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{'Nk2': 12996, 'analytic_conductor': 25.943395616713996, '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': [3249, 1, [362, 2890], [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]], [13, [-19, -9, 3, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463079089, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3249.2.a.x', 'level': 3249, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, '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}+\\beta _{2}q^{4}+(1-\\beta _{1})q^{5}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3249.2.a', 'trace_display': [0, 0, 3, -3], 'trace_hash': 2099732836996940364, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.821', 'prec': 17}, {'__RealLiteral__': 0, 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'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.532088886237956, 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463079089, 'label': '3249.2.a.x.1.1', 'level': 3249, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [23, 33, 41, 36], 'ALdims_eis_new': [0, 0, 8, 9], 'ALdims_eis_old': [19, 20, 12, 11], 'ALdims_old': [58, 57, 49, 44], 'Nk2': 12996, 'analytic_conductor': 25.943395616713996, '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': [3249, 1, [362, 2890], [1, 1]], 'conrey_index': 1, 'cusp_dim': 341, 'dim': 133, 'eis_dim': 79, 'eis_new_dim': 17, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33557681, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '3249.2.a', 'level': 3249, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'mf_dim': 420, 'mf_new_dim': 150, 'num_forms': 40, 'plus_dim': 59, 'prim_orbit_index': 1, 'relative_dim': 133, 'sturm_bound': 760, 'trace_bound': 91, 'trace_display': [-3, 0, 0, 2], 'traces': [133, -3, 0, 121, 0, 0, 2, -3, 0, 10, 2, 0, -6, 4, 0, 97, -6, 0, 0, 14, 0, 20, 8, 0, 93, 6, 0, 34, -4, 0, 4, 21, 0, 22, 20, 0, -20, 0, 0, 66, -16, 0, 18, -14, 0, 8, -2, 0, 75, -1, 0, -14, 10, 0, 8, 0, 0, -36, -26, 0, -20, 22, 0, 31, -36, 0, 8, 26, 0, -24, 6, 0, 2, -26, 0, 0, 12, 0, -8, 60, 0, 24, 44, 0, -28, 0, 0, 12, 14, 0, 20, 84, 0, -24, 0, 0, 10, -47, 0, -3, 6, 0, 18, -28, 0, -90, -10, 0, -42, 12, 0, 78, 8, 0, 4, -38, 0, -114, 20, 0, 67, -14, 0, -48, 18, 0, 38, -3, 0, -12, -24, 0, 0, -16, 0, 54, 10, 0, 46, 30, 0, 12, 8, 0, 26, 54, 0, -138, 30, 0, 42, 0, 0, -16, -8, 0, 2, -54, 0, 146, 20, 0, 32, -2, 0, 76, 34, 0, 29, 0, 0, 98, -20, 0, 74, 28, 0, -72, -50, 0, -36, 194, 0, -48, 34, 0, 26, -18, 0, 0, 20, 0, 14, 54, 0, 1, 16, 0, -14, 3, 0, -30, -26, 0, -2, -6, 0, -38, 0, 0, 22, -10, 0, -24, 96, 0, 28, -58, 0, -16, -44, 0, -6, -16, 0, 70, 36, 0, -124, -40, 0, -104, 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0, 136, 33, 0, 320, 48, 0, 154, -308, 0, 130, -6, 0, 156, 32, 0, 4, -84, 0, -254, -148, 0, 0, 20, 0, -110, 40, 0, 12, 478, 0, 50, 88, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48482950
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463079089, 'source_is_minimal': False, 'source_label': '3249.2.a.x.1.1', 'source_level': 3249, '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48482951
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463079089, 'source_is_minimal': False, 'source_label': '3249.2.a.x.1.1', 'source_level': 3249, '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': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48482952
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463079089, 'source_is_minimal': False, 'source_label': '3249.2.a.x.1.1', 'source_level': 3249, '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': '19.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48482953
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463079089, 'source_is_minimal': False, 'source_label': '3249.2.a.x.1.1', 'source_level': 3249, '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': '19.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 48482954
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463079089, 'source_is_minimal': False, 'source_label': '3249.2.a.x.1.1', 'source_level': 3249, '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': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48482955
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463079089, 'source_is_minimal': False, 'source_label': '3249.2.a.x.1.1', 'source_level': 3249, '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': '57.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48482956
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463079089, 'source_is_minimal': False, 'source_label': '3249.2.a.x.1.1', 'source_level': 3249, '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': '57.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48482957
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463079089, 'source_is_minimal': False, 'source_label': '3249.2.a.x.1.1', 'source_level': 3249, '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': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 48482958
{'conductor': 228, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463079089, 'source_is_minimal': False, 'source_label': '3249.2.a.x.1.1', 'source_level': 3249, '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': '228.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 48482959
{'conductor': 228, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463079089, 'source_is_minimal': False, 'source_label': '3249.2.a.x.1.1', 'source_level': 3249, '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': '228.143', 'twisting_conrey_index': 143, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3082550
{'charpoly_factorization': [[[-1, -3, 0, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 2}
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id: 3082551
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 103582791463079089, 'p': 3}
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id: 3082552
{'charpoly_factorization': [[[3, 0, -3, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 5}
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id: 3082553
{'charpoly_factorization': [[[-1, 0, 3, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 7}
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id: 3082554
{'charpoly_factorization': [[[37, -18, -3, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 11}
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id: 3082555
{'charpoly_factorization': [[[-19, -9, 3, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 13}
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id: 3082556
{'charpoly_factorization': [[[53, 6, -9, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 17}
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id: 3082557
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 103582791463079089, 'p': 19}
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id: 3082558
{'charpoly_factorization': [[[-73, -15, 6, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 23}
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id: 3082559
{'charpoly_factorization': [[[53, -21, -9, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 29}
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id: 3082560
{'charpoly_factorization': [[[489, 189, 24, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 31}
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id: 3082561
{'charpoly_factorization': [[[-51, -9, 6, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 37}
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id: 3082562
{'charpoly_factorization': [[[-51, -27, 6, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 41}
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id: 3082563
{'charpoly_factorization': [[[19, 111, 21, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 43}
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id: 3082564
{'charpoly_factorization': [[[-213, -108, -3, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 47}
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id: 3082565
{'charpoly_factorization': [[[-289, 51, 18, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 53}
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id: 3082566
{'charpoly_factorization': [[[89, 66, 15, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 59}
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id: 3082567
{'charpoly_factorization': [[[37, -66, 9, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 61}
-
id: 3082568
{'charpoly_factorization': [[[296, -72, -6, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 67}
-
id: 3082569
{'charpoly_factorization': [[[-153, -9, 9, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 71}
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id: 3082570
{'charpoly_factorization': [[[-109, -51, 6, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 73}
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id: 3082571
{'charpoly_factorization': [[[-53, -21, 9, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 79}
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id: 3082572
{'charpoly_factorization': [[[51, 36, -15, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 83}
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id: 3082573
{'charpoly_factorization': [[[-1125, -225, 0, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 89}
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id: 3082574
{'charpoly_factorization': [[[269, -45, -6, 1], 1]], 'hecke_orbit_code': 103582791463079089, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '3249.2.a.x', 'level': 3249, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65874859
{'hecke_orbit_code': 103582791463079089, 'n': 1, 'trace_an': 3}
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id: 65874860
{'hecke_orbit_code': 103582791463079089, 'n': 2, 'trace_an': 0}
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id: 65874861
{'hecke_orbit_code': 103582791463079089, 'n': 3, 'trace_an': 0}
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id: 65874862
{'hecke_orbit_code': 103582791463079089, 'n': 4, 'trace_an': 0}
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id: 65874863
{'hecke_orbit_code': 103582791463079089, 'n': 5, 'trace_an': 3}
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id: 65874864
{'hecke_orbit_code': 103582791463079089, 'n': 6, 'trace_an': 0}
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id: 65874865
{'hecke_orbit_code': 103582791463079089, 'n': 7, 'trace_an': -3}
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id: 65874866
{'hecke_orbit_code': 103582791463079089, 'n': 8, 'trace_an': 3}
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id: 65874867
{'hecke_orbit_code': 103582791463079089, 'n': 9, 'trace_an': 0}
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id: 65874868
{'hecke_orbit_code': 103582791463079089, 'n': 10, 'trace_an': -6}
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id: 65874869
{'hecke_orbit_code': 103582791463079089, 'n': 11, 'trace_an': 3}
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id: 65874870
{'hecke_orbit_code': 103582791463079089, 'n': 12, 'trace_an': 0}
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id: 65874871
{'hecke_orbit_code': 103582791463079089, 'n': 13, 'trace_an': -3}
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id: 65874872
{'hecke_orbit_code': 103582791463079089, 'n': 14, 'trace_an': -6}
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id: 65874873
{'hecke_orbit_code': 103582791463079089, 'n': 15, 'trace_an': 0}
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id: 65874874
{'hecke_orbit_code': 103582791463079089, 'n': 16, 'trace_an': -6}
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id: 65874875
{'hecke_orbit_code': 103582791463079089, 'n': 17, 'trace_an': 9}
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id: 65874876
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