Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 396, 'analytic_conductor': 0.7905189800106758, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [99, 3, [56, 46], [2, 3]], 'cm_discs': [], 'conrey_index': 34, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [4, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202467, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 18002, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '99.2.e.c', 'level': 99, '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, 11], 'level_radical': 33, 'minimal_twist': '99.2.e.c', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(2-2\\zeta_{6})q^{2}+(1-2\\zeta_{6})q^{3}-2\\zeta_{6}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '99.2.e', 'trace_display': [2, 0, 2, -4], 'trace_hash': 395220115977326744, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.987', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.015', 'prec': 7}, {'__RealLiteral__': 0, 'data': '11.434', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.701', 'prec': 10}, {'__RealLiteral__': 0, 'data': '101.040', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 7}, 'traces': [2, 2, 0, -2, 2, -6, -4, 0, -6, 8, -1, -6, -4, 8, 6, 4, 8, -6, -12, 4, 12, 2, 1, 0, 1, -16, 0, 16, 0, 0, -1, -8, 3, 8, -16, 6, 6, -12, -12, 0, 2, 24, -12, 4, -6, 4, 7, -12, -9, -2, 0, -8, 6, 18, -4, 0, 0, 0, -11, -12, 0, -4, 12, -16, 8, 6, 4, -8, 3, -16, 30, 0, -16, 6, -3, 12, -4, 0, 10, 16, 18, 8, -12, 0, 8, 24, 0, 0, 6, -24, 32, 2, -3, -14, -12, -24, -17, -36, 3, -4, -2, -24, 1, 0, 0, 6, -12, 18, 20, -4, 0, 16, 3, 36, -2, 0, 12, -44, -16, 0, -1, 0, 6, -2, 24, -24, 4, 0, 36, -16, -18, 0, 24, 16, -18, 0, 7, 0, -16, 16, -21, 30, 8, -12, 0, -16, -27, -6, -2, -6, 10, 0, -24, -16, 2, 24, -14, -20, 0, 16, -8, 18, 26, 4, 0, 24, 18, 0, -3, 32, 36, 48, -6, 0, 4, 4, -33, 6, -24, -12, -28, 32, 0, 0, 6, 0, -4, -28, -36, -48, -20, 0, 14, 34, -24, -18, -4, -6, -30, 0, 12, 4, 0, -24, -4, 4, -3, -32, 6, 48, 12, -6, 0, -12, -48, 0, 8, 20, 0, 4, -16, -18, -7, 64, -3, 12, 12, 36, -3, 4, -12, 0, 0, 48, 28, -22, -30, 32, 24, 0, -10, -4, 0, 0, 18, 0, 24, 0, 36, 24, 26, -48, -2, 4, 24, -16, 26, 72, -12, -32, 0, -72, -2, 0, 6, -48, 0, 8, -10, 0, 4, 16, 0, -14, 1, -6, 2, -64, 3, 0, 6, -42, 2, -30, -36, 8, -16, 24, -2, 0, 51, 16, 18, 0, 22, 0, -9, -8, 4, 0, -48, -20, 6, -24, 0, -24, 40, -8, 3, -4, -3, 0, -11, -56, 48, -40, -13, -18, 0, -16, 0, -8, -48, -18, -8, 26, 0, 0, 28, 12, -4, 48, -18, 72, -8, 48, -32, 6, 9, 16, 2, 36, 16, 0, 6, 12, 2, 0, -6, 16, 36, 16, -3, 0, 30, -6, 48, -24, 20, 0, 34, -28, -3, -32, -16, 0, 8, 8, -6, 24, -12, 6, -22, 8, 0, 0, 0, -72, -58, -24, 0, 40, -8, 0, 8, 56, 36, 68, -9, -48, 4, 0, -54, -4, 40, -12, 50, -30, -72, -4, -29, 0, -4, 8, 18, 0, -3, 0, -18, 8, -21, 2, 88, -12, -48, -32, -48, -12, 7, 48, -37, 48, -21, 0, 4, -90, 0, 12, 0, -48, 24, 36, 26, 8, 0, -20, -6, 48, 20, 0, 27, -64, 41, -18, 6, 14, -6, 32, -2, 6, -4, 6, -30, -24, 32, 0, 18, -12, 0, 8, 30, 0, 35, 0, -6, 0, -72, 24, -32, 28, -42, 0, -12, -60, -6, 64, -18, 96, 34, -48, -12, 20, 0, -2, -68, -54, -38, 0, 0, -36, -10, -12, 0, 96, 12, -8, -60, 72, 25, -24, 54, 26, 20, 0, -8, -2, 9, -4, -3, 0, 32, -64, 0, 104, -2, 0, 7, 24, 18, 0, -54, 0, -68, -36, 12, 4, -4, 12, 22, 24, 33, -96, 8, -18, -12, 0, 0, -10, 18, 36, 32, 4, 0, -32, 20, -96, -2, -28, 0, 4, 0, 0, 40, -4, 18, -32, -28, 12, 96, -32, 12, -12, 2, 0, -6, 8, -36, 0, 24, 0, 16, -8, 60, -16, 2, 48, -12, -2, 42, 0, -48, 102, -3, 0, -24, 72, 17, 54, 6, -44, 0, 12, -44, -18, -64, -4, 0, -8, -16, 0, -26, -192, -12, -40, 2, 12, 4, 48, 0, 0, -56, 24, 28, 40, 12, 0, 27, 0, 31, -8, -9, -12, -12, 0, 19, 22, -18, -28, 24, 48, -64, 0, 36, 26, 4, -18, -36, 0, -90, 0, -39, 36, -17, 8, 0, -48, 34, 0, 22, -8, 0, -26, -19, -60, 36, 16, 48, 112, 20, 12, -37, 8, -48, 0, 96, -18, 0, 36, 21, 16, 0, 0, -20, -128, 9, 12, 30, 0, -68, 0, -36, 2, 58, -36, 28, 16, -9, 48, -12, 12, 4, 24, 12, 8, 32, 0, 8, 12, 0, 8, -56, 0, -36, 8, 0, 6, -8, 66, -26, 120, -30, 0, 1, 96, 8, 24, 72, 20, -24, -48, -8, 34, 30, 28, 0, 0, -21, 0, -54, -64, -48, 0, -6, -16, -54, 8, -8, -24, -80, 12, 72, 24, -10, 0, 4, -88, 36, 16, 24, -72, 5, -28, 0, 0, 40, 0, -86, -58, 0, 0, 0, -12, -40, 80, -24, -32, -44, -48, 34, -16, 78, 28, 84, -72, -2, 0, 36, 18, -12, 0, -15, 16, 0, -72, 28, 0, -4, 4, 6, 40, -24, 0, 0, 50, 18, 30, 31, -144, 28, -16, -18, -116, 8, -24, -8, 8, 0, 0, -12, 72, 80, 0, 0, 6, 26, -48, 72, -72, -96, 16, -52, -42, 9, 0, 3, 88, -56, -6, 68, -48, -6, 32, -36, 0, -36, -24, 9, 28, 5, 0, 29, 74, -18, 24, -12, 42, 8, 12, 6, -8, 3, -90, 16, 0, 36, 0, 22, -24, 0, 48, 0, 24, 96, 72, -24, 26, 0, -8, 10, 0, 16, 0, 51, -24, -48, 48, 18, -40, 54, -8, 4, 108, -82, -32, -66, -82, 52, 0, -8, 24, -9, 28, -42, 0, -24, 0, -12, -2, 0, 12, 24, -4, -144, 0, -28, -60, 60, -48, 6, 128, 57, 72, -12, -36, 0, -6, 144, 72, 44, 0, 0, -60, -60, 24, 3, 140, -3, 0, 3, -12, 54, 0, -9, -72, -16, 0, -32, -32, 33, -28, 24, 0, -2, -88, 0, -48, -12, 0, 32, 12, 39, 0, -40, -18, -80, 48, 0, -68, 28, -48, 30, -48, 36, 40, -28, 24, -58, 0, 0, -68, 70, -54, 128, -38, 0, 0, 27, -78, -3, -72, -60, -40, -33, 0, -4, 0, 84, 48, -24, 12, -16, -8, 12, 120, -30, 0, 52, 100, 0, 0], 'weight': 2, 'weight_parity': 1}