Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 29760, 'analytic_conductor': 59.4086991038326, 'analytic_rank': 1, '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': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7440, 1, [6511, 1861, 4961, 2977, 5521], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 404, 'field_disc_factorization': [[2, 2], [101, 1]], 'field_poly': [-1, -5, -1, 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, [-4, -16, -2, 1]], [11, [4, 1]], [13, [36, -12, -4, 1]], [17, [8, -20, 2, 1]], [19, [32, -32, 0, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892604688, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'id': 242623, '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': False, 'label': '7440.2.a.bu', 'level': 7440, '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.l', 'nf_label': '3.3.404.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+(1+\\beta _{1})q^{7}+q^{9}-4q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7440.2.a', 'trace_display': [0, 3, -3, 2], 'trace_hash': 1285527089512407686, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '2.959', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '22.361', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '246.172', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 7}, 'traces': [3, 0, 3, 0, -3, 0, 2, 0, 3, 0, -12, 0, 4, 0, -3, 0, -2, 0, 0, 0, 2, 0, -4, 0, 3, 0, 3, 0, -4, 0, 3, 0, -12, 0, -2, 0, 8, 0, 4, 0, -6, 0, 12, 0, -3, 0, -8, 0, 15, 0, -2, 0, -14, 0, 12, 0, 0, 0, -6, 0, -10, 0, 2, 0, -4, 0, -2, 0, -4, 0, -18, 0, -20, 0, 3, 0, -8, 0, -8, 0, 3, 0, 0, 0, 2, 0, -4, 0, 0, 0, -32, 0, 3, 0, 0, 0, -2, 0, -12, 0, 10, 0, 10, 0, -2, 0, -28, 0, -2, 0, 8, 0, -14, 0, 4, 0, 4, 0, -32, 0, 15, 0, -6, 0, -3, 0, -16, 0, 12, 0, -54, 0, -8, 0, -3, 0, 34, 0, -28, 0, -8, 0, -16, 0, 4, 0, 15, 0, -14, 0, -16, 0, -2, 0, -3, 0, -10, 0, -14, 0, 36, 0, 14, 0, 12, 0, 8, 0, 1, 0, 0, 0, 22, 0, 2, 0, -6, 0, -40, 0, 14, 0, -10, 0, -8, 0, 8, 0, 2, 0, -34, 0, -2, 0, -4, 0, 6, 0, 16, 0, -2, 0, -76, 0, 6, 0, -4, 0, 0, 0, -48, 0, -18, 0, -12, 0, 2, 0, -20, 0, 28, 0, -8, 0, 3, 0, -24, 0, -30, 0, -8, 0, -6, 0, 8, 0, -8, 0, 16, 0, 14, 0, 3, 0, -15, 0, 8, 0, 0, 0, -48, 0, 16, 0, 2, 0, -14, 0, 32, 0, -4, 0, -16, 0, 14, 0, 0, 0, -4, 0, 16, 0, -32, 0, -12, 0, 28, 0, 3, 0, 10, 0, 2, 0, 0, 0, 12, 0, -7, 0, -2, 0, -10, 0, 6, 0, -12, 0, -44, 0, 16, 0, 10, 0, 10, 0, 6, 0, 10, 0, 34, 0, -32, 0, -2, 0, 30, 0, 16, 0, -28, 0, -24, 0, 4, 0, -2, 0, -28, 0, -36, 0, 8, 0, 2, 0, -40, 0, -14, 0, -12, 0, 88, 0, 4, 0, -12, 0, -58, 0, 4, 0, -26, 0, 18, 0, -32, 0, 22, 0, 7, 0, 15, 0, 20, 0, 4, 0, -6, 0, -40, 0, 10, 0, -3, 0, 68, 0, -24, 0, -16, 0, 4, 0, 8, 0, 12, 0, 32, 0, -16, 0, -54, 0, 8, 0, -2, 0, -8, 0, 52, 0, 4, 0, -3, 0, -32, 0, -6, 0, 34, 0, -8, 0, 0, 0, -28, 0, 10, 0, -10, 0, -8, 0, -2, 0, -76, 0, -16, 0, 18, 0, -4, 0, 4, 0, -40, 0, 0, 0, 15, 0, -24, 0, 0, 0, -14, 0, -4, 0, 24, 0, -16, 0, 32, 0, -12, 0, -2, 0, 64, 0, -60, 0, -3, 0, 28, 0, -44, 0, -10, 0, -48, 0, 0, 0, -14, 0, -50, 0, -16, 0, 36, 0, 2, 0, 0, 0, 14, 0, -4, 0, 52, 0, 12, 0, -16, 0, -4, 0, 8, 0, -16, 0, -10, 0, 1, 0, 12, 0, -40, 0, 0, 0, -10, 0, 32, 0, 22, 0, -38, 0, 40, 0, 2, 0, -2, 0, -5, 0, -6, 0, -24, 0, 28, 0, -40, 0, -60, 0, 30, 0, 14, 0, 2, 0, -34, 0, -10, 0, 48, 0, -44, 0, -8, 0, 26, 0, 8, 0, 8, 0, 12, 0, 14, 0, 2, 0, -40, 0, 12, 0, -34, 0, -4, 0, -22, 0, -2, 0, 84, 0, 56, 0, -4, 0, -84, 0, 0, 0, 6, 0, -70, 0, 32, 0, 16, 0, 18, 0, 50, 0, -2, 0, -15, 0, 42, 0, -76, 0, 12, 0, 48, 0, 6, 0, -54, 0, -4, 0, -4, 0, -12, 0, 3, 0, 0, 0, -60, 0, 96, 0, -48, 0, 16, 0, -72, 0, -18, 0, 24, 0, 56, 0, -12, 0, 0, 0, 24, 0, 2, 0, 6, 0, 54, 0, -20, 0, -54, 0, 66, 0, 28, 0, 8, 0, -92, 0, -8, 0, 40, 0, -92, 0, 3, 0, -62, 0, 84, 0, -24, 0, 80, 0, -34, 0, -30, 0, 12, 0, -20, 0, -8, 0, 28, 0, 52, 0, -6, 0, 62, 0, 56, 0, 8, 0, 52, 0, -102, 0, -8, 0, -4, 0, 16, 0, 16, 0, -20, 0, -44, 0, 14, 0, -4, 0, 14, 0, 3, 0, 16, 0, 22, 0, -15, 0, 8, 0, 60, 0, 8, 0, 72, 0, 14, 0, 0, 0, 20, 0, -80, 0, -48, 0, 16, 0, 28, 0, 16, 0, 8, 0, -32, 0, 2, 0, -4, 0, -14, 0, -14, 0, -30, 0, 3, 0, 32, 0, -128, 0, 72, 0, -4, 0, 10, 0, 16, 0, -16, 0, 68, 0, 56, 0, 14, 0, -26, 0, 72, 0, 0, 0, 80, 0, -36, 0, -4, 0, 12, 0, 72, 0, 16, 0, -14, 0, -64, 0, -32, 0, 40, 0, 12, 0, -12, 0, -80, 0, -34, 0, 28, 0, -138, 0, -8, 0, 3, 0, -2, 0, 89, 0, 10, 0, -1, 0, 10, 0, 2, 0, -12, 0, 74, 0, 0, 0, 10, 0, 68, 0, 12, 0, 72, 0, -22, 0, -7, 0, 32, 0, 40, 0, -2, 0, -2, 0, -78, 0, -10, 0, 16, 0, 48, 0, 6, 0, -60, 0, -64, 0, -12, 0, -88, 0, 40, 0, -44, 0, -4, 0, 52, 0, 16, 0, -14, 0, -10, 0, 10, 0, -4, 0, 0, 0, 10, 0, -40, 0, 52, 0, 6, 0, -20, 0, 8, 0, 10, 0, 44, 0, 72, 0, 34, 0, -8, 0, 78, 0, -32, 0, -24, 0, 88, 0, -2, 0, -40, 0, 0, 0, 30, 0, -62, 0, 34, 0, 16, 0, -16, 0, 3, 0, -28, 0, 2, 0, -32, 0, -24, 0, 26, 0, -96, 0, 4, 0, 66, 0, 0, 0, -2, 0, -24, 0, -6, 0, -28, 0, 24, 0, 72, 0, -36, 0, -16, 0, -38, 0, 8, 0, 128, 0, -8, 0, 2, 0, -24, 0, -18, 0, -40, 0, -58, 0, 76, 0, -14, 0, -48, 0, 18, 0, -12, 0, -6, 0, 28, 0, 88, 0, 78, 0, 78, 0, 4, 0, 68, 0, -64, 0, -12, 0, 68, 0, 0, 0, -58, 0, -8, 0, 4, 0, 4, 0, 48, 0, 28, 0, -26, 0, 114, 0, -50, 0, 18, 0, 8, 0, -70, 0, -32, 0, -36, 0, 12, 0, 22, 0, -84, 0, 32, 0, 7, 0, -2, 0, 134, 0, 15, 0, -16, 0, -2, 0, 20, 0, -30, 0, -60, 0, 4, 0, 12, 0, -28, 0, -6, 0, 84, 0, -40, 0, -40, 0, 8, 0, 50, 0, 10, 0, 32, 0, 46, 0, -3, 0, 36, 0, 66, 0, 68, 0, -40, 0, 24, 0, -24, 0, 8, 0, 60, 0, -16, 0, 30, 0, 8, 0, 4, 0, -6, 0, -4, 0, 8, 0, 12, 0, 16, 0, 12, 0, -68, 0, 6, 0, 32, 0, -72, 0, 116, 0, -16, 0, -8, 0, 112, 0, -54, 0, -24, 0, -46, 0, 8, 0, -28, 0, -88, 0, -2, 0, -86, 0, -16, 0, -8, 0, 8, 0, 106, 0, 52, 0, -14, 0, 0, 0, 4, 0, 76, 0, -26, 0, -3, 0, -86, 0, 0, 0, -32, 0, -44, 0, 15, 0, -6, 0, 46, 0, -24, 0, 34, 0, -8, 0, -22, 0, -8, 0, 68, 0, 56, 0, 0, 0, -64, 0, -42, 0, -28, 0, -88, 0, 48, 0, 10, 0, -42, 0, -88, 0, -10, 0, -16, 0, -60, 0, -8, 0, -6, 0, 72, 0, -2, 0, 22, 0, 100, 0, -76, 0, -8, 0, 14, 0, -16, 0, 14, 0, -80, 0, 18, 0, -32, 0, -48, 0, -4, 0, -16, 0, -46, 0, 4, 0, 112, 0, 128, 0, -40, 0, -32, 0, 16, 0, 0, 0, 4, 0, -38, 0, 15, 0, -14, 0, -50, 0, -24, 0, 72, 0, 12, 0, 0, 0, 104, 0, 64, 0, -14, 0, 24, 0, 4, 0, -4, 0, 32, 0, 52, 0, 24, 0, -16, 0, -12, 0, -16, 0, -14, 0, 12, 0, 32, 0, -116, 0, -7, 0, -12, 0, 70, 0, 12, 0, -2, 0, -112, 0, -54, 0, 64, 0, -28, 0, -56, 0, -60, 0, -76, 0, 204, 0, -3, 0, 64, 0, -20, 0, 28, 0, -64, 0, -10, 0, -44, 0, 62, 0, -152, 0, -10, 0, -2, 0, 28, 0, -48, 0, -168, 0, -30, 0, 0, 0, 16, 0, 18, 0, -14, 0, -118, 0, -12, 0, -50, 0, 92, 0, 216, 0, -16, 0, 7, 0, 72, 0, 36, 0, 38, 0, -36, 0, 2, 0, -8, 0, 32, 0, 0, 0, 32, 0, 10, 0, 14, 0, -96, 0, 12, 0, -4, 0, -6, 0, -24, 0, 52, 0, 16, 0, -72, 0, 12, 0, -24, 0, 30, 0, -16, 0, 22, 0, 44, 0, -4, 0, -56, 0, 40, 0, 8, 0, -16, 0, -136, 0, -16, 0, 128, 0, -36, 0, -10, 0, -128, 0, 15, 0, 1, 0, -20, 0, -10, 0, 12, 0, 112, 0, 100, 0, -40, 0, -6, 0, 68, 0, 0, 0, -76, 0, -60, 0, -10, 0, 88, 0, -74, 0, 32, 0, 30, 0, -34, 0, 22, 0, -70, 0, 88, 0, -38, 0, 32, 0, 72, 0, 40, 0, -8, 0, 20, 0, 2, 0, 136, 0, -84, 0, -2, 0, 68, 0, -30, 0, -5, 0, -92, 0, -24, 0, -6, 0, -16, 0, 114, 0, -24, 0, -6, 0, -4, 0, 28, 0, -16, 0, 34, 0, -40, 0, -10, 0, 24, 0, -60, 0, -26, 0, -22, 0, 30, 0, -4, 0, -68, 0, 14, 0, 88, 0, 4, 0, 2, 0, -74, 0, 56, 0, -34, 0, -14, 0, 28, 0, -10, 0, -12, 0, 32, 0, 48, 0, 36, 0, 34, 0, -44, 0, 64, 0, -46, 0, -8, 0, -40, 0, 2, 0, 26, 0, 48, 0, -2, 0, 8, 0, 28, 0, 145, 0, 8, 0, 40, 0, -68, 0, 12, 0, 96, 0, 58, 0, 14, 0, -14, 0, 20, 0, 2, 0, -68, 0, 12, 0, -40, 0, 54, 0, 32, 0, 12, 0, -88, 0, -140, 0, -34, 0, 38, 0, -26, 0, -4, 0, 40, 0, -88, 0, -22, 0, 110, 0, 12, 0, -2, 0, -132, 0, -42, 0, 84, 0, 58, 0, -92, 0, 56, 0, -24, 0, 76, 0, -4, 0, -48, 0, 40, 0, -84, 0, 104, 0, 26, 0, 0, 0, 160, 0, -144, 0, 6, 0, -18, 0, 138, 0, -70, 0, 84, 0, -70, 0, 32, 0, 68, 0, 22, 0, 16, 0, -56, 0, -22, 0, 18, 0, 160, 0, 26, 0, 50, 0, -7, 0, 40, 0, -2, 0, 92, 0, 204, 0, -15, 0, -48, 0, 0, 0, 42, 0, 60, 0, -20, 0, -76, 0, -6, 0, 148, 0, 12, 0, -4, 0, -32, 0, 48, 0, 112, 0, -144, 0, 6, 0, 4, 0, -17, 0, -54, 0, 44, 0, 40, 0, -4, 0, -4, 0, 162, 0, -4, 0, -10, 0, -26, 0, -12, 0, 40, 0, 8, 0, 3, 0, -22, 0, -12, 0, 0, 0, 140, 0, -68, 0, -60, 0, -44, 0, -10, 0, 96, 0, 24, 0, 72, 0, -48, 0, -34, 0, -88, 0, 16, 0, 56, 0, 16, 0, -72, 0, -58, 0, -4, 0, -18, 0, 176, 0, -28, 0, 24, 0, -8, 0, 192, 0, 56, 0, 98, 0, -32, 0, -12, 0, -96, 0, 208, 0, 0, 0, 124, 0, -32, 0, 24, 0, 184, 0, -32, 0, 2, 0, 16, 0, 136, 0, 6, 0, -92, 0, -60, 0, 54, 0, -108, 0, 160, 0, -20, 0, -130, 0, -8, 0, -54, 0, -28, 0, -180, 0, 66, 0, 2, 0, -64, 0, 28, 0, -56, 0, 114, 0, 8, 0, 66, 0, 40, 0, -92, 0, -96, 0, -52, 0, -8, 0, -174, 0, -36, 0, 40, 0, -4, 0, 42, 0, -92, 0, 56, 0, 134, 0, 3, 0, 40, 0, -70, 0, -62, 0, -40, 0, 32, 0, 84, 0, -36, 0, 40, 0, -24, 0, 6, 0, -60, 0, 80, 0, 24, 0, -58, 0, -34, 0, -10, 0, 48, 0, -30, 0, -68, 0, 8, 0, 12, 0, 20, 0, -24, 0, -20, 0, 0, 0, -2, 0, -8, 0, 42, 0, 152, 0, 28, 0, -40, 0, 70, 0, 52, 0, 64, 0, -10, 0, -6, 0, -32, 0, 136, 0, 62, 0, 10, 0, -12, 0, 56, 0, 0, 0, -30, 0, 8, 0, 52, 0, -32, 0, 52, 0, 8, 0, 2, 0, -102, 0, -12, 0, -36, 0, -8, 0, 76, 0, 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0, -24, 0, -88, 0, -4, 0, 88, 0, 40, 0, 100, 0, 10, 0, -44, 0, 98, 0, 60, 0, -4, 0, -58, 0, -136, 0, 52, 0, -30, 0, 50, 0, 16, 0, -2, 0, 118, 0, -14, 0, -32, 0, -8, 0, -10, 0, 132, 0, -2, 0, 10, 0, -170, 0, -84, 0, -4, 0, 34, 0, -72, 0, 0, 0, 60, 0, -72, 0, 10, 0, -140, 0, -110, 0, -40, 0, -158, 0, -48, 0, 52, 0, 0, 0, 192, 0, 6, 0, 44, 0, 26, 0, -20, 0, 8, 0, -28, 0, 8, 0, -110, 0, -172, 0, 10, 0, -20, 0, -26, 0, 44, 0, 152, 0, 60, 0, 72, 0, -8, 0, 34, 0, 34, 0, -96, 0, 0, 0, -8, 0, 92, 0, -51, 0, 78, 0, -240, 0, -12, 0, -32, 0, -120, 0, -32, 0, -24, 0, -14, 0, 56, 0, 88, 0, -80, 0, -52, 0, -2, 0, -74, 0, 32, 0, -40, 0, -68, 0, 40, 0, 0, 0, -128, 0, -4, 0, 30, 0, -12, 0, 46, 0, -62, 0, 130, 0, -196, 0, 34, 0, 72, 0, -40, 0, 16, 0, -6, 0, 4, 0, -16, 0, 108, 0, -80, 0, 3, 0, 22, 0, 62, 0, -28, 0, 6, 0, 64, 0, 2, 0, -86, 0, -104, 0, -32, 0, -32, 0, -84, 0, -24, 0, 0, 0, -28, 0, 26, 0, -56, 0, -8, 0, -96, 0, 24, 0, -20, 0, 4, 0, -28, 0, -16, 0, 66, 0, 56, 0, 84, 0, 0, 0, 38, 0, -100, 0, -2, 0, 0, 0, -160, 0, -24, 0, 44, 0, 34, 0, -6, 0, -242, 0, 16, 0, -28, 0, -48, 0, 70, 0, 24, 0, -20, 0, 172, 0, 72, 0, -32, 0, -56, 0, -36, 0, -64, 0, -112, 0, -16, 0, 156, 0, -234, 0, -38, 0, 152, 0, -18, 0, 8, 0, -112, 0, 18, 0, 128, 0, -50, 0, -2, 0, -8, 0, -46, 0, 52, 0, 2, 0, 48, 0, 140, 0, -24, 0, -96, 0, 15, 0, -18, 0, -100, 0, 32, 0, -40, 0, -42, 0, -124, 0, -58, 0, -28, 0, 112, 0, 76, 0, -112, 0, -130, 0, -14, 0, -104, 0, -12, 0, -48, 0, 128, 0, -66, 0, 18, 0, -48, 0, -100, 0, -12, 0], 'weight': 2, 'weight_parity': 1}