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{'Nk2': 30400, 'analytic_conductor': 60.686305536173094, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [19, 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': [7600, 1, [4751, 5701, 5777, 401], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -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': [[3, [-8, -5, 2, 1]], [7, [-2, -1, 4, 1]], [11, [8, -10, 0, 1]], [13, [2, 13, -8, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364158896, 'hecke_ring_generator_nbound': 3, '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': '7600.2.a.bi', 'level': 7600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '190.2.b.b', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}+(-1-\\beta _{1})q^{7}+(2+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7600.2.a', 'trace_display': [0, -2, 0, -4], 'trace_hash': 993345420316510040, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.879', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.090', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.209', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.528', 'prec': 17}, {'__RealLiteral__': 0, 'data': '279.460', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [3, 0, -2, 0, 0, 0, -4, 0, 5, 0, 0, 0, 8, 0, 0, 0, -2, 0, -3, 0, -10, 0, 0, 0, 0, 0, -2, 0, -8, 0, -4, 0, 8, 0, 0, 0, 14, 0, -10, 0, 2, 0, -18, 0, 0, 0, 14, 0, -3, 0, 6, 0, 16, 0, 0, 0, 2, 0, -2, 0, -30, 0, -2, 0, 0, 0, -2, 0, -22, 0, 8, 0, 10, 0, 0, 0, -8, 0, 0, 0, -17, 0, 6, 0, 0, 0, -6, 0, -14, 0, -6, 0, 4, 0, 0, 0, 10, 0, 12, 0, -14, 0, -4, 0, 0, 0, 6, 0, -24, 0, 16, 0, -18, 0, 0, 0, 30, 0, -2, 0, -13, 0, 32, 0, 0, 0, -28, 0, 4, 0, -12, 0, 4, 0, 0, 0, -18, 0, 4, 0, 0, 0, 12, 0, 0, 0, 48, 0, -18, 0, 28, 0, -20, 0, 0, 0, 12, 0, -6, 0, 22, 0, -2, 0, 0, 0, -4, 0, -1, 0, -5, 0, -14, 0, 0, 0, -2, 0, -28, 0, 6, 0, 12, 0, 0, 0, -12, 0, 6, 0, -46, 0, 18, 0, 0, 0, -32, 0, -6, 0, 30, 0, 22, 0, 0, 0, 38, 0, 0, 0, 18, 0, -64, 0, 0, 0, 4, 0, -46, 0, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 22, 10], [[[2, -1], [5, -1], [19, -1]], 23, 7], [[[2, 1], [5, -1], [19, -1]], 19, 8], [[[2, 1], [5, -1], [19, 1]], 25, 6], [[[2, 1], [5, 1], [19, 1]], 19, 7], [[[2, -1], [5, -1], [19, 1]], 23, 8], [[[2, -1], [5, 1], [19, 1]], 20, 10], [[[2, -1], [5, 1], [19, -1]], 20, 10]], 'ALdims': [19, 22, 25, 19, 20, 20, 23, 23], 'Nk2': 30400, 'analytic_conductor': 60.686305536173094, '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': [7600, 1, [4751, 5701, 5777, 401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1165, 'dim': 171, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 33562032, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6], 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mf_twists_cc • Show schema
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id: 48835084
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364158896, 'target_is_minimal': False, 'target_label': '7600.2.a.bi.1.1', 'target_level': 7600, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48835085
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58546795189371830, 'target_is_minimal': False, 'target_label': '950.2.a.n.1.3', 'target_level': 950, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48835086
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 609, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40532602838320624, 'target_is_minimal': False, 'target_label': '1520.2.d.j.609.6', 'target_level': 1520, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48835087
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 609, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532602838320624, 'target_is_minimal': False, 'target_label': '1520.2.d.j.609.1', 'target_level': 1520, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48835088
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 247697979538939312, 'target_is_minimal': False, 'target_label': '7600.2.a.cd.1.3', 'target_level': 7600, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48835089
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 279223176930533734, 'target_is_minimal': False, 'target_label': '8550.2.a.ck.1.1', 'target_level': 8550, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48835090
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 39, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503668380401854, 'target_is_minimal': True, 'target_label': '190.2.b.b.39.3', 'target_level': 190, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48835091
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 39, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503668380401854, 'target_is_minimal': True, 'target_label': '190.2.b.b.39.4', 'target_level': 190, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48835092
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052519350, 'target_is_minimal': False, 'target_label': '950.2.a.i.1.1', 'target_level': 950, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48835093
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 1369, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511005074097838, 'target_is_minimal': False, 'target_label': '1710.2.d.d.1369.6', 'target_level': 1710, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48835094
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 1369, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511005074097838, 'target_is_minimal': False, 'target_label': '1710.2.d.d.1369.3', 'target_level': 1710, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48835095
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 153122387364158896, 'source_is_minimal': False, 'source_label': '7600.2.a.bi.1.1', 'source_level': 7600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 283726776557904230, 'target_is_minimal': False, 'target_label': '8550.2.a.cl.1.3', 'target_level': 8550, 'twist_class_label': '190.2.b.b.39.3', 'twist_class_level': 190, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4518425
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 153122387364158896, 'p': 2}
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id: 4518426
{'charpoly_factorization': [[[-8, -5, 2, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 3}
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id: 4518427
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 153122387364158896, 'p': 5}
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id: 4518428
{'charpoly_factorization': [[[-2, -1, 4, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 7}
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id: 4518429
{'charpoly_factorization': [[[8, -10, 0, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 11}
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id: 4518430
{'charpoly_factorization': [[[2, 13, -8, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 13}
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id: 4518431
{'charpoly_factorization': [[[-4, -7, 2, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 17}
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id: 4518432
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 153122387364158896, 'p': 19}
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id: 4518433
{'charpoly_factorization': [[[-122, -49, 0, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 23}
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id: 4518434
{'charpoly_factorization': [[[-410, -51, 8, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 29}
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id: 4518435
{'charpoly_factorization': [[[-232, -62, 4, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 31}
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id: 4518436
{'charpoly_factorization': [[[-16, 40, -14, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 37}
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id: 4518437
{'charpoly_factorization': [[[-100, -50, -2, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 41}
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id: 4518438
{'charpoly_factorization': [[[148, 98, 18, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 43}
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id: 4518439
{'charpoly_factorization': [[[64, 32, -14, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 47}
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id: 4518440
{'charpoly_factorization': [[[-106, 77, -16, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 53}
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id: 4518441
{'charpoly_factorization': [[[-80, -29, 2, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 59}
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id: 4518442
{'charpoly_factorization': [[[892, 290, 30, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 61}
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id: 4518443
{'charpoly_factorization': [[[-64, -61, 2, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 67}
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id: 4518444
{'charpoly_factorization': [[[1016, -122, -8, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 71}
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id: 4518445
{'charpoly_factorization': [[[-164, -95, -10, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 73}
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id: 4518446
{'charpoly_factorization': [[[880, -228, 0, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 79}
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id: 4518447
{'charpoly_factorization': [[[8, -28, -6, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 83}
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id: 4518448
{'charpoly_factorization': [[[-20, 46, 14, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 89}
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id: 4518449
{'charpoly_factorization': [[[488, -100, -10, 1], 1]], 'hecke_orbit_code': 153122387364158896, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '7600.2.a.bi', 'level': 7600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 269752000
{'hecke_orbit_code': 153122387364158896, 'n': 1, 'trace_an': 3}
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id: 269752001
{'hecke_orbit_code': 153122387364158896, 'n': 2, 'trace_an': 0}
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id: 269752002
{'hecke_orbit_code': 153122387364158896, 'n': 3, 'trace_an': -2}
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id: 269752003
{'hecke_orbit_code': 153122387364158896, 'n': 4, 'trace_an': 0}
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id: 269752004
{'hecke_orbit_code': 153122387364158896, 'n': 5, 'trace_an': 0}
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id: 269752005
{'hecke_orbit_code': 153122387364158896, 'n': 6, 'trace_an': 0}
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id: 269752006
{'hecke_orbit_code': 153122387364158896, 'n': 7, 'trace_an': -4}
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id: 269752007
{'hecke_orbit_code': 153122387364158896, 'n': 8, 'trace_an': 0}
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id: 269752008
{'hecke_orbit_code': 153122387364158896, 'n': 9, 'trace_an': 5}
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id: 269752009
{'hecke_orbit_code': 153122387364158896, 'n': 10, 'trace_an': 0}
-
id: 269752010
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id: 269752990
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id: 269752994
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id: 269752998
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id: 269752999
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