-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 144, 'abvar_counts': [144, 13824, 1890000, 218087424, 25873611984, 3139093440000, 379408962562704, 45952733531602944, 5559862766612490000, 672760726676557161984], 'abvar_counts_str': '144 13824 1890000 218087424 25873611984 3139093440000 379408962562704 45952733531602944 5559862766612490000 672760726676557161984 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.293962833699645, 0.859781100996228], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 14, 'curve_counts': [14, 114, 1418, 14894, 160654, 1771938, 19469674, 214372894, 2357924558, 25937838354], 'curve_counts_str': '14 114 1418 14894 160654 1771938 19469674 214372894 2357924558 25937838354 ', 'curves': ['y^2=7*x^6+3*x^5+4*x^4+8*x^3+10*x^2+4*x+6', 'y^2=9*x^5+3*x^4+4*x^3+6*x^2+9*x+2', 'y^2=5*x^5+x^4+x^3+x^2+7*x+8', 'y^2=6*x^6+10*x^5+x^4+8*x^3+9*x^2+5*x+6', 'y^2=4*x^6+9*x^5+10*x^3+3*x^2+6', 'y^2=9*x^5+6*x^4+10*x^3+4*x+4', 'y^2=8*x^6+3*x^5+4*x^4+x^3+6*x^2+3*x+6', 'y^2=10*x^6+x^5+8*x^4+3*x^3+10*x^2+7*x+3', 'y^2=4*x^6+2*x^5+2*x^4+6*x^3+10*x+9', 'y^2=6*x^6+7*x^5+x^4+10*x^3+2*x^2+5*x+5', 'y^2=3*x^5+7*x^4+7*x^3+8*x^2+x', 'y^2=7*x^6+4*x^5+x^4+10*x^3+5*x^2+9*x+6', 'y^2=3*x^6+6*x^5+6*x^4+2*x^3+6*x^2+6*x+3', 'y^2=10*x^5+7*x^4+2*x^3+4*x^2+4*x+8'], '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': 12, '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': ['2.0.7.1', '2.0.8.1'], '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': 14, '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': 14, 'label': '2.11.c_ac', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.7.1', '2.0.8.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 2, -2, 22, 121], 'poly_str': '1 2 -2 22 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, 2, -24], 'simple_distinct': ['1.11.ae', '1.11.g'], 'simple_factors': ['1.11.aeA', '1.11.gA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,V+3', '5,7*F-8*V+7'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3136.2', 'splitting_polynomials': [[2, -8, 9, -2, 1]], 'twist_count': 4, 'twists': [['2.11.ak_bu', '2.121.ai_gc', 2], ['2.11.ac_ac', '2.121.ai_gc', 2], ['2.11.k_bu', '2.121.ai_gc', 2]], 'weak_equivalence_count': 14, 'zfv_index': 200, 'zfv_index_factorization': [[2, 3], [5, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 224, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,V+3', '5,7*F-8*V+7']}
-
av_fq_endalg_factors • Show schema
Hide schema
-
id: 8749
{'base_label': '2.11.c_ac', 'extension_degree': 1, 'extension_label': '1.11.ae', 'multiplicity': 1}
-
id: 8750
{'base_label': '2.11.c_ac', 'extension_degree': 1, 'extension_label': '1.11.g', 'multiplicity': 1}
-
av_fq_endalg_data • Show schema
Hide schema
{'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']]}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.g', 'galois_group': '2T1', 'places': [['3', '1'], ['8', '1']]}
