Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 20184, 'analytic_conductor': 40.29251285993808, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [29, 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': [5046, 1, [3365, 4207], [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': [[5, [3, 1]], [7, [-5, 1]], [11, [6, 1]], [17, [3, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052523446, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 206240, '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': '5046.2.a.i', 'level': 5046, '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, 29], 'level_radical': 174, 'minimal_twist': '174.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}+5q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/5046/i'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5046.2.a', 'trace_display': [1, -1, -3, 5], 'trace_hash': 607052681373047160, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '0.980', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.004', 'prec': 4}, {'__RealLiteral__': 0, 'data': '1.955', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.102', 'prec': 10}, {'__RealLiteral__': 0, 'data': '4.848', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 7}, 'traces': [1, 1, -1, 1, -3, -1, 5, 1, 1, -3, -6, -1, -4, 5, 3, 1, -3, 1, 1, -3, -5, -6, 0, -1, 4, -4, -1, 5, 0, 3, 4, 1, 6, -3, -15, 1, 1, 1, 4, -3, 9, -5, 7, -6, -3, 0, 3, -1, 18, 4, 3, -4, -6, -1, 18, 5, -1, 0, 3, 3, 10, 4, 5, 1, 12, 6, -4, -3, 0, -15, 12, 1, -2, 1, -4, 1, -30, 4, -14, -3, 1, 9, 0, -5, 9, 7, 0, -6, 6, -3, -20, 0, -4, 3, -3, -1, -8, 18, -6, 4, 6, 3, -13, -4, 15, -6, -9, -1, 8, 18, -1, 5, 3, -1, 0, 0, -4, 3, -15, 3, 25, 10, -9, 4, 3, 5, 22, 1, -7, 12, -12, 6, 5, -4, 3, -3, 6, 0, 14, -15, -3, 12, 24, 1, 0, -2, -18, 1, 3, -4, 17, 1, -3, -30, -12, 4, 13, -14, 6, -3, 0, 1, -5, 9, -18, 0, 6, -5, 3, 9, 1, 7, -21, 0, 20, -6, -3, 6, 0, -3, 8, -20, -10, 0, -3, -4, 18, 3, -5, -3, 21, -1, 4, -8, -12, 18, 9, -6, -16, 4, 4, 6, 0, 3, -27, -13, 0, -4, -6, 15, 25, -6, -12, -9, -21, -1, 20, 8, 2, 18, 12, -1, -16, 5, 4, 3, 3, -1, 7, 0, 30, 0, 24, -4, -9, 3, 14, -15, 6, 3, 17, 25, -1, 10, -54, -9, -4, 4, 0, 3, 0, 5, 0, 22, -9, 1, 0, -7, 5, 12, 0, -12, 3, 6, 18, 5, -6, -4, -6, 3, -20, -3, 20, 6, -24, 0, 14, 14, 4, -15, -6, -3, 14, 12, 3, 24, 45, 1, -8, 0, 8, -2, 6, -18, -9, 1, 6, 3, 0, -4, 35, 17, -6, 1, -30, -3, -20, -30, 13, -12, -21, 4, 11, 13, -15, -14, 0, 6, 0, -3, 9, 0, -3, 1, -16, -5, -8, 9, 15, -18, -17, 0, 1, 6, 12, -5, 10, 3, -3, 9, -24, 1, 55, 7, 0, -21, -3, 0, 2, 20, 4, -6, -30, -3, -36, 6, 15, 0, -9, -3, -18, 8, -25, -20, 6, -10, -26, 0, 9, -3, -30, -4, 20, 18, -3, 3, 0, -5, 28, -3, -22, 21, -6, -1, 90, 4, 7, -8, 12, -12, 0, 18, 12, 9, 42, -6, 26, -16, -5, 4, 30, 4, -16, 6, -3, 0, -6, 3, -8, -27, -6, -13, 15, 0, 0, -4, -14, -6, 21, 15, -14, 25, 3, -6, -12, -12, 50, -9, -24, -21, 36, -1, -26, 20, 0, 8, 0, 2, -1, 18, 18, 12, -12, -1, -18, -16, -3, 5, -15, 4, -54, 3, -17, 3, 60, -1, 11, 7, 3, 0, -12, 30, -16, 0, 12, 24, 12, -4, -20, -9, -13, 3, -42, 14, 4, -15, -6, 6, -24, 3, -4, 17, 0, 25, 24, -1, 23, 10, 5, -54, 30, -9, 0, -4, 18, 4, 60, 0, -22, 3, -6, 0, 33, 5, -18, 0, -3, 22, -21, -9, -10, 1, -1, 0, 39, -7, -18, 5, 21, 12, 6, 0, 2, -12, -20, 3, -12, 6, -23, 18, 3, 5, -36, -6, 27, -4, 0, -6, -108, 3, 1, -20, -8, -3, -24, 20, 26, 6, 10, -24, 0, 0, -70, 14, 3, 14, 45, 4, -28, -15, -18, -6, 30, -3, -9, 14, 5, 12, -33, 3, -22, 24, -21, 45, 0, 1, 16, -8, -4, 0, 0, 8, 36, -2, 12, 6, 21, -18, 4, -9, -9, 1, -24, 6, 45, 3, 16, 0, 36, -4, -32, 35, -4, 17, -75, -6, -8, 1, 0, -30, -12, -3, -34, -20, 27, -30, -33, 13, -17, -12, 0, -21, 30, 4, -29, 11, 6, 13, -3, -15, -13, -14, -25, 0, -66, 6, -72, 0, 12, -3, 27, 9, -40, 0, 21, -3, -6, 1, -18, -16, -20, -5, -42, -8, 36, 9, -2, 15, 0, -18, 32, -17, -12, 0, -15, 1, 0, 6, 16, 12, -60, -5, -13, 10, -4, 3, 18, -3, -40, 9, -3, -24, -9, 1, -18, 55, -7, 7, 24, 0, -52, -21, -30, -3, -42, 0, -27, 2, -24, 20, 45, 4, 1, -6, 9, -30, 30, -3, 14, -36, -14, 6, 0, 15, -72, 0, -6, -9, -48, -3, -65, -18, -17, 8, 0, -25, 10, -20, 1, 6, -21, -10, -50, -26, 54, 0, 24, 9, -8, -3, 4, -30, 21, -4, -9, 20, 0, 18, -45, -3, 10, 3, 0, 0, -51, -5, 7, 28, 0, -3, -36, -22, 40, 21, 9, -6, -12, -1, 22, 90, 0, 4, 6, 7, 16, -8, -5, 12, 9, -12, -72, 0, 0, 18, -39, 12, 32, 9, -3, 42, 15, -6, -40, 26, -18, -16, -12, -5, -9, 4, 6, 30, 12, 4, 0, -16, 6, 6, 18, -3, 20, 0, 20, -6, 15, 3, 7, -8, -20, -27, 54, -6, -26, -13, 24, 15, 12, 0, 49, 0, -14, -4, -54, -14, -18, -6, -4, 21, 3, 15, 0, -14, 6, 25, -9, 3, 125, -6, -14, -12, 0, -12, 19, 50, -3, -9, -18, -24, -5, -21, -45, 36, -36, -1, 63, -26, 8, 20, 84, 0, 16, 8, -8, 0, 15, 2, -16, -1, -6, 18, 42, 18, 56, 12, 9, -12, -48, -1, 110, -18, -6, -16, 3, -3, 0, 5, 0, -15, 0, 4, 18, -54, -35, 3, -24, -17, 28, 3, 6, 60, 24, -1, 0, 11, 30, 7, -60, 3, 29, 0, 20, -12, -48, 30, 4, -16, -13, 0, 18, 12, 18, 24, 21, 12, -54, -4, -49, -20, -11, -9, 6, -13, 0, 3, 15, -42, 12, 14, 8, 4, 0, -15, 36, -6, -63, 6, 0, -24, 30, 3, -15, -4, -9, 17, -12, 0, 4, 25, 3, 24, -18, -1, 70, 23, 16, 10, -12, 5, -36, -54, 8, 30, 24, -9, -27, 0, -15, -4, 0, 18, 47, 4, 17, 60, 48, 0, 19, -22, -1, 3, 120, -6, -9, 0, -12, 33, -6, 5, -43, -18, -10, 0, -36, -3, 0, 22, 3, -21, 60, -9, -40, -10, 24, 1, 36, -1, 56, 0, -55, 39, 30, -7, -44, -18, 0, 5, -30, 21, 11, 12, 3, 6, 15, 0, 18, 2, -2, -12, -36, -20, -16, 3, -4, -12, -75, 6, 85, -23, 30, 18, -24, 3, -2, 5, 36, -36, 48, -6, -10, 27, -15, -4, 0, 0, 28, -6, 9, -108, 0, 3, 0, 1, 18, -20, -60, -8, 10, -3, 25, -24, 48, 20, -22, 26, -6, 6, 12, 10, 65, -24, 26, 0, 0, 0, -36, -70, -9, 14, 18, 3, -36, 14, 30, 45, 48, 4, -11, -28, -20, -15, 3, -18, -11, -6, 3, 30, 0, -3, -20, -9, 0, 14, 78, 5, -9, 12, -28, -33, 12, 3, -25, -22, 22, 24, -21, -21, 4, 45, 6, 0, 6, 1, -1, 16, -90, -8, -24, -4, 10, 0, -7, 0, -30, 8, -72, 36, -12, -2, 30, 12, 4, 6, 0, 21, 12, -18, 54, 4, -12, -9, -60, -9, 15, 1, -42, -24, 12, 6, 0, 45, -26, 3, 36, 16, -18, 0, 5, 36, -48, -4, 34, -32, -30, 35, -51, -4, -36, 17, 16, -75, -105, -6, 14, -8, 3, 1, -54, 0, 0, -30, 6, -12, 60, -3, 72, -34, 8, -20, -18, 27, -13, -30, 6, -33, 12, 13, 7, -17, -15, -12, 6, 0, -18, -21, 0, 30, 0, 4, -44, -29, 14, 11, 0, 6, 0, 13, -21, -3, 36, -15, 32, -13, 14, -14, 0, -25, 40, 0, -3, -66, 36, 6, -4, -72, 12, 0, -3, 12, 46, -3, -50, 27, -39, 9, 0, -40, 24, 0, -60, 21, 4, -3, -36, -6, -15, 1, 22, -18, 26, -16, -15, -20, 46, -5, 0, -42, -48, -8, 90, 36, 0, 9, -24, -2, -9, 15, 1, 0, -39, -18, -10, 32, -18, -17, -24, -12, 47, 0, 12, -15, -84, 1, 28, 0, 18, 6, 105, 16, 52, 12, 3, -60, 42, -5, 18, -13, 15, 10, 12, -4, 20, 3, 54, 18, 60, -3, 0, -40, 17, 9, 18, -3, 0, -24, -60, -9, -18, 1, -36, -18, -11, 55, 12, -7, -18, 7, -3, 24, 45, 0, 10, -52, 12, -21, -42, -30, -2, -3, 16, -42, 36, 0, -80, -27, -12, 2, -132, -24, 68, 20, -12, 45, 0, 4, 18, 1, 20, -6, 45, 9, 0, -30, 13, 30, -42, -3, -32, 14, 42, -36, 0, -14, 34, 6, -4, 0, 0, 15, -71, -72, 6, 0, -27, -6, -135, -9, 24, -48, 0, -3, 72, -65, 4, -18, 24, -17, -26, 8, 0, 0, -12, -25, -26, 10, -24, -20, 12, 1, 14, 6, -23, -21, -30, -10, -18, -50, -5, -26, -12, 54, 70, 0, -30, 24, 12, 9, 125, -8, 0, -3, -15, 4, 2, -30, -18, 21, -15, -4, 70, -9, -60, 20, 36, 0, 0, 18, 22, -45, -9, -3, -14, 10, 6, 3, -105, 0, -36, 0, -33, -51, -39, -5, -18, 7, 18, 28, 9, 0, 72, -3, 3, -36, -24, -22, 40, 40, 21, 21, -84, 9, -34, -6, 10, -12, 60, -1, 0, 22, 1, 90, 0, 0, 32, 4, -39, 6, 60, 7, 25, 16, 18, -8, -30, -5, 63, 12, -21, 9, -48, -12, -80, -72, -6, 0, -33, 0, -64, 18, -2, -39, 12, 12, -100, 32, 20, 9, 0, -3, -52, 42, 12, 15, -12, -6, 0, -40, 23, 26, 15, -18, 7, -16, -3, -12, 0, -5, 22, -9, 36, 4, 36, 6, 35, 30, -27, 12, -9, 4, 46, 0, 0, -16, 42, 6, 9, 6, 108, 18, -33, -3, -65, 20, -1, 0, -12, 20, -53, -6, 8, 15, 120, 3, 0, 7, 24, -8, 42, -20, -18, -27, -26, 54, -24, -6, -45, -26, -10, -13, 24, 24, -88, 15, 0, 12, 51, 0, 38, 49, 70, 0, -102, -14, 52, -4, -3, -54, 78, -14, 14, -18, -45, -6, 30, -4, -16, 21, 28, 3, 0, 15, 40, 0, 18, -14, -30, 6, 85, 25, -30, -9, 6, 3, -74, 125, 9, -6, -9, -14, -53, -12, -5, 0, 48, -12, 72, 19, 33, 50, 60, -3, 0, -9, 22, -18, -165, -24, -18, -5, 21, -21, -63, -45, -11, 36, 0, -36, -78, -1, -20, 63, -16, -26, -39, 8, 9, 20, 4, 84, 3, 0, 14, 16, 0, 8, -6, -8, -16, 0, -36, 15, 39, 2, 47, -16, -12, -1, 0, -6, 58, 18, -21, 42, 63, 18, 90, 56, -4, 12, 0, 9, 0, -12, 9, -48, 48, -1, -8, 110, 24, -18, -24, -6, -2, -16, -45, 3, -30, -3, -70, 0, -16, 5, 30, 0, 27, -15, -36, 0, 0, 4, 34, 18, 32, -54, 54, -35, -56, 3, 4, -24, 75, -17, 18, 28, 75, 3, 0, 6, 27, 60, 8, 24, 54, -1, -8, 0, 0, 11, 12, 30, 23, 7, 12, -60, 78, 3, -36, 29, 34, 0, 15, 20, -8, -12, -27, -48, -54, 30, 6, 4, 33, -16, -24, -13, 90, 0, 17, 18, -18, 12, -10, 18, 0, 24, -60, 21, 67, 12, -30, -54, -15, -4, -32, -49, 29, -20, 12, -11, 17, -9, -6, 6, -30, -13, 0, 0, 3, 3, -12, 15, 40, -42, 13, 12, -84, 14, -100, 8, 25, 4, 18, 0, 126, -15, 66, 36, 60, -6, 0, -63, 72, 6, 0, 0, 18, -24, -12, 30, 6, 3, -9, -15, -27, -4, -120, -9, 27, 17, 40, -12, 12, 0, -62, 4, -21, 25, -12, 3, 70, 24, 6, -18, 0, -1, -36, 70, 18, 23, -69, 16, 28, 10, 20, -12, 0, 5, -13, -36, 42, -54, -6, 8, -68, 30, -36, 24, -30, -9, 0, -27, 2, 0, 18, -15, -56, -4, 0, 0, -57, 18, 70, 47, -32, 4, -78, 17, 43, 60, 12, 48, -48, 0, 64, 19, 15, -22, -39, -1, -44, 3, 0, 120, 36, -6, -90, -9, -16, 0, 162, -12, 28, 33, 60, -6, 48, 5, -79, -43, 13, -18, 21, -10, -40, 0, 4, -36, -42, -3, -4, 0, -18, 22, -9, 3, 18, -21, 40, 60, 6, -9, -52, -40, 3, -10, 24, 24, 0, 1, 9, 36, 30, -1, -76, 56, 18, 0, -75, -55, 0, 39, 7, 30, -54, -7, -45, -44, -24, -18, -54, 0, 8, 5, 52, -30, 0, 21, -16, 11, 30, 12, 90, 3, -34, 6, 42, 15, 48, 0, 53, 18, 27, 2, 0, -2, -63, -12, 24, -36, -24, -20, -126, -16, -45, 3, 42, -4, 126, -12, -1, -75, -54, 6, 11, 85, -9, -23, 0, 30, 20, 18, -30, -24, -24, 3, -9, -2, -14, 5, -51, 36, -17, -36, 14, 48, -150, -6, 23, -10, 0, 27, 69, -15, 64, -4, 72, 0, 3, 0, -100, 28, 6, -6, 24, 9, -108, -108, 48, 0, -66, 3, 10, 0, 65, 1, 78, 18, -54, -20, 17, -60, -24, -8, -54, 10, 0, -3, -105, 25, 38, -24, -10, 48, 3, 20, 0, -22, -1, 26, 96, -6, 55, 6, 21, 12, 3, 10, 40, 65, 50, -24, 48, 26, 80, 0, -54, 0, -48, 0, -38, -36, -24, -70, 9, -9, 36, 14, 8, 18, 0, 3, -35, -36, -4, 14, 24, 30, 36, 45, -21, 48, 0, 4, 0, -11, 9, -28, 15, -20, -55, -15, 0, 3, 54, -18, 45, -11, 45, -6, 84, 3, -20, 30, -10, 0, 162, -3, 10, -20, 0, -9, -15, 0, -8, 14, 51, 78, 33, 5, 20, -9, -7, 12, 66, -28, -80, -33, 0, 12, -42, 3, -32, -25, 36, -22, -33, 22, 47, 24, -40, -21, 0, -21, -71, 4, -9, 45, 0, 6, 25, 0, 12, 6, 54, 1, 36, -1, -22, 16, 90, -90, 11, -8, 0, -24, 48, -4, -85, 10, -6, 0, -150, -7, 0, 0, -16, -30, 0, 8, -18, -72, 5, 36, -3, -12, -36, -2, -9, 30, -54, 12, 25, 4, 72, 6, 60, 0, 25, 21, 0, 12, 84, -18, -32, 54, 39, 4, -12, -12, 50, -9, -32, -60, -42, -9, 126, 15, 3, 1, 0, -42, 74, -24, -15, 12, 3, 6, -10, 0, 40, 45, 48, -26, 8, 3, 18, 36, -120, 16, -77, -18, 12, 0, 33, 5, 72, 36, 9, -48, -12, -4, 149, 34, -6, -32, 12, -30, 0, 35, -12, -51, 45, -4, 22, -36, 0, 17, -54, 16, 27, -75, -6, -105, 6, -6, -32, 14, -18, -8, -15, 3, -72, 1, -20, -54, -69, 0, 86, 0, -20, -30, 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