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, [81, 162, 162, 90, 36, 9, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1374423089494, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 45704, '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.a', '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.d', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q-\\zeta_{18}q^{2}+\\zeta_{18}^{2}q^{4}+(-1+\\zeta_{18}^{2}+\\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, -9, 3], 'trace_hash': 2006638546296018732, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 7}, {'__RealLiteral__': 0, 'data': '5.924', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1.519', 'prec': 14}, {'__RealLiteral__': 0, 'data': '100.971', 'prec': 20}, {'__RealLiteral__': 0, 'data': '71.816', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2645.039', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 7}, 'traces': [6, 0, 0, 0, -9, 0, 3, -3, 0, 0, 0, 0, -3, 6, 0, 0, 3, 0, -18, 0, 0, -3, 21, 0, 9, 6, 0, -3, 3, 0, 9, 0, 0, 12, -18, 0, -18, 6, 0, 0, 15, 0, 3, -3, 0, 6, 9, 0, 12, -3, 0, -3, -12, 0, -9, -6, 0, 12, -27, 0, 3, -9, 0, -3, 0, 0, 21, 6, 0, -18, -39, 0, 36, -24, 0, -9, -6, 0, -45, -9, 0, 15, 27, 0, -18, 12, 0, 0, 30, 0, -12, 3, 0, -6, 0, 0, -6, 12, 0, -18, 0, 0, 3, 6, 0, 3, 21, 0, -9, 0, 0, -3, 24, 0, -36, 3, 0, 0, -39, 0, 27, 33, 0, -9, -27, 0, 6, 0, 0, -9, 24, 0, -30, -24, 0, -15, 48, 0, -6, 9, 0, 24, -15, 0, 45, 36, 0, 30, -3, 0, 48, 0, 0, 0, -27, 0, -3, -45, 0, 0, 6, 0, 48, -9, 0, 3, -30, 0, -27, -54, 0, 30, -24, 0, 33, -3, 0, 15, -39, 0, 51, -3, 0, 3, 63, 0, -9, 9, 0, -36, 0, 0, -9, 3, 0, 12, 3, 0, -27, 9, 0, -3, 39, 0, -36, 39, 0, -12, -21, 0, -9, -30, 0, -30, 54, 0, 0, 9, 0, 0, -15, 0, 21, 6, 0, -15, 18, 0, -84, 27, 0, 21, 3, 0, 27, 12, 0, 6, -12, 0, 54, 6, 0, -6, 9, 0, -12, -18, 0, -9, -15, 0, 9, -24, 0, 0, 66, 0, -39, -9, 0, -21, 39, 0, -36, -15, 0, 21, -51, 0, -48, -15, 0, 3, -12, 0, 33, 15, 0, 18, -18, 0, -48, 30, 0, 12, -9, 0, -87, 27, 0, -3, -3, 0, 54, 9, 0, -3, -60, 0, 3, -57, 0, -12, -18, 0, -21, 0, 0, -27, -27, 0, 99, -21, 0, 15, -24, 0, -3, 9, 0, 54, -66, 0, -30, 9, 0, 6, 30, 0, 27, 12, 0, -12, -9, 0, 18, 18, 0, -18, -18, 0, 36, 12, 0, 3, 12, 0, -15, 21, 0, 6, 81, 0, 108, 3, 0, -24, 24, 0, 0, 24, 0, 6, -72, 0, -21, 6, 0, 18, 3, 0, 39, -9, 0, 9, 18, 0, -36, 0, 0, -39, -6, 0, 9, -9, 0, -12, -57, 0, -27, 12, 0, -9, 90, 0, 54, -60, 0, 6, -39, 0, 18, -36, 0, -15, 24, 0, -66, -9, 0, 39, 3, 0, -72, 6, 0, 9, 42, 0, -99, 18, 0, -30, 42, 0, 33, 33, 0, 18, -39, 0, 90, -18, 0, -78, -60, 0, 6, 9, 0, -15, 42, 0, -27, -6, 0, 3, 36, 0, -30, -15, 0, -24, 36, 0, -84, 36, 0, 36, 27, 0, -9, -6, 0, 21, 78, 0, 3, 36, 0, 27, 33, 0, -9, 36, 0, 60, -45, 0, 15, 15, 0, -3, 9, 0, -39, -6, 0, 9, -24, 0, 114, -21, 0, -9, -69, 0, -18, -9, 0, 39, 27, 0, -36, 24, 0, -30, -45, 0, -3, 6, 0, -24, 63, 0, 12, -54, 0, 0, -12, 0, -15, 6, 0, 39, 18, 0, 21, -72, 0, 24, -78, 0, 0, -15, 0, -51, -3, 0, 111, -21, 0, 6, -99, 0, -63, -24, 0, 18, 84, 0, 15, 9, 0, -15, 15, 0, 18, 0, 0, -15, -15, 0, -81, 51, 0, 24, 18, 0, 126, -15, 0, 27, 48, 0, 78, -3, 0, -27, -30, 0, -27, -27, 0, 63, -123, 0, -63, 54, 0, -6, -51, 0, 99, -24, 0, 57, -57, 0, -15, 3, 0, -12, -90, 0, 48, 9, 0, -9, 21, 0, 45, -21, 0, 3, 0, 0, 0, -27, 0, -39, -3, 0, -54, -18, 0, -48, 27, 0, 60, 0, 0, -15, -36, 0, -45, -3, 0, 9, 78, 0, -18, 6, 0, -60, 42, 0, 39, 42, 0, 9, 15, 0, -27, -21, 0, -12, 21, 0, 36, 36, 0, -54, 90, 0, -111, 15, 0, 27, 27, 0, -3, 63, 0, 21, 42, 0, 24, 45, 0, -27, 180, 0, -144, 33, 0, 3, 69, 0, -15, 3, 0, -6, -9, 0, -27, 15, 0, -30, -18, 0, 30, 0, 0, 18, 42, 0, -93, -54, 0, -33, 99, 0, 9, -24, 0, -12, -87, 0, -24, -63, 0, 51, -69, 0, 72, 6, 0, -63, 33, 0, 33, 18, 0, 21, 33, 0, 18, -72, 0, -18, 45, 0, -45, 9, 0, -3, 9, 0, 12, 3, 0, 18, -153, 0, -24, -21, 0, 27, -18, 0, 30, 42, 0, -6, 3, 0, -39, 0, 0, -15, 6, 0, -9, 3, 0, -6, -81, 0, -9, 93, 0, -15, -90, 0, -9, -45, 0, 45, 27, 0, 30, -9, 0, -27, -126, 0, 102, 9, 0, -57, -12, 0, -54, -9, 0, 36, 36, 0, -156, -33, 0, 3, -9, 0, 66, 60, 0, 0, -39, 0, -12, 3, 0, 12, -147, 0, 39, -72, 0, -3, 15, 0, 90, 6, 0, 33, -30, 0, -27, -99, 0, 33, 36, 0, -33, 3, 0, 93, -63, 0, 66, 72, 0, -42, -129, 0, 39, -27, 0, 3, -36, 0, 45, 0, 0, -18, 60, 0, 18, 9, 0, 93, -36, 0, 57, 33, 0, 9, -12, 0, -108, -6, 0, 51, 78, 0, 84, -81, 0, -6, 36, 0, 0, -3, 0, 54, 117, 0, -54, 24, 0, -12, -81, 0, 30, 21, 0, 0, 66, 0, 24, -132, 0, 0, 6, 0, -42, 18, 0, -45, 6, 0, -123, -45, 0, -24, 171, 0, -24, 48, 0, -36, 9, 0, 81, 3, 0, -27, 15, 0, -57, 27, 0, -3, 99, 0, -30, 54, 0, 6, 108, 0, 45, 60, 0, 54, 3, 0, 12, 6, 0, -18, -9, 0, 102, -54, 0, 0, 24, 0, -21, 39, 0, 33, 69, 0, -27, -27, 0, -24, -3, 0, -45, 51, 0, 6, -120, 0, -102, -9, 0, -69, -45, 0, -135, -99, 0, -27], 'weight': 2, 'weight_parity': 1}