Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 4608, 'analytic_conductor': 16.992550081653295, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 72, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': 1, 'char_values': [288, 6, [127, 37, 65], [3, 3, 1]], 'cm_discs': [-8], 'conrey_index': 47, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, -2, 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': [[5, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1030859260192, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 40078, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, -8], [1, 1, 9, 4, -1, 6, 0], [1, 1, 72, 12, 1, 6, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '288.4.p.a', 'level': 288, 'level_is_powerful': True, '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, 3], 'level_radical': 6, 'minimal_twist': '72.4.l.a', 'nf_label': '4.0.576.1', 'prim_orbit_index': 12, 'qexp_display': 'q+(5-\\beta _{1}-5\\beta _{2})q^{3}+(-10\\beta _{1}-23\\beta _{2}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.1.d6', 'self_twist_discs': [-8], 'self_twist_type': 1, 'space_label': '288.4.p', 'trace_display': [0, 10, 0, 0], 'trace_hash': 1689290375450993471, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 4}, {'__RealLiteral__': 0, 'data': '3.481', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.370', 'prec': 10}, {'__RealLiteral__': 0, 'data': '86.902', 'prec': 17}, {'__RealLiteral__': 0, 'data': '26.814', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3030.120', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.647', 'prec': 10}, 'traces': [4, 0, 10, 0, 0, 0, 0, 0, -46, 0, 54, 0, 0, 0, 0, 0, 0, 0, -212, 0, 0, 0, 0, 0, 250, 0, -380, 0, 0, 0, 0, 0, 370, 0, 0, 0, 0, 0, 0, 0, -1566, 0, -290, 0, 0, 0, 0, 0, -686, 0, -1198, 0, 0, 0, 0, 0, 10, 0, 2538, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 860, 0, -1250, 0, 0, 0, 0, 0, -658, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1910, 0, 2000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, -160, 0, 0, 0, 0, 0, 3502, 0, 0, 0, 0, 0, 0, 0, 6750, 0, 1474, 0, 0, 0, 0, 0, 0, 0, -6860, 0, 0, 0, 0, 0, -7730, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3880, 0, 0, 0, 0, 0, -4394, 0, 7838, 0, 0, 0, 0, 0, -920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6230, 0, 0, 0, 0, 0, 2090, 0, 0, 0, 0, 0, 0, 0, 700, 0, 0, 0, 0, 0, 0, 0, 10638, 0, -12236, 0, 0, 0, 0, 0, 0, 0, 7118, 0, 0, 0, 0, 0, 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18214, 0, 0, 0, 0, 0, 0, 0, 21970, 0, 0, 0, 0, 0, 20140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19000, 0, 0, 0, 0, 0, 24334, 0, -62974, 0, 0, 0, 0, 0, -8120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21850, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13546, 0, -71010, 0, 0, 0, 0, 0, -7182, 0, -27038, 0, 0, 0, 0, 0, -39100, 0, 20900, 0, 0, 0, 0, 0, 0, 0, -31050, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14398, 0, 48050, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 85590, 0, 30706, 0, 0, 0, 0, 0, -31250, 0, 52750, 0, 0, 0, 0, 0, -122360, 0, 0, 0, 0, 0, 0, 0, 20034, 0, -28550, 0, 0, 0, 0, 0, 22684, 0, 0, 0, 0, 0, 0, 0, 39790, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -38380, 0, -23750, 0, 0, 0, 0, 0, -95858, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3956, 0, 0, 0, 0, 0, 73510, 0, -85114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37430, 0, 0, 0, 0, 0, -6532, 0, -38826, 0, 0, 0, 0, 0, 0, 0, 72148, 0, 0, 0, 0, 0, 0, 0, -38560, 0, 0, 0, 0, 0, 73990, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80212, 0, 20576, 0, 0, 0, 0, 0, 0, 0, 72198, 0, 0, 0, 0, 0, 0, 0, 13900, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37600, 0, 135810, 0, 0, 0, 0, 0, 0, 0, -75164, 0, 0, 0, 0, 0, 107710, 0, 0, 0, 0, 0, 0, 0, 25000, 0, 0, 0, 0, 0, 0, 0, -92610, 0, 0, 0, 0, 0, 0, 0, 48778, 0, 3440, 0, 0, 0, 0, 0, 160600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45646, 0, 0, 0, 0, 0, 0, 0, -81540, 0, 0, 0, 0, 0, -87860, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10580, 0, 0, 0, 0, 0, 0, 0, -63766, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26210, 0, 0, 0, 0, 0, -48200, 0, 0, 0, 0, 0, 0, 0, -70514, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36358, 0, 0, 0, 0, 0, 225080, 0, -11278, 0, 0, 0, 0, 0, 0, 0, 174690, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -59582, 0, 137870, 0, 0, 0, 0, 0, -14806, 0, 0, 0, 0, 0, 0, 0, -52110, 0, -94000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 82420, 0, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}