Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 2000, 'analytic_conductor': 8.269597046707545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 4, 'char_parity': -1, 'char_values': [80, 4, [31, 21, 17], [4, 4, 1]], 'cm_discs': [], 'conrey_index': 17, 'dim': 6, 'field_disc': -313431616, 'field_disc_factorization': [[-1, 1], [2, 6], [2213, 2]], 'field_poly': [144, 0, 145, 0, 27, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [64800, -65520, 33124, 1096, 32, -8, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022628640260176, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 800, 'hecke_ring_index_factorization': [[2, 5], [5, 2]], 'hecke_ring_index_proved': True, 'id': 14892, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '80.5.p.g', 'level': 80, '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': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '40.5.l.c', 'nf_label': '6.0.313431616.3', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{1}+\\beta _{3})q^{3}+(-1+7\\beta _{1}+\\beta _{3}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '4.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '80.5.p', 'trace_display': [0, 8, -4, 40], 'trace_hash': 1289253274991942023, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 4}, {'__RealLiteral__': 0, 'data': '5.544', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.062', 'prec': 7}, {'__RealLiteral__': 0, 'data': '114.439', 'prec': 20}, {'__RealLiteral__': 0, 'data': '27.587', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3686.641', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.247', 'prec': 10}, 'traces': [6, 0, 8, 0, -4, 0, 40, 0, 0, 0, -72, 0, -62, 0, 280, 0, 418, 0, 0, 0, 1736, 0, 1760, 0, -2974, 0, -2248, 0, 0, 0, -2864, 0, -8, 0, 4224, 0, 5366, 0, 0, 0, 1656, 0, 2760, 0, -14678, 0, 432, 0, 0, 0, -15840, 0, 534, 0, 136, 0, 12576, 0, 0, 0, 216, 0, 19552, 0, -15082, 0, 1336, 0, 0, 0, -2512, 0, 20230, 0, -22240, 0, 5832, 0, 0, 0, -16526, 0, 22736, 0, -6798, 0, 22608, 0, 0, 0, -12848, 0, 36520, 0, -33064, 0, -9418, 0, 0, 0, -35244, 0, -16, 0, 19320, 0, 54280, 0, 0, 0, 37408, 0, 34290, 0, -57584, 0, 12826, 0, 0, 0, -74710, 0, -11464, 0, 5276, 0, -13624, 0, 0, 0, -10296, 0, 11584, 0, -82920, 0, -33386, 0, 0, 0, 17352, 0, 17480, 0, 16448, 0, 66288, 0, 0, 0, 65104, 0, -33418, 0, 42248, 0, -26270, 0, 0, 0, 82712, 0, -75160, 0, 840, 0, -89952, 0, 0, 0, -38440, 0, -30090, 0, 22544, 0, 15808, 0, 0, 0, -56452, 0, 73720, 0, 19286, 0, -6952, 0, 0, 0, -46576, 0, -26558, 0, 316040, 0, 26182, 0, 0, 0, 172792, 0, -69008, 0, -14776, 0, -217896, 0, 0, 0, -33608, 0, -218264, 0, 102008, 0, 84568, 0, 0, 0, 307692, 0, -20024, 0, -91008, 0, -4928, 0, 0, 0, 45104, 0, -115182, 0, 253736, 0, -44544, 0, 0, 0, -193064, 0, -190120, 0, 2614, 0, -345480, 0, 0, 0, -189336, 0, 57416, 0, 32120, 0, -158030, 0, 0, 0, 164720, 0, 92856, 0, 173106, 0, 293664, 0, 0, 0, 531296, 0, -308104, 0, 60056, 0, 8114, 0, 0, 0, 222872, 0, -370448, 0, 235680, 0, -164888, 0, 0, 0, -537968, 0, -126430, 0, -176296, 0, -75072, 0, 0, 0, -578584, 0, -30912, 0, 73288, 0, 323128, 0, 0, 0, 485600, 0, 268866, 0, -122032, 0, -283886, 0, 0, 0, 36120, 0, 155496, 0, 426358, 0, 14936, 0, 0, 0, 332952, 0, 237970, 0, -417968, 0, 170566, 0, 0, 0, 80336, 0, -52056, 0, 84640, 0, 104608, 0, 0, 0, 411344, 0, 307046, 0, -213240, 0, -329560, 0, 0, 0, -378938, 0, -103000, 0, -304846, 0, -144280, 0, 0, 0, -454080, 0, 257286, 0, -527040, 0, -365520, 0, 0, 0, -167448, 0, 726472, 0, -44616, 0, 966992, 0, 0, 0, 457424, 0, 162776, 0, -8000, 0, 933174, 0, 0, 0, -124660, 0, -667888, 0, -339156, 0, -116888, 0, 0, 0, -1286224, 0, 187424, 0, -507024, 0, 641344, 0, 0, 0, -787656, 0, 1042232, 0, -579898, 0, 279208, 0, 0, 0, -165184, 0, 132406, 0, 525840, 0, -335392, 0, 0, 0, 343654, 0, 309744, 0, -182176, 0, -532248, 0, 0, 0, -317040, 0, -41496, 0, -282408, 0, 277698, 0, 0, 0, 876692, 0, 436800, 0, -998120, 0, -273328, 0, 0, 0, -1272048, 0, -402472, 0, 593216, 0, 859566, 0, 0, 0, -707260, 0, 651128, 0, -921194, 0, -150536, 0, 0, 0, -210376, 0, 739728, 0, 83872, 0, 233368, 0, 0, 0, 642344, 0, 290960, 0, 39576, 0, 750232, 0, 0, 0, 924208, 0, 274016, 0, 122496, 0, 480616, 0, 0, 0, 1002660, 0, -230816, 0, -769560, 0, -1086976, 0, 0, 0, -396616, 0, -203096, 0, 552800, 0, -417984, 0, 0, 0, -551852, 0, -706384, 0, -208356, 0, 33120, 0, 0, 0, 193408, 0, 138752, 0, 597800, 0, -984698, 0, 0, 0, -344080, 0, 684504, 0, 684118, 0, -495200, 0, 0, 0, 114392, 0, -1673240, 0, -414664, 0, 858834, 0, 0, 0, 1702504, 0, -396408, 0, 1832826, 0, 449568, 0, 0, 0, 134176, 0, 1250758, 0, -312312, 0, 146432, 0, 0, 0, -671528, 0, -1468352, 0, 46420, 0, 853328, 0, 0, 0, 1140672, 0, -1152686, 0, 229480, 0, -1287118, 0, 0, 0, -2151008, 0, -279584, 0, 704326, 0, 133984, 0, 0, 0, 1085088, 0, -2167112, 0, -1289568, 0, -1225818, 0, 0, 0, 827672, 0, -1908704, 0, 3106720, 0, -1382024, 0, 0, 0, 1498800, 0, 2204774, 0, 183368, 0, -2222354, 0, 0, 0, 132792, 0, -1047200, 0, 1063584, 0, -643696, 0, 0, 0, 259216, 0, -675242, 0, 223240, 0, -1232218, 0, 0, 0, -149736, 0, 1075016, 0, -112650, 0, 2543216, 0, 0, 0, -176552, 0, 776, 0, -39592, 0, 416152, 0, 0, 0, 538520, 0, -1808616, 0, 1042520, 0, -691040, 0, 0, 0, -90944, 0, -1106056, 0, 161688, 0, 1753184, 0, 0, 0, -1553000, 0, 224504, 0, 1109888, 0, 1635560, 0, 0, 0, 3090912, 0, -805994, 0, 1482600, 0, -1038120, 0, 0, 0, 78592, 0, -1589048, 0, 1039940, 0, -3713608, 0, 0, 0, -2066608, 0, 1991640, 0, -171704, 0, -1056974, 0, 0, 0, 840556, 0, 330680, 0, -612766, 0, -914728, 0, 0, 0, 205280, 0, -2579726, 0, 1430848, 0, 1890648, 0, 0, 0, 1390032, 0, 758528, 0, -2731982, 0, -14296, 0, 0, 0, 911296, 0, -1004728, 0, 1191000, 0, 739634, 0, 0, 0, 1661120, 0, 175064, 0, 485704, 0, 3105736, 0, 0, 0, -3118680, 0, 1869768, 0, 1017784, 0, 1303264, 0, 0, 0, 298072, 0, 3270080, 0, -328040, 0, -2959936, 0, 0, 0, -1931664, 0, 1884234, 0, -111912, 0, -1069600, 0, 0, 0, 1201510, 0, -52616, 0, -4357994, 0, -848280, 0, 0, 0, 2142224, 0, -961358, 0, 1369552, 0, -2520618, 0, 0, 0, -1717648, 0, 48976, 0, -2933006, 0, -2246008, 0, 0, 0, -6309232, 0, -4439358, 0, -2614456, 0, 2353186, 0, 0, 0, 2561080, 0, 2447448, 0, 235200, 0, 1314616, 0, 0, 0, 828952, 0, 3069472, 0, 1513800, 0, 7072872, 0, 0, 0, 857604, 0, -4246616, 0, -593480, 0, 2173192, 0, 0, 0, 2642448, 0, 637240, 0, -1474520, 0, 359656, 0, 0, 0, -2591816, 0, 6149168, 0, -2175454, 0, 2670376, 0, 0, 0, -824920, 0, -430072, 0, 246312, 0, -1753422, 0, 0, 0, -2523332, 0, -1254424, 0, -3928480, 0, -4865768, 0, 0, 0, -6383216, 0, 3195138, 0, -1580088, 0, 587872, 0, 0, 0, 159082, 0, 3495760, 0, 1188806, 0, 2633744, 0, 0, 0, 2350984, 0, -1300576, 0, -421920, 0, 333334, 0, 0, 0, 17172, 0, 123816, 0, 2146662, 0, 2975192, 0, 0, 0, -5368992, 0, 6134776, 0, -4680048, 0, 1678786, 0, 0, 0], 'weight': 5, 'weight_parity': -1}