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mf_newforms • Show schema
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{'Nk2': 3380, 'analytic_conductor': 6.747358970798192, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [845, 2, [677, 171], [1, 1]], 'cm_discs': [], 'conrey_index': 844, 'dim': 8, 'field_disc': 49787136, 'field_disc_factorization': [[2, 8], [3, 4], [7, 4]], 'field_poly': [16, 0, 12, 0, 5, 0, 3, 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, 0, -5, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405446726477, 'hecke_ring_generator_nbound': 3, '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, 5, 2, 1, 2, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 65, 4, 1, 2, 0]], 'is_cm': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3380, 'analytic_conductor': 6.747358970798192, 'char_conductor': 65, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [845, 2, [677, 171], [1, 1]], 'conrey_index': 844, 'cusp_dim': 76, 'dim': 68, 'eis_dim': 28, 'eis_new_dim': 20, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 206191985485, 'hecke_orbit_dims': [6, 6, 8, 12, 36], 'label': '845.2.d', 'level': 845, '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': [5, 13], 'level_radical': 65, 'mf_dim': 104, 'mf_new_dim': 88, 'num_forms': 5, 'prim_orbit_index': 4, 'relative_dim': 68, 'sturm_bound': 182, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [68, 0, 0, 64, 0, 0, 0, 0, -44, -8, 0, 0, 0, -24, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -20, -50, 0, 0, 0, 0, 4, -16, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 8, 0, 0, 0, 8, -48, 0, 0, 0, 0, -20, 0, 0, -56, 0, -40, 0, 0, 60, 0, 0, 0, 0, 16, -38, 0, 0, 0, -24, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, -62, 0, 0, 0, 0, -16, -32, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 220, 0, 20, 0, 0, 0, -22, 16, 0, 0, 0, 0, 80, 0, 0, -76, 0, 12, 0, 0, 24, 0, 0, 0, 0, 24, -90, 0, 0, 0, 44, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -80, -52, 0, 0, 0, 0, 34, -12, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 32, 0, 0, 0, 92, -124, 0, 0, 0, 0, -12, 0, 0, 136, 0, -152, 0, 0, 116, 0, 0, 0, 0, 72, -166, 0, 0, 0, -64, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, -72, -10, 0, 0, 0, 0, 82, -172, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 36, 0, 0, 0, 124, -44, 0, 0, 0, 0, -32, 0, 0, -16, 0, 12, 0, 0, 312, 0, 0, 0, 0, -112, 24, 0, 0, 0, -16, 0, -172, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 60, -150, 0, 0, 0, 0, 20, -84, 0, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, -88, 0, 0, 0, -134, -80, 0, 0, 0, 0, 16, 0, 0, -196, 0, -16, 0, 0, -4, 0, 0, 0, 0, -92, 70, 0, 0, 0, -36, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 4, -30, 0, 0, 0, 0, -108, 204, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 6, -4, 0, 0, 0, 0, -4, 0, 0, -28, 0, -4, 0, 0, 104, 0, 0, 0, 0, 108, -30, 0, 0, 0, 44, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, -110, 0, 0, 0, 44, -206, 0, 0, 0, 0, 110, 176, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 196, 0, 0, 0, -66, 68, 0, 0, 0, 0, -92, 0, 0, 12, 0, 132, 0, 0, 0, 0, 0, 0, 0, -380, 106, 0, 0, 0, -52, 0, 460, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 108, 144, 0, 0, 0, 0, -116, -72, 0, 0, 0, -212, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, -96, 0, 0, 0, 252, 8, 0, 0, 0, 0, 144, 0, 0, 108, 0, 444, 0, 0, -140, 0, 0, 0, 0, 252, 40, 0, 0, 0, 24, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, -224, 150, 0, 0, 0, 0, -46, 40, 0, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, -40, 0, 0, 0, -284, 204, 0, 0, 0, 0, 8, 0, 0, -128, 0, -116, 0, 0, -156, 0, 0, 0, 0, 44, -66, 0, 0, 0, -156, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -174, 0, 0, 0, 4, 248, 0, 0, 0, 0, 62, -244, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 416, 0, 0, 0, 2, 176, 0, 0, 0, 0, -352, 0, 0, 20, 0, 44, 0, 0, -512, 0, 0, 0, 0, -144, -160, 0, 0, 0, 352, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, -20, 246, 0, 0, 0, 0, -242, -212, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, -644, 0, 0, 0, -290, 240, 0, 0, 0, 0, 40, 0, 0, 572, 0, -168, 0, 0, -44, 0, 0, 0, 0, 376, 364, 0, 0, 0, 304, 0, 468, 0, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 348, 112, 0, 0, 0, 0, 38, 168, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 336, 0, 0, 0, 308, -360, 0, 0, 0, 0, 572, 0, 0, 228, 0, -12, 0, 0, -388, 0, 0, 0, 0, 140, -12, 0, 0, 0, -268, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, -256, 270, 0, 0, 0, 0, 206, 564, 0, 0, 0, -194, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, -60, 0, 0, 0, -52, 316, 0, 0, 0, 0, -304, 0, 0, -376, 0, -324, 0, 0, -560, 0, 0, 0, 0, 376, 312, 0, 0, 0, -196, 0, -308, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 496, -174, 0, 0, 0, 0, -84, 164, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, -328, 0, -268, 0, 0, 0, -94, -524, 0, 0, 0, 0, -32, 0, 0, -352, 0, 140, 0, 0, -164, 0, 0, 0, 0, -44, 430, 0, 0, 0, -116, 0, -424, 0, 0, 0, 0, 0, 0, 0, 0, -260, 0, 0, 0, 16, 58, 0, 0, 0, 0, 58, 84, 0, 0, 0, 242, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 404, 0, 0, 0, -282, 248, 0, 0, 0, 0, 216, 0, 0, 64, 0, -316, 0, 0, 224, 0, 0, 0, 0, -212, -188, 0, 0, 0, 180, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, -6], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40727471
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007405446726477, 'target_is_minimal': False, 'target_label': '845.2.d.c.844.5', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40727472
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007405446726477, 'target_is_minimal': False, 'target_label': '845.2.d.c.844.4', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40727473
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008092641493837, 'target_is_minimal': False, 'target_label': '845.2.n.c.529.4', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40727474
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 654, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540365, 'target_is_minimal': False, 'target_label': '845.2.l.c.654.2', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40727475
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 699, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007955202540365, 'target_is_minimal': False, 'target_label': '845.2.l.c.699.3', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40727476
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 339, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518066889884493, 'target_is_minimal': False, 'target_label': '845.2.b.f.339.3', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40727477
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 484, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864333, 'target_is_minimal': False, 'target_label': '845.2.n.d.484.1', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 40727478
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 484, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008092641493837, 'target_is_minimal': False, 'target_label': '845.2.n.c.484.3', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40727479
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 339, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518066889884493, 'target_is_minimal': False, 'target_label': '845.2.b.f.339.5', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 40727480
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 755947798593, 'target_is_minimal': True, 'target_label': '65.2.l.a.49.2', 'target_level': 65, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 40727481
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 4, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 755947798593, 'target_is_minimal': True, 'target_label': '65.2.l.a.4.3', 'target_level': 65, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 40727482
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511692268864333, 'target_is_minimal': False, 'target_label': '845.2.n.d.529.2', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40727483
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007405446726477, 'target_is_minimal': False, 'target_label': '845.2.d.c.844.3', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 40727484
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337333833, 'target_is_minimal': False, 'target_label': '585.2.bf.a.199.2', 'target_level': 585, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '39.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 40727485
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 244, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 2130337333833, 'target_is_minimal': False, 'target_label': '585.2.bf.a.244.3', 'target_level': 585, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 40727486
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 849, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4509303377495056, 'target_is_minimal': False, 'target_label': '1040.2.df.b.849.1', 'target_level': 1040, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '52.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 40727487
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4509303377495056, 'target_is_minimal': False, 'target_label': '1040.2.df.b.49.4', 'target_level': 1040, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '52.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 40727488
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 699, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540365, 'target_is_minimal': False, 'target_label': '845.2.l.c.699.2', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40727489
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 162129586618896513, 'target_is_minimal': False, 'target_label': '4225.2.a.bk.1.3', 'target_level': 4225, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 40727490
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 755947798593, 'target_is_minimal': True, 'target_label': '65.2.l.a.49.3', 'target_level': 65, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 40727491
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586618896513, 'target_is_minimal': False, 'target_label': '4225.2.a.bk.1.2', 'target_level': 4225, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 40727492
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 484, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008092641493837, 'target_is_minimal': False, 'target_label': '845.2.n.c.484.4', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 40727493
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 101, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504493014122821, 'target_is_minimal': False, 'target_label': '325.2.n.b.101.2', 'target_level': 325, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 40727494
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008092641493317, 'target_is_minimal': False, 'target_label': '325.2.n.c.251.1', 'target_level': 325, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 40727495
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008092641493837, 'target_is_minimal': False, 'target_label': '845.2.n.c.529.3', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 40727496
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 654, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007955202540365, 'target_is_minimal': False, 'target_label': '845.2.l.c.654.3', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 40727497
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 339, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518066889884493, 'target_is_minimal': False, 'target_label': '845.2.b.f.339.4', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 40727498
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 339, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22518066889884493, 'target_is_minimal': False, 'target_label': '845.2.b.f.339.6', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 40727499
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 157625986991526017, 'target_is_minimal': False, 'target_label': '4225.2.a.bj.1.2', 'target_level': 4225, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 40727500
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 101, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008092641493317, 'target_is_minimal': False, 'target_label': '325.2.n.c.101.1', 'target_level': 325, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.48', 'twisting_conrey_index': 48, 'weight': 2}
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id: 40727501
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 4, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 755947798593, 'target_is_minimal': True, 'target_label': '65.2.l.a.4.2', 'target_level': 65, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.49', 'twisting_conrey_index': 49, 'weight': 2}
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id: 40727502
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864333, 'target_is_minimal': False, 'target_label': '845.2.n.d.529.1', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.54', 'twisting_conrey_index': 54, 'weight': 2}
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id: 40727503
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 157625986991526017, 'target_is_minimal': False, 'target_label': '4225.2.a.bj.1.3', 'target_level': 4225, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.57', 'twisting_conrey_index': 57, 'weight': 2}
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id: 40727504
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 484, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511692268864333, 'target_is_minimal': False, 'target_label': '845.2.n.d.484.2', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 40727505
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504493014122821, 'target_is_minimal': False, 'target_label': '325.2.n.b.251.2', 'target_level': 325, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 40727506
{'conductor': 65, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007405446726477, 'target_is_minimal': False, 'target_label': '845.2.d.c.844.6', 'target_level': 845, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '65.64', 'twisting_conrey_index': 64, 'weight': 2}
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id: 40727507
{'conductor': 195, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 244, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337333833, 'target_is_minimal': False, 'target_label': '585.2.bf.a.244.2', 'target_level': 585, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '195.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 40727508
{'conductor': 195, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 2130337333833, 'target_is_minimal': False, 'target_label': '585.2.bf.a.199.3', 'target_level': 585, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '195.179', 'twisting_conrey_index': 179, 'weight': 2}
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id: 40727509
{'conductor': 260, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4509303377495056, 'target_is_minimal': False, 'target_label': '1040.2.df.b.49.1', 'target_level': 1040, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '260.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 40727510
{'conductor': 260, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 844, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 9007405446726477, 'source_is_minimal': False, 'source_label': '845.2.d.c.844.5', 'source_level': 845, 'target_conrey_index': 849, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4509303377495056, 'target_is_minimal': False, 'target_label': '1040.2.df.b.849.4', 'target_level': 1040, 'twist_class_label': '65.2.l.a.4.2', 'twist_class_level': 65, 'twisting_char_label': '260.179', 'twisting_conrey_index': 179, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1399425
{'charpoly_factorization': [[[1, 0, -5, 0, 1], 2]], 'hecke_orbit_code': 9007405446726477, 'p': 2}
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id: 1399426
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 9007405446726477, 'p': 3}
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id: 1399427
{'charpoly_factorization': [[[625, 0, 0, 0, -34, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007405446726477, 'p': 5}
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id: 1399428
{'charpoly_factorization': [[[-3, 0, 1], 4]], 'hecke_orbit_code': 9007405446726477, 'p': 7}
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id: 1399429
{'charpoly_factorization': [[[7, 0, 1], 4]], 'hecke_orbit_code': 9007405446726477, 'p': 11}
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id: 1399430
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007405446726477, 'p': 13}
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id: 1399431
{'charpoly_factorization': [[[21, 0, 1], 4]], 'hecke_orbit_code': 9007405446726477, 'p': 17}
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id: 1399432
{'charpoly_factorization': [[[3, 0, 1], 4]], 'hecke_orbit_code': 9007405446726477, 'p': 19}
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id: 1399433
{'charpoly_factorization': [[[21, 0, 1], 4]], 'hecke_orbit_code': 9007405446726477, 'p': 23}
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id: 1399434
{'charpoly_factorization': [[[-21, 0, 1], 4]], 'hecke_orbit_code': 9007405446726477, 'p': 29}
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id: 1399435
{'charpoly_factorization': [[[3600, 0, 132, 0, 1], 2]], 'hecke_orbit_code': 9007405446726477, 'p': 31}
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id: 1399436
{'charpoly_factorization': [[[-63, 0, 1], 4]], 'hecke_orbit_code': 9007405446726477, 'p': 37}
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id: 1399437
{'charpoly_factorization': [[[7, 0, 1], 4]], 'hecke_orbit_code': 9007405446726477, 'p': 41}
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id: 1399438
{'charpoly_factorization': [[[225, 0, 114, 0, 1], 2]], 'hecke_orbit_code': 9007405446726477, 'p': 43}
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id: 1399439
{'charpoly_factorization': [[[256, 0, -80, 0, 1], 2]], 'hecke_orbit_code': 9007405446726477, 'p': 47}
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id: 1399440
{'charpoly_factorization': [[[144, 0, 60, 0, 1], 2]], 'hecke_orbit_code': 9007405446726477, 'p': 53}
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id: 1399441
{'charpoly_factorization': [[[2209, 0, 206, 0, 1], 2]], 'hecke_orbit_code': 9007405446726477, 'p': 59}
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id: 1399442
{'charpoly_factorization': [[[15, 12, 1], 4]], 'hecke_orbit_code': 9007405446726477, 'p': 61}
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id: 1399443
{'charpoly_factorization': [[[225, 0, -222, 0, 1], 2]], 'hecke_orbit_code': 9007405446726477, 'p': 67}
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id: 1399444
{'charpoly_factorization': [[[625, 0, 62, 0, 1], 2]], 'hecke_orbit_code': 9007405446726477, 'p': 71}
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id: 1399445
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007405446726477, 'p': 73}
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id: 1399446
{'charpoly_factorization': [[[-6, 1], 8]], 'hecke_orbit_code': 9007405446726477, 'p': 79}
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id: 1399447
{'charpoly_factorization': [[[4624, 0, -164, 0, 1], 2]], 'hecke_orbit_code': 9007405446726477, 'p': 83}
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id: 1399448
{'charpoly_factorization': [[[1681, 0, 110, 0, 1], 2]], 'hecke_orbit_code': 9007405446726477, 'p': 89}
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id: 1399449
{'charpoly_factorization': [[[2601, 0, -150, 0, 1], 2]], 'hecke_orbit_code': 9007405446726477, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 3, 'label': '845.2.d.c', 'level': 845, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 30185977
{'hecke_orbit_code': 9007405446726477, 'n': 1, 'trace_an': 8}
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id: 30185978
{'hecke_orbit_code': 9007405446726477, 'n': 2, 'trace_an': 0}
-
id: 30185979
{'hecke_orbit_code': 9007405446726477, 'n': 3, 'trace_an': 0}
-
id: 30185980
{'hecke_orbit_code': 9007405446726477, 'n': 4, 'trace_an': 4}
-
id: 30185981
{'hecke_orbit_code': 9007405446726477, 'n': 5, 'trace_an': 0}
-
id: 30185982
{'hecke_orbit_code': 9007405446726477, 'n': 6, 'trace_an': 0}
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id: 30185983
{'hecke_orbit_code': 9007405446726477, 'n': 7, 'trace_an': 0}
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id: 30185984
{'hecke_orbit_code': 9007405446726477, 'n': 8, 'trace_an': 0}
-
id: 30185985
{'hecke_orbit_code': 9007405446726477, 'n': 9, 'trace_an': 16}
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id: 30185986
{'hecke_orbit_code': 9007405446726477, 'n': 10, 'trace_an': 8}
-
id: 30185987
{'hecke_orbit_code': 9007405446726477, 'n': 11, 'trace_an': 0}
-
id: 30185988
{'hecke_orbit_code': 9007405446726477, 'n': 12, 'trace_an': 0}
-
id: 30185989
{'hecke_orbit_code': 9007405446726477, 'n': 13, 'trace_an': 0}
-
id: 30185990
{'hecke_orbit_code': 9007405446726477, 'n': 14, 'trace_an': 12}
-
id: 30185991
{'hecke_orbit_code': 9007405446726477, 'n': 15, 'trace_an': 0}
-
id: 30185992
{'hecke_orbit_code': 9007405446726477, 'n': 16, 'trace_an': 4}
-
id: 30185993
{'hecke_orbit_code': 9007405446726477, 'n': 17, 'trace_an': 0}
-
id: 30185994
{'hecke_orbit_code': 9007405446726477, 'n': 18, 'trace_an': 0}
-
id: 30185995
{'hecke_orbit_code': 9007405446726477, 'n': 19, 'trace_an': 0}
-
id: 30185996
{'hecke_orbit_code': 9007405446726477, 'n': 20, 'trace_an': 0}
-
id: 30185997
{'hecke_orbit_code': 9007405446726477, 'n': 21, 'trace_an': 0}
-
id: 30185998
{'hecke_orbit_code': 9007405446726477, 'n': 22, 'trace_an': 0}
-
id: 30185999
{'hecke_orbit_code': 9007405446726477, 'n': 23, 'trace_an': 0}
-
id: 30186000
{'hecke_orbit_code': 9007405446726477, 'n': 24, 'trace_an': 0}
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id: 30186001
{'hecke_orbit_code': 9007405446726477, 'n': 25, 'trace_an': 0}
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