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{'Nk2': 7200, 'analytic_conductor': 26.550859502583275, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [450, 1, [101, 127], [1, 1]], 'cm_discs': [], 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [14, 1]], [11, [6, 1]], [17, [-78, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321850306, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '450.4.a.c', 'level': 450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '90.4.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}+4q^{4}-14q^{7}-8q^{8}-6q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '450.4.a', 'trace_display': [-2, 0, 0, -14], 'trace_hash': 1014952344313838376, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.970', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.901', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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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
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id: 40428954
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321850306, 'target_is_minimal': False, 'target_label': '450.4.a.c.1.1', 'target_level': 450, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 40428955
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195595555266, 'target_is_minimal': False, 'target_label': '450.4.a.m.1.1', 'target_level': 450, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 40428956
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135642915266, 'target_is_minimal': False, 'target_label': '450.4.c.f.199.1', 'target_level': 450, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 40428957
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135642915266, 'target_is_minimal': False, 'target_label': '450.4.c.f.199.2', 'target_level': 450, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 40428958
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398576590938, 'target_is_minimal': True, 'target_label': '90.4.a.e.1.1', 'target_level': 90, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 40428959
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735270285762, 'target_is_minimal': False, 'target_label': '450.4.c.g.199.2', 'target_level': 450, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 40428960
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735270285762, 'target_is_minimal': False, 'target_label': '450.4.c.g.199.1', 'target_level': 450, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 40428961
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479450, 'target_is_minimal': True, 'target_label': '90.4.a.b.1.1', 'target_level': 90, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 40428962
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392987149008, 'target_is_minimal': False, 'target_label': '720.4.a.t.1.1', 'target_level': 720, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 40428963
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274945016618, 'target_is_minimal': False, 'target_label': '810.4.e.a.541.1', 'target_level': 810, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 40428964
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90072267492426538, 'target_is_minimal': False, 'target_label': '810.4.e.u.541.1', 'target_level': 810, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 40428965
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90072267492426538, 'target_is_minimal': False, 'target_label': '810.4.e.u.271.1', 'target_level': 810, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 40428966
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274945016618, 'target_is_minimal': False, 'target_label': '810.4.e.a.271.1', 'target_level': 810, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 40428967
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199321850306, 'source_is_minimal': False, 'source_label': '450.4.a.c.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398576591568, 'target_is_minimal': False, 'target_label': '720.4.a.e.1.1', 'target_level': 720, 'twist_class_label': '90.4.a.b.1.1', 'twist_class_level': 90, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 910500
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 2}
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id: 910501
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 3}
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id: 910502
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 5}
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id: 910503
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 7}
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id: 910504
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 11}
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id: 910505
{'charpoly_factorization': [[[68, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 13}
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id: 910506
{'charpoly_factorization': [[[-78, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 17}
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id: 910507
{'charpoly_factorization': [[[-44, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 19}
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id: 910508
{'charpoly_factorization': [[[-120, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 23}
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id: 910509
{'charpoly_factorization': [[[126, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 29}
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id: 910510
{'charpoly_factorization': [[[244, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 31}
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id: 910511
{'charpoly_factorization': [[[-304, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 37}
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id: 910512
{'charpoly_factorization': [[[-480, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 41}
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id: 910513
{'charpoly_factorization': [[[104, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 43}
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id: 910514
{'charpoly_factorization': [[[-600, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 47}
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id: 910515
{'charpoly_factorization': [[[258, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 53}
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id: 910516
{'charpoly_factorization': [[[534, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 59}
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id: 910517
{'charpoly_factorization': [[[-362, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 61}
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id: 910518
{'charpoly_factorization': [[[-268, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 67}
-
id: 910519
{'charpoly_factorization': [[[-972, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 71}
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id: 910520
{'charpoly_factorization': [[[470, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 73}
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id: 910521
{'charpoly_factorization': [[[-1244, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 79}
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id: 910522
{'charpoly_factorization': [[[-396, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 83}
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id: 910523
{'charpoly_factorization': [[[-972, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 89}
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id: 910524
{'charpoly_factorization': [[[-46, 1], 1]], 'hecke_orbit_code': 9007199321850306, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '450.4.a.c', 'level': 450, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 110074000
{'hecke_orbit_code': 9007199321850306, 'n': 1, 'trace_an': 1}
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id: 110074001
{'hecke_orbit_code': 9007199321850306, 'n': 2, 'trace_an': -2}
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id: 110074002
{'hecke_orbit_code': 9007199321850306, 'n': 3, 'trace_an': 0}
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id: 110074003
{'hecke_orbit_code': 9007199321850306, 'n': 4, 'trace_an': 4}
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id: 110074004
{'hecke_orbit_code': 9007199321850306, 'n': 5, 'trace_an': 0}
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id: 110074005
{'hecke_orbit_code': 9007199321850306, 'n': 6, 'trace_an': 0}
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id: 110074006
{'hecke_orbit_code': 9007199321850306, 'n': 7, 'trace_an': -14}
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id: 110074007
{'hecke_orbit_code': 9007199321850306, 'n': 8, 'trace_an': -8}
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id: 110074008
{'hecke_orbit_code': 9007199321850306, 'n': 9, 'trace_an': 0}
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id: 110074009
{'hecke_orbit_code': 9007199321850306, 'n': 10, 'trace_an': 0}
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id: 110074010
{'hecke_orbit_code': 9007199321850306, 'n': 11, 'trace_an': -6}
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id: 110074011
{'hecke_orbit_code': 9007199321850306, 'n': 12, 'trace_an': 0}
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id: 110074012
{'hecke_orbit_code': 9007199321850306, 'n': 13, 'trace_an': -68}
-
id: 110074013
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{'hecke_orbit_code': 9007199321850306, 'n': 994, 'trace_an': 27216}
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id: 110074994
{'hecke_orbit_code': 9007199321850306, 'n': 995, 'trace_an': 0}
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id: 110074995
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id: 110074996
{'hecke_orbit_code': 9007199321850306, 'n': 997, 'trace_an': 9052}
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id: 110074997
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id: 110074998
{'hecke_orbit_code': 9007199321850306, 'n': 999, 'trace_an': 0}
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id: 110074999
{'hecke_orbit_code': 9007199321850306, 'n': 1000, 'trace_an': 0}