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mf_newforms • Show schema
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 28, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 71, 'char_orbit_label': 'cs', 'char_order': 6, 'char_parity': 1, 'char_values': [1008, 6, [127, 757, 785, 577], [3, 6, 6, 5]], 'cm_discs': [], 'conrey_index': 271, 'conrey_indexes': [271, 703], 'dim': 4, 'field_disc': 225, 'field_disc_factorization': [[3, 2], [5, 2]], 'field_poly': [1, 1, 2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [225, 0, -15, 0, 1]], [11, [225, 0, -15, 0, 1]], [13, [12, 0, 1]], [17, [0, 1]], [19, [16, 4, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63055205180113904, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 12, 'hecke_ring_index_factorization': [[2, 2], [3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 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mf_hecke_cc • Show schema
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15, 'hecke_orbit_code': 63055205180113904, 'label': '1008.2.cs.o.271.2', 'level': 1008, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'char_conductor': 28, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 71, 'char_orbit_label': 'cs', 'char_order': 6, 'char_parity': 1, 'char_values': [1008, 6, [127, 757, 785, 577], [3, 6, 6, 5]], 'conrey_index': 271, 'cusp_dim': 336, 'dim': 40, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17, 19], 'hecke_orbit_code': 4810396926960, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], 'label': '1008.2.cs', 'level': 1008, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 432, 'mf_new_dim': 40, 'num_forms': 17, 'prim_orbit_index': 6, 'relative_dim': 20, 'sturm_bound': 384, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 47885583
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 271, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63055205180113904, 'target_is_minimal': True, 'target_label': '1008.2.cs.o.271.2', 'target_level': 1008, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47885584
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 271, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63055205180113904, 'target_is_minimal': True, 'target_label': '1008.2.cs.o.271.1', 'target_level': 1008, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47885585
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 271, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67558804807484400, 'target_is_minimal': True, 'target_label': '1008.2.cs.p.271.2', 'target_level': 1008, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47885586
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 1567, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575660927818640, 'target_is_minimal': False, 'target_label': '7056.2.b.v.1567.2', 'target_level': 7056, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47885587
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 703, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67558804807484400, 'target_is_minimal': True, 'target_label': '1008.2.cs.p.703.2', 'target_level': 1008, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47885588
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 1567, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050463536225168, 'target_is_minimal': False, 'target_label': '7056.2.b.o.1567.3', 'target_level': 7056, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47885589
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 271, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67558804807484400, 'target_is_minimal': True, 'target_label': '1008.2.cs.p.271.1', 'target_level': 1008, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47885590
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 1567, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94575660927818640, 'target_is_minimal': False, 'target_label': '7056.2.b.v.1567.4', 'target_level': 7056, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47885591
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 1567, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050463536225168, 'target_is_minimal': False, 'target_label': '7056.2.b.o.1567.1', 'target_level': 7056, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47885592
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 703, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67558804807484400, 'target_is_minimal': True, 'target_label': '1008.2.cs.p.703.1', 'target_level': 1008, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47885593
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 703, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63055205180113904, 'target_is_minimal': True, 'target_label': '1008.2.cs.o.703.2', 'target_level': 1008, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47885594
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 1567, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 94575660927818640, 'target_is_minimal': False, 'target_label': '7056.2.b.v.1567.3', 'target_level': 7056, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47885595
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 1567, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050463536225168, 'target_is_minimal': False, 'target_label': '7056.2.b.o.1567.2', 'target_level': 7056, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47885596
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 1567, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050463536225168, 'target_is_minimal': False, 'target_label': '7056.2.b.o.1567.4', 'target_level': 7056, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47885597
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 1567, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575660927818640, 'target_is_minimal': False, 'target_label': '7056.2.b.v.1567.1', 'target_level': 7056, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 47885598
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 271, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63055205180113904, 'source_is_minimal': True, 'source_label': '1008.2.cs.o.271.2', 'source_level': 1008, 'target_conrey_index': 703, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63055205180113904, 'target_is_minimal': True, 'target_label': '1008.2.cs.o.703.1', 'target_level': 1008, 'twist_class_label': '1008.2.cs.o.271.1', 'twist_class_level': 1008, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1592225
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 63055205180113904, 'p': 2}
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id: 1592226
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 63055205180113904, 'p': 3}
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id: 1592227
{'charpoly_factorization': [[[225, 0, -15, 0, 1], 1]], 'hecke_orbit_code': 63055205180113904, 'p': 5}
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id: 1592228
{'charpoly_factorization': [[[7, 5, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 7}
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id: 1592229
{'charpoly_factorization': [[[225, 0, -15, 0, 1], 1]], 'hecke_orbit_code': 63055205180113904, 'p': 11}
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id: 1592230
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 13}
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id: 1592231
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 63055205180113904, 'p': 17}
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id: 1592232
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 19}
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id: 1592233
{'charpoly_factorization': [[[3600, 0, -60, 0, 1], 1]], 'hecke_orbit_code': 63055205180113904, 'p': 23}
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id: 1592234
{'charpoly_factorization': [[[-45, 0, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 29}
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id: 1592235
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 31}
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id: 1592236
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 37}
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id: 1592237
{'charpoly_factorization': [[[60, 0, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 41}
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id: 1592238
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 43}
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id: 1592239
{'charpoly_factorization': [[[32400, 0, 180, 0, 1], 1]], 'hecke_orbit_code': 63055205180113904, 'p': 47}
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id: 1592240
{'charpoly_factorization': [[[2025, 0, 45, 0, 1], 1]], 'hecke_orbit_code': 63055205180113904, 'p': 53}
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id: 1592241
{'charpoly_factorization': [[[2025, 0, 45, 0, 1], 1]], 'hecke_orbit_code': 63055205180113904, 'p': 59}
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id: 1592242
{'charpoly_factorization': [[[108, -18, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 61}
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id: 1592243
{'charpoly_factorization': [[[48, -12, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 67}
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id: 1592244
{'charpoly_factorization': [[[60, 0, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 71}
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id: 1592245
{'charpoly_factorization': [[[48, 12, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 73}
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id: 1592246
{'charpoly_factorization': [[[147, 21, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 79}
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id: 1592247
{'charpoly_factorization': [[[-45, 0, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 83}
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id: 1592248
{'charpoly_factorization': [[[3600, 0, -60, 0, 1], 1]], 'hecke_orbit_code': 63055205180113904, 'p': 89}
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id: 1592249
{'charpoly_factorization': [[[27, 0, 1], 2]], 'hecke_orbit_code': 63055205180113904, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 71, 'hecke_orbit': 15, 'label': '1008.2.cs.o', 'level': 1008, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 233925000
{'hecke_orbit_code': 63055205180113904, 'n': 1, 'trace_an': 4}
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id: 233925001
{'hecke_orbit_code': 63055205180113904, 'n': 2, 'trace_an': 0}
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id: 233925002
{'hecke_orbit_code': 63055205180113904, 'n': 3, 'trace_an': 0}
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id: 233925003
{'hecke_orbit_code': 63055205180113904, 'n': 4, 'trace_an': 0}
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id: 233925004
{'hecke_orbit_code': 63055205180113904, 'n': 5, 'trace_an': 0}
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id: 233925005
{'hecke_orbit_code': 63055205180113904, 'n': 6, 'trace_an': 0}
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id: 233925006
{'hecke_orbit_code': 63055205180113904, 'n': 7, 'trace_an': -10}
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id: 233925007
{'hecke_orbit_code': 63055205180113904, 'n': 8, 'trace_an': 0}
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id: 233925008
{'hecke_orbit_code': 63055205180113904, 'n': 9, 'trace_an': 0}
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id: 233925009
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{'hecke_orbit_code': 63055205180113904, 'n': 995, 'trace_an': 0}
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id: 233925995
{'hecke_orbit_code': 63055205180113904, 'n': 996, 'trace_an': 0}
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id: 233925996
{'hecke_orbit_code': 63055205180113904, 'n': 997, 'trace_an': -192}
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id: 233925997
{'hecke_orbit_code': 63055205180113904, 'n': 998, 'trace_an': 0}
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id: 233925998
{'hecke_orbit_code': 63055205180113904, 'n': 999, 'trace_an': 0}
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id: 233925999
{'hecke_orbit_code': 63055205180113904, 'n': 1000, 'trace_an': 0}