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mf_newforms • Show schema
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{'Nk2': 2976, 'analytic_conductor': 5.9408699103832605, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, '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': [744, 3, [559, 373, 497, 313], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 25, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 2, 1]], [7, [25, -5, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008298799923944, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 31, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2976, 'analytic_conductor': 5.9408699103832605, 'char_conductor': 31, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [744, 3, [559, 373, 497, 313], [3, 3, 3, 1]], 'conrey_index': 25, 'cusp_dim': 240, 'dim': 32, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 1099545182952, 'hecke_orbit_dims': [2, 2, 2, 4, 6, 6, 10], 'label': '744.2.q', 'level': 744, '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, 31], 'level_radical': 186, 'mf_dim': 272, 'mf_new_dim': 32, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 256, 'trace_bound': 5, 'trace_display': [0, 2, 0, 6], 'traces': [32, 0, 2, 0, 0, 0, 6, 0, -16, 0, 0, 0, -6, 0, 8, 0, -8, 0, -2, 0, 0, 0, 16, 0, 0, 0, -4, 0, -8, 0, -2, 0, 12, 0, -16, 0, -14, 0, 20, 0, -8, 0, 10, 0, 0, 0, 24, 0, -14, 0, 4, 0, -8, 0, 16, 0, -2, 0, 36, 0, 56, 0, -12, 0, 12, 0, 0, 0, 0, 0, 12, 0, 10, 0, 14, 0, 0, 0, 16, 0, -16, 0, 0, 0, -40, 0, 2, 0, 40, 0, -24, 0, 10, 0, 32, 0, 24, 0, 0, 0, 0, 0, -8, 0, -20, 0, -32, 0, -68, 0, -10, 0, -20, 0, 52, 0, -6, 0, -24, 0, -54, 0, -48, 0, -24, 0, -52, 0, -18, 0, -4, 0, -36, 0, -4, 0, -24, 0, -96, 0, 0, 0, -44, 0, 52, 0, -36, 0, 48, 0, 48, 0, 16, 0, -116, 0, 28, 0, 4, 0, -80, 0, 92, 0, 28, 0, -32, 0, -10, 0, 4, 0, 44, 0, 26, 0, -38, 0, 80, 0, -18, 0, 28, 0, 16, 0, 88, 0, 0, 0, -60, 0, 20, 0, -4, 0, 32, 0, 10, 0, 32, 0, -44, 0, -28, 0, -8, 0, -16, 0, -30, 0, 8, 0, -8, 0, 50, 0, 12, 0, 8, 0, 28, 0, 0, 0, 32, 0, 6, 0, 6, 0, -136, 0, -28, 0, 0, 0, 76, 0, -20, 0, 2, 0, -16, 0, -68, 0, -20, 0, 8, 0, -56, 0, -20, 0, -60, 0, -20, 0, 4, 0, 64, 0, -20, 0, 16, 0, 88, 0, -16, 0, -4, 0, -296, 0, 92, 0, -2, 0, 112, 0, -180, 0, -8, 0, 96, 0, -32, 0, 26, 0, 60, 0, 176, 0, -6, 0, 72, 0, -88, 0, 14, 0, 64, 0, 50, 0, 100, 0, 72, 0, 52, 0, 8, 0, -56, 0, -6, 0, -6, 0, -56, 0, 52, 0, -14, 0, 28, 0, 6, 0, 28, 0, -24, 0, 148, 0, -40, 0, 88, 0, -60, 0, 88, 0, 84, 0, -180, 0, -10, 0, 76, 0, -64, 0, -56, 0, -96, 0, 6, 0, 50, 0, 8, 0, -86, 0, -8, 0, 64, 0, -36, 0, -84, 0, 0, 0, -42, 0, -10, 0, -32, 0, 12, 0, -20, 0, 20, 0, -36, 0, -12, 0, 136, 0, 0, 0, 80, 0, 16, 0, -86, 0, 0, 0, -40, 0, -92, 0, 88, 0, -156, 0, 80, 0, -12, 0, 72, 0, 104, 0, -12, 0, -64, 0, 124, 0, -52, 0, -20, 0, 196, 0, 48, 0, 16, 0, -4, 0, -14, 0, 56, 0, 64, 0, 26, 0, 80, 0, 60, 0, -26, 0, -92, 0, -4, 0, 4, 0, 168, 0, 40, 0, -8, 0, 104, 0, 272, 0, -10, 0, 16, 0, -38, 0, -8, 0, -36, 0, -116, 0, -16, 0, -112, 0, 180, 0, -34, 0, -24, 0, -12, 0, -32, 0, -40, 0, -24, 0, -48, 0, 164, 0, -116, 0, -40, 0, 28, 0, 96, 0, -2, 0, 24, 0, -20, 0, -28, 0, 64, 0, -272, 0, 64, 0, -124, 0, 112, 0, -72, 0, -140, 0, 272, 0, 62, 0, -152, 0, -30, 0, 52, 0, 68, 0, 42, 0, -28, 0, -48, 0, -32, 0, 8, 0, 56, 0, -308, 0, 40, 0, 60, 0, 24, 0, 6, 0, 28, 0, 2, 0, -72, 0, 104, 0, -48, 0, 30, 0, -176, 0, -82, 0, -24, 0, 16, 0, 54, 0, 8, 0, -88, 0, 76, 0, -120, 0, 200, 0, -16, 0, 0, 0, -344, 0, -54, 0, 22, 0, -8, 0, -54, 0, -60, 0, -108, 0, -236, 0, 0, 0, -20, 0, -80, 0, -20, 0, -4, 0, -58, 0, -22, 0, -168, 0, -50, 0, 12, 0, 132, 0, -108, 0, -28, 0, -320, 0, 36, 0, 48, 0, 8, 0, -256, 0, 10, 0, -120, 0, 106, 0, 116, 0, 40, 0, 8, 0, 10, 0, 200, 0, -162, 0, 14, 0, 68, 0, 78, 0, 204, 0, 128, 0, 4, 0, 66, 0, -124, 0, 20, 0, 0, 0, 8, 0, 64, 0, 60, 0, 64, 0, -94, 0, 136, 0, -224, 0, -116, 0, -32, 0, 124, 0, 304, 0, 104, 0, 132, 0, -340, 0, -86, 0, 240, 0, -4, 0, 32, 0, 36, 0, -54, 0, 144, 0, -4, 0, 238, 0, -58, 0, -24, 0, -296, 0, 0, 0, 56, 0, 52, 0, 8, 0, -140, 0, -36, 0, 48, 0, -76, 0, 192, 0, 20, 0, 328, 0, 30, 0, -56, 0, 112, 0, 44, 0, -104, 0, 144, 0, -36, 0, -4, 0, -272, 0, 22, 0, 4, 0, 168, 0, 44, 0, 0, 0, 92, 0, -36, 0, -20, 0, 104, 0, 312, 0, -120, 0, -44, 0, 30, 0, 78, 0, -72, 0, -2, 0, 12, 0, -128, 0, -26, 0, -46, 0, -12, 0, 140, 0, 10, 0, 240, 0, -104, 0, 4, 0, -192, 0, 204, 0, -60, 0, -240, 0, 104, 0, -82, 0, -100, 0, -84, 0, -16, 0, -136, 0, 110, 0, -56, 0, -108, 0, -124, 0, -316, 0, -200, 0, -184, 0, -12, 0, 16, 0, 22, 0, -30, 0, 88, 0, 124, 0, -4, 0, -88, 0, -90, 0, 0, 0, 40, 0, 64, 0, 80, 0, -324, 0, -128, 0, -208, 0, -144, 0, -8, 0, 0, 0, -60, 0, -6, 0, -48, 0, 132, 0, 4, 0, -78, 0, 264, 0, -2, 0, -8, 0, -112, 0, 228, 0, 60, 0, -172, 0, -10, 0, -50, 0, -72, 0, 108, 0, 40, 0, -48, 0, -2, 0, -2, 0, -192, 0, 4, 0, -104, 0, 88, 0, 62, 0, 64, 0, 360, 0, -28, 0, -128, 0, 24, 0, -72, 0, 26, 0, 88, 0, 28, 0, 34, 0, -16, 0, -24, 0, 144, 0, 32, 0, -244, 0, 44, 0, 184, 0, -152, 0, -10, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41447123
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298799923944, 'source_is_minimal': True, 'source_label': '744.2.q.c.25.1', 'source_level': 744, 'target_conrey_index': 25, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799923944, 'target_is_minimal': True, 'target_label': '744.2.q.c.25.1', 'target_level': 744, 'twist_class_label': '744.2.q.c.25.1', 'twist_class_level': 744, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41447124
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298799923944, 'source_is_minimal': True, 'source_label': '744.2.q.c.25.1', 'source_level': 744, 'target_conrey_index': 1513, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015498054666424, 'target_is_minimal': False, 'target_label': '2232.2.q.e.1513.1', 'target_level': 2232, 'twist_class_label': '744.2.q.c.25.1', 'twist_class_level': 744, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41447125
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298799923944, 'source_is_minimal': True, 'source_label': '744.2.q.c.25.1', 'source_level': 744, 'target_conrey_index': 769, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545183696, 'target_is_minimal': False, 'target_label': '1488.2.q.a.769.1', 'target_level': 1488, 'twist_class_label': '744.2.q.c.25.1', 'twist_class_level': 744, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41447126
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 25, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298799923944, 'source_is_minimal': True, 'source_label': '744.2.q.c.25.1', 'source_level': 744, 'target_conrey_index': 625, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799923944, 'target_is_minimal': True, 'target_label': '744.2.q.c.625.1', 'target_level': 744, 'twist_class_label': '744.2.q.c.25.1', 'twist_class_level': 744, 'twisting_char_label': '31.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 41447127
{'conductor': 93, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298799923944, 'source_is_minimal': True, 'source_label': '744.2.q.c.25.1', 'source_level': 744, 'target_conrey_index': 1369, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015498054666424, 'target_is_minimal': False, 'target_label': '2232.2.q.e.1369.1', 'target_level': 2232, 'twist_class_label': '744.2.q.c.25.1', 'twist_class_level': 744, 'twisting_char_label': '93.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 41447128
{'conductor': 124, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 25, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008298799923944, 'source_is_minimal': True, 'source_label': '744.2.q.c.25.1', 'source_level': 744, 'target_conrey_index': 625, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545183696, 'target_is_minimal': False, 'target_label': '1488.2.q.a.625.1', 'target_level': 1488, 'twist_class_label': '744.2.q.c.25.1', 'twist_class_level': 744, 'twisting_char_label': '124.67', 'twisting_conrey_index': 67, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1279525
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9008298799923944, 'p': 2}
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id: 1279526
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 3}
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id: 1279527
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 5}
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id: 1279528
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 7}
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id: 1279529
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 11}
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id: 1279530
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9008298799923944, 'p': 13}
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id: 1279531
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 17}
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id: 1279532
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 19}
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id: 1279533
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9008298799923944, 'p': 23}
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id: 1279534
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 9008298799923944, 'p': 29}
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id: 1279535
{'charpoly_factorization': [[[31, -7, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 31}
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id: 1279536
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 37}
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id: 1279537
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 41}
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id: 1279538
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 43}
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id: 1279539
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 9008298799923944, 'p': 47}
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id: 1279540
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 53}
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id: 1279541
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 59}
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id: 1279542
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 9008298799923944, 'p': 61}
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id: 1279543
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 67}
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id: 1279544
{'charpoly_factorization': [[[256, -16, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 71}
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id: 1279545
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 73}
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id: 1279546
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 79}
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id: 1279547
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 9008298799923944, 'p': 83}
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id: 1279548
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9008298799923944, 'p': 89}
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id: 1279549
{'charpoly_factorization': [[[-19, 1], 2]], 'hecke_orbit_code': 9008298799923944, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 3, 'label': '744.2.q.c', 'level': 744, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31754101
{'hecke_orbit_code': 9008298799923944, 'n': 1, 'trace_an': 2}
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id: 31754102
{'hecke_orbit_code': 9008298799923944, 'n': 2, 'trace_an': 0}
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id: 31754103
{'hecke_orbit_code': 9008298799923944, 'n': 3, 'trace_an': 1}
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id: 31754104
{'hecke_orbit_code': 9008298799923944, 'n': 4, 'trace_an': 0}
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id: 31754105
{'hecke_orbit_code': 9008298799923944, 'n': 5, 'trace_an': -2}
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id: 31754106
{'hecke_orbit_code': 9008298799923944, 'n': 6, 'trace_an': 0}
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id: 31754107
{'hecke_orbit_code': 9008298799923944, 'n': 7, 'trace_an': 5}
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id: 31754108
{'hecke_orbit_code': 9008298799923944, 'n': 8, 'trace_an': 0}
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id: 31754109
{'hecke_orbit_code': 9008298799923944, 'n': 9, 'trace_an': -1}
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id: 31754110
{'hecke_orbit_code': 9008298799923944, 'n': 10, 'trace_an': 0}
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id: 31754111
{'hecke_orbit_code': 9008298799923944, 'n': 11, 'trace_an': -3}
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id: 31754112
{'hecke_orbit_code': 9008298799923944, 'n': 12, 'trace_an': 0}
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id: 31754113
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