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mf_newforms • Show schema
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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 5888, 'analytic_conductor': 11.753979177532473, 'char_conductor': 184, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [1472, 2, [1151, 645, 833], [1, 1, 1]], 'conrey_index': 735, 'cusp_dim': 180, 'dim': 48, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 481069893056, 'hecke_orbit_dims': [8, 8, 32], 'label': '1472.2.h', 'level': 1472, '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, 23], 'level_radical': 46, 'mf_dim': 204, 'mf_new_dim': 48, 'num_forms': 3, 'prim_orbit_index': 8, 'relative_dim': 48, 'sturm_bound': 384, 'trace_bound': 9, '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, 144, 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, -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, 48, 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, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 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, 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, -48, 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, 0, 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, -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, -192, 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, -96, 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, -288, 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, -288, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 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, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 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, -192, 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, 480, 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, 480, 0, 0, 0, 0, 0, 0, 0, 288, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 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, -288, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 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, 96, 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: 5691343
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 735, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893056, 'source_is_minimal': True, 'source_label': '1472.2.h.a.735.2', 'source_level': 1472, 'target_conrey_index': 735, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069893056, 'target_is_minimal': True, 'target_label': '1472.2.h.a.735.2', 'target_level': 1472, 'twist_class_label': '1472.2.h.a.735.1', 'twist_class_level': 1472, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 5691344
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 735, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893056, 'source_is_minimal': True, 'source_label': '1472.2.h.a.735.2', 'source_level': 1472, 'target_conrey_index': 735, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069893056, 'target_is_minimal': True, 'target_label': '1472.2.h.a.735.1', 'target_level': 1472, 'twist_class_label': '1472.2.h.a.735.1', 'twist_class_level': 1472, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5691345
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 735, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893056, 'source_is_minimal': True, 'source_label': '1472.2.h.a.735.2', 'source_level': 1472, 'target_conrey_index': 735, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 481069893056, 'target_is_minimal': True, 'target_label': '1472.2.h.a.735.8', 'target_level': 1472, 'twist_class_label': '1472.2.h.a.735.1', 'twist_class_level': 1472, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5691346
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 735, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893056, 'source_is_minimal': True, 'source_label': '1472.2.h.a.735.2', 'source_level': 1472, 'target_conrey_index': 735, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 481069893056, 'target_is_minimal': True, 'target_label': '1472.2.h.a.735.7', 'target_level': 1472, 'twist_class_label': '1472.2.h.a.735.1', 'twist_class_level': 1472, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 5691347
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 735, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893056, 'source_is_minimal': True, 'source_label': '1472.2.h.a.735.2', 'source_level': 1472, 'target_conrey_index': 735, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 481069893056, 'target_is_minimal': True, 'target_label': '1472.2.h.a.735.7', 'target_level': 1472, 'twist_class_label': '1472.2.h.a.735.1', 'twist_class_level': 1472, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 5691348
{'conductor': 92, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 735, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893056, 'source_is_minimal': True, 'source_label': '1472.2.h.a.735.2', 'source_level': 1472, 'target_conrey_index': 735, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 481069893056, 'target_is_minimal': True, 'target_label': '1472.2.h.a.735.8', 'target_level': 1472, 'twist_class_label': '1472.2.h.a.735.1', 'twist_class_level': 1472, 'twisting_char_label': '92.91', 'twisting_conrey_index': 91, 'weight': 2}
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id: 5691349
{'conductor': 184, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 735, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893056, 'source_is_minimal': True, 'source_label': '1472.2.h.a.735.2', 'source_level': 1472, 'target_conrey_index': 735, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069893056, 'target_is_minimal': True, 'target_label': '1472.2.h.a.735.2', 'target_level': 1472, 'twist_class_label': '1472.2.h.a.735.1', 'twist_class_level': 1472, 'twisting_char_label': '184.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 5691350
{'conductor': 184, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 735, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 481069893056, 'source_is_minimal': True, 'source_label': '1472.2.h.a.735.2', 'source_level': 1472, 'target_conrey_index': 735, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069893056, 'target_is_minimal': True, 'target_label': '1472.2.h.a.735.1', 'target_level': 1472, 'twist_class_label': '1472.2.h.a.735.1', 'twist_class_level': 1472, 'twisting_char_label': '184.91', 'twisting_conrey_index': 91, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1975975
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 481069893056, 'p': 2}
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id: 1975976
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 481069893056, 'p': 3}
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id: 1975977
{'charpoly_factorization': [[[8, 0, -20, 0, 1], 2]], 'hecke_orbit_code': 481069893056, 'p': 5}
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id: 1975978
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 481069893056, 'p': 7}
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id: 1975979
{'charpoly_factorization': [[[392, 0, 44, 0, 1], 2]], 'hecke_orbit_code': 481069893056, 'p': 11}
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id: 1975980
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 481069893056, 'p': 13}
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id: 1975981
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 481069893056, 'p': 17}
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id: 1975982
{'charpoly_factorization': [[[1352, 0, 76, 0, 1], 2]], 'hecke_orbit_code': 481069893056, 'p': 19}
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id: 1975983
{'charpoly_factorization': [[[23, 0, 1], 4]], 'hecke_orbit_code': 481069893056, 'p': 23}
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id: 1975984
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 481069893056, 'p': 29}
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id: 1975985
{'charpoly_factorization': [[[92, 0, 1], 4]], 'hecke_orbit_code': 481069893056, 'p': 31}
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id: 1975986
{'charpoly_factorization': [[[968, 0, -148, 0, 1], 2]], 'hecke_orbit_code': 481069893056, 'p': 37}
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id: 1975987
{'charpoly_factorization': [[[-92, 0, 1], 4]], 'hecke_orbit_code': 481069893056, 'p': 41}
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id: 1975988
{'charpoly_factorization': [[[2888, 0, 172, 0, 1], 2]], 'hecke_orbit_code': 481069893056, 'p': 43}
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id: 1975989
{'charpoly_factorization': [[[4, 0, 1], 4]], 'hecke_orbit_code': 481069893056, 'p': 47}
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id: 1975990
{'charpoly_factorization': [[[6728, 0, -212, 0, 1], 2]], 'hecke_orbit_code': 481069893056, 'p': 53}
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id: 1975991
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 481069893056, 'p': 59}
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id: 1975992
{'charpoly_factorization': [[[14792, 0, -244, 0, 1], 2]], 'hecke_orbit_code': 481069893056, 'p': 61}
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id: 1975993
{'charpoly_factorization': [[[13448, 0, 268, 0, 1], 2]], 'hecke_orbit_code': 481069893056, 'p': 67}
-
id: 1975994
{'charpoly_factorization': [[[100, 0, 1], 4]], 'hecke_orbit_code': 481069893056, 'p': 71}
-
id: 1975995
{'charpoly_factorization': [[[-92, 0, 1], 4]], 'hecke_orbit_code': 481069893056, 'p': 73}
-
id: 1975996
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 481069893056, 'p': 79}
-
id: 1975997
{'charpoly_factorization': [[[968, 0, 332, 0, 1], 2]], 'hecke_orbit_code': 481069893056, 'p': 83}
-
id: 1975998
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 481069893056, 'p': 89}
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id: 1975999
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 481069893056, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '1472.2.h.a', 'level': 1472, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 9403908
{'hecke_orbit_code': 481069893056, 'n': 1, 'trace_an': 8}
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id: 9403909
{'hecke_orbit_code': 481069893056, 'n': 2, 'trace_an': 0}
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id: 9403910
{'hecke_orbit_code': 481069893056, 'n': 3, 'trace_an': 0}
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id: 9403911
{'hecke_orbit_code': 481069893056, 'n': 4, 'trace_an': 0}
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id: 9403912
{'hecke_orbit_code': 481069893056, 'n': 5, 'trace_an': 0}
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id: 9403913
{'hecke_orbit_code': 481069893056, 'n': 6, 'trace_an': 0}
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id: 9403914
{'hecke_orbit_code': 481069893056, 'n': 7, 'trace_an': 0}
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id: 9403915
{'hecke_orbit_code': 481069893056, 'n': 8, 'trace_an': 0}
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id: 9403916
{'hecke_orbit_code': 481069893056, 'n': 9, 'trace_an': -24}
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id: 9403917
{'hecke_orbit_code': 481069893056, 'n': 10, 'trace_an': 0}
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id: 9403918
{'hecke_orbit_code': 481069893056, 'n': 11, 'trace_an': 0}
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id: 9403919
{'hecke_orbit_code': 481069893056, 'n': 12, 'trace_an': 0}
-
id: 9403920
{'hecke_orbit_code': 481069893056, 'n': 13, 'trace_an': 0}
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id: 9403921
{'hecke_orbit_code': 481069893056, 'n': 14, 'trace_an': 0}
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id: 9403922
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