Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 2088, 'analytic_conductor': 4.168190985510836, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 261, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 6, 'char_parity': 1, 'char_values': [522, 6, [407, 379], [4, 3]], 'cm_discs': [], 'conrey_index': 115, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, -2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 481069892106, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 61914, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 29, 2, 1, 2, 0], [1, 1, 261, 9, 1, 6, 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': '522.2.h.a', 'level': 522, '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, 29], 'level_radical': 174, 'minimal_twist': '522.2.h.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 9, 'qexp_display': 'q+\\zeta_{12}q^{2}+(-\\zeta_{12}-\\zeta_{12}^{3})q^{3}+\\zeta_{12}^{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '522.2.h', 'trace_display': [0, 0, 4, -2], 'trace_hash': 641010378203279300, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '4.015', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '94.019', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '3308.987', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 10}, 'traces': [4, 0, 0, 2, 4, 0, -2, 0, -6, 0, 0, 0, 8, 0, 0, -2, 0, 0, 0, -4, 0, 2, 0, 6, 2, 0, 0, -4, -4, 12, 0, 0, 0, -4, -8, -12, 0, 2, 0, 0, 0, 6, 0, 0, -24, 0, 0, 0, 12, 0, 12, -8, 8, 18, 0, 0, -6, 10, -8, 0, 0, 16, -6, -4, -16, 0, -4, 0, 0, 0, 28, 0, 0, 4, 0, 0, 0, 24, 0, -8, -18, -8, 8, 0, 0, -18, 0, -2, 0, 0, -16, 0, -24, 12, 0, 6, 0, 0, 0, 4, 0, 0, -38, 0, 0, 0, 16, 0, 24, -4, -12, -2, 0, 0, 0, -8, -48, 0, 0, 12, -20, -26, 12, 0, 48, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -8, 0, 0, -20, -4, 0, 0, 0, -6, -16, 8, 0, 0, 24, -6, 32, 4, 0, -4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 12, 0, -6, 0, -6, -16, 0, 0, 0, 12, 2, 0, 0, 4, 96, -12, 104, 0, 0, 0, 0, 0, -4, 0, 0, 8, 0, 0, 0, -16, 0, -12, 64, -12, -32, 0, 0, -12, -4, 12, 0, 0, 0, -16, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -42, 0, 6, -56, -36, -6, 0, 0, 6, -10, -52, 0, 0, 8, 0, -4, 30, 0, -2, 0, 0, 0, -24, 0, 0, 8, 0, 0, 0, 6, 0, -12, 24, -2, -52, 0, 0, -32, -12, 36, 0, 0, 8, 2, -12, 4, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, -46, 0, 0, 14, -12, -8, 0, 0, 52, -20, 0, 0, 0, 36, 16, 8, 18, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 16, 0, 24, 2, 36, 12, 0, 0, 0, 10, -4, 0, 0, 8, 18, 16, -34, 0, -4, 0, 0, 0, 16, 0, 0, 8, 0, 0, 0, 84, 0, 16, 6, -52, 18, 0, 0, -72, 30, 56, 0, 0, -4, -42, -24, 28, 0, 0, 0, 0, 0, 72, 0, 0, -8, 0, 0, 0, 0, 0, 16, -4, 0, -20, 0, 0, -12, -32, -18, 0, 0, 36, 0, -54, 0, 0, -40, 0, 0, 0, 48, 0, 0, -54, 0, 0, 0, -72, 0, 0, 2, 46, -12, 0, 0, 36, -20, 4, 0, 0, -8, 0, 38, 16, 0, 32, 0, 0, 0, -36, 0, 0, 52, 0, 0, 0, 0, 0, 8, 24, 36, -92, 0, 0, -8, 60, 12, 0, 0, -30, -8, -72, -32, 0, -12, 0, 0, 0, 2, 0, 0, -8, 0, 0, 0, -16, 0, 36, -12, 0, 0, 0, 0, 38, -4, 0, 0, 0, -24, 8, -24, -54, 0, -18, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 20, 0, -54, -76, 26, 102, 0, 0, 0, -20, 16, 0, 0, -14, -24, -48, 24, 0, -30, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 76, -54, 12, 4, 0, 0, -148, -60, 16, 0, 0, -32, 16, 6, 46, 0, 48, 0, 0, 0, 16, 0, 0, 50, 0, 0, 0, 56, 0, -4, 24, 0, -76, 0, 0, 4, 10, 0, 0, 0, -24, 20, 48, -24, 0, 4, 0, 0, 0, 36, 0, 0, 36, 0, 0, 0, 40, 0, 0, 4, 0, 6, 0, 0, 60, -8, 8, 0, 0, 16, -48, -20, 36, 0, -8, 0, 0, 0, -172, 0, 0, -24, 0, 0, 0, 0, 0, 36, 24, 64, 40, 0, 0, 2, 30, 52, 0, 0, -40, -18, 0, -2, 0, -114, 0, 0, 0, 72, 0, 0, 38, 0, 0, 0, 16, 0, -176, 8, -78, 22, 0, 0, -48, -8, -42, 0, 0, 0, -28, 0, -108, 0, 44, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, -24, 0, 12, -32, 62, 48, 0, 0, 12, 0, 6, 0, 0, -26, -6, 22, -32, 0, -12, 0, 0, 0, -8, 0, 0, -72, 0, 0, 0, 18, 0, 16, 0, -16, 0, 0, 0, 40, 0, -8, 0, 0, -2, 0, 0, -8, 0, 72, 0, 0, 0, -80, 0, 0, 8, 0, 0, 0, 48, 0, 8, 124, 12, 76, 0, 0, 52, 4, -60, 0, 0, 108, 32, 36, -78, 0, 20, 0, 0, 0, 12, 0, 0, -24, 0, 0, 0, -48, 0, 24, -8, -8, 0, 0, 0, 90, -40, 128, 0, 0, -10, 0, 4, 44, 0, -12, 0, 0, 0, 32, 0, 0, -4, 0, 0, 0, 108, 0, 16, 0, -36, 4, 0, 0, 0, 90, -24, 0, 0, -8, 32, 0, 16, 0, -6, 0, 0, 0, -16, 0, 0, -24, 0, 0, 0, 8, 0, 0, 32, -150, 12, 0, 0, 24, 4, -168, 0, 0, 0, -18, 128, 24, 0, 36, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, -8, 0, -60, 12, 4, 72, 0, 0, -12, 42, 22, 0, 0, -24, -72, 40, -4, 0, 4, 0, 0, 0, 52, 0, 0, -14, 0, 0, 0, -12, 0, -132, -18, 0, -4, 0, 0, -8, 0, 16, 0, 0, 0, -24, -24, -80, 0, 30, 0, 0, 0, -104, 0, 0, -8, 0, 0, 0, 16, 0, -84, 12, 72, 96, 0, 0, -60, 80, -6, 0, 0, -54, -28, 104, -96, 0, -72, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, -116, 0, 54, 10, 56, 0, 0, 0, 228, -20, -62, 0, 0, -26, -108, -6, -16, 0, 164, 0, 0, 0, -48, 0, 0, 16, 0, 0, 0, -24, 0, -2, 0, 4, -188, 0, 0, -30, 12, -76, 0, 0, -30, 32, -24, -4, 0, 0, 0, 0, 0, 32, 0, 0, 40, 0, 0, 0, -108, 0, 4, -48, -36, -48, 0, 0, 64, -8, 36, 0, 0, -12, 172, -8, 0, 0, -32, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}