Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 1368, 'analytic_conductor': 2.730883749127789, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 9, 'char_parity': 1, 'char_values': [342, 9, [191, 325], [9, 5]], 'cm_discs': [], 'conrey_index': 55, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, -12, 60, 46, 12, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504974050459990, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 45705, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 5, 1, 9, 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': '342.2.u.b', 'level': 342, '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, 19], 'level_radical': 114, 'minimal_twist': '114.2.i.c', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\zeta_{18}q^{2}+\\zeta_{18}^{2}q^{4}+(-1+2\\zeta_{18}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '342.2.u', 'trace_display': [0, 0, -3, -3], 'trace_hash': 1735958146407658908, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.051', 'prec': 7}, {'__RealLiteral__': 0, 'data': '6.037', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1.910', 'prec': 14}, {'__RealLiteral__': 0, 'data': '108.747', 'prec': 20}, {'__RealLiteral__': 0, 'data': '87.416', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2992.986', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 7}, 'traces': [6, 0, 0, 0, -3, 0, -3, 3, 0, -6, 0, 0, 9, 12, 0, 0, 3, 0, 0, 12, 0, 15, -27, 0, -15, 6, 0, 15, 3, 0, -15, 0, 0, 6, -12, 0, -6, 0, 0, -6, 15, 0, 3, -15, 0, -6, -15, 0, -24, 3, 0, -9, -6, 0, 27, -6, 0, 12, 27, 0, -15, 3, 0, -3, -12, 0, -3, -6, 0, 12, -3, 0, 12, -24, 0, 3, 42, 0, 27, -3, 0, -15, -3, 0, 12, 24, 0, 0, -42, 0, -42, 27, 0, -18, -24, 0, 18, 0, 0, -6, 36, 0, 3, 0, 0, -27, 9, 0, -15, -18, 0, 15, -12, 0, -24, 3, 0, 18, -27, 0, -9, 3, 0, -3, 3, 0, -6, 0, 0, -21, 66, 0, 66, -24, 0, -3, 60, 0, 0, -21, 0, -24, -3, 0, 9, -12, 0, -12, 39, 0, 48, 0, 0, -6, 3, 0, 21, -27, 0, 6, -84, 0, -6, 9, 0, 21, -6, 0, 9, -30, 0, 18, -24, 0, 39, 3, 0, -3, 15, 0, -15, 15, 0, -27, 3, 0, -33, -15, 0, 48, 0, 0, 39, -27, 0, 0, 3, 0, -63, -21, 0, 3, -15, 0, -18, 15, 0, 12, 51, 0, -21, -6, 0, -30, 54, 0, -12, -21, 0, -12, -21, 0, 33, 12, 0, -9, 54, 0, -12, 39, 0, -3, 33, 0, -3, 18, 0, -18, -48, 0, 18, -6, 0, 12, 39, 0, 42, -30, 0, 33, 21, 0, 57, 24, 0, 0, 30, 0, -57, 21, 0, 51, -21, 0, -84, 69, 0, -3, -57, 0, -18, 3, 0, -9, 36, 0, -3, -27, 0, 12, -48, 0, 12, -42, 0, 36, -69, 0, -27, -15, 0, -15, -45, 0, 0, -3, 0, -39, -90, 0, 51, 9, 0, 0, 18, 0, 33, 42, 0, -3, 9, 0, -81, -3, 0, -15, 30, 0, -9, -3, 0, -42, 24, 0, 6, 27, 0, 12, -48, 0, 3, 6, 0, 24, -21, 0, -18, 54, 0, 12, -30, 0, -48, 24, 0, 33, 6, 0, 27, 51, 0, -12, -9, 0, -42, 21, 0, -6, -12, 0, 0, 36, 0, 30, -42, 0, -27, 6, 0, -30, -147, 0, 9, 33, 0, -21, -30, 0, 96, -24, 0, 75, 102, 0, 69, -39, 0, -12, -3, 0, -15, 24, 0, -51, -60, 0, 60, -48, 0, 6, -33, 0, -60, 18, 0, -3, -48, 0, -66, -21, 0, -15, 117, 0, 42, 0, 0, -69, -78, 0, -99, 12, 0, 6, -12, 0, -15, -33, 0, -6, 69, 0, 6, -6, 0, 66, -6, 0, 36, 45, 0, 39, 84, 0, -15, 12, 0, -3, -24, 0, 12, -9, 0, 30, 84, 0, 132, 24, 0, -48, 27, 0, -21, 6, 0, 3, 0, 0, -207, -18, 0, 9, -3, 0, 21, 36, 0, 12, 15, 0, 3, -51, 0, 33, 87, 0, -27, -12, 0, 15, 30, 0, -30, -27, 0, -3, -39, 0, 72, -33, 0, 27, 75, 0, 48, -54, 0, -6, 39, 0, 45, -6, 0, 36, 39, 0, -48, -60, 0, 12, -6, 0, 87, -6, 0, 21, -42, 0, -27, 36, 0, -24, 18, 0, 18, -51, 0, 57, 9, 0, -3, 27, 0, 6, -51, 0, 21, -30, 0, -102, 48, 0, 39, 81, 0, 9, -51, 0, -36, 24, 0, -27, 3, 0, -3, -3, 0, -24, 30, 0, 66, -3, 0, -3, 12, 0, -78, -33, 0, -3, -36, 0, 105, 15, 0, 45, 3, 0, 3, 18, 0, -12, 9, 0, 9, -6, 0, -27, -21, 0, 69, -51, 0, 18, -126, 0, -132, -21, 0, 3, -21, 0, 63, -33, 0, 21, 24, 0, -48, -27, 0, 39, 117, 0, -66, 42, 0, -36, 21, 0, 30, 18, 0, -57, -60, 0, -9, 15, 0, 3, 0, 0, -18, -84, 0, -6, -78, 0, 27, 12, 0, -27, -15, 0, 93, -3, 0, -42, -21, 0, 102, -72, 0, -6, 84, 0, -33, 39, 0, -87, -9, 0, -51, 45, 0, 9, 60, 0, 60, 15, 0, -45, 156, 0, -96, -33, 0, 3, 69, 0, 21, -15, 0, -42, 63, 0, 33, -39, 0, -42, 42, 0, -96, 0, 0, -36, -138, 0, 39, -18, 0, -21, 33, 0, 39, 6, 0, -60, -15, 0, 144, -33, 0, -15, 3, 0, -90, -30, 0, 33, -15, 0, 51, 66, 0, 27, -93, 0, 42, 36, 0, -6, -3, 0, -105, -33, 0, 3, 105, 0, -48, -9, 0, 30, 3, 0, 24, -69, 0, -3, -114, 0, -36, 42, 0, -102, 27, 0, -27, -96, 0, 21, 78, 0, -39, 45, 0, 30, -51, 0, -45, -75, 0, 9, -54, 0, 21, -3, 0, 21, -21, 0, -66, 39, 0, -63, -54, 0, -6, -21, 0, 15, 48, 0, 42, 39, 0, 54, 42, 0, 6, 39, 0, 45, 3, 0, 78, 60, 0, 54, -123, 0, -36, -3, 0, 126, 81, 0, 57, -42, 0, -9, 15, 0, 30, 0, 0, 51, 42, 0, -15, 99, 0, 15, -54, 0, -69, 27, 0, 3, 51, 0, -6, -48, 0, 18, -105, 0, 81, -27, 0, -15, 0, 0, -51, -72, 0, 6, 42, 0, -114, -21, 0, 135, 0, 0, 93, 63, 0, -45, -48, 0, 6, 6, 0, 21, -6, 0, -72, 123, 0, 90, -72, 0, -48, 3, 0, 18, -39, 0, 48, 78, 0, -6, 51, 0, -60, 33, 0, -12, -54, 0, -48, 24, 0, 12, 72, 0, 6, -12, 0, 27, 60, 0, -57, 45, 0, 6, -3, 0, 18, 60, 0, -96, 57, 0, 21, -45, 0, 9, -57, 0, -99, -9, 0, 21, 57, 0, 114, -60, 0, -18, -48, 0, 9, -12, 0, -18, 75, 0, 12, -6, 0, -18, -51, 0, -156, -18, 0, -84, 12, 0, 99, -3, 0, -3, -9, 0, 93, -39, 0, -30, -39, 0, -141, 3, 0, -18, 72, 0, -96, 3, 0, 39, 15, 0, 111, 27, 0, -3], 'weight': 2, 'weight_parity': 1}