Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 672, 'analytic_conductor': 1.3414867539575104, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 168, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 2, 'char_parity': 1, 'char_values': [168, 2, [127, 85, 113, 73], [2, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 125, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, -2, 0, 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, [2, 0, 1]], [11, [-6, 0, 1]], [13, [-2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 549789368488, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'id': 26641, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 56, 8, -1, 2, 0], [1, 1, 168, 9, 1, 2, 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': '168.2.i.a', 'level': 168, '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': '168.2.i.a', 'nf_label': '4.0.576.1', 'prim_orbit_index': 9, 'qexp_display': 'q+\\beta _{1}q^{2}+(-1+\\beta _{2})q^{3}+(1+\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '168.2.i', 'trace_display': [0, -4, 0, -8], 'trace_hash': 336094268233711210, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.860', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1.151', 'prec': 14}, {'__RealLiteral__': 0, 'data': '123.523', 'prec': 20}, {'__RealLiteral__': 0, 'data': '57.060', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5022.133', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.750', 'prec': 10}, 'traces': [4, 0, -4, 4, 0, -4, -8, 0, -4, -4, 0, -4, 8, 0, -8, -8, 0, 8, -16, 0, 8, 12, 0, -16, 12, 0, 20, 4, 0, 4, 0, 0, 0, 36, 0, -4, 0, 0, -8, -16, 0, 20, 0, 0, 16, -4, 0, 8, 4, 0, 0, 8, 0, -4, 0, 0, 16, -24, 0, -8, -40, 0, 8, -32, 0, -12, 0, 0, -8, 20, 0, 32, 0, 0, -12, -16, 0, -8, 32, 0, -28, -12, 0, -4, 0, 0, 0, 0, 0, 4, -16, 0, 0, -24, 0, -16, 0, 0, 0, 12, 0, -36, 0, 0, 16, 0, 0, 20, 0, 0, 0, 40, 0, 16, -8, 0, -8, -16, 0, 16, -20, 0, 0, 48, 0, -40, -16, 0, 0, -8, 0, -24, 32, 0, -8, 0, 0, 4, 56, 0, 0, -4, 0, 8, 0, 0, -4, 72, 0, -12, 32, 0, 0, -12, 0, -8, 56, 0, 0, -16, 0, -16, 0, 0, 0, 32, 0, 32, -36, 0, 16, 24, 0, 24, -24, 0, -32, -36, 0, 16, -88, 0, 40, -16, 0, 48, 72, 0, -40, 16, 0, 32, -16, 0, -16, -44, 0, -12, 0, 0, 0, -28, 0, -72, 0, 0, 16, -16, 0, -20, 0, 0, -8, 36, 0, -16, -48, 0, 0, -24, 0, 72, 0, 0, -12, -40, 0, 16, 56, 0, 24, 0, 0, 16, 0, 0, -32, -36, 0, 16, 0, 0, -4, -40, 0, 12, -32, 0, 64, -32, 0, -4, 0, 0, 0, -32, 0, 24, -72, 0, 0, 32, 0, 0, 0, 0, 0, -24, 0, -20, 0, 0, 16, 32, 0, -8, 0, 0, 0, 32, 0, 24, -16, 0, 32, 24, 0, 32, 148, 0, 0, 0, 0, -52, -32, 0, 0, -48, 0, -12, -24, 0, -56, 32, 0, -36, -16, 0, 0, 48, 0, -32, 0, 0, -32, 32, 0, 0, -48, 0, 0, 20, 0, -28, 24, 0, 0, 0, 0, -24, 0, 0, 0, 96, 0, -40, 8, 0, -80, -72, 0, -32, 40, 0, 8, -4, 0, 48, 56, 0, 40, -48, 0, 16, -8, 0, 72, -108, 0, 16, -12, 0, 20, 8, 0, 40, 0, 0, 0, 72, 0, -48, 0, 0, -64, 0, 0, 20, 0, 0, 16, 44, 0, 32, 24, 0, 0, 96, 0, 8, 0, 0, 64, 72, 0, 48, 8, 0, -32, -24, 0, -24, 0, 0, -32, 24, 0, 0, 0, 0, 64, -96, 0, 4, 64, 0, -56, -48, 0, -8, 0, 0, 0, 0, 0, 4, 80, 0, 0, 24, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, -4, 72, 0, -72, 0, 0, 0, 64, 0, 24, -24, 0, -32, 8, 0, 64, -40, 0, 0, -8, 0, 12, -16, 0, 0, -40, 0, -8, 24, 0, -56, -64, 0, -32, -48, 0, 0, -76, 0, 16, 0, 0, 16, -20, 0, 44, -16, 0, 0, -52, 0, 24, -144, 0, 0, 96, 0, -32, 0, 0, 0, -40, 0, -64, -56, 0, 36, -16, 0, -72, 0, 0, -80, -12, 0, -24, -48, 0, -8, -32, 0, 24, -88, 0, 24, -28, 0, -48, 84, 0, 64, -16, 0, 36, 0, 0, 0, 68, 0, -8, 0, 0, 88, -144, 0, 40, 0, 0, 40, 36, 0, 16, -64, 0, 0, 56, 0, -96, 0, 0, -72, 8, 0, 48, -80, 0, 56, -16, 0, -16, 0, 0, 88, 12, 0, 32, 0, 0, 16, 48, 0, 96, 0, 0, 32, -4, 0, 44, 0, 0, 0, 144, 0, 60, 72, 0, 0, -8, 0, -48, 0, 0, 0, 32, 0, 28, 0, 0, -48, 40, 0, 144, 0, 0, 0, 48, 0, -96, -40, 0, -8, -120, 0, 16, -4, 0, 0, 56, 0, -20, 128, 0, 0, -96, 0, 0, 8, 0, 16, 32, 0, -36, 80, 0, 0, -144, 0, -64, 0, 0, 48, 72, 0, 0, 64, 0, 0, 24, 0, 24, 56, 0, 0, 128, 0, -144, 0, 0, 0, -24, 0, -16, 32, 0, 60, -36, 0, 40, -96, 0, 16, 48, 0, 16, 64, 0, -56, 48, 0, 8, -40, 0, -48, -12, 0, 0, -72, 0, -80, 12, 0, -8, 0, 0, 0, -60, 0, -32, 0, 0, -32, 0, 0, 36, 0, 0, -152, -76, 0, -32, 96, 0, 0, -88, 0, 20, 0, 0, 92, 0, 0, 40, 56, 0, -8, -16, 0, 12, 0, 0, 32, 0, 0, 0, 0, 0, -128, 72, 0, 32, 128, 0, -80, -48, 0, 20, 0, 0, 0, 64, 0, 16, 0, 0, 0, 24, 0, 32, 0, 0, 0, -16, 0, -48, 0, 0, 72, 120, 0, -16, 0, 0, 0, -104, 0, -32, 8, 0, -56, -32, 0, 0, -80, 0, 0, 72, 0, -80, -144, 0, 0, 32, 0, 24, 16, 0, 136, -112, 0, 28, 8, 0, 0, 72, 0, -144, 0, 0, 16, 24, 0, -32, 80, 0, 0, 80, 0, 16, -136, 0, 0, -64, 0, -56, 0, 0, 0, 32, 0, -32, -20, 0, 16, -168, 0, 24, 40, 0, 16, 108, 0, -8, -40, 0, -64, 0, 0, -24, 80, 0, -24, -52, 0, -16, -8, 0, -148, -144, 0, 48, 0, 0, 0, 16, 0, 0, 0, 0, -8, -48, 0, 104, 0, 0, 32, 84, 0, 0, 32, 0, 0, -120, 0, 48, 0, 0, -16, 104, 0, -12, 0, 0, 24, -160, 0, -32, 0, 0, 112, 40, 0, -32, 0, 0, 80, 56, 0, 180, -160, 0, 16, -28, 0, 72, 0, 0, 0, 96, 0, -48, -16, 0, 0, -88, 0, 64, 0, 0, 0, 48, 0, -56, 0, 0, 16, 24, 0, -32, 0, 0, 0, 144, 0, 0, 88, 0, 48, -24, 0, 64, -68, 0, 0, -48, 0, -20, -16, 0, 0, 96, 0, -4, -112, 0, -24, 80, 0, 72, -72, 0, 0, -84, 0, 0, 0, 0, -48, -32, 0, 48, -208, 0, 0, 20, 0, 64, 248, 0, 0, -128], 'weight': 2, 'weight_parity': 1}