# Stored data for newform 280.4.a.d, downloaded from the LMFDB on 25 April 2024.
{"label": "280.4.a.d", "space_label": "280.4.a", "level": 280, "weight": 4, "hecke_orbit": 4, "hecke_orbit_code": 13510798949220632, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 350029345086739374, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-7, 1]]], "qexp_display": "q+7q^{3}+5q^{5}+7q^{7}+22q^{9}+9q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4480, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 16.520534801607372, "hecke_ring_index": 1, "level_radical": 70, "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": [280, 1, [71, 141, 57, 241], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 7], "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": "0.983", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.927", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.703", "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], [5, -1], [7, -1]], "trace_display": [0, 7, 5, 7], "traces": [0, 1, 0, 7, 0, 5, 0, 7, 0, 22, 0, 9, 0, 23, 0, 35, 0, 41, 0, 34, 0, 49, 0, -6, 0, 25, 0, -35, 0, 131, 0, 4, 0, 63, 0, 35, 0, 26, 0, 161, 0, -260, 0, -190, 0, 110, 0, 167, 0, 49, 0, 287, 0, -368, 0, 45, 0, 238, 0, 324, 0, -164, 0, 154, 0, 115, 0, 200, 0, -42, 0, 784, 0, -410, 0, 175, 0, 63, 0, 1211, 0, -839, 0, -1132, 0, 205, 0, 917, 0, -72, 0, 161, 0, 28, 0, 170, 0, -707, 0, 198, 0, -1410, 0, -813, 0, 245, 0, 1078, 0, -2135, 0, 182, 0, 158, 0, -30, 0, 506, 0, 287, 0, -1250, 0, -1820, 0, 125, 0, 604, 0, -1330, 0, -1914, 0, 238, 0, -175, 0, -2144, 0, -2266, 0, 1169, 0, 207, 0, 655, 0, 343, 0, -1854, 0, -1037, 0, 902, 0, 20, 0, 1058, 0, -2576, 0, -42, 0, -2810, 0, 315, 0, 1395, 0, -1668, 0, 748, 0, 4445, 0, 175, 0, 2268, 0, -1740, 0, 2488, 0, -1148, 0, 130, 0, 369, 0, -245, 0, 2053, 0, 448, 0, 805, 0, 3312, 0, 1060, 0, 1400, 0, 917, 0, -1300, 0, -132, 0, 306, 0, 1711, 0, 5488, 0, -950, 0, 28, 0, -2870, 0, 943, 0, 795, 0, 550, 0, 5899, 0, -2468, 0, 441, 0, -3960, 0, 835, 0, 8477, 0, 1183, 0, -2878, 0, -4928, 0, 245, 0, 782, 0, -7924, 0, 5570, 0, -54, 0, 1435, 0, 2594, 0, 182, 0, 2882, 0, 638, 0, -1840, 0, -504, 0, 1106, 0, -8084, 0, 1127, 0, 225, 0, -2854, 0, 88, 0, -165, 0, 4973, 0, 1190, 0, -1820, 0, -3232, 0, -4949, 0, 7593, 0, 1620, 0, -315, 0, -138, 0, -1330, 0, -9870, 0, -820, 0, 8205, 0, -5691, 0, -1430, 0, -1081, 0, 770, 0, 5326, 0, 1179, 0, 7546, 0, 1394, 0, 575, 0, -14945, 0, 1169, 0, -1732, 0, 572, 0, 1000, 0, 2002, 0, 1106, 0, 36, 0, 343, 0, -210, 0, 6054, 0, 10162, 0, -805, 0, 5893, 0, 3920, 0, 2009, 0, 6896, 0, -5703, 0, -8750, 0, -2050, 0, -5729, 0, -5720, 0, -2576, 0, -11800, 0, 875, 0, 3013, 0, 8548, 0, 4228, 0, 1668, 0, 315, 0, -4180, 0, -739, 0, -246, 0, -13398, 0, 6055, 0, -1235, 0, 1666, 0, 11313, 0, 92, 0, -4195, 0, 234, 0, -6942, 0, -15008, 0, 2268, 0, -5660, 0, -15862, 0, -120, 0, -9479, 0, 3674, 0, 1025, 0, -1148, 0, 1449, 0, -16239, 0, -7058, 0, 4585, 0, -204, 0, 10810, 0, 1078, 0, -17830, 0, -360, 0, -12978, 0, 4743, 0, -2340, 0, -7259, 0, 805, 0, -2976, 0, -1435, 0, 7872, 0, 3148, 0, 140, 0, 8321, 0, 1400, 0, 7406, 0, -1710, 0, 850, 0, -8096, 0, 8518, 0, 598, 0, -294, 0, -3535, 0, -934, 0, -19670, 0, 10515, 0, 5371, 0, 990, 0, 5488, 0, 10157, 0, 9765, 0, 3197, 0, -7050, 0, -11676, 0, 8250, 0, -2870, 0, -1190, 0, -4065, 0, 1503, 0, 31115, 0, -8818, 0, 16844, 0, 1225, 0, 164, 0, -12131, 0, 7128, 0, -5980, 0, 5390, 0, -12180, 0, 441, 0, 12659, 0, 17416, 0, -10675, 0, 21092, 0, -3608, 0, 4454, 0, 8477, 0, 910, 0, 1232, 0, -4370, 0, 2583, 0, 9148, 0, 790, 0, -5873, 0, 19066, 0, -18884, 0, 14371, 0, -150, 0, -14197, 0, 3136, 0, -7924, 0, -3312, 0, 2530, 0, -2080, 0, 136, 0, 23184, 0, 22763, 0, 1435, 0, 7420, 0, 6113, 0, -10230, 0, 4400, 0, -6250, 0, 6597, 0, 6419, 0, 3841, 0, 20762, 0, -9100, 0, -1994, 0, -14362, 0, 210, 0, -504, 0, 625, 0, 2142, 0, 1066, 0, 13337, 0, 11977, 0, 3020, 0, 1127, 0, 17248, 0, 12882, 0, -2465, 0, -6650, 0, -18696, 0, 2916, 0, 196, 0, 1542, 0, -9570, 0, -9020, 0, -2819, 0, -30128, 0, 6601, 0, 1190, 0, -786, 0, 5565, 0, -1476, 0, 12520, 0, -875, 0, -8521, 0, -4949, 0, 41293, 0, -16788, 0, -10720, 0, -17276, 0, -8464, 0, -14508, 0, 1386, 0, -11330, 0, -10660, 0, -27720, 0, -17681, 0, 884, 0, 5845, 0, -9870, 0, -1093, 0, 26642, 0, -24, 0, 1035, 0, 8281, 0, 8870, 0, -5691, 0, -20146, 0, 3275, 0, -23368, 0, -11843, 0, -7790, 0, 6667, 0, 1715, 0, 1800, 0, -5015, 0, 5474, 0, -15896, 0, -9270, 0, -24904, 0, 7546, 0, -16533, 0, 38990, 0, -5185, 0, -16376, 0, -378, 0, 29482, 0, -14945, 0, 4510, 0, 7452, 0, -12942, 0, 18158, 0, 11599, 0, 100, 0, 1274, 0, -8840, 0, 7056, 0, -4585, 0, 5290, 0, 11987, 0, 4466, 0, 1106, 0, -3772, 0, -12880, 0, 40989, 0, 6847, 0, -1584, 0, -3690, 0, -210, 0, 7742, 0, -8239, 0, 18018, 0, -56588, 0, -14050, 0, -6460, 0, 3542, 0, -31155, 0, 32860, 0, 1575, 0, -9486, 0, 5860, 0, -19978, 0, 2009, 0, 6975, 0, -140, 0, -32454, 0, -7228, 0, -1155, 0, -8340, 0, -8750, 0, 34811, 0, -156, 0, 45938, 0, 3740, 0, -9930, 0, 4628, 0, -12740, 0, -46008, 0, 22225, 0, -22624, 0, 10899, 0, 4600, 0, -15554, 0, 875, 0, -40074, 0, 53151, 0, -11744, 0, -14128, 0, 11340, 0, 16336, 0, 4228, 0, -7551, 0, 5678, 0, -8700, 0, -966, 0, 524, 0, -15088, 0, -9310, 0, 12440, 0, 45202, 0, -31020, 0, -35352, 0, -10188, 0, -5740, 0, -13398, 0, 7527, 0, 57435, 0, 18032, 0, 650, 0, -17886, 0, 28896, 0, 1666, 0, -10010, 0, 1845, 0, 3013, 0, -7567, 0, -51788, 0, 1560, 0, -1225, 0, 35600, 0, -9430, 0, 37282, 0, -17800, 0, 10265, 0, 8253, 0, -15008, 0, -29775, 0, 23716, 0, 2240, 0, -20406, 0, 9758, 0, -25128, 0, -15862, 0, 4025, 0, -37470, 0, -648, 0, -46970, 0, -27507, 0, 16560, 0, 8183, 0, 1140, 0, -2960, 0, -12124, 0, 5300, 0, 27769, 0, -910, 0, 1449, 0, 13284, 0, 7000, 0, -12512, 0, 48373, 0, 14014, 0, -40858, 0, 4585, 0, 3476, 0, -7160, 0, 814, 0, 252, 0, -6500, 0, 27853, 0, 2401, 0, -7011, 0, -5482, 0, -660, 0, -6724, 0, -17086, 0, 42378, 0, -12978, 0, 1530, 0, 71134, 0, 13964, 0, 15901, 0, -19297, 0, 8555, 0, -7259, 0, 41251, 0, 24589, 0, 41876, 0, 27440, 0, -6363, 0, 39164, 0, 6314, 0, 3406, 0, -4750, 0, 48272, 0, -26036, 0, -1002, 0, -39921, 0, 140, 0, 38528, 0, -27500, 0, 49464, 0, 26058, 0, -14350, 0, 62058, 0, 7406, 0, -40103, 0, -5448, 0, 4715, 0, 9100, 0, -5154, 0, -12690, 0, -18032, 0, 3975, 0, 9180, 0, -82600, 0, 11016, 0, 68503, 0, 2750, 0, -294, 0, 37145, 0, 21091, 0, -7317, 0, 29495, 0, 59836, 0, 8200, 0, -19670, 0, 13288, 0, -12340, 0, 104, 0, 11676, 0, 40100, 0, -4498, 0, 2205, 0, -1656, 0, -5576, 0, 6650, 0, -17454, 0, -19800, 0, -5173, 0, 9765, 0, -9477, 0, -1722, 0, 4175, 0, 9702, 0, -42108, 0, 46464, 0, -11676, 0, 42385, 0, 24468, 0, -34060, 0, -8645, 0, -43861, 0, 5915, 0, 5236, 0, -19215, 0, 5543, 0, 79191, 0, -14390, 0, 32144, 0, 644, 0, 31115, 0, -5132, 0, -24640, 0, -20519, 0, 2208, 0, 1638, 0, 26747, 0, 1225, 0, -48594, 0, -60706, 0, -47018, 0, -47168, 0, 3910, 0, 1614, 0, 15876, 0, -16810, 0, 1422, 0, -39620, 0, -24890, 0, -49622, 0, -49852, 0, -12180, 0, 27850, 0, -840, 0, -59498, 0, -16261, 0, -66353, 0, -270, 0, 17416, 0, -5845, 0, -1040, 0, 6800, 0, 7175, 0, -10671, 0, -30830, 0, -8036, 0, 43432, 0, 12970, 0, 4554, 0, 27510, 0, 40772, 0, -113673, 0, 910, 0, -67524, 0, -49406, 0, -62150, 0, 69132, 0, 14410, 0, 8211, 0, 2583, 0, -1428, 0, -32430, 0, 3190, 0, 75670, 0, -79306, 0, 86784, 0, -1715, 0, -9200, 0, 21226, 0, -124810, 0, -23229, 0, -760, 0, -2520, 0, 14371, 0, -18699, 0, -40788, 0, 49651, 0, 5530, 0, 33201, 0, 26656, 0, 3136, 0, -16380, 0, -40420, 0, -1944, 0, -22814, 0, 11804, 0, 21877, 0, 5635, 0, 7614, 0, -49977, 0, -20832, 0, -30222, 0, 1125, 0, -34399, 0, 23184, 0, -62070, 0, 55104, 0, -14270, 0, -13940, 0, 22036, 0, 24794, 0, 7420, 0, 440, 0, 5436, 0, -72338, 0, 58247, 0, 984, 0, -825, 0, 9800, 0, 11541, 0, -46412, 0, 23276, 0, 24865, 0, -49105, 0, -11970, 0, 6419, 0, 89290, 0, 5950, 0, -26205, 0, 58262, 0, 12880, 0, -97291, 0, -9100, 0, 59626, 0, -85831, 0, -17226, 0, 4186, 0, -16160, 0, 85219, 0, -924, 0, -27204, 0, -4544, 0, -24745, 0, 668, 0, 45370, 0, -6538, 0, 2142, 0, 37965, 0, -61820, 0, 3634, 0, -82592, 0, 73605, 0, 8100, 0, 11977, 0, 37597, 0, 57065, 0, 73715, 0, -1575, 0, 22739, 0, -48520, 0, 38416, 0, 70656, 0, -690, 0, 71099, 0, -4269, 0, 41174, 0, 30690, 0, -6650, 0, -19296, 0, 22379, 0, 47230, 0, -2952, 0, -49350, 0, -6760, 0, 196, 0, -36696, 0, -86512, 0, -4100, 0, 57750, 0, -20394, 0, -71560, 0, -20090, 0, 41025, 0, -48208, 0, -28526, 0, -1200, 0, -69729, 0, -28455, 0, 6601, 0, -20778, 0, 10521, 0, 78483, 0, -7150, 0, 97790, 0, 40670, 0, 5565, 0, -61726, 0, -5405, 0, -42752, 0, 117908, 0, 94950, 0, -28750, 0, 3850, 0, -38488, 0, -76233, 0, 1148, 0, -91878, 0, 26630, 0, -84917, 0, 41293, 0, -4940, 0, -11340, 0, 5895, 0, 109966, 0, -41860, 0, -13778, 0, -17276, 0, 37730, 0, 62376, 0, 3976, 0, -38280, 0, -86142, 0, 6970, 0, 3087, 0, 46909, 0, 19630, 0, 88613, 0, 2875, 0, -88084, 0, 54736, 0, -27720, 0, -4704, 0, -74725, 0, 15471, 0, -16686, 0, 147644, 0, -1472, 0, 5845, 0, 5740, 0, -28987, 0, 13892, 0, 31178, 0, -8660, 0, -62981, 0, 59339, 0, -9333, 0, -77038, 0, 2860, 0, -120714, 0, 130008, 0, 8624, 0, 8281, 0, 5000, 0, -30590, 0, 2460, 0, -1321, 0, 8118, 0, 10010, 0, -20146, 0, 64036, 0, -2448, 0, 82907, 0, 5530, 0, -21466, 0, 16510, 0, -34496, 0, -44022, 0, 180, 0, 133462, 0, 61261, 0, 42444, 0, -132188, 0, 1715, 0, -57810, 0, 45166, 0, 122142, 0, 39784, 0, -1050, 0, 9522, 0, 5474, 0, -99379, 0, 19006, 0, 30270, 0, 9856, 0, 4342, 0, -64288, 0, -55468, 0, 50810, 0, -45052, 0, -23184, 0, -33333, 0, 126749, 0, -4025, 0, 38990, 0, 37892, 0, -14560, 0, 49400, 0, 29465, 0, 952, 0, -21484, 0, -378, 0, 72864, 0, 19600, 0, -89454, 0, 159341, 0, -49312, 0, 15031, 0, 10045, 0, -63964, 0, 106810, 0, 23320, 0, -25290, 0, 34480, 0, 42791, 0, 18158, 0, -137543, 0, -71610, 0, -28515, 0, -52118, 0, -7000, 0, 132918, 0, 1274, 0, -43750, 0, -7266, 0, 44198, 0, 46179, 0, -43133, 0, -10250, 0, 20174, 0, 1296, 0, 2027, 0, 26887, 0, -28645, 0, 12555, 0, 145334, 0, 4466, 0, -24038, 0, -28600, 0, 69648, 0, -43407, 0, -13958, 0, -87535, 0, -12880, 0, -100534, 0, -15012, 0, -33530, 0, 5034, 0, -59000, 0, -117205, 0, -3528, 0, 77241, 0, 158530, 0, 4375, 0, -47538, 0, 28320, 0, 6732, 0, 7742, 0, 15065, 0, 7462, 0, 91120, 0, -656, 0, 93359, 0, 42740, 0, -56588, 0, 37642, 0, -114419, 0, 40005, 0, 21140, 0, 47969, 0, 6792, 0, 7889, 0, -105248, 0, 8340, 0, -27440, 0, -47940, 0, 6478, 0, 90174, 0, 1575, 0, -43420, 0, -17255, 0, 137556, 0, 43966, 0, -20900, 0, -42642, 0, -19978, 0, -130872, 0, 26200, 0, -3695, 0, 20412, 0, 81184, 0, -59430, 0, 616, 0, -1230, 0, -27642, 0, 10794, 0, -9568, 0, -23851, 0, -66990, 0, -1155, 0, -15660, 0, 14350, 0, 102391, 0, 30275, 0, -19733, 0, 38932, 0, 34811, 0, -210896, 0, -6175, 0, 48631, 0, 20746, 0, 22392, 0, -147319, 0, 8330, 0, 55026, 0, -107987, 0, -5502, 0, -69336, 0, 56565, 0, 17490, 0, -12740, 0, -25469, 0, -10332, 0, 460, 0, -123006, 0, 87640, 0, -31730, 0, -22624, 0, -20975, 0, -105542, 0, -127896, 0, -59647, 0, 36652, 0, 1170, 0, -34643, 0, -6896, 0, 24334, 0, 129778, 0, -34710, 0, 432, 0, -117516, 0, 53151, 0, 150268, 0, -75040, 0, -51250, 0, 102704, 0, -54296, 0, 55176, 0, 11340, 0, -59248, 0, 7623, 0, -72590, 0, -101556, 0, -28300, 0, 800, 0, -2205, 0, -41682, 0, -158314, 0, -79310, 0, -87062, 0, -97648, 0, -74620, 0, -966, 0, -600, 0, -87120, 0, 38622, 0, 18477, 0, -123767, 0, -47395, 0, -9310, 0, 6188, 0, 110465, 0, 50737, 0, 18370, 0, -53710, 0, -64630, 0, -69090, 0, 4032, 0, 5125, 0, -7651, 0, -122459, 0, -7190, 0, -42385, 0, -5740, 0, -129112, 0, -168, 0, 109730, 0, -51028, 0, 7245, 0, 5372, 0, 57435, 0, 26026, 0, 134846, 0, -81195, 0, 62090, 0, 24764, 0, 29296, 0, -39837, 0, -35290, 0, 29808, 0, -63316, 0, 32085, 0, 95680, 0, 22925, 0, -10010, 0, 99291, 0, -163576, 0, 8424, 0, -1020, 0, 50155, 0, 9540, 0, -7567, 0, -54530, 0, 54050, 0, -88895, 0, 46669, 0, 3136, 0, 43732, 0, 5390, 0, 89728, 0, -75934, 0, 12600, 0, 14028, 0, -89150, 0, -35105, 0, 37282, 0, 172886, 0, 17204, 0, -1800, 0, -78474, 0, -111272, 0, 4242, 0, 8253, 0, -64890, 0, 164268, 0, -73994, 0, 39620, 0, 71997, 0, 23715, 0, 52822, 0, 102235, 0, 37956, 0, -115731, 0, -11700, 0, -4264, 0, 122540, 0, 9758, 0, -1640, 0, -36295, 0, 71695, 0, 137689, 0, -114632, 0, 159198, 0, 4025, 0, -1188, 0, 69920, 0, 106942, 0, 206374, 0, -14880, 0, -17609, 0, -104615, 0, 158641, 0, 194238, 0, -7175, 0, 22772, 0, -42500, 0, 52164, 0, 8183, 0, 39360, 0, -90594, 0, -77618, 0, -94907, 0, 57068, 0, 15740, 0, -12124, 0, 81193, 0, 15399, 0, 8460, 0, 700, 0, -40020, 0, -87904, 0, 4004, 0, 124974, 0, 41605, 0, -61880, 0, -48428, 0, -31522, 0, 49392, 0, 7000, 0, 109216, 0, -109909, 0, -15306, 0, 57224, 0, 37030, 0, 130013, 0, 14014, 0, 83909, 0, -92906, 0, -8550, 0, 14036, 0, 4878, 0, -170340, 0, 7742, 0, 4250, 0, 69860, 0, -26404, 0, 131613, 0, 125743, 0, -40480, 0, 252, 0, -124099, 0, 286923, 0, -103974, 0, 42590, 0, 47929, 0, 60426, 0, 2401, 0, 2520, 0, 2990, 0, -148292, 0, -25830, 0, -42670, 0, 20536, 0, -1470, 0, 110766, 0, -84240, 0, 24332, 0, 26942, 0, -17675, 0, -57673, 0, 42378, 0, 8487, 0, 126126, 0, -4670, 0, 50852, 0, -177848, 0, 71212, 0, 71134, 0, -98350, 0, -22096, 0, 4844, 0, -45220, 0, 7155, 0, 52575, 0, -5635, 0, 143365, 0, -6468, 0, -218085, 0, 26855, 0, 37004, 0, 230020, 0, 41251, 0, -178674, 0, 4950, 0, -11715, 0, 5200, 0, -66402, 0, 47219, 0, 27440, 0, 41020, 0, -65076, 0, -61456, 0, -62788, 0, 50785, 0, 53091, 0, 14063, 0, 42640, 0, 202702, 0, 48825, 0, 12810, 0, 10304, 0, -3356, 0, 48272, 0, 15985, 0, -227178, 0, -22212, 0, 147181, 0, -50596, 0, -35250, 0, -39921, 0, -3630, 0, 31765, 0, -76014, 0, -58380, 0, -61560, 0, -199324, 0, -61250, 0, -14724, 0, 41250, 0, 109406, 0, -178129, 0, -211838, 0, -1092, 0, -14350, 0, 222618, 0, 321566, 0, 76176, 0, -35640, 0, -5950, 0, -42517, 0, -40103, 0, -69510, 0, -4528, 0, -20325, 0, 32396, 0, 119016, 0, -9432, 0, -40040, 0, 7515, 0, 24380, 0, -322056, 0, 11293, 0, 166843, 0, 155575, 0, -18032, 0, -948, 0, -71104, 0, -72896, 0, -44090, 0, 76293, 0, 78086, 0, -82600, 0, 32200, 0, 84220, 0, -16441, 0, 24745, 0, -37278, 0, 31160, 0, 6125, 0, 20384, 0, 10647, 0, -280518, 0, -211710, 0, 820, 0, 167046, 0, 21091, 0, -77044, 0, -82208, 0, -60655, 0, 68432, 0, -98896, 0, -25902, 0, 59836, 0, 35640, 0, 227730, 0, -36344, 0, 114352, 0, 14891, 0, -29900, 0, 29596, 0, 43378, 0, 89833, 0, -44352, 0, 26950, 0, -111433, 0, 39746, 0, 11676, 0, -194156, 0, -60900, 0, -180295, 0, 113377, 0, -3036, 0, -119359, 0, 2205, 0, 3668, 0, -110425, 0, -10660, 0, -105616, 0, 63295, 0, -188412, 0, -29260, 0, 260217, 0, -62560, 0, 87080, 0, 7038, 0, 212696, 0, 316414, 0, -5173, 0, -53375, 0, 49350, 0, 194264, 0, -167967, 0, -247464, 0, 105460, 0, -1722, 0, -71316, 0, -247990, 0, 39353, 0, -18040, 0, -52000, 0, 182920, 0, -93786, 0, -74808, 0, 22270, 0, 52689, 0, -288, 0, 50130, 0, 180510, 0, 42385, 0, 130122, 0, 126224, 0, -115210, 0, 54108, 0, 4550, 0, 249181, 0, -8645, 0, 28455, 0, 7500, 0, 6160, 0, 202272, 0, -85068, 0, -229610, 0, 11662, 0, -21850, 0, 241310, 0, -31460, 0, -157417, 0, -68636, 0, 12915, 0, 79191, 0, -13453, 0, 21091, 0, -92617, 0, 45740, 0, -23782, 0, -188820, 0, 644, 0, -362516, 0, 3950, 0, 23346, 0, 10920, 0, -63036, 0, 141813, 0, -29365, 0, 131582, 0, 57195, 0, 249200, 0, -208690, 0, 95330, 0, -66010, 0, 1638, 0, 250812, 0, 117172, 0, -94420, 0, -52930, 0, -124600, 0, 11800, 0, -48594, 0, 71855, 0, -27388, 0, -35258, 0, 25938, 0, -68388, 0, -750, 0, -105056, 0, 53937, 0, -38000, 0, -208425, 0, -70985, 0, -201988, 0, -37730, 0, 15876, 0, 5742, 0, 15680, 0, 301926, 0, 18285, 0, -142842, 0, 178507, 0, -39620, 0, 30668, 0, -5375, 0, -203840, 0, -175896, 0, -16560, 0, 120034, 0, -111034, 0, -3624, 0, 31486, 0, 12650, 0, -210078, 0, -184710, 0, -262290, 0, -840, 0, -10400, 0, -4536, 0, 8764, 0, 182245, 0, 74725, 0, 680, 0, -66353, 0, -192549, 0, 135677, 0, -237337, 0, 115920, 0, -216291, 0, 9954, 0, 25718, 0, -259476, 0, 113815, 0, 7980, 0, 90442, 0, -123592, 0, -20720, 0, 7175, 0, -56764, 0, -38104, 0, -72756, 0, 35972, 0, 37100, 0, -106503, 0, -8036, 0, 194383, 0, 106600, 0, 30565, 0, -21814, 0, -52836, 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": "280.4.a.d", "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], [0], [7], [0], [5], [0], [7], [0], [22], [0], [9], [0], [23], [0], [35], [0], [41], [0], [34], [0], [49], [0], [-6], [0], [25], [0], [-35], [0], [131], [0], [4], [0], [63], [0], [35], [0], [26], [0], [161], [0], [-260], [0], [-190], [0], [110], [0], [167], [0], [49], [0], [287], [0], [-368], [0], [45], [0], [238], [0], [324], [0], [-164], [0], [154], [0], [115], [0], [200], [0], [-42], [0], [784], [0], [-410], [0], [175], [0], [63], [0], [1211], [0], [-839], [0], [-1132], [0], [205], [0], [917], [0], [-72], [0], [161], [0], [28], [0], [170], [0], [-707], [0], [198], [0]]}