Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 17100, 'analytic_conductor': 34.136046864097366, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -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': [4275, 1, [1901, 1027, 1351], [1, 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': [[2, [1, 1]], [7, [-2, 1]], [11, [-2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797781683, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 194536, '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': '4275.2.a.g', 'level': 4275, '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': [3, 5, 19], 'level_radical': 285, 'minimal_twist': '855.2.c.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{4}+2q^{7}+3q^{8}+2q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/4275/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4275.2.a', 'trace_display': [-1, 0, 0, 2], 'trace_hash': 82043976108061172, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.017', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '2.014', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '4.971', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 7}, 'traces': [1, -1, 0, -1, 0, 0, 2, 3, 0, 0, 2, 0, -2, -2, 0, -1, -2, 0, 1, 0, 0, -2, 0, 0, 0, 2, 0, -2, -6, 0, -4, -5, 0, 2, 0, 0, 2, -1, 0, 0, 2, 0, -10, -2, 0, 0, 0, 0, -3, 0, 0, 2, 10, 0, 0, 6, 0, 6, 0, 0, -10, 4, 0, 7, 0, 0, -4, 2, 0, 0, -8, 0, 4, -2, 0, -1, 4, 0, -8, 0, 0, -2, 12, 0, 0, 10, 0, 6, 10, 0, -4, 0, 0, 0, 0, 0, -18, 3, 0, 0, 0, 0, 16, -6, 0, -10, 8, 0, -6, 0, 0, -2, -6, 0, 0, 6, 0, 0, -4, 0, -7, 10, 0, 4, 0, 0, 12, 3, 0, 0, -18, 0, 2, 4, 0, -6, 6, 0, -4, 0, 0, 8, -4, 0, 0, -4, 0, -2, 8, 0, -12, 3, 0, -4, 0, 0, 16, 8, 0, 0, 0, 0, -14, -2, 0, -12, 0, 0, -9, 0, 0, 10, 6, 0, 0, -2, 0, -10, 24, 0, -6, 4, 0, 0, 0, 0, -4, 0, 0, 0, -18, 0, 10, 18, 0, 3, 6, 0, -8, 0, 0, 0, -12, 0, 0, -16, 0, 2, 2, 0, -4, -10, 0, -8, 0, 0, -8, 6, 0, 0, 4, 0, -8, -10, 0, 6, -4, 0, -22, 0, 0, -18, -14, 0, 0, 0, 0, 4, 2, 0, -14, 7, 0, 10, 0, 0, -2, -12, 0, 0, -14, 0, 0, -12, 0, -17, -30, 0, 4, 0, 0, 18, -24, 0, 0, -2, 0, 4, -6, 0, 0, 2, 0, -6, 0, 0, 8, 4, 0, 0, 22, 0, -22, 8, 0, 4, 4, 0, -13, 0, 0, -4, -2, 0, 0, 6, 0, -8, 0, 0, -20, 12, 0, -1, 0, 0, -20, -4, 0, 0, 6, 0, 24, -16, 0, 8, -14, 0, -12, 0, 0, 0, -2, 0, 0, 14, 0, 6, 0, 0, -16, -12, 0, 0, 0, 0, 22, 9, 0, 0, -8, 0, -20, -30, 0, -6, -36, 0, 2, 0, 0, -10, 34, 0, 0, -10, 0, -24, 22, 0, 1, 6, 0, 4, 0, 0, -34, 0, 0, 0, 20, 0, -18, 4, 0, 0, 12, 0, 16, 0, 0, 18, -36, 0, 0, -10, 0, 18, -36, 0, 0, -9, 0, -6, 0, 0, -8, 8, 0, 0, 30, 0, 8, 0, 0, 12, 4, 0, 22, 0, 0, -16, 0, 0, 0, 10, 0, -2, 18, 0, -18, 4, 0, 30, 0, 0, -20, -8, 0, 0, 12, 0, 26, 8, 0, 6, 0, 0, -16, 0, 0, -4, 4, 0, 0, 8, 0, 14, 10, 0, 4, 6, 0, 4, 0, 0, 40, 22, 0, 0, 32, 0, 14, 6, 0, 14, 4, 0, -8, 0, 0, 0, -20, 0, 0, 4, 0, -2, -18, 0, -4, 14, 0, 7, 0, 0, 16, -30, 0, 0, -26, 0, 12, 2, 0, 4, -16, 0, -20, 0, 0, 14, 16, 0, 0, 0, 0, -12, -42, 0, 8, 11, 0, 30, 0, 0, 0, -4, 0, 0, -42, 0, 16, 18, 0, 24, 8, 0, -23, 0, 0, -2, -4, 0, 0, -12, 0, 6, -6, 0, 2, 0, 0, 10, 0, 0, 28, -6, 0, 0, -6, 0, -16, -8, 0, 4, -34, 0, 20, 0, 0, -22, -12, 0, 0, 22, 0, -24, -6, 0, 28, 4, 0, -4, 0, 0, -24, 13, 0, 0, 24, 0, 20, 12, 0, 2, 12, 0, -4, 0, 0, -2, -26, 0, 0, -8, 0, 0, -36, 0, -10, 20, 0, 12, 0, 0, 16, -5, 0, 0, 0, 0, 0, 20, 0, 12, -42, 0, -20, 0, 0, -6, 20, 0, 0, -24, 0, -16, -4, 0, -8, -24, 0, 14, 0, 0, 6, 12, 0, 0, 18, 0, 26, 0, 0, 2, 24, 0, 0, 0, 0, 14, 34, 0, 0, -2, 0, 0, 20, 0, 18, 16, 0, 36, 0, 0, 0, 0, 0, 0, -20, 0, -26, -22, 0, 9, 18, 0, -36, 0, 0, 8, -48, 0, 0, 20, 0, 10, -20, 0, 36, -6, 0, 36, 0, 0, -4, -2, 0, 0, -24, 0, 2, 14, 0, -34, 0, 0, 10, 0, 0, 30, 0, 0, 0, -24, 0, -22, 42, 0, 32, -1, 0, 6, 0, 0, 14, -12, 0, 0, 20, 0, -36, 34, 0, 0, -8, 0, 28, 0, 0, -20, 20, 0, 0, 18, 0, 4, 16, 0, 44, 0, 0, -12, 0, 0, -4, -16, 0, 0, -12, 0, -12, 18, 0, 36, 0, 0, -34, 0, 0, -10, -14, 0, 0, -54, 0, 36, 2, 0, -16, 0, 0, 3, 0, 0, 16, -6, 0, 0, -12, 0, 20, 8, 0, 8, -18, 0, 0, 0, 0, -30, 8, 0, 0, -8, 0, 0, -40, 0, 12, 12, 0, -4, 0, 0, -10, -22, 0, 0, 24, 0, -18, 48, 0, 0, 12, 0, 26, 0, 0, -14, 6, 0, 0, -2, 0, -18, 0, 0, 7, 18, 0, 4, 0, 0, -14, -10, 0, 0, 0, 0, 20, 20, 0, 24, 30, 0, -44, 0, 0, -12, -4, 0, 0, -26, 0, 8, -16, 0, 8, -18, 0, 0, 0, 0, 14, 16, 0, 0, 4, 0, -38, -4, 0, -4, -52, 0, 24, 0, 0, 8, 0, 0, 0, 6, 0, -10, 24, 0, -20, -4, 0, -18, 0, 0, -48, 4, 0, 0, -16, 0, 24, -40, 0, 22, -36, 0, 40, 0, 0, -32, 16, 0, 0, -14, 0, 30, 48, 0, -3, 14, 0, -4, 0, 0, 4, 8, 0, 0, 50, 0, 0, 0, 0, 20, 36, 0, -8, 0, 0, -12, 18, 0, 0, -2, 0, 18, 12, 0, -15, 4, 0, 14, 0, 0, 22, -21, 0, 0, -12, 0, -8, -16, 0, 10, 22, 0, 20, 0, 0, 26, 24, 0, 0, -12, 0, 2, 0, 0, 32, 20, 0, 16, 0, 0, 8, 20, 0, 0, -8, 0, 0, 14, 0, -16, 10, 0, -6, 0, 0, 0, -6, 0, 0, 36, 0, 42, -12, 0, -10, -8, 0, 23, 0, 0, 16, 30, 0, 0, 6, 0, 16, 0, 0, -4, 20, 0, -8, 0, 0, 42, 16, 0, 0, -16, 0, -54, 0, 0, 44, 24, 0, -8, 0, 0, -24, 23, 0, 0, 24, 0, -32, 6, 0, 4, -36, 0, -50, 0, 0, 4, -12, 0, 0, 6, 0, 6, -24, 0, 0, -2, 0, 0, 0, 0, 26, -14, 0, 0, -12, 0, -58, -28, 0, 18, 66, 0, 32, 0, 0, 6, 24, 0, 0, 16, 0, -8, -48, 0, 0, -12, 0, 34, 0, 0, -30, -20, 0, 0, 0, 0, 40, -22, 0, 12, 0, 0, -58, 0, 0, 22, 32, 0, 0, 8, 0, 6, 8, 0, -28, -28, 0, -12, 0, 0, -8, -4, 0, 0, 42, 0, -14, 24, 0, 13, -20, 0, -10, 0, 0, -24, 44, 0, 0, -20, 0, -4, 0, 0, 28, 2, 0, -12, 0, 0, 16, 4, 0, 0, -38, 0, -18, -10, 0, 26, -44, 0, -12, 0, 0, 24, 50, 0, 0, 0, 0, 36, -12, 0, -30, 10, 0, 20, 0, 0, 16, -36, 0, 0, 12, 0, -4, -16, 0, 7, 66, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 20, -22, 0, 0, -4, 0, 42, 0, 0, -2, 20, 0, 0, -8, 0, -12, -6, 0, -20, 60, 0, 2, 0, 0, -24, 48, 0, 0, 48, 0, 4, -42, 0, 36, 8, 0, 8, 0, 0, -12, 14, 0, 0, -8, 0, -4, -6, 0, 12, -18, 0, 16, 0, 0, -18, 28, 0, 0, -26, 0, 0, 36, 0, 20, 2, 0, -24, 0, 0, -40, 0, 0, 0, 52, 0, 22, -42, 0, -34, 20, 0, -8, 0, 0, -10, 0, 0, 0, 0, 0, -20, -4, 0, 46, -18, 0, 16, 0, 0, -18, -12, 0, 0, -36, 0, 40, 0, 0, 0, -36, 0, -32, 0, 0, 20, 16, 0, 0, 26, 0, -22, -8, 0, 20, -27, 0, -18, 0, 0, 0, 36, 0, 0, -42, 0, 0, 8, 0, 48, -8, 0, -33, 0, 0, 20, 2, 0, 0, 50, 0, 20, 12, 0, -34, -36, 0, 18, 0, 0, 4, 36, 0, 0, -16, 0, -16, 4, 0, -2, 24, 0, 68, 0, 0, 24, 0, 0, 0, -2, 0, 6, 10, 0, -24, -34, 0, 0, 0, 0, 12, -10, 0, 0, 18, 0, 58, -10, 0, 0, 68, 0, -74, 0, 0, 72, -62, 0, 0, -22, 0, -42, 28, 0, -36, -32, 0, -1, 0, 0, 36, -18, 0, 0, 46, 0, 28, -14, 0, 4, 0, 0, 64, 0, 0, -20, 4, 0, 0, 36, 0, 34, 12, 0, 32, 0, 0, 8, 0, 0, -8, -28, 0, 0, 2, 0, 6, -20, 0, -20, -48, 0, 34, 0, 0, 18, -14, 0, 0, -12, 0, -16, 6, 0, -8, -44, 0, 0, 0, 0, 12, -12, 0, 0, 44, 0, -20, 4, 0, -16, 4, 0, 12, 0, 0, 12, -24, 0, 0, 12, 0, -54, -8, 0, -12, 36, 0, 0, 0, 0, -60, 34, 0, 0, 0, 0, -38, 30, 0, 14, 8, 0, 58, 0, 0, 18, -2, 0, 0, 36, 0, -2, 58, 0, -16, 16, 0, 0, 0, 0, 18, 15, 0, 0, 32, 0, 14, -16, 0, 18, 12, 0, -64, 0, 0, 12, -72, 0, 0, -20, 0, 8, -8, 0, -20, -24, 0, 18, 0, 0, -68, 0, 0, 0, -48, 0, -44, -30, 0, -8, -48, 0, 54, 0, 0, -8, -14, 0, 0, 0, 0, 40, -6, 0, -26, -12, 0, -36, 0, 0, -56, -4, 0, 0, -28, 0, 0, 10, 0, -22, 2, 0, 16, 0, 0, -24, -40, 0, 0, 18, 0, -16, 36, 0, -24, 0, 0, -12, 0, 0, 20, -26, 0, 0, -24, 0, 32, -6, 0, -6, 24, 0, -26, 0, 0, 6, 4, 0, 0, -18, 0, 0, 0, 0, -37, -7, 0, 18, 0, 0, -28, -12, 0, 0, 10, 0, 14, 14, 0, -50, -62, 0, -16, 0, 0, 0, 36, 0, 0, -20, 0, 20, 58, 0, 0, -8, 0, -30, 0, 0, 0, 44, 0, 0, -72, 0, 80, -12, 0, 4, 32, 0, -4, 0, 0, -26, -6, 0, 0, -24, 0, 16, 0, 0, -10, -8, 0, 6, 0, 0, 12, 0, 0, 0, -32, 0, 36, -14, 0, 16, -28, 0, -48, 0, 0, -4, -20, 0, 0, 38, 0, 12, 60, 0, 0, -4, 0, 52, 0, 0, 70, -24, 0, 0, -12, 0, -50, -24, 0, 0, 36, 0, -70, 0, 0, -34, -28, 0, 0, -10, 0, -24, -60, 0, -2, 20, 0, -4, 0, 0, 8, 6, 0, 0, -18, 0, -6, 48, 0, -12, 0, 0, -16, 0, 0, 16, -36, 0, 0, -24, 0, -40, 0, 0, -48, -66, 0, 36, 0, 0, 0, -40, 0, 0, -48, 0, -18, -32, 0, -16, 24, 0, 57, 0, 0, -14, 12, 0, 0, -42, 0, -48, -18, 0, -2, 3, 0, -42, 0, 0, -42, -4, 0, 0, -26, 0, -32, -4, 0, 8, 66, 0, 16, 0, 0, -50, -12, 0, 0, 0, 0, 0, 58, 0, 40, 20, 0, -36, 0, 0, 0, 8, 0, 0, -8, 0, 12, 4, 0, -18, 52, 0, 0, 0, 0, 6, -18, 0, 0, 18, 0, -12, 0, 0, 12, 15, 0, 4, 0, 0, 0, -42, 0, 0, 20, 0, -26, -22, 0, 7, -16, 0, 16, 0, 0, 12, 24, 0, 0, 8, 0, -16, 4, 0, -8, 50, 0, -22, 0, 0, 16, -20, 0, 0, 20, 0, 24, 26, 0, -24, 44, 0, 48, 0, 0, -12, 22, 0, 0, -6, 0, 0, 48, 0, -44, -32, 0, -28, 0, 0, 14, 16, 0, 0, -12, 0, 36, -8, 0, 20, 66, 0, -64, 0, 0, 8, -60, 0, 0, 0, 0, -42, -6, 0, 4, -16, 0, -10, 0, 0, 70, 6, 0, 0, 0, 0, -26, 0, 0, 6, -24, 0, -34, 0, 0, -12, 8, 0, 0, 42, 0, 12, 6, 0, -32, 10, 0, -8, 0, 0, 0, -45, 0, 0, -4, 0, -68, -16, 0, -90, 14, 0, 48, 0, 0, -6, -16, 0, 0, -16, 0, 0, -36, 0, -6, 12, 0, -20, 0, 0, 16, 8, 0, 0, -74, 0, 44, 42, 0, -16, -48, 0, 90, 0, 0, -16, 0, 0, 0, 18, 0, 0, 86, 0, -36, -44, 0, -72, 0, 0, 30, -8, 0, 0, -80, 0, -32, 24, 0, 23, -24, 0, 28, 0, 0, -24, 20, 0, 0, 32, 0, -2, -4, 0, -40, 4, 0, 36, 0, 0, -20, 50, 0, 0, 26, 0, 44, 20, 0, 12, -6, 0, -40, 0, 0, -18, -42, 0, 0, 6, 0, 24, -24, 0, -86, 0, 0, -2, 0, 0, 12, 0, 0, 0, 0, 0, 20, -26, 0, -6, 12, 0, -76, 0, 0, 12, 0, 0, 0, 58, 0, -28, -16, 0, 48, -6, 0, -66, 0, 0, 44, -32, 0, 0, 32, 0, -40, 6, 0, -24, 40, 0, -47, 0, 0, 16, -42, 0, 0, 24, 0, 48, -28, 0, -50, 0, 0, 4, 0, 0, 36, 34, 0, 0, 0, 0, -24, 30, 0, -20, -62, 0, 0, 0, 0, 0, -4, 0, 0, -40, 0, 66, -12, 0, 12, 12, 0, 0, 0, 0, -20, 58, 0, 0, -4, 0, -16, -66, 0, -32, -84, 0, -82, 0, 0, 40, 6, 0, 0, 6, 0, -8, -100, 0, -50, 28, 0, -28, 0, 0, 58, 4, 0, 0, 48, 0, 6, 8, 0, 12, 42, 0, -7, 0, 0, -42, 0, 0, 0, 14, 0, 24, 14, 0, 28, -39, 0, 20, 0, 0, -32, 10, 0, 0, -8, 0, 0, -24, 0, -44, -48, 0, -12, 0, 0, -20, -46, 0, 0, -20, 0, 0, 76, 0, 18, -28, 0, -6, 0, 0, 12, -12, 0, 0, 84, 0, 12, -16, 0, 4, 42, 0, 44, 0, 0, 38, 8, 0, 0, 18, 0, 14, 0, 0, 40, 26, 0, 44, 0, 0, 34, 12, 0, 0, 76, 0, -8, -8, 0, -50, -16, 0, -14, 0, 0, 0, 6, 0, 0, 36, 0, 12, 18, 0, -19, 30, 0, 10, 0, 0, -72, -60, 0, 0, 26, 0, 12, -16, 0, 12, 82, 0, 0, 0, 0, -12, 4, 0, 0, 4, 0, -16, -72, 0, 8, 3, 0, -66, 0, 0, -48, 0, 0, 0, -84, 0, 4, 0, 0, 32, -36, 0, 32, 0, 0, 0, -16, 0, 0, -60, 0, 22, -76, 0, 0, 0, 0, -20, 0, 0, -6, 42, 0, 0, 68, 0, -6, 2, 0, 20, -18, 0, -8, 0, 0, 8, 36, 0, 0, 12, 0, 18, -18, 0, 0, -20, 0, -60, 0, 0, -8, -2, 0, 0, -20, 0, 64, 72, 0, -48, 0, 0, -20, 0, 0, -16, 44, 0, 0, 4, 0, 42, -44, 0, -50, -36, 0, 8, 0, 0, 2, 40, 0, 0, 38, 0, -16, 12, 0, -42, 0, 0, 76, 0, 0, 8, 96, 0, 0, 4, 0, -6, 6, 0, -8, -36, 0, 18, 0, 0, -64, -16, 0, 0, -12, 0, -28, -18, 0, -28, 24, 0, -68, 0, 0, -26, -48, 0, 0, 0, 0, -36, -8, 0, -60, -20, 0, -6, 0, 0, 16, -24, 0, 0, 18, 0, -56, 40, 0, 0, -30, 0, 0, 0, 0, -52, 6, 0, 0, -22, 0, 14, -8, 0, -36, -34, 0, -20, 0, 0, 86, 8, 0, 0, 78, 0, 100, 14, 0, 0, -16, 0, 4, 0, 0, 0, -70, 0, 0, -20, 0, 4, 24, 0, -4, -46, 0, -18, 0, 0, 30, -48, 0, 0, -28, 0, 32, 18, 0, -60, -22, 0, 56, 0, 0, 36, 40, 0, 0, -40, 0, 0, -32, 0, 88, 0, 0, 36, 0, 0, 48, 32, 0, 0, -72, 0, 74, 20, 0, -16, -72, 0, 70, 0, 0, 26, 66, 0, 0, 66, 0, 8, -30, 0, 8, -20, 0, 9, 0, 0, -22, -18, 0, 0, 68, 0, -30, 0, 0, 36, -4, 0, 44, 0, 0, 42, -72, 0, 0, 0, 0, -24, 54, 0, 40, 48, 0, 8, 0, 0, 0, 33, 0, 0, 68, 0, 8, -60, 0, -2, -8, 0, -34, 0, 0, -70, 2, 0, 0, 20, 0, -12, -40, 0, -28, 34, 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