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{'Nk2': 33856, 'analytic_conductor': 67.58538027081171, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [23, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-2, 1]], [5, [-3, 0, 1]], [7, [-12, 0, 1]], [13, [5, 1]]], 'hecke_orbit': 34, 'hecke_orbit_code': 148618787736789264, 'hecke_ring_generator_nbound': 5, '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, 23, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8464.2.a.bh', 'level': 8464, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 23], 'level_radical': 46, 'minimal_twist': '1058.2.a.g', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{3}+\\beta q^{5}+2\\beta q^{7}+q^{9}-2\\beta q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8464.2.a', 'trace_display': [0, 4, 0, 0], 'trace_hash': 1881947739027262362, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.929', 'prec': 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mf_hecke_nf • Show schema
Hide schema
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'8464.2.a.bh', 'level': 8464, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [60, 66, 61, 55], 'ALdims_eis_new': [0, 0, 10, 11], 'ALdims_eis_old': [35, 36, 26, 25], 'ALdims_old': [193, 198, 203, 197], 'Nk2': 33856, 'analytic_conductor': 67.58538027081171, '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': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1033, 'dim': 242, 'eis_dim': 143, 'eis_new_dim': 21, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33562896, 'hecke_orbit_dims': [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, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 10, 10, 12, 15, 15, 15, 15], 'label': '8464.2.a', 'level': 8464, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 23], 'level_radical': 46, 'mf_dim': 1176, 'mf_new_dim': 263, 'num_forms': 62, 'plus_dim': 115, 'prim_orbit_index': 1, 'relative_dim': 242, 'sturm_bound': 2208, 'trace_bound': 13, 'trace_display': [0, -2, 2, -4], 'traces': [242, 0, -2, 0, 2, 0, -4, 0, 224, 0, 0, 0, 2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 204, 0, -8, 0, 2, 0, -10, 0, 8, 0, 0, 0, 10, 0, -20, 0, -6, 0, 0, 0, 10, 0, 44, 0, 176, 0, -4, 0, 10, 0, 24, 0, -8, 0, -2, 0, 18, 0, -32, 0, -12, 0, 8, 0, 0, 0, 6, 0, 2, 0, -6, 0, 8, 0, -28, 0, 162, 0, 20, 0, 12, 0, 40, 0, -6, 0, -4, 0, -22, 0, -8, 0, -6, 0, 8, 0, 18, 0, 36, 0, 24, 0, 28, 0, 10, 0, 24, 0, 10, 0, 0, 0, 34, 0, 36, 0, 136, 0, 16, 0, 12, 0, -30, 0, 0, 0, 34, 0, -16, 0, -16, 0, -22, 0, -32, 0, 24, 0, -16, 0, -20, 0, 8, 0, -14, 0, 10, 0, 2, 0, 48, 0, -22, 0, -28, 0, 0, 0, -14, 0, 24, 0, -22, 0, 92, 0, 56, 0, 18, 0, -52, 0, -24, 0, -66, 0, -22, 0, 12, 0, -10, 0, 16, 0, -8, 0, 16, 0, -14, 0, -88, 0, 2, 0, 0, 0, 0, 0, -52, 0, -28, 0, 0, 0, 0, 0, -46, 0, -8, 0, -12, 0, -16, 0, 44, 0, 4, 0, -98, 0, 162, 0, 12, 0, -30, 0, 86, 0, -6, 0, 16, 0, -48, 0, 54, 0, 26, 0, -6, 0, -6, 0, -68, 0, 48, 0, 76, 0, 0, 0, 110, 0, 2, 0, -4, 0, 10, 0, -20, 0, -12, 0, 96, 0, -62, 0, 62, 0, 24, 0, -40, 0, -28, 0, -26, 0, 26, 0, -16, 0, -66, 0, 60, 0, 52, 0, 28, 0, -62, 0, 104, 0, 48, 0, 0, 0, -16, 0, 100, 0, -12, 0, 2, 0, -64, 0, 26, 0, -14, 0, 160, 0, 66, 0, -56, 0, 32, 0, -98, 0, 22, 0, -8, 0, 80, 0, -94, 0, 42, 0, 8, 0, 18, 0, 124, 0, 32, 0, -32, 0, 0, 0, 38, 0, -22, 0, -12, 0, -6, 0, 88, 0, -56, 0, -76, 0, 64, 0, -74, 0, -20, 0, 44, 0, 20, 0, 206, 0, 18, 0, 8, 0, 12, 0, -72, 0, -80, 0, -40, 0, 24, 0, -192, 0, -6, 0, 0, 0, 32, 0, -92, 0, -22, 0, -24, 0, 82, 0, 12, 0, -6, 0, -132, 0, -54, 0, 64, 0, 16, 0, 94, 0, 0, 0, 64, 0, 82, 0, 216, 0, -10, 0, 28, 0, 8, 0, -104, 0, -62, 0, 16, 0, 0, 0, 30, 0, 82, 0, 86, 0, 4, 0, -84, 0, 74, 0, 136, 0, 48, 0, 84, 0, -14, 0, -124, 0, -44, 0, -34, 0, -8, 0, -36, 0, 24, 0, 104, 0, 64, 0, 36, 0, -14, 0, 108, 0, -52, 0, 0, 0, -114, 0, 130, 0, 24, 0, 14, 0, 124, 0, 190, 0, -8, 0, 142, 0, -112, 0, -68, 0, -60, 0, -84, 0, -86, 0, -36, 0, -72, 0, -164, 0, -64, 0, 12, 0, -30, 0, 100, 0, 8, 0, -76, 0, 0, 0, -14, 0, 36, 0, -20, 0, -32, 0, 56, 0, 74, 0, -192, 0, -44, 0, -86, 0, -30, 0, 68, 0, -70, 0, 96, 0, -62, 0, 32, 0, -58, 0, -32, 0, 60, 0, -76, 0, -54, 0, -116, 0, -16, 0, 0, 0, -70, 0, -152, 0, 8, 0, -32, 0, -92, 0, -102, 0, 64, 0, -220, 0, 50, 0, 72, 0, -64, 0, 180, 0, 18, 0, 104, 0, -62, 0, 142, 0, 96, 0, -44, 0, 26, 0, -176, 0, 26, 0, 16, 0, 0, 0, 0, 0, -82, 0, 218, 0, -52, 0, -128, 0, -72, 0, 176, 0, 10, 0, 138, 0, 26, 0, -96, 0, -70, 0, -110, 0, 16, 0, -44, 0, -22, 0, 200, 0, -70, 0, 44, 0, 26, 0, 244, 0, 96, 0, 0, 0, -88, 0, 144, 0, -62, 0, -16, 0, -94, 0, 0, 0, -8, 0, 170, 0, 36, 0, -96, 0, 68, 0, -36, 0, -58, 0, -56, 0, 76, 0, -30, 0, 34, 0, -64, 0, 40, 0, 112, 0, 58, 0, -80, 0, 0, 0, 66, 0, -56, 0, -58, 0, -8, 0, 184, 0, -58, 0, -232, 0, 80, 0, -104, 0, 42, 0, 104, 0, -30, 0, 74, 0, 112, 0, 100, 0, -28, 0, -192, 0, -48, 0, 48, 0, 48, 0, -168, 0, 98, 0, 0, 0, 2, 0, -128, 0, 84, 0, 222, 0, 90, 0, -12, 0, 42, 0, -238, 0, -120, 0, 148, 0, 72, 0, 222, 0, -92, 0, 32, 0, 48, 0, 232, 0, -116, 0, 32, 0, 42, 0, -124, 0, -102, 0, 96, 0, 0, 0, -32, 0, 74, 0, -10, 0, 16, 0, -80, 0, 48, 0, 272, 0, 66, 0, 110, 0, -16, 0, -24, 0, 20, 0, -92, 0, -38, 0, -16, 0, -82, 0, 60, 0, 12, 0, -36, 0, 182, 0, 260, 0, -112, 0, 0, 0, 90, 0, 180, 0, -70, 0, 22, 0, 152, 0, 90, 0, 36, 0, 246, 0, -96, 0, -120, 0, -78, 0, -230, 0, 10, 0, -104, 0, -126, 0, -78, 0, -32, 0, 42, 0, -64, 0, 136, 0, -128, 0, -24, 0, 0, 0, 4, 0, 68, 0, -64, 0, 12, 0, 100, 0, -236, 0, -204, 0, -104, 0, 182, 0, -24, 0, 108, 0, -86, 0, 72, 0, 30, 0, 24, 0, 2, 0, -196, 0, 88, 0, -136, 0, -54, 0, -264, 0, -94, 0, 0, 0, -78, 0, -90, 0, -20, 0, 64, 0, -142, 0, 0, 0, -16, 0, -208, 0, 0, 0, 112, 0, -92, 0, 100, 0, 72, 0, 36, 0, -152, 0, 270, 0, 74, 0, 32, 0, -78, 0, -124, 0, 60, 0, 100, 0, 0, 0, 22, 0, -96, 0, 124, 0, 66, 0, -184, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1392926
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '8464.2.a.bh', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1058.2.a.g', 'target_level': 1058, 'twist_class_label': '1058.2.a.g', 'twist_class_level': 1058, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392927
{'conductor': 92, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '8464.2.a.bh', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1058.2.a.g', 'target_level': 1058, 'twist_class_label': '1058.2.a.g', 'twist_class_level': 1058, 'twisting_char_label': '92.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392928
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '8464.2.a.bh', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '8464.2.a.bh', 'target_level': 8464, 'twist_class_label': '1058.2.a.g', 'twist_class_level': 1058, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1392929
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '8464.2.a.bh', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '8464.2.a.bh', 'target_level': 8464, 'twist_class_label': '1058.2.a.g', 'twist_class_level': 1058, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392930
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '8464.2.a.bh', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '9522.2.a.t', 'target_level': 9522, 'twist_class_label': '1058.2.a.g', 'twist_class_level': 1058, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392931
{'conductor': 276, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 34, 'source_is_minimal': False, 'source_label': '8464.2.a.bh', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '9522.2.a.t', 'target_level': 9522, 'twist_class_label': '1058.2.a.g', 'twist_class_level': 1058, 'twisting_char_label': '276.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4742325
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 2}
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id: 4742326
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 3}
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id: 4742327
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 5}
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id: 4742328
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 7}
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id: 4742329
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 11}
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id: 4742330
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 13}
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id: 4742331
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 17}
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id: 4742332
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 19}
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id: 4742333
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 23}
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id: 4742334
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 29}
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id: 4742335
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 31}
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id: 4742336
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 37}
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id: 4742337
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 41}
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id: 4742338
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 43}
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id: 4742339
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 47}
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id: 4742340
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 53}
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id: 4742341
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 59}
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id: 4742342
{'charpoly_factorization': [[[-27, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 61}
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id: 4742343
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 67}
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id: 4742344
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 71}
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id: 4742345
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 73}
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id: 4742346
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 79}
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id: 4742347
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 148618787736789264, 'p': 83}
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id: 4742348
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 89}
-
id: 4742349
{'charpoly_factorization': [[[-147, 0, 1], 1]], 'hecke_orbit_code': 148618787736789264, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 34, 'label': '8464.2.a.bh', 'level': 8464, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69402235
{'hecke_orbit_code': 148618787736789264, 'n': 1, 'trace_an': 2}
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id: 69402236
{'hecke_orbit_code': 148618787736789264, 'n': 2, 'trace_an': 0}
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id: 69402237
{'hecke_orbit_code': 148618787736789264, 'n': 3, 'trace_an': 4}
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id: 69402238
{'hecke_orbit_code': 148618787736789264, 'n': 4, 'trace_an': 0}
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id: 69402239
{'hecke_orbit_code': 148618787736789264, 'n': 5, 'trace_an': 0}
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id: 69402240
{'hecke_orbit_code': 148618787736789264, 'n': 6, 'trace_an': 0}
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id: 69402241
{'hecke_orbit_code': 148618787736789264, 'n': 7, 'trace_an': 0}
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