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mf_newforms • Show schema
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{'Nk2': 396, 'analytic_conductor': 0.7905189800106758, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [99, 5, [56, 46], [5, 1]], 'cm_discs': [], 'conrey_index': 37, 'dim': 8, 'field_disc': 484000000, 'field_disc_factorization': [[2, 8], [5, 6], [11, 2]], 'field_poly': [121, 0, 66, 0, 16, 0, 1, 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, [121, 0, 66, 0, 16, 0, 1, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007542885679203, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 11, 3, 1, 5, 0], [1, 1, 33, 8, -1, 10, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 396, 'analytic_conductor': 0.7905189800106758, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [99, 5, [56, 46], [5, 1]], 'conrey_index': 37, 'cusp_dim': 32, 'dim': 16, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 343630938211, 'hecke_orbit_dims': [4, 4, 8], 'label': '99.2.f', 'level': 99, '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, 11], 'level_radical': 33, 'mf_dim': 64, 'mf_new_dim': 24, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 4, 'sturm_bound': 24, 'trace_bound': 2, 'trace_display': [4, 0, 4, -8], 'traces': [16, 4, 0, -4, 4, 0, -8, -8, 0, -24, 2, 0, -8, -2, 0, 12, -14, 0, -8, -6, 0, 24, 12, 0, 8, -10, 0, 24, 4, 0, 8, 48, 0, -8, 0, 0, -12, 10, 0, -12, -20, 0, -16, -34, 0, -32, -14, 0, -40, -18, 0, 16, -10, 0, 8, -12, 0, 4, 26, 0, 24, 28, 0, 52, 28, 0, 0, 28, 0, 20, 12, 0, 44, 30, 0, 8, 2, 0, 24, -22, 0, -4, -34, 0, 44, -8, 0, -76, 4, 0, 8, -10, 0, -8, -30, 0, -84, -40, 0, -56, -6, 0, -8, -34, 0, -68, -24, 0, -104, 6, 0, -8, 28, 0, 44, 36, 0, -28, 6, 0, 56, -48, 0, 36, 28, 0, -4, 2, 0, 20, 40, 0, 56, 30, 0, 12, 10, 0, 8, 24, 0, 144, 32, 0, 60, 28, 0, -32, 18, 0, 20, 20, 0, 116, -12, 0, -72, -54, 0, -28, 24, 0, 52, -64, 0, 0, -72, 0, 24, 8, 0, 84, -22, 0, 0, -10, 0, -44, -8, 0, -44, 48, 0, -60, -4, 0, -152, 108, 0, -52, 0, 0, -12, -34, 0, -136, -96, 0, -144, -12, 0, 4, -24, 0, -76, 60, 0, 0, 10, 0, 40, 22, 0, 112, 24, 0, -8, -12, 0, -36, -64, 0, 36, -6, 0, -132, -20, 0, 52, -24, 0, 168, -16, 0, -16, -46, 0, 68, 14, 0, 160, 24, 0, 80, 4, 0, 36, -6, 0, 12, 86, 0, 16, 0, 0, 20, 54, 0, 48, 4, 0, 72, 28, 0, 8, -10, 0, -44, 48, 0, 124, 0, 0, -8, 70, 0, -88, -68, 0, -52, 24, 0, -36, -6, 0, -116, 28, 0, 32, -8, 0, -16, -52, 0, -116, -108, 0, -72, -30, 0, -48, -4, 0, -172, -30, 0, -16, -18, 0, -64, 28, 0, -24, 48, 0, -104, 10, 0, -16, 28, 0, -44, 0, 0, 48, 16, 0, 44, -24, 0, 160, 6, 0, 56, -34, 0, -24, 40, 0, 192, -76, 0, 52, 100, 0, 72, -8, 0, 68, -30, 0, 172, 72, 0, -12, -74, 0, 20, -28, 0, 124, 28, 0, -24, 12, 0, 12, 16, 0, 56, -34, 0, -40, 42, 0, 32, 12, 0, -96, 0, 0, -12, -22, 0, 16, -52, 0, -40, -18, 0, -32, 88, 0, -116, 28, 0, -88, 0, 0, 40, 58, 0, -68, -78, 0, -352, 14, 0, 20, -30, 0, 96, -56, 0, -44, 2, 0, 72, -4, 0, -84, -4, 0, -52, 0, 0, -124, 88, 0, 40, -2, 0, -164, -14, 0, 64, 30, 0, -40, -4, 0, -8, -128, 0, 48, -12, 0, 84, -48, 0, 100, -96, 0, 120, -22, 0, -80, -24, 0, 64, 92, 0, -32, 36, 0, 100, -54, 0, 84, -22, 0, -136, -46, 0, -8, 6, 0, -64, -42, 0, 76, 36, 0, -184, -56, 0, 96, 162, 0, 176, 46, 0, 52, 40, 0, 48, 96, 0, 116, 30, 0, -224, 92, 0, 80, -20, 0, 20, 90, 0, 36, -58, 0, 136, 8, 0, -92, 76, 0, 64, -28, 0, 116, -54, 0, 80, 52, 0, 40, 20, 0, 124, 102, 0, 44, -38, 0, 200, 16, 0, -92, -54, 0, -224, -36, 0, 88, -66, 0, 76, 0, 0, 16, 88, 0, 112, 94, 0, 88, 16, 0, -256, 10, 0, -80, -72, 0, 200, -12, 0, -88, -70, 0, -120, -14, 0, -64, -102, 0, -100, -50, 0, -20, -88, 0, -192, -104, 0, -32, 48, 0, -84, 12, 0, -232, 42, 0, -188, -68, 0, -164, -54, 0, -216, -86, 0, 56, -160, 0, -176, -14, 0, -156, 6, 0, 20, -132, 0, 48, 58, 0, 92, -4, 0, 36, 100, 0, -32, 22, 0, -76, 62, 0, 36, 16, 0, 208, -76, 0, -132, 30, 0, 164, -18, 0, 156, -14, 0, 112, 104, 0, 96, 62, 0, -32, -6, 0, 88, 64, 0, 144, -24, 0, 4, 30, 0, -4, 56, 0, -16, 18, 0, 40, 92, 0, 72, 56, 0, 56, -22, 0, 64, 164, 0, 108, -22, 0, 28, -6, 0, -124, 244, 0, 232, -14, 0, 180, 96, 0, -24, -98, 0, -192, 64, 0, 248, 4, 0, 92, -14, 0, 32, -6, 0, -52, 8, 0, 64, -76, 0, -112, -66, 0, -32, -144, 0, 168, -66, 0, -44, -98, 0, -56, -78, 0, -32, -36, 0, -20, 28, 0, 20, 14, 0, 0, 80, 0, -32, -4, 0, -184, -160, 0, 92, -28, 0, 148, -212, 0, -64, 78, 0, 60, 66, 0, -56, 78, 0, -176, 6, 0, -80, -40, 0, 12, 4, 0, -180, 40, 0, -52, 20, 0, -64, 0, 0, -124, 10, 0, -108, 108, 0, -120, -108, 0, -56, -72, 0, -36, 48, 0, -56, 80, 0, -152, 20, 0, 80, 44, 0, -104, -36, 0, 52, 116, 0, -168, 68, 0, -100, 128, 0, -32, -184, 0, 240, 28, 0, 76, 18, 0, 104, -12, 0, 32, 230, 0, 260, -96, 0, -92, 10, 0, -156, -24, 0, 32, -12, 0, 108, -20, 0, -20, -78, 0, 72, -132, 0, 248, -62, 0, -184, 12, 0, 76, -144, 0, 240, -104, 0, -168, 156, 0, 112, 26, 0, 52, 60, 0, 0, -152, 0, 160, 30, 0, -108, -104, 0, -108, 32, 0, 112, 30, 0, 52, 28, 0, 4, 88, 0, 280, 94, 0, -160, 58, 0, 64, -26, 0, -24, 6, 0, 228, 12, 0, -12, 18, 0, 208, -22, 0, -44, -212, 0, 40, -2, 0, -120, 34, 0, -96, -112, 0, 80, 12, 0, -48, 6, 0, 92, 158, 0, -92, 34, 0, -144, -60, 0, -92, 100, 0, -140, 16, 0, 12, 36, 0, -392, -38, 0, 84, -76, 0, -116, 92, 0, 128, -58, 0, 224, 40, 0, -208, 88, 0, 272, 2, 0, -144, -88, 0, -276, -52, 0, 20, -28, 0, 24, 36, 0, -384, -44, 0, -148, -40, 0, 108, 86, 0, -160], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40883815
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 91, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679203, 'target_is_minimal': True, 'target_label': '99.2.f.c.91.1', 'target_level': 99, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40883816
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 91, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885679203, 'target_is_minimal': True, 'target_label': '99.2.f.c.91.2', 'target_level': 99, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40883817
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 190, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015291896234875, 'target_is_minimal': False, 'target_label': '891.2.n.e.190.1', 'target_level': 891, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40883818
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 784, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015291896234875, 'target_is_minimal': False, 'target_label': '891.2.n.e.784.1', 'target_level': 891, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40883819
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 784, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015291896234875, 'target_is_minimal': False, 'target_label': '891.2.n.e.784.2', 'target_level': 891, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40883820
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 190, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015291896234875, 'target_is_minimal': False, 'target_label': '891.2.n.e.190.2', 'target_level': 891, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40883821
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835706433, 'target_is_minimal': False, 'target_label': '1089.2.a.w.1.1', 'target_level': 1089, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40883822
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 37, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679203, 'target_is_minimal': True, 'target_label': '99.2.f.c.37.1', 'target_level': 99, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40883823
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94575592208335937, 'target_is_minimal': False, 'target_label': '1089.2.a.v.1.4', 'target_level': 1089, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 40883824
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 99079191835706433, 'target_is_minimal': False, 'target_label': '1089.2.a.w.1.4', 'target_level': 1089, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '33.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40883825
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208335937, 'target_is_minimal': False, 'target_label': '1089.2.a.v.1.1', 'target_level': 1089, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '33.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 40883826
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 37, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885679203, 'target_is_minimal': True, 'target_label': '99.2.f.c.37.2', 'target_level': 99, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '33.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 40883827
{'conductor': 99, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 136, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015291896234875, 'target_is_minimal': False, 'target_label': '891.2.n.e.136.2', 'target_level': 891, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '99.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40883828
{'conductor': 99, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 136, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015291896234875, 'target_is_minimal': False, 'target_label': '891.2.n.e.136.1', 'target_level': 891, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '99.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 40883829
{'conductor': 99, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 433, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015291896234875, 'target_is_minimal': False, 'target_label': '891.2.n.e.433.1', 'target_level': 891, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '99.70', 'twisting_conrey_index': 70, 'weight': 2}
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id: 40883830
{'conductor': 99, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 91, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007542885679203, 'source_is_minimal': True, 'source_label': '99.2.f.c.91.1', 'source_level': 99, 'target_conrey_index': 433, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015291896234875, 'target_is_minimal': False, 'target_label': '891.2.n.e.433.2', 'target_level': 891, 'twist_class_label': '99.2.f.c.37.1', 'twist_class_level': 99, 'twisting_char_label': '99.92', 'twisting_conrey_index': 92, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 295075
{'charpoly_factorization': [[[121, 0, 66, 0, 16, 0, 1, 0, 1], 1]], 'hecke_orbit_code': 9007542885679203, 'p': 2}
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id: 295076
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542885679203, 'p': 3}
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id: 295077
{'charpoly_factorization': [[[121, 0, 66, 0, 16, 0, 1, 0, 1], 1]], 'hecke_orbit_code': 9007542885679203, 'p': 5}
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id: 295078
{'charpoly_factorization': [[[1, 7, 19, 3, 1], 2]], 'hecke_orbit_code': 9007542885679203, 'p': 7}
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id: 295079
{'charpoly_factorization': [[[14641, 0, -2299, 0, 231, 0, -19, 0, 1], 1]], 'hecke_orbit_code': 9007542885679203, 'p': 11}
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id: 295080
{'charpoly_factorization': [[[1, 7, 19, 3, 1], 2]], 'hecke_orbit_code': 9007542885679203, 'p': 13}
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id: 295081
{'charpoly_factorization': [[[1771561, 0, 51909, 0, 1336, 0, 34, 0, 1], 1]], 'hecke_orbit_code': 9007542885679203, 'p': 17}
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id: 295082
{'charpoly_factorization': [[[121, -11, 16, -6, 1], 2]], 'hecke_orbit_code': 9007542885679203, 'p': 19}
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id: 295083
{'charpoly_factorization': [[[891, 0, -72, 0, 1], 2]], 'hecke_orbit_code': 9007542885679203, 'p': 23}
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id: 295084
{'charpoly_factorization': [[[30976, 0, -4224, 0, 2176, 0, 76, 0, 1], 1]], 'hecke_orbit_code': 9007542885679203, 'p': 29}
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id: 295085
{'charpoly_factorization': [[[121, -11, 16, -6, 1], 2]], 'hecke_orbit_code': 9007542885679203, 'p': 31}
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id: 295086
{'charpoly_factorization': [[[121, -11, 31, 9, 1], 2]], 'hecke_orbit_code': 9007542885679203, 'p': 37}
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id: 295087
{'charpoly_factorization': [[[75625, 0, 12375, 0, 775, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 9007542885679203, 'p': 41}
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id: 295088
{'charpoly_factorization': [[[-29, 8, 1], 4]], 'hecke_orbit_code': 9007542885679203, 'p': 43}
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id: 295089
{'charpoly_factorization': [[[121, 0, -66, 0, 136, 0, 19, 0, 1], 1]], 'hecke_orbit_code': 9007542885679203, 'p': 47}
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id: 295090
{'charpoly_factorization': [[[75625, 0, -12375, 0, 6400, 0, 130, 0, 1], 1]], 'hecke_orbit_code': 9007542885679203, 'p': 53}
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id: 295091
{'charpoly_factorization': [[[15768841, 0, 321651, 0, 4216, 0, 46, 0, 1], 1]], 'hecke_orbit_code': 9007542885679203, 'p': 59}
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id: 295092
{'charpoly_factorization': [[[2401, -686, 196, -21, 1], 2]], 'hecke_orbit_code': 9007542885679203, 'p': 61}
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id: 295093
{'charpoly_factorization': [[[-11, -1, 1], 4]], 'hecke_orbit_code': 9007542885679203, 'p': 67}
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id: 295094
{'charpoly_factorization': [[[47265625, 0, 1031250, 0, 10000, 0, 25, 0, 1], 1]], 'hecke_orbit_code': 9007542885679203, 'p': 71}
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id: 295095
{'charpoly_factorization': [[[256, -128, 64, -12, 1], 2]], 'hecke_orbit_code': 9007542885679203, 'p': 73}
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id: 295096
{'charpoly_factorization': [[[25, 25, 85, -15, 1], 2]], 'hecke_orbit_code': 9007542885679203, 'p': 79}
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id: 295097
{'charpoly_factorization': [[[1771561, 0, 131769, 0, 3751, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 9007542885679203, 'p': 83}
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id: 295098
{'charpoly_factorization': [[[22275, 0, -360, 0, 1], 2]], 'hecke_orbit_code': 9007542885679203, 'p': 89}
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id: 295099
{'charpoly_factorization': [[[22801, 4228, 454, 27, 1], 2]], 'hecke_orbit_code': 9007542885679203, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 3, 'label': '99.2.f.c', 'level': 99, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30652957
{'hecke_orbit_code': 9007542885679203, 'n': 1, 'trace_an': 8}
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id: 30652958
{'hecke_orbit_code': 9007542885679203, 'n': 2, 'trace_an': 0}
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id: 30652959
{'hecke_orbit_code': 9007542885679203, 'n': 3, 'trace_an': 0}
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id: 30652960
{'hecke_orbit_code': 9007542885679203, 'n': 4, 'trace_an': 2}
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id: 30652961
{'hecke_orbit_code': 9007542885679203, 'n': 5, 'trace_an': 0}
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id: 30652962
{'hecke_orbit_code': 9007542885679203, 'n': 6, 'trace_an': 0}
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id: 30652963
{'hecke_orbit_code': 9007542885679203, 'n': 7, 'trace_an': -6}
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id: 30652964
{'hecke_orbit_code': 9007542885679203, 'n': 8, 'trace_an': 0}
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id: 30652965
{'hecke_orbit_code': 9007542885679203, 'n': 9, 'trace_an': 0}
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id: 30652966
{'hecke_orbit_code': 9007542885679203, 'n': 10, 'trace_an': -28}
-
id: 30652967
{'hecke_orbit_code': 9007542885679203, 'n': 11, 'trace_an': 0}
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id: 30652968
{'hecke_orbit_code': 9007542885679203, 'n': 12, 'trace_an': 0}
-
id: 30652969
{'hecke_orbit_code': 9007542885679203, 'n': 13, 'trace_an': -6}
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