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mf_newforms • Show schema
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{'Nk2': 1575, 'analytic_conductor': 0.7860273948969788, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, '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': [1575, 2, [1226, 127, 451], [2, 1, 1]], 'cm_discs': [-7], 'conrey_index': 874, 'conrey_indexes': [874], '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': [[2, [3, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474149426727, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, -7], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 1575, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.7860273948969788, 'char_conductor': 35, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': -1, 'char_values': [1575, 2, [1226, 127, 451], [2, 1, 1]], 'conrey_index': 874, 'cusp_dim': 14, 'dihedral_dim': 8, 'dim': 8, 'eis_dim': 24, 'eis_new_dim': 2, 'hecke_orbit_code': 274894685735, 'hecke_orbit_dims': [2, 2, 4], 'label': '1575.1.e', 'level': 1575, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'mf_dim': 38, 'mf_new_dim': 10, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 8, 's4_dim': 0, 'sturm_bound': 240, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, -6, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, -8, 0, 0, 0, 0, 0, 0, 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'weight_parity': -1}
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mf_twists_cc • Show schema
Hide schema
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id: 40804417
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474149426727, 'target_is_minimal': False, 'target_label': '1575.1.e.c.874.1', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 40804418
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474149426727, 'target_is_minimal': False, 'target_label': '1575.1.e.c.874.3', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 40804419
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 1126, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014879562597927, 'target_is_minimal': True, 'target_label': '1575.1.h.e.1126.2', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 40804420
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 1126, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511279935227431, 'target_is_minimal': True, 'target_label': '1575.1.h.d.1126.1', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 40804421
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007474149426727, 'target_is_minimal': False, 'target_label': '1575.1.e.c.874.4', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 40804422
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474149426727, 'target_is_minimal': False, 'target_label': '1575.1.e.c.874.1', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 1}
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id: 40804423
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 1126, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879562597927, 'target_is_minimal': True, 'target_label': '1575.1.h.e.1126.1', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 40804424
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 1126, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511279935227431, 'target_is_minimal': True, 'target_label': '1575.1.h.d.1126.2', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 1}
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id: 40804425
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474149426727, 'target_is_minimal': False, 'target_label': '1575.1.e.c.874.2', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 1}
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id: 40804426
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474149426727, 'target_is_minimal': False, 'target_label': '1575.1.e.c.874.3', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 1}
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id: 40804427
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 1126, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511279935227431, 'target_is_minimal': True, 'target_label': '1575.1.h.d.1126.1', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 1}
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id: 40804428
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 1126, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014879562597927, 'target_is_minimal': True, 'target_label': '1575.1.h.e.1126.2', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 1}
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id: 40804429
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007474149426727, 'target_is_minimal': False, 'target_label': '1575.1.e.c.874.4', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 1}
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id: 40804430
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 1126, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879562597927, 'target_is_minimal': True, 'target_label': '1575.1.h.e.1126.1', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '105.62', 'twisting_conrey_index': 62, 'weight': 1}
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id: 40804431
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 1126, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511279935227431, 'target_is_minimal': True, 'target_label': '1575.1.h.d.1126.2', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 1}
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id: 40804432
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 874, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474149426727, 'source_is_minimal': False, 'source_label': '1575.1.e.c.874.1', 'source_level': 1575, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474149426727, 'target_is_minimal': False, 'target_label': '1575.1.e.c.874.2', 'target_level': 1575, 'twist_class_label': '1575.1.h.d.1126.1', 'twist_class_level': 1575, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2047750
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 9007474149426727, 'p': 2}
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id: 2047751
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 3}
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id: 2047752
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 5}
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id: 2047753
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 9007474149426727, 'p': 7}
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id: 2047754
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 9007474149426727, 'p': 11}
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id: 2047755
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 13}
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id: 2047756
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 17}
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id: 2047757
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 19}
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id: 2047758
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 9007474149426727, 'p': 23}
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id: 2047759
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 9007474149426727, 'p': 29}
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id: 2047760
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 31}
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id: 2047761
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 9007474149426727, 'p': 37}
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id: 2047762
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 41}
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id: 2047763
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 9007474149426727, 'p': 43}
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id: 2047764
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 47}
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id: 2047765
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 53}
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id: 2047766
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 59}
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id: 2047767
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 61}
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id: 2047768
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 9007474149426727, 'p': 67}
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id: 2047769
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 9007474149426727, 'p': 71}
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id: 2047770
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 73}
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id: 2047771
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 79}
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id: 2047772
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 83}
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id: 2047773
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 89}
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id: 2047774
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007474149426727, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '1575.1.e.c', 'level': 1575, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 117857000
{'hecke_orbit_code': 9007474149426727, 'n': 1, 'trace_an': 4}
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id: 117857001
{'hecke_orbit_code': 9007474149426727, 'n': 2, 'trace_an': 0}
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id: 117857002
{'hecke_orbit_code': 9007474149426727, 'n': 3, 'trace_an': 0}
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id: 117857003
{'hecke_orbit_code': 9007474149426727, 'n': 4, 'trace_an': -8}
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id: 117857004
{'hecke_orbit_code': 9007474149426727, 'n': 5, 'trace_an': 0}
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id: 117857005
{'hecke_orbit_code': 9007474149426727, 'n': 6, 'trace_an': 0}
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id: 117857006
{'hecke_orbit_code': 9007474149426727, 'n': 7, 'trace_an': 0}
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id: 117857007
{'hecke_orbit_code': 9007474149426727, 'n': 8, 'trace_an': 0}
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id: 117857008
{'hecke_orbit_code': 9007474149426727, 'n': 9, 'trace_an': 0}
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id: 117857009
{'hecke_orbit_code': 9007474149426727, 'n': 10, 'trace_an': 0}
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id: 117857010
{'hecke_orbit_code': 9007474149426727, 'n': 11, 'trace_an': 0}
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id: 117857011
{'hecke_orbit_code': 9007474149426727, 'n': 12, 'trace_an': 0}
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id: 117857012
{'hecke_orbit_code': 9007474149426727, 'n': 13, 'trace_an': 0}
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id: 117857013
{'hecke_orbit_code': 9007474149426727, 'n': 14, 'trace_an': 0}
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id: 117857014
{'hecke_orbit_code': 9007474149426727, 'n': 15, 'trace_an': 0}
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id: 117857015
{'hecke_orbit_code': 9007474149426727, 'n': 16, 'trace_an': 4}
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id: 117857016
{'hecke_orbit_code': 9007474149426727, 'n': 17, 'trace_an': 0}
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id: 117857017
{'hecke_orbit_code': 9007474149426727, 'n': 18, 'trace_an': 0}
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id: 117857018
{'hecke_orbit_code': 9007474149426727, 'n': 19, 'trace_an': 0}
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id: 117857019
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