Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 14880, 'analytic_conductor': 29.7043495519163, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -1], [31, 1]], 'atkin_lehner_string': '++-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3720, 1, [2791, 1861, 1241, 2977, 1801], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 92692, 'field_disc_factorization': [[2, 2], [23173, 1]], 'field_poly': [9, 8, -8, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [2, -30, -16, 1, 1]], [11, [56, 44, -26, -1, 1]], [13, [-12, -14, 28, -10, 1]], [17, [-224, 100, 24, -12, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953597576, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 183915, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3720.2.a.t', 'level': 3720, '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, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '3720.2.a.t', 'nf_label': '4.4.92692.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}-\\beta _{2}q^{7}+q^{9}+(1-\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3720.2.a', 'trace_display': [0, -4, 4, -1], 'trace_hash': 863028302954317578, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.814', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.046', 'prec': 7}, {'__RealLiteral__': 0, 'data': '38.591', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '593.250', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 4}, 'traces': [4, 0, -4, 0, 4, 0, -1, 0, 4, 0, 1, 0, 10, 0, -4, 0, 12, 0, 5, 0, 1, 0, 1, 0, 4, 0, -4, 0, 2, 0, -4, 0, -1, 0, -1, 0, 2, 0, -10, 0, 4, 0, -9, 0, 4, 0, 0, 0, 5, 0, -12, 0, 13, 0, 1, 0, -5, 0, -6, 0, 0, 0, -1, 0, 10, 0, -8, 0, -1, 0, -9, 0, 7, 0, -4, 0, 33, 0, 5, 0, 4, 0, 2, 0, 12, 0, -2, 0, 5, 0, -2, 0, 4, 0, 5, 0, 6, 0, 1, 0, -3, 0, 22, 0, 1, 0, -1, 0, -2, 0, -2, 0, 15, 0, 1, 0, 10, 0, 14, 0, 9, 0, -4, 0, 4, 0, 0, 0, 9, 0, 6, 0, 31, 0, -4, 0, 26, 0, 18, 0, 0, 0, 22, 0, 2, 0, -5, 0, 19, 0, -28, 0, 12, 0, -4, 0, 9, 0, -13, 0, 15, 0, -8, 0, -1, 0, 15, 0, -8, 0, 5, 0, 24, 0, -1, 0, 6, 0, 0, 0, -35, 0, 0, 0, 2, 0, 4, 0, 1, 0, -4, 0, 54, 0, -10, 0, 22, 0, 29, 0, 8, 0, 18, 0, 4, 0, 1, 0, 15, 0, -23, 0, 9, 0, -9, 0, 1, 0, -7, 0, 14, 0, 48, 0, 4, 0, 19, 0, 5, 0, -33, 0, 43, 0, 0, 0, -5, 0, 2, 0, -4, 0, -4, 0, 5, 0, -6, 0, -2, 0, -8, 0, 13, 0, -12, 0, 77, 0, 0, 0, 2, 0, 44, 0, 13, 0, -5, 0, 28, 0, -45, 0, 2, 0, 1, 0, -14, 0, -4, 0, 26, 0, 0, 0, -5, 0, -36, 0, 28, 0, -6, 0, 50, 0, -6, 0, -1, 0, 0, 0, -29, 0, 3, 0, 0, 0, 20, 0, -22, 0, -14, 0, -2, 0, -1, 0, 60, 0, 60, 0, 1, 0, 48, 0, 10, 0, 2, 0, 16, 0, -84, 0, 2, 0, -8, 0, -8, 0, -15, 0, -1, 0, 55, 0, -1, 0, 20, 0, 6, 0, -10, 0, 22, 0, -9, 0, -14, 0, 41, 0, -19, 0, -9, 0, 7, 0, -14, 0, 4, 0, -23, 0, -13, 0, -4, 0, 46, 0, 19, 0, 0, 0, 66, 0, 33, 0, -9, 0, -14, 0, -24, 0, -6, 0, 5, 0, -53, 0, -31, 0, 41, 0, -10, 0, 4, 0, 20, 0, 10, 0, -26, 0, -16, 0, 2, 0, -18, 0, -18, 0, -52, 0, 0, 0, 12, 0, -2, 0, -22, 0, -14, 0, -35, 0, -2, 0, 19, 0, 6, 0, 5, 0, 33, 0, 5, 0, -19, 0, 26, 0, -40, 0, 28, 0, -2, 0, -40, 0, -12, 0, -10, 0, 18, 0, 4, 0, -10, 0, -62, 0, -9, 0, 23, 0, 5, 0, 13, 0, -9, 0, 24, 0, -15, 0, 6, 0, -4, 0, 8, 0, -85, 0, 18, 0, 1, 0, -43, 0, 8, 0, -15, 0, 114, 0, -3, 0, 8, 0, 32, 0, -65, 0, -5, 0, 22, 0, -38, 0, -24, 0, 38, 0, -83, 0, 1, 0, -12, 0, -47, 0, -6, 0, 4, 0, -1, 0, 0, 0, 16, 0, -20, 0, 35, 0, -2, 0, -24, 0, 0, 0, -20, 0, -83, 0, -2, 0, -67, 0, 34, 0, -4, 0, 2, 0, 15, 0, -1, 0, -17, 0, -22, 0, 4, 0, 1, 0, -52, 0, -54, 0, -14, 0, -25, 0, 10, 0, -40, 0, -5, 0, -22, 0, 72, 0, 14, 0, -29, 0, 41, 0, -88, 0, -8, 0, 9, 0, 1, 0, -18, 0, -54, 0, -34, 0, -4, 0, 7, 0, 14, 0, -1, 0, 45, 0, 4, 0, -15, 0, -10, 0, -53, 0, 23, 0, 0, 0, -22, 0, -9, 0, 28, 0, -57, 0, 9, 0, -11, 0, -22, 0, -1, 0, -6, 0, 6, 0, 7, 0, -54, 0, -44, 0, -14, 0, 31, 0, -34, 0, -48, 0, -78, 0, -18, 0, -4, 0, -99, 0, -6, 0, -19, 0, -17, 0, 26, 0, -5, 0, 24, 0, -39, 0, 33, 0, 18, 0, -76, 0, -43, 0, 5, 0, -16, 0, 0, 0, -61, 0, -1, 0, 5, 0, -1, 0, 22, 0, -2, 0, -16, 0, -40, 0, 4, 0, 2, 0, 29, 0, 4, 0, -92, 0, 12, 0, -5, 0, -10, 0, 12, 0, 6, 0, 45, 0, 19, 0, 2, 0, -51, 0, -22, 0, 8, 0, -28, 0, -82, 0, -13, 0, 11, 0, -82, 0, 12, 0, -18, 0, -41, 0, -77, 0, 59, 0, -4, 0, 0, 0, -24, 0, -21, 0, -2, 0, 9, 0, 55, 0, -44, 0, -1, 0, -76, 0, -13, 0, -118, 0, 92, 0, 5, 0, -57, 0, 15, 0, -28, 0, 29, 0, -131, 0, 45, 0, -8, 0, -99, 0, -2, 0, 16, 0, 68, 0, -1, 0, -110, 0, -15, 0, 14, 0, 108, 0, 15, 0, 4, 0, 1, 0, 20, 0, -26, 0, -8, 0, -6, 0, 0, 0, -2, 0, 5, 0, 5, 0, 40, 0, -20, 0, 36, 0, 21, 0, 24, 0, -28, 0, -117, 0, 36, 0, 6, 0, -1, 0, 34, 0, -50, 0, 90, 0, 49, 0, 6, 0, 40, 0, -132, 0, 1, 0, 70, 0, 0, 0, 0, 0, -2, 0, -76, 0, 29, 0, -35, 0, -60, 0, -3, 0, -98, 0, -24, 0, 0, 0, -116, 0, -10, 0, -20, 0, 4, 0, 2, 0, 22, 0, -75, 0, 90, 0, 14, 0, 4, 0, -24, 0, 2, 0, 24, 0, 60, 0, 1, 0, -48, 0, 22, 0, -60, 0, -28, 0, -4, 0, -60, 0, -52, 0, 4, 0, -1, 0, 54, 0, 114, 0, -48, 0, -20, 0, -34, 0, -10, 0, 52, 0, 59, 0, -2, 0, 56, 0, 22, 0, -16, 0, -25, 0, 73, 0, 84, 0, 29, 0, 16, 0, -2, 0, 26, 0, -62, 0, 8, 0, 5, 0, -48, 0, 8, 0, -11, 0, 18, 0, 15, 0, 2, 0, 83, 0, 1, 0, 4, 0, -24, 0, -55, 0, 18, 0, -48, 0, 1, 0, 64, 0, 66, 0, -20, 0, 93, 0, 15, 0, -6, 0, -79, 0, -48, 0, 10, 0, -23, 0, -106, 0, -22, 0, 63, 0, 33, 0, 9, 0, -14, 0, 15, 0, 14, 0, 42, 0, -9, 0, -41, 0, -6, 0, -22, 0, 19, 0, 1, 0, 152, 0, 9, 0, -91, 0, 66, 0, -7, 0, 30, 0, 99, 0, 14, 0, 56, 0, 14, 0, -4, 0, 0, 0, -1, 0, 23, 0, 48, 0, -43, 0, 13, 0, -22, 0, 110, 0, 4, 0, -8, 0, 78, 0, -46, 0, -16, 0, 19, 0, -19, 0, -106, 0, -98, 0, 0, 0, 5, 0, -2, 0, -66, 0, 19, 0, -93, 0, -33, 0, 24, 0, 74, 0, 9, 0, 1, 0, 43, 0, 14, 0, -71, 0, 4, 0, 24, 0, 0, 0, -93, 0, 6, 0, 106, 0, -13, 0, -5, 0, 62, 0, -104, 0, 53, 0, 68, 0, 2, 0, 31, 0, -68, 0, -36, 0, -41, 0, -4, 0, 38, 0, 10, 0, -138, 0, 47, 0, -4, 0, -3, 0, 107, 0, -20, 0, 128, 0, 5, 0, -10, 0, 11, 0, -9, 0, 26, 0, -6, 0, 9, 0, 16, 0, 58, 0, 31, 0, -2, 0, 100, 0, 27, 0, 18, 0, -32, 0, -8, 0, 18, 0, 58, 0, 4, 0, 52, 0, 13, 0, 9, 0, 0, 0, -4, 0, -130, 0, -12, 0, -114, 0, -28, 0, 2, 0, -60, 0, 77, 0, 22, 0, -20, 0, -44, 0, 14, 0, 0, 0, -125, 0, 35, 0, -4, 0, 72, 0, 2, 0, -59, 0, 164, 0, -19, 0, 54, 0, 44, 0, -6, 0, 0, 0, -19, 0, -5, 0, 13, 0, 20, 0, -33, 0, -75, 0, 9, 0, -5, 0, 146, 0, 68, 0, 19, 0, 40, 0, 28, 0, -26, 0, -83, 0, 18, 0, 40, 0, -45, 0, 28, 0, -28, 0, 66, 0, -70, 0, 2, 0, 134, 0, -128, 0, 40, 0, 32, 0, 1, 0, 12, 0, 44, 0, -1, 0, 10, 0, -14, 0, -59, 0, -18, 0, -44, 0, 9, 0, -4, 0, -172, 0, 76, 0, 10, 0, 10, 0, 26, 0, 62, 0, -40, 0, 120, 0, 9, 0, 0, 0, 10, 0, -23, 0, -8, 0, 9, 0, -5, 0, -21, 0, 69, 0, -13, 0, -2, 0, -36, 0, 9, 0, 22, 0, -150, 0, -24, 0, 28, 0, -50, 0, 15, 0, -36, 0, 74, 0, -6, 0, 0, 0, 112, 0, 4, 0, 129, 0, 50, 0, -8, 0, 62, 0, 118, 0, 85, 0, -6, 0, 39, 0, -18, 0, 145, 0, -34, 0, -1, 0, -3, 0, -5, 0, 43, 0, 8, 0, 0, 0, -8, 0, -57, 0, -39, 0, 15, 0, -29, 0, 58, 0, -114, 0, -78, 0, -82, 0, 3, 0, -4, 0, -5, 0, -8, 0, 82, 0, 0, 0, -32, 0, 18, 0, -146, 0, 65, 0, 20, 0, -134, 0, 5, 0, -40, 0, 76, 0, -22, 0, 0, 0, 76, 0, 38, 0, -16, 0, -14, 0, 24, 0, 43, 0, 22, 0, -38, 0, -2, 0, 36, 0, 83, 0, -69, 0, -40, 0, -1, 0, 0, 0, 84, 0, 12, 0, 102, 0, 60, 0, 47, 0, -119, 0, 52, 0, 6, 0, 60, 0, 59, 0, -4, 0, 94, 0, -135, 0, 1, 0, 57, 0, 109, 0, 0, 0, -6, 0, 48, 0, -16, 0, 122, 0, -20, 0, 20, 0, 10, 0, 59, 0, -35, 0, -29, 0, -139, 0, 2, 0, -110, 0, 85, 0, 24, 0, -13, 0, 16, 0, 0, 0, -124, 0, -40, 0, 20, 0, -84, 0, -98, 0, 83, 0, -100, 0, 135, 0, 2, 0, -36, 0, 13, 0, 67, 0, -128, 0, -8, 0, -34, 0, -103, 0, 28, 0, 4, 0, -8, 0, 106, 0, -2, 0, 41, 0, 41, 0, -15, 0, -38, 0, -61, 0, 1, 0, -22, 0, -1, 0, 17, 0, 3, 0, -56, 0, 22, 0, 55, 0, -20, 0, -4, 0, 32, 0, -18, 0, -1, 0, 59, 0, 66, 0, 52, 0, -126, 0, 20, 0, 54, 0, -54, 0, 34, 0, 14, 0, 6, 0, -90, 0, 25, 0, -38, 0, -181, 0, -10, 0, -104, 0, 37, 0, 40, 0, 8, 0, 22, 0, 5, 0, -164, 0, 31, 0, 22, 0, -9, 0, -56, 0, -72, 0, 162, 0, 4, 0, -14, 0, 9, 0, 96, 0, 29, 0, -90, 0, 41, 0, -41, 0, -3, 0, 44, 0, 88, 0, -19, 0, 88, 0, 8, 0, -141, 0, -32, 0, -9, 0, -69, 0, -32, 0, -1, 0, 62, 0, 7, 0, 18, 0, 6, 0, 178, 0, 54, 0, -14, 0, -51, 0, 34, 0, 28, 0, 14, 0, 4, 0, -24, 0, 49, 0, -7, 0, -100, 0, -23, 0, -14, 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-101, 0, 172, 0, -52, 0, -38, 0, -40, 0, -59, 0, 20, 0, 36, 0, 2, 0, -5, 0, 256, 0, -56, 0, -60, 0, -144, 0, -22, 0, 255, 0, -66, 0, 16, 0, 3, 0, 72, 0, 25, 0, 47, 0, -72, 0, -73, 0, 14, 0, -14, 0, -84, 0, -115, 0, 157, 0, -29, 0, -54, 0, 138, 0, -16, 0, -76, 0, 41, 0, 2, 0, -102, 0], 'weight': 2, 'weight_parity': 1}