Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 29624, 'analytic_conductor': 59.13720773696025, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [23, -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': [7406, 1, [2117, 3179], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -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': [[3, [-4, -4, 2, 1]], [5, [4, -8, 2, 1]], [11, [32, -16, -4, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953601262, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'id': 242120, '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': True, 'label': '7406.2.a.t', 'level': 7406, '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, 7, 23], 'level_radical': 322, 'minimal_twist': '7406.2.a.t', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(-1+\\beta _{1})q^{3}+q^{4}+(-1+\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7406.2.a', 'trace_display': [3, -2, -2, -3], 'trace_hash': 2177054680212286223, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 4}, {'__RealLiteral__': 0, 'data': '2.822', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.055', 'prec': 7}, {'__RealLiteral__': 0, 'data': '20.778', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '219.933', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.024', 'prec': 7}, 'traces': [3, 3, -2, 3, -2, -2, -3, 3, 3, -2, 4, -2, 0, -3, 0, 3, -4, 3, -6, -2, 2, 4, 0, -2, 5, 0, -8, -3, 2, 0, 8, 3, -24, -4, 2, 3, -8, -6, 0, -2, -6, 2, -16, 4, 18, 0, -20, -2, 3, 5, -8, 0, 16, -8, 0, -3, 16, 2, -2, 0, -2, 8, -3, 3, 0, -24, -8, -4, 0, 2, 16, 3, 10, -8, -10, -6, -4, 0, -32, -2, -1, -6, -18, 2, 4, -16, 8, 4, -4, 18, 0, 0, 8, -20, -16, -2, -4, 3, 28, 5, -28, -8, -4, 0, 0, 16, 4, -8, -20, 0, -4, -3, 0, 16, 0, 2, 0, -2, 4, 0, 15, -2, 28, 8, -48, -3, 16, 3, 4, 0, 2, -24, 6, -8, -32, -4, 40, 0, 10, 2, 24, 16, 0, 3, 16, 10, -2, -8, -4, -10, 0, -6, 8, -4, -44, 0, -30, -32, -20, -2, 0, -1, 0, -6, -24, -18, -4, 2, -39, 4, -38, -16, 8, 8, -5, 4, -4, -4, 12, 18, -22, 0, 40, 0, -12, 8, 16, -20, 8, -16, 16, -2, -10, -4, 0, 3, 6, 28, -4, 5, -40, -28, -2, -8, -36, -4, 0, 0, -32, 0, -12, 16, -32, 4, -44, -8, -8, -20, -12, 0, 0, -4, -8, -3, -43, 0, 10, 16, 50, 0, 24, 2, 14, 0, 12, -2, 52, 4, 24, 0, -8, 15, -6, -2, -2, 28, 0, 8, 0, -48, -42, -3, 0, 16, -12, 3, -10, 4, 8, 0, 10, 2, -32, -24, -28, 6, -56, -8, -24, -32, 4, -4, 0, 40, 20, 0, 22, 10, -44, 2, 0, 24, 2, 16, 32, 0, 6, 3, -35, 16, 32, 10, -38, -2, -72, -8, -16, -4, 0, -10, 16, 0, 80, -6, 52, 8, 22, -4, -40, -44, -16, 0, -24, -30, -18, -32, 54, -20, -16, -2, 52, 0, -4, -1, 0, 0, 44, -6, 20, -24, 0, -18, -16, -4, 48, 2, 24, -39, -40, 4, -16, -38, -3, -16, 0, 8, 0, 8, -40, -5, 0, 4, 10, -4, -8, -4, 8, 12, -40, 18, -13, -22, -58, 0, 68, 40, 64, 0, -70, -12, -16, 8, 36, 16, 48, -20, 0, 8, -60, -16, 16, 16, -12, -2, 0, -10, -64, -4, -4, 0, 0, 3, 12, 6, 36, 28, -24, -4, -16, 5, -24, -40, 0, -28, -14, -2, 8, -8, 30, -36, -24, -4, 2, 0, 32, 0, -60, -32, -2, 0, -48, -12, -32, 16, 0, -32, 2, 4, 0, -44, -24, -8, -16, -8, -8, -20, 0, -12, -36, 0, 3, 0, -44, -4, 84, -8, 20, -3, -2, -43, -56, 0, 64, 10, 0, 16, -8, 50, 8, 0, -48, 24, 16, 2, 52, 14, 58, 0, 8, 12, 16, -2, -8, 52, 38, 4, 8, 24, -44, 0, 0, -8, 0, 15, 36, -6, -56, -2, 16, -2, -36, 28, -12, 0, 64, 8, -16, 0, 20, -48, 40, -42, 16, -3, 48, 0, 26, 16, 72, -12, -10, 3, 56, -10, 8, 4, -48, 8, -48, 0, -8, 10, 98, 2, 10, -32, -24, -24, 0, -28, -70, 6, 0, -56, -28, -8, -88, -24, 4, -32, 6, 4, -72, -4, 28, 0, -8, 40, 10, 20, -12, 0, 32, 22, 8, 10, 12, -44, 0, 2, 8, 0, -58, 24, -32, 2, 1, 16, -56, 32, -72, 0, 56, 6, 0, 3, 10, -35, -36, 16, 18, 32, 40, 10, 0, -38, -14, -2, 36, -72, -52, -8, -34, -16, -4, -4, 88, 0, 8, -10, 18, 16, 80, 0, 70, 80, 60, -6, -8, 52, 0, 8, -68, 22, 64, -4, 24, -40, -26, -44, 0, -16, 4, 0, 79, -24, 112, -30, 20, -18, 32, -32, -40, 54, -88, -20, 0, -16, 40, -2, 88, 52, 14, 0, 48, -4, -24, -1, 8, 0, -8, 0, 30, 44, -40, -6, 90, 20, 8, -24, 86, 0, 0, -18, 16, -16, 0, -4, 56, 48, -80, 2, 6, 24, 96, -39, -42, -40, 4, 4, -32, -16, 4, -38, -64, -3, -40, -16, 0, 0, -70, 8, -28, 0, 0, 8, -16, -40, -40, -5, 32, 0, 24, 4, 12, 10, 28, -4, -8, -8, -48, -4, 0, 8, 0, 12, 48, -40, -56, 18, 4, -13, 56, -22, -58, -58, -28, 0, -9, 68, 28, 40, 10, 64, 0, 0, 80, -70, -56, -12, 0, -16, 72, 8, -92, 36, 14, 16, -4, 48, 48, -20, 64, 0, -8, 8, -60, -60, 0, -16, -2, 16, 20, 16, -4, -12, 0, -2, -36, 0, 44, -10, 26, -64, 116, -4, 4, -4, 76, 0, 64, 0, -40, 3, 76, 12, 22, 6, 20, 36, 0, 28, 0, -24, 8, -4, -14, -16, 16, 5, 136, -24, 24, -40, 0, 0, 96, -28, 46, -14, 42, -2, -120, 8, 72, -8, 80, 30, 0, -36, -38, -24, 24, -4, 56, 2, -12, 0, -44, 32, 104, 0, -4, -60, -76, -32, 56, -2, 4, 0, -59, -48, 32, -12, 26, -32, -15, 16, 72, 0, 0, -32, -96, 2, -40, 4, -62, 0, -58, -44, -28, -24, 24, -8, 0, -16, 54, -8, -104, -8, 0, -20, 0, 0, 48, -12, -78, -36, 72, 0, 40, 3, 52, 0, 68, -44, -64, -4, -16, 84, 60, -8, 52, 20, -72, -3, 0, -2, -20, -43, -12, -56, -4, 0, 44, 64, 12, 10, -60, 0, -8, 16, 0, -8, -12, 50, -2, 8, -56, 0, -28, -48, 0, 24, 48, 16, 44, 2, -54, 52, -6, 14, -24, 58, 24, 0, 76, 8, 24, 12, -14, 16, 0, -2, 32, -8, 88, 52, 0, 38, -8, 4, 16, 8, -56, 24, -32, -44, -40, 0, 19, 0, -76, -8, 12, 0, -32, 15, 24, 36, -50, -6, -10, -56, 0, -2, 56, 16, 112, -2, -36, -36, 28, 28, 76, -12, -24, 0, 0, 64, 56, 8, -96, -16, -8, 0, 68, 20, 56, -48, 0, 40, 8, -42, -88, 16, -24, -3, 24, 48, -72, 0, -32, 26, -16, 16, 8, 72, 4, -12, -64, -10, 40, 3, 86, 56, 0, -10, 2, 8, 56, 4, 48, -48, 0, 8, -36, -48, 84, 0, -112, -8, 4, 10, -64, 98, -64, 2, 4, 10, -12, -32, 0, -24, 88, -24, 0, 0, 68, -28, -82, -70, 56, 6, -24, 0, -64, -56, -18, -28, -8, -8, -32, -88, 144, -24, 100, 4, 0, -32, 0, 6, -82, 4, 44, -72, -16, -4, 143, 28, 14, 0, 50, -8, -80, 40, 50, 10, 30, 20, 24, -12, -80, 0, 0, 32, 96, 22, -26, 8, -160, 10, 20, 12, 36, -44, -14, 0, -28, 2, 72, 8, -42, 0, 8, -58, 0, 24, 98, -32, 0, 2, 80, 1, -96, 16, 0, -56, 56, 32, 0, -72, -88, 0, 60, 56, 4, 6, 8, 0, -16, 3, 70, 10, 24, -35, 0, -36, -8, 16, 152, 18, -116, 32, -24, 40, 28, 10, 4, 0, -44, -38, 0, -14, -40, -2, -104, 36, -50, -72, -64, -52, 39, -8, 16, -34, -16, -16, -20, -4, -32, -4, 108, 88, -24, 0, 38, 8, -88, -10, 16, 18, -80, 16, 36, 80, 0, 0, 0, 70, -8, 80, 52, 60, 80, -6, -48, -8, 0, 52, 80, 0, -64, 8, 5, -68, 4, 22, -40, 64, -44, -4, 0, 24, 0, -40, -60, -26, 4, -44, -8, 0, 80, -16, -32, 4, -72, 0, -80, 79, 70, -24, -12, 112, -32, -30, 88, 20, -70, -18, 0, 32, 108, -32, 0, -40, 22, 54, 56, -88, 88, -20, -72, 0, 48, -16, -28, 40, 60, -2, -40, 88, 56, 52, 76, 14, 0, 0, 18, 48, -38, -4, 40, -24, 12, -1, 18, 8, 32, 0, 4, -8, 40, 0, -24, 30, -62, 44, -16, -40, 0, -6, 0, 90, -108, 20, 8, 8, 40, -24, 40, 86, -8, 0, 88, 0, -120, -18, 40, 16, 72, -16, 60, 0, -140, -4, -16, 56, 0, 48, -116, -80, 12, 2, 80, 6, 64, 24, -56, 96, 10, -39, 176, -42, 12, -40, 0, 4, -72, 4, 14, -32, -4, -16, 0, 4, 0, -38, -63, -64, 16, -3, -50, -40, -96, -16, 32, 0, -6, 0, -2, -70, -72, 8, -48, -28, -100, 0, -64, 0, 0, 8, 4, -16, 60, -40, -32, -40, -80, -5, 88, 32, 0, 0, -152, 24, 40, 4, 26, 12, 36, 10, 30, 28, 8, -4, 0, -8, 224, -8, 2, -48, -80, -4, -56, 0, -86, 8, 30, 0, -8, 12, 64, 48, 36, -40, 128, -56, 72, 18, -24, 4, 0, -13, 38, 56, -152, -22, 0, -58, 24, -58, -46, -28, -4, 0, -40, -9, 38, 68, 160, 28, 32, 40, -36, 10, 56, 64, 0, 0, -72, 0, 24, 80, 222, -70, 12, -56, -32, -12, 26, 0, 2, -16, -80, 72, 152, 8, -56, -92, 32, 36, 16, 14, 0, 16, -136, -4, -4, 48, 80, 48, -120, -20, 44, 64, 48, 0, 88, -8, 48, 8, 64, -60, 32, -60, 32, 0, 8, -16, -39, -2, -184, 16, -194, 20, -24, 16, 120, -4, -122, -12, 12, 0, 24, -2, -16, -36, -14, 0, 0, 44, 132, -10, -48, 26, 0, -64, 58, 116, 184, -4, -98, 4, 52, -4, 56, 76, -16, 0, 8, 64, -64, 0, 52, -40, 20, 3, -96, 76, -82, 12, 0, 22, 43, 6, 4, 20, -48, 36, 4, 0, 16, 28, 16, 0, 0, -24, -10, 8, 104, -4, 152, -14, 16, -16, -144, 16, 0, 5, 156, 136, -50, -24, 80, 24, 112, -40, -40, 0, 28, 0, -68, 96, 0, -28, -24, 46, -36, -14, 52, 42, -8, -2, 0, -120, 70, 8, 94, 72, -14, -8, 0, 80, 16, 30, -20, 0, -40, -36, 160, -38, 68, -24, -12, 24, -96, -4, -24, 56, 0, 2, 8, -12, -136, 0, -2, -44, -52, 32, -128, 104, -96, 0, -12, -4, 48, -60, -20, -76, 156, -32, -24, 56, -96, -2, 0, 4, 0, 0, 17, -59, 32, -48, -120, 32, 8, -12, 40, 26, -132, -32, 130, -15, -8, 16, 106, 72, 14, 0, 6, 0, 0, -32, -104, -96, 32, 2, 28, -40, -80, 4, 140, -62, 2, 0, -24, -58, -96, -44, 124, -28, 0, -24, 0, 24, -32, -8, 0, 0, -44, -16, 122, 54, 88, -8, 38, -104, 44, -8, 152, 0, 0, -20, 112, 0, 68, 0, -112, 48, 48, -12, -8, -78, 0, -36, 42, 72, -24, 0, -44, 40, 128, 3, 132, 52, -88, 0, 88, 68, 0, -44, 134, -64, 40, -4, -102, -16, -100, 84, 0, 60, 48, -8, 12, 52, -48, 20, 26, -72, -100, -3, -32, 0, 36, -2, 112, -20, 10, -43, -128, -12, -44, -56, 94, -4, 0, 0, -64, 44, -54, 64, -8, 12, -128, 10, 0, -60, -60, 0, -48, -8, -24, 16, -202, 0, -10, -8, 136, -12, 96, 50, 0, -2, -88, 8, -80, -56, -52, 0, 32, -28, 4, -48, -44, 0, 108, 24, 127, 48, 40, 16, -4, 44, 28, 2, -64, -54, -52, 52, 46, -6, 0, 14, 180, -24, -102, 58, 56, 24, 16, 0, -96, 76, -6, 8, 4, 24, 56, 12, -208, -14, 24, 16, 0, 0, 48, -2, 26, 32, -68, -8, -84, 88, 8, 52, -4, 0, 116, 38, 60, -8, 96, 4, 104, 16, -118, 8, 0, -56, 0, 24, 86, -32, 8, -44, -48, -40, 88, 0, 40, 19, -96, 0, -20, -76, 64, -8, -16, 12, -122, 0, -74, -32, -28, 15, 0, 24, -22, 36, -8, -50, -8, -6, 92, -10, 152, -56, -78, 0, -104, -2, 44, 56, 0, 16, -40, 112, -116, -2, -16, -36, 0, -36, 52, 28, 0, 28, 176, 76, -176, -12, 40, -24, -128, 0, 68, 0, -130, 64, -2, 56, -56, 8, 96, -96, -14, -16, 0, -8, 144, 0, -36, 68, -32, 20, 20, 56, -136, -48, 0, 0, -24, 40, 176, 8, -28, -42, -6, -88, 56, 16, -8, -24, 0, -3, 78, 24, -88, 48, 100, -72, 35, 0, 73, -32, -104, 26, -2, -16, -32, 16, 72, 8, -16, 72, -32, 4, 32, -12, 0, -64, -54, -10, -60, 40, 0, 3, -168, 86, 38, 56, -54, 0, 40, -10, 28, 2, -8, 8, 150, 56, 124, 4, 72, 48, 0, -48, -60, 0, 56, 8, 124, -36, -78, -48, -152, 84, 16, 0, 128, -112, 120, -8, -60, 4, 0, 10, 24, -64, 32, 98, 0, -64, 120, 2, 30, 4, 94, 10, -112, -12, 164, -32, 4, 0, -16, -24, -40, 88, 32, -24, 52, 0, -140, 0, 76, 68, 0, -28, -80, -82, 72, -70, 48, 56, -4, 6, -74, -24, -70, 0, 56, -64, -52, -56, 8, -18, 0, -28, -68, -8, -80, -8, 0, -32, -8, -88, -22, 144, -48, -24, 0, 100, -24, 4, -40, 0, -48, -32, -64, 0, 40, 6, -140, -82, 104, 4, -28, 44, 0, -72, -16, -16, 0, -4, 16, 143, 0, 28, -16, 14, 84, 0, 0, 50, 176, -8, -176, -80, 24, 40, 104, 50, 100, 10, 0, 30, 40, 20, 16, 24, 42, -12, 18, -80, 40, 0, 3, 0, -112, 32, 8, 96, -120, 22, 16, -26, -54, 8, 54, -160, 0, 10, -192, 20, -16, 12, -28, 36, 0, -44, 16, -14, 112, 0, 22, -28, 36, 2, 8, 72, 162, 8, 160, -42, -52, 0, 0, 8, -136, -58, -100, 0, -128, 24, -84, 98, -138, -32, 4, 0, -128, 2, 72, 80, -126, 1, -136, -96, 76, 16, 76, 0, 0, -56, 0, 56, -24, 32, 30, 0, -12, -72, 152, -88, -76, 0, -44, 60, 24, 56, -126, 4, 24, 6, -24, 8, -158, 0, 0, -16, -20, 3, 8, 70, 56, 10, -40, 24, 0, -35, 22, 0, 144, -36, 0, -8, -40, 16, 80, 152, 0, 18, -144, -116, 0, 32, -56, -24, 16, 40, -12, 28, -184, 10, -208, 4, -32, 0, -104, -44, -176, -38, -48, 0, 112, -14, -46, -40, -208, -2, 0, -104, -60, 36, -18, -50, -24, -72, 88, 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