Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 1452, 'analytic_conductor': 2.898569593372478, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 5, 'char_parity': 1, 'char_values': [363, 5, [122, 244], [5, 4]], 'cm_discs': [], 'conrey_index': 124, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -2, 4, -3, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532671557796203, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 47674, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 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': False, 'label': '363.2.e.j', 'level': 363, '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': '33.2.e.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{10}^{3})q^{2}+\\zeta_{10}^{2}q^{3}+(1-\\zeta_{10}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '363.2.e', 'trace_display': [3, -1, -1, 3], 'trace_hash': 114461562733234280, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.862', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '46.748', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '1030.499', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 4}, 'traces': [4, 3, -1, 3, -1, 3, 3, 5, -1, -2, 0, -2, 9, 6, 4, 9, -2, -2, 10, 3, -12, 0, -4, -5, -6, 8, -1, 6, 10, 3, 8, 18, 0, -4, 3, 3, -3, 0, 9, -10, -23, -9, -16, 0, -6, -13, -3, -6, -2, -12, 3, -7, 6, -2, 0, 0, -5, 0, -20, 3, -3, 1, 3, -7, 14, 0, 2, 1, -9, -9, -27, -5, -6, 4, 9, 20, 0, 18, -5, 9, -1, -11, -21, -9, -7, -7, 0, 0, 20, -2, 3, 7, 8, -1, -25, -7, -33, -4, 0, -12, -3, 1, 6, 25, 3, 17, -7, -2, 0, 0, -8, -27, -9, 5, -9, 0, -1, -5, 6, 10, 0, -6, 17, 6, -11, -9, 18, 10, 9, 8, 42, 0, 30, 24, 4, -5, 7, -13, -5, 21, 2, -54, 0, -6, 10, -2, -2, 4, 15, 3, 2, 5, -2, 0, -12, 8, 12, 10, 6, -7, 27, -2, 36, -46, 0, -42, -37, -15, 32, 1, -5, -17, 14, 10, 18, 0, 10, 25, 5, -7, 3, 51, 12, 5, -3, 16, 0, -6, 3, -15, 13, -7, 14, -1, -6, -4, -102, 0, -40, 15, 22, -6, 30, 1, 52, 12, 11, 54, 0, 6, 32, -28, 18, 1, 9, 5, 21, 0, 4, 0, -2, -11, -9, 21, 9, -33, -47, -15, -10, -18, 0, 40, -1, 8, 7, -5, -5, -3, 15, -6, 12, 0, 4, 9, 8, -6, 15, 10, 9, -12, -32, 6, 0, 36, 3, 19, 2, -7, -21, 13, 10, 39, 34, 0, 56, 0, 5, -21, -30, -2, -48, 3, -27, 14, 0, -18, -2, 5, -7, -15, -8, -1, 14, -9, 30, 0, -36, -2, 13, -10, -33, -2, -11, -4, -20, -20, 0, 30, -59, 3, -27, -6, -3, 15, -33, 1, 38, 0, -24, 1, 3, -15, 61, 24, -12, -25, -53, 12, 0, -2, 3, -6, -15, -2, -51, -3, 0, 5, -6, 0, 8, -12, -3, -9, 22, -27, 8, -16, 21, -14, 0, -10, -15, -25, 16, -52, 8, -10, -35, 36, -16, 0, -24, -10, -27, 5, 6, 5, -10, -10, 39, 6, 0, 6, -6, 9, -18, -39, 17, -1, -33, 1, -36, 0, 24, 0, -30, 6, -45, -15, -12, 6, 31, -50, 0, 28, -1, -31, -45, 8, 2, 10, -3, -79, 50, 0, -128, -15, -30, 9, 8, 24, 23, 9, -1, 60, 0, 10, -40, 29, -13, 12, -45, 2, -6, 28, -10, 0, -10, -9, 58, -11, 2, 40, 3, -9, 9, -14, 0, 18, 22, -6, 6, 27, 10, 0, 30, -2, -40, 0, 8, -9, 66, -1, 5, -33, 15, -9, 10, 18, 0, -18, 2, -14, 18, 5, 48, -20, 3, 7, 62, 0, -14, 30, 13, 33, 17, 8, -66, 4, -18, -70, 0, -10, 0, 12, 11, 45, -10, 23, 17, -36, 12, 0, 62, 3, -3, -30, 36, -4, 57, 29, 0, 30, 0, 48, 81, -12, 30, -12, -37, -9, 64, 15, -18, 0, 32, 6, -25, -4, -12, 3, 10, 39, 6, 18, 0, -42, 19, 20, 48, 10, 64, 24, 18, 8, -14, 0, -8, 17, -20, 45, -73, 25, 18, -20, -5, -60, 0, 8, -13, -21, 23, -9, 0, -24, 23, -6, -18, 0, 60, 15, -45, 41, -3, 5, 8, 1, -11, 18, 0, -16, 49, 4, 6, 58, 3, 0, -60, 5, -18, 0, -12, 33, 6, 3, -18, -49, -31, 30, 63, -66, 0, -20, -1, 18, 77, -4, -5, 25, 23, -33, 14, 0, -24, 30, 25, -28, 30, 15, 67, -24, -23, 4, 0, -6, -12, 55, -30, 9, -8, -4, 54, 51, -58, 0, 132, -18, -5, -19, 11, 31, -15, 24, -56, 122, 0, 24, 4, -9, -67, 15, 32, -6, 18, 17, -32, 0, 18, 10, -62, -4, 6, -6, -26, -10, 12, 0, 0, -102, -24, 42, -69, 0, -3, -18, -6, 3, -20, 0, -62, -49, -7, 15, -30, -11, 10, -19, 21, 44, 0, -54, -31, -14, -6, -16, 28, 12, -96, -5, 28, 0, -84, 5, 32, -30, -10, -21, 1, 7, 48, 28, 0, 16, -5, -10, 29, -75, -1, -9, -48, -17, -10, 0, -8, -8, 9, 25, 20, -9, 15, 15, -28, 12, 0, 10, -30, -30, -15, -6, -18, 3, -48, 26, -60, 0, 142, -75, -1, 8, 8, 9, -46, 9, -2, 2, 0, 34, -25, -1, -20, 69, -1, 5, -60, -57, 24, 0, -24, 13, -52, -3, -32, -70, -8, -9, 27, -90, 0, -70, 27, 6, 0, 6, 3, -18, 50, -26, 70, 0, -78, -17, 81, 8, -27, -35, 9, -15, -35, -12, 0, 4, -10, -12, -18, 39, -32, -74, -26, 10, 72, 0, 42, -81, -39, -45, -18, 0, 4, -27, -15, 16, 0, 44, 27, -19, -10, -15, 35, 3, -23, 0, 42, 0, -84, 3, -60, -40, -27, 29, 57, -6, 21, 0, 0, -90, -12, 7, -55, -12, -2, -17, 6, -15, 38, 0, -2, -50, 45, 30, 9, -24, 2, 54, 32, 4, 0, 36, -36, 6, 13, -9, 19, -27, -25, -5, -12, 0, 100, -17, 69, -41, 46, -2, -61, 12, 18, 42, 0, 20, 117, 0, 32, -20, 3, 8, 23, -45, -36, 0, 78, 6, 6, 6, -20, -18, 3, -5, -54, 10, 0, -18, -5, 30, -10, -45, -59, 40, 10, 3, 22, 0, 48, 45, -72, 4, -33, -14, -3, 21, -47, -30, 0, 96, 12, 30, 9, 1, -105, -30, 13, 34, -162, 0, 42, 17, 6, 50, -25, 1, 20, -67, -17, 34, 0, -20, 63, 3, -59, 4, 82, -6, -47, -30, 18, 0, 42, 10, 14, 15, -53, 0, 24, 17, 13, 30, 0, -20, -21, -2, 27, 69, 3, 54, 79, 39, 18, 0, 20, -1, -82, 3, -30, 109, 24, 27, 77, 72, 0, 16, 0, -1, 66, 5, 23, -10, 9, -5, -24, 0, 18, 31, -57, 27, 25, -12, -42, 15, 7, -20], 'weight': 2, 'weight_parity': 1}