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mf_newforms • Show schema
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{'Nk2': 616, 'analytic_conductor': 1.229696191127718, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [154, 3, [45, 57], [1, 3]], 'cm_discs': [], 'conrey_index': 23, 'conrey_indexes': [23, 67], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 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': [[3, [1, 2, 5, -2, 1]], [13, [-7, 2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014673420943514, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '154.2.e.e', 'level': 154, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 7, 11], 'level_radical': 154, 'minimal_twist': '154.2.e.e', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{2}q^{2}+(1+\\beta _{1}+\\beta _{2})q^{3}+(-1-\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '154.2.e', 'trace_display': [-2, 2, 4, -2], 'trace_hash': 79149632208327573, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.763', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.678', 'prec': 17}, {'__RealLiteral__': 0, 'data': '52.796', 'prec': 20}, {'__RealLiteral__': 0, 'data': '36.843', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 616, 'analytic_conductor': 1.229696191127718, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [154, 3, [45, 57], [1, 3]], 'conrey_index': 23, 'cusp_dim': 40, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13], 'hecke_orbit_code': 274911461530, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4], 'label': '154.2.e', 'level': 154, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 7, 11], 'level_radical': 154, 'mf_dim': 56, 'mf_new_dim': 16, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 8, 'sturm_bound': 48, 'trace_bound': 3, 'trace_display': [0, 0, 4, -8], 'traces': [16, 0, 0, -8, 4, 8, -8, 0, -16, 0, 0, 0, 8, -8, 8, -8, -12, 8, 0, -8, 16, 0, 16, -4, -8, 12, -24, 4, 8, -8, 4, 0, 4, -8, 4, 32, 8, 4, 4, 0, -24, -20, -40, 0, -4, -4, -16, 0, 16, -32, 12, -4, 36, -16, 0, 4, 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mf_twists_cc • Show schema
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id: 44275731
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 23, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943514, 'target_is_minimal': True, 'target_label': '154.2.e.e.23.2', 'target_level': 154, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44275732
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 793, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85569080148362602, 'target_is_minimal': False, 'target_label': '1386.2.k.t.793.2', 'target_level': 1386, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44275733
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 177, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519097682035920, 'target_is_minimal': False, 'target_label': '1232.2.q.f.177.1', 'target_level': 1232, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44275734
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953594934, 'target_is_minimal': False, 'target_label': '1078.2.a.t.1.1', 'target_level': 1078, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44275735
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043470439908406, 'target_is_minimal': False, 'target_label': '1078.2.e.m.67.1', 'target_level': 1078, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44275736
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943514, 'target_is_minimal': True, 'target_label': '154.2.e.e.67.2', 'target_level': 154, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44275737
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463076918, 'target_is_minimal': False, 'target_label': '1078.2.a.x.1.2', 'target_level': 1078, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44275738
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 177, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043470439908406, 'target_is_minimal': False, 'target_label': '1078.2.e.m.177.1', 'target_level': 1078, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 44275739
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 337769972086351334, 'target_is_minimal': False, 'target_label': '9702.2.a.cx.1.1', 'target_level': 9702, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44275740
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 265712378048423398, 'target_is_minimal': False, 'target_label': '9702.2.a.ch.1.2', 'target_level': 9702, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44275741
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85569080148362602, 'target_is_minimal': False, 'target_label': '1386.2.k.t.991.2', 'target_level': 1386, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44275742
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 529, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519097682035920, 'target_is_minimal': False, 'target_label': '1232.2.q.f.529.1', 'target_level': 1232, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44275743
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787736789424, 'target_is_minimal': False, 'target_label': '8624.2.a.bh.1.1', 'target_level': 8624, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 44275744
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014673420943514, 'source_is_minimal': True, 'source_label': '154.2.e.e.23.2', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 243194379911569840, 'target_is_minimal': False, 'target_label': '8624.2.a.cc.1.2', 'target_level': 8624, 'twist_class_label': '154.2.e.e.23.2', 'twist_class_level': 154, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 410425
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 18014673420943514, 'p': 2}
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id: 410426
{'charpoly_factorization': [[[1, 2, 5, -2, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 3}
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id: 410427
{'charpoly_factorization': [[[4, -8, 14, -4, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 5}
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id: 410428
{'charpoly_factorization': [[[49, 14, -3, 2, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 7}
-
id: 410429
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 18014673420943514, 'p': 11}
-
id: 410430
{'charpoly_factorization': [[[-7, 2, 1], 2]], 'hecke_orbit_code': 18014673420943514, 'p': 13}
-
id: 410431
{'charpoly_factorization': [[[784, 112, 44, -4, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 17}
-
id: 410432
{'charpoly_factorization': [[[4, -8, 14, -4, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 19}
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id: 410433
{'charpoly_factorization': [[[196, 56, 30, -4, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 23}
-
id: 410434
{'charpoly_factorization': [[[-23, 6, 1], 2]], 'hecke_orbit_code': 18014673420943514, 'p': 29}
-
id: 410435
{'charpoly_factorization': [[[16, -4, 1], 2]], 'hecke_orbit_code': 18014673420943514, 'p': 31}
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id: 410436
{'charpoly_factorization': [[[3844, -992, 194, -16, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 37}
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id: 410437
{'charpoly_factorization': [[[14, 8, 1], 2]], 'hecke_orbit_code': 18014673420943514, 'p': 41}
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id: 410438
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 18014673420943514, 'p': 43}
-
id: 410439
{'charpoly_factorization': [[[4624, 272, 84, -4, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 47}
-
id: 410440
{'charpoly_factorization': [[[8836, 376, 110, -4, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 53}
-
id: 410441
{'charpoly_factorization': [[[2209, -658, 149, -14, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 59}
-
id: 410442
{'charpoly_factorization': [[[5329, 1314, 251, 18, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 61}
-
id: 410443
{'charpoly_factorization': [[[961, 434, 165, 14, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 67}
-
id: 410444
{'charpoly_factorization': [[[-34, 8, 1], 2]], 'hecke_orbit_code': 18014673420943514, 'p': 71}
-
id: 410445
{'charpoly_factorization': [[[3844, -992, 194, -16, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 73}
-
id: 410446
{'charpoly_factorization': [[[3969, -1134, 261, -18, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 79}
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id: 410447
{'charpoly_factorization': [[[-196, -4, 1], 2]], 'hecke_orbit_code': 18014673420943514, 'p': 83}
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id: 410448
{'charpoly_factorization': [[[3136, -448, 120, 8, 1], 1]], 'hecke_orbit_code': 18014673420943514, 'p': 89}
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id: 410449
{'charpoly_factorization': [[[-7, 2, 1], 2]], 'hecke_orbit_code': 18014673420943514, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 5, 'label': '154.2.e.e', 'level': 154, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 158252000
{'hecke_orbit_code': 18014673420943514, 'n': 1, 'trace_an': 4}
-
id: 158252001
{'hecke_orbit_code': 18014673420943514, 'n': 2, 'trace_an': -2}
-
id: 158252002
{'hecke_orbit_code': 18014673420943514, 'n': 3, 'trace_an': 2}
-
id: 158252003
{'hecke_orbit_code': 18014673420943514, 'n': 4, 'trace_an': -2}
-
id: 158252004
{'hecke_orbit_code': 18014673420943514, 'n': 5, 'trace_an': 4}
-
id: 158252005
{'hecke_orbit_code': 18014673420943514, 'n': 6, 'trace_an': -4}
-
id: 158252006
{'hecke_orbit_code': 18014673420943514, 'n': 7, 'trace_an': -2}
-
id: 158252007
{'hecke_orbit_code': 18014673420943514, 'n': 8, 'trace_an': 4}
-
id: 158252008
{'hecke_orbit_code': 18014673420943514, 'n': 9, 'trace_an': 0}
-
id: 158252009
{'hecke_orbit_code': 18014673420943514, 'n': 10, 'trace_an': 4}
-
id: 158252010
{'hecke_orbit_code': 18014673420943514, 'n': 11, 'trace_an': -2}
-
id: 158252011
{'hecke_orbit_code': 18014673420943514, 'n': 12, 'trace_an': 2}
-
id: 158252012
{'hecke_orbit_code': 18014673420943514, 'n': 13, 'trace_an': -4}
-
id: 158252013
{'hecke_orbit_code': 18014673420943514, 'n': 14, 'trace_an': -2}
-
id: 158252014
{'hecke_orbit_code': 18014673420943514, 'n': 15, 'trace_an': 0}
-
id: 158252015
{'hecke_orbit_code': 18014673420943514, 'n': 16, 'trace_an': -2}
-
id: 158252016
{'hecke_orbit_code': 18014673420943514, 'n': 17, 'trace_an': 4}
-
id: 158252017
{'hecke_orbit_code': 18014673420943514, 'n': 18, 'trace_an': 0}
-
id: 158252018
{'hecke_orbit_code': 18014673420943514, 'n': 19, 'trace_an': 4}
-
id: 158252019
{'hecke_orbit_code': 18014673420943514, 'n': 20, 'trace_an': -8}
-
id: 158252020
{'hecke_orbit_code': 18014673420943514, 'n': 21, 'trace_an': -4}
-
id: 158252021
{'hecke_orbit_code': 18014673420943514, 'n': 22, 'trace_an': 4}
-
id: 158252022
{'hecke_orbit_code': 18014673420943514, 'n': 23, 'trace_an': 4}
-
id: 158252023
{'hecke_orbit_code': 18014673420943514, 'n': 24, 'trace_an': 2}
-
id: 158252024
{'hecke_orbit_code': 18014673420943514, 'n': 25, 'trace_an': -2}
-
id: 158252025
{'hecke_orbit_code': 18014673420943514, 'n': 26, 'trace_an': 2}
-
id: 158252026
{'hecke_orbit_code': 18014673420943514, 'n': 27, 'trace_an': -4}
-
id: 158252027
{'hecke_orbit_code': 18014673420943514, 'n': 28, 'trace_an': 4}
-
id: 158252028
{'hecke_orbit_code': 18014673420943514, 'n': 29, 'trace_an': -12}
-
id: 158252029
{'hecke_orbit_code': 18014673420943514, 'n': 30, 'trace_an': 0}
-
id: 158252030
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id: 158252990
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id: 158252991
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id: 158252992
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id: 158252993
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id: 158252994
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id: 158252996
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id: 158252997
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id: 158252998
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id: 158252999
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