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{'Nk2': 23100, 'analytic_conductor': 46.11360716728942, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [7, -1], [11, 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': [5775, 1, [3851, 4852, 4126, 3676], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -1, 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': [[2, [-2, -4, 0, 1]], [13, [-2, 2, 4, 1]], [17, [1, -5, -1, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265232527, 'hecke_ring_generator_nbound': 2, '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': '5775.2.a.bt', 'level': 5775, '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': [3, 5, 7, 11], 'level_radical': 1155, 'minimal_twist': '1155.2.c.c', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{2}-q^{3}+(1-\\beta _{1}-\\beta _{2})q^{4}+\\beta _{2}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5775.2.a', 'trace_display': [0, -3, 0, 3], 'trace_hash': 1831202395654003797, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.822', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.236', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.895', 'prec': 17}, {'__RealLiteral__': 0, 'data': '263.349', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [3, 0, -3, 2, 0, 0, 3, 6, 3, 0, -3, -2, -4, 0, 0, -4, 1, 0, 1, 0, -3, 0, -1, -6, 0, -2, -3, 2, -5, 0, -8, -8, 3, -6, 0, 2, 4, -4, 4, 0, -8, 0, -5, -2, 0, -10, -2, 4, 3, 0, -1, 2, 21, 0, 0, 6, -1, -14, -15, 0, -23, 0, 3, -12, 0, 0, 6, -10, 1, 0, -12, 6, -24, 2, 0, 10, -3, 2, 4, 0, 3, 2, 27, -2, 0, -14, 5, -6, -21, 0, -4, -2, 8, 4, 0, 8, 1, 0, -3, 0, -14, 6, -7, -8, 0, 16, 20, -2, -10, 0, -4, -4, 25, 4, 0, -20, -4, -8, 1, 0, 3, 26, 8, -30, 0, 0, 1, -16, 5, 0, -4, 2, 1, 0, 0, 2, -6, 10, 12, 0, 2, 26, 4, -4, 0, -16, -3, -2, 30, 0, -2, 2, 1, 0, 0, -2, 7, 0, -21, 0, -1, 0, -4, -10, 0, -2, 12, -6, -27, 0, 1, -20, -6, 14, 0, 4, 15, -22, -20, 0, -12, -2, 23, -2, 0, 0, -1, 14, -3, 0, -4, 12, 14, -30, 0, 2, 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mf_newspaces • Show schema
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{'ALdims': [10, 13, 13, 10, 15, 9, 9, 15, 13, 10, 10, 13, 9, 15, 15, 9], 'Nk2': 23100, 'analytic_conductor': 46.11360716728942, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5775, 1, [3851, 4852, 4126, 3676], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 188, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 13, 17], 'hecke_orbit_code': 33560207, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 10, 10, 10, 10], 'label': '5775.2.a', 'level': 5775, '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': [3, 5, 7, 11], 'level_radical': 1155, 'mf_dim': 984, 'mf_new_dim': 188, 'num_forms': 68, 'plus_dim': 76, 'prim_orbit_index': 1, 'relative_dim': 188, 'sturm_bound': 1920, 'trace_bound': 17, 'trace_display': [-4, 0, 0, 0], 'traces': [188, -4, 0, 176, 0, -8, 0, -12, 188, 0, 0, 0, -16, 0, 0, 152, -24, -4, -8, 0, 0, 4, 8, -24, 0, 64, 0, 0, 48, 0, -8, -28, 0, 40, 0, 176, 0, 24, 0, 0, 56, 4, 8, 0, 0, 8, 24, 0, 188, 0, -8, -40, 0, -8, 0, 0, 0, 4, 8, 0, 8, 80, 0, 140, 0, 0, 48, 8, -24, 0, 16, -12, -48, 40, 0, -80, 0, 4, -48, 0, 188, 16, 32, 0, 0, -96, 24, 0, -8, 0, -8, 32, -8, 88, 0, 64, 0, -4, 0, 0, 152, -8, 32, 176, 0, 136, -24, 0, 176, 0, 16, -32, -56, 92, 0, 144, -16, 56, -8, 0, 188, 88, -16, 88, 0, 0, -8, -4, 0, 0, -32, 0, 0, 16, 0, 304, -16, 0, -96, 0, -64, 96, 8, 152, 0, 48, 0, -36, 224, 0, -56, 168, -24, -8, 0, 16, 40, -40, -8, 0, -16, -4, -16, 88, 0, 128, 16, 0, 204, 0, -8, 144, -24, -16, 0, 32, 16, -8, -32, 0, 112, 16, 0, 72, 0, 8, 8, -48, 0, 0, -104, 96, 0, -72, 0, 176, 56, 4, -24, 0, -32, 184, 0, 152, 0, 48, 8, -96, 8, 0, -48, 96, 0, 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-224, 0, 144, 64, 8, 424, 0, -48, 96, 320, 152, 0, 80, 0, 24, 0, 0, -160, 16, -8, -168, 0, -64, -400, 416, -24, 0, -576, 32, 236, 384, 0, -8, -56, 48, -8, 0, 176, -8, -144, -72, 0, 168, 72, 432, -552, 0, -24, -16, -128, 360, 0, 200, 56, 256, 136, 0, -920, -32, -88, 48, 0, 44, -184, -24, -232, 0, -24, -32, -12, -88, 0, -216, 0, 48, -240, 0, 104, -160, -200, 0, 0, 176, 132, 176, -16, 0, 336, 16, 84, 160, 0, -288, 48, -128, -168, 0, -40, 248, -384, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48999260
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 202661983265232527, 'source_is_minimal': False, 'source_label': '5775.2.a.bt.1.3', 'source_level': 5775, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 202661983265232527, 'target_is_minimal': False, 'target_label': '5775.2.a.bt.1.3', 'target_level': 5775, 'twist_class_label': '1155.2.c.c.694.1', 'twist_class_level': 1155, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48999261
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 202661983265232527, 'source_is_minimal': False, 'source_label': '5775.2.a.bt.1.3', 'source_level': 5775, 'target_conrey_index': 694, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007336727250051, 'target_is_minimal': True, 'target_label': '1155.2.c.c.694.6', 'target_level': 1155, 'twist_class_label': '1155.2.c.c.694.1', 'twist_class_level': 1155, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48999262
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 202661983265232527, 'source_is_minimal': False, 'source_label': '5775.2.a.bt.1.3', 'source_level': 5775, 'target_conrey_index': 694, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727250051, 'target_is_minimal': True, 'target_label': '1155.2.c.c.694.1', 'target_level': 1155, 'twist_class_label': '1155.2.c.c.694.1', 'twist_class_level': 1155, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48999263
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 202661983265232527, 'source_is_minimal': False, 'source_label': '5775.2.a.bt.1.3', 'source_level': 5775, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 207165582892603023, 'target_is_minimal': False, 'target_label': '5775.2.a.bu.1.1', 'target_level': 5775, 'twist_class_label': '1155.2.c.c.694.1', 'twist_class_level': 1155, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3995625
{'charpoly_factorization': [[[-2, -4, 0, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 2}
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id: 3995626
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 202661983265232527, 'p': 3}
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id: 3995627
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 202661983265232527, 'p': 5}
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id: 3995628
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 202661983265232527, 'p': 7}
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id: 3995629
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 202661983265232527, 'p': 11}
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id: 3995630
{'charpoly_factorization': [[[-2, 2, 4, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 13}
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id: 3995631
{'charpoly_factorization': [[[1, -5, -1, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 17}
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id: 3995632
{'charpoly_factorization': [[[5, -13, -1, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 19}
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id: 3995633
{'charpoly_factorization': [[[-13, -9, 1, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 23}
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id: 3995634
{'charpoly_factorization': [[[-1, -7, 5, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 29}
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id: 3995635
{'charpoly_factorization': [[[-214, -28, 8, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 31}
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id: 3995636
{'charpoly_factorization': [[[2, 2, -4, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 37}
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id: 3995637
{'charpoly_factorization': [[[10, 18, 8, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 41}
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id: 3995638
{'charpoly_factorization': [[[-1, -7, 5, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 43}
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id: 3995639
{'charpoly_factorization': [[[10, -12, 2, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 47}
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id: 3995640
{'charpoly_factorization': [[[-247, 131, -21, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 53}
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id: 3995641
{'charpoly_factorization': [[[107, 71, 15, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 59}
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id: 3995642
{'charpoly_factorization': [[[113, 131, 23, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 61}
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id: 3995643
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 202661983265232527, 'p': 67}
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id: 3995644
{'charpoly_factorization': [[[-302, -22, 12, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 71}
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id: 3995645
{'charpoly_factorization': [[[400, 176, 24, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 73}
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id: 3995646
{'charpoly_factorization': [[[-38, -44, -4, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 79}
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id: 3995647
{'charpoly_factorization': [[[-529, 215, -27, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 83}
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id: 3995648
{'charpoly_factorization': [[[-233, 89, 21, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 89}
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id: 3995649
{'charpoly_factorization': [[[193, -59, -1, 1], 1]], 'hecke_orbit_code': 202661983265232527, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 46, 'label': '5775.2.a.bt', 'level': 5775, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 275831000
{'hecke_orbit_code': 202661983265232527, 'n': 1, 'trace_an': 3}
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id: 275831001
{'hecke_orbit_code': 202661983265232527, 'n': 2, 'trace_an': 0}
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id: 275831002
{'hecke_orbit_code': 202661983265232527, 'n': 3, 'trace_an': -3}
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id: 275831003
{'hecke_orbit_code': 202661983265232527, 'n': 4, 'trace_an': 2}
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id: 275831004
{'hecke_orbit_code': 202661983265232527, 'n': 5, 'trace_an': 0}
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id: 275831005
{'hecke_orbit_code': 202661983265232527, 'n': 6, 'trace_an': 0}
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id: 275831006
{'hecke_orbit_code': 202661983265232527, 'n': 7, 'trace_an': 3}
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id: 275831007
{'hecke_orbit_code': 202661983265232527, 'n': 8, 'trace_an': 6}
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id: 275831964
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id: 275831965
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id: 275831966
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id: 275831967
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id: 275831968
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id: 275831969
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id: 275831970
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id: 275831971
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id: 275831972
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id: 275831973
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id: 275831974
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id: 275831975
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id: 275831976
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id: 275831977
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id: 275831978
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id: 275831979
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id: 275831980
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id: 275831981
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id: 275831982
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id: 275831983
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id: 275831984
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id: 275831985
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id: 275831986
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id: 275831987
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id: 275831988
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id: 275831989
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id: 275831990
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id: 275831991
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id: 275831992
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id: 275831993
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id: 275831994
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id: 275831995
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id: 275831996
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id: 275831997
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id: 275831998
{'hecke_orbit_code': 202661983265232527, 'n': 999, 'trace_an': -4}
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id: 275831999
{'hecke_orbit_code': 202661983265232527, 'n': 1000, 'trace_an': 0}