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mf_newforms • Show schema
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{'Nk2': 5760, 'analytic_conductor': 11.498457891064374, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1440, 3, [991, 901, 641, 577], [3, 3, 1, 3]], 'cm_discs': [], 'conrey_index': 481, 'dim': 8, 'field_disc': 3317760000, 'field_disc_factorization': [[2, 16], [3, 4], [5, 4]], 'field_poly': [81, 0, 36, 0, 7, 0, 4, 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': [[7, [1, 0, 8, 0, 63, 0, 8, 0, 1]], [11, [36, 0, 6, 0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40533496191518112, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5760, 'analytic_conductor': 11.498457891064374, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1440, 3, [991, 901, 641, 577], [3, 3, 1, 3]], 'conrey_index': 481, 'cusp_dim': 544, 'dim': 96, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1099545183648, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8, 8, 10, 10, 12], 'label': '1440.2.q', 'level': 1440, '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, 5], 'level_radical': 30, 'mf_dim': 608, 'mf_new_dim': 96, 'num_forms': 17, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 576, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, -48, 0, 0, 0, 8, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -32, 0, 0, 0, 24, 0, 0, 0, -16, 0, 0, 0, 24, 0, 0, 0, -96, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 48, 0, 0, 0, -24, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -72, 0, 0, 0, 48, 0, 0, 0, -192, 0, 0, 0, 48, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 24, 0, 0, 0, 56, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 16, 0, 0, 0, 72, 0, 0, 0, 176, 0, 0, 0, -80, 0, 0, 0, 24, 0, 0, 0, 8, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 128, 0, 0, 0, 48, 0, 0, 0, -112, 0, 0, 0, -32, 0, 0, 0, 240, 0, 0, 0, -64, 0, 0, 0, -312, 0, 0, 0, 24, 0, 0, 0, 48, 0, 0, 0, 40, 0, 0, 0, -72, 0, 0, 0, 64, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 224, 0, 0, 0, -72, 0, 0, 0, 416, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 168, 0, 0, 0, 144, 0, 0, 0, 48, 0, 0, 0, -48, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -280, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 192, 0, 0, 0, -96, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -576, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -416, 0, 0, 0, -144, 0, 0, 0, -96, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -208, 0, 0, 0, -24, 0, 0, 0, 72, 0, 0, 0, -48, 0, 0, 0, -144, 0, 0, 0, -104, 0, 0, 0, 400, 0, 0, 0, 48, 0, 0, 0, -64, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 328, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, -8, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, -48, 0, 0, 0, -24, 0, 0, 0, 56, 0, 0, 0, 48, 0, 0, 0, 160, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, -32, 0, 0, 0, 144, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 176, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, -192, 0, 0, 0, -72, 0, 0, 0, 328, 0, 0, 0, -48, 0, 0, 0, 448, 0, 0, 0, 144, 0, 0, 0, 144, 0, 0, 0, 168, 0, 0, 0, 88, 0, 0, 0, 432, 0, 0, 0, -96, 0, 0, 0, 408, 0, 0, 0, 96, 0, 0, 0, -96, 0, 0, 0, -88, 0, 0, 0, -144, 0, 0, 0, 64, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -672, 0, 0, 0, -96, 0, 0, 0, 24, 0, 0, 0, -144, 0, 0, 0, -464, 0, 0, 0, 48, 0, 0, 0, 8, 0, 0, 0, -128, 0, 0, 0, 144, 0, 0, 0, -112, 0, 0, 0, -144, 0, 0, 0, -72, 0, 0, 0, 112, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 176, 0, 0, 0, -216, 0, 0, 0, 608, 0, 0, 0, 288, 0, 0, 0, 96, 0, 0, 0, -48, 0, 0, 0, -112, 0, 0, 0, -96, 0, 0, 0, 16, 0, 0, 0, -112, 0, 0, 0, 24, 0, 0, 0, 336, 0, 0, 0, 272, 0, 0, 0, -216, 0, 0, 0, -320, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -448, 0, 0, 0, -120, 0, 0, 0, 192, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, -72, 0, 0, 0, 448, 0, 0, 0, -224, 0, 0, 0, -192, 0, 0, 0, 48, 0, 0, 0, 288, 0, 0, 0, -48, 0, 0, 0, 256, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 560, 0, 0, 0, 288, 0, 0, 0, 8, 0, 0, 0, 184, 0, 0, 0, 48, 0, 0, 0, 176, 0, 0, 0, -800, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 40, 0, 0, 0, -864, 0, 0, 0, -40, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, -1072, 0, 0, 0, 320, 0, 0, 0, 336, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47012384
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533496191518112, 'source_is_minimal': True, 'source_label': '1440.2.q.j.961.3', 'source_level': 1440, 'target_conrey_index': 961, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533496191518112, 'target_is_minimal': True, 'target_label': '1440.2.q.j.961.3', 'target_level': 1440, 'twist_class_label': '1440.2.q.j.481.2', 'twist_class_level': 1440, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47012385
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533496191518112, 'source_is_minimal': True, 'source_label': '1440.2.q.j.961.3', 'source_level': 1440, 'target_conrey_index': 2881, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54044295073632480, 'target_is_minimal': False, 'target_label': '4320.2.q.m.2881.2', 'target_level': 4320, 'twist_class_label': '1440.2.q.j.481.2', 'twist_class_level': 1440, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47012386
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533496191518112, 'source_is_minimal': True, 'source_label': '1440.2.q.j.961.3', 'source_level': 1440, 'target_conrey_index': 961, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533496191518112, 'target_is_minimal': True, 'target_label': '1440.2.q.j.961.2', 'target_level': 1440, 'twist_class_label': '1440.2.q.j.481.2', 'twist_class_level': 1440, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47012387
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533496191518112, 'source_is_minimal': True, 'source_label': '1440.2.q.j.961.3', 'source_level': 1440, 'target_conrey_index': 481, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40533496191518112, 'target_is_minimal': True, 'target_label': '1440.2.q.j.481.3', 'target_level': 1440, 'twist_class_label': '1440.2.q.j.481.2', 'twist_class_level': 1440, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47012388
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533496191518112, 'source_is_minimal': True, 'source_label': '1440.2.q.j.961.3', 'source_level': 1440, 'target_conrey_index': 1441, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54044295073632480, 'target_is_minimal': False, 'target_label': '4320.2.q.m.1441.2', 'target_level': 4320, 'twist_class_label': '1440.2.q.j.481.2', 'twist_class_level': 1440, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47012389
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533496191518112, 'source_is_minimal': True, 'source_label': '1440.2.q.j.961.3', 'source_level': 1440, 'target_conrey_index': 2881, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54044295073632480, 'target_is_minimal': False, 'target_label': '4320.2.q.m.2881.3', 'target_level': 4320, 'twist_class_label': '1440.2.q.j.481.2', 'twist_class_level': 1440, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47012390
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533496191518112, 'source_is_minimal': True, 'source_label': '1440.2.q.j.961.3', 'source_level': 1440, 'target_conrey_index': 1441, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54044295073632480, 'target_is_minimal': False, 'target_label': '4320.2.q.m.1441.3', 'target_level': 4320, 'twist_class_label': '1440.2.q.j.481.2', 'twist_class_level': 1440, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47012391
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 961, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40533496191518112, 'source_is_minimal': True, 'source_label': '1440.2.q.j.961.3', 'source_level': 1440, 'target_conrey_index': 481, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533496191518112, 'target_is_minimal': True, 'target_label': '1440.2.q.j.481.2', 'target_level': 1440, 'twist_class_label': '1440.2.q.j.481.2', 'twist_class_level': 1440, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1947650
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 40533496191518112, 'p': 2}
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id: 1947651
{'charpoly_factorization': [[[81, 0, 36, 0, 7, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 40533496191518112, 'p': 3}
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id: 1947652
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 40533496191518112, 'p': 5}
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id: 1947653
{'charpoly_factorization': [[[1, 0, 8, 0, 63, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 40533496191518112, 'p': 7}
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id: 1947654
{'charpoly_factorization': [[[36, 0, 6, 0, 1], 2]], 'hecke_orbit_code': 40533496191518112, 'p': 11}
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id: 1947655
{'charpoly_factorization': [[[196, -28, 18, 2, 1], 2]], 'hecke_orbit_code': 40533496191518112, 'p': 13}
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id: 1947656
{'charpoly_factorization': [[[-6, 6, 1], 4]], 'hecke_orbit_code': 40533496191518112, 'p': 17}
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id: 1947657
{'charpoly_factorization': [[[-54, 0, 1], 4]], 'hecke_orbit_code': 40533496191518112, 'p': 19}
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id: 1947658
{'charpoly_factorization': [[[1, 0, 8, 0, 63, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 40533496191518112, 'p': 23}
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id: 1947659
{'charpoly_factorization': [[[3481, -118, 63, 2, 1], 2]], 'hecke_orbit_code': 40533496191518112, 'p': 29}
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id: 1947660
{'charpoly_factorization': [[[1336336, 0, 106352, 0, 7308, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 40533496191518112, 'p': 31}
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id: 1947661
{'charpoly_factorization': [[[-6, 6, 1], 4]], 'hecke_orbit_code': 40533496191518112, 'p': 37}
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id: 1947662
{'charpoly_factorization': [[[441, -252, 123, -12, 1], 2]], 'hecke_orbit_code': 40533496191518112, 'p': 41}
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id: 1947663
{'charpoly_factorization': [[[36, 0, 6, 0, 1], 2]], 'hecke_orbit_code': 40533496191518112, 'p': 43}
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id: 1947664
{'charpoly_factorization': [[[194481, 0, 21168, 0, 1863, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 40533496191518112, 'p': 47}
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id: 1947665
{'charpoly_factorization': [[[4, 1], 8]], 'hecke_orbit_code': 40533496191518112, 'p': 53}
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id: 1947666
{'charpoly_factorization': [[[256, 0, 512, 0, 1008, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 40533496191518112, 'p': 59}
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id: 1947667
{'charpoly_factorization': [[[121, -44, 27, 4, 1], 2]], 'hecke_orbit_code': 40533496191518112, 'p': 61}
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id: 1947668
{'charpoly_factorization': [[[96059601, 0, 2822688, 0, 73143, 0, 288, 0, 1], 1]], 'hecke_orbit_code': 40533496191518112, 'p': 67}
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id: 1947669
{'charpoly_factorization': [[[-10, 0, 1], 4]], 'hecke_orbit_code': 40533496191518112, 'p': 71}
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id: 1947670
{'charpoly_factorization': [[[-56, 4, 1], 4]], 'hecke_orbit_code': 40533496191518112, 'p': 73}
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id: 1947671
{'charpoly_factorization': [[[25600, 0, 160, 0, 1], 2]], 'hecke_orbit_code': 40533496191518112, 'p': 79}
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id: 1947672
{'charpoly_factorization': [[[1632240801, 0, 16483608, 0, 126063, 0, 408, 0, 1], 1]], 'hecke_orbit_code': 40533496191518112, 'p': 83}
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id: 1947673
{'charpoly_factorization': [[[21, 18, 1], 4]], 'hecke_orbit_code': 40533496191518112, 'p': 89}
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id: 1947674
{'charpoly_factorization': [[[576, -288, 168, 12, 1], 2]], 'hecke_orbit_code': 40533496191518112, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 10, 'label': '1440.2.q.j', 'level': 1440, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 209443000
{'hecke_orbit_code': 40533496191518112, 'n': 1, 'trace_an': 8}
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id: 209443001
{'hecke_orbit_code': 40533496191518112, 'n': 2, 'trace_an': 0}
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id: 209443002
{'hecke_orbit_code': 40533496191518112, 'n': 3, 'trace_an': 0}
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id: 209443003
{'hecke_orbit_code': 40533496191518112, 'n': 4, 'trace_an': 0}
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id: 209443004
{'hecke_orbit_code': 40533496191518112, 'n': 5, 'trace_an': -4}
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id: 209443005
{'hecke_orbit_code': 40533496191518112, 'n': 6, 'trace_an': 0}
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id: 209443006
{'hecke_orbit_code': 40533496191518112, 'n': 7, 'trace_an': 0}
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id: 209443007
{'hecke_orbit_code': 40533496191518112, 'n': 8, 'trace_an': 0}
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id: 209443008
{'hecke_orbit_code': 40533496191518112, 'n': 9, 'trace_an': -8}
-
id: 209443009
{'hecke_orbit_code': 40533496191518112, 'n': 10, 'trace_an': 0}
-
id: 209443010
{'hecke_orbit_code': 40533496191518112, 'n': 11, 'trace_an': 0}
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id: 209443011
{'hecke_orbit_code': 40533496191518112, 'n': 12, 'trace_an': 0}
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id: 209443012
{'hecke_orbit_code': 40533496191518112, 'n': 13, 'trace_an': -4}
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id: 209443013
{'hecke_orbit_code': 40533496191518112, 'n': 14, 'trace_an': 0}
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id: 209443014
{'hecke_orbit_code': 40533496191518112, 'n': 15, 'trace_an': 0}
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id: 209443015
{'hecke_orbit_code': 40533496191518112, 'n': 16, 'trace_an': 0}
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id: 209443016
{'hecke_orbit_code': 40533496191518112, 'n': 17, 'trace_an': -24}
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id: 209443017
{'hecke_orbit_code': 40533496191518112, 'n': 18, 'trace_an': 0}
-
id: 209443018
{'hecke_orbit_code': 40533496191518112, 'n': 19, 'trace_an': 0}
-
id: 209443019
{'hecke_orbit_code': 40533496191518112, 'n': 20, 'trace_an': 0}
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id: 209443020
{'hecke_orbit_code': 40533496191518112, 'n': 21, 'trace_an': -20}
-
id: 209443021
{'hecke_orbit_code': 40533496191518112, 'n': 22, 'trace_an': 0}
-
id: 209443022
{'hecke_orbit_code': 40533496191518112, 'n': 23, 'trace_an': 0}
-
id: 209443023
{'hecke_orbit_code': 40533496191518112, 'n': 24, 'trace_an': 0}
-
id: 209443024
{'hecke_orbit_code': 40533496191518112, 'n': 25, 'trace_an': -4}
-
id: 209443025
{'hecke_orbit_code': 40533496191518112, 'n': 26, 'trace_an': 0}
-
id: 209443026
{'hecke_orbit_code': 40533496191518112, 'n': 27, 'trace_an': 0}
-
id: 209443027
{'hecke_orbit_code': 40533496191518112, 'n': 28, 'trace_an': 0}
-
id: 209443028
{'hecke_orbit_code': 40533496191518112, 'n': 29, 'trace_an': -4}
-
id: 209443029
{'hecke_orbit_code': 40533496191518112, 'n': 30, 'trace_an': 0}
-
id: 209443030
{'hecke_orbit_code': 40533496191518112, 'n': 31, 'trace_an': 0}
-
id: 209443031
{'hecke_orbit_code': 40533496191518112, 'n': 32, 'trace_an': 0}
-
id: 209443032
{'hecke_orbit_code': 40533496191518112, 'n': 33, 'trace_an': 0}
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id: 209443033
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-
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