Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 1840, 'analytic_conductor': 6.785219650660171, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [23, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [115, 1, [47, 51], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 1146383930090851814700, 'field_disc_factorization': [[2, 2], [3, 3], [5, 2], [13, 1], [11423, 1], [94331, 1], [30310169, 1]], 'field_poly': [2400, -620, -2892, 249, 750, 31, -49, -2, 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': [[2, [-132, 2802, 1916, -2565, 170, 249, -35, -6, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998203961459, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 20216, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '115.4.a.f', 'level': 115, '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': True, 'level_primes': [5, 23], 'level_radical': 115, 'minimal_twist': '115.4.a.f', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+\\beta _{6}q^{3}+(5+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '115.4.a', 'trace_display': [6, 0, 40, 11], 'trace_hash': 26749096341416212, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.072', 'prec': 7}, {'__RealLiteral__': 0, 'data': '7.215', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '147.882', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '4783.960', 'prec': 24}], 'trace_zratio': 0, 'traces': [8, 6, 0, 42, 40, 0, 11, 3, 158, 30, 41, 48, 28, 161, 0, 98, 71, 84, 177, 210, 292, 171, 184, 177, 200, 396, -495, 179, 225, 0, -36, -360, -53, -1051, 55, -396, -348, -309, -1077, 15, 620, -2288, -390, -141, 790, 138, 123, -1304, 881, 150, 957, -1890, 1406, -2949, 205, 1031, -1142, -129, -676, 240, 1447, -1556, -58, -2883, 140, -119, -1582, 953, 0, 805, 1396, -1728, 17, -964, 0, 2271, 488, -1919, 708, 490, 4316, -3332, 1486, -3970, 355, 3570, -803, -1031, 1360, 420, 2693, 966, 3833, -3207, 885, 4956, -855, 1817, 1319, 1050, 680, -969, -245, 1357, 1460, 4906, 3968, 2265, 5969, 855, 756, -6423, -1590, 2406, 920, 9139, 2200, -1908, 2854, 885, 583, -235, -7342, -3800, 1000, 2870, -315, -2622, 3402, 1980, -1569, -4443, -8131, 1326, -2475, -797, 695, 0, 893, 895, -2665, 2796, -736, -6100, 1125, -1385, -17795, -2884, 8839, 0, -7786, 4341, -6943, -1636, -180, -4623, -1320, 2628, -9520, -1800, 253, 4218, -2566, -26, -265, 2390, -124, -7520, -2006, -5255, -5544, -6028, 1223, -15449, 275, -4739, 2294, 2712, -5305, -1980, -733, 11831, 1079, 69, -1740, -4149, -16303, 13943, 12679, -1545, -9168, 7505, -6243, -3585, -5385, 393, 9484, 21813, -11080, 75, -6628, 8596, 12410, -1159, 3100, 12369, 3634, 2212, 6056, -11440, 1458, 19876, -11280, -12000, -1950, -16482, -4591, 16315, 9485, -705, 1840, 12044, -13180, 261, 3950, 8134, 3356, 17760, 11504, 690, -28049, 2932, 12387, 17244, 615, -14246, -10072, 6758, 6409, -6520, 604, 33367, -23610, 26069, 4405, -126, -11991, 7019, 24710, 750, 2315, 39788, 943, 3515, 4785, -9638, 17439, 37458, -5018, -9450, -2430, -7859, -8601, -1201, 7030, -15973, 15786, -14298, 9509, -14745, -20291, 10021, -4181, 17833, 1025, 1104, -10805, -1597, 822, 5155, 10566, 5473, -25636, -7904, -5710, -18412, -5798, 10698, 7245, -645, -28183, 14355, 8204, -29597, -3380, -22884, -2957, 9321, 644, 1200, -20540, -25974, 3674, 18629, 7235, -40069, 4957, -24312, 12845, -7780, 6259, -20752, 6931, -45944, -290, -7622, 18579, 29728, 18132, -14415, 10148, 3703, -8448, -32298, 700, 7702, 14538, -37489, -17340, -595, -23935, -21492, -6216, -4192, -7910, 36472, 11909, -2280, 23484, 4765, 17086, -21264, -16016, 5814, 0, 11249, 5135, -23159, 36187, 4025, -29592, -24611, -5369, -39994, 6980, -5030, 42673, 8545, 20516, -8640, 7827, -48191, 572, 45283, 85, 9993, -9818, 2254, 26129, -4820, -32572, 45763, 12234, -73853, 0, 130, -19703, -13175, 20619, 11355, 12919, 40104, -23940, -25182, 2440, -20729, -9900, 26779, 9505, -9595, 1633, -4564, 24739, -13356, 3540, 56655, -2886, -59432, 14023, 2450, 17766, -6528, -24384, -28490, 21580, 23166, 39308, 9515, 8170, -16660, -10996, -42073, 15706, 1932, 7430, -12578, -27423, 29708, -21266, -19850, 22841, -23990, -32166, 14634, 1775, 74416, -12488, 49060, -22201, 17850, 26140, -22247, -4813, -84257, -4015, 58747, 4071, 100027, 13728, -5155, 96905, 59304, 5646, -44566, 6800, -22008, -11946, 5365, -2605, 2100, 12327, -2694, 30748, 51512, 13465, 64272, 15800, -3952, 63609, 4830, 40871, -72319, -632, -28833, 19165, 12421, 1774, -6216, 11670, -16035, -3746, 55526, -40812, 23176, 4425, 7664, 4814, -33329, 15468, 24780, -11548, -38408, 6716, 55729, -4275, 37458, 26001, 12211, -96975, 9085, -7867, -65750, -8554, -43369, 6595, -21574, -55130, 17938, -8211, 5250, 21620, -14935, -24425, -25756, 3400, 3933, 6702, -13491, 16087, -4845, -35550, -7449, -61409, 12605, -1225, 38984, -38536, 530, -22307, 6785, 38518, 14382, -40378, -61307, 7300, -22947, -12260, 40595, 4232, 24530, -11152, -50555, 24367, -12758, 19840, -12642, -99333, -42157, 17078, 11325, -12535, -50629, 41032, 42479, 29845, 22601, 7496, -52565, -18371, 4275, 36122, 4071, -49076, -20923, 3780, 30385, 49790, -64178, 12570, -32115, -29688, -29542, -6382, 17039, -7950, -16096, -48454, -37625, -27644, 12030, 10149, -54626, -30252, 94110, 4600, -33306, -121441, 65229, 21681, 45695, -27368, 29771, -42530, -41562, 11000, -25204, 26624, 6813, 56647, -9540, 3168, -4966, 34258, -42047, 14270, 48115, 20530, 9108, -4087, 4425, -46354, -26208, 18950, -19624, 2915, 42810, 14644, -52455, -146788, -1175, -47825, -24961, -3602, -71717, -36710, -51156, 5855, 56471, 40195, -19000, -11385, 11901, 64084, 46019, 5000, 59737, 49573, -68544, -56602, 14350, -44232, 4990, -94106, 109805, -1575, 34480, 37544, 91436, 5143, -13110, 19936, -17824, 2650, 4117, 17010, -107016, 13493, 26679, -82102, 9900, 43751, 34450, -20504, -7478, -7845, 48874, -144406, 11648, 22468, -22215, 60997, -23145, 56669, 51956, -40655, 105464, 5175, 101560, 11700, 6630, -23353, 130974, -55163, -52509, -12375, -3944, 63422, 103884, 22148, -3985, -66010, 98094, 67234, -23112, 3475, 36084, 73488, 44942, -3976, 0, -66554, -4809, 144437, 99729, 4465, 78548, 18123, -43291, -80069, 4475, 53183, 56992, -15948, -14909, -13325, -47615, 62680, 127450, 19903, 13980, 33372, -10928, -828, 75123, -3680, 27257, 16273, 55276, -3013, -30500, -80968, 90459, -9562, 68669, 5625, 13256, 23551, 423, 30923, -6925, -6284, 36569, 38568, 30854, -88975, -8280, -92472, 127075, -13765, -14420, -80881, 89056, 36811, 15694, 44195, -25958, 81808, -245563, 15832, 0, -13852, 66603, -110150, 66183, -38930, -225355, -34860, -95967, -1219, 21705, 15142, -25603, -16949, -39672, -34715, -48468, 37812, -63248, 16484, -8180, -13833, 35627, 58144, -38484, -900, -39373, -80072, -111737, -8450, -23115, 26483, -24173, 28837, 3637, -6600, -63915, -12092, 3754, 16563, 13140, -42808, 33109, -66220, 60550, -47600, -103414, 80426, -93071, 77932, -9000, 23926, -33810, 29722, -54198, 1265, -101672, 69453, -44308, -77861, 21090, -59357, -12746, 93664, 134480, -12830, -92307, -70488, 81490, -67267, -130, 76884, 4164, 45285, 9689, -1325, -108934, 71032, -9108, -64646, 11950, -89187, 13653, -107436, 83735, -620, 102744, 27092, -192398, 37732, -37600, 29325, -101805, 11914, 11976, -10030, -136890, 61472, 126700, -113508, -26275, -8004, -37082, 45469, 12596, -27720, -187108, -20275, -183783, 81043, -30140, 66687, 68020, 37045, 127527, 6115, -24343, 78580, -69559, 74948, -77245, 84688, 97683, -242211, -7107, 1375, -100797, -60235, -104300, -106274, -23695, 22710, 161177, 31221, 22920, 11470, -46434, 72029, -27498, -35842, 13560, -85792, -88004, 113062, -161518, -26525, -31589, -24771, -52419, 24215, -9900, -5460, 30333, 163408, 159596, -3665, 100576, 54816, 38794, -53452, 59155, -69686, -67334, -19830, 99352, 5395, 3250, 15276, 16947, -32166, 345, -159107, -63751, 75345, -155157, -8700, 146780, 223657, -90383, 25561, -20745, 55853, 53329, -55535, 128734, -81515, -84266, -192009, 118362, 86596, 69715, 164587, -17846, 14260, -28814, 63395, -188944, 55886, 69922, -57643, -7725, -50756, 165772, 95841, -20198, -45840, 68285, -176726, -85900, 44227, 37525, -16780, -66816, 260534, -42748, -31215, -52624, 2869, 226048, -88037, -17925, -47515, 145782, -87500, 159495, -26925, 61675, 13591, -150569, 72896, 1965, 207836, -192069, 59231, 25885, 47420, -247850, 93656, -233829, -8970, 109065, -64953, 63712, -16155, 100046, -55400, 299586, -15812, 27935, 123828, 375], 'weight': 4, 'weight_parity': 1}