Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 8000, 'analytic_conductor': 33.07838818683018, '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': [320, 4, [191, 261, 257], [4, 4, 3]], 'cm_discs': [], 'conrey_index': 193, '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]], [13, [87454385847432, -1060801954680, 6433644100, -8252288, 1922, -62, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67555025286594880, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 800, 'hecke_ring_index_factorization': [[2, 5], [5, 2]], 'hecke_ring_index_proved': True, 'id': 43339, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '320.5.p.p', 'level': 320, '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': '320.5.p', 'trace_display': [0, 8, 4, -40], 'trace_hash': 133666894823808099, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.096', 'prec': 7}, {'__RealLiteral__': 0, 'data': '5.544', 'prec': 14}, {'__RealLiteral__': 0, 'data': '3.205', 'prec': 14}, {'__RealLiteral__': 0, 'data': '114.439', 'prec': 20}, {'__RealLiteral__': 0, 'data': '147.786', 'prec': 20}, {'__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}