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{'Nk2': 4332, 'analytic_conductor': 8.647798538904665, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [19, -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': [1083, 1, [362, 724], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 81, 'field_disc_factorization': [[3, 4]], 'field_poly': [-1, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 18, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, -3, 0, 1]], [5, [-3, 0, 3, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189371963, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1083.2.a.n', 'level': 1083, '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, 19], 'level_radical': 57, 'minimal_twist': '57.2.i.a', 'nf_label': '3.3.81.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+q^{3}+\\beta _{2}q^{4}+(-1+\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1083.2.a', 'trace_display': [0, 3, -3, -3], 'trace_hash': 452605933511466081, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.824', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '20.930', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '229.710', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [3, 0, 3, 0, -3, 0, -3, -3, 3, -6, -3, 0, -3, 6, -3, -6, -9, 0, 0, 3, -3, -3, 6, -3, -6, -12, 3, -3, -9, -6, -24, 9, -3, 15, -3, 0, -6, 0, -3, 9, 6, 6, -21, -12, -3, -9, -3, -6, -12, 9, -9, 6, 18, 0, 6, -3, 0, -12, 15, 3, -9, -3, -3, -3, 15, -3, 6, -3, 6, 3, 9, -3, -6, -3, -6, 0, 0, -12, -9, 3, 3, 21, -15, -3, -6, 18, -9, 6, 0, -6, -9, 18, -24, 3, 0, 9, 6, -15, -3, 0, -15, 15, -15, 15, -3, 24, 12, 0, -9, 21, -6, 9, 12, 0, 3, 24, -3, -9, 24, 9, 12, -21, 6, -3, 12, 6, -27, -3, -21, 12, 6, -12, 0, 6, -3, -6, -45, -9, 15, -6, -3, -18, 9, -6, 21, 18, -12, -12, -6, 9, 3, 0, -9, -15, 27, 6, -3, -12, 18, 6, -15, 0, -3, -6, 6, -21, -6, -3, -12, 6, 0, 0, -6, -12, 15, 45, 15, 45, 30, 3, 27, 12, -9, 3, 9, -3, -12, 30, -3, 0, -24, -3, 12, -3, 15, 12, -9, -3, 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-
mf_newspaces • Show schema
Hide schema
{'ALdims': [14, 15, 19, 9], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [9, 10, 10, 10], 'ALdims_old': [10, 14, 11, 15], 'Nk2': 4332, 'analytic_conductor': 8.647798538904665, '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': [1083, 1, [362, 724], [1, 1]], 'conrey_index': 1, 'cusp_dim': 107, 'dim': 57, 'eis_dim': 39, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33555515, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 6, 6, 8, 8], 'label': '1083.2.a', 'level': 1083, '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, 19], 'level_radical': 57, 'mf_dim': 146, 'mf_new_dim': 57, 'num_forms': 19, 'plus_dim': 23, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 253, 'trace_bound': 3, 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mf_twists_cc • Show schema
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id: 47626770
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58546795189371963, 'source_is_minimal': False, 'source_label': '1083.2.a.n.1.3', 'source_level': 1083, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58546795189371963, 'target_is_minimal': False, 'target_label': '1083.2.a.n.1.3', 'target_level': 1083, 'twist_class_label': '57.2.i.a.4.1', 'twist_class_level': 57, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47626771
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58546795189371963, 'source_is_minimal': False, 'source_label': '1083.2.a.n.1.3', 'source_level': 1083, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463079089, 'target_is_minimal': False, 'target_label': '3249.2.a.x.1.1', 'target_level': 3249, 'twist_class_label': '57.2.i.a.4.1', 'twist_class_level': 57, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47626772
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58546795189371963, 'source_is_minimal': False, 'source_label': '1083.2.a.n.1.3', 'source_level': 1083, 'target_conrey_index': 4, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368377, 'target_is_minimal': True, 'target_label': '57.2.i.a.4.1', 'target_level': 57, 'twist_class_label': '57.2.i.a.4.1', 'twist_class_level': 57, 'twisting_char_label': '19.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47626773
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58546795189371963, 'source_is_minimal': False, 'source_label': '1083.2.a.n.1.3', 'source_level': 1083, 'target_conrey_index': 43, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368377, 'target_is_minimal': True, 'target_label': '57.2.i.a.43.1', 'target_level': 57, 'twist_class_label': '57.2.i.a.4.1', 'twist_class_level': 57, 'twisting_char_label': '19.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 47626774
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58546795189371963, 'source_is_minimal': False, 'source_label': '1083.2.a.n.1.3', 'source_level': 1083, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562001467, 'target_is_minimal': False, 'target_label': '1083.2.a.m.1.1', 'target_level': 1083, 'twist_class_label': '57.2.i.a.4.1', 'twist_class_level': 57, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 47626775
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58546795189371963, 'source_is_minimal': False, 'source_label': '1083.2.a.n.1.3', 'source_level': 1083, 'target_conrey_index': 118, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089323, 'target_is_minimal': False, 'target_label': '171.2.u.a.118.1', 'target_level': 171, 'twist_class_label': '57.2.i.a.4.1', 'twist_class_level': 57, 'twisting_char_label': '57.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47626776
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58546795189371963, 'source_is_minimal': False, 'source_label': '1083.2.a.n.1.3', 'source_level': 1083, 'target_conrey_index': 100, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089323, 'target_is_minimal': False, 'target_label': '171.2.u.a.100.1', 'target_level': 171, 'twist_class_label': '57.2.i.a.4.1', 'twist_class_level': 57, 'twisting_char_label': '57.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 47626777
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58546795189371963, 'source_is_minimal': False, 'source_label': '1083.2.a.n.1.3', 'source_level': 1083, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079191835708593, 'target_is_minimal': False, 'target_label': '3249.2.a.w.1.3', 'target_level': 3249, 'twist_class_label': '57.2.i.a.4.1', 'twist_class_level': 57, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 47626778
{'conductor': 76, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58546795189371963, 'source_is_minimal': False, 'source_label': '1083.2.a.n.1.3', 'source_level': 1083, 'target_conrey_index': 289, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506348439995280, 'target_is_minimal': False, 'target_label': '912.2.bo.b.289.1', 'target_level': 912, 'twist_class_label': '57.2.i.a.4.1', 'twist_class_level': 57, 'twisting_char_label': '76.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47626779
{'conductor': 76, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58546795189371963, 'source_is_minimal': False, 'source_label': '1083.2.a.n.1.3', 'source_level': 1083, 'target_conrey_index': 385, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506348439995280, 'target_is_minimal': False, 'target_label': '912.2.bo.b.385.1', 'target_level': 912, 'twist_class_label': '57.2.i.a.4.1', 'twist_class_level': 57, 'twisting_char_label': '76.67', 'twisting_conrey_index': 67, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1664725
{'charpoly_factorization': [[[1, -3, 0, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 2}
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id: 1664726
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 58546795189371963, 'p': 3}
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id: 1664727
{'charpoly_factorization': [[[-3, 0, 3, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 5}
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id: 1664728
{'charpoly_factorization': [[[-1, 0, 3, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 7}
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id: 1664729
{'charpoly_factorization': [[[-37, -18, 3, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 11}
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id: 1664730
{'charpoly_factorization': [[[-19, -9, 3, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 13}
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id: 1664731
{'charpoly_factorization': [[[-53, 6, 9, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 17}
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id: 1664732
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 58546795189371963, 'p': 19}
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id: 1664733
{'charpoly_factorization': [[[73, -15, -6, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 23}
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id: 1664734
{'charpoly_factorization': [[[-53, -21, 9, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 29}
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id: 1664735
{'charpoly_factorization': [[[489, 189, 24, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 31}
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id: 1664736
{'charpoly_factorization': [[[-51, -9, 6, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 37}
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id: 1664737
{'charpoly_factorization': [[[51, -27, -6, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 41}
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id: 1664738
{'charpoly_factorization': [[[19, 111, 21, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 43}
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id: 1664739
{'charpoly_factorization': [[[213, -108, 3, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 47}
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id: 1664740
{'charpoly_factorization': [[[289, 51, -18, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 53}
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id: 1664741
{'charpoly_factorization': [[[-89, 66, -15, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 59}
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id: 1664742
{'charpoly_factorization': [[[37, -66, 9, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 61}
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id: 1664743
{'charpoly_factorization': [[[296, -72, -6, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 67}
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id: 1664744
{'charpoly_factorization': [[[153, -9, -9, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 71}
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id: 1664745
{'charpoly_factorization': [[[-109, -51, 6, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 73}
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id: 1664746
{'charpoly_factorization': [[[-53, -21, 9, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 79}
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id: 1664747
{'charpoly_factorization': [[[-51, 36, 15, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 83}
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id: 1664748
{'charpoly_factorization': [[[1125, -225, 0, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 89}
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id: 1664749
{'charpoly_factorization': [[[269, -45, -6, 1], 1]], 'hecke_orbit_code': 58546795189371963, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '1083.2.a.n', 'level': 1083, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 58262311
{'hecke_orbit_code': 58546795189371963, 'n': 1, 'trace_an': 3}
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id: 58262312
{'hecke_orbit_code': 58546795189371963, 'n': 2, 'trace_an': 0}
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id: 58262313
{'hecke_orbit_code': 58546795189371963, 'n': 3, 'trace_an': 3}
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id: 58262314
{'hecke_orbit_code': 58546795189371963, 'n': 4, 'trace_an': 0}
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id: 58262315
{'hecke_orbit_code': 58546795189371963, 'n': 5, 'trace_an': -3}
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id: 58262316
{'hecke_orbit_code': 58546795189371963, 'n': 6, 'trace_an': 0}
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id: 58262317
{'hecke_orbit_code': 58546795189371963, 'n': 7, 'trace_an': -3}
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id: 58262318
{'hecke_orbit_code': 58546795189371963, 'n': 8, 'trace_an': -3}
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id: 58262319
{'hecke_orbit_code': 58546795189371963, 'n': 9, 'trace_an': 3}
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id: 58262320
{'hecke_orbit_code': 58546795189371963, 'n': 10, 'trace_an': -6}
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id: 58262321
{'hecke_orbit_code': 58546795189371963, 'n': 11, 'trace_an': -3}
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id: 58262322
{'hecke_orbit_code': 58546795189371963, 'n': 12, 'trace_an': 0}
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id: 58262323
{'hecke_orbit_code': 58546795189371963, 'n': 13, 'trace_an': -3}
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id: 58262324
{'hecke_orbit_code': 58546795189371963, 'n': 14, 'trace_an': 6}
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id: 58262325
{'hecke_orbit_code': 58546795189371963, 'n': 15, 'trace_an': -3}
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id: 58262326
{'hecke_orbit_code': 58546795189371963, 'n': 16, 'trace_an': -6}
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id: 58262327
{'hecke_orbit_code': 58546795189371963, 'n': 17, 'trace_an': -9}
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id: 58262328
{'hecke_orbit_code': 58546795189371963, 'n': 18, 'trace_an': 0}
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id: 58262329
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