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mf_newforms • Show schema
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{'Nk2': 1521, 'analytic_conductor': 4.6049164676890175, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 12, 'char_parity': -1, 'char_values': [169, 12, [2], [5]], 'cm_discs': [], 'conrey_index': 19, 'dim': 8, 'field_disc': 3317760000, 'field_disc_factorization': [[2, 16], [3, 4], [5, 4]], 'field_poly': [625, 0, 0, 0, -25, 0, 0, 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': [[2, [81, -108, 72, -168, 103, 56, 8, 4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511142529826985, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0], [1, 1, 13, 4, -1, 4, 0], [1, 1, 13, 6, -1, 12, 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': '169.3.f.d', 'level': 169, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [13], 'level_radical': 13, 'minimal_twist': '13.3.d.a', 'nf_label': '8.0.3317760000.2', 'prim_orbit_index': 6, 'qexp_display': 'q+(-1-\\beta _{2}-\\beta _{3}+\\beta _{4}+\\beta _{7})q^{2}+(1+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '169.3.f', 'trace_display': [-4, 4, -16, -12], 'trace_hash': 345427375010322775, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.671', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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'dual_embedding_index': 1, 'dual_embedding_m': 7, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': -0.5787369787208204, 'embedding_root_real': 2.15987580880501, 'hecke_orbit': 4, 'hecke_orbit_code': 13511142529826985, 'label': '169.3.f.d.80.1', 'level': 169, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 1521, 'analytic_conductor': 4.6049164676890175, 'char_conductor': 13, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 12, 'char_parity': -1, 'char_values': [169, 12, [2], [5]], 'conrey_index': 19, 'cusp_dim': 92, 'dim': 84, 'eis_dim': 56, 'eis_new_dim': 40, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 343647715497, 'hecke_orbit_dims': [4, 4, 4, 8, 8, 8, 48], 'label': '169.3.f', 'level': 169, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [13], 'level_radical': 13, 'mf_dim': 148, 'mf_new_dim': 124, 'num_forms': 7, 'prim_orbit_index': 6, 'relative_dim': 21, 'sturm_bound': 45, 'trace_bound': 2, 'trace_display': [2, 2, 14, -16], 'traces': [84, 2, 2, 6, 14, -10, -16, 6, -70, -24, -4, 0, 0, 8, 14, -6, 12, 2, -10, -26, -40, 36, -18, -42, 0, 0, 32, 44, 10, 54, 20, 20, 32, 18, -76, 54, 68, 0, 0, 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mf_twists_cc • Show schema
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id: 43254610
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 80, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511142529826985, 'target_is_minimal': False, 'target_label': '169.3.f.d.80.1', 'target_level': 169, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 43254611
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 8, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206208761869, 'target_is_minimal': True, 'target_label': '13.3.d.a.8.1', 'target_level': 13, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 43254612
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 70, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005090873513, 'target_is_minimal': False, 'target_label': '169.3.d.d.70.2', 'target_level': 169, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 43254613
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518341784567977, 'target_is_minimal': False, 'target_label': '169.3.f.f.19.1', 'target_level': 169, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 43254614
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518341784567977, 'target_is_minimal': False, 'target_label': '169.3.f.f.89.1', 'target_level': 169, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 43254615
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 150, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518341784567977, 'target_is_minimal': False, 'target_label': '169.3.f.f.150.2', 'target_level': 169, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 3}
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id: 43254616
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 150, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511142529826985, 'target_is_minimal': False, 'target_label': '169.3.f.d.150.1', 'target_level': 169, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 43254617
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142529826985, 'target_is_minimal': False, 'target_label': '169.3.f.d.89.2', 'target_level': 169, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 43254618
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142529826985, 'target_is_minimal': False, 'target_label': '169.3.f.d.19.2', 'target_level': 169, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 3}
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id: 43254619
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 5, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206208761869, 'target_is_minimal': True, 'target_label': '13.3.d.a.5.1', 'target_level': 13, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 3}
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id: 43254620
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005090873513, 'target_is_minimal': False, 'target_label': '169.3.d.d.99.2', 'target_level': 169, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 43254621
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 80, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518341784567977, 'target_is_minimal': False, 'target_label': '169.3.f.f.80.2', 'target_level': 169, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 3}
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id: 43254622
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 73, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618525622389, 'target_is_minimal': False, 'target_label': '117.3.j.a.73.2', 'target_level': 117, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '39.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 43254623
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618525622389, 'target_is_minimal': False, 'target_label': '117.3.j.a.109.2', 'target_level': 117, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '39.23', 'twisting_conrey_index': 23, 'weight': 3}
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id: 43254624
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 177, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008504975130832, 'target_is_minimal': False, 'target_label': '208.3.t.c.177.1', 'target_level': 208, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '52.15', 'twisting_conrey_index': 15, 'weight': 3}
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id: 43254625
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 161, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008504975130832, 'target_is_minimal': False, 'target_label': '208.3.t.c.161.1', 'target_level': 208, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '52.23', 'twisting_conrey_index': 23, 'weight': 3}
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id: 43254626
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011994562885, 'target_is_minimal': False, 'target_label': '325.3.g.b.99.2', 'target_level': 325, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '65.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 43254627
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 174, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011994562885, 'target_is_minimal': False, 'target_label': '325.3.g.b.174.2', 'target_level': 325, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '65.23', 'twisting_conrey_index': 23, 'weight': 3}
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id: 43254628
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412367192389, 'target_is_minimal': False, 'target_label': '325.3.g.a.99.1', 'target_level': 325, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '65.28', 'twisting_conrey_index': 28, 'weight': 3}
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id: 43254629
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 226, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618525622597, 'target_is_minimal': False, 'target_label': '325.3.j.a.226.2', 'target_level': 325, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '65.49', 'twisting_conrey_index': 49, 'weight': 3}
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id: 43254630
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 618525622597, 'target_is_minimal': False, 'target_label': '325.3.j.a.151.2', 'target_level': 325, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '65.54', 'twisting_conrey_index': 54, 'weight': 3}
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id: 43254631
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 80, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511142529826985, 'source_is_minimal': False, 'source_label': '169.3.f.d.80.1', 'source_level': 169, 'target_conrey_index': 174, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412367192389, 'target_is_minimal': False, 'target_label': '325.3.g.a.174.1', 'target_level': 325, 'twist_class_label': '13.3.d.a.5.1', 'twist_class_level': 13, 'twisting_char_label': '65.62', 'twisting_conrey_index': 62, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 435775
{'charpoly_factorization': [[[81, -108, 72, -168, 103, 56, 8, 4, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 2}
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id: 435776
{'charpoly_factorization': [[[81, 18, 13, -2, 1], 2]], 'hecke_orbit_code': 13511142529826985, 'p': 3}
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id: 435777
{'charpoly_factorization': [[[9, 24, 32, 8, 1], 2]], 'hecke_orbit_code': 13511142529826985, 'p': 5}
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id: 435778
{'charpoly_factorization': [[[28561, 26364, 12168, 7176, 3143, 552, 72, 12, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 7}
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id: 435779
{'charpoly_factorization': [[[37015056, -1898208, 48672, -51168, -4772, 656, 8, 4, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 11}
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id: 435780
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13511142529826985, 'p': 13}
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id: 435781
{'charpoly_factorization': [[[15178486401, 0, -90922338, 0, 421443, 0, -738, 0, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 17}
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id: 435782
{'charpoly_factorization': [[[160000, 0, 0, 0, -400, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 19}
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id: 435783
{'charpoly_factorization': [[[2998219536, 0, -45337968, 0, 630828, 0, -828, 0, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 23}
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id: 435784
{'charpoly_factorization': [[[22500, -3000, 550, 20, 1], 2]], 'hecke_orbit_code': 13511142529826985, 'p': 29}
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id: 435785
{'charpoly_factorization': [[[400, 800, 800, 40, 1], 2]], 'hecke_orbit_code': 13511142529826985, 'p': 31}
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id: 435786
{'charpoly_factorization': [[[1766100625, 344605000, 33620000, 9922000, 925975, -48400, 800, -40, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 37}
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id: 435787
{'charpoly_factorization': [[[136048896, -40310784, 5971968, -1022976, 139888, -9472, 512, -32, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 41}
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id: 435788
{'charpoly_factorization': [[[15178486401, 0, -130839462, 0, 1004643, 0, -1062, 0, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 43}
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id: 435789
{'charpoly_factorization': [[[6985449, 10572, 8, -4, 1], 2]], 'hecke_orbit_code': 13511142529826985, 'p': 47}
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id: 435790
{'charpoly_factorization': [[[150, 40, 1], 4]], 'hecke_orbit_code': 13511142529826985, 'p': 53}
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id: 435791
{'charpoly_factorization': [[[154922431942656, 2459086221312, 19516557312, 1703826432, 1075648, -482944, 1568, -56, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 59}
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id: 435792
{'charpoly_factorization': [[[29550096, -804528, 16468, -148, 1], 2]], 'hecke_orbit_code': 13511142529826985, 'p': 61}
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id: 435793
{'charpoly_factorization': [[[1613648503019536, -21386316543648, 141720620832, -8626879968, 16997468, 1361136, 3528, 84, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 67}
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id: 435794
{'charpoly_factorization': [[[7279872522864561, -223826328515052, 3440872431432, -57329773032, 796005943, -6206536, 40328, -284, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 71}
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id: 435795
{'charpoly_factorization': [[[4000000, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 13511142529826985, 'p': 73}
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id: 435796
{'charpoly_factorization': [[[-954, -32, 1], 4]], 'hecke_orbit_code': 13511142529826985, 'p': 79}
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id: 435797
{'charpoly_factorization': [[[2762244, 86424, 1352, -52, 1], 2]], 'hecke_orbit_code': 13511142529826985, 'p': 83}
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id: 435798
{'charpoly_factorization': [[[6887475360000, -850305600000, 52488000000, -5430240000, 332575600, -3352000, 20000, -200, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 89}
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id: 435799
{'charpoly_factorization': [[[202072549411238416, -648096092819744, 1039301346848, -64468666976, -346141412, 3040688, 2312, 68, 1], 1]], 'hecke_orbit_code': 13511142529826985, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 4, 'label': '169.3.f.d', 'level': 169, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 36661777
{'hecke_orbit_code': 13511142529826985, 'n': 1, 'trace_an': 8}
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id: 36661778
{'hecke_orbit_code': 13511142529826985, 'n': 2, 'trace_an': -4}
-
id: 36661779
{'hecke_orbit_code': 13511142529826985, 'n': 3, 'trace_an': 4}
-
id: 36661780
{'hecke_orbit_code': 13511142529826985, 'n': 4, 'trace_an': 0}
-
id: 36661781
{'hecke_orbit_code': 13511142529826985, 'n': 5, 'trace_an': -16}
-
id: 36661782
{'hecke_orbit_code': 13511142529826985, 'n': 6, 'trace_an': -16}
-
id: 36661783
{'hecke_orbit_code': 13511142529826985, 'n': 7, 'trace_an': -12}
-
id: 36661784
{'hecke_orbit_code': 13511142529826985, 'n': 8, 'trace_an': -72}
-
id: 36661785
{'hecke_orbit_code': 13511142529826985, 'n': 9, 'trace_an': -8}
-
id: 36661786
{'hecke_orbit_code': 13511142529826985, 'n': 10, 'trace_an': 0}
-
id: 36661787
{'hecke_orbit_code': 13511142529826985, 'n': 11, 'trace_an': -4}
-
id: 36661788
{'hecke_orbit_code': 13511142529826985, 'n': 12, 'trace_an': 0}
-
id: 36661789
{'hecke_orbit_code': 13511142529826985, 'n': 13, 'trace_an': 0}
-
id: 36661790
{'hecke_orbit_code': 13511142529826985, 'n': 14, 'trace_an': 8}
-
id: 36661791
{'hecke_orbit_code': 13511142529826985, 'n': 15, 'trace_an': -28}
-
id: 36661792
{'hecke_orbit_code': 13511142529826985, 'n': 16, 'trace_an': 84}
-
id: 36661793
{'hecke_orbit_code': 13511142529826985, 'n': 17, 'trace_an': 0}
-
id: 36661794
{'hecke_orbit_code': 13511142529826985, 'n': 18, 'trace_an': -64}
-
id: 36661795
{'hecke_orbit_code': 13511142529826985, 'n': 19, 'trace_an': 0}
-
id: 36661796
{'hecke_orbit_code': 13511142529826985, 'n': 20, 'trace_an': 16}
-
id: 36661797
{'hecke_orbit_code': 13511142529826985, 'n': 21, 'trace_an': -64}
-
id: 36661798
{'hecke_orbit_code': 13511142529826985, 'n': 22, 'trace_an': -88}
-
id: 36661799
{'hecke_orbit_code': 13511142529826985, 'n': 23, 'trace_an': 0}
-
id: 36661800
{'hecke_orbit_code': 13511142529826985, 'n': 24, 'trace_an': 24}
-
id: 36661801
{'hecke_orbit_code': 13511142529826985, 'n': 25, 'trace_an': 0}
-
id: 36661802
{'hecke_orbit_code': 13511142529826985, 'n': 26, 'trace_an': 0}
-
id: 36661803
{'hecke_orbit_code': 13511142529826985, 'n': 27, 'trace_an': -104}
-
id: 36661804
{'hecke_orbit_code': 13511142529826985, 'n': 28, 'trace_an': 4}
-
id: 36661805
{'hecke_orbit_code': 13511142529826985, 'n': 29, 'trace_an': -40}
-
id: 36661806
{'hecke_orbit_code': 13511142529826985, 'n': 30, 'trace_an': 0}
-
id: 36661807
{'hecke_orbit_code': 13511142529826985, 'n': 31, 'trace_an': -80}
-
id: 36661808
{'hecke_orbit_code': 13511142529826985, 'n': 32, 'trace_an': 20}
-
id: 36661809
{'hecke_orbit_code': 13511142529826985, 'n': 33, 'trace_an': -76}
-
id: 36661810
{'hecke_orbit_code': 13511142529826985, 'n': 34, 'trace_an': 216}
-
id: 36661811
{'hecke_orbit_code': 13511142529826985, 'n': 35, 'trace_an': 68}
-
id: 36661812
{'hecke_orbit_code': 13511142529826985, 'n': 36, 'trace_an': 0}
-
id: 36661813
{'hecke_orbit_code': 13511142529826985, 'n': 37, 'trace_an': 40}
-
id: 36661814
{'hecke_orbit_code': 13511142529826985, 'n': 38, 'trace_an': 0}
-
id: 36661815
{'hecke_orbit_code': 13511142529826985, 'n': 39, 'trace_an': 0}
-
id: 36661816
{'hecke_orbit_code': 13511142529826985, 'n': 40, 'trace_an': 168}
-
id: 36661817
{'hecke_orbit_code': 13511142529826985, 'n': 41, 'trace_an': 32}
-
id: 36661818
{'hecke_orbit_code': 13511142529826985, 'n': 42, 'trace_an': -76}
-
id: 36661819
{'hecke_orbit_code': 13511142529826985, 'n': 43, 'trace_an': 0}
-
id: 36661820
{'hecke_orbit_code': 13511142529826985, 'n': 44, 'trace_an': 344}
-
id: 36661821
{'hecke_orbit_code': 13511142529826985, 'n': 45, 'trace_an': 56}
-
id: 36661822
{'hecke_orbit_code': 13511142529826985, 'n': 46, 'trace_an': 132}
-
id: 36661823
{'hecke_orbit_code': 13511142529826985, 'n': 47, 'trace_an': 8}
-
id: 36661824
{'hecke_orbit_code': 13511142529826985, 'n': 48, 'trace_an': 76}
-
id: 36661825
{'hecke_orbit_code': 13511142529826985, 'n': 49, 'trace_an': 0}
-
id: 36661826
{'hecke_orbit_code': 13511142529826985, 'n': 50, 'trace_an': -128}
-
id: 36661827
{'hecke_orbit_code': 13511142529826985, 'n': 51, 'trace_an': 0}
-
id: 36661828
{'hecke_orbit_code': 13511142529826985, 'n': 52, 'trace_an': 0}
-
id: 36661829
{'hecke_orbit_code': 13511142529826985, 'n': 53, 'trace_an': -160}
-
id: 36661830
{'hecke_orbit_code': 13511142529826985, 'n': 54, 'trace_an': 152}
-
id: 36661831
{'hecke_orbit_code': 13511142529826985, 'n': 55, 'trace_an': -64}
-
id: 36661832
{'hecke_orbit_code': 13511142529826985, 'n': 56, 'trace_an': 0}
-
id: 36661833
{'hecke_orbit_code': 13511142529826985, 'n': 57, 'trace_an': 80}
-
id: 36661834
{'hecke_orbit_code': 13511142529826985, 'n': 58, 'trace_an': -140}
-
id: 36661835
{'hecke_orbit_code': 13511142529826985, 'n': 59, 'trace_an': 56}
-
id: 36661836
{'hecke_orbit_code': 13511142529826985, 'n': 60, 'trace_an': 232}
-
id: 36661837
{'hecke_orbit_code': 13511142529826985, 'n': 61, 'trace_an': 296}
-
id: 36661838
{'hecke_orbit_code': 13511142529826985, 'n': 62, 'trace_an': 0}
-
id: 36661839
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