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mf_newforms • Show schema
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{'Nk2': 2720, 'analytic_conductor': 5.429827337447066, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 85, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 26, 'char_orbit_label': 'z', 'char_order': 4, 'char_parity': 1, 'char_values': [680, 4, [511, 341, 137, 241], [4, 4, 2, 3]], 'cm_discs': [], 'conrey_index': 89, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [2, 2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1718020473512, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 85, 10, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2720, 'analytic_conductor': 5.429827337447066, 'char_conductor': 85, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 26, 'char_orbit_label': 'z', 'char_order': 4, 'char_parity': 1, 'char_values': [680, 4, [511, 341, 137, 241], [4, 4, 2, 3]], 'conrey_index': 89, 'cusp_dim': 200, 'dim': 56, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1718020473512, 'hecke_orbit_dims': [2, 2, 26, 26], 'label': '680.2.z', 'level': 680, '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, 5, 17], 'level_radical': 170, 'mf_dim': 232, 'mf_new_dim': 56, 'num_forms': 4, 'prim_orbit_index': 10, 'relative_dim': 28, 'sturm_bound': 216, 'trace_bound': 3, 'trace_display': [0, 0, 4, 0], 'traces': [56, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, -8, 0, 0, 0, 32, 0, 0, 0, 32, 0, -16, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 40, 0, 0, 0, -16, 0, 0, 0, -32, 0, -16, 0, 0, 0, -8, 0, 0, 0, 0, 0, -88, 0, 0, 0, -20, 0, 0, 0, 40, 0, 32, 0, 0, 0, 32, 0, 0, 0, -48, 0, 96, 0, 0, 0, 16, 0, 0, 0, 88, 0, 0, 0, 0, 0, -64, 0, 0, 0, -24, 0, 0, 0, 0, 0, 4, 0, 0, 0, -96, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -16, 0, 0, 0, -160, 0, -144, 0, 0, 0, -88, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -104, 0, 72, 0, 0, 0, -88, 0, 0, 0, -72, 0, 96, 0, 0, 0, -104, 0, 0, 0, 0, 0, 40, 0, 0, 0, 24, 0, 0, 0, 0, 0, -120, 0, 0, 0, 200, 0, 0, 0, -80, 0, -64, 0, 0, 0, -68, 0, 0, 0, 96, 0, 192, 0, 0, 0, 96, 0, 0, 0, -80, 0, 48, 0, 0, 0, -16, 0, 0, 0, 72, 0, -96, 0, 0, 0, -88, 0, 0, 0, -232, 0, 0, 0, 0, 0, 128, 0, 0, 0, 112, 0, 0, 0, 0, 0, -48, 0, 0, 0, 136, 0, -88, 0, 0, 0, 128, 0, 0, 0, 56, 0, -40, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 24, 0, 0, 0, 520, 0, 160, 0, 0, 0, 64, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 280, 0, -88, 0, 0, 0, 208, 0, 0, 0, -16, 0, -232, 0, 0, 0, 88, 0, 0, 0, 0, 0, 48, 0, 0, 0, 64, 0, 0, 0, 0, 0, 112, 0, 0, 0, -332, 0, 0, 0, -24, 0, 144, 0, 0, 0, 80, 0, 0, 0, 80, 0, 96, 0, 0, 0, -88, 0, 0, 0, -32, 0, -160, 0, 0, 0, -160, 0, 0, 0, -232, 0, 192, 0, 0, 0, 8, 0, 0, 0, 256, 0, 0, 0, 0, 0, -80, 0, 0, 0, -208, 0, 0, 0, 0, 0, 120, 0, 0, 0, -88, 0, 192, 0, 0, 0, -248, 0, 0, 0, -120, 0, 40, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -56, 0, 0, 0, -400, 0, -176, 0, 0, 0, 64, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -168, 0, -48, 0, 0, 0, -240, 0, 0, 0, -232, 0, 120, 0, 0, 0, -104, 0, 0, 0, 0, 0, 96, 0, 0, 0, 40, 0, 0, 0, 0, 0, -104, 0, 0, 0, 200, 0, 0, 0, -32, 0, -104, 0, 0, 0, -136, 0, 0, 0, -112, 0, -400, 0, 0, 0, 312, 0, 0, 0, 144, 0, 120, 0, 0, 0, 140, 0, 0, 0, 312, 0, -360, 0, 0, 0, 56, 0, 0, 0, -328, 0, 0, 0, 0, 0, 56, 0, 0, 0, 240, 0, 0, 0, 0, 0, -8, 0, 0, 0, 128, 0, -184, 0, 0, 0, 320, 0, 0, 0, 56, 0, -208, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 128, 0, 0, 0, 416, 0, -24, 0, 0, 0, 160, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 240, 0, 232, 0, 0, 0, -48, 0, 0, 0, 288, 0, -280, 0, 0, 0, 248, 0, 0, 0, 0, 0, -112, 0, 0, 0, -256, 0, 0, 0, 0, 0, 224, 0, 0, 0, -280, 0, 0, 0, 224, 0, 80, 0, 0, 0, 248, 0, 0, 0, -152, 0, -96, 0, 0, 0, -380, 0, 0, 0, 40, 0, 208, 0, 0, 0, -32, 0, 0, 0, -152, 0, 448, 0, 0, 0, 8, 0, 0, 0, 408, 0, 0, 0, 0, 0, -312, 0, 0, 0, -80, 0, 0, 0, 0, 0, 104, 0, 0, 0, -232, 0, 16, 0, 0, 0, -96, 0, 0, 0, -24, 0, 136, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, -132, 0, 0, 0, -888, 0, 16, 0, 0, 0, -584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -648, 0, -88, 0, 0, 0, -144, 0, 0, 0, -80, 0, 488, 0, 0, 0, -80, 0, 0, 0, 0, 0, -272, 0, 0, 0, 120, 0, 0, 0, 0, 0, -280, 0, 0, 0, 456, 0, 0, 0, -32, 0, -224, 0, 0, 0, -184, 0, 0, 0, -80, 0, 264, 0, 0, 0, -24, 0, 0, 0, -368, 0, 0, 0, 0, 0, 352, 0, 0, 0, 528, 0, -352, 0, 0, 0, -16, 0, 0, 0, -504, 0, 0, 0, 0, 0, 312, 0, 0, 0, 472, 0, 0, 0, 0, 0, -144, 0, 0, 0, 384, 0, -40, 0, 0, 0, 344, 0, 0, 0, -88, 0, 144, 0, 0, 0, 0, 0, 0, 0, 1008, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 19726033
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1718020473512, 'source_is_minimal': True, 'source_label': '680.2.z.a.89.1', 'source_level': 680, 'target_conrey_index': 89, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1718020473512, 'target_is_minimal': True, 'target_label': '680.2.z.a.89.1', 'target_level': 680, 'twist_class_label': '680.2.z.a.89.1', 'twist_class_level': 680, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 19726034
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1718020473512, 'source_is_minimal': True, 'source_label': '680.2.z.a.89.1', 'source_level': 680, 'target_conrey_index': 89, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505317647844008, 'target_is_minimal': True, 'target_label': '680.2.z.b.89.1', 'target_level': 680, 'twist_class_label': '680.2.z.a.89.1', 'twist_class_level': 680, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 19726035
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1718020473512, 'source_is_minimal': True, 'source_label': '680.2.z.a.89.1', 'source_level': 680, 'target_conrey_index': 489, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505317647844008, 'target_is_minimal': True, 'target_label': '680.2.z.b.489.1', 'target_level': 680, 'twist_class_label': '680.2.z.a.89.1', 'twist_class_level': 680, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 19726036
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1718020473512, 'source_is_minimal': True, 'source_label': '680.2.z.a.89.1', 'source_level': 680, 'target_conrey_index': 489, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1718020473512, 'target_is_minimal': True, 'target_label': '680.2.z.a.489.1', 'target_level': 680, 'twist_class_label': '680.2.z.a.89.1', 'twist_class_level': 680, 'twisting_char_label': '85.64', 'twisting_conrey_index': 64, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1202825
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 1718020473512, 'p': 2}
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id: 1202826
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 3}
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id: 1202827
{'charpoly_factorization': [[[5, -2, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 5}
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id: 1202828
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 7}
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id: 1202829
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 11}
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id: 1202830
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 13}
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id: 1202831
{'charpoly_factorization': [[[17, -2, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 17}
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id: 1202832
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 19}
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id: 1202833
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 23}
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id: 1202834
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 29}
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id: 1202835
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 31}
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id: 1202836
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 37}
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id: 1202837
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 41}
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id: 1202838
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 1718020473512, 'p': 43}
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id: 1202839
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 47}
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id: 1202840
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 1718020473512, 'p': 53}
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id: 1202841
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 59}
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id: 1202842
{'charpoly_factorization': [[[98, -14, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 61}
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id: 1202843
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 67}
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id: 1202844
{'charpoly_factorization': [[[242, -22, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 71}
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id: 1202845
{'charpoly_factorization': [[[98, 14, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 73}
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id: 1202846
{'charpoly_factorization': [[[98, 14, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 79}
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id: 1202847
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 1718020473512, 'p': 83}
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id: 1202848
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 1718020473512, 'p': 89}
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id: 1202849
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 1718020473512, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 26, 'hecke_orbit': 1, 'label': '680.2.z.a', 'level': 680, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 13562610
{'hecke_orbit_code': 1718020473512, 'n': 1, 'trace_an': 2}
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id: 13562611
{'hecke_orbit_code': 1718020473512, 'n': 2, 'trace_an': 0}
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id: 13562612
{'hecke_orbit_code': 1718020473512, 'n': 3, 'trace_an': -2}
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id: 13562613
{'hecke_orbit_code': 1718020473512, 'n': 4, 'trace_an': 0}
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id: 13562614
{'hecke_orbit_code': 1718020473512, 'n': 5, 'trace_an': 2}
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id: 13562615
{'hecke_orbit_code': 1718020473512, 'n': 6, 'trace_an': 0}
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id: 13562616
{'hecke_orbit_code': 1718020473512, 'n': 7, 'trace_an': -2}
-
id: 13562617
{'hecke_orbit_code': 1718020473512, 'n': 8, 'trace_an': 0}
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id: 13562618
{'hecke_orbit_code': 1718020473512, 'n': 9, 'trace_an': 0}
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id: 13562619
{'hecke_orbit_code': 1718020473512, 'n': 10, 'trace_an': 0}
-
id: 13562620
{'hecke_orbit_code': 1718020473512, 'n': 11, 'trace_an': -2}
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id: 13562621
{'hecke_orbit_code': 1718020473512, 'n': 12, 'trace_an': 0}
-
id: 13562622
{'hecke_orbit_code': 1718020473512, 'n': 13, 'trace_an': 0}
-
id: 13562623
{'hecke_orbit_code': 1718020473512, 'n': 14, 'trace_an': 0}
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id: 13562624
{'hecke_orbit_code': 1718020473512, 'n': 15, 'trace_an': 2}
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id: 13562625
{'hecke_orbit_code': 1718020473512, 'n': 16, 'trace_an': 0}
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id: 13562626
{'hecke_orbit_code': 1718020473512, 'n': 17, 'trace_an': 2}
-
id: 13562627
{'hecke_orbit_code': 1718020473512, 'n': 18, 'trace_an': 0}
-
id: 13562628
{'hecke_orbit_code': 1718020473512, 'n': 19, 'trace_an': 0}
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id: 13562629
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id: 13562843
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id: 13562852
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id: 13562856
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id: 13562867
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