 0, 4436, 5616, 0, 2180, -8754, 0, 5591, -10868, 0, -1648, -696, 0, 15816, 1280, 0, 9834, -15603, 0, 1400, -15740, 0, 1632, -8655, 0, -16390, 6012, 0, 16266, 700, 0, 11861, -4296, 0, 1620, -17754, 0, -9833, 1336, 0, 4260, -4383, 0, 23405, 1150, 0, 1248, -22707, 0, 600, 4692, 0, -9756, -10860, 0, 11253, -5474, 0, 3256, -515, 0, 9326, 1200, 0, 1460, -4542, 0, 3248, -14322, 0, 3672, 6240, 0, 9221, 1660, 0, 3504, -4554, 0, 7020, -15458, 0, -1372, 2643, 0, -16806, 408, 0, 21648, -2060, 0, 12038, -1424, 0, 1600, -13461, 0, -19436, 5640, 0, -7734, -5016, 0, 20027, 2040, 0, -7288, 2214, 0, 7515, 1792, 0, -8130, -3666, 0, 4352, -13484, 0, 5472, 2025, 0, 6511, 12408, 0, 1670, 3258, 0, -18067, -26260, 0, -4084, 20664, 0, 242, 1560, 0, 11496, 10092, 0, 5865, -26954, 0, 1472, -18801, 0, -34461, 10440, 0, 11442, 4070, 0, 8765, 9226, 0, 1500, -10209, 0, -52366, 2928, 0, -21594, 22341, 0, 41575, 4590, 0, 3432, -16119, 0, 2075, 1968, 0, -28044, 1356, 0, 2044, -11792, 0, 1156, -1715, 0, -20800, 3928, 0, 510, 27537, 0, -40872, -19648, 0, 3488, 25368, 0, 9239, 2000, 0, 738, -19977, 0, 7050, -8292, 0, -7804, -11595, 0, -32036, 2048, 0, 2694, -9110, 0, -11244, 19040, 0, 2240, 15330, 0, -29341, 8904, 0, -25500, -9690, 0, 59023, 6840, 0, -17960, -20148, 0, 15510, 1120, 0, -13326, 19893, 0, -21349, -28304, 0, 2592, -5105, 0, -20038, 24492, 0, 1950, 30150, 0, -9362, -13064, 0, -7708, -9018, 0, 11308, 1840, 0, -7350, -4278, 0, 13050, -18650, 0, 960, -19005, 0, -51097, 12960, 0, -17958, 1875, 0, 45455, 30242, 0, 3660, -5565, 0, -15690, -824, 0, -36936, 11214, 0, 87154, 4290, 0, 2336, -34380, 0, 2460, 5244, 0, -39828, 21678, 0, -13375, -11104, 0, -1264, 1445, 0, 8351, 2656, 0, 4910, 21486, 0, -25312, 8872, 0, 11232, 8145, 0, 26435, 4360, 0, -17508, -16977, 0, 2500, 11182, 0, -21736, 39636, 0, 28838, -3296, 0, -1392, -9755, 0, 29268, 31632, 0, 2560, 17376, 0, 2768, 19668, 0, -31206, 1437, 0, 55047, 2800, 0, -31480, 8856, 0, 11130, 3264, 0, -17310, 64176, 0, 6470, -32780, 0, 12024, -22450, 0, -35877, 32532, 0, 1400, 42396, 0, 32642, 23722, 0, -8592, -2544, 0, -14954, 3240, 0, -35508, 49263, 0, 30615, -19666, 0, 2672, 51924, 0, 8990, 8520, 0, -8766, -9635, 0, 47169, 46810, 0, 2300, 49011, 0, -38132, 2496, 0, -45414, 26430, 0, 32987, 1200, 0, 9384, 22122, 0, 16200, -19512, 0, -21720, 6630, 0, -1904, 22506, 0, -10948, 4575, 0, -3973, 6512, 0, -1030, 61539, 0, -49642, 18652, 0, 2400, 45267, 0, 69161, 2920, 0, -9084, -12237, 0, 6555, 6496, 0, -28644, 66717, 0, 63182, 7344, 0, 12480, -1580, 0, -16978, 18442, 0, 3320, 54651, 0, -96227, 7008, 0, -9108, 11232, 0, 67349, 14040, 0, -30916, -9558, 0, 5450, -2744, 0, 5286, 54399, 0, 32274, -33612, 0, 816, -27170, 0, -93562, 43296, 0, -4120, 59388, 0, 53512, 24076, 0, -2848, 8784, 0, 63984, 3200, 0, -26922, -39963, 0, 24585, -38872, 0, 11280, 58779, 0, -25345, -15468, 0, -10032, -39350, 0, -6173, 40054, 0, 4080, 41517, 0, -5863, -14576, 0, 4428, -31923, 0, 23027, 15030, 0, 3584, -4521, 0, 40665, -16260, 0, -7332, -13734, 0, 16651, 8704, 0, -26968, -10740, 0, 49895, 10944, 0, 4050, 46140, 0, 47384, 13022, 0, 24816, -10950, 0, 99341, 3340, 0, 6516, -57609, 0, 10650, -36134, 0, -52520, -9930, 0, -23474, -8168, 0, 41328, 2875, 0, 36686, 484, 0, 3120, -20631, 0, -66142, 22992, 0, 20184, -73548, 0, 74941, 11730, 0, -53908, 8862, 0, -24390, 2944, 0, -37602, 48132, 0, 148674, -68922, 0, 20880, -13685, 0, -14884, 22884, 0, 8140, 2892, 0, 71292, 17530, 0, 18452, -26142, 0, 2696, 3000, 0, -20418, -33312, 0, 3650, -104732, 0, 5856, 5856, 0, -27705, -43188, 0, 44682, -35805, 0, 3878, 83150, 0, 9180, 14319, 0, 45081, 6864, 0, -32238, -47850, 0, -14492, 4150, 0, 3936, 37191, 0, 8760, -56088, 0, 2712, 51288, 0, 104016, 4088, 0, -23584, -38645, 0, 45269, 2312, 0, -3430, 33876, 0, 24508, -41600, 0, 7856, -2565, 0, -88272, 1020, 0, 55074, -33987, 0, 54120, -81744, 0, -39296, -65310, 0, -76738, 6976, 0, 50736, -3560, 0, 9464, 18478, 0, 4000, 57372, 0, -133959, 1476, 0, -39954, -58962, 0, 84653, 14100, 0, -16584, -15264, 0, -19335, -15608, 0, -23190, 5661, 0, 58487, -64072, 0, 4096, 5100, 0, -106208, 5388, 0, -18220, -48576, 0, -76795, -22488, 0, 38080, -2232, 0, -65314, 4480, 0, 30660, -69531, 0, -20325, -58682, 0, 17808, -67572, 0, -32533, -51000, 0, -19380, -33710, 0, -67508, 118046, 0, 13680, 16818, 0, 22853, -35920, 0, -40296, -26097, 0, 55271, 31020, 0, 2240, -94962, 0, 4175, -26652, 0, 39786, 26502, 0, -108105, -42698, 0, -56608, -65650, 0, -104254, 5184, 0, -10210, -33249, 0, 56714, -40076, 0, 48984, -35475, 0, -140090, 3900, 0, 60300, -54255, 0, 28740, -18724, 0, -26128, -40125, 0, -61572, -15416, 0, -18036, -67385, 0, 104630, 22616, 0, 3680, 50325, 0, -75505, -14700, 0, -8556, -124446, 0, 14666, 26100, 0, -37300, -117516, 0, 28605, 1920, 0, -38010, -98199, 0, -106472, -102194, 0, 25920, 23065, 0, -78848, -35916, 0, 3750, -7272, 0, -24667, 90910, 0, 60484, -65964, 0, -60230, 7320, 0, -11130, 70698, 0, -53985, -31380, 0, -1648, -65835, 0, 41267, -73872, 0, 22428, 11475, 0, 129837, 174308, 0, 8580, -107403, 0, 67305, 4672, 0, -68760, -33648, 0, -68697, 4920, 0, 10488, -107955, 0, -70110, -79656, 0, 43356, -16758, 0, -50938, -26750, 0, -22208, -29480, 0, -111510, -2528, 0, 2890, 23712, 0, 100682, 16702, 0, 5312, 20295, 0, -198942, 9820, 0, 42972, -19923, 0, 1275, -50624, 0, 17744, 127674, 0, 29534, 22464, 0, 16290, -49120, 0, 86960, 52870, 0, 8720, 25803, 0, -48498, -35016, 0, -33954, -37968, 0, -166474, 5000, 0, 22364, -107076, 0, 1845, -43472, 0, 79272, -27711, 0, -29000, 57676, 0, -6592, -20730, 0, -78557, -2784, 0, -19510, 181650, 0, -65405, 58536, 0, 63264, 88872, 0, -12298, 5120, 0, 34752, -42438, 0, 6735, 5536, 0, 39336, -34974, 0, -106879, -62412, 0, 2874, 47600, 0, -7867, 110094, 0, 5600, -67308, 0, -112129, -62960, 0, 17712, -12726, 0, -46200, 22260, 0, 6528, -40836, 0, -63750, -34620, 0, 128352, -22104, 0, -32104, 12940, 0, -65560, 17100, 0, -33439, 24048, 0, -44900, -42825, 0, 47314, -71754, 0, 65064, 221058, 0, -13520, 2800, 0, 84792, -205470, 0, -33315, 65284, 0, 47444, 4866, 0, -117722, -17184, 0, -5088, -70760, 0, -14124, -29908, 0, 6480, 21699, 0, 17697, -71016, 0, 98526, -26427, 0, -84720, 61230, 0, -39332, -109074, 0, 4875, 5344, 0, 103848, 68748, 0, 84635, 17980, 0, 17040, -32660, 0, 110779, -17532, 0, -19270, 60534, 0, 116134, 94338, 0, 93620, 147066, 0, 44264, 4600, 0, 98022, -158907, 0, -18375, -76264, 0, 4992, -172392, 0, -156972, -90828, 0, 52860, -46625, 0, 18940, 65974, 0, 2400, 88656, 0, 88151, 18768, 0, 44244, 6546, 0, -88978, 32400, 0, -39024, 25968, 0, -44895, -43440, 0, 13260, 86568, 0, 158304, -3808, 0, 45012, 75605, 0, 159701, -21896, 0, 9150, -172644, 0, 36752, -7946, 0, 13024, 92778, 0, -165850, -2060, 0, 123078, -80268, 0, -92340, -99284, 0, 37304, -70788, 0, 18692, 4800, 0, 90534, 10725, 0, 3724, 138322, 0, 5840, 135918, 0, 175883, -18168, 0, -24474, 123873, 0, -54073, 13110, 0, 12992, -29376, 0, -99570, -57288, 0, 133434, 246771, 0, 214390, 126364, 0, 14688, -27760, 0, 38583, 24960, 0, -3160, 78354, 0, 110664, -33956, 0, 36884, 28722, 0, -60510, 6640, 0, 109302, -46428, 0, 12275, -192454, 0, 14016, -103827, 0, -77542, -18216, 0, 22464, 22180, 0, -55050, 134698, 0, 28080, 308211, 0, -51745, -61832, 0, -19116, 168648, 0, 85439, 10900, 0, -5488, -23601, 0, -43770, 10572, 0, 108798, 103056, 0, -1253, 64548, 0, -67224, 27955, 0, 60431, 1632, 0, -54340, -31851, 0, -64840, -187124, 0, 86592, 133734, 0, -141268, -8240, 0, 118776, 76683, 0, -3480, 107024, 0, 48152, -35160, 0, 20932, -5696, 0, 17568, 79080, 0, 134792, 127968, 0, 6400, 48204, 0, -113015, -53844, 0, -79926, 236340, 0, 2003, 49170, 0, -77744, -184344, 0, -78015, 22560, 0, 117558, 87333, 0, -96484, -50690, 0, -30936, 7000, 0, -147391, -20064, 0, -78700, 104748, 0, 265608, -12346, 0, 80108, 168774, 0, -38034, 8160, 0, 83034, -5016, 0, -43275, -11726, 0, -29152, -13047, 0, 110638, 8856, 0, -63846, -81950, 0, 22217, 46054, 0, 30060, 166614, 0, 137495, 7168, 0, -9042, 73428, 0, -170860, 81330, 0, -32520, -76812, 0, 3500, -14664, 0, -27468, -106950, 0, -3272, 33302, 0, 17408, 59305, 0, -88475, -53936, 0, -21480, 184290, 0, 127304, 99790, 0, 21888, 80370, 0, -121705, 8100, 0, 92280, 269760, 0, -88770, 94768, 0, 26044, 54228, 0, 270744, 49632, 0, -21900, -49165, 0, 170004, 198682, 0, 6680, -81756, 0, 185618, 13032, 0, -115218, -68040, 0, -321736, 21300, 0, -72268, -23610, 0, -21915, -105040, 0, -19860, -18252, 0, -3280, -46948, 0, -16336, 117025, 0, -99571, 82656, 0, 5750, 303480, 0, 133331, 73372, 0, 968, 109938, 0, -25552, 6240, 0, -41262, 119055, 0, -113535, -132284, 0, 45984, 134367, 0, 1446, 40368, 0, -147096, 3000, 0, -59203, 149882, 0, 23460, 59136, 0, 315431, -107816, 0, 17724, 16677, 0, -196966, -48780, 0, 5888, -70944, 0, -54300, -75204, 0, 96264, 34614, 0, 91562, 297348, 0, -137844, 56265, 0, -54644, 41760, 0, -27370, 309051, 0, -69540, -29768, 0, 45768, 359070, 0, -103989, 16280, 0, 5784, 153024, 0, -2575, 142584, 0, 35060, 10230, 0, 40160, 36904, 0, -52284, 46630, 0, -157470, 5392, 0, 6000, -231876, 0, 70453, -40836, 0, -66624, 9030, 0, -173415, 7300, 0, -209464, -114510, 0, -22710, 11712, 0, 11712, 77169, 0, 43121, -55410, 0, -86376, 16240, 0, -46726, 89364, 0, -71610, -15438, 0, -22438, 7756, 0, 166300, 255816, 0, -235192, 18360, 0, 28638, -15375, 0, 31200, 90162, 0, 13728, -261072, 0, -150032, -64476, 0, -95700, 46105, 0, -35906, -28984, 0, 8300, 53604, 0, 307734, 7872, 0, 74382, -15417, 0, -64695, 17520, 0, -112176, 33795, 0, -22770, 5424, 0, 102576, 1800, 0, 148794, 208032, 0, 8176, 35100, 0, 125253, -47168, 0, -77290, -191061, 0, -34744, 90538, 0, 4624, 79788, 0, -232496, -6860, 0, 67752, -74811, 0, 13215, 49016, 0, -83200, -333195, 0, 280136, 15712, 0, -5130, -84030, 0, -195824, -176544, 0, 2040, 72000, 0, 72364, 110148, 0, -67974, -147999, 0, -176568, 108240, 0, -163488, -62670, 0, -10300, -78592, 0, -130620, 93594, 0, 210703, -153476, 0, 13952, 60190, 0, 127022, 101472, 0, -7120, -382650, 0, 53357, 18928, 0, 36956, -131418, 0, -115612, 8000, 0, 114744, -10362, 0, -67305, -267918, 0, 2952, -137853, 0, -40786, -79908, 0, -117924, -97180, 0, 3338, 169306, 0, 28200, 180588, 0, 414341, -33168, 0, -30528, 53625, 0, -33493, -38670, 0, -31216, -65775, 0, -25080, -46380, 0, 11322, 51654, 0, -36308, 116974, 0, -128144, 100135, 0, 232929, 8192, 0, 10200, -190584, 0, 177746, -212416, 0, 10776, -54252, 0, -1422, -36440, 0, -97152, -67032, 0, 11070, -153590, 0, -44976, -86031, 0, 266968, 76160, 0, -4464, 37575, 0, -323768, -130628, 0, 8960, 1056, 0, -161329, 61320, 0, -139062, 249774, 0, -329038, -40650, 0, -117364, -191520, 0, -18330, 35616, 0, -135144, -194445, 0, -48372, -65066, 0, -102000, 21760, 0, 23841, -38760, 0, -67420, -86406, 0, 107963, -135016, 0, 236092, 65094, 0, -60056, 27360, 0, 33636, -44589, 0, 10125, 45706, 0, -71840, -316524, 0, -137317, -80592, 0, -52194, 32555, 0, 80075, 110542, 0, 62040, -297894, 0, -59056, 4480, 0, -189924, 17346, 0, -169991, 8350, 0, -53304, -94656, 0, 16290, 79572, 0, 53004, -89550, 0, -142504, -216210, 0, -85396, -90335, 0, 281004, -113216, 0, -131300, 29826, 0, 143640, -208508, 0, 10368, -277710, 0, 6383, -20420, 0, -66498, -185100, 0, 103320, 113428, 0, -80152, -248940, 0, 415270, 97968, 0, -70950, 1210, 0, 122644, -280180, 0, 7800, -135264, 0, -398824, 120600, 0, -108510, -37545, 0, -145385, 57480, 0, -37448, -73452, 0, 50460, -52256, 0, -80250, 40686, 0, 306899, -123144, 0, -30832, 29325, 0, 34584, -36072, 0, -134770, 25452, 0, 159036, 209260, 0, 45232, 18642, 0, 162746, 7360, 0, 100650, -55707, 0, -94005, -151010, 0, -29400, 23136, 0, 172937, -17112, 0, -248892, -172305, 0, -48998, 29332, 0, 52200, -446040, 0, 347974, -74600, 0, -235032, -433791, 0, -42955, 57210, 0, 3840, -103815, 0, 20350, -76020, 0, -196398, 326694, 0, -5422, -212944, 0, -204388, 43825, 0, 45548, 51840, 0, 46130, 107970, 0, 262922, -157696, 0, -71832, -131622, 0, -42898, 7500, 0, -14544, 86700, 0, -51045, -49334, 0, 181820, 157635, 0, 269954, 120968, 0, -131928, -261830, 0, -63494, -120460, 0, 14640, 229680, 0, 360354, -22260, 0, 141396, -258312, 0, 166329, -107970, 0, -62760, 10842, 0, 111705, -3296, 0, -131670, -316677, 0, -38056, 82534, 0, -147744, 207875, 0, 185168, 44856, 0, 22950, 151710, 0, -263648, 259674, 0, 348616, 354678, 0, 231736, 17160, 0, -214806, 231939, 0, -80595, 134610, 0, 9344, -39252, 0, 78530, -137520, 0, -67296, 10375, 0, 51383, -137394, 0, 9840, -380073, 0, 371093, 20976, 0, -215910, -288600, 0, 177461, -140220, 0, -159312, -123828, 0, 6780, 86712, 0, -33516, 71034, 0, -301612, -101876, 0, -53500, 10220, 0, 460149, -44416, 0, -58960, -148848, 0, -494936, -223020, 0, -5056, 125862, 0, -288027, 5780, 0, 47424, -48495, 0, -8575, 201364, 0, 33404, 26352, 0, 443760, 10624, 0, 40590, -104000, 0, 217760, -397884, 0, 19640, 312180, 0, 261841, 85944, 0, -39846, -146784, 0, 348796, 2550, 0, -101248, -278178, 0, 137685, 35488, 0, 255348, 133107, 0, 234141, 59068, 0, 44928, -204360, 0, -77179, 32580, 0, -98240, -864, 0, -36433, 173920, 0, 105740, 90666, 0, 211768, 17440, 0, 51606, 112464, 0, 126840, -96996, 0, -70032, -138636, 0, 438990, -67908, 0, -75936, 46195, 0, -33021, -332948, 0, 10000, -254625, 0, 233705, 44728, 0, -214152, -603861, 0, 85996, 3690, 0, -86944, -79722, 0, -99885, 158544, 0, -55422, 350742, 0, 159251, -58000, 0, 115352, 35250, 0, 124011, -13184, 0, -41460, -385152, 0, 147726, -157114, 0, -5568, -215001, 0, 5195, -39020, 0, 363300, 237333, 0, -57975, -130810, 0, 117072, 93543, 0, 30932, 126528, 0, 177744, -160180, 0, 111368, -24596, 0, 10240, 334716, 0, 181917, 69504, 0, -84876, -493290, 0, 268612, 13470, 0, 11072, 207606, 0, -45550, 78672, 0, -69948, -10035, 0, -172719, -213758, 0, -124824, -56220, 0, -176516, 5748, 0, 95200, 227784, 0, 319898, -15734, 0, 220188, 161886, 0, 700152, 11200, 0, -134616, 94785, 0, 76650, -224258, 0, -125920, -126426, 0, -151898, 35424, 0, -25452, -146705, 0, -235900, -92400, 0, 44520, 101625, 0, 11632, 13056, 0, -81672, 91752, 0, -384690, -127500, 0, -69240, 369171, 0, -48450, 256704, 0, -44208, -172386, 0, -212045, -64208, 0, 25880, 295115, 0, 465665, -131120, 0, 34200, -393549, 0, -47450, -66878, 0, 48096, 151389, 0, 32417, -89800, 0, -85650, -205878, 0, -100740, 94628, 0, -143508, -203016, 0, 20612, 130128, 0, 442116, 77550, 0, -76612, -27040, 0, 5600, -370992, 0, -205765, 169584, 0, -410940, -110943, 0, -261208, -66630, 0, 130568, 285780, 0, 99465, 94888, 0, 9732, 147447, 0, -175412, -235444, 0, -34368, -106745, 0, -53341, -10176, 0, -141520, 223830, 0, 44468, -28248, 0, -59816, -344616, 0, 415238, 12960, 0, 43398, -10539, 0, -25525, 35394, 0, -142032, -436617, 0, 165791, 197052, 0, -52854, -100190, 0, -535650, -169440, 0, 122460, 186150, 0, -353996, -78664, 0, -218148, -312378, 0, -253663, 9750, 0, 10688, 459729, 0, 150750, 207696, 0, 137496, 548304, 0, 121677, 169270, 0, 35960, -46810, 0, 315200, 34080, 0, -65320, -198924, 0, -126330, 221558, 0, -35064, -436164, 0, -182666, -38540, 0, 121068, 522129, 0, -45090, 232268, 0, 188676, -54867, 0, -262738, 187240, 0, 294132, 56540, 0, 41792, 88528, 0, 9200, -673938, 0, -655108, 196044, 0, -317814, -702570, 0, 270172, -36750, 0, -152528, -1404, 0, -21390, 9984, 0, -344784, 485838, 0, -712912, -313944, 0, -181656, 65250, 0, -192759, 105720, 0, -93250, 161796, 0, -32803, 37880, 0, 131948, -265992, 0, 481722, 4800, 0, 177312, 422640, 0, -95025, 176302, 0, 37536, 73656, 0, -354211, 88488, 0, 13092, -255485, 0, -253750, -177956, 0, 64800, 608367, 0, 318754, -78048, 0, 51936, 113283, 0, 272326, -89790, 0, -86880, 372975, 0, 9375, 26520, 0, 173136, 262788, 0, -396941, 316608, 0, -7616, 227275, 0, -248368, 90024, 0, 151210, 180483, 0, -86304, 319402, 0, -43792, 744795, 0, -343394, 18300, 0, -345288, 249147, 0, -27825, 73504, 0, -15892, 344793, 0, -194868, 26048, 0, 185556, -78450, 0, 10718, -331700, 0, -4120, -157593, 0, -161756, 246156, 0, -160536, -202380, 0, -398094, -184680, 0, -198568, -196596, 0, 56070, 74608, 0, -141576, -320367, 0, -808206, 37384, 0, 9600, 435770, 0, -7574, 181068, 0, 21450, -4776, 0, -886360, 7448, 0, 276644, 460548, 0, 311604, 11680, 0, 271836, 305058, 0, -171900, 351766, 0, -36336, -99336, 0, -346018, -48948, 0, 247746, 12300, 0, 223192, -108146, 0, 26220, -39648, 0, 228028, 25984, 0, -58752, -662682, 0, 283512, -199140, 0, -114576, 304437, 0, 108390, 266868, 0, 493542, 197838, 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": "90.4.e.e", "char_is_minimal": true, "conrey_index": 1, "id": null, "nf_label": 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, 0], [1, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 0], [5, 0, 0, 0], [0, 0, 0, 0], [6, 1, 0, 0], [8, 0, 0, 0], [0, 0, 0, 0], [10, 0, 0, 0], [10, 1, 1, 0], [0, 0, 0, 0], [14, 0, 1, -1], [12, 2, 0, 0], [0, 0, 0, 0], [16, 0, 0, 0], [20, -1, -1, -2], [0, 0, 0, 0], [20, -3, -1, 2], [20, 0, 0, 0], [0, 0, 0, 0], [20, 2, 2, 0], [20, 5, -4, 4], [0, 0, 0, 0], [25, 0, 0, 0], [28, 0, 2, -2], [0, 0, 0, 0], [24, 4, 0, 0], [45, -3, 4, 1], [0, 0, 0, 0], [52, -10, -3, 3], [32, 0, 0, 0], [0, 0, 0, 0], [40, -2, -2, -4], [30, 5, 0, 0], [0, 0, 0, 0], [38, 6, -3, -1], [40, -6, -2, 4], [0, 0, 0, 0], [40, 0, 0, 0], [49, -8, -7, 1], [0, 0, 0, 0], [40, -7, -1, -4], [40, 4, 4, 0], [0, 0, 0, 0], [40, 10, -8, 8], [112, -11, 1, -5], [0, 0, 0, 0], [12, -3, 7, -4], [50, 0, 0, 0], [0, 0, 0, 0], [56, 0, 4, -4], [168, -12, 2, -12], [0, 0, 0, 0], [50, 5, 5, 0], [48, 8, 0, 0], [0, 0, 0, 0], [90, -6, 8, 2], [108, 3, 10, 5], [0, 0, 0, 0], [123, 1, 11, -6], [104, -20, -6, 6], [0, 0, 0, 0], [64, 0, 0, 0], [70, 0, 5, -5], [0, 0, 0, 0], [44, 36, -3, 10], [80, -4, -4, -8], [0, 0, 0, 0], [60, 10, 0, 0], [36, 24, -3, 11], [0, 0, 0, 0], [-32, -25, -2, -1], [76, 12, -6, -2], [0, 0, 0, 0], [80, -12, -4, 8], [356, 20, 11, -1], [0, 0, 0, 0], [-102, 4, -10, 22], [80, 0, 0, 0], [0, 0, 0, 0], [98, -16, -14, 2], [374, -7, 14, 6], [0, 0, 0, 0], [100, -5, -5, -10], [80, -14, -2, -8], [0, 0, 0, 0], [80, 8, 8, 0], [289, -17, -22, 7], [0, 0, 0, 0], [210, 26, 11, -19], [80, 20, -16, 16], [0, 0, 0, 0], [224, -22, 2, -10], [100, -15, -5, 10], [0, 0, 0, 0], [-88, -9, -4, 3], [24, -6, 14, -8], [0, 0, 0, 0], [100, 0, 0, 0]]}