Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 31768, 'analytic_conductor': 63.41718928530088, 'analytic_rank': 2, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [11, -1], [19, 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': [7942, 1, [5777, 6139], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[3, [2, 1]], [5, [3, 1]], [13, [4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660932870, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 250247, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7942.2.a.b', 'level': 7942, '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, 11, 19], 'level_radical': 418, 'minimal_twist': '418.2.e.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-2q^{3}+q^{4}-3q^{5}+2q^{6}-q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/7942/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7942.2.a', 'trace_display': [-1, -2, -3, -1], 'trace_hash': 759946128849867498, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.005', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '2.077', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '5.272', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.021', 'prec': 7}, 'traces': [1, -1, -2, 1, -3, 2, -1, -1, 1, 3, 1, -2, -4, 1, 6, 1, 0, -1, 0, -3, 2, -1, 0, 2, 4, 4, 4, -1, -6, -6, -4, -1, -2, 0, 3, 1, -1, 0, 8, 3, -6, -2, -4, 1, -3, 0, 6, -2, -6, -4, 0, -4, 3, -4, -3, 1, 0, 6, 0, 6, -4, 4, -1, 1, 12, 2, -4, 0, 0, -3, -6, -1, 2, 1, -8, 0, -1, -8, 11, -3, -11, 6, -3, 2, 0, 4, 12, -1, -18, 3, 4, 0, 8, -6, 0, 2, -19, 6, 1, 4, -12, 0, -4, 4, -6, -3, -9, 4, -16, 3, 2, -1, -6, 0, 0, -6, -4, 0, 0, -6, 1, 4, 12, -4, 3, 1, -16, -1, 8, -12, 0, -2, 0, 4, -12, 0, -15, 0, 17, 3, -12, 6, -4, 1, 18, -2, 12, -1, 18, 8, -19, 0, 0, 1, 12, 8, 17, -11, -6, 3, 0, 11, -4, -6, 6, 3, 3, -2, 3, 0, 0, -4, 0, -12, -4, 1, 0, 18, -24, -3, 11, -4, 8, 0, 3, -8, 0, 6, -4, 0, -6, -2, 2, 19, -24, -6, -12, -1, -10, -4, 8, 12, 6, 0, 18, 4, 0, -4, 0, 6, -25, 3, 12, 9, 12, -4, 4, 16, -4, -3, 0, -2, -28, 1, 4, 6, 27, 0, -25, 0, 2, 6, 0, 4, -18, 0, -22, 0, -15, 6, 2, -1, 10, -4, 18, -12, 0, 4, 6, -3, 24, -1, 0, 16, 0, 1, -9, -8, 1, 12, -6, 0, 27, 2, -9, 0, 36, -4, 3, 12, -7, 0, -8, 15, 4, 0, -28, -17, -4, -3, 0, 12, -13, -6, 0, 4, 6, -1, -17, -18, 38, 2, 30, -12, 0, 1, 4, -18, 0, -8, 4, 19, 24, 0, 12, 0, 11, -1, 8, -12, -18, -8, -1, -17, 3, 11, -18, 6, -6, -3, 18, 0, 0, -11, -16, 4, 32, 6, -6, -6, -16, -3, -1, -3, 12, 2, -16, -3, 12, 0, -4, 0, 13, 4, 0, 0, 3, 12, -22, 4, -16, -1, 27, 0, 18, -18, 0, 24, -3, 3, 0, -11, -2, 4, -6, -8, -28, 0, -6, -3, -3, 8, 32, 0, -6, -6, 24, 4, 32, 0, 32, 6, 24, 2, 3, -2, -4, -19, 9, 24, 0, 6, 0, 12, -33, 1, 5, 10, 0, 4, -30, -8, 16, -12, 33, -6, -1, 0, -4, -18, 30, -4, 0, 0, 9, 4, -34, 0, 18, -6, 17, 25, 6, -3, 0, -12, 4, -9, 8, -12, 15, 4, 14, -4, -36, -16, 0, 4, 35, 3, -6, 0, -12, 2, 54, 28, -36, -1, -9, -4, -6, -6, 38, -27, -12, 0, -22, 25, 0, 0, -6, -2, -4, -6, -24, 0, 30, -4, 4, 18, -34, 0, -4, 22, 0, 0, 3, 15, -24, -6, 4, -2, 0, 1, 57, -10, 2, 4, 8, -18, -9, 12, 0, 0, -3, -4, 6, -6, -4, 3, -6, -24, 0, 1, 36, 0, -6, -16, -9, 0, -2, -1, 0, 9, 12, 8, 6, -1, 0, -12, 33, 6, -1, 0, 8, -27, 0, -2, -23, 9, 0, 0, 24, -36, 27, 4, 48, -3, -6, -12, 38, 7, -22, 0, 48, 8, -19, -15, -4, -4, 0, 0, -11, 28, -6, 17, 12, 4, 16, 3, 0, 0, 9, -12, 18, 13, 11, 6, -36, 0, -19, -4, 12, -6, 0, 1, -7, 17, -4, 18, 3, -38, 3, -2, 12, -30, 0, 12, 0, 0, 24, -1, 36, -4, 0, 18, 20, 0, 36, 8, 2, -4, -4, -19, -3, -24, 8, 0, -12, -12, -24, 0, -16, -11, -36, 1, 33, -8, -28, 12, 0, 18, 18, 8, -29, 1, 0, 17, 0, -3, -16, -11, 50, 18, 48, -6, 24, 6, -6, 3, -33, -18, 14, 0, -24, 0, 6, 11, 0, 16, -8, -4, -6, -32, 0, -6, 2, 6, 15, 6, 41, 16, 0, 3, 0, 1, 0, 3, 56, -12, -4, -2, -10, 16, 16, 3, -18, -12, 19, 0, -54, 4, 42, 0, 45, -13, 50, -4, -12, 0, -28, 0, -1, -3, -51, -12, 0, 22, 0, -4, 24, 16, 0, 1, 36, -27, 12, 0, -25, -18, 11, 18, 0, 0, 12, -24, 30, 3, -36, -3, 4, 0, -4, 11, -24, 2, 50, -4, 13, 6, 0, 8, -4, 28, -36, 0, -4, 6, -52, 3, 0, 3, -21, -8, -54, -32, -3, 0, 9, 6, 26, 6, -48, -24, 57, -4, -22, -32, 0, 0, 30, -32, 16, -6, 0, -24, 0, -2, -10, -3, 18, 2, 6, 4, -16, 19, -2, -9, 0, -24, -6, 0, -24, -6, -51, 0, -31, -12, -54, 33, 6, -1, 16, -5, 18, -10, 33, 0, 0, -4, -18, 30, 2, 8, 0, -16, -6, 12, -12, -33, -43, 6, 14, 1, 12, 0, 0, 4, 4, 18, 24, -30, 14, 4, -8, 0, -12, 0, -10, -9, 56, -4, 0, 34, -9, 0, -16, -18, -36, 6, 7, -17, 0, -25, -9, -6, -1, 3, 26, 0, 0, 12, 26, -4, 0, 9, 48, -8, 2, 12, -12, -15, 6, -4, 0, -14, 34, 4, 11, 36, 16, 16, -19, 0, -3, -4, 20, -35, -60, -3, 18, 6, 14, 0, 0, 12, -33, -2, 16, -54, -11, -28, 0, 36, 72, 1, 0, 9, 24, 4, 0, 6, -8, 6, -33, -38, -10, 27, -12, 12, 42, 0, -3, 22, -24, -25, 0, 0, 23, 0, -22, 6, 24, 2, -4, 4, -4, 6, 30, 24, 0, 0, 36, -30, 0, 4, 50, -4, 2, -18, 0, 34, 0, 0, 12, 4, -54, -22, -8, 0, 36, 0, 36, -3, 18, -15, 12, 24, 15, 6, -15, -4, -9, 2, -6, 0, -7, -1, 0, -57, -30, 10, -17, -2, 32, -4, 57, -8, -18, 18, -16, 9, -42, -12, 36, 0, 12, 0, 0, 3, 38, 4, 32, -6, 30, 6, 44, 4, -4, -3, 4, 6, 0, 24, -24, 0, 0, -1, 20, -36, 32, 0, 51, 6, -18, 16, -6, 9, -3, 0, -19, 2, 8, 1, -24, 0, -44, -9, -26, -12, 24, -8, -46, -6, 0, 1, 0, 0, -46, 12, -6, -33, -18, -6, 0, 1, 44, 0, -27, -8, 29, 27, 44, 0, 75, 2, 19, 23, -54, -9, -42, 0, 47, 0, -36, -24, -19, 36, -10, -27, 0, -4, 6, -48, -16, 3, 6, 6, 12, 12, 0, -38, 0, -7, -12, 22, -28, 0, 1, -48, -27, -8, -34, 19, 12, 15, -48, 4, -17, 4, 56, 0, 6, 0, 0, 11, -24, -28, -21, 6, -12, -17, 6, -12, 84, -4, 38, -16, -64, -3, 0, 0, 14, 0, 3, -9, 0, 12, -40, -18, -48, -13, -4, -11, -81, -6, -64, 36, 0, 0, 4, 19, -16, 4, 75, -12, 4, 6, -48, 0, 48, -1, 5, 7, -6, -17, 72, 4, 0, -18, -16, -3, -27, 38, 0, -3, -18, 2, -3, -12, -64, 30, 0, 0, 24, -12, -9, 0, 0, 0, -27, -24, -3, 1, 66, -36, 15, 4, 36, 0, -10, -18, 3, -20, 45, 0, 0, -36, -16, -8, -22, -2, 60, 4, -6, 4, 0, 19, -32, 3, 0, 24, 26, -8, -30, 0, -42, 12, 0, 12, 2, 24, -36, 0, -24, 16, 8, 11, 60, 36, -37, -1, -15, -33, 0, 8, 11, 28, 0, -12, 0, 0, -6, -18, -18, -18, 24, -8, -16, 29, 17, -1, 24, 0, -72, -17, -36, 0, 30, 3, 76, 16, -34, 11, 0, -50, -11, -18, 24, -48, 24, 6, 0, -24, 0, -6, -18, 6, -70, -3, -8, 33, -9, 18, 27, -14, -4, 0, -6, 24, -10, 0, -30, -6, -3, -11, 8, 0, -28, -16, -42, 8, -22, 4, 18, 6, -18, 32, 0, 0, 0, 6, 48, -2, -81, -6, -70, -15, 9, -6, 47, -41, -24, -16, 12, 0, -49, -3, 24, 0, 1, -1, 16, 0, -108, -3, 6, -56, 16, 12, 18, 4, 0, 2, -9, 10, 18, -16, 0, -16, -2, -3, 12, 18, 21, 12, 0, -19, -19, 0, -24, 54, -36, -4, 24, -42, 30, 0, -36, -45, 44, 13, 66, -50, 3, 4, 0, 12, 12, 0, 32, 28, 12, 0, 84, 1, 0, 3, 8, 51, 36, 12, 10, 0, 12, -22, -16, 0, 65, 4, -60, -24, 0, -16, 0, 0, -8, -1, -66, -36, 0, 27, 17, -12, 39, 0, 64, 25, 8, 18, 36, -11, -34, -18, 0, 0, -51, 0, 74, -12, 12, 24, 42, -30, -18, -3, 48, 36, 30, 3, 0, -4, -8, 0, 51, 4, -73, -11, 0, 24, 15, -2, -19, -50, -114, 4, -24, -13, -16, -6, -4, 0, 0, -8, -90, 4, -4, -28, 24, 36, -40, 0, 18, 4, 0, -6, 25, 52, 0, -3, -66, 0, -46, -3, -12, 21, 48, 8, 74, 54, -12, 32, -42, 3, 0, 0, 8, -9, 54, -6, 0, -26, 3, -6, -12, 48, -15, 24, 0, -57, 6, 4, 0, 22, -72, 32, 6, 0, 24, 0, 3, -30, -42, 32, -16, -16, 18, 6, 17, 0, 11, 24, 4, 0, -33, 2, -18, 10, 0, 3, 0, -18, -34, -2, -24, -6, 0, -4, 17, 16, -12, -19, -30, 2, 54, 9, 0, 0, -57, 24, 28, 6, -66, 0, 3, 24, 2, 6, 2, 51, -66, 0, -4, 31, -4, 12, 0, 54, 65, -33, 0, -6, -3, 1, 54, -16, 46, 5, -27, -18, 4, 10, 0, -33, 18, 0, 68, 0, -48, 4, 48, 18, 25, -30, -54, -2, 36, -8, 35, 0, -24, 16, 18, 6, 0, -12, 12, 12, -12, 33, -58, 43, -76, -6, -12, -14, -40, -1, 11, -12, 0, 0, 0, 0, -96, -4, -63, -4, 18, -18, 38, -24, -12, 30, 18, -14, -16, -4, 0, 8, 64, 0, 0, 12, 48, 0, -4, 10, 22, 9, -19, -56, -61, 4, 3, 0, 36, -34, -22, 9, -24, 0, 15, 16, -16, 18, -32, 36, 0, -6, -5, -7, 0, 17, 48, 0, -2, 25, -18, 9, 0, 6, 26, 1, -36, -3, -69, -26, -46, 0, -10, 0, 0, -12, 12, -26, 72, 4, -45, 0, 0, -9, 38, -48, -39, 8, 0, -2, -6, -12, -30, 12, 32, 15, 0, -6, 17, 4, 0, 0, 14, 14, 24, -34, -9, -4, 2, -11, -6, -36, -10, -16, -6, -16, 66, 19, 56, 0, -6, 3, 0, 4, 53, -20, 48, 35, -24, 60, -13, 3, 0, -18, 24, -6, -81, -14, 0, 0, 24, 0, 0, -12, -12, 33, -24, 2, -58, -16, -72, 54, 60, 11, -70, 28, 0, 0, 6, -36, -4, -72, -10, -1, -4, 0, 9, -9, -72, -24, 9, -4, -34, 0, -4, -6, 0, 8, -68, -6, -16, 33, -63, 38, 6, 10, 6, -27, 0, 12, 0, -12, -16, -42, -27, 0, 8, 3, 6, -22, 0, 24, 32, 25, 48, 0, 84, 0, 3, -23, 32, 0, -27, 22, 0, -6, 18, -24, -33, -2, -27, 4, -66, -4, 0, 4, 9, -6, 56, -30, 3, -24, -16, 0, 0, 0, -96, -36, -85, 30, -36, 0, 30, -4, 26, -50, 58, 4, -24, -2, -70, 18, 0, 0, -3, -34, -72, 0, 0, 0, 6, -12, 16, -4, 32, 54, -96, 22, 7, 8, -25, 0, -18, -36, 0, 0, -96, -36, 18, 3, 0, -18, -48, 15, -78, -12, -72, -24, -24, -15, 0, -6, 0, 15, 66, 4, -4, 9, -36, -2, -28, 6, 36, 0, -40, 7, 12, 1, -72, 0, 28, 57, -12, 30, 24, -10, -27, 17, 0, 2, -36, -32, -10, 4, 4, -57, 0, 8, 0, 18, 12, -18, -3, 16, 76, -9, 0, 42, 0, 12, -24, -36, 8, 0, 42, -12, 44, 0, -30, 0, -45, -3, 13, -38, -82, -4, -15, -32, -1, 6, 0, -30, 11, -6, -58, -44, 0, -4, -12, 4, 23, 3, 0, -4, 6, -6, 90, 0, -28, -24, 36, 24, 26, 0, 8, 0, -48, 1, 50, -20, 20, 36, -24, -32, 17, 0, -44, -51, 18, -6, -7, 18, 36, -16, 0, 6, 3, -9, -38, 3, -60, 0, -68, 19, 27, -2, 12, -8, 0, -1, -84, 24, -30, 0, -10, 44, -90, 9, 0, 26, 36, 12, -25, -24, 36, 8, 0, 46, 24, 6, -39, 0, 0, -1, 56, 0, -12, 0, 16, 46, -4, -12, -48, 6, -64, 33, 102, 18, -48, 6, 56, 0, 0, -1, 0, -44, -54, 0, 0, 27, 48, 8, -6, -29, -48, -27, -51, -44, 24, 0, 0, -75, -15, -2, -82, -19, -18, -23, -12, 54, 16, 9, -24, 42, 2, 0, 0, -47, 50, 0, 0, 36, 65, 24, 44, 19, -12, -36, 77, 10, 0, 27, 42, 0, 50, 4, -24, -6, 0, 48, -11, 16, -15, -3, 0, -6, -45, -6, 72, -12, 0, -12, -25, 0, -8, 38, -42, 0, -12, 7, 2, 12, -12, -22, -18, 28, 48, 0, 18, -1, 62, 48, -100, 27, 0, 8, 0, 34, -56, -19, -10, -12, 1, -15, 0, 48, -105, -4, 40, 17, 8, -4, 24, -56, -34, 0, 18, -6, 36, 0, -11, 0, 8, -11, -6, 24, 36, 28, 104, 21, 18, -6, -16, 12, 0, 17, -72, -6, 0, 12, 42, -84, 0, 4, 6, -38, 108, 16, 57, 64, 44, 3, -12, 0, 84, 0, 27, -14, -18, 0, 0, -3, -7, 9, -52, 0, 18, -12, 4, 40, 24, 18, 0, 48, -8, 13, -114, 4, -36, 11, 29, 81, 44, 6, 54, 64, 16, -36, 0, 0, -12, 0, 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