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mf_newforms • Show schema
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{'Nk2': 1932, 'analytic_conductor': 3.8567744176278427, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 161, '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': [483, 2, [323, 346, 442], [2, 1, 1]], 'cm_discs': [], 'conrey_index': 160, 'conrey_indexes': [160], 'dim': 12, 'field_disc': 8831163797929984, 'field_disc_factorization': [[2, 16], [7, 2], [229, 4]], 'field_poly': [1, 0, 39, 0, 129, 0, 141, 0, 67, 0, 14, 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': [[2, [1, -4, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504080697262563, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1932, 'analytic_conductor': 3.8567744176278427, 'char_conductor': 161, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [483, 2, [323, 346, 442], [2, 1, 1]], 'conrey_index': 160, 'cusp_dim': 60, 'dim': 32, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 481069892067, 'hecke_orbit_dims': [8, 12, 12], 'label': '483.2.h', 'level': 483, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 23], 'level_radical': 483, 'mf_dim': 68, 'mf_new_dim': 32, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 128, 'trace_bound': 2, 'trace_display': [-4, 0, 0, 0], 'traces': [32, -4, 0, 36, 0, 0, 0, -12, -32, 0, 0, 0, 0, 0, 0, 44, 0, 4, 0, 0, 0, 0, -8, 0, 24, 0, 0, 0, 0, 0, 0, -68, 0, 0, 16, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 16, 12, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 16, 40, 12, 0, 0, 0, 0, -72, 8, 0, 0, 32, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 16, -24, 0, -16, 0, 0, -28, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -16, 0, 116, 0, -36, 0, 0, 0, 12, -84, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, -80, -68, -104, 0, -44, 0, 0, -24, 0, 0, 0, 76, 0, 0, 24, 0, -80, 0, 0, 0, 0, 100, -4, 52, 0, 48, 0, 0, 0, -8, 272, 0, 0, 0, 0, 0, 0, 36, 0, -112, 0, 0, 0, 0, -16, 0, 8, 0, 0, 0, -192, 0, 0, 108, 0, 0, -36, 208, 0, 0, -92, 0, 0, 0, 0, 0, 0, 8, 0, 0, 112, 4, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -12, -136, -120, 0, 0, 0, 0, 0, -64, 0, 0, 108, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 108, -232, 0, -84, 0, 0, -8, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, -88, 0, 208, 0, 336, 0, 0, 0, 68, -32, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, -32, 336, -76, 0, 40, 0, 0, -160, 0, 0, 0, 136, 0, 0, -16, 0, -104, 0, 0, 0, 0, -36, 16, 36, 0, -32, 0, 0, 0, 32, 68, 0, 0, 0, 0, 0, 0, 460, 0, -280, 0, 0, 0, 0, -40, 0, -144, 0, 0, 0, 0, 0, 0, 64, 0, 0, 96, -112, 0, 0, 76, 0, 0, 0, 0, 0, 0, -152, 0, 0, 72, 72, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 428, -84, -304, 0, 0, 0, 0, -24, -276, 0, 0, -104, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 40, -136, 0, 40, 0, 0, -88, 0, -200, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, -16, 0, 80, 0, 32, 0, 0, 0, 0, -12, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, -24, 124, 256, 0, -72, 0, 0, -72, 0, 0, 0, -176, 0, 0, -248, 0, -224, 0, 0, 0, 0, -44, 188, 184, 0, 240, 0, 0, 0, -144, -16, 0, 0, 0, 0, 0, 0, 296, 0, -36, 0, 0, 0, 0, -192, 0, 408, 0, 0, 0, -172, 0, 0, -56, 0, 0, -128, -136, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, -240, 0, 0, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, -152, 128, -120, 0, 0, 0, 0, -48, 48, 0, 0, -344, 0, 0, 0, -440, 0, 0, 0, 0, 0, 0, -120, -84, 0, -340, 0, 0, -120, 0, 140, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 8, 0, 616, 0, -208, 0, 0, 0, 472, -216, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, -24, -168, -16, 0, -204, 0, 0, -16, 0, 0, 0, -8, 0, 0, -224, 0, -40, 0, 0, 0, 0, 396, 256, 360, 0, -12, 0, 0, 0, -240, 416, 0, 0, 0, 0, 0, 0, -72, 0, 400, 0, 0, 0, 0, -152, 0, 168, 0, 0, 0, -140, 0, 0, 44, 0, 0, 168, 552, 0, 0, -184, 0, 0, 0, 0, 0, 0, -56, 0, 0, 72, 280, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -248, -432, -328, 0, 0, 0, 0, -108, -332, 0, 0, 424, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 384, 144, 0, 176, 0, 0, -352, 0, 192, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, -8, 0, 136, 0, 280, 0, 0, 0, 76, -48, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, -316, 184, -120, 0, 856, 0, 0, -208, 0, 0, 0, 80, 0, 0, -40, 0, -700, 0, 0, 0, 0, 16, -296, 16, 0, -192, 0, 0, 0, 120, 312, 0, 0, 0, 0, 0, 0, 392, 0, -244, 0, 0, 0, 0, -16, 0, -304, 0, 0, 0, 16, 0, 0, 24, 0, 0, 208, -48, 0, 0, 448, 0, 0, 0, 0, 0, 0, -64, 0, 0, -16, 16, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 568, 0, 0, 0, 0, 0, 344, -312, -180, 0, 0, 0, 0, 28, 120, 0, 0, -256, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 128, -424, 0, -60, 0, 0, -56, 0, 8, 0, 0, 0, 0, 464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -200, 0, -264, 0, -496, 0, 0, 0, 96, 68, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 280, 168, 0, -184, 0, 0, -176, 0, 0, 0, -200, 0, 0, -104, 0, -384, 0, 0, 0, 0, -104, 592, 172, 0, 64, 0, 0, 0, -504, -120, 0, 0, 0, 0, 0, 0, 344, 0, -128, 0, 0, 0, 0, -264, 0, 84, 0, 0, 0, -640, 0, 0, -32, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35600392
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 160, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4504080697262563, 'source_is_minimal': True, 'source_label': '483.2.h.b.160.8', 'source_level': 483, 'target_conrey_index': 160, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504080697262563, 'target_is_minimal': True, 'target_label': '483.2.h.b.160.8', 'target_level': 483, 'twist_class_label': '483.2.h.b.160.5', 'twist_class_level': 483, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35600393
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 160, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4504080697262563, 'source_is_minimal': True, 'source_label': '483.2.h.b.160.8', 'source_level': 483, 'target_conrey_index': 1126, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 31525678461486505, 'target_is_minimal': False, 'target_label': '1449.2.h.h.1126.6', 'target_level': 1449, 'twist_class_label': '483.2.h.b.160.5', 'twist_class_level': 483, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35600394
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 160, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4504080697262563, 'source_is_minimal': True, 'source_label': '483.2.h.b.160.8', 'source_level': 483, 'target_conrey_index': 160, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504080697262563, 'target_is_minimal': True, 'target_label': '483.2.h.b.160.5', 'target_level': 483, 'twist_class_label': '483.2.h.b.160.5', 'twist_class_level': 483, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 35600395
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 160, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4504080697262563, 'source_is_minimal': True, 'source_label': '483.2.h.b.160.8', 'source_level': 483, 'target_conrey_index': 1126, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 31525678461486505, 'target_is_minimal': False, 'target_label': '1449.2.h.h.1126.8', 'target_level': 1449, 'twist_class_label': '483.2.h.b.160.5', 'twist_class_level': 483, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35600396
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 160, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4504080697262563, 'source_is_minimal': True, 'source_label': '483.2.h.b.160.8', 'source_level': 483, 'target_conrey_index': 160, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504080697262563, 'target_is_minimal': True, 'target_label': '483.2.h.b.160.7', 'target_level': 483, 'twist_class_label': '483.2.h.b.160.5', 'twist_class_level': 483, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35600397
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 160, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4504080697262563, 'source_is_minimal': True, 'source_label': '483.2.h.b.160.8', 'source_level': 483, 'target_conrey_index': 1126, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 31525678461486505, 'target_is_minimal': False, 'target_label': '1449.2.h.h.1126.7', 'target_level': 1449, 'twist_class_label': '483.2.h.b.160.5', 'twist_class_level': 483, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 35600398
{'conductor': 161, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 160, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4504080697262563, 'source_is_minimal': True, 'source_label': '483.2.h.b.160.8', 'source_level': 483, 'target_conrey_index': 160, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504080697262563, 'target_is_minimal': True, 'target_label': '483.2.h.b.160.6', 'target_level': 483, 'twist_class_label': '483.2.h.b.160.5', 'twist_class_level': 483, 'twisting_char_label': '161.160', 'twisting_conrey_index': 160, 'weight': 2}
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id: 35600399
{'conductor': 483, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 160, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4504080697262563, 'source_is_minimal': True, 'source_label': '483.2.h.b.160.8', 'source_level': 483, 'target_conrey_index': 1126, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 31525678461486505, 'target_is_minimal': False, 'target_label': '1449.2.h.h.1126.5', 'target_level': 1449, 'twist_class_label': '483.2.h.b.160.5', 'twist_class_level': 483, 'twisting_char_label': '483.482', 'twisting_conrey_index': 482, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 950300
{'charpoly_factorization': [[[1, -4, 0, 1], 4]], 'hecke_orbit_code': 4504080697262563, 'p': 2}
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id: 950301
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 4504080697262563, 'p': 3}
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id: 950302
{'charpoly_factorization': [[[-14, 0, 71, 0, -21, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 5}
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id: 950303
{'charpoly_factorization': [[[117649, 0, 19208, 0, -1617, 0, -784, 0, -33, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 4504080697262563, 'p': 7}
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id: 950304
{'charpoly_factorization': [[[56, 0, 53, 0, 14, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 11}
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id: 950305
{'charpoly_factorization': [[[2116, 0, 645, 0, 47, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 13}
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id: 950306
{'charpoly_factorization': [[[-14, 0, 81, 0, -52, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 17}
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id: 950307
{'charpoly_factorization': [[[-19166, 0, 2241, 0, -84, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 19}
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id: 950308
{'charpoly_factorization': [[[12167, 4232, -437, -344, -19, 8, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 23}
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id: 950309
{'charpoly_factorization': [[[26, -7, -4, 1], 4]], 'hecke_orbit_code': 4504080697262563, 'p': 29}
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id: 950310
{'charpoly_factorization': [[[65536, 0, 5889, 0, 146, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 31}
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id: 950311
{'charpoly_factorization': [[[157304, 0, 8941, 0, 166, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 37}
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id: 950312
{'charpoly_factorization': [[[51076, 0, 5601, 0, 158, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 41}
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id: 950313
{'charpoly_factorization': [[[240254, 0, 14431, 0, 241, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 43}
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id: 950314
{'charpoly_factorization': [[[153664, 0, 9408, 0, 176, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 47}
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id: 950315
{'charpoly_factorization': [[[270494, 0, 14151, 0, 217, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 53}
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id: 950316
{'charpoly_factorization': [[[33124, 0, 4005, 0, 119, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 59}
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id: 950317
{'charpoly_factorization': [[[-2744, 0, 1493, 0, -119, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 61}
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id: 950318
{'charpoly_factorization': [[[39326, 0, 4799, 0, 141, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 67}
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id: 950319
{'charpoly_factorization': [[[-134, 105, -19, 1], 4]], 'hecke_orbit_code': 4504080697262563, 'p': 71}
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id: 950320
{'charpoly_factorization': [[[2704, 0, 3249, 0, 114, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 73}
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id: 950321
{'charpoly_factorization': [[[734174, 0, 28625, 0, 324, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 79}
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id: 950322
{'charpoly_factorization': [[[-3584, 0, 869, 0, -54, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 83}
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id: 950323
{'charpoly_factorization': [[[-14, 0, 5359, 0, -277, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 89}
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id: 950324
{'charpoly_factorization': [[[-251384, 0, 22205, 0, -374, 0, 1], 2]], 'hecke_orbit_code': 4504080697262563, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 2, 'label': '483.2.h.b', 'level': 483, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 89241000
{'hecke_orbit_code': 4504080697262563, 'n': 1, 'trace_an': 12}
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id: 89241001
{'hecke_orbit_code': 4504080697262563, 'n': 2, 'trace_an': 0}
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id: 89241002
{'hecke_orbit_code': 4504080697262563, 'n': 3, 'trace_an': 0}
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id: 89241003
{'hecke_orbit_code': 4504080697262563, 'n': 4, 'trace_an': 8}
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id: 89241004
{'hecke_orbit_code': 4504080697262563, 'n': 5, 'trace_an': 0}
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id: 89241005
{'hecke_orbit_code': 4504080697262563, 'n': 6, 'trace_an': 0}
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id: 89241006
{'hecke_orbit_code': 4504080697262563, 'n': 7, 'trace_an': 0}
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id: 89241007
{'hecke_orbit_code': 4504080697262563, 'n': 8, 'trace_an': -12}
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id: 89241008
{'hecke_orbit_code': 4504080697262563, 'n': 9, 'trace_an': -12}
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id: 89241009
{'hecke_orbit_code': 4504080697262563, 'n': 10, 'trace_an': 0}
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id: 89241010
{'hecke_orbit_code': 4504080697262563, 'n': 11, 'trace_an': 0}
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id: 89241011
{'hecke_orbit_code': 4504080697262563, 'n': 12, 'trace_an': 0}
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id: 89241012
{'hecke_orbit_code': 4504080697262563, 'n': 13, 'trace_an': 0}
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id: 89241013
{'hecke_orbit_code': 4504080697262563, 'n': 14, 'trace_an': 0}
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id: 89241014
{'hecke_orbit_code': 4504080697262563, 'n': 15, 'trace_an': 0}
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id: 89241015
{'hecke_orbit_code': 4504080697262563, 'n': 16, 'trace_an': -16}
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id: 89241016
{'hecke_orbit_code': 4504080697262563, 'n': 17, 'trace_an': 0}
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id: 89241017
{'hecke_orbit_code': 4504080697262563, 'n': 18, 'trace_an': 0}
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id: 89241018
{'hecke_orbit_code': 4504080697262563, 'n': 19, 'trace_an': 0}
-
id: 89241019
{'hecke_orbit_code': 4504080697262563, 'n': 20, 'trace_an': 0}
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id: 89241020
{'hecke_orbit_code': 4504080697262563, 'n': 21, 'trace_an': 0}
-
id: 89241021
{'hecke_orbit_code': 4504080697262563, 'n': 22, 'trace_an': 0}
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id: 89241022
{'hecke_orbit_code': 4504080697262563, 'n': 23, 'trace_an': -16}
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id: 89241023
{'hecke_orbit_code': 4504080697262563, 'n': 24, 'trace_an': 0}
-
id: 89241024
{'hecke_orbit_code': 4504080697262563, 'n': 25, 'trace_an': 24}
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id: 89241025
{'hecke_orbit_code': 4504080697262563, 'n': 26, 'trace_an': 0}
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id: 89241026
{'hecke_orbit_code': 4504080697262563, 'n': 27, 'trace_an': 0}
-
id: 89241027
{'hecke_orbit_code': 4504080697262563, 'n': 28, 'trace_an': 0}
-
id: 89241028
{'hecke_orbit_code': 4504080697262563, 'n': 29, 'trace_an': 16}
-
id: 89241029
{'hecke_orbit_code': 4504080697262563, 'n': 30, 'trace_an': 0}
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id: 89241030
{'hecke_orbit_code': 4504080697262563, 'n': 31, 'trace_an': 0}
-
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