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mf_newforms • Show schema
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{'Nk2': 8448, 'analytic_conductor': 16.864404906894418, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 88, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [2112, 2, [2047, 133, 1409, 1729], [1, 1, 2, 1]], 'cm_discs': [], 'conrey_index': 1759, 'dim': 8, 'field_disc': 4000000, 'field_disc_factorization': [[2, 8], [5, 6]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 20, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, 0, 12, 0, 1]], [59, [4, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 481069893696, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4096, 'hecke_ring_index_factorization': [[2, 12]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 8448, 'analytic_conductor': 16.864404906894418, 'char_conductor': 88, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [2112, 2, [2047, 133, 1409, 1729], [1, 1, 2, 1]], 'conrey_index': 1759, 'cusp_dim': 360, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 59], 'hecke_orbit_code': 481069893696, 'hecke_orbit_dims': [8, 8, 16, 16], 'label': '2112.2.h', 'level': 2112, '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, 11], 'level_radical': 66, 'mf_dim': 408, 'mf_new_dim': 48, 'num_forms': 4, 'prim_orbit_index': 7, 'relative_dim': 48, 'sturm_bound': 768, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 48, 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, 48, 0, 0, 0, 0, 0, 0, 0, 0, 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, 96, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -288, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 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, -192, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 192, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 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, 288, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 96, 0, 0, 0, 0, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 5694971
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1759, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 481069893696, 'source_is_minimal': True, 'source_label': '2112.2.h.a.1759.5', 'source_level': 2112, 'target_conrey_index': 1759, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 481069893696, 'target_is_minimal': True, 'target_label': '2112.2.h.a.1759.5', 'target_level': 2112, 'twist_class_label': '2112.2.h.a.1759.3', 'twist_class_level': 2112, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 5694972
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1759, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 481069893696, 'source_is_minimal': True, 'source_label': '2112.2.h.a.1759.5', 'source_level': 2112, 'target_conrey_index': 1759, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504080697264192, 'target_is_minimal': True, 'target_label': '2112.2.h.b.1759.6', 'target_level': 2112, 'twist_class_label': '2112.2.h.a.1759.3', 'twist_class_level': 2112, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5694973
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1759, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 481069893696, 'source_is_minimal': True, 'source_label': '2112.2.h.a.1759.5', 'source_level': 2112, 'target_conrey_index': 1759, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 481069893696, 'target_is_minimal': True, 'target_label': '2112.2.h.a.1759.4', 'target_level': 2112, 'twist_class_label': '2112.2.h.a.1759.3', 'twist_class_level': 2112, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5694974
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1759, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 481069893696, 'source_is_minimal': True, 'source_label': '2112.2.h.a.1759.5', 'source_level': 2112, 'target_conrey_index': 1759, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504080697264192, 'target_is_minimal': True, 'target_label': '2112.2.h.b.1759.3', 'target_level': 2112, 'twist_class_label': '2112.2.h.a.1759.3', 'twist_class_level': 2112, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 5694975
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1759, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 481069893696, 'source_is_minimal': True, 'source_label': '2112.2.h.a.1759.5', 'source_level': 2112, 'target_conrey_index': 1759, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 481069893696, 'target_is_minimal': True, 'target_label': '2112.2.h.a.1759.6', 'target_level': 2112, 'twist_class_label': '2112.2.h.a.1759.3', 'twist_class_level': 2112, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 5694976
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1759, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 481069893696, 'source_is_minimal': True, 'source_label': '2112.2.h.a.1759.5', 'source_level': 2112, 'target_conrey_index': 1759, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504080697264192, 'target_is_minimal': True, 'target_label': '2112.2.h.b.1759.5', 'target_level': 2112, 'twist_class_label': '2112.2.h.a.1759.3', 'twist_class_level': 2112, 'twisting_char_label': '44.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 5694977
{'conductor': 88, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1759, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 481069893696, 'source_is_minimal': True, 'source_label': '2112.2.h.a.1759.5', 'source_level': 2112, 'target_conrey_index': 1759, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504080697264192, 'target_is_minimal': True, 'target_label': '2112.2.h.b.1759.4', 'target_level': 2112, 'twist_class_label': '2112.2.h.a.1759.3', 'twist_class_level': 2112, 'twisting_char_label': '88.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 5694978
{'conductor': 88, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1759, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 481069893696, 'source_is_minimal': True, 'source_label': '2112.2.h.a.1759.5', 'source_level': 2112, 'target_conrey_index': 1759, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 481069893696, 'target_is_minimal': True, 'target_label': '2112.2.h.a.1759.3', 'target_level': 2112, 'twist_class_label': '2112.2.h.a.1759.3', 'twist_class_level': 2112, 'twisting_char_label': '88.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2432150
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 481069893696, 'p': 2}
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id: 2432151
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 481069893696, 'p': 3}
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id: 2432152
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 5}
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id: 2432153
{'charpoly_factorization': [[[80, 0, -20, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 7}
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id: 2432154
{'charpoly_factorization': [[[121, 44, 6, 4, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 11}
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id: 2432155
{'charpoly_factorization': [[[80, 0, -20, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 13}
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id: 2432156
{'charpoly_factorization': [[[1280, 0, 80, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 17}
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id: 2432157
{'charpoly_factorization': [[[80, 0, 40, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 19}
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id: 2432158
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 23}
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id: 2432159
{'charpoly_factorization': [[[80, 0, -40, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 29}
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id: 2432160
{'charpoly_factorization': [[[20, 0, 1], 4]], 'hecke_orbit_code': 481069893696, 'p': 31}
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id: 2432161
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 37}
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id: 2432162
{'charpoly_factorization': [[[1280, 0, 80, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 41}
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id: 2432163
{'charpoly_factorization': [[[80, 0, 40, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 43}
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id: 2432164
{'charpoly_factorization': [[[16, 0, 28, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 47}
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id: 2432165
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 53}
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id: 2432166
{'charpoly_factorization': [[[4, 1], 8]], 'hecke_orbit_code': 481069893696, 'p': 59}
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id: 2432167
{'charpoly_factorization': [[[80, 0, -100, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 61}
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id: 2432168
{'charpoly_factorization': [[[-8, 1], 8]], 'hecke_orbit_code': 481069893696, 'p': 67}
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id: 2432169
{'charpoly_factorization': [[[16, 0, 188, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 71}
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id: 2432170
{'charpoly_factorization': [[[1280, 0, 80, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 73}
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id: 2432171
{'charpoly_factorization': [[[28880, 0, -340, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 79}
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id: 2432172
{'charpoly_factorization': [[[9680, 0, 200, 0, 1], 2]], 'hecke_orbit_code': 481069893696, 'p': 83}
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id: 2432173
{'charpoly_factorization': [[[-164, 8, 1], 4]], 'hecke_orbit_code': 481069893696, 'p': 89}
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id: 2432174
{'charpoly_factorization': [[[44, -16, 1], 4]], 'hecke_orbit_code': 481069893696, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '2112.2.h.a', 'level': 2112, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 9415260
{'hecke_orbit_code': 481069893696, 'n': 1, 'trace_an': 8}
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id: 9415261
{'hecke_orbit_code': 481069893696, 'n': 2, 'trace_an': 0}
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id: 9415262
{'hecke_orbit_code': 481069893696, 'n': 3, 'trace_an': -8}
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id: 9415263
{'hecke_orbit_code': 481069893696, 'n': 4, 'trace_an': 0}
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id: 9415264
{'hecke_orbit_code': 481069893696, 'n': 5, 'trace_an': 0}
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id: 9415265
{'hecke_orbit_code': 481069893696, 'n': 6, 'trace_an': 0}
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id: 9415266
{'hecke_orbit_code': 481069893696, 'n': 7, 'trace_an': 0}
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id: 9415267
{'hecke_orbit_code': 481069893696, 'n': 8, 'trace_an': 0}
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id: 9415268
{'hecke_orbit_code': 481069893696, 'n': 9, 'trace_an': 8}
-
id: 9415269
{'hecke_orbit_code': 481069893696, 'n': 10, 'trace_an': 0}
-
id: 9415270
{'hecke_orbit_code': 481069893696, 'n': 11, 'trace_an': -8}
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id: 9415271
{'hecke_orbit_code': 481069893696, 'n': 12, 'trace_an': 0}
-
id: 9415272
{'hecke_orbit_code': 481069893696, 'n': 13, 'trace_an': 0}
-
id: 9415273
{'hecke_orbit_code': 481069893696, 'n': 14, 'trace_an': 0}
-
id: 9415274
{'hecke_orbit_code': 481069893696, 'n': 15, 'trace_an': 0}
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id: 9415275
{'hecke_orbit_code': 481069893696, 'n': 16, 'trace_an': 0}
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id: 9415276
{'hecke_orbit_code': 481069893696, 'n': 17, 'trace_an': 0}
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id: 9415277
{'hecke_orbit_code': 481069893696, 'n': 18, 'trace_an': 0}
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id: 9415278
{'hecke_orbit_code': 481069893696, 'n': 19, 'trace_an': 0}
-
id: 9415279
{'hecke_orbit_code': 481069893696, 'n': 20, 'trace_an': 0}
-
id: 9415280
{'hecke_orbit_code': 481069893696, 'n': 21, 'trace_an': 0}
-
id: 9415281
{'hecke_orbit_code': 481069893696, 'n': 22, 'trace_an': 0}
-
id: 9415282
{'hecke_orbit_code': 481069893696, 'n': 23, 'trace_an': 0}
-
id: 9415283
{'hecke_orbit_code': 481069893696, 'n': 24, 'trace_an': 0}
-
id: 9415284
{'hecke_orbit_code': 481069893696, 'n': 25, 'trace_an': -8}
-
id: 9415285
{'hecke_orbit_code': 481069893696, 'n': 26, 'trace_an': 0}
-
id: 9415286
{'hecke_orbit_code': 481069893696, 'n': 27, 'trace_an': -8}
-
id: 9415287
{'hecke_orbit_code': 481069893696, 'n': 28, 'trace_an': 0}
-
id: 9415288
{'hecke_orbit_code': 481069893696, 'n': 29, 'trace_an': 0}
-
id: 9415289
{'hecke_orbit_code': 481069893696, 'n': 30, 'trace_an': 0}
-
id: 9415290
{'hecke_orbit_code': 481069893696, 'n': 31, 'trace_an': 0}
-
id: 9415291
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