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av_fq_isog • Show schema
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{'abvar_count': 418, 'abvar_counts': [418, 186428, 80078350, 34507077088, 14872573643378, 6410082452123900, 2762745571737460958, 1190743340522756473728, 513210379737732933323650, 221193673666963057211212028], 'abvar_counts_str': '418 186428 80078350 34507077088 14872573643378 6410082452123900 2762745571737460958 1190743340522756473728 513210379737732933323650 221193673666963057211212028 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.390527534454816], 'center_dim': 2, 'curve_count': 418, 'curve_counts': [418, 186428, 80078350, 34507077088, 14872573643378, 6410082452123900, 2762745571737460958, 1190743340522756473728, 513210379737732933323650, 221193673666963057211212028], 'curve_counts_str': '418 186428 80078350 34507077088 14872573643378 6410082452123900 2762745571737460958 1190743340522756473728 513210379737732933323650 221193673666963057211212028 ', 'curves': ['y^2=x^3+77*x+108', 'y^2=x^3+131*x+131', 'y^2=x^3+428*x+428', 'y^2=x^3+146*x+146', 'y^2=x^3+355*x+330', 'y^2=x^3+236*x+236', 'y^2=x^3+398*x+200', 'y^2=x^3+260*x+260'], 'dim1_distinct': 1, 'dim1_factors': 1, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 1, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.1528.1'], 'geometric_splitting_field': '2.0.1528.1', 'geometric_splitting_polynomials': [[382, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '1.431.ao', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.1528.1'], 'p': 431, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, -14, 431], 'poly_str': '1 -14 431 ', 'primitive_models': [], 'principal_polarization_count': 8, 'q': 431, 'real_poly': [1, -14], 'simple_distinct': ['1.431.ao'], 'simple_factors': ['1.431.aoA'], 'simple_multiplicities': [1], 'size': 8, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.1528.1', 'splitting_polynomials': [[382, 0, 1]], 'twist_count': 2, 'twists': [['1.431.o', '1.185761.zq', 2]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.431.ao', 'extension_degree': 1, 'extension_label': '1.431.ao', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.1528.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.431.ao', 'galois_group': '2T1', 'places': [['424', '1'], ['7', '1']]}