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av_fq_isog • Show schema
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{'abvar_count': 5, 'abvar_counts': [5, 85, 8765, 37825, 2524525, 26969905, 369002345, 4033695825, 74507522345, 1116741305425], 'abvar_counts_str': '5 85 8765 37825 2524525 26969905 369002345 4033695825 74507522345 1116741305425 ', 'angle_rank': 3, 'angles': [0.13358218482384, 0.190415260312362, 0.513309389919772, 0.95647631443125], 'center_dim': 8, 'curve_count': 1, 'curve_counts': [1, 1, 13, 9, 61, 97, 169, 241, 553, 1041], 'curve_counts_str': '1 1 13 9 61 97 169 241 553 1041 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 1, 'dim4_factors': 1, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 4, 'galois_groups': ['8T24'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 1, 'geom_dim4_factors': 1, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 8, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['8T24'], 'geometric_number_fields': ['8.0.214798336.3'], 'geometric_splitting_field': '6.0.839056.1', 'geometric_splitting_polynomials': [[1, 0, 8, 0, 6, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': 0, 'hyp_count': 0, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 0, 'label': '4.2.ac_a_e_ag', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'number_fields': ['8.0.214798336.3'], 'p': 2, 'p_rank': 0, 'p_rank_deficit': 4, 'pic_prime_gens': [], 'poly': [1, -2, 0, 4, -6, 8, 0, -16, 16], 'poly_str': '1 -2 0 4 -6 8 0 -16 16 ', 'primitive_models': [], 'principal_polarization_count': 0, 'q': 2, 'real_poly': [1, -2, -8, 16, 2], 'simple_distinct': ['4.2.ac_a_e_ag'], 'simple_factors': ['4.2.ac_a_e_agA'], 'simple_multiplicities': [1], 'size': 2, 'slopes': ['1/4A', '1/4B', '1/4C', '1/4D', '3/4A', '3/4B', '3/4C', '3/4D'], 'splitting_field': '6.0.839056.1', 'splitting_polynomials': [[1, 0, 8, 0, 6, 0, 1]], 'twist_count': 4, 'twists': [['4.2.c_a_ae_ag', '4.4.ae_e_q_aci', 2], ['4.2.ac_e_ai_k', '4.16.ai_y_ads_ui', 4], ['4.2.c_e_i_k', '4.16.ai_y_ads_ui', 4]], 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4}
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av_fq_endalg_factors • Show schema
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{'base_label': '4.2.ac_a_e_ag', 'extension_degree': 1, 'extension_label': '4.2.ac_a_e_ag', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '8.0.214798336.3', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.2.ac_a_e_ag', 'galois_group': '8T24', 'places': [['1', '1', '0', '0', '0', '0', '0', '0'], ['0', '0', '1/4', '7/8', '5/4', '1/2', '1', '11/8']]}