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mf_newforms • Show schema
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{'Nk2': 7360, 'analytic_conductor': 14.692473971915591, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [1840, 2, [1151, 1381, 737, 1201], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 369, 'conrey_indexes': [369], '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, [4, 0, 1]], [7, [1, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538833712, 'hecke_ring_generator_nbound': 5, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 7360, 'analytic_conductor': 14.692473971915591, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [1840, 2, [1151, 1381, 737, 1201], [2, 2, 1, 2]], 'conrey_index': 369, 'cusp_dim': 276, 'dim': 66, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 274911463216, 'hecke_orbit_dims': [2, 2, 4, 8, 8, 12, 14, 16], 'label': '1840.2.e', 'level': 1840, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'mf_dim': 300, 'mf_new_dim': 66, 'num_forms': 8, 'prim_orbit_index': 2, 'relative_dim': 66, 'sturm_bound': 576, 'trace_bound': 19, 'trace_display': [0, 0, 2, 0], 'traces': [66, 0, 0, 0, 2, 0, 0, 0, -66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, -4, 0, 12, 0, 0, 0, -12, 0, 0, 0, -40, 0, -4, 0, 0, 0, -10, 0, 0, 0, -82, 0, 24, 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mf_twists_cc • Show schema
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id: 35102236
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 369, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538833712, 'target_is_minimal': False, 'target_label': '1840.2.e.b.369.1', 'target_level': 1840, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35102237
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753031283, 'target_is_minimal': True, 'target_label': '115.2.b.a.24.1', 'target_level': 115, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35102238
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797786608, 'target_is_minimal': False, 'target_label': '9200.2.a.g.1.1', 'target_level': 9200, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35102239
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109419504, 'target_is_minimal': False, 'target_label': '9200.2.a.bg.1.1', 'target_level': 9200, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35102240
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 369, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538833712, 'target_is_minimal': False, 'target_label': '1840.2.e.b.369.2', 'target_level': 1840, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35102241
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 829, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68753032203, 'target_is_minimal': False, 'target_label': '1035.2.b.a.829.2', 'target_level': 1035, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35102242
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555007, 'target_is_minimal': False, 'target_label': '575.2.a.a.1.1', 'target_level': 575, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35102243
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036991, 'target_is_minimal': False, 'target_label': '575.2.a.e.1.1', 'target_level': 575, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35102244
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 24, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68753031283, 'target_is_minimal': True, 'target_label': '115.2.b.a.24.2', 'target_level': 115, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 35102245
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717822007, 'target_is_minimal': False, 'target_label': '5175.2.a.z.1.1', 'target_level': 5175, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35102246
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33559607, 'target_is_minimal': False, 'target_label': '5175.2.a.a.1.1', 'target_level': 5175, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 35102247
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 369, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538833712, 'source_is_minimal': False, 'source_label': '1840.2.e.b.369.1', 'source_level': 1840, 'target_conrey_index': 829, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753032203, 'target_is_minimal': False, 'target_label': '1035.2.b.a.829.1', 'target_level': 1035, 'twist_class_label': '115.2.b.a.24.1', 'twist_class_level': 115, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2245475
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503874538833712, 'p': 2}
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id: 2245476
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 3}
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id: 2245477
{'charpoly_factorization': [[[5, -4, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 5}
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id: 2245478
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 7}
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id: 2245479
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503874538833712, 'p': 11}
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id: 2245480
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 13}
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id: 2245481
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 17}
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id: 2245482
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 4503874538833712, 'p': 19}
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id: 2245483
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 23}
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id: 2245484
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 4503874538833712, 'p': 29}
-
id: 2245485
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 4503874538833712, 'p': 31}
-
id: 2245486
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 37}
-
id: 2245487
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 4503874538833712, 'p': 41}
-
id: 2245488
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 43}
-
id: 2245489
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 47}
-
id: 2245490
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 53}
-
id: 2245491
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 4503874538833712, 'p': 59}
-
id: 2245492
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503874538833712, 'p': 61}
-
id: 2245493
{'charpoly_factorization': [[[169, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 67}
-
id: 2245494
{'charpoly_factorization': [[[13, 1], 2]], 'hecke_orbit_code': 4503874538833712, 'p': 71}
-
id: 2245495
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 73}
-
id: 2245496
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 4503874538833712, 'p': 79}
-
id: 2245497
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 83}
-
id: 2245498
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 4503874538833712, 'p': 89}
-
id: 2245499
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 4503874538833712, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '1840.2.e.b', 'level': 1840, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 85692000
{'hecke_orbit_code': 4503874538833712, 'n': 1, 'trace_an': 2}
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id: 85692001
{'hecke_orbit_code': 4503874538833712, 'n': 2, 'trace_an': 0}
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id: 85692002
{'hecke_orbit_code': 4503874538833712, 'n': 3, 'trace_an': 0}
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id: 85692003
{'hecke_orbit_code': 4503874538833712, 'n': 4, 'trace_an': 0}
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id: 85692004
{'hecke_orbit_code': 4503874538833712, 'n': 5, 'trace_an': 4}
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id: 85692005
{'hecke_orbit_code': 4503874538833712, 'n': 6, 'trace_an': 0}
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id: 85692006
{'hecke_orbit_code': 4503874538833712, 'n': 7, 'trace_an': 0}
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id: 85692007
{'hecke_orbit_code': 4503874538833712, 'n': 8, 'trace_an': 0}
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id: 85692008
{'hecke_orbit_code': 4503874538833712, 'n': 9, 'trace_an': -2}
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id: 85692009
{'hecke_orbit_code': 4503874538833712, 'n': 10, 'trace_an': 0}
-
id: 85692010
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