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mf_newforms • Show schema
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{'Nk2': 13056, 'analytic_conductor': 26.063171219745918, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [3264, 2, [511, 2245, 2177, 2689], [2, 1, 2, 2]], 'cm_discs': [], 'conrey_index': 1633, 'dim': 8, 'field_disc': 303595776, 'field_disc_factorization': [[2, 8], [3, 4], [11, 4]], 'field_poly': [81, 0, 45, 0, 16, 0, 5, 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': [[5, [4, 0, 7, 0, 1]], [7, [-12, 0, 1]], [23, [576, 0, -51, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525541022534848, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 13056, 'analytic_conductor': 26.063171219745918, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [3264, 2, [511, 2245, 2177, 2689], [2, 1, 2, 2]], 'conrey_index': 1633, 'cusp_dim': 552, 'dim': 64, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 23], 'hecke_orbit_code': 343630941376, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 8, 8, 8, 8, 16], 'label': '3264.2.f', 'level': 3264, '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, 17], 'level_radical': 102, 'mf_dim': 600, 'mf_new_dim': 64, 'num_forms': 10, 'prim_orbit_index': 2, 'relative_dim': 64, 'sturm_bound': 1152, 'trace_bound': 25, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, -64, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -32, 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, 192, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 64, 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, 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, -192, 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, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -32, 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, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 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, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 160, 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, 96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, -128, 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, -192, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 576, 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, 160, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 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, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -160, 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: 46289413
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1633, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 31525541022534848, 'source_is_minimal': True, 'source_label': '3264.2.f.h.1633.8', 'source_level': 3264, 'target_conrey_index': 1633, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 31525541022534848, 'target_is_minimal': True, 'target_label': '3264.2.f.h.1633.8', 'target_level': 3264, 'twist_class_label': '3264.2.f.h.1633.1', 'twist_class_level': 3264, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46289414
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1633, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 31525541022534848, 'source_is_minimal': True, 'source_label': '3264.2.f.h.1633.8', 'source_level': 3264, 'target_conrey_index': 1633, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525541022534848, 'target_is_minimal': True, 'target_label': '3264.2.f.h.1633.4', 'target_level': 3264, 'twist_class_label': '3264.2.f.h.1633.1', 'twist_class_level': 3264, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46289415
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1633, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 31525541022534848, 'source_is_minimal': True, 'source_label': '3264.2.f.h.1633.8', 'source_level': 3264, 'target_conrey_index': 1633, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 31525541022534848, 'target_is_minimal': True, 'target_label': '3264.2.f.h.1633.5', 'target_level': 3264, 'twist_class_label': '3264.2.f.h.1633.1', 'twist_class_level': 3264, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46289416
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1633, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 31525541022534848, 'source_is_minimal': True, 'source_label': '3264.2.f.h.1633.8', 'source_level': 3264, 'target_conrey_index': 1633, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022534848, 'target_is_minimal': True, 'target_label': '3264.2.f.h.1633.1', 'target_level': 3264, 'twist_class_label': '3264.2.f.h.1633.1', 'twist_class_level': 3264, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3090925
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31525541022534848, 'p': 2}
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id: 3090926
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 31525541022534848, 'p': 3}
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id: 3090927
{'charpoly_factorization': [[[4, 0, 7, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 5}
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id: 3090928
{'charpoly_factorization': [[[-12, 0, 1], 4]], 'hecke_orbit_code': 31525541022534848, 'p': 7}
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id: 3090929
{'charpoly_factorization': [[[64, 0, 17, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 11}
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id: 3090930
{'charpoly_factorization': [[[576, 0, 51, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 13}
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id: 3090931
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 31525541022534848, 'p': 17}
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id: 3090932
{'charpoly_factorization': [[[16, 0, 41, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 19}
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id: 3090933
{'charpoly_factorization': [[[576, 0, -51, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 23}
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id: 3090934
{'charpoly_factorization': [[[64, 0, 28, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 29}
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id: 3090935
{'charpoly_factorization': [[[-44, 0, 1], 4]], 'hecke_orbit_code': 31525541022534848, 'p': 31}
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id: 3090936
{'charpoly_factorization': [[[1024, 0, 112, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 37}
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id: 3090937
{'charpoly_factorization': [[[-74, -1, 1], 4]], 'hecke_orbit_code': 31525541022534848, 'p': 41}
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id: 3090938
{'charpoly_factorization': [[[4624, 0, 161, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 43}
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id: 3090939
{'charpoly_factorization': [[[-48, 0, 1], 4]], 'hecke_orbit_code': 31525541022534848, 'p': 47}
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id: 3090940
{'charpoly_factorization': [[[256, 0, 76, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 53}
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id: 3090941
{'charpoly_factorization': [[[576, 0, 84, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 59}
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id: 3090942
{'charpoly_factorization': [[[4096, 0, 172, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 61}
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id: 3090943
{'charpoly_factorization': [[[16, 0, 1], 4]], 'hecke_orbit_code': 31525541022534848, 'p': 67}
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id: 3090944
{'charpoly_factorization': [[[256, 0, -76, 0, 1], 2]], 'hecke_orbit_code': 31525541022534848, 'p': 71}
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id: 3090945
{'charpoly_factorization': [[[88, -22, 1], 4]], 'hecke_orbit_code': 31525541022534848, 'p': 73}
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id: 3090946
{'charpoly_factorization': [[[-12, 0, 1], 4]], 'hecke_orbit_code': 31525541022534848, 'p': 79}
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id: 3090947
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31525541022534848, 'p': 83}
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id: 3090948
{'charpoly_factorization': [[[-116, 8, 1], 4]], 'hecke_orbit_code': 31525541022534848, 'p': 89}
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id: 3090949
{'charpoly_factorization': [[[-14, 1], 8]], 'hecke_orbit_code': 31525541022534848, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 8, 'label': '3264.2.f.h', 'level': 3264, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 49964515
{'hecke_orbit_code': 31525541022534848, 'n': 1, 'trace_an': 8}
-
id: 49964516
{'hecke_orbit_code': 31525541022534848, 'n': 2, 'trace_an': 0}
-
id: 49964517
{'hecke_orbit_code': 31525541022534848, 'n': 3, 'trace_an': 0}
-
id: 49964518
{'hecke_orbit_code': 31525541022534848, 'n': 4, 'trace_an': 0}
-
id: 49964519
{'hecke_orbit_code': 31525541022534848, 'n': 5, 'trace_an': 0}
-
id: 49964520
{'hecke_orbit_code': 31525541022534848, 'n': 6, 'trace_an': 0}
-
id: 49964521
{'hecke_orbit_code': 31525541022534848, 'n': 7, 'trace_an': 0}
-
id: 49964522
{'hecke_orbit_code': 31525541022534848, 'n': 8, 'trace_an': 0}
-
id: 49964523
{'hecke_orbit_code': 31525541022534848, 'n': 9, 'trace_an': -8}
-
id: 49964524
{'hecke_orbit_code': 31525541022534848, 'n': 10, 'trace_an': 0}
-
id: 49964525
{'hecke_orbit_code': 31525541022534848, 'n': 11, 'trace_an': 0}
-
id: 49964526
{'hecke_orbit_code': 31525541022534848, 'n': 12, 'trace_an': 0}
-
id: 49964527
{'hecke_orbit_code': 31525541022534848, 'n': 13, 'trace_an': 0}
-
id: 49964528
{'hecke_orbit_code': 31525541022534848, 'n': 14, 'trace_an': 0}
-
id: 49964529
{'hecke_orbit_code': 31525541022534848, 'n': 15, 'trace_an': 0}
-
id: 49964530
{'hecke_orbit_code': 31525541022534848, 'n': 16, 'trace_an': 0}
-
id: 49964531
{'hecke_orbit_code': 31525541022534848, 'n': 17, 'trace_an': -8}
-
id: 49964532
{'hecke_orbit_code': 31525541022534848, 'n': 18, 'trace_an': 0}
-
id: 49964533
{'hecke_orbit_code': 31525541022534848, 'n': 19, 'trace_an': 0}
-
id: 49964534
{'hecke_orbit_code': 31525541022534848, 'n': 20, 'trace_an': 0}
-
id: 49964535
{'hecke_orbit_code': 31525541022534848, 'n': 21, 'trace_an': 0}
-
id: 49964536
{'hecke_orbit_code': 31525541022534848, 'n': 22, 'trace_an': 0}
-
id: 49964537
{'hecke_orbit_code': 31525541022534848, 'n': 23, 'trace_an': 0}
-
id: 49964538
{'hecke_orbit_code': 31525541022534848, 'n': 24, 'trace_an': 0}
-
id: 49964539
{'hecke_orbit_code': 31525541022534848, 'n': 25, 'trace_an': 12}
-
id: 49964540
{'hecke_orbit_code': 31525541022534848, 'n': 26, 'trace_an': 0}
-
id: 49964541
{'hecke_orbit_code': 31525541022534848, 'n': 27, 'trace_an': 0}
-
id: 49964542
{'hecke_orbit_code': 31525541022534848, 'n': 28, 'trace_an': 0}
-
id: 49964543
{'hecke_orbit_code': 31525541022534848, 'n': 29, 'trace_an': 0}
-
id: 49964544
{'hecke_orbit_code': 31525541022534848, 'n': 30, 'trace_an': 0}
-
id: 49964545
{'hecke_orbit_code': 31525541022534848, 'n': 31, 'trace_an': 0}
-
id: 49964546
{'hecke_orbit_code': 31525541022534848, 'n': 32, 'trace_an': 0}
-
id: 49964547
{'hecke_orbit_code': 31525541022534848, 'n': 33, 'trace_an': -4}
-
id: 49964548
{'hecke_orbit_code': 31525541022534848, 'n': 34, 'trace_an': 0}
-
id: 49964549
{'hecke_orbit_code': 31525541022534848, 'n': 35, 'trace_an': 0}
-
id: 49964550
{'hecke_orbit_code': 31525541022534848, 'n': 36, 'trace_an': 0}
-
id: 49964551
{'hecke_orbit_code': 31525541022534848, 'n': 37, 'trace_an': 0}
-
id: 49964552
{'hecke_orbit_code': 31525541022534848, 'n': 38, 'trace_an': 0}
-
id: 49964553
{'hecke_orbit_code': 31525541022534848, 'n': 39, 'trace_an': 0}
-
id: 49964554
{'hecke_orbit_code': 31525541022534848, 'n': 40, 'trace_an': 0}
-
id: 49964555
{'hecke_orbit_code': 31525541022534848, 'n': 41, 'trace_an': 4}
-
id: 49964556
{'hecke_orbit_code': 31525541022534848, 'n': 42, 'trace_an': 0}
-
id: 49964557
{'hecke_orbit_code': 31525541022534848, 'n': 43, 'trace_an': 0}
-
id: 49964558
{'hecke_orbit_code': 31525541022534848, 'n': 44, 'trace_an': 0}
-
id: 49964559
{'hecke_orbit_code': 31525541022534848, 'n': 45, 'trace_an': 0}
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