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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [23, 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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 521397, 'field_disc_factorization': [[3, 4], [41, 1], [157, 1]], 'field_poly': [12, 18, -3, -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': [[3, [12, 18, -3, -9, 0, 1]], [7, [-200, 20, 76, -17, -4, 1]], [11, [24, 48, -6, -15, 0, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482044408, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4600.2.a.bf', 'level': 4600, '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, 5, 23], 'level_radical': 230, 'minimal_twist': '4600.2.a.bd', 'nf_label': '5.5.521397.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}+(1+\\beta _{3})q^{7}+(1+\\beta _{2})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4600.2.a', 'trace_display': [0, 0, 0, 4], 'trace_hash': 1687654933123658481, 'trace_moments': 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mf_newspaces • Show schema
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{'ALdims': [13, 14, 14, 12, 12, 11, 13, 15], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [63, 85, 83, 65, 69, 82, 82, 64], 'Nk2': 18400, 'analytic_conductor': 36.731184929788974, '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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 104, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33559032, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 7, 7, 8, 8], 'label': '4600.2.a', 'level': 4600, '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, 5, 23], 'level_radical': 230, 'mf_dim': 744, 'mf_new_dim': 104, 'num_forms': 37, 'plus_dim': 49, 'prim_orbit_index': 1, 'relative_dim': 104, 'sturm_bound': 1440, 'trace_bound': 11, 'trace_display': [0, 0, 0, -8], 'traces': [104, 0, 0, 0, 0, 0, -8, 0, 96, 0, 2, 0, -4, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, -12, 0, 16, 0, -20, 0, -12, 0, 0, 0, 10, 0, 20, 0, 4, 0, -10, 0, 0, 0, -4, 0, 112, 0, 40, 0, -18, 0, 0, 0, -32, 0, 48, 0, 14, 0, 20, 0, 0, 0, 6, 0, -4, 0, 28, 0, -16, 0, 0, 0, -8, 0, -68, 0, 88, 0, 14, 0, 0, 0, 20, 0, 12, 0, -60, 0, 4, 0, 0, 0, -16, 0, 74, 0, -80, 0, -28, 0, 0, 0, 18, 0, -66, 0, -60, 0, 44, 0, 0, 0, 0, 0, -24, 0, 88, 0, 44, 0, 0, 0, -28, 0, 16, 0, 76, 0, -16, 0, 0, 0, -28, 0, -40, 0, 36, 0, 56, 0, 0, 0, 24, 0, -30, 0, 44, 0, 36, 0, 0, 0, -18, 0, 56, 0, -8, 0, -16, 0, 0, 0, 64, 0, 92, 0, -26, 0, 36, 0, 0, 0, 16, 0, 36, 0, -54, 0, 24, 0, 0, 0, -28, 0, 52, 0, -56, 0, 28, 0, 0, 0, 72, 0, 32, 0, -144, 0, 52, 0, 0, 0, 0, 0, -64, 0, -20, 0, 36, 0, 0, 0, 84, 0, -16, 0, -20, 0, -48, 0, 0, 0, 10, 0, 62, 0, 112, 0, 12, 0, 0, 0, 112, 0, 28, 0, 84, 0, 44, 0, 0, 0, -44, 0, -128, 0, -18, 0, 2, 0, 0, 0, -48, 0, -64, 0, 188, 0, 24, 0, 0, 0, -80, 0, -56, 0, -16, 0, -28, 0, 0, 0, 8, 0, -56, 0, -60, 0, 82, 0, 0, 0, 60, 0, 148, 0, -44, 0, 14, 0, 0, 0, -84, 0, 24, 0, -128, 0, 48, 0, 0, 0, -68, 0, -164, 0, 28, 0, 4, 0, 0, 0, 4, 0, 128, 0, -100, 0, 92, 0, 0, 0, -8, 0, -4, 0, 24, 0, 46, 0, 0, 0, -56, 0, -32, 0, 68, 0, -184, 0, 0, 0, -12, 0, -8, 0, -28, 0, -84, 0, 0, 0, 56, 0, 28, 0, 64, 0, 56, 0, 0, 0, -16, 0, -100, 0, -24, 0, -14, 0, 0, 0, 36, 0, -102, 0, -84, 0, -96, 0, 0, 0, 30, 0, 62, 0, 0, 0, 36, 0, 0, 0, -36, 0, -56, 0, 4, 0, -60, 0, 0, 0, 64, 0, -80, 0, 4, 0, -8, 0, 0, 0, -60, 0, -30, 0, 134, 0, -96, 0, 0, 0, -112, 0, 124, 0, 116, 0, -64, 0, 0, 0, 10, 0, -12, 0, 192, 0, -32, 0, 0, 0, -192, 0, -72, 0, -12, 0, 204, 0, 0, 0, 8, 0, 216, 0, -48, 0, -64, 0, 0, 0, -86, 0, -48, 0, 16, 0, -108, 0, 0, 0, -90, 0, -84, 0, -128, 0, -12, 0, 0, 0, -36, 0, 8, 0, -64, 0, -84, 0, 0, 0, 12, 0, 16, 0, 0, 0, 100, 0, 0, 0, -132, 0, 8, 0, -60, 0, -184, 0, 0, 0, -100, 0, 0, 0, 8, 0, -130, 0, 0, 0, 156, 0, 104, 0, 200, 0, -20, 0, 0, 0, 52, 0, 74, 0, -136, 0, -60, 0, 0, 0, -20, 0, 22, 0, -4, 0, -88, 0, 0, 0, 66, 0, -20, 0, -220, 0, -82, 0, 0, 0, 192, 0, -76, 0, 90, 0, 236, 0, 0, 0, -72, 0, 32, 0, 16, 0, 104, 0, 0, 0, -92, 0, -88, 0, 284, 0, -4, 0, 0, 0, -36, 0, 8, 0, -212, 0, -62, 0, 0, 0, -96, 0, -140, 0, 4, 0, 46, 0, 0, 0, -136, 0, 50, 0, -16, 0, -40, 0, 0, 0, 208, 0, 68, 0, -72, 0, 136, 0, 0, 0, -100, 0, -32, 0, 124, 0, 42, 0, 0, 0, 84, 0, -176, 0, -28, 0, 44, 0, 0, 0, 76, 0, 254, 0, -34, 0, 20, 0, 0, 0, -4, 0, 48, 0, -176, 0, -40, 0, 0, 0, 174, 0, -120, 0, -180, 0, -92, 0, 0, 0, -72, 0, -4, 0, -316, 0, 88, 0, 0, 0, 60, 0, 212, 0, -78, 0, 104, 0, 0, 0, 72, 0, 206, 0, 60, 0, 24, 0, 0, 0, -4, 0, 40, 0, -88, 0, 100, 0, 0, 0, 40, 0, 360, 0, 156, 0, -62, 0, 0, 0, 164, 0, -240, 0, 256, 0, 204, 0, 0, 0, 282, 0, 40, 0, -24, 0, 180, 0, 0, 0, -130, 0, -20, 0, 64, 0, -56, 0, 0, 0, 48, 0, -220, 0, 404, 0, -134, 0, 0, 0, 48, 0, 0, 0, 60, 0, -44, 0, 0, 0, 150, 0, 280, 0, 48, 0, 116, 0, 0, 0, -94, 0, 92, 0, 96, 0, -112, 0, 0, 0, 140, 0, 32, 0, 148, 0, -224, 0, 0, 0, 52, 0, -48, 0, 16, 0, -4, 0, 0, 0, 2, 0, -236, 0, 100, 0, -128, 0, 0, 0, 44, 0, -76, 0, 108, 0, -28, 0, 0, 0, -32, 0, 48, 0, 38, 0, 128, 0, 0, 0, -84, 0, -12, 0, 132, 0, -92, 0, 0, 0, 224, 0, 128, 0, -432, 0, -12, 0, 0, 0, -12, 0, -232, 0, 172, 0, -192, 0, 0, 0, 52, 0, -116, 0, -38, 0, 16, 0, 0, 0, 8, 0, 12, 0, -28, 0, 120, 0, 0, 0, -58, 0, -432, 0, -420, 0, 100, 0, 0, 0, 68, 0, -16, 0, 228, 0, -12, 0, 0, 0, -224, 0, -168, 0, -118, 0, -116, 0, 0, 0, -4, 0, -312, 0, -258, 0, -20, 0, 0, 0, 136, 0, -60, 0, -128, 0, -164, 0, 0, 0, 92, 0, -64, 0, -92, 0, 274, 0, 0, 0, -116, 0, -12, 0, 22, 0, -284, 0, 0, 0, -128, 0, 288, 0, -338, 0, -36, 0, 0, 0, 52, 0, -6, 0, 64, 0, -84, 0, 0, 0, 28, 0, -20, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48755087
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 139611588482044408, 'source_is_minimal': True, 'source_label': '4600.2.a.bf.1.5', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 139611588482044408, 'target_is_minimal': True, 'target_label': '4600.2.a.bf.1.5', 'target_level': 4600, 'twist_class_label': '4600.2.a.bd.1.1', 'twist_class_level': 4600, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48755088
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 139611588482044408, 'source_is_minimal': True, 'source_label': '4600.2.a.bf.1.5', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 319755573576868848, 'target_is_minimal': False, 'target_label': '9200.2.a.ct.1.1', 'target_level': 9200, 'twist_class_label': '4600.2.a.bd.1.1', 'twist_class_level': 4600, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48755089
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 139611588482044408, 'source_is_minimal': True, 'source_label': '4600.2.a.bf.1.5', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079466713616888, 'target_is_minimal': False, 'target_label': '4600.2.e.w.4049.1', 'target_level': 4600, 'twist_class_label': '4600.2.a.bd.1.1', 'twist_class_level': 4600, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48755090
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 139611588482044408, 'source_is_minimal': True, 'source_label': '4600.2.a.bf.1.5', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 99079466713616888, 'target_is_minimal': False, 'target_label': '4600.2.e.w.4049.10', 'target_level': 4600, 'twist_class_label': '4600.2.a.bd.1.1', 'twist_class_level': 4600, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48755091
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 139611588482044408, 'source_is_minimal': True, 'source_label': '4600.2.a.bf.1.5', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227303416, 'target_is_minimal': True, 'target_label': '4600.2.a.bd.1.1', 'target_level': 4600, 'twist_class_label': '4600.2.a.bd.1.1', 'twist_class_level': 4600, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48755092
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 139611588482044408, 'source_is_minimal': True, 'source_label': '4600.2.a.bf.1.5', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 328762772831609840, 'target_is_minimal': False, 'target_label': '9200.2.a.cv.1.5', 'target_level': 9200, 'twist_class_label': '4600.2.a.bd.1.1', 'twist_class_level': 4600, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3647025
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 139611588482044408, 'p': 2}
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id: 3647026
{'charpoly_factorization': [[[12, 18, -3, -9, 0, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 3}
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id: 3647027
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 139611588482044408, 'p': 5}
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id: 3647028
{'charpoly_factorization': [[[-200, 20, 76, -17, -4, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 7}
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id: 3647029
{'charpoly_factorization': [[[24, 48, -6, -15, 0, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 11}
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id: 3647030
{'charpoly_factorization': [[[-347, 287, 91, -32, -4, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 13}
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id: 3647031
{'charpoly_factorization': [[[384, -672, 360, -48, -6, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 17}
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id: 3647032
{'charpoly_factorization': [[[24, 48, -6, -15, 0, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 19}
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id: 3647033
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 139611588482044408, 'p': 23}
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id: 3647034
{'charpoly_factorization': [[[-2787, -273, 339, 0, -12, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 29}
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id: 3647035
{'charpoly_factorization': [[[-228, -516, 45, 93, 18, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 31}
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id: 3647036
{'charpoly_factorization': [[[-608, -928, 496, -32, -10, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 37}
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id: 3647037
{'charpoly_factorization': [[[453, 1311, -237, -66, 6, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 41}
-
id: 3647038
{'charpoly_factorization': [[[-1472, -112, 352, -23, -10, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 43}
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id: 3647039
{'charpoly_factorization': [[[4, -334, 301, 97, -22, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 47}
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id: 3647040
{'charpoly_factorization': [[[256, 704, 400, -92, -10, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 53}
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id: 3647041
{'charpoly_factorization': [[[-3004, 1322, 107, -83, 1, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 59}
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id: 3647042
{'charpoly_factorization': [[[7648, 12800, 1072, -200, -10, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 61}
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id: 3647043
{'charpoly_factorization': [[[9728, -8704, 2408, -188, -8, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 67}
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id: 3647044
{'charpoly_factorization': [[[8084, 5960, 689, -179, -8, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 71}
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id: 3647045
{'charpoly_factorization': [[[28569, 10407, 39, -222, -6, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 73}
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id: 3647046
{'charpoly_factorization': [[[-1728, 5184, -36, -153, 0, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 79}
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id: 3647047
{'charpoly_factorization': [[[2392, 524, -1112, -191, 2, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 83}
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id: 3647048
{'charpoly_factorization': [[[3104, -4864, 1280, -44, -14, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 89}
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id: 3647049
{'charpoly_factorization': [[[96, 576, 816, -144, -6, 1], 1]], 'hecke_orbit_code': 139611588482044408, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '4600.2.a.bf', 'level': 4600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68795161
{'hecke_orbit_code': 139611588482044408, 'n': 1, 'trace_an': 5}
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id: 68795162
{'hecke_orbit_code': 139611588482044408, 'n': 2, 'trace_an': 0}
-
id: 68795163
{'hecke_orbit_code': 139611588482044408, 'n': 3, 'trace_an': 0}
-
id: 68795164
{'hecke_orbit_code': 139611588482044408, 'n': 4, 'trace_an': 0}
-
id: 68795165
{'hecke_orbit_code': 139611588482044408, 'n': 5, 'trace_an': 0}
-
id: 68795166
{'hecke_orbit_code': 139611588482044408, 'n': 6, 'trace_an': 0}
-
id: 68795167
{'hecke_orbit_code': 139611588482044408, 'n': 7, 'trace_an': 4}
-
id: 68795168
{'hecke_orbit_code': 139611588482044408, 'n': 8, 'trace_an': 0}
-
id: 68795169
{'hecke_orbit_code': 139611588482044408, 'n': 9, 'trace_an': 3}
-
id: 68795170
{'hecke_orbit_code': 139611588482044408, 'n': 10, 'trace_an': 0}
-
id: 68795171
{'hecke_orbit_code': 139611588482044408, 'n': 11, 'trace_an': 0}
-
id: 68795172
{'hecke_orbit_code': 139611588482044408, 'n': 12, 'trace_an': 0}
-
id: 68795173
{'hecke_orbit_code': 139611588482044408, 'n': 13, 'trace_an': 4}
-
id: 68795174
{'hecke_orbit_code': 139611588482044408, 'n': 14, 'trace_an': 0}
-
id: 68795175
{'hecke_orbit_code': 139611588482044408, 'n': 15, 'trace_an': 0}
-
id: 68795176
{'hecke_orbit_code': 139611588482044408, 'n': 16, 'trace_an': 0}
-
id: 68795177
{'hecke_orbit_code': 139611588482044408, 'n': 17, 'trace_an': 6}
-
id: 68795178
{'hecke_orbit_code': 139611588482044408, 'n': 18, 'trace_an': 0}
-
id: 68795179
{'hecke_orbit_code': 139611588482044408, 'n': 19, 'trace_an': 0}
-
id: 68795180
{'hecke_orbit_code': 139611588482044408, 'n': 20, 'trace_an': 0}
-
id: 68795181
{'hecke_orbit_code': 139611588482044408, 'n': 21, 'trace_an': 0}
-
id: 68795182
{'hecke_orbit_code': 139611588482044408, 'n': 22, 'trace_an': 0}
-
id: 68795183
{'hecke_orbit_code': 139611588482044408, 'n': 23, 'trace_an': -5}
-
id: 68795184
{'hecke_orbit_code': 139611588482044408, 'n': 24, 'trace_an': 0}
-
id: 68795185
{'hecke_orbit_code': 139611588482044408, 'n': 25, 'trace_an': 0}
-
id: 68795186
{'hecke_orbit_code': 139611588482044408, 'n': 26, 'trace_an': 0}
-
id: 68795187
{'hecke_orbit_code': 139611588482044408, 'n': 27, 'trace_an': 9}
-
id: 68795188
{'hecke_orbit_code': 139611588482044408, 'n': 28, 'trace_an': 0}
-
id: 68795189
{'hecke_orbit_code': 139611588482044408, 'n': 29, 'trace_an': 12}
-
id: 68795190
{'hecke_orbit_code': 139611588482044408, 'n': 30, 'trace_an': 0}
-
id: 68795191
{'hecke_orbit_code': 139611588482044408, 'n': 31, 'trace_an': -18}
-
id: 68795192
{'hecke_orbit_code': 139611588482044408, 'n': 32, 'trace_an': 0}
-
id: 68795193
{'hecke_orbit_code': 139611588482044408, 'n': 33, 'trace_an': 6}
-
id: 68795194
{'hecke_orbit_code': 139611588482044408, 'n': 34, 'trace_an': 0}
-
id: 68795195
{'hecke_orbit_code': 139611588482044408, 'n': 35, 'trace_an': 0}
-
id: 68795196
{'hecke_orbit_code': 139611588482044408, 'n': 36, 'trace_an': 0}
-
id: 68795197
{'hecke_orbit_code': 139611588482044408, 'n': 37, 'trace_an': 10}
-
id: 68795198
{'hecke_orbit_code': 139611588482044408, 'n': 38, 'trace_an': 0}
-
id: 68795199
{'hecke_orbit_code': 139611588482044408, 'n': 39, 'trace_an': 9}
-
id: 68795200
{'hecke_orbit_code': 139611588482044408, 'n': 40, 'trace_an': 0}
-
id: 68795201
{'hecke_orbit_code': 139611588482044408, 'n': 41, 'trace_an': -6}
-
id: 68795202
{'hecke_orbit_code': 139611588482044408, 'n': 42, 'trace_an': 0}
-
id: 68795203
{'hecke_orbit_code': 139611588482044408, 'n': 43, 'trace_an': 10}
-
id: 68795204
{'hecke_orbit_code': 139611588482044408, 'n': 44, 'trace_an': 0}
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