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mf_newforms • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'cm_discs': [], 'conrey_index': 136, 'conrey_indexes': [136, 271], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 3, 1]], [7, [400, 20, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511073827127701, 'hecke_ring_generator_nbound': 4, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'conrey_index': 136, 'cusp_dim': 300, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 274945016213, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 12, 12], 'label': '405.4.e', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 348, 'mf_new_dim': 96, 'num_forms': 24, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [0, 0, 0, -60], 'traces': [96, 0, 0, -192, 0, 0, -60, 0, 0, 0, 0, 0, 120, 0, 0, -768, 0, 0, -960, 0, 0, 72, 0, 0, -1200, 0, 0, 1920, 0, 0, -600, 0, 0, -1350, 0, 0, -1680, 0, 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0, -112446, 0, 0, 284952, 0, 0, 4320, 0, 0, -210528, 0, 0, -17928, 0, 0, 69036, 0, 0, 379980, 0, 0, -106560, 0, 0, 208836, 0, 0, 47988, 0, 0, -962124, 0, 0, -62412, 0, 0, -203040, 0, 0, -122952, 0, 0, -151530, 0, 0, 87048, 0, 0, -30816, 0, 0, -87120, 0, 0, 401892, 0, 0, 251400, 0, 0, 231480, 0, 0, 163596, 0, 0, 22500], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43216320
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 136, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073827127701, 'target_is_minimal': False, 'target_label': '405.4.e.d.136.1', 'target_level': 405, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 43216321
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 136, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271218721173, 'target_is_minimal': False, 'target_label': '405.4.e.k.136.1', 'target_level': 405, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 43216322
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479405, 'target_is_minimal': False, 'target_label': '45.4.a.b.1.1', 'target_level': 45, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 43216323
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073827127701, 'target_is_minimal': False, 'target_label': '405.4.e.d.271.1', 'target_level': 405, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 43216324
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271218721173, 'target_is_minimal': False, 'target_label': '405.4.e.k.271.1', 'target_level': 405, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 43216325
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479375, 'target_is_minimal': True, 'target_label': '15.4.a.b.1.1', 'target_level': 15, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 43216326
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998203961584, 'target_is_minimal': False, 'target_label': '240.4.a.f.1.1', 'target_level': 240, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 43216327
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193732408016, 'target_is_minimal': False, 'target_label': '720.4.a.r.1.1', 'target_level': 720, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 43216328
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867668697313, 'target_is_minimal': False, 'target_label': '225.4.b.d.199.1', 'target_level': 225, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 43216329
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68786585675, 'target_is_minimal': False, 'target_label': '75.4.b.a.49.2', 'target_level': 75, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 43216330
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831332065, 'target_is_minimal': False, 'target_label': '225.4.a.g.1.1', 'target_level': 225, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 43216331
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108939, 'target_is_minimal': False, 'target_label': '75.4.a.a.1.1', 'target_level': 75, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 43216332
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867668697313, 'target_is_minimal': False, 'target_label': '225.4.b.d.199.2', 'target_level': 225, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 4}
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id: 43216333
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68786585675, 'target_is_minimal': False, 'target_label': '75.4.b.a.49.1', 'target_level': 75, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 4}
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id: 43216334
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321852061, 'target_is_minimal': False, 'target_label': '2205.4.a.c.1.1', 'target_level': 2205, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 43216335
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797086073567, 'target_is_minimal': False, 'target_label': '735.4.a.i.1.1', 'target_level': 735, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 43216336
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968185280, 'target_is_minimal': False, 'target_label': '960.4.a.l.1.1', 'target_level': 960, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '72.43', 'twisting_conrey_index': 43, 'weight': 4}
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id: 43216337
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387397706688, 'target_is_minimal': False, 'target_label': '960.4.a.bi.1.1', 'target_level': 960, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '72.61', 'twisting_conrey_index': 61, 'weight': 4}
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id: 43216338
{'conductor': 99, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110679, 'target_is_minimal': False, 'target_label': '1815.4.a.a.1.1', 'target_level': 1815, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '99.43', 'twisting_conrey_index': 43, 'weight': 4}
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id: 43216339
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043539192939696, 'target_is_minimal': False, 'target_label': '1200.4.f.m.49.1', 'target_level': 1200, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '180.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 43216340
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043539192939696, 'target_is_minimal': False, 'target_label': '1200.4.f.m.49.2', 'target_level': 1200, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '180.43', 'twisting_conrey_index': 43, 'weight': 4}
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id: 43216341
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 136, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511073827127701, 'source_is_minimal': False, 'source_label': '405.4.e.d.136.1', 'source_level': 405, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394850297008, 'target_is_minimal': False, 'target_label': '1200.4.a.o.1.1', 'target_level': 1200, 'twist_class_label': '15.4.a.b.1.1', 'twist_class_level': 15, 'twisting_char_label': '180.79', 'twisting_conrey_index': 79, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 846225
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 2}
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id: 846226
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073827127701, 'p': 3}
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id: 846227
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 5}
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id: 846228
{'charpoly_factorization': [[[400, 20, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 7}
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id: 846229
{'charpoly_factorization': [[[576, -24, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 11}
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id: 846230
{'charpoly_factorization': [[[5476, 74, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 13}
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id: 846231
{'charpoly_factorization': [[[-54, 1], 2]], 'hecke_orbit_code': 13511073827127701, 'p': 17}
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id: 846232
{'charpoly_factorization': [[[124, 1], 2]], 'hecke_orbit_code': 13511073827127701, 'p': 19}
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id: 846233
{'charpoly_factorization': [[[14400, -120, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 23}
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id: 846234
{'charpoly_factorization': [[[6084, -78, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 29}
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id: 846235
{'charpoly_factorization': [[[40000, 200, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 31}
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id: 846236
{'charpoly_factorization': [[[70, 1], 2]], 'hecke_orbit_code': 13511073827127701, 'p': 37}
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id: 846237
{'charpoly_factorization': [[[108900, 330, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 41}
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id: 846238
{'charpoly_factorization': [[[8464, 92, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 43}
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id: 846239
{'charpoly_factorization': [[[576, -24, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 47}
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id: 846240
{'charpoly_factorization': [[[-450, 1], 2]], 'hecke_orbit_code': 13511073827127701, 'p': 53}
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id: 846241
{'charpoly_factorization': [[[576, 24, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 59}
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id: 846242
{'charpoly_factorization': [[[103684, -322, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 61}
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id: 846243
{'charpoly_factorization': [[[38416, -196, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 67}
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id: 846244
{'charpoly_factorization': [[[288, 1], 2]], 'hecke_orbit_code': 13511073827127701, 'p': 71}
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id: 846245
{'charpoly_factorization': [[[430, 1], 2]], 'hecke_orbit_code': 13511073827127701, 'p': 73}
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id: 846246
{'charpoly_factorization': [[[270400, -520, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 79}
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id: 846247
{'charpoly_factorization': [[[24336, 156, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 83}
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id: 846248
{'charpoly_factorization': [[[-1026, 1], 2]], 'hecke_orbit_code': 13511073827127701, 'p': 89}
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id: 846249
{'charpoly_factorization': [[[81796, -286, 1], 1]], 'hecke_orbit_code': 13511073827127701, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 4, 'label': '405.4.e.d', 'level': 405, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 141592000
{'hecke_orbit_code': 13511073827127701, 'n': 1, 'trace_an': 2}
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id: 141592001
{'hecke_orbit_code': 13511073827127701, 'n': 2, 'trace_an': -3}
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id: 141592002
{'hecke_orbit_code': 13511073827127701, 'n': 3, 'trace_an': 0}
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id: 141592003
{'hecke_orbit_code': 13511073827127701, 'n': 4, 'trace_an': -1}
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id: 141592004
{'hecke_orbit_code': 13511073827127701, 'n': 5, 'trace_an': 5}
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id: 141592005
{'hecke_orbit_code': 13511073827127701, 'n': 6, 'trace_an': 0}
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id: 141592006
{'hecke_orbit_code': 13511073827127701, 'n': 7, 'trace_an': -20}
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id: 141592007
{'hecke_orbit_code': 13511073827127701, 'n': 8, 'trace_an': -42}
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id: 141592008
{'hecke_orbit_code': 13511073827127701, 'n': 9, 'trace_an': 0}
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id: 141592009
{'hecke_orbit_code': 13511073827127701, 'n': 10, 'trace_an': -30}
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id: 141592010
{'hecke_orbit_code': 13511073827127701, 'n': 11, 'trace_an': 24}
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id: 141592011
{'hecke_orbit_code': 13511073827127701, 'n': 12, 'trace_an': 0}
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id: 141592012
{'hecke_orbit_code': 13511073827127701, 'n': 13, 'trace_an': -74}
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id: 141592013
{'hecke_orbit_code': 13511073827127701, 'n': 14, 'trace_an': -60}
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id: 141592014
{'hecke_orbit_code': 13511073827127701, 'n': 15, 'trace_an': 0}
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id: 141592015
{'hecke_orbit_code': 13511073827127701, 'n': 16, 'trace_an': 71}
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id: 141592016
{'hecke_orbit_code': 13511073827127701, 'n': 17, 'trace_an': 108}
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id: 141592017
{'hecke_orbit_code': 13511073827127701, 'n': 18, 'trace_an': 0}
-
id: 141592018
{'hecke_orbit_code': 13511073827127701, 'n': 19, 'trace_an': -248}
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id: 141592019
{'hecke_orbit_code': 13511073827127701, 'n': 20, 'trace_an': 5}
-
id: 141592020
{'hecke_orbit_code': 13511073827127701, 'n': 21, 'trace_an': 0}
-
id: 141592021
{'hecke_orbit_code': 13511073827127701, 'n': 22, 'trace_an': 72}
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id: 141592022
{'hecke_orbit_code': 13511073827127701, 'n': 23, 'trace_an': 120}
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id: 141592023
{'hecke_orbit_code': 13511073827127701, 'n': 24, 'trace_an': 0}
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id: 141592024
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