Formats: - HTML - YAML - JSON - 2026-01-16T23:09:22.962668
Query: /api/mf_newforms/?_offset=0
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{'Nk2': 1512, 'analytic_conductor': 3.0183451964043986, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [378, 3, [29, 325], [2, 3]], 'cm_discs': [], 'conrey_index': 127, '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, [25, 10, 9, -2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511142513049978, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'id': 49128, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 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': '378.2.f.d', 'level': 378, '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': '126.2.f.c', 'nf_label': '4.0.576.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\beta _{1})q^{2}-\\beta _{1}q^{4}+(\\beta _{1}-\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '378.2.f', 'trace_display': [2, 0, 2, 2], 'trace_hash': 461998097967843364, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.864', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.112', 'prec': 17}, {'__RealLiteral__': 0, 'data': '56.865', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1399.591', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, 'traces': [4, 2, 0, -2, 2, 0, 2, -4, 0, 4, 4, 0, 0, -2, 0, -2, -8, 0, 20, 2, 0, -4, -2, 0, -4, 0, 0, -4, -4, 0, -12, 2, 0, -4, 4, 0, 8, 10, 0, -2, 0, 0, -4, -8, 0, -4, 0, 0, -2, 4, 0, 0, 24, 0, 8, -2, 0, 4, -4, 0, -18, -24, 0, 4, -24, 0, 16, 4, 0, 2, -20, 0, -8, 4, 0, -10, -4, 0, -6, -4, 0, 0, 4, 0, -4, 4, 0, -4, 48, 0, 0, -2, 0, 0, 22, 0, 4, -4, 0, 8, -10, 0, -28, 0, 0, 12, 48, 0, -8, 4, 0, 2, -22, 0, 2, 8, 0, -8, -4, 0, 14, 18, 0, -12, -36, 0, -12, 2, 0, 24, -22, 0, 10, 32, 0, 8, -4, 0, -14, -2, 0, -10, 0, 0, 40, -4, 0, -4, -12, 0, 10, -20, 0, -8, 12, 0, 2, 6, 0, -2, -4, 0, -40, 0, 0, -4, 8, 0, -22, -8, 0, 8, -16, 0, 4, 4, 0, 24, -24, 0, -12, 0, 0, 2, -44, 0, -8, 0, 0, 44, 18, 0, 26, -4, 0, -2, -8, 0, 8, 4, 0, 10, 4, 0, 48, -56, 0, 0, 20, 0, -16, -12, 0, 24, 40, 0, -24, -4, 0, -4, 0, 0, 32, 4, 0, -44, -6, 0, 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