Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 2088, 'analytic_conductor': 4.168190985510836, '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': [522, 1, [407, 379], [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]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562000906, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 61898, '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': '522.2.a.m', 'level': 522, '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^{4}+3q^{5}+5q^{7}+q^{8}+3q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/522/m'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '522.2.a', 'trace_display': [1, 0, 3, 5], 'trace_hash': 946983440544272379, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.022', 'prec': 7}, {'__RealLiteral__': 0, 'data': '0.980', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.051', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.955', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.079', 'prec': 7}, {'__RealLiteral__': 0, 'data': '4.848', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 7}, 'traces': [1, 1, 0, 1, 3, 0, 5, 1, 0, 3, -6, 0, -4, 5, 0, 1, -3, 0, -1, 3, 0, -6, 0, 0, 4, -4, 0, 5, 1, 0, -4, 1, 0, -3, 15, 0, -1, -1, 0, 3, 9, 0, -7, -6, 0, 0, 3, 0, 18, 4, 0, -4, 6, 0, -18, 5, 0, 1, -3, 0, -10, -4, 0, 1, -12, 0, -4, -3, 0, 15, -12, 0, 2, -1, 0, -1, -30, 0, 14, 3, 0, 9, 0, 0, -9, -7, 0, -6, 6, 0, -20, 0, 0, 3, -3, 0, 8, 18, 0, 4, 6, 0, -13, -4, 0, 6, 9, 0, 8, -18, 0, 5, 3, 0, 0, 1, 0, -3, -15, 0, 25, -10, 0, -4, -3, 0, -22, 1, 0, -12, -12, 0, -5, -4, 0, -3, 6, 0, 14, 15, 0, -12, 24, 0, 3, 2, 0, -1, -3, 0, 17, -1, 0, -30, -12, 0, -13, 14, 0, 3, 0, 0, 5, 9, 0, 0, -6, 0, 3, -9, 0, -7, 21, 0, 20, -6, 0, 6, 0, 0, 8, -20, 0, 0, -3, 0, 18, 3, 0, -3, 21, 0, -4, 8, 0, 18, -9, 0, -16, 4, 0, 6, 5, 0, 27, -13, 0, -4, 6, 0, -25, 6, 0, 9, -21, 0, -20, 8, 0, -18, 12, 0, -16, 5, 0, 3, -3, 0, -7, 0, 0, 1, -24, 0, 9, -3, 0, -15, -6, 0, 17, 25, 0, -10, 54, 0, 4, -4, 0, -3, 0, 0, 0, -22, 0, 1, 0, 0, -5, -12, 0, -12, 3, 0, 18, -5, 0, -4, -6, 0, 20, -3, 0, 6, -24, 0, 14, 14, 0, 15, 6, 0, 14, -12, 0, 24, 45, 0, -8, 3, 0, 2, 6, 0, -9, -1, 0, -3, 0, 0, -35, 17, 0, -1, -30, 0, 20, -30, 0, -12, -21, 0, 11, -13, 0, 14, 0, 0, -6, 3, 0, 0, 3, 0, -16, 5, 0, 9, 15, 0, 17, 0, 0, -6, -12, 0, -10, 3, 0, -9, 24, 0, 55, -7, 0, 21, 3, 0, 2, 20, 0, -6, 30, 0, -36, 6, 0, 0, -9, 0, -18, 8, 0, -20, 6, 0, 26, 0, 0, -3, 30, 0, 20, 18, 0, 3, -4, 0, -28, -3, 0, 21, 6, 0, -90, -4, 0, 8, 12, 0, 0, 18, 0, -9, 42, 0, 26, -16, 0, 4, -30, 0, 16, 6, 0, 5, 6, 0, 8, 27, 0, -13, -15, 0, 0, -4, 0, 6, -21, 0, 14, -25, 0, 6, -12, 0, -50, 9, 0, -21, -36, 0, 26, -20, 0, 8, 0, 0, -1, -18, 0, 12, -12, 0, 18, -16, 0, 5, -15, 0, -54, 3, 0, -3, -60, 0, 11, -7, 0, 0, -12, 0, -16, 1, 0, -24, 12, 0, -20, 9, 0, -3, 42, 0, -4, -15, 0, -6, -24, 0, 4, 17, 0, 25, 24, 0, 23, -10, 0, 54, 30, 0, -3, 4, 0, -4, -60, 0, -22, -3, 0, 0, 33, 0, 18, 0, 0, -22, 21, 0, 10, 1, 0, 0, -39, 0, -18, -5, 0, -12, -6, 0, 2, -12, 0, 3, 12, 0, -23, 18, 0, -5, -36, 0, 27, -4, 0, -6, -108, 0, -1, 20, 0, -3, 24, 0, 26, 6, 0, -24, -1, 0, 70, 14, 0, 14, -45, 0, 28, 15, 0, 6, 30, 0, 9, 14, 0, -12, -33, 0, -22, 24, 0, 45, 0, 0, -16, -8, 0, 3, 0, 0, -36, 2, 0, 6, -21, 0, 4, -9, 0, -1, 24, 0, -45, -3, 0, 0, 36, 0, 32, -35, 0, 17, 75, 0, 8, -1, 0, -30, -12, 0, -34, 20, 0, -30, -33, 0, 17, -12, 0, -21, 30, 0, -29, 11, 0, -13, 3, 0, -13, 14, 0, 0, -66, 0, -72, -6, 0, 3, 27, 0, -40, 0, 0, 3, 6, 0, 18, -16, 0, 5, -42, 0, -36, 9, 0, 15, 0, 0, 32, 17, 0, 0, -15, 0, 0, -6, 0, -12, 60, 0, -13, -10, 0, 3, 18, 0, 40, -9, 0, 24, 9, 0, 18, 55, 0, -7, -24, 0, -52, 21, 0, 3, 42, 0, -27, 2, 0, 20, -45, 0, 1, -6, 0, 30, 30, 0, 14, -36, 0, 6, 0, 0, 72, 0, 0, -9, 48, 0, -65, -18, 0, 8, 4, 0, -10, -20, 0, 6, 21, 0, 50, 26, 0, 0, 24, 0, 8, -3, 0, 30, 21, 0, -9, 20, 0, 18, 45, 0, -10, 3, 0, -4, 51, 0, -7, -28, 0, -3, 36, 0, 40, 21, 0, 6, 12, 0, -22, -90, 0, -4, 6, 0, -16, 8, 0, 12, -9, 0, 72, 0, 0, 18, -39, 0, 32, -9, 0, 42, 15, 0, 40, 26, 0, -16, -12, 0, -9, 4, 0, -30, -12, 0, 0, 16, 0, 6, 18, 0, 20, 5, 0, 6, 15, 0, 7, 8, 0, 27, -54, 0, 26, -13, 0, -15, 12, 0, -49, 0, 0, -4, -54, 0, -18, 6, 0, -21, 3, 0, 1, 14, 0, -25, 9, 0, 125, 6, 0, -12, 0, 0, -19, -50, 0, 9, 18, 0, 5, -21, 0, -36, 36, 0, 63, 26, 0, -20, -84, 0, 16, 8, 0, 0, -15, 0, -16, -1, 0, -18, 42, 0, 56, 12, 0, -12, -48, 0, -110, 18, 0, -16, -3, 0, 0, 5, 0, -15, -4, 0, -18, -54, 0, 3, 24, 0, -28, -3, 0, -60, 24, 0, 0, 11, 0, -7, -60, 0, 29, 0, 0, -12, 48, 0, -4, -16, 0, 1, -18, 0, -18, -24, 0, 12, 54, 0, -49, -20, 0, 9, -6, 0, 0, -3, 0, 42, 12, 0, -8, -4, 0, -15, -36, 0, 63, -6, 0, -24, 30, 0, -15, 4, 0, 17, -12, 0, -4, 25, 0, 24, -18, 0, 70, 23, 0, -10, 12, 0, -36, 54, 0, 30, 24, 0, -27, -3, 0, 4, 0, 0, 47, -4, 0, -60, -48, 0, -19, -22, 0, -3], 'weight': 2, 'weight_parity': 1}