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{'Nk2': 24192, 'analytic_conductor': 48.29352314247038, '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': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6048, 1, [4159, 3781, 3809, 2593], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 39528, 'field_disc_factorization': [[2, 3], [3, 4], [61, 1]], 'field_poly': [12, -2, -9, 0, 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': [[5, [48, -12, -15, 2, 1]], [11, [192, 16, -36, 0, 1]], [13, [88, 184, -21, -8, 1]], [17, [-89, -154, -48, 2, 1]]], 'hecke_orbit': 37, 'hecke_orbit_code': 162129586618898336, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': True, 'label': '6048.2.a.bk', 'level': 6048, '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': '6048.2.a.bk', 'nf_label': '4.4.39528.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{2})q^{5}-q^{7}-\\beta _{1}q^{11}+(2+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6048.2.a', 'trace_display': [0, 0, -2, -4], 'trace_hash': 101572541906483791, 'trace_moments': 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'weight_parity': 1}
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mf_newspaces • Show schema
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{'ALdims': [11, 13, 13, 11, 13, 11, 11, 13], 'Nk2': 24192, 'analytic_conductor': 48.29352314247038, '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': [6048, 1, [4159, 3781, 3809, 2593], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1105, 'dim': 96, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33560480, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '6048.2.a', 'level': 6048, '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': 1200, 'mf_new_dim': 96, 'num_forms': 48, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 2304, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48870729
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618898336, 'source_is_minimal': True, 'source_label': '6048.2.a.bk.1.3', 'source_level': 6048, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 162129586618898336, 'target_is_minimal': True, 'target_label': '6048.2.a.bk.1.3', 'target_level': 6048, 'twist_class_label': '6048.2.a.bk.1.3', 'twist_class_level': 6048, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48870730
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618898336, 'source_is_minimal': True, 'source_label': '6048.2.a.bk.1.3', 'source_level': 6048, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637862304, 'target_is_minimal': True, 'target_label': '6048.2.a.bs.1.2', 'target_level': 6048, 'twist_class_label': '6048.2.a.bk.1.3', 'twist_class_level': 6048, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48870731
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618898336, 'source_is_minimal': True, 'source_label': '6048.2.a.bk.1.3', 'source_level': 6048, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 184647584755750816, 'target_is_minimal': True, 'target_label': '6048.2.a.bp.1.3', 'target_level': 6048, 'twist_class_label': '6048.2.a.bk.1.3', 'twist_class_level': 6048, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48870732
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618898336, 'source_is_minimal': True, 'source_label': '6048.2.a.bk.1.3', 'source_level': 6048, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 202661983265232800, 'target_is_minimal': True, 'target_label': '6048.2.a.bt.1.2', 'target_level': 6048, 'twist_class_label': '6048.2.a.bk.1.3', 'twist_class_level': 6048, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4073675
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 162129586618898336, 'p': 2}
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id: 4073676
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 162129586618898336, 'p': 3}
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id: 4073677
{'charpoly_factorization': [[[48, -12, -15, 2, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 5}
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id: 4073678
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 162129586618898336, 'p': 7}
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id: 4073679
{'charpoly_factorization': [[[192, 16, -36, 0, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 11}
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id: 4073680
{'charpoly_factorization': [[[88, 184, -21, -8, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 13}
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id: 4073681
{'charpoly_factorization': [[[-89, -154, -48, 2, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 17}
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id: 4073682
{'charpoly_factorization': [[[96, -96, -12, 8, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 19}
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id: 4073683
{'charpoly_factorization': [[[-96, -128, -45, 0, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 23}
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id: 4073684
{'charpoly_factorization': [[[24, -32, -3, 6, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 29}
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id: 4073685
{'charpoly_factorization': [[[24, -32, -3, 6, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 31}
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id: 4073686
{'charpoly_factorization': [[[-636, 404, -51, -6, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 37}
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id: 4073687
{'charpoly_factorization': [[[12, 40, -3, -6, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 41}
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id: 4073688
{'charpoly_factorization': [[[-433, 362, -72, -2, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 43}
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id: 4073689
{'charpoly_factorization': [[[4204, -136, -147, 2, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 47}
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id: 4073690
{'charpoly_factorization': [[[-2412, -1324, -159, 6, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 53}
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id: 4073691
{'charpoly_factorization': [[[801, 32, -66, 0, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 59}
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id: 4073692
{'charpoly_factorization': [[[-1328, 848, -120, -4, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 61}
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id: 4073693
{'charpoly_factorization': [[[1264, -88, -129, -4, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 67}
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id: 4073694
{'charpoly_factorization': [[[-48, 24, 51, 16, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 71}
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id: 4073695
{'charpoly_factorization': [[[576, 480, -108, -12, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 73}
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id: 4073696
{'charpoly_factorization': [[[-4796, 1972, -219, -2, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 79}
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id: 4073697
{'charpoly_factorization': [[[-48, -8, 57, -18, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 83}
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id: 4073698
{'charpoly_factorization': [[[-804, 636, -93, -8, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 89}
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id: 4073699
{'charpoly_factorization': [[[-4608, 1280, 72, -24, 1], 1]], 'hecke_orbit_code': 162129586618898336, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 37, 'label': '6048.2.a.bk', 'level': 6048, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69946099
{'hecke_orbit_code': 162129586618898336, 'n': 1, 'trace_an': 4}
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id: 69946100
{'hecke_orbit_code': 162129586618898336, 'n': 2, 'trace_an': 0}
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id: 69946101
{'hecke_orbit_code': 162129586618898336, 'n': 3, 'trace_an': 0}
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id: 69946102
{'hecke_orbit_code': 162129586618898336, 'n': 4, 'trace_an': 0}
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id: 69946103
{'hecke_orbit_code': 162129586618898336, 'n': 5, 'trace_an': -2}
-
id: 69946104
{'hecke_orbit_code': 162129586618898336, 'n': 6, 'trace_an': 0}
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id: 69946105
{'hecke_orbit_code': 162129586618898336, 'n': 7, 'trace_an': -4}
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id: 69946106
{'hecke_orbit_code': 162129586618898336, 'n': 8, 'trace_an': 0}
-
id: 69946107
{'hecke_orbit_code': 162129586618898336, 'n': 9, 'trace_an': 0}
-
id: 69946108
{'hecke_orbit_code': 162129586618898336, 'n': 10, 'trace_an': 0}
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id: 69946109
{'hecke_orbit_code': 162129586618898336, 'n': 11, 'trace_an': 0}
-
id: 69946110
{'hecke_orbit_code': 162129586618898336, 'n': 12, 'trace_an': 0}
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id: 69946111
{'hecke_orbit_code': 162129586618898336, 'n': 13, 'trace_an': 8}
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id: 69946112
{'hecke_orbit_code': 162129586618898336, 'n': 14, 'trace_an': 0}
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id: 69946113
{'hecke_orbit_code': 162129586618898336, 'n': 15, 'trace_an': 0}
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id: 69946114
{'hecke_orbit_code': 162129586618898336, 'n': 16, 'trace_an': 0}
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id: 69946115
{'hecke_orbit_code': 162129586618898336, 'n': 17, 'trace_an': -2}
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id: 69946116
{'hecke_orbit_code': 162129586618898336, 'n': 18, 'trace_an': 0}
-
id: 69946117
{'hecke_orbit_code': 162129586618898336, 'n': 19, 'trace_an': -8}
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id: 69946118
{'hecke_orbit_code': 162129586618898336, 'n': 20, 'trace_an': 0}
-
id: 69946119
{'hecke_orbit_code': 162129586618898336, 'n': 21, 'trace_an': 0}
-
id: 69946120
{'hecke_orbit_code': 162129586618898336, 'n': 22, 'trace_an': 0}
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id: 69946121
{'hecke_orbit_code': 162129586618898336, 'n': 23, 'trace_an': 0}
-
id: 69946122
{'hecke_orbit_code': 162129586618898336, 'n': 24, 'trace_an': 0}
-
id: 69946123
{'hecke_orbit_code': 162129586618898336, 'n': 25, 'trace_an': 14}
-
id: 69946124
{'hecke_orbit_code': 162129586618898336, 'n': 26, 'trace_an': 0}
-
id: 69946125
{'hecke_orbit_code': 162129586618898336, 'n': 27, 'trace_an': 0}
-
id: 69946126
{'hecke_orbit_code': 162129586618898336, 'n': 28, 'trace_an': 0}
-
id: 69946127
{'hecke_orbit_code': 162129586618898336, 'n': 29, 'trace_an': -6}
-
id: 69946128
{'hecke_orbit_code': 162129586618898336, 'n': 30, 'trace_an': 0}
-
id: 69946129
{'hecke_orbit_code': 162129586618898336, 'n': 31, 'trace_an': -6}
-
id: 69946130
{'hecke_orbit_code': 162129586618898336, 'n': 32, 'trace_an': 0}
-
id: 69946131
{'hecke_orbit_code': 162129586618898336, 'n': 33, 'trace_an': 0}
-
id: 69946132
{'hecke_orbit_code': 162129586618898336, 'n': 34, 'trace_an': 0}
-
id: 69946133
{'hecke_orbit_code': 162129586618898336, 'n': 35, 'trace_an': 2}
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id: 69946134
{'hecke_orbit_code': 162129586618898336, 'n': 36, 'trace_an': 0}
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