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av_fq_isog • Show schema
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{'abvar_count': 48, 'abvar_counts': [48, 13824, 1839600, 218087424, 26026361328, 3139093440000, 379752329349168, 45952733531602944, 5560174219442900400, 672760726676557161984], 'abvar_counts_str': '48 13824 1839600 218087424 26026361328 3139093440000 379752329349168 45952733531602944 5560174219442900400 672760726676557161984 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.140218899003772, 0.293962833699645], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 2, 'curve_counts': [2, 114, 1382, 14894, 161602, 1771938, 19487302, 214372894, 2358056642, 25937838354], 'curve_counts_str': '2 114 1382 14894 161602 1771938 19487302 214372894 2358056642 25937838354 ', 'curves': ['y^2=2*x^6+2*x^4+10*x^3+2*x^2+2', 'y^2=9*x^5+5*x^4+x^3+5*x^2+9*x'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 6, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.8.1', '2.0.7.1'], 'geometric_splitting_field': '4.0.3136.2', 'geometric_splitting_polynomials': [[2, -8, 9, -2, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.11.ak_bu', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.8.1', '2.0.7.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2]], 'poly': [1, -10, 46, -110, 121], 'poly_str': '1 -10 46 -110 121 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 11, 'real_poly': [1, -10, 24], 'simple_distinct': ['1.11.ag', '1.11.ae'], 'simple_factors': ['1.11.agA', '1.11.aeA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-2*F+V-9'], 'size': 8, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3136.2', 'splitting_polynomials': [[2, -8, 9, -2, 1]], 'twist_count': 4, 'twists': [['2.11.ac_ac', '2.121.ai_gc', 2], ['2.11.c_ac', '2.121.ai_gc', 2], ['2.11.k_bu', '2.121.ai_gc', 2]], 'weak_equivalence_count': 7, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 2, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 224, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-2*F+V-9']}
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av_fq_endalg_factors • Show schema
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id: 8922
{'base_label': '2.11.ak_bu', 'extension_degree': 1, 'extension_label': '1.11.ag', 'multiplicity': 1}
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id: 8923
{'base_label': '2.11.ak_bu', 'extension_degree': 1, 'extension_label': '1.11.ae', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.ag', 'galois_group': '2T1', 'places': [['8', '1'], ['3', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.ae', 'galois_group': '2T1', 'places': [['4', '1'], ['6', '1']]}