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mf_newforms • Show schema
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{'Nk2': 12096, 'analytic_conductor': 24.14676157123519, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 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': [3024, 1, [1135, 757, 785, 2593], [1, 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': 0, 'hecke_cutters': [[5, [1, -4, 1]], [11, [-27, 0, 1]], [17, [-4, 1]]], 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873636304, 'hecke_ring_generator_nbound': 5, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3024.2.a.bm', 'level': 3024, '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': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '1512.2.a.m', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(2+\\beta )q^{5}-q^{7}+3\\beta q^{11}-2\\beta q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3024.2.a', 'trace_display': [0, 0, 4, -2], 'trace_hash': 704964326130425528, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.899', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [5, 7, 7, 5, 7, 5, 5, 7], 'Nk2': 12096, 'analytic_conductor': 24.14676157123519, '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': [3024, 1, [1135, 757, 785, 2593], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 541, 'dim': 48, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33557456, '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, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '3024.2.a', 'level': 3024, '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': [2, 3, 7], 'level_radical': 42, 'mf_dim': 612, 'mf_new_dim': 48, 'num_forms': 39, 'plus_dim': 20, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 1152, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 424, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -16, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48902990
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873636304, 'source_is_minimal': False, 'source_label': '3024.2.a.bm.1.1', 'source_level': 3024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873636304, 'target_is_minimal': False, 'target_label': '3024.2.a.bm.1.1', 'target_level': 3024, 'twist_class_label': '1512.2.a.m.1.2', 'twist_class_level': 1512, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48902991
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873636304, 'source_is_minimal': False, 'source_label': '3024.2.a.bm.1.1', 'source_level': 3024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854672336, 'target_is_minimal': False, 'target_label': '3024.2.a.be.1.2', 'target_level': 3024, 'twist_class_label': '1512.2.a.m.1.2', 'twist_class_level': 1512, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48902992
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873636304, 'source_is_minimal': False, 'source_label': '3024.2.a.bm.1.1', 'source_level': 3024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698854376, 'target_is_minimal': True, 'target_label': '1512.2.a.r.1.1', 'target_level': 1512, 'twist_class_label': '1512.2.a.m.1.2', 'twist_class_level': 1512, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48902993
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 171136785873636304, 'source_is_minimal': False, 'source_label': '3024.2.a.bm.1.1', 'source_level': 3024, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562001896, 'target_is_minimal': True, 'target_label': '1512.2.a.m.1.2', 'target_level': 1512, 'twist_class_label': '1512.2.a.m.1.2', 'twist_class_level': 1512, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2966100
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 171136785873636304, 'p': 2}
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id: 2966101
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 171136785873636304, 'p': 3}
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id: 2966102
{'charpoly_factorization': [[[1, -4, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 5}
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id: 2966103
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 171136785873636304, 'p': 7}
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id: 2966104
{'charpoly_factorization': [[[-27, 0, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 11}
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id: 2966105
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 13}
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id: 2966106
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 171136785873636304, 'p': 17}
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id: 2966107
{'charpoly_factorization': [[[-47, 2, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 19}
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id: 2966108
{'charpoly_factorization': [[[1, 4, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 23}
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id: 2966109
{'charpoly_factorization': [[[-44, -4, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 29}
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id: 2966110
{'charpoly_factorization': [[[13, -10, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 31}
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id: 2966111
{'charpoly_factorization': [[[-3, -6, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 37}
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id: 2966112
{'charpoly_factorization': [[[-11, -8, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 41}
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id: 2966113
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 43}
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id: 2966114
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 47}
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id: 2966115
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 171136785873636304, 'p': 53}
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id: 2966116
{'charpoly_factorization': [[[24, 12, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 59}
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id: 2966117
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 61}
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id: 2966118
{'charpoly_factorization': [[[132, -24, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 67}
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id: 2966119
{'charpoly_factorization': [[[-39, 12, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 71}
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id: 2966120
{'charpoly_factorization': [[[-104, 4, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 73}
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id: 2966121
{'charpoly_factorization': [[[-104, -4, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 79}
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id: 2966122
{'charpoly_factorization': [[[-12, -12, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 83}
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id: 2966123
{'charpoly_factorization': [[[253, -32, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 89}
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id: 2966124
{'charpoly_factorization': [[[16, 16, 1], 1]], 'hecke_orbit_code': 171136785873636304, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 39, 'label': '3024.2.a.bm', 'level': 3024, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70241251
{'hecke_orbit_code': 171136785873636304, 'n': 1, 'trace_an': 2}
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id: 70241252
{'hecke_orbit_code': 171136785873636304, 'n': 2, 'trace_an': 0}
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id: 70241253
{'hecke_orbit_code': 171136785873636304, 'n': 3, 'trace_an': 0}
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id: 70241254
{'hecke_orbit_code': 171136785873636304, 'n': 4, 'trace_an': 0}
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id: 70241255
{'hecke_orbit_code': 171136785873636304, 'n': 5, 'trace_an': 4}
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id: 70241256
{'hecke_orbit_code': 171136785873636304, 'n': 6, 'trace_an': 0}
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id: 70241257
{'hecke_orbit_code': 171136785873636304, 'n': 7, 'trace_an': -2}
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id: 70241258
{'hecke_orbit_code': 171136785873636304, 'n': 8, 'trace_an': 0}
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id: 70241259
{'hecke_orbit_code': 171136785873636304, 'n': 9, 'trace_an': 0}
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id: 70241260
{'hecke_orbit_code': 171136785873636304, 'n': 10, 'trace_an': 0}
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id: 70241261
{'hecke_orbit_code': 171136785873636304, 'n': 11, 'trace_an': 0}
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id: 70241262
{'hecke_orbit_code': 171136785873636304, 'n': 12, 'trace_an': 0}
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id: 70241263
{'hecke_orbit_code': 171136785873636304, 'n': 13, 'trace_an': 0}
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id: 70241264
{'hecke_orbit_code': 171136785873636304, 'n': 14, 'trace_an': 0}
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id: 70241265
{'hecke_orbit_code': 171136785873636304, 'n': 15, 'trace_an': 0}
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id: 70241266
{'hecke_orbit_code': 171136785873636304, 'n': 16, 'trace_an': 0}
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id: 70241267
{'hecke_orbit_code': 171136785873636304, 'n': 17, 'trace_an': 8}
-
id: 70241268
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id: 70241462
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id: 70241463
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id: 70241464
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id: 70241465
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id: 70241466
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id: 70241467
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id: 70241468
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id: 70241469
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id: 70241470
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id: 70241471
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id: 70241472
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id: 70241473
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id: 70241474
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id: 70241475
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id: 70241476
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id: 70241477
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id: 70241478
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id: 70241479
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id: 70241480
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id: 70241481
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id: 70241482
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id: 70241483
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id: 70241484
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id: 70241485
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id: 70241486
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id: 70241487
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id: 70241488
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id: 70241489
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id: 70241490
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id: 70241491
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id: 70241492
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id: 70241493
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id: 70241494
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id: 70241495
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id: 70241496
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id: 70241497
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id: 70241498
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id: 70241499
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id: 70241500
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id: 70241501
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id: 70241502
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id: 70241503
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id: 70241504
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id: 70241505
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id: 70241506
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id: 70241507
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id: 70241508
{'hecke_orbit_code': 171136785873636304, 'n': 997, 'trace_an': 20}