Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 3808, 'analytic_conductor': 7.601758272425893, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1], [17, 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': [952, 1, [239, 477, 409, 785], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 229, 'field_disc_factorization': [[229, 1]], 'field_poly': [-1, -4, 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, [-4, -1, 3, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666872, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 95652, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '952.2.a.d', 'level': 952, '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, 17], 'level_radical': 238, 'minimal_twist': '952.2.a.d', 'nf_label': '3.3.229.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}-\\beta _{2}q^{5}-q^{7}+(1-2\\beta _{1}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '952.2.a', 'trace_display': [0, -3, 1, -3], 'trace_hash': 1382711989625315474, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.101', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '25.286', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '296.788', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 7}, 'traces': [3, 0, -3, 0, 1, 0, -3, 0, 2, 0, -6, 0, 4, 0, -4, 0, -3, 0, -2, 0, 3, 0, -6, 0, -4, 0, -6, 0, -4, 0, -13, 0, 6, 0, -1, 0, 0, 0, -14, 0, -5, 0, -5, 0, -4, 0, -6, 0, 3, 0, 3, 0, -9, 0, -2, 0, -8, 0, -14, 0, 9, 0, -2, 0, -14, 0, -13, 0, 22, 0, -24, 0, -7, 0, 6, 0, 6, 0, -6, 0, -1, 0, 0, 0, -1, 0, -18, 0, 8, 0, -4, 0, 0, 0, -16, 0, 5, 0, -4, 0, 8, 0, 10, 0, 4, 0, 2, 0, 16, 0, 32, 0, -28, 0, -8, 0, 38, 0, 3, 0, -21, 0, 1, 0, 12, 0, -27, 0, -13, 0, 16, 0, 2, 0, 27, 0, 9, 0, 3, 0, 22, 0, -8, 0, 26, 0, -3, 0, -7, 0, 3, 0, -2, 0, -9, 0, 4, 0, 34, 0, 6, 0, 22, 0, 8, 0, 9, 0, 17, 0, 34, 0, 21, 0, 4, 0, 4, 0, 25, 0, 14, 0, -17, 0, -12, 0, 6, 0, 6, 0, 15, 0, 2, 0, 20, 0, -36, 0, 13, 0, 30, 0, 4, 0, 38, 0, -30, 0, 4, 0, -20, 0, -8, 0, -14, 0, 13, 0, 43, 0, -4, 0, 20, 0, -25, 0, 7, 0, 36, 0, -6, 0, -46, 0, -8, 0, 54, 0, 3, 0, 1, 0, 14, 0, 1, 0, 48, 0, 14, 0, -2, 0, 12, 0, 4, 0, -36, 0, 0, 0, 14, 0, -56, 0, -41, 0, 18, 0, -14, 0, 30, 0, 14, 0, 8, 0, 38, 0, 22, 0, -39, 0, -59, 0, 28, 0, 5, 0, 3, 0, -16, 0, -42, 0, -20, 0, 12, 0, -28, 0, 5, 0, 36, 0, 6, 0, 36, 0, -6, 0, -15, 0, -15, 0, 4, 0, -30, 0, 8, 0, -22, 0, 2, 0, -46, 0, -26, 0, 6, 0, 17, 0, -52, 0, 37, 0, -30, 0, 22, 0, 26, 0, -3, 0, -2, 0, -38, 0, 50, 0, -64, 0, -46, 0, 4, 0, -3, 0, -3, 0, -5, 0, 21, 0, -54, 0, -15, 0, -35, 0, 9, 0, 7, 0, 5, 0, -16, 0, 6, 0, 50, 0, 16, 0, 2, 0, 45, 0, 19, 0, 6, 0, -92, 0, -20, 0, 37, 0, 8, 0, -78, 0, 18, 0, -8, 0, 0, 0, 44, 0, -51, 0, 14, 0, 52, 0, 4, 0, -7, 0, 47, 0, -30, 0, 4, 0, -9, 0, 28, 0, 10, 0, -12, 0, 0, 0, -16, 0, 7, 0, 2, 0, 20, 0, 12, 0, 73, 0, -66, 0, 10, 0, -9, 0, 14, 0, -3, 0, 6, 0, -26, 0, -73, 0, 35, 0, -40, 0, 13, 0, 48, 0, 10, 0, -38, 0, -18, 0, 3, 0, -40, 0, -22, 0, -61, 0, -14, 0, -32, 0, 19, 0, 4, 0, 8, 0, 24, 0, 48, 0, -65, 0, -37, 0, -52, 0, -101, 0, 48, 0, 7, 0, -52, 0, 40, 0, 12, 0, 3, 0, 5, 0, -16, 0, -6, 0, 13, 0, -25, 0, 26, 0, -78, 0, -30, 0, -59, 0, -6, 0, -26, 0, 26, 0, -10, 0, 18, 0, 19, 0, -8, 0, 6, 0, -20, 0, 18, 0, 54, 0, -6, 0, -30, 0, 12, 0, 1, 0, -23, 0, -54, 0, -70, 0, 12, 0, 14, 0, 42, 0, 0, 0, 18, 0, 0, 0, 28, 0, 44, 0, 4, 0, -38, 0, 1, 0, -81, 0, -7, 0, 22, 0, -84, 0, -7, 0, 17, 0, 18, 0, -28, 0, 31, 0, -29, 0, 30, 0, -24, 0, 10, 0, -8, 0, -11, 0, 16, 0, 0, 0, 19, 0, -10, 0, 11, 0, 4, 0, 36, 0, -48, 0, -77, 0, 37, 0, 48, 0, 28, 0, 0, 0, -56, 0, 72, 0, -25, 0, 95, 0, 16, 0, 14, 0, 16, 0, -36, 0, 24, 0, -18, 0, -64, 0, 65, 0, 18, 0, -5, 0, 84, 0, -42, 0, 76, 0, -38, 0, 14, 0, -83, 0, 4, 0, 27, 0, 5, 0, 58, 0, 10, 0, -40, 0, -2, 0, -8, 0, -24, 0, -82, 0, 0, 0, 28, 0, 55, 0, 49, 0, -10, 0, 28, 0, 38, 0, -10, 0, 2, 0, 5, 0, -46, 0, -4, 0, 26, 0, 1, 0, -112, 0, 10, 0, -8, 0, -80, 0, -2, 0, 24, 0, 56, 0, -54, 0, 59, 0, -44, 0, 0, 0, -16, 0, 4, 0, 32, 0, 18, 0, 84, 0, -26, 0, -5, 0, -32, 0, -68, 0, 48, 0, 68, 0, 20, 0, -72, 0, 76, 0, 28, 0, 22, 0, 25, 0, -2, 0, 6, 0, -56, 0, 14, 0, 8, 0, 34, 0, 22, 0, -13, 0, -78, 0, -8, 0, 64, 0, -38, 0, -4, 0, -74, 0, -12, 0, -4, 0, 96, 0, -42, 0, -3, 0, 24, 0, -1, 0, 36, 0, 17, 0, 78, 0, -1, 0, 21, 0, 72, 0, 64, 0, 66, 0, 8, 0, 107, 0, -68, 0, -1, 0, 1, 0, -2, 0, -3, 0, 12, 0, -134, 0, 88, 0, -12, 0, 8, 0, 24, 0, 75, 0, 93, 0, 44, 0, -69, 0, 27, 0, 2, 0, -16, 0, 2, 0, 100, 0, 34, 0, 9, 0, 13, 0, 66, 0, 6, 0, -28, 0, -4, 0, 0, 0, -7, 0, -16, 0, 49, 0, 12, 0, 8, 0, 8, 0, -38, 0, 31, 0, -2, 0, -24, 0, 2, 0, 82, 0, 56, 0, 109, 0, 2, 0, -27, 0, -38, 0, 22, 0, -48, 0, 11, 0, -3, 0, 36, 0, -9, 0, -6, 0, 72, 0, -54, 0, 35, 0, 8, 0, 22, 0, -3, 0, 104, 0, 17, 0, -16, 0, 46, 0, -73, 0, 0, 0, -22, 0, -26, 0, -64, 0, -14, 0, 68, 0, 25, 0, -4, 0], 'weight': 2, 'weight_parity': 1}