Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 6800, 'analytic_conductor': 25.075811752439762, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [425, 2, [52, 326], [2, 1]], 'cm_discs': [], 'conrey_index': 101, 'dim': 4, 'field_disc': 4669632, 'field_disc_factorization': [[2, 6], [3, 2], [11, 2], [67, 1]], 'field_poly': [1072, 0, 74, 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': [[2, [-8, -1, 1]], [3, [1072, 0, 74, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405480280489, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'id': 53768, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 2, 1, 2, 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': '425.4.d.c', 'level': 425, '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': [5, 17], 'level_radical': 85, 'minimal_twist': '17.4.b.a', 'nf_label': '4.0.4669632.2', 'prim_orbit_index': 2, 'qexp_display': 'q+(1-\\beta _{2})q^{2}+\\beta _{1}q^{3}+(1-\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '425.4.d', 'trace_display': [2, 0, 0, 0], 'trace_hash': 850013522756443547, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.597', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1.354', 'prec': 14}, {'__RealLiteral__': 0, 'data': '70.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '66.395', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1951.833', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.513', 'prec': 10}, 'traces': [4, 2, 0, 2, 0, 0, 0, 18, -40, 0, 0, 0, -140, 0, 0, -238, -112, -218, -112, 0, 124, 0, 0, 0, 0, -532, 0, 0, 0, 0, 0, -494, 1036, 406, 0, -218, 0, -56, 0, 0, 0, 1184, 520, 0, 0, 0, -952, 0, 312, 0, 1160, -532, 576, 0, 0, 0, 0, 0, -1176, 0, 0, 0, 0, 1426, 0, 1904, 240, 406, 1204, 0, 0, 1206, 0, 0, 0, -56, -868, 0, 0, 0, -2408, 0, 2856, 1184, 0, -2248, 168, 0, 1988, 0, 0, 0, -1060, 448, 0, 0, 0, -306, 0, 0, 1596, 3088, 672, 2604, 0, -2748, 0, 0, 0, 0, 4312, 0, 0, 0, 0, 0, 4172, -5208, -1928, 0, -1928, 0, -2624, 0, 0, 0, -2000, 2322, 0, 0, 0, 1904, 0, -1992, 0, -3738, -2756, -4480, 0, 0, 0, 0, 0, 3766, 0, 0, 0, 0, -5448, 0, -5280, -504, -1652, -8288, 0, 0, 1568, 0, 0, 0, 5684, -2590, 0, 0, 0, 4200, 0, -7296, 2580, 0, 1120, -2248, 0, -6384, 0, 0, 0, 2380, -5504, 0, 0, 0, 8968, 0, 0, -992, -8120, 448, -4624, 0, 15160, 0, 0, 0, 0, -306, 0, 0, 0, 0, 0, -11676, 6552, 3088, 0, 336, 0, 11564, 0, 0, 0, -2748, -2940, 0, 0, 0, -68, 0, 5760, 0, -2548, 1232, 2408, 0, 0, 0, 0, 0, -12740, 0, 0, 0, 0, 13636, 0, -5208, 11900, -9280, 8776, 0, 0, -10666, 0, 0, 0, -18208, 3920, 0, 0, 0, 16128, 0, -8428, -19744, 0, 2194, 12908, 0, 3080, 0, 0, 0, -6672, -5040, 0, 0, 0, -1992, 0, 0, 5880, 3430, -20048, -4348, 0, -4480, 0, 0, 0, 0, -7352, 0, 0, 0, 0, 0, 15584, 6326, -444, 0, -3616, 0, -6776, 0, 0, 0, 9296, 2556, 0, 0, 0, -19536, 0, 6664, 0, 98, 16968, -8288, 0, 0, 0, 0, 0, 22036, 0, 0, 0, 0, -1176, 0, 10332, -9632, 3136, -2590, 0, 0, -2968, 0, 0, 0, -18440, 4200, 0, 0, 0, -15232, 0, 33630, 22064, 0, 7420, 6104, 0, 19896, 0, 0, 0, -6384, 27328, 0, 0, 0, 8568, 0, 0, 2380, 12236, 680, 10904, 0, -24300, 0, 0, 0, 0, 36560, 0, 0, 0, 0, 0, -992, -3260, -21616, 0, -10752, 0, 10624, 0, 0, 0, 8768, 46480, 0, 0, 0, 9848, 0, -3012, 0, -2744, 4638, -17132, 0, 0, 0, 0, 0, -3472, 0, 0, 0, 0, -11676, 0, -1344, -30184, -12336, -11648, 0, 0, 336, 0, 0, 0, 20524, -48212, 0, 0, 0, -1444, 0, 3976, 23844, 0, -12096, -27592, 0, -55664, 0, 0, 0, -35476, 8480, 0, 0, 0, 64128, 0, 0, -348, -4508, 19760, 1232, 0, 42784, 0, 0, 0, 0, 18368, 0, 0, 0, 0, 0, -18884, 3332, 4672, 0, -33376, 0, 9088, 0, 0, 0, -1792, 13636, 0, 0, 0, 27048, 0, 1792, 0, -9280, 12456, -11584, 0, 0, 0, 0, 0, -10666, 0, 0, 0, 0, 27748, 0, -3152, -18208, 5376, 14896, 0, 0, 9156, 0, 0, 0, -4068, -12264, 0, 0, 0, 31360, 0, -19744, -34440, 0, -58368, 26642, 0, 10612, 0, 0, 0, -34496, -36632, 0, 0, 0, 8400, 0, 0, -16272, 7352, -71344, -7976, 0, 39480, 0, 0, 0, 0, 15864, 0, 0, 0, 0, 0, 61152, 16216, 10598, 0, -63616, 0, -4348, 0, 0, 0, 40992, 10108, 0, 0, 0, -61356, 0, 16912, 0, -9604, -45916, -68264, 0, 0, 0, 0, 0, 10400, 0, 0, 0, 0, 20992, 0, -202, 51660, -51966, -46032, 0, 0, -27680, 0, 0, 0, -77308, 62496, 0, 0, 0, 97160, 0, -30464, -23072, 0, 2556, 23500, 0, 27424, 0, 0, 0, 10272, -19536, 0, 0, 0, 13832, 0, 0, 20384, 98, -59736, 168, 0, 51072, 0, 0, 0, 0, 50960, 0, 0, 0, 0, 0, -29008, 22036, -27104, 0, -36248, 0, 95956, 0, 0, 0, -4452, 44688, 0, 0, 0, -21168, 0, -9632, 0, -11368, -2408, -1134, 0, 0, 0, 0, 0, -52304, 0, 0, 0, 0, 12248, 0, -6216, 27080, -75712, -6552, 0, 0, -48216, 0, 0, 0, -62776, -23168, 0, 0, 0, 33630, 0, -12992, 24064, 0, 38244, 6944, 0, 6104, 0, 0, 0, -13384, 22344, 0, 0, 0, 55804, 0, 0, 46032, 33952, -3892, 29680, 0, -20, 0, 0, 0, 0, 52332, 0, 0, 0, 0, 0, -756, 15316, -10976, 0, 680, 0, 43600, 0, 0, 0, -12150, 75296, 0, 0, 0, -20552, 0, -3460, 0, -49672, 36560, -93464, 0, 0, 0, 0, 0, 11408, 0, 0, 0, 0, -1536, 0, -9220, -45192, -21616, 31500, 0, 0, 50176, 0, 0, 0, 10624, -98236, 0, 0, 0, -28476, 0, 49336, 8768, 0, -4480, 105840, 0, 7700, 0, 0, 0, -33852, 4264, 0, 0, 0, 121188, 0, 0, 20580, 21728, 41664, -15330, 0, 20144, 0, 0, 0, 0, 35056, 0, 0, 0, 0, 0, -65016, -33152, 39592, 0, -28196, 0, -40320, 0, 0, 0, -8088, 94500, 0, 0, 0, -1344, 0, -8624, 0, -86576, -14560, -117628, 0, 0, 0, 0, 0, 3024, 0, 0, 0, 0, -12992, 0, -129304, -17108, -15204, -107728, 0, 0, -15248, 0, 0, 0, 50516, -100316, 0, 0, 0, 39872, 0, -13020, 3860, 0, -81928, -12096, 0, -71744, 0, 0, 0, -196000, 14168, 0, 0, 0, 144048, 0, 0, 41860, 5264, 8480, -83300, 0, 21168, 0, 0, 0, 0, 64128, 0, 0, 0, 0, 0, -10998, 35072, -4508, 0, -67736, 0, 25872, 0, 0, 0, 42784, 26656, 0, 0, 0, 29008, 0, 7896, 0, -58632, 127456, -69152, 0, 0, 0, 0, 0, 58884, 0, 0, 0, 0, 9236, 0, 3332, -37276, -12448, 40248, 0, 0, -60116, 0, 0, 0, -126400, -6720, 0, 0, 0, -8736, 0, 88260, 74872, 0, -62076, 118048, 0, 167632, 0, 0, 0, -72352, 102312, 0, 0, 0, 1792, 0, 0, 35672, 49536, -101316, 8076, 0, -11584, 0, 0, 0, 0, 110616, 0, 0, 0, 0, 0, 41736, 59238, -32480, 0, -41160, 0, 59516, 0, 0, 0, 55456, 225008, 0, 0, 0, -147304, 0, 106464, 0, 43344, 1904, 14896, 0, 0, 0, 0, 0, 23520, 0, 0, 0, 0, 78848, 0], 'weight': 4, 'weight_parity': 1}