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mf_newforms • Show schema
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{'Nk2': 228, 'analytic_conductor': 0.4551472915212982, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, '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': [57, 3, [20, 40], [3, 1]], 'cm_discs': [], 'conrey_index': 7, 'dim': 6, 'field_disc': -954288, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [47, 2]], 'field_poly': [27, -9, -6, 3, -2, -1, 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': [[2, [9, -15, 28, -1, 6, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538831929, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '57.2.e.b', 'level': 57, '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': True, 'level_primes': [3, 19], 'level_radical': 57, 'minimal_twist': '57.2.e.b', 'nf_label': '6.0.954288.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{4}+\\beta _{5})q^{2}-\\beta _{3}q^{3}+(-2-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '57.2.e', 'trace_display': [1, -3, -2, -2], 'trace_hash': 608500418467347334, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.809', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.397', 'prec': 17}, {'__RealLiteral__': 0, 'data': '134.715', 'prec': 24}, {'__RealLiteral__': 0, 'data': '159.576', 'prec': 24}, {'__RealLiteral__': 0, 'data': '5526.663', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [6, 1, -3, -5, -2, 1, -2, -6, -3, 4, 0, 10, 1, 3, -2, -5, 0, -2, 4, 44, 1, -18, -14, 3, -5, -42, 6, -17, -4, -8, 30, 17, 0, 0, -18, -5, -6, 41, -2, 24, 4, 3, 3, -12, 4, 40, 18, -5, -4, -46, 0, -5, 6, 1, -12, -42, -5, -16, 0, -22, -13, 23, 1, -30, 12, -18, -9, 0, 28, 24, 18, 3, -19, -1, 10, 27, 24, 21, -11, -10, -3, -8, -8, 34, 0, 17, 8, 12, 16, 4, -7, 2, -15, 12, 2, -34, 2, 14, 0, -15, -22, 0, -18, 27, -18, 24, -20, -5, 18, -24, 3, -5, -24, -25, -32, -44, 1, 18, 0, 24, 30, -38, 4, -13, 0, -6, -28, -21, 3, 48, 14, 24, -32, 86, -2, 0, -18, -20, 29, 36, -36, -42, 36, 10, 80, 13, 2, 5, -12, 23, 32, 12, 0, -6, 2, -5, -25, -21, -12, -16, 30, 1, 42, -88, -12, -44, -12, 21, -4, 0, 1, -34, -28, 8, -5, 36, 0, 4, -28, -22, -18, -54, 26, -36, 2, 23, 0, 30, -2, -76, -36, 15, 23, 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mf_hecke_cc • Show schema
Hide schema
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'embedding_m': 6, 'embedding_root_imag': -1.6844255963174857, 'embedding_root_real': 0.40337378505609767, 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538831929, 'label': '57.2.e.b.49.3', 'level': 57, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 228, 'analytic_conductor': 0.4551472915212982, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [57, 3, [20, 40], [3, 1]], 'conrey_index': 7, 'cusp_dim': 8, 'dim': 8, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461433, 'hecke_orbit_dims': [2, 6], 'label': '57.2.e', 'level': 57, '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': True, 'level_primes': [3, 19], 'level_radical': 57, 'mf_dim': 16, 'mf_new_dim': 8, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 4, 'sturm_bound': 13, 'trace_bound': 1, 'trace_display': [0, -2, -2, 0], 'traces': [8, 0, -2, -4, -2, 2, 0, -12, -4, 4, -4, 12, -4, 2, -2, -4, 4, 0, -4, 44, 2, -16, -10, 0, 0, -32, 4, -16, 4, -8, 24, 12, -2, 4, -18, -4, 0, 42, -12, 24, 16, 4, 4, -14, 4, 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mf_twists_cc • Show schema
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id: 35009134
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538831929, 'target_is_minimal': True, 'target_label': '57.2.e.b.49.3', 'target_level': 57, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35009135
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308779, 'target_is_minimal': False, 'target_label': '171.2.f.b.163.1', 'target_level': 171, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35009136
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540695446258576, 'target_is_minimal': False, 'target_label': '912.2.q.l.49.1', 'target_level': 912, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35009137
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 1873, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112591227668400816, 'target_is_minimal': False, 'target_label': '2736.2.s.z.1873.3', 'target_level': 2736, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35009138
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 7, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538831929, 'target_is_minimal': True, 'target_label': '57.2.e.b.7.3', 'target_level': 57, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35009139
{'conductor': 19, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394816742459, 'target_is_minimal': False, 'target_label': '1083.2.a.o.1.3', 'target_level': 1083, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '19.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 35009140
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934630971, 'target_is_minimal': False, 'target_label': '1083.2.a.l.1.1', 'target_level': 1083, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '19.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35009141
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953597105, 'target_is_minimal': False, 'target_label': '3249.2.a.t.1.1', 'target_level': 3249, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '57.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 35009142
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 108086391090449585, 'target_is_minimal': False, 'target_label': '3249.2.a.y.1.3', 'target_level': 3249, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '57.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35009143
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 64, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308779, 'target_is_minimal': False, 'target_label': '171.2.f.b.64.1', 'target_level': 171, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '57.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 35009144
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 577, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540695446258576, 'target_is_minimal': False, 'target_label': '912.2.q.l.577.1', 'target_level': 912, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '76.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35009145
{'conductor': 228, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831929, 'source_is_minimal': True, 'source_label': '57.2.e.b.49.3', 'source_level': 57, 'target_conrey_index': 577, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112591227668400816, 'target_is_minimal': False, 'target_label': '2736.2.s.z.577.3', 'target_level': 2736, 'twist_class_label': '57.2.e.b.7.3', 'twist_class_level': 57, 'twisting_char_label': '228.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 189850
{'charpoly_factorization': [[[9, -15, 28, -1, 6, -1, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 2}
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id: 189851
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 4503874538831929, 'p': 3}
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id: 189852
{'charpoly_factorization': [[[144, 96, 88, 8, 12, 2, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 5}
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id: 189853
{'charpoly_factorization': [[[3, -9, 1, 1], 2]], 'hecke_orbit_code': 4503874538831929, 'p': 7}
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id: 189854
{'charpoly_factorization': [[[-36, -24, 0, 1], 2]], 'hecke_orbit_code': 4503874538831929, 'p': 11}
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id: 189855
{'charpoly_factorization': [[[9, 63, 438, 27, 22, -1, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 13}
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id: 189856
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4503874538831929, 'p': 17}
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id: 189857
{'charpoly_factorization': [[[6859, -1444, 323, -136, 17, -4, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 19}
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id: 189858
{'charpoly_factorization': [[[24336, -4368, 2968, 704, 168, 14, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 23}
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id: 189859
{'charpoly_factorization': [[[9216, 3072, 1408, 64, 48, 4, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 29}
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id: 189860
{'charpoly_factorization': [[[31, 51, -15, 1], 2]], 'hecke_orbit_code': 4503874538831929, 'p': 31}
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id: 189861
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 4503874538831929, 'p': 37}
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id: 189862
{'charpoly_factorization': [[[9216, -3072, 1408, -64, 48, -4, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 41}
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id: 189863
{'charpoly_factorization': [[[169, 273, 402, 89, 30, -3, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 43}
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id: 189864
{'charpoly_factorization': [[[36, -6, 1], 3]], 'hecke_orbit_code': 4503874538831929, 'p': 47}
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id: 189865
{'charpoly_factorization': [[[104976, -23328, 7128, -216, 108, -6, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 53}
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id: 189866
{'charpoly_factorization': [[[1296, 864, 576, 72, 24, 0, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 59}
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id: 189867
{'charpoly_factorization': [[[5329, -803, 1070, 289, 158, 13, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 61}
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id: 189868
{'charpoly_factorization': [[[292681, 43821, 11430, 353, 162, 9, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 67}
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id: 189869
{'charpoly_factorization': [[[419904, 7776, 11808, -1512, 312, -18, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 71}
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id: 189870
{'charpoly_factorization': [[[961, -2573, 7478, 1639, 278, 19, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 73}
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id: 189871
{'charpoly_factorization': [[[29241, -513, 1890, 375, 118, 11, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 79}
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id: 189872
{'charpoly_factorization': [[[-192, -80, 4, 1], 2]], 'hecke_orbit_code': 4503874538831929, 'p': 83}
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id: 189873
{'charpoly_factorization': [[[11664, -8208, 4048, -1000, 180, -16, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 89}
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id: 189874
{'charpoly_factorization': [[[2096704, -388064, 74720, -2360, 272, -2, 1], 1]], 'hecke_orbit_code': 4503874538831929, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '57.2.e.b', 'level': 57, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 21959647
{'hecke_orbit_code': 4503874538831929, 'n': 1, 'trace_an': 6}
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id: 21959648
{'hecke_orbit_code': 4503874538831929, 'n': 2, 'trace_an': 1}
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id: 21959649
{'hecke_orbit_code': 4503874538831929, 'n': 3, 'trace_an': -3}
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id: 21959650
{'hecke_orbit_code': 4503874538831929, 'n': 4, 'trace_an': -5}
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id: 21959651
{'hecke_orbit_code': 4503874538831929, 'n': 5, 'trace_an': -2}
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id: 21959652
{'hecke_orbit_code': 4503874538831929, 'n': 6, 'trace_an': 1}
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id: 21959653
{'hecke_orbit_code': 4503874538831929, 'n': 7, 'trace_an': -2}
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