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mf_newforms • Show schema
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{'Nk2': 4032, 'analytic_conductor': 12.2071158433413, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [448, 2, [127, 197, 129], [1, 1, 2]], 'cm_discs': [], 'conrey_index': 351, 'dim': 4, 'field_disc': 784, 'field_disc_factorization': [[2, 4], [7, 2]], 'field_poly': [4, 0, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-6, -2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011994563008, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4032, 'analytic_conductor': 12.2071158433413, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [448, 2, [127, 197, 129], [1, 1, 2]], 'conrey_index': 351, 'cusp_dim': 116, 'dim': 24, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 412367192512, 'hecke_orbit_dims': [4, 4, 16], 'label': '448.3.g', 'level': 448, '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, 7], 'level_radical': 14, 'mf_dim': 140, 'mf_new_dim': 24, 'num_forms': 3, 'prim_orbit_index': 4, 'relative_dim': 24, 'sturm_bound': 192, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 888, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1512, 0, 0, 0, 0, 0, 0, 0, 864, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, -1680, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -720, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 3120, 0, 0, 0, 0, 0, 0, 0, 2496, 0, 0, 0, 0, 0, 0, 0, 1344, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 840, 0, 0, 0, 0, 0, 0, 0, 2496, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, -1680, 0, 0, 0, 0, 0, 0, 0, -1632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1776, 0, 0, 0, 0, 0, 0, 0, -4032, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, -1080, 0, 0, 0, 0, 0, 0, 0, -6192, 0, 0, 0, 0, 0, 0, 0, 1344, 0, 0, 0, 0, 0, 0, 0, -1344, 0, 0, 0, 0, 0, 0, 0, 672, 0, 0, 0, 0, 0, 0, 0, -1296, 0, 0, 0, 0, 0, 0, 0, -2448, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -1488, 0, 0, 0, 0, 0, 0, 0, 2352, 0, 0, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, 0, 0, 1200, 0, 0, 0, 0, 0, 0, 0, 4848, 0, 0, 0, 0, 0, 0, 0, 3840, 0, 0, 0, 0, 0, 0, 0, 1632, 0, 0, 0, 0, 0, 0, 0, 2496, 0, 0, 0, 0, 0, 0, 0, -5856, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4992, 0, 0, 0, 0, 0, 0, 0, -3072, 0, 0, 0, 0, 0, 0, 0, 4848, 0, 0, 0, 0, 0, 0, 0, 2136, 0, 0, 0, 0, 0, 0, 0, 4128, 0, 0, 0, 0, 0, 0, 0, 3264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3264, 0, 0, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, -2256, 0, 0, 0, 0, 0, 0, 0, -4032, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, -2448, 0, 0, 0, 0, 0, 0, 0, -1344, 0, 0, 0, 0, 0, 0, 0, -5904, 0, 0, 0, 0, 0, 0, 0, 1944, 0, 0, 0, 0, 0, 0, 0, -8544, 0, 0, 0, 0, 0, 0, 0, -1680, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, -2352, 0, 0, 0, 0, 0, 0, 0, 4032, 0, 0, 0, 0, 0, 0, 0, -3984, 0, 0, 0, 0, 0, 0, 0, 2784, 0, 0, 0, 0, 0, 0, 0, -5568, 0, 0, 0, 0, 0, 0, 0, 3552, 0, 0, 0, 0, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 0, 0, -3072, 0, 0, 0, 0, 0, 0, 0, 1344, 0, 0, 0, 0, 0, 0, 0, 5160, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 3264, 0, 0, 0, 0, 0, 0, 0, 11424, 0, 0, 0, 0, 0, 0, 0, 1392, 0, 0, 0, 0, 0, 0, 0, 1200, 0, 0, 0, 0, 0, 0, 0, -4032, 0, 0, 0, 0, 0, 0, 0, -768, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 6096, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 672, 0, 0, 0, 0, 0, 0, 0, 13344, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -12456, 0, 0, 0, 0, 0, 0, 0, 3744, 0, 0, 0, 0, 0, 0, 0, -8976, 0, 0, 0, 0, 0, 0, 0, -10752, 0, 0, 0, 0, 0, 0, 0, 7056, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2112, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, -9696, 0, 0, 0, 0, 0, 0, 0, 6432, 0, 0, 0, 0, 0, 0, 0, 2352, 0, 0, 0, 0, 0, 0, 0, -2832, 0, 0, 0, 0, 0, 0, 0, 1344, 0, 0, 0, 0, 0, 0, 0, 816, 0, 0, 0, 0, 0, 0, 0, 3864, 0, 0, 0, 0, 0, 0, 0, 17856, 0, 0, 0, 0, 0, 0, 0, -3408, 0, 0, 0, 0, 0, 0, 0, -13248, 0, 0, 0, 0, 0, 0, 0, -10080, 0, 0, 0, 0, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 35510888
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 351, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011994563008, 'source_is_minimal': True, 'source_label': '448.3.g.b.351.1', 'source_level': 448, 'target_conrey_index': 351, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011994563008, 'target_is_minimal': True, 'target_label': '448.3.g.b.351.1', 'target_level': 448, 'twist_class_label': '448.3.g.a.351.3', 'twist_class_level': 448, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 35510889
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 351, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011994563008, 'source_is_minimal': True, 'source_label': '448.3.g.b.351.1', 'source_level': 448, 'target_conrey_index': 351, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 412367192512, 'target_is_minimal': True, 'target_label': '448.3.g.a.351.3', 'target_level': 448, 'twist_class_label': '448.3.g.a.351.3', 'twist_class_level': 448, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 35510890
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 351, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011994563008, 'source_is_minimal': True, 'source_label': '448.3.g.b.351.1', 'source_level': 448, 'target_conrey_index': 351, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011994563008, 'target_is_minimal': True, 'target_label': '448.3.g.b.351.2', 'target_level': 448, 'twist_class_label': '448.3.g.a.351.3', 'twist_class_level': 448, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 35510891
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 351, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011994563008, 'source_is_minimal': True, 'source_label': '448.3.g.b.351.1', 'source_level': 448, 'target_conrey_index': 351, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 412367192512, 'target_is_minimal': True, 'target_label': '448.3.g.a.351.4', 'target_level': 448, 'twist_class_label': '448.3.g.a.351.3', 'twist_class_level': 448, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 35510892
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 351, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011994563008, 'source_is_minimal': True, 'source_label': '448.3.g.b.351.1', 'source_level': 448, 'target_conrey_index': 1023, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 206208763648, 'target_is_minimal': False, 'target_label': '1792.3.d.a.1023.3', 'target_level': 1792, 'twist_class_label': '448.3.g.a.351.3', 'twist_class_level': 448, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 35510893
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 351, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011994563008, 'source_is_minimal': True, 'source_label': '448.3.g.b.351.1', 'source_level': 448, 'target_conrey_index': 1023, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007405463504640, 'target_is_minimal': False, 'target_label': '1792.3.d.c.1023.3', 'target_level': 1792, 'twist_class_label': '448.3.g.a.351.3', 'twist_class_level': 448, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 35510894
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 351, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011994563008, 'source_is_minimal': True, 'source_label': '448.3.g.b.351.1', 'source_level': 448, 'target_conrey_index': 1023, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007405463504640, 'target_is_minimal': False, 'target_label': '1792.3.d.c.1023.2', 'target_level': 1792, 'twist_class_label': '448.3.g.a.351.3', 'twist_class_level': 448, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 35510895
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 351, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011994563008, 'source_is_minimal': True, 'source_label': '448.3.g.b.351.1', 'source_level': 448, 'target_conrey_index': 1023, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206208763648, 'target_is_minimal': False, 'target_label': '1792.3.d.a.1023.2', 'target_level': 1792, 'twist_class_label': '448.3.g.a.351.3', 'twist_class_level': 448, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 902700
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504011994563008, 'p': 2}
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id: 902701
{'charpoly_factorization': [[[-6, -2, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 3}
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id: 902702
{'charpoly_factorization': [[[324, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 4504011994563008, 'p': 5}
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id: 902703
{'charpoly_factorization': [[[7, 0, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 7}
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id: 902704
{'charpoly_factorization': [[[-24, -4, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 11}
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id: 902705
{'charpoly_factorization': [[[1764, 0, 112, 0, 1], 1]], 'hecke_orbit_code': 4504011994563008, 'p': 13}
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id: 902706
{'charpoly_factorization': [[[-108, 4, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 17}
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id: 902707
{'charpoly_factorization': [[[162, -26, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 19}
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id: 902708
{'charpoly_factorization': [[[197136, 0, 904, 0, 1], 1]], 'hecke_orbit_code': 4504011994563008, 'p': 23}
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id: 902709
{'charpoly_factorization': [[[576, 0, 2752, 0, 1], 1]], 'hecke_orbit_code': 4504011994563008, 'p': 29}
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id: 902710
{'charpoly_factorization': [[[186624, 0, 928, 0, 1], 1]], 'hecke_orbit_code': 4504011994563008, 'p': 31}
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id: 902711
{'charpoly_factorization': [[[484416, 0, 1408, 0, 1], 1]], 'hecke_orbit_code': 4504011994563008, 'p': 37}
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id: 902712
{'charpoly_factorization': [[[-2796, -4, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 41}
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id: 902713
{'charpoly_factorization': [[[4872, 140, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 43}
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id: 902714
{'charpoly_factorization': [[[589824, 0, 5632, 0, 1], 1]], 'hecke_orbit_code': 4504011994563008, 'p': 47}
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id: 902715
{'charpoly_factorization': [[[746496, 0, 9472, 0, 1], 1]], 'hecke_orbit_code': 4504011994563008, 'p': 53}
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id: 902716
{'charpoly_factorization': [[[4194, 138, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 59}
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id: 902717
{'charpoly_factorization': [[[23794884, 0, 10656, 0, 1], 1]], 'hecke_orbit_code': 4504011994563008, 'p': 61}
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id: 902718
{'charpoly_factorization': [[[-11136, 16, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 67}
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id: 902719
{'charpoly_factorization': [[[82944, 0, 4608, 0, 1], 1]], 'hecke_orbit_code': 4504011994563008, 'p': 71}
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id: 902720
{'charpoly_factorization': [[[-332, 52, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 73}
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id: 902721
{'charpoly_factorization': [[[6718464, 0, 5632, 0, 1], 1]], 'hecke_orbit_code': 4504011994563008, 'p': 79}
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id: 902722
{'charpoly_factorization': [[[-4038, -86, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 83}
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id: 902723
{'charpoly_factorization': [[[7044, -188, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 89}
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id: 902724
{'charpoly_factorization': [[[-14684, -76, 1], 2]], 'hecke_orbit_code': 4504011994563008, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '448.3.g.b', 'level': 448, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 22825753
{'hecke_orbit_code': 4504011994563008, 'n': 1, 'trace_an': 4}
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id: 22825754
{'hecke_orbit_code': 4504011994563008, 'n': 2, 'trace_an': 0}
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id: 22825755
{'hecke_orbit_code': 4504011994563008, 'n': 3, 'trace_an': 4}
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id: 22825756
{'hecke_orbit_code': 4504011994563008, 'n': 4, 'trace_an': 0}
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id: 22825757
{'hecke_orbit_code': 4504011994563008, 'n': 5, 'trace_an': 0}
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id: 22825758
{'hecke_orbit_code': 4504011994563008, 'n': 6, 'trace_an': 0}
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id: 22825759
{'hecke_orbit_code': 4504011994563008, 'n': 7, 'trace_an': 0}
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id: 22825760
{'hecke_orbit_code': 4504011994563008, 'n': 8, 'trace_an': 0}
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id: 22825761
{'hecke_orbit_code': 4504011994563008, 'n': 9, 'trace_an': -4}
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id: 22825762
{'hecke_orbit_code': 4504011994563008, 'n': 10, 'trace_an': 0}
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id: 22825763
{'hecke_orbit_code': 4504011994563008, 'n': 11, 'trace_an': 8}
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id: 22825764
{'hecke_orbit_code': 4504011994563008, 'n': 12, 'trace_an': 0}
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id: 22825765
{'hecke_orbit_code': 4504011994563008, 'n': 13, 'trace_an': 0}
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id: 22825766
{'hecke_orbit_code': 4504011994563008, 'n': 14, 'trace_an': 0}
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id: 22825767
{'hecke_orbit_code': 4504011994563008, 'n': 15, 'trace_an': 0}
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id: 22825768
{'hecke_orbit_code': 4504011994563008, 'n': 16, 'trace_an': 0}
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id: 22825769
{'hecke_orbit_code': 4504011994563008, 'n': 17, 'trace_an': -8}
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