Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 1856, 'analytic_conductor': 3.7050586537874097, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 29, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 14, 'char_parity': 1, 'char_values': [464, 14, [175, 117, 321], [14, 14, 1]], 'cm_discs': [], 'conrey_index': 33, 'dim': 12, 'field_disc': 1157018619904, 'field_disc_factorization': [[2, 12], [7, 10]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 28, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, -29, 0, 253, 0, 139, 0, 57, 0, -1, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008848555737552, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 57411, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 29, 5, 1, 14, 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': '464.2.y.c', 'level': 464, '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, 29], 'level_radical': 58, 'minimal_twist': '58.2.e.a', 'nf_label': '12.0.1157018619904.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\zeta_{28}-\\zeta_{28}^{5}+\\zeta_{28}^{11})q^{3}+(2\\zeta_{28}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c14', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '464.2.y', 'trace_display': [0, 0, -2, -4], 'trace_hash': 1966275384034223816, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 7}, {'__RealLiteral__': 0, 'data': '11.455', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.051', 'prec': 14}, {'__RealLiteral__': 0, 'data': '462.974', 'prec': 20}, {'__RealLiteral__': 0, 'data': '972.551', 'prec': 20}, {'__RealLiteral__': 0, 'data': '34405.383', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.107', 'prec': 10}, 'traces': [12, 0, 0, 0, -2, 0, -4, 0, -4, 0, 0, 0, -26, 0, 14, 0, 0, 0, 0, 0, 14, 0, 16, 0, 22, 0, 0, 0, 18, 0, -28, 0, -10, 0, -4, 0, -28, 0, -28, 0, 0, 0, 28, 0, -4, 0, 14, 0, -8, 0, 4, 0, 30, 0, -28, 0, -20, 0, 48, 0, -28, 0, -22, 0, 2, 0, 16, 0, -28, 0, -30, 0, 42, 0, 0, 0, 14, 0, -28, 0, 26, 0, 0, 0, 28, 0, -4, 0, 14, 0, 4, 0, 66, 0, 0, 0, -28, 0, 0, 0, 28, 0, 22, 0, -70, 0, -32, 0, -26, 0, 54, 0, -42, 0, 16, 0, -24, 0, 56, 0, -14, 0, 48, 0, -66, 0, -56, 0, -32, 0, 0, 0, 0, 0, -28, 0, -42, 0, -64, 0, 34, 0, 14, 0, 4, 0, 0, 0, 12, 0, -10, 0, 98, 0, 0, 0, 0, 0, -56, 0, 46, 0, 0, 0, 4, 0, -10, 0, -4, 0, 84, 0, 12, 0, -68, 0, 42, 0, 0, 0, -6, 0, 6, 0, 84, 0, -20, 0, 70, 0, 0, 0, -56, 0, -84, 0, -38, 0, 6, 0, -28, 0, -48, 0, -56, 0, 46, 0, -12, 0, 56, 0, 42, 0, 0, 0, -84, 0, -4, 0, 42, 0, 48, 0, -40, 0, 60, 0, -28, 0, 92, 0, -68, 0, 56, 0, 12, 0, 52, 0, 14, 0, 0, 0, 48, 0, 28, 0, 0, 0, -28, 0, 0, 0, 130, 0, 84, 0, 0, 0, -90, 0, -42, 0, 2, 0, -56, 0, -42, 0, -112, 0, 0, 0, 28, 0, 62, 0, -42, 0, 40, 0, -96, 0, 106, 0, -126, 0, 16, 0, -80, 0, -42, 0, 76, 0, 34, 0, -16, 0, -84, 0, 42, 0, 14, 0, 0, 0, -14, 0, 0, 0, 76, 0, 48, 0, 14, 0, -50, 0, 14, 0, -68, 0, 20, 0, 42, 0, -56, 0, 0, 0, -84, 0, 114, 0, 0, 0, 36, 0, -120, 0, -30, 0, 112, 0, -24, 0, -48, 0, -14, 0, 54, 0, 12, 0, 22, 0, 84, 0, -90, 0, 56, 0, 0, 0, 14, 0, 14, 0, 32, 0, 8, 0, 0, 0, -102, 0, -84, 0, -52, 0, 72, 0, -14, 0, -56, 0, 0, 0, -70, 0, 14, 0, 0, 0, 82, 0, -54, 0, -14, 0, 84, 0, 12, 0, -144, 0, 42, 0, -32, 0, 82, 0, 28, 0, 0, 0, -28, 0, 0, 0, 0, 0, 84, 0, 0, 0, 108, 0, 30, 0, 0, 0, -116, 0, 56, 0, 10, 0, -44, 0, 0, 0, -126, 0, 0, 0, 126, 0, 12, 0, -182, 0, 60, 0, 6, 0, 20, 0, 14, 0, -56, 0, -116, 0, 0, 0, 32, 0, -22, 0, -36, 0, -28, 0, -94, 0, 154, 0, 0, 0, 56, 0, -84, 0, 62, 0, -26, 0, -56, 0, 90, 0, 98, 0, -88, 0, -4, 0, 56, 0, 70, 0, 0, 0, 28, 0, -58, 0, -14, 0, -58, 0, -48, 0, 68, 0, 140, 0, 64, 0, 232, 0, 126, 0, 6, 0, 72, 0, -100, 0, 84, 0, -102, 0, 70, 0, 0, 0, 0, 0, -70, 0, 30, 0, 68, 0, 70, 0, -44, 0, -168, 0, -100, 0, -120, 0, -154, 0, -140, 0, 0, 0, 98, 0, -32, 0, 0, 0, -44, 0, 42, 0, 174, 0, -14, 0, -56, 0, 28, 0, -98, 0, -24, 0, -20, 0, -2, 0, 42, 0, 54, 0, -28, 0, 0, 0, -98, 0, -154, 0, -80, 0, 84, 0, 112, 0, -36, 0, -168, 0, 110, 0, -22, 0, -70, 0, -28, 0, 0, 0, 42, 0, 48, 0, -196, 0, -18, 0, 26, 0, 164, 0, -140, 0, 8, 0, -116, 0, 84, 0, 28, 0, 10, 0, -30, 0, -70, 0, -92, 0, 70, 0, 0, 0, -84, 0, 168, 0, -30, 0, 206, 0, 0, 0, 164, 0, -112, 0, 40, 0, 60, 0, 140, 0, -112, 0, 0, 0, -28, 0, 12, 0, 14, 0, -2, 0, -156, 0, 112, 0, 28, 0, 20, 0, 124, 0, 196, 0, -40, 0, 104, 0, -50, 0, 56, 0, -32, 0, 56, 0, 0, 0, 196, 0, -112, 0, -26, 0, 2, 0, 84, 0, -156, 0, 112, 0, 194, 0, 48, 0, 182, 0, -84, 0, 0, 0, 140, 0, 6, 0, -70, 0, 68, 0, -112, 0, -22, 0, -126, 0, -44, 0, -136, 0, 0, 0, -46, 0, 10, 0, -220, 0, -14, 0, -104, 0, -28, 0, 0, 0, 84, 0, -294, 0, -116, 0, 80, 0, 42, 0, 64, 0, -84, 0, 76, 0, -122, 0, 14, 0, 196, 0, 0, 0, 56, 0, -16, 0, 224, 0, -36, 0, 60, 0, 38, 0, -112, 0, 104, 0, -48, 0, -280, 0, 68, 0, 64, 0, 80, 0, -112, 0, 26, 0, 0, 0, 0, 0, -56, 0, 84, 0, 116, 0, 64, 0, 28, 0, -98, 0, 56, 0, -158, 0, 84, 0, -14, 0, -112, 0, 0, 0, -42, 0, 100, 0, -84, 0, -16, 0, -58, 0, 180, 0, -168, 0, 80, 0, -184, 0, -112, 0, 148, 0, -30, 0, -76, 0, -168, 0, 40, 0, -70, 0, 0, 0, 56, 0, 112, 0, -88, 0, 154, 0, 14, 0, -104, 0, -56, 0, 34, 0, -6, 0, 140, 0, 70, 0, 0, 0, -98, 0, 48, 0, 14, 0, 254, 0, 62, 0, -12, 0, -168, 0, 16, 0, -12, 0, 140, 0, -182, 0, -6, 0, 44, 0, -224, 0, -44, 0, 140, 0, 0, 0, 196, 0, -112, 0, -82, 0, -2, 0, 112, 0, 20, 0, -28, 0, 30, 0, 160, 0, 154, 0, 56, 0, 0, 0, -224, 0, 96, 0, 42, 0, 40, 0, -28, 0, -38, 0, 224, 0, 144, 0, -72, 0, 154, 0, -142, 0, 78, 0, -64, 0, 154, 0, -80, 0], 'weight': 2, 'weight_parity': 1}