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mf_newforms • Show schema
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{'Nk2': 8400, 'analytic_conductor': 16.76858442446888, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 105, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [2100, 2, [1051, 701, 1177, 1501], [2, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1049, 'conrey_indexes': [1049], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [27, 0, 1]], [13, [-3, 0, 1]], [23, [0, 1]], [41, [-6, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007542885681204, 'hecke_ring_generator_nbound': 7, '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, 5, 2, 1, 2, 0], 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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mf_twists_cc • Show schema
Hide schema
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id: 40908175
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885681204, 'target_is_minimal': False, 'target_label': '2100.2.f.c.1049.2', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40908176
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511142513051700, 'target_is_minimal': False, 'target_label': '2100.2.f.d.1049.1', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40908177
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014604701468724, 'target_is_minimal': False, 'target_label': '2100.2.d.e.1301.2', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40908178
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 41, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191985060, 'target_is_minimal': True, 'target_label': '420.2.d.a.41.1', 'target_level': 420, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40908179
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007542885681204, 'target_is_minimal': False, 'target_label': '2100.2.f.c.1049.3', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40908180
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511142513051700, 'target_is_minimal': False, 'target_label': '2100.2.f.d.1049.3', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 40908181
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206191986740, 'target_is_minimal': False, 'target_label': '2100.2.d.a.1301.2', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40908182
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 41, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355556, 'target_is_minimal': True, 'target_label': '420.2.d.b.41.1', 'target_level': 420, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 40908183
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511142513051700, 'target_is_minimal': False, 'target_label': '2100.2.f.d.1049.4', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 40908184
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 881, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513051280, 'target_is_minimal': False, 'target_label': '1680.2.f.d.881.2', 'target_level': 1680, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40908185
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007542885681204, 'target_is_minimal': False, 'target_label': '2100.2.f.c.1049.4', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 40908186
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 41, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805819355556, 'target_is_minimal': True, 'target_label': '420.2.d.b.41.2', 'target_level': 420, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 40908187
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191986740, 'target_is_minimal': False, 'target_label': '2100.2.d.a.1301.1', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 40908188
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513051700, 'target_is_minimal': False, 'target_label': '2100.2.f.d.1049.2', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 40908189
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 881, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343630939792, 'target_is_minimal': False, 'target_label': '1680.2.f.a.881.2', 'target_level': 1680, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 40908190
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701468724, 'target_is_minimal': False, 'target_label': '2100.2.d.e.1301.1', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '105.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 40908191
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 41, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206191985060, 'target_is_minimal': True, 'target_label': '420.2.d.a.41.2', 'target_level': 420, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 40908192
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885681204, 'target_is_minimal': False, 'target_label': '2100.2.f.c.1049.1', 'target_level': 2100, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 2}
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id: 40908193
{'conductor': 140, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 881, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630939792, 'target_is_minimal': False, 'target_label': '1680.2.f.a.881.1', 'target_level': 1680, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '140.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 40908194
{'conductor': 420, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542885681204, 'source_is_minimal': False, 'source_label': '2100.2.f.c.1049.2', 'source_level': 2100, 'target_conrey_index': 881, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511142513051280, 'target_is_minimal': False, 'target_label': '1680.2.f.d.881.1', 'target_level': 1680, 'twist_class_label': '420.2.d.a.41.1', 'twist_class_level': 420, 'twisting_char_label': '420.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2422300
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007542885681204, 'p': 2}
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id: 2422301
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 9007542885681204, 'p': 3}
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id: 2422302
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007542885681204, 'p': 5}
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id: 2422303
{'charpoly_factorization': [[[49, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 9007542885681204, 'p': 7}
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id: 2422304
{'charpoly_factorization': [[[27, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 11}
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id: 2422305
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 13}
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id: 2422306
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 17}
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id: 2422307
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 19}
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id: 2422308
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007542885681204, 'p': 23}
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id: 2422309
{'charpoly_factorization': [[[27, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 29}
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id: 2422310
{'charpoly_factorization': [[[108, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 31}
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id: 2422311
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 37}
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id: 2422312
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 9007542885681204, 'p': 41}
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id: 2422313
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 43}
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id: 2422314
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 47}
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id: 2422315
{'charpoly_factorization': [[[-108, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 53}
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id: 2422316
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 9007542885681204, 'p': 59}
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id: 2422317
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 61}
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id: 2422318
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 67}
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id: 2422319
{'charpoly_factorization': [[[108, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 71}
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id: 2422320
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 73}
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id: 2422321
{'charpoly_factorization': [[[-13, 1], 4]], 'hecke_orbit_code': 9007542885681204, 'p': 79}
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id: 2422322
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 83}
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id: 2422323
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007542885681204, 'p': 89}
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id: 2422324
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 9007542885681204, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 3, 'label': '2100.2.f.c', 'level': 2100, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 119043000
{'hecke_orbit_code': 9007542885681204, 'n': 1, 'trace_an': 4}
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id: 119043001
{'hecke_orbit_code': 9007542885681204, 'n': 2, 'trace_an': 0}
-
id: 119043002
{'hecke_orbit_code': 9007542885681204, 'n': 3, 'trace_an': 0}
-
id: 119043003
{'hecke_orbit_code': 9007542885681204, 'n': 4, 'trace_an': 0}
-
id: 119043004
{'hecke_orbit_code': 9007542885681204, 'n': 5, 'trace_an': 0}
-
id: 119043005
{'hecke_orbit_code': 9007542885681204, 'n': 6, 'trace_an': 0}
-
id: 119043006
{'hecke_orbit_code': 9007542885681204, 'n': 7, 'trace_an': 0}
-
id: 119043007
{'hecke_orbit_code': 9007542885681204, 'n': 8, 'trace_an': 0}
-
id: 119043008
{'hecke_orbit_code': 9007542885681204, 'n': 9, 'trace_an': -6}
-
id: 119043009
{'hecke_orbit_code': 9007542885681204, 'n': 10, 'trace_an': 0}
-
id: 119043010
{'hecke_orbit_code': 9007542885681204, 'n': 11, 'trace_an': 0}
-
id: 119043011
{'hecke_orbit_code': 9007542885681204, 'n': 12, 'trace_an': 0}
-
id: 119043012
{'hecke_orbit_code': 9007542885681204, 'n': 13, 'trace_an': 0}
-
id: 119043013
{'hecke_orbit_code': 9007542885681204, 'n': 14, 'trace_an': 0}
-
id: 119043014
{'hecke_orbit_code': 9007542885681204, 'n': 15, 'trace_an': 0}
-
id: 119043015
{'hecke_orbit_code': 9007542885681204, 'n': 16, 'trace_an': 0}
-
id: 119043016
{'hecke_orbit_code': 9007542885681204, 'n': 17, 'trace_an': 0}
-
id: 119043017
{'hecke_orbit_code': 9007542885681204, 'n': 18, 'trace_an': 0}
-
id: 119043018
{'hecke_orbit_code': 9007542885681204, 'n': 19, 'trace_an': 0}
-
id: 119043019
{'hecke_orbit_code': 9007542885681204, 'n': 20, 'trace_an': 0}
-
id: 119043020
{'hecke_orbit_code': 9007542885681204, 'n': 21, 'trace_an': -6}
-
id: 119043021
{'hecke_orbit_code': 9007542885681204, 'n': 22, 'trace_an': 0}
-
id: 119043022
{'hecke_orbit_code': 9007542885681204, 'n': 23, 'trace_an': 0}
-
id: 119043023
{'hecke_orbit_code': 9007542885681204, 'n': 24, 'trace_an': 0}
-
id: 119043024
{'hecke_orbit_code': 9007542885681204, 'n': 25, 'trace_an': 0}
-
id: 119043025
{'hecke_orbit_code': 9007542885681204, 'n': 26, 'trace_an': 0}
-
id: 119043026
{'hecke_orbit_code': 9007542885681204, 'n': 27, 'trace_an': 0}
-
id: 119043027
{'hecke_orbit_code': 9007542885681204, 'n': 28, 'trace_an': 0}
-
id: 119043028
{'hecke_orbit_code': 9007542885681204, 'n': 29, 'trace_an': 0}
-
id: 119043029
{'hecke_orbit_code': 9007542885681204, 'n': 30, 'trace_an': 0}
-
id: 119043030
{'hecke_orbit_code': 9007542885681204, 'n': 31, 'trace_an': 0}
-
id: 119043031
{'hecke_orbit_code': 9007542885681204, 'n': 32, 'trace_an': 0}
-
id: 119043032
{'hecke_orbit_code': 9007542885681204, 'n': 33, 'trace_an': 0}
-
id: 119043033
{'hecke_orbit_code': 9007542885681204, 'n': 34, 'trace_an': 0}
-
id: 119043034
{'hecke_orbit_code': 9007542885681204, 'n': 35, 'trace_an': 0}
-
id: 119043035
{'hecke_orbit_code': 9007542885681204, 'n': 36, 'trace_an': 0}
-
id: 119043036
{'hecke_orbit_code': 9007542885681204, 'n': 37, 'trace_an': 0}
-
id: 119043037
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