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mf_newforms • Show schema
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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, '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': [4600, 2, [1151, 2301, 2577, 1201], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 4049, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 0, 1]], [7, [9, 0, 1]], [11, [-5, 1]], [13, [25, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511073793577464, 'hecke_ring_generator_nbound': 7, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4600.2.e.d', 'level': 4600, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'minimal_twist': '4600.2.a.d', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+2 i q^{3}+3 i q^{7}-q^{9}+5 q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4600.2.e', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2287255096066148939, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.086', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.591', 'prec': 20}, 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mf_hecke_cc • Show schema
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'char_orbit_index': 5, 'conrey_index': 4049, 'dual_conrey_index': 4049, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 1.0, 'embedding_root_real': 0.0, 'hecke_orbit': 4, 'hecke_orbit_code': 13511073793577464, 'label': '4600.2.e.d.4049.2', 'level': 4600, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [4600, 2, [1151, 2301, 2577, 1201], [2, 2, 1, 2]], 'conrey_index': 4049, 'cusp_dim': 696, 'dim': 100, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 274911465976, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 8, 10, 10, 10], 'label': '4600.2.e', 'level': 4600, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'mf_dim': 744, 'mf_new_dim': 100, 'num_forms': 23, 'prim_orbit_index': 2, 'relative_dim': 100, 'sturm_bound': 1440, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 8, 0, 0, 0, 0, 0, 0, 0, -48, 0, 20, 0, 0, 0, 0, 0, 0, 0, -84, 0, 84, 0, 0, 0, 0, 0, 0, 0, 24, 0, -20, 0, 0, 0, 0, 0, 0, 0, -8, 0, 40, 0, 0, 0, 0, 0, 0, 0, 8, 0, 116, 0, 0, 0, 0, 0, 0, 0, 12, 0, -24, 0, 0, 0, 0, 0, 0, 0, -60, 0, -16, 0, 0, 0, 0, 0, 0, 0, 52, 0, -72, 0, 0, 0, 0, 0, 0, 0, 8, 0, 40, 0, 0, 0, 0, 0, 0, 0, 48, 0, -24, 0, 0, 0, 0, 0, 0, 0, 60, 0, -8, 0, 0, 0, 0, 0, 0, 0, -20, 0, 48, 0, 0, 0, 0, 0, 0, 0, 80, 0, 16, 0, 0, 0, 0, 0, 0, 0, -44, 0, 28, 0, 0, 0, 0, 0, 0, 0, 4, 0, -28, 0, 0, 0, 0, 0, 0, 0, 112, 0, -80, 0, 0, 0, 0, 0, 0, 0, -72, 0, -76, 0, 0, 0, 0, 0, 0, 0, 20, 0, -20, 0, 0, 0, 0, 0, 0, 0, 140, 0, -64, 0, 0, 0, 0, 0, 0, 0, 4, 0, -112, 0, 0, 0, 0, 0, 0, 0, 144, 0, -20, 0, 0, 0, 0, 0, 0, 0, 156, 0, -24, 0, 0, 0, 0, 0, 0, 0, -16, 0, 64, 0, 0, 0, 0, 0, 0, 0, -8, 0, 56, 0, 0, 0, 0, 0, 0, 0, 112, 0, -32, 0, 0, 0, 0, 0, 0, 0, -144, 0, 48, 0, 0, 0, 0, 0, 0, 0, 48, 0, -184, 0, 0, 0, 0, 0, 0, 0, -8, 0, -104, 0, 0, 0, 0, 0, 0, 0, -176, 0, -188, 0, 0, 0, 0, 0, 0, 0, 96, 0, 20, 0, 0, 0, 0, 0, 0, 0, 68, 0, -80, 0, 0, 0, 0, 0, 0, 0, 120, 0, 192, 0, 0, 0, 0, 0, 0, 0, 32, 0, 184, 0, 0, 0, 0, 0, 0, 0, -56, 0, -16, 0, 0, 0, 0, 0, 0, 0, -128, 0, -64, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, -44, 0, 0, 0, 0, 0, 0, 0, 100, 0, 300, 0, 0, 0, 0, 0, 0, 0, 8, 0, 84, 0, 0, 0, 0, 0, 0, 0, 96, 0, 56, 0, 0, 0, 0, 0, 0, 0, -56, 0, 88, 0, 0, 0, 0, 0, 0, 0, -180, 0, 52, 0, 0, 0, 0, 0, 0, 0, -324, 0, 8, 0, 0, 0, 0, 0, 0, 0, -264, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 52, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 40, 0, 0, 0, 0, 0, 0, 0, -32, 0, 160, 0, 0, 0, 0, 0, 0, 0, -144, 0, 52, 0, 0, 0, 0, 0, 0, 0, -100, 0, -152, 0, 0, 0, 0, 0, 0, 0, -24, 0, 152, 0, 0, 0, 0, 0, 0, 0, 300, 0, 120, 0, 0, 0, 0, 0, 0, 0, -56, 0, 148, 0, 0, 0, 0, 0, 0, 0, -92, 0, 220, 0, 0, 0, 0, 0, 0, 0, 84, 0, -96, 0, 0, 0, 0, 0, 0, 0, 40, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, 0, 0, 136, 0, -272, 0, 0, 0, 0, 0, 0, 0, 68, 0, 32, 0, 0, 0, 0, 0, 0, 0, 200, 0, -320, 0, 0, 0, 0, 0, 0, 0, -192, 0, -56, 0, 0, 0, 0, 0, 0, 0, 216, 0, 200, 0, 0, 0, 0, 0, 0, 0, -128, 0, 148, 0, 0, 0, 0, 0, 0, 0, -80, 0, 112, 0, 0, 0, 0, 0, 0, 0, 408, 0, -88, 0, 0, 0, 0, 0, 0, 0, 56, 0, -276, 0, 0, 0, 0, 0, 0, 0, 192, 0, 12, 0, 0, 0, 0, 0, 0, 0, -52, 0, -120, 0, 0, 0, 0, 0, 0, 0, -248, 0, -192, 0, 0, 0, 0, 0, 0, 0, -644, 0, 56, 0, 0, 0, 0, 0, 0, 0, 88, 0, -48, 0, 0, 0, 0, 0, 0, 0, -72, 0, 128, 0, 0, 0, 0, 0, 0, 0, 40, 0, 188, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, -260, 0, 72, 0, 0, 0, 0, 0, 0, 0, 72, 0, -256, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 176, 0, 0, 0, 0, 0, 0, 0, -128, 0, 192, 0, 0, 0, 0, 0, 0, 0, -48, 0, -112, 0, 0, 0, 0, 0, 0, 0, 32, 0, -20, 0, 0, 0, 0, 0, 0, 0, -396, 0, -60, 0, 0, 0, 0, 0, 0, 0, -148, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -296, 0, -8, 0, 0, 0, 0, 0, 0, 0, 184, 0, -344, 0, 0, 0, 0, 0, 0, 0, 416, 0, -224, 0, 0, 0, 0, 0, 0, 0, -208, 0, -416, 0, 0, 0, 0, 0, 0, 0, -128, 0, 252, 0, 0, 0, 0, 0, 0, 0, -192, 0, 24, 0, 0, 0, 0, 0, 0, 0, 8, 0, -260, 0, 0, 0, 0, 0, 0, 0, 160, 0, 216, 0, 0, 0, 0, 0, 0, 0, 360, 0, -340, 0, 0, 0, 0, 0, 0, 0, -44, 0, 184, 0, 0, 0, 0, 0, 0, 0, -4, 0, -92, 0, 0, 0, 0, 0, 0, 0, -60, 0, 136, 0, 0, 0, 0, 0, 0, 0, 64, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43206258
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793577464, 'source_is_minimal': False, 'source_label': '4600.2.e.d.4049.2', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793577464, 'target_is_minimal': False, 'target_label': '4600.2.e.d.4049.2', 'target_level': 4600, 'twist_class_label': '4600.2.a.d.1.1', 'twist_class_level': 4600, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43206259
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793577464, 'source_is_minimal': False, 'source_label': '4600.2.e.d.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562004984, 'target_is_minimal': True, 'target_label': '4600.2.a.m.1.1', 'target_level': 4600, 'twist_class_label': '4600.2.a.d.1.1', 'twist_class_level': 4600, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43206260
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793577464, 'source_is_minimal': False, 'source_label': '4600.2.e.d.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915670520, 'target_is_minimal': True, 'target_label': '4600.2.a.d.1.1', 'target_level': 4600, 'twist_class_label': '4600.2.a.d.1.1', 'twist_class_level': 4600, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43206261
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793577464, 'source_is_minimal': False, 'source_label': '4600.2.e.d.4049.2', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511073793577464, 'target_is_minimal': False, 'target_label': '4600.2.e.d.4049.1', 'target_level': 4600, 'twist_class_label': '4600.2.a.d.1.1', 'twist_class_level': 4600, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43206262
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793577464, 'source_is_minimal': False, 'source_label': '4600.2.e.d.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599937520, 'target_is_minimal': False, 'target_label': '9200.2.a.bc.1.1', 'target_level': 9200, 'twist_class_label': '4600.2.a.d.1.1', 'twist_class_level': 4600, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43206263
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 4049, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511073793577464, 'source_is_minimal': False, 'source_label': '4600.2.e.d.4049.2', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679898096, 'target_is_minimal': False, 'target_label': '9200.2.a.j.1.1', 'target_level': 9200, 'twist_class_label': '4600.2.a.d.1.1', 'twist_class_level': 4600, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3645950
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 2}
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id: 3645951
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 3}
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id: 3645952
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 5}
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id: 3645953
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 7}
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id: 3645954
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 11}
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id: 3645955
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 13}
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id: 3645956
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 17}
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id: 3645957
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 19}
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id: 3645958
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 23}
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id: 3645959
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 29}
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id: 3645960
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 31}
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id: 3645961
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 37}
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id: 3645962
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 41}
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id: 3645963
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 43}
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id: 3645964
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 47}
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id: 3645965
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 53}
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id: 3645966
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 59}
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id: 3645967
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 61}
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id: 3645968
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 67}
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id: 3645969
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 71}
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id: 3645970
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 73}
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id: 3645971
{'charpoly_factorization': [[[-11, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 79}
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id: 3645972
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 83}
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id: 3645973
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 13511073793577464, 'p': 89}
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id: 3645974
{'charpoly_factorization': [[[256, 0, 1], 1]], 'hecke_orbit_code': 13511073793577464, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 4, 'label': '4600.2.e.d', 'level': 4600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36501817
{'hecke_orbit_code': 13511073793577464, 'n': 1, 'trace_an': 2}
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id: 36501818
{'hecke_orbit_code': 13511073793577464, 'n': 2, 'trace_an': 0}
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id: 36501819
{'hecke_orbit_code': 13511073793577464, 'n': 3, 'trace_an': 0}
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id: 36501820
{'hecke_orbit_code': 13511073793577464, 'n': 4, 'trace_an': 0}
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id: 36501821
{'hecke_orbit_code': 13511073793577464, 'n': 5, 'trace_an': 0}
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id: 36501822
{'hecke_orbit_code': 13511073793577464, 'n': 6, 'trace_an': 0}
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id: 36501823
{'hecke_orbit_code': 13511073793577464, 'n': 7, 'trace_an': 0}
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id: 36501824
{'hecke_orbit_code': 13511073793577464, 'n': 8, 'trace_an': 0}
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id: 36501825
{'hecke_orbit_code': 13511073793577464, 'n': 9, 'trace_an': -2}
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id: 36501826
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