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mf_newforms • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 39, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 12, 'char_parity': 1, 'char_values': [507, 12, [170, 340], [6, 1]], 'cm_discs': [], 'conrey_index': 80, 'dim': 8, 'field_disc': 56070144, 'field_disc_factorization': [[2, 12], [3, 4], [13, 2]], 'field_poly': [13, -38, 70, -74, 63, -34, 16, -4, 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, [169, 0, 78, 0, -1, 0, -6, 0, 1]], [5, [169, 0, 0, 0, 38, 0, 0, 0, 1]], [7, [4, 4, 2, 2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015085737804283, 'hecke_ring_generator_nbound': 3, '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, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'char_conductor': 39, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 12, 'char_parity': 1, 'char_values': [507, 12, [170, 340], [6, 1]], 'conrey_index': 80, 'cusp_dim': 188, 'dim': 164, 'eis_dim': 112, 'eis_new_dim': 80, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 687228322299, 'hecke_orbit_dims': [4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 96], 'label': '507.2.k', 'level': 507, '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': [3, 13], 'level_radical': 39, 'mf_dim': 300, 'mf_new_dim': 244, 'num_forms': 11, 'prim_orbit_index': 11, 'relative_dim': 41, 'sturm_bound': 121, 'trace_bound': 7, 'trace_display': [0, 2, 0, 14], 'traces': [164, 0, 2, 12, 0, 2, 14, 0, 2, -12, 0, 0, 0, 0, 14, 4, 0, -4, 2, 0, -22, -12, 0, -18, 0, 0, -76, 0, 0, -18, 6, 0, -16, 36, 0, 36, 30, 0, 0, -56, 0, 24, -30, 0, 20, 0, 0, 106, -18, 0, 0, 0, 0, -46, 4, 0, -28, -28, 0, -44, -36, 0, -16, 0, 0, 0, 8, 0, 0, 32, 0, -12, 62, 0, 18, 36, 0, 0, -112, 0, 14, 24, 0, 8, -12, 0, -22, 12, 0, 0, 0, 0, -10, -112, 0, -16, 18, 0, -40, -200, 0, -42, 0, 0, -120, 44, 0, 6, 26, 0, -40, 0, 0, -36, 0, 0, 0, -208, 0, -74, 48, 0, -22, 76, 0, 12, -84, 0, 0, 0, 0, 44, 154, 0, 8, -60, 0, 0, 146, 0, 8, 0, 0, -40, -40, 0, 72, -28, 0, 16, -24, 0, 60, -40, 0, 0, 300, 0, -34, 12, 0, 8, 48, 0, 40, 36, 0, 0, 0, 0, 2, -132, 0, 28, -24, 0, 32, 52, 0, 16, 0, 0, -88, 0, 0, -108, -48, 0, 56, -8, 0, -66, -58, 0, 0, 216, 0, 204, -48, 0, -16, -192, 0, -134, -24, 0, 0, 0, 0, 16, -28, 0, 32, 152, 0, 84, -58, 0, 44, 0, 0, 76, -70, 0, 0, 44, 0, 40, -28, 0, 36, 96, 0, 0, 80, 0, -50, 12, 0, 38, 18, 0, -98, 144, 0, 0, 0, 0, -16, 124, 0, -52, 0, 0, 24, 284, 0, 48, 0, 0, -128, -4, 0, -60, -28, 0, -76, -132, 0, -78, -30, 0, 0, -176, 0, -96, -180, 0, -58, -60, 0, 76, 108, 0, 0, 0, 0, -16, 262, 0, 86, -72, 0, 80, 64, 0, 68, 0, 0, 600, 36, 0, 138, -120, 0, 60, -54, 0, 24, -68, 0, 0, -160, 0, -256, 108, 0, -2, 68, 0, -68, 0, 0, 0, 0, 0, 104, -272, 0, -20, 176, 0, -4, -32, 0, 8, 0, 0, 652, 72, 0, 48, -42, 0, 0, -24, 0, -114, -88, 0, 0, -152, 0, 376, -24, 0, -24, 132, 0, -172, -144, 0, 0, 0, 0, -98, 126, 0, 44, -88, 0, 88, -32, 0, -30, 0, 0, 760, -54, 0, 30, 152, 0, 150, 8, 0, -90, -128, 0, 0, -112, 0, -12, -36, 0, -4, -88, 0, -2, -36, 0, 0, 0, 0, 56, -108, 0, 60, -142, 0, 8, 88, 0, 0, 0, 0, -240, 8, 0, 72, -10, 0, -64, -60, 0, -36, 2, 0, 0, -360, 0, -162, 132, 0, -62, -120, 0, 154, 150, 0, 0, 0, 0, -118, -4, 0, -52, 116, 0, 40, 84, 0, 62, 0, 0, -624, 132, 0, -114, 0, 0, 4, 54, 0, 108, 120, 0, 0, -108, 0, -386, 96, 0, 4, 18, 0, -316, 132, 0, 0, 0, 0, 0, 244, 0, -40, 42, 0, 14, -440, 0, -2, 0, 0, -656, -76, 0, -24, -72, 0, 92, -144, 0, -12, 84, 0, 0, -736, 0, 366, -186, 0, 62, -120, 0, 72, -144, 0, 0, 0, 0, 148, -572, 0, -106, -100, 0, -76, 358, 0, -40, 0, 0, -560, -184, 0, -12, -136, 0, -146, -10, 0, 18, -24, 0, 0, -580, 0, 288, -48, 0, 0, -76, 0, 222, 48, 0, 0, 0, 0, -24, 112, 0, 176, 92, 0, -10, 56, 0, 44, 0, 0, -320, -4, 0, -84, 168, 0, -52, 148, 0, 192, -4, 0, 0, 184, 0, -62, 138, 0, 20, 128, 0, -304, -12, 0, 0, 0, 0, -12, 64, 0, 146, -52, 0, -84, -572, 0, 28, 0, 0, -96, 0, 0, 42, 72, 0, -120, 218, 0, 0, 48, 0, 0, 948, 0, -308, -192, 0, -32, 56, 0, 222, -216, 0, 0, 0, 0, 32, 412, 0, -152, -70, 0, 84, 648, 0, -72, 0, 0, 144, -256, 0, -48, -40, 0, 50, 128, 0, 12, -96, 0, 0, 1288, 0, -100, 0, 0, 62, 208, 0, 404, 18, 0, 0, 0, 0, 22, -206, 0, -136, 56, 0, -128, -24, 0, -202, 0, 0, -120, 246, 0, -48, -88, 0, 6, -84, 0, -108, 88, 0, 0, 480, 0, 340, 300, 0, -28, 114, 0, 0, -60, 0, 0, 0, 0, -76, -12, 0, -76, -102, 0, -160, -768, 0, -70, 0, 0, -124, 188, 0, 42, 186, 0, -70, 0, 0, -36, 98, 0, 0, 1384, 0, 28, 0, 0, 44, -60, 0, -130, 24, 0, 0, 0, 0, 8, -48, 0, 0, 48, 0, -132, 488, 0, -36, 0, 0, 444, 150, 0, 18, 168, 0, 84, -110, 0, 162, 144, 0, 0, -96, 0, 42, 48, 0, 64, 90, 0, 20, -24, 0, 0, 0, 0, -14, 148, 0, -8, 96, 0, -112, -316, 0, -20, 0, 0, 824, 300, 0, 180, -190, 0, 122, 176, 0, 114, 54, 0, 0, -176, 0, -446, 60, 0, 44, 56, 0, 612, -84, 0, 0, 0, 0, -68, -16, 0, -166, -76, 0, -36, -646, 0, 110, 0, 0, 1016, -162, 0, -150, 48, 0, -116, 102, 0, -48, -120, 0, 0, -256, 0, 700, -180, 0, 38, -96, 0, -204, -216, 0, 0, 0, 0, -220, -712, 0, 20, -246, 0, -100, 220, 0, -100, 0, 0, 680, -256, 0, -114, 26, 0, -64, 336, 0, 78, 108, 0, 0, -120, 0, 68, 48, 0, 12, -180, 0, 60, 120, 0, 0, 0, 0, 44, -24, 0, 112, 192, 0, 0, 148, 0, -46, 0, 0, -16, -106, 0, 210, 68, 0, -40, 116, 0, -12, -36, 0, 0, 520, 0, 186, -288, 0, 34, 0, 0, 720, 72, 0, 0, 0, 0, 122, 708, 0, 88, 20, 0, 124, 76, 0, -86, 0, 0, -320, 236, 0, 0, 152, 0, -36, -200, 0, 270, 160, 0, 0, -1496, 0, -908, 72, 0, -52, 276, 0, -1070, 36, 0, 0, 0, 0, -20, 504, 0, -46, 8, 0, 28, -330, 0, 32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44453349
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015085737804283, 'target_is_minimal': False, 'target_label': '507.2.k.e.89.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44453350
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015085737804283, 'target_is_minimal': False, 'target_label': '507.2.k.e.89.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44453351
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 239, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518341767791099, 'target_is_minimal': False, 'target_label': '507.2.f.f.239.4', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44453352
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 437, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518341767791099, 'target_is_minimal': False, 'target_label': '507.2.f.f.437.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44453353
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 488, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511486110433787, 'target_is_minimal': False, 'target_label': '507.2.k.d.488.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44453354
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 2, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504286855692327, 'target_is_minimal': True, 'target_label': '39.2.k.b.2.2', 'target_level': 39, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 44453355
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 188, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015085737804283, 'target_is_minimal': False, 'target_label': '507.2.k.e.188.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 44453356
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 188, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518685365174779, 'target_is_minimal': False, 'target_label': '507.2.k.f.188.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 44453357
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 80, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511486110433787, 'target_is_minimal': False, 'target_label': '507.2.k.d.80.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 44453358
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 20, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692327, 'target_is_minimal': True, 'target_label': '39.2.k.b.20.1', 'target_level': 39, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 44453359
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 437, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014742140420603, 'target_is_minimal': False, 'target_label': '507.2.f.e.437.4', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 44453360
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 239, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140420603, 'target_is_minimal': False, 'target_label': '507.2.f.e.239.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44453361
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518685365174779, 'target_is_minimal': False, 'target_label': '507.2.k.f.89.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 44453362
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 239, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518341767791099, 'target_is_minimal': False, 'target_label': '507.2.f.f.239.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44453363
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 2, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692327, 'target_is_minimal': True, 'target_label': '39.2.k.b.2.1', 'target_level': 39, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 44453364
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 80, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511486110433787, 'target_is_minimal': False, 'target_label': '507.2.k.d.80.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.8', 'twisting_conrey_index': 8, 'weight': 2}
-
id: 44453365
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 239, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014742140420603, 'target_is_minimal': False, 'target_label': '507.2.f.e.239.4', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44453366
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 488, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511486110433787, 'target_is_minimal': False, 'target_label': '507.2.k.d.488.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.17', 'twisting_conrey_index': 17, 'weight': 2}
-
id: 44453367
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 188, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518685365174779, 'target_is_minimal': False, 'target_label': '507.2.k.f.188.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 44453368
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 437, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140420603, 'target_is_minimal': False, 'target_label': '507.2.f.e.437.1', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.23', 'twisting_conrey_index': 23, 'weight': 2}
-
id: 44453369
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 437, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518341767791099, 'target_is_minimal': False, 'target_label': '507.2.f.f.437.4', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.29', 'twisting_conrey_index': 29, 'weight': 2}
-
id: 44453370
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 188, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015085737804283, 'target_is_minimal': False, 'target_label': '507.2.k.e.188.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.32', 'twisting_conrey_index': 32, 'weight': 2}
-
id: 44453371
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 20, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504286855692327, 'target_is_minimal': True, 'target_label': '39.2.k.b.20.2', 'target_level': 39, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
-
id: 44453372
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 89, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518685365174779, 'target_is_minimal': False, 'target_label': '507.2.k.f.89.2', 'target_level': 507, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 44453373
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 353, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9011666054283888, 'target_is_minimal': False, 'target_label': '624.2.cn.c.353.2', 'target_level': 624, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 44453374
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9011666054283888, 'target_is_minimal': False, 'target_label': '624.2.cn.c.449.1', 'target_level': 624, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '52.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 44453375
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 176, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13513547694736335, 'target_is_minimal': False, 'target_label': '975.2.bo.d.176.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '65.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 44453376
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18017216041583567, 'target_is_minimal': False, 'target_label': '975.2.bp.e.899.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '65.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 44453377
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18017216041583567, 'target_is_minimal': False, 'target_label': '975.2.bp.e.449.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '65.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 44453378
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 626, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513547694736335, 'target_is_minimal': False, 'target_label': '975.2.bo.d.626.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '65.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 44453379
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22520815668954063, 'target_is_minimal': False, 'target_label': '975.2.bp.f.449.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '65.48', 'twisting_conrey_index': 48, 'weight': 2}
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id: 44453380
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22520815668954063, 'target_is_minimal': False, 'target_label': '975.2.bp.f.899.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '65.57', 'twisting_conrey_index': 57, 'weight': 2}
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id: 44453381
{'conductor': 156, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9011666054283888, 'target_is_minimal': False, 'target_label': '624.2.cn.c.449.2', 'target_level': 624, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.35', 'twisting_conrey_index': 35, 'weight': 2}
-
id: 44453382
{'conductor': 156, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 353, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9011666054283888, 'target_is_minimal': False, 'target_label': '624.2.cn.c.353.1', 'target_level': 624, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '156.83', 'twisting_conrey_index': 83, 'weight': 2}
-
id: 44453383
{'conductor': 195, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 626, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13513547694736335, 'target_is_minimal': False, 'target_label': '975.2.bo.d.626.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '195.44', 'twisting_conrey_index': 44, 'weight': 2}
-
id: 44453384
{'conductor': 195, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 176, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13513547694736335, 'target_is_minimal': False, 'target_label': '975.2.bo.d.176.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '195.74', 'twisting_conrey_index': 74, 'weight': 2}
-
id: 44453385
{'conductor': 195, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18017216041583567, 'target_is_minimal': False, 'target_label': '975.2.bp.e.899.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '195.83', 'twisting_conrey_index': 83, 'weight': 2}
-
id: 44453386
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22520815668954063, 'target_is_minimal': False, 'target_label': '975.2.bp.f.449.2', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '195.113', 'twisting_conrey_index': 113, 'weight': 2}
-
id: 44453387
{'conductor': 195, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22520815668954063, 'target_is_minimal': False, 'target_label': '975.2.bp.f.899.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '195.122', 'twisting_conrey_index': 122, 'weight': 2}
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id: 44453388
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 89, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015085737804283, 'source_is_minimal': False, 'source_label': '507.2.k.e.89.2', 'source_level': 507, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18017216041583567, 'target_is_minimal': False, 'target_label': '975.2.bp.e.449.1', 'target_level': 975, 'twist_class_label': '39.2.k.b.2.1', 'twist_class_level': 39, 'twisting_char_label': '195.152', 'twisting_conrey_index': 152, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 980925
{'charpoly_factorization': [[[169, 0, 78, 0, -1, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 2}
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id: 980926
{'charpoly_factorization': [[[81, 54, 0, -12, -5, -4, 0, 2, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 3}
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id: 980927
{'charpoly_factorization': [[[169, 0, 0, 0, 38, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 5}
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id: 980928
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 2]], 'hecke_orbit_code': 18015085737804283, 'p': 7}
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id: 980929
{'charpoly_factorization': [[[2704, 0, 1248, 0, 140, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 11}
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id: 980930
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18015085737804283, 'p': 13}
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id: 980931
{'charpoly_factorization': [[[13689, 0, 3510, 0, 783, 0, 30, 0, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 17}
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id: 980932
{'charpoly_factorization': [[[16, -32, 20, -4, 1], 2]], 'hecke_orbit_code': 18015085737804283, 'p': 19}
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id: 980933
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18015085737804283, 'p': 23}
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id: 980934
{'charpoly_factorization': [[[2474329, 0, -128986, 0, 5151, 0, -82, 0, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 29}
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id: 980935
{'charpoly_factorization': [[[484, 88, 8, -4, 1], 2]], 'hecke_orbit_code': 18015085737804283, 'p': 31}
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id: 980936
{'charpoly_factorization': [[[1369, -518, 113, -16, 1], 2]], 'hecke_orbit_code': 18015085737804283, 'p': 37}
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id: 980937
{'charpoly_factorization': [[[169, 0, -702, 0, 959, 0, 54, 0, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 41}
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id: 980938
{'charpoly_factorization': [[[324, 324, 126, 18, 1], 2]], 'hecke_orbit_code': 18015085737804283, 'p': 43}
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id: 980939
{'charpoly_factorization': [[[11075584, 0, 0, 0, 9728, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 47}
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id: 980940
{'charpoly_factorization': [[[13, 0, 22, 0, 1], 2]], 'hecke_orbit_code': 18015085737804283, 'p': 53}
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id: 980941
{'charpoly_factorization': [[[43264, 0, 4992, 0, -16, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 59}
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id: 980942
{'charpoly_factorization': [[[49, -7, 1], 4]], 'hecke_orbit_code': 18015085737804283, 'p': 61}
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id: 980943
{'charpoly_factorization': [[[2704, -1040, 164, -16, 1], 2]], 'hecke_orbit_code': 18015085737804283, 'p': 67}
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id: 980944
{'charpoly_factorization': [[[43264, 0, -4992, 0, -16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 71}
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id: 980945
{'charpoly_factorization': [[[121, 154, 98, 14, 1], 2]], 'hecke_orbit_code': 18015085737804283, 'p': 73}
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id: 980946
{'charpoly_factorization': [[[-2, 1], 8]], 'hecke_orbit_code': 18015085737804283, 'p': 79}
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id: 980947
{'charpoly_factorization': [[[2704, 0, 0, 0, 296, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 83}
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id: 980948
{'charpoly_factorization': [[[77228944, 0, -210912, 0, -8596, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 18015085737804283, 'p': 89}
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id: 980949
{'charpoly_factorization': [[[484, 220, 194, 26, 1], 2]], 'hecke_orbit_code': 18015085737804283, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 5, 'label': '507.2.k.e', 'level': 507, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 160084000
{'hecke_orbit_code': 18015085737804283, 'n': 1, 'trace_an': 8}
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id: 160084001
{'hecke_orbit_code': 18015085737804283, 'n': 2, 'trace_an': 0}
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id: 160084002
{'hecke_orbit_code': 18015085737804283, 'n': 3, 'trace_an': -2}
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id: 160084003
{'hecke_orbit_code': 18015085737804283, 'n': 4, 'trace_an': 12}
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id: 160084004
{'hecke_orbit_code': 18015085737804283, 'n': 5, 'trace_an': 0}
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id: 160084005
{'hecke_orbit_code': 18015085737804283, 'n': 6, 'trace_an': -14}
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