Formats: - HTML - YAML - JSON - 2026-09-20T23:56:54.557694
Query: /api/mf_newforms/?_offset=0
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{'Nk2': 2088, 'analytic_conductor': 4.168190985510836, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 29, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 7, 'char_parity': 1, 'char_values': [522, 7, [407, 379], [7, 3]], 'cm_discs': [], 'conrey_index': 181, 'dim': 6, 'field_disc': -16807, 'field_disc_factorization': [[-1, 1], [7, 5]], 'field_poly': [1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 14, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, -9, 25, -1, 9, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504286855692810, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 61917, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 29, 4, 1, 7, 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.k.b', '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.k.b', 'nf_label': '6.0.16807.1', 'prim_orbit_index': 4, 'qexp_display': 'q+\\zeta_{14}^{4}q^{2}-\\zeta_{14}q^{4}+(-1+\\zeta_{14}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c7', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '522.2.k', 'trace_display': [-1, 0, -3, -6], 'trace_hash': 23255293215020826, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 4}, {'__RealLiteral__': 0, 'data': '5.798', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1.310', 'prec': 14}, {'__RealLiteral__': 0, 'data': '104.065', 'prec': 20}, {'__RealLiteral__': 0, 'data': '49.493', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3366.872', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 4}, 'traces': [6, -1, 0, -1, -3, 0, -6, -1, 0, 4, 7, 0, 12, 1, 0, -1, 24, 0, 16, 4, 0, 0, -22, 0, -4, -2, 0, -6, 15, 0, -10, -1, 0, 10, 10, 0, 24, -26, 0, 4, -4, 0, -6, 0, 0, 20, -4, 0, -1, -11, 0, -16, 8, 0, -7, 1, 0, 15, -54, 0, -16, 4, 0, -1, 8, 0, -8, -18, 0, 10, -8, 0, 6, 24, 0, -26, 7, 0, 16, 4, 0, -18, 12, 0, -26, 8, 0, -14, 6, 0, -40, -22, 0, 10, 62, 0, -10, -1, 0, -11, -28, 0, 14, 12, 0, -27, 2, 0, 44, 14, 0, -6, 18, 0, 4, 1, 0, 16, -10, 0, 18, -16, 0, 11, 17, 0, -2, 6, 0, 22, -32, 0, -100, -8, 0, -4, 8, 0, 50, 10, 0, 6, 42, 0, -46, -22, 0, -4, -14, 0, -13, 16, 0, -21, -9, 0, -8, 16, 0, -3, 8, 0, -58, -4, 0, -23, -64, 0, -19, 30, 0, -6, 14, 0, -10, 0, 0, -22, -21, 0, 36, 2, 0, 6, -68, 0, 42, -18, 0, 62, 16, 0, 14, 25, 0, 6, 0, 0, 76, -4, 0, 42, -1, 0, 44, 7, 0, -16, -14, 0, 32, 22, 0, 2, -4, 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4, 0, -55, -14, 0, -84, 144, 0, -80, -20, 0, -48, -10, 0, -6, -31, 0, -94, -16, 0, -11], 'weight': 2, 'weight_parity': 1}