Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 616, 'analytic_conductor': 1.229696191127718, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, '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': [154, 3, [45, 57], [1, 3]], 'cm_discs': [], 'conrey_index': 23, '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': [[3, [1, 1, 1]], [13, [1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202522, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 25192, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 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': '154.2.e.c', 'level': 154, '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': True, 'level_primes': [2, 7, 11], 'level_radical': 154, 'minimal_twist': '154.2.e.c', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{3}+(-1+\\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': '154.2.e', 'trace_display': [1, -1, 0, -1], 'trace_hash': 1268366103939188837, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.820', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.093', 'prec': 7}, {'__RealLiteral__': 0, 'data': '9.712', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.097', 'prec': 7}, {'__RealLiteral__': 0, 'data': '79.019', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 7}, 'traces': [2, 1, -1, -1, 0, -2, -1, -2, 2, 0, 1, -1, -2, -5, 0, -1, 6, -2, -2, 0, -4, 2, 6, 1, 5, -1, -10, -4, 18, 0, 4, 1, 1, 12, 0, -4, -2, 2, 1, 0, -12, 1, -8, 1, 0, -6, 6, 2, -13, 10, 6, 1, 0, -5, 0, 1, 4, 9, 3, 0, -11, 8, -10, 2, 0, -1, -11, 6, -12, 0, 0, -2, -2, 2, 5, 4, 4, 2, -5, 0, -1, -6, -12, 5, 0, -4, -9, -1, 18, 0, 1, -12, 4, -6, 0, 1, -26, -2, 4, 5, 15, -6, 16, 2, 0, 0, -12, 5, -2, 0, 4, 5, 18, 2, 0, -9, -2, 6, 24, 0, -1, 11, 6, 4, 0, -8, -14, 1, 4, 0, -18, -2, 10, -22, 0, -6, 9, -6, 16, 0, -12, 0, -1, 2, 0, -4, 11, 4, -6, -5, 19, 2, 24, -1, 0, 1, 4, 5, 0, 0, -30, -2, -17, 6, 0, -6, 6, 4, -24, 0, 4, 4, 21, -18, 20, -2, 3, -18, 15, 0, 4, 5, 22, -6, 0, -4, -6, -12, 5, 0, -6, -1, -14, -13, 0, 11, -6, 2, -14, -5, -11, 30, -9, -12, 0, -16, -12, 1, -4, 0, -20, 0, 0, 12, 0, 10, 16, -4, -2, 0, -6, 2, 52, 4, 20, 9, -18, -2, 16, 0, -5, -18, 6, 2, 0, 3, 10, -6, -18, 0, -26, 1, -16, 22, 0, 12, 2, -4, 6, 0, -24, 2, 12, -7, 0, -1, -3, 8, 10, 0, 18, 18, 9, -1, 0, 8, -36, -11, -12, 0, -29, -12, 4, 18, -5, 6, -29, 8, 16, 0, 36, -6, 10, 0, 0, -2, 6, 4, -19, 0, 13, -2, -60, 13, 0, 2, -5, 6, -6, -10, 4, 38, 15, -2, 0, 12, 40, -5, -32, 0, -24, -1, -17, 8, 0, 10, -12, 0, 9, 0, 24, -24, -24, -1, -5, 17, -2, 12, -30, 0, -35, 6, 4, 3, 0, -1, 28, -12, -9, 0, -4, 8, 20, 8, 0, -21, 0, -9, 4, -5, 10, -1, 18, -3, 0, -36, -30, 30, 3, 0, 15, 2, 2, 4, 0, 11, 10, 6, -12, 0, 0, -8, 31, 6, 0, -6, -18, 25, 46, 0, 7, 6, 36, -2, 0, -28, -8, 13, -12, 0, 72, 13, 36, -3, 0, -2, 22, -28, -2, -10, 33, 11, -4, 15, 0, -45, -4, -6, 4, 0, 9, -32, 12, -24, 0, -1, -8, -2, -24, 0, -56, -10, -12, 0, -30, 0, 55, 24, -1, 0, 3, 5, -68, -4, 0, -2, 12, 2, 1, 0, -4, -12, -12, -2, 0, 26, 12, -1, -36, 10, -6, -9, 19, -36, 0, -4, 22, -16, -30, 0, 42, -4, -44, -9, 0, -6, -12, 4, -44, 0, 4, -3, -4, 5, -20, -30, 0, -9, -15, 0, 2, -52, 6, 2, 0, 16, -20, 11, 34, 0, 84, 6, 54, -2, 0, -8, 0, 12, 40, 0, -3, -12, -66, 10, 0, 6, 12, 7, 6, 0, -8, -2, 10, 3, 0, 4, 12, 8, -42, 0, 42, -18, 16, 36, -25, 18, -24, 1, -13, 0, 12, -2, 12, -18, 0, 11, 15, -24, -11, 0, 25, 29, -2, -6, 0, -1, -56, 9, 22, 5, -18, 12, 25, -58, 0, -8, 18, 8, 8, 0, 12, 18, 18, 6, 0, 20, -4, 0, 36, 0, -32, -1, 12, 30, 60, 2, 7, 19, -14, 0, 6, 26, 0, 2, 0, -30, 18, 2, -16, 0, 3, -2, -36, -10, 0, 12, -14, 6, 0, -5, 4, 20, -44, 19, 0, -15, 40, -4, -36, 0, -6, -12, 10, 20, 0, -4, 42, -16, -20, 0, -30, -48, -90, -2, -25, 17, 2, 4, -24, 0, 40, 5, 10, 12, 0, 0, 13, 18, 0, 0, -9, 12, 10, 6, 0, -12, 12, 1, -3, -10, -20, 34, -18, 2, 0, 6, -8, -24, 0, 0, -14, 35, -6, 12, 0, 8, 54, -3, -26, 0, -22, -5, -56, 14, -25, 12, -6, -18, 13, 0, -18, 4, 21, 4, 0, 37, -32, 4, 0, 0, -11, -42, -2, 0, 0, 9, -36, 2, -12, -25, 78, 5, -4, 1, 0, 36, 60, -6, -26, 0, 10, -18, 48, -24, 0, 15, 9, -3, 42, 0, -80, 30, -26, -2, 45, 1, 28, -1, 26, 0, -24, -11, 25, 20, 0, 12, 11, 12, -50, 0, -4, 0, -72, -4, 0, -31, -12, 12, 60, 0, 4, 6, 12, -9, 0, 20, -92, 23, -6, 0, 18, 14, -8, 12, 0, -36, -3, -1, -44, 0, 6, -14, -24, 8, -20, 26, -2, -24, 12, 0, 0, 36, -90, 2, 0, 18, -14, 3, 9, 0, -9, -4, 11, -22, 0, -14, -36, -10, 72, -5, -36, -33, 2, 22, 0, -8, -12, -15, 48, 0, 40, -36, 58, -2, 0, 6, 8, 8, 10, 0, 15, -9, 10, -16, 10, -3, 60, -12, 52, 0, -29, -2, -66, -16, 0, 2, -20, -12, 12, 0, 104, -28, -18, 10, 0, -24, 5, 0, 10, 30, 12, 0, -92, 44, 0, 12, -36, 1, 37, 0, 24, 6, -30, -5, 0, -34, 38, -20, -10, 0, 11, 2, -26, 24, 0, 4, -17, -1, 30, 0, 66, 22, 58, -6, 0, 12, -3, -4, 7, 0, 1, -26, 12, 6, 0, -5, 12, -18, 36, -10, 0, -12, 16, -18, 0, -19, 28, -18, 60, 0, -12, -2, -6, -22, 0, -32, 90, -60, -32, 0, -20, 21, 0, 1, -20, -22, -32, 9, -39, 0, 4, -12, -24, 12, 0, 2, 16, 11, 34, 0, -15, -4, -36, -6, 0, -8, -24, -5, 2, -10, 24, -24, -72, 0, 0, 9, 9, -30, 36, 0, 15, -2, 24, -26, 0, 30, -80, 1, 12, 0, -15, 32, -8, -40, -5, -11, 18, 17, 36, 0, -8, 42, 6, -6, 0, 108, 6, -4, -24, 0, 40, -4, 70, 0, 0, 6, 34, -40, 10, 0], 'weight': 2, 'weight_parity': 1}