Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 16128, 'analytic_conductor': 78.72102642199869, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [252, 3, [127, 29, 73], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 37, 'dim': 8, 'field_disc': 1397070012728286310050576, 'field_disc_factorization': [[2, 4], [3, 4], [46831, 2], [701089, 2]], 'field_poly': [7056, 479136, 32480596, 3735784, 417701, 12718, 659, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [137884706380890000, -1818223874082000, 61886124103500, 645463151820, 9091930509, 29803308, 140509, -196, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504286956355836, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 762048, 'hecke_ring_index_factorization': [[2, 6], [3, 5], [7, 2]], 'hecke_ring_index_proved': True, 'id': 36581, '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': False, 'label': '252.8.k.b', 'level': 252, '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, 7], 'level_radical': 42, 'minimal_twist': '84.8.i.a', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\beta _{1}+7^{2}\\beta _{2}-\\beta _{5})q^{5}+(47+\\beta _{1}-206\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '252.8.k', 'trace_display': [0, 0, 196, -434], 'trace_hash': 1634457467445606749, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '7.594', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '228.797', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '11663.674', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 4}, 'traces': [8, 0, 0, 0, 196, 0, -434, 0, 0, 0, -406, 0, 3948, 0, 0, 0, 7436, 0, 15874, 0, 0, 0, 6788, 0, 69898, 0, 0, 0, 189088, 0, -55890, 0, 0, 0, 750596, 0, 93742, 0, 0, 0, -13944, 0, -487844, 0, 0, 0, 650484, 0, -1834756, 0, 0, 0, -368880, 0, -2391536, 0, 0, 0, -96026, 0, -3618156, 0, 0, 0, -974160, 0, -316006, 0, 0, 0, -12436312, 0, -1287286, 0, 0, 0, 6614440, 0, 8187282, 0, 0, 0, -7387300, 0, 21933928, 0, 0, 0, 14489928, 0, -10505670, 0, 0, 0, -18406792, 0, 23722580, 0, 0, 0, -2205188, 0, -17980202, 0, 0, 0, -17848182, 0, 18490370, 0, 0, 0, -24699704, 0, -29770268, 0, 0, 0, 20225212, 0, 19482466, 0, 0, 0, -103249680, 0, -74498508, 0, 0, 0, 44829202, 0, -36322846, 0, 0, 0, -32817920, 0, -67323868, 0, 0, 0, -43273512, 0, -65742526, 0, 0, 0, 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-20080258560, 0, 0, 0, 193657641548, 0, -26008190600, 0, 0, 0, 185244866408, 0, -165477467876, 0, 0, 0, -3850369206, 0, 78333759658, 0, 0, 0, 47119525320, 0, 186934933776, 0, 0, 0, -131020990272, 0, -35466392732, 0, 0, 0, -84891242720, 0, 71494763302, 0, 0, 0, 201116901968, 0, 47632522438, 0, 0, 0], 'weight': 8, 'weight_parity': 1}