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mf_newforms • Show schema
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{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4608, 2, [3583, 2053, 4097], [2, 1, 2]], 'cm_discs': [-24], 'conrey_index': 2305, 'conrey_indexes': [2305], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 20, 0, 1]], [7, [100, 0, -28, 0, 1]], [17, [0, 1]], [23, [0, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057800229917184, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 262144, 'hecke_ring_index_factorization': [[2, 18]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4608, 2, [3583, 2053, 4097], [2, 1, 2]], 'conrey_index': 2305, 'cusp_dim': 704, 'dim': 80, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17, 23], 'hecke_orbit_code': 206191989248, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8], 'label': '4608.2.d', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 832, 'mf_new_dim': 80, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 80, 'sturm_bound': 1536, 'trace_bound': 25, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 48062527
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.3', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48062528
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.5', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48062529
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.4', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48062530
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.6', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48062531
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.5', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48062532
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.6', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48062533
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599932928, 'target_is_minimal': True, 'target_label': '4608.2.a.bc.1.1', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48062534
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 81064793326227968, 'target_is_minimal': True, 'target_label': '4608.2.a.s.1.4', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48062535
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326227968, 'target_is_minimal': True, 'target_label': '4608.2.a.s.1.3', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48062536
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599932928, 'target_is_minimal': True, 'target_label': '4608.2.a.bc.1.2', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48062537
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.3', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48062538
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.4', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48062539
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599932928, 'target_is_minimal': True, 'target_label': '4608.2.a.bc.1.2', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48062540
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599932928, 'target_is_minimal': True, 'target_label': '4608.2.a.bc.1.1', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48062541
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 81064793326227968, 'target_is_minimal': True, 'target_label': '4608.2.a.s.1.4', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48062542
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2305, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 72057800229917184, 'source_is_minimal': False, 'source_label': '4608.2.d.q.2305.3', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326227968, 'target_is_minimal': True, 'target_label': '4608.2.a.s.1.3', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.3', 'twist_class_level': 4608, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3651175
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 2}
-
id: 3651176
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 3}
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id: 3651177
{'charpoly_factorization': [[[4, 0, 20, 0, 1], 2]], 'hecke_orbit_code': 72057800229917184, 'p': 5}
-
id: 3651178
{'charpoly_factorization': [[[100, 0, -28, 0, 1], 2]], 'hecke_orbit_code': 72057800229917184, 'p': 7}
-
id: 3651179
{'charpoly_factorization': [[[12, 0, 1], 4]], 'hecke_orbit_code': 72057800229917184, 'p': 11}
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id: 3651180
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 13}
-
id: 3651181
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 17}
-
id: 3651182
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 19}
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id: 3651183
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 23}
-
id: 3651184
{'charpoly_factorization': [[[2500, 0, 116, 0, 1], 2]], 'hecke_orbit_code': 72057800229917184, 'p': 29}
-
id: 3651185
{'charpoly_factorization': [[[1444, 0, -124, 0, 1], 2]], 'hecke_orbit_code': 72057800229917184, 'p': 31}
-
id: 3651186
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 37}
-
id: 3651187
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 41}
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id: 3651188
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 43}
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id: 3651189
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 47}
-
id: 3651190
{'charpoly_factorization': [[[8836, 0, 212, 0, 1], 2]], 'hecke_orbit_code': 72057800229917184, 'p': 53}
-
id: 3651191
{'charpoly_factorization': [[[128, 0, 1], 4]], 'hecke_orbit_code': 72057800229917184, 'p': 59}
-
id: 3651192
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 61}
-
id: 3651193
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 67}
-
id: 3651194
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 71}
-
id: 3651195
{'charpoly_factorization': [[[-96, 0, 1], 4]], 'hecke_orbit_code': 72057800229917184, 'p': 73}
-
id: 3651196
{'charpoly_factorization': [[[3364, 0, -316, 0, 1], 2]], 'hecke_orbit_code': 72057800229917184, 'p': 79}
-
id: 3651197
{'charpoly_factorization': [[[300, 0, 1], 4]], 'hecke_orbit_code': 72057800229917184, 'p': 83}
-
id: 3651198
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 89}
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id: 3651199
{'charpoly_factorization': [[[2, 1], 8]], 'hecke_orbit_code': 72057800229917184, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 17, 'label': '4608.2.d.q', 'level': 4608, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 240484000
{'hecke_orbit_code': 72057800229917184, 'n': 1, 'trace_an': 8}
-
id: 240484001
{'hecke_orbit_code': 72057800229917184, 'n': 2, 'trace_an': 0}
-
id: 240484002
{'hecke_orbit_code': 72057800229917184, 'n': 3, 'trace_an': 0}
-
id: 240484003
{'hecke_orbit_code': 72057800229917184, 'n': 4, 'trace_an': 0}
-
id: 240484004
{'hecke_orbit_code': 72057800229917184, 'n': 5, 'trace_an': 0}
-
id: 240484005
{'hecke_orbit_code': 72057800229917184, 'n': 6, 'trace_an': 0}
-
id: 240484006
{'hecke_orbit_code': 72057800229917184, 'n': 7, 'trace_an': 0}
-
id: 240484007
{'hecke_orbit_code': 72057800229917184, 'n': 8, 'trace_an': 0}
-
id: 240484008
{'hecke_orbit_code': 72057800229917184, 'n': 9, 'trace_an': 0}
-
id: 240484009
{'hecke_orbit_code': 72057800229917184, 'n': 10, 'trace_an': 0}
-
id: 240484010
{'hecke_orbit_code': 72057800229917184, 'n': 11, 'trace_an': 0}
-
id: 240484011
{'hecke_orbit_code': 72057800229917184, 'n': 12, 'trace_an': 0}
-
id: 240484012
{'hecke_orbit_code': 72057800229917184, 'n': 13, 'trace_an': 0}
-
id: 240484013
{'hecke_orbit_code': 72057800229917184, 'n': 14, 'trace_an': 0}
-
id: 240484014
{'hecke_orbit_code': 72057800229917184, 'n': 15, 'trace_an': 0}
-
id: 240484015
{'hecke_orbit_code': 72057800229917184, 'n': 16, 'trace_an': 0}
-
id: 240484016
{'hecke_orbit_code': 72057800229917184, 'n': 17, 'trace_an': 0}
-
id: 240484017
{'hecke_orbit_code': 72057800229917184, 'n': 18, 'trace_an': 0}
-
id: 240484018
{'hecke_orbit_code': 72057800229917184, 'n': 19, 'trace_an': 0}
-
id: 240484019
{'hecke_orbit_code': 72057800229917184, 'n': 20, 'trace_an': 0}
-
id: 240484020
{'hecke_orbit_code': 72057800229917184, 'n': 21, 'trace_an': 0}
-
id: 240484021
{'hecke_orbit_code': 72057800229917184, 'n': 22, 'trace_an': 0}
-
id: 240484022
{'hecke_orbit_code': 72057800229917184, 'n': 23, 'trace_an': 0}
-
id: 240484023
{'hecke_orbit_code': 72057800229917184, 'n': 24, 'trace_an': 0}
-
id: 240484024
{'hecke_orbit_code': 72057800229917184, 'n': 25, 'trace_an': -40}
-
id: 240484025
{'hecke_orbit_code': 72057800229917184, 'n': 26, 'trace_an': 0}
-
id: 240484026
{'hecke_orbit_code': 72057800229917184, 'n': 27, 'trace_an': 0}
-
id: 240484027
{'hecke_orbit_code': 72057800229917184, 'n': 28, 'trace_an': 0}
-
id: 240484028
{'hecke_orbit_code': 72057800229917184, 'n': 29, 'trace_an': 0}
-
id: 240484029
{'hecke_orbit_code': 72057800229917184, 'n': 30, 'trace_an': 0}
-
id: 240484030
{'hecke_orbit_code': 72057800229917184, 'n': 31, 'trace_an': 0}
-
id: 240484031
{'hecke_orbit_code': 72057800229917184, 'n': 32, 'trace_an': 0}
-
id: 240484032
{'hecke_orbit_code': 72057800229917184, 'n': 33, 'trace_an': 0}
-
id: 240484033
{'hecke_orbit_code': 72057800229917184, 'n': 34, 'trace_an': 0}
-
id: 240484034
{'hecke_orbit_code': 72057800229917184, 'n': 35, 'trace_an': 0}
-
id: 240484035
{'hecke_orbit_code': 72057800229917184, 'n': 36, 'trace_an': 0}
-
id: 240484036
{'hecke_orbit_code': 72057800229917184, 'n': 37, 'trace_an': 0}
-
id: 240484037
{'hecke_orbit_code': 72057800229917184, 'n': 38, 'trace_an': 0}
-
id: 240484038
{'hecke_orbit_code': 72057800229917184, 'n': 39, 'trace_an': 0}
-
id: 240484039
{'hecke_orbit_code': 72057800229917184, 'n': 40, 'trace_an': 0}
-
id: 240484040
{'hecke_orbit_code': 72057800229917184, 'n': 41, 'trace_an': 0}
-
id: 240484041
{'hecke_orbit_code': 72057800229917184, 'n': 42, 'trace_an': 0}
-
id: 240484042
{'hecke_orbit_code': 72057800229917184, 'n': 43, 'trace_an': 0}
-
id: 240484043
{'hecke_orbit_code': 72057800229917184, 'n': 44, 'trace_an': 0}
-
id: 240484044
{'hecke_orbit_code': 72057800229917184, 'n': 45, 'trace_an': 0}
-
id: 240484045
{'hecke_orbit_code': 72057800229917184, 'n': 46, 'trace_an': 0}
-
id: 240484046
{'hecke_orbit_code': 72057800229917184, 'n': 47, 'trace_an': 0}
-
id: 240484047
{'hecke_orbit_code': 72057800229917184, 'n': 48, 'trace_an': 0}
-
id: 240484048
{'hecke_orbit_code': 72057800229917184, 'n': 49, 'trace_an': 56}
-
id: 240484049
{'hecke_orbit_code': 72057800229917184, 'n': 50, 'trace_an': 0}
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