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av_fq_isog • Show schema
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{'abvar_count': 170, 'abvar_counts': [170, 28220, 4656470, 777743200, 129892257850, 21691969923260, 3622557524475430, 604967115694780800, 101029508545415998730, 16871927925114763423100], 'abvar_counts_str': '170 28220 4656470 777743200 129892257850 21691969923260 3622557524475430 604967115694780800 101029508545415998730 16871927925114763423100 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.5246562073782], 'center_dim': 2, 'curve_count': 170, 'curve_counts': [170, 28220, 4656470, 777743200, 129892257850, 21691969923260, 3622557524475430, 604967115694780800, 101029508545415998730, 16871927925114763423100], 'curve_counts_str': '170 28220 4656470 777743200 129892257850 21691969923260 3622557524475430 604967115694780800 101029508545415998730 16871927925114763423100 ', 'curves': ['y^2=x^3+134*x+134', 'y^2=x^3+128*x+128', 'y^2=x^3+69*x+11', 'y^2=x^3+6*x+30', 'y^2=x^3+127*x+134', 'y^2=x^3+20*x+20', 'y^2=x^3+3*x+15', 'y^2=x^3+147*x+67', 'y^2=x^3+84*x+86', 'y^2=x^3+71*x+71'], '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': ['2.0.664.1'], 'geometric_splitting_field': '2.0.664.1', 'geometric_splitting_polynomials': [[166, 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': 10, 'label': '1.167.c', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.664.1'], 'p': 167, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, 2, 167], 'poly_str': '1 2 167 ', 'primitive_models': [], 'principal_polarization_count': 10, 'q': 167, 'real_poly': [1, 2], 'simple_distinct': ['1.167.c'], 'simple_factors': ['1.167.cA'], 'simple_multiplicities': [1], 'size': 10, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.664.1', 'splitting_polynomials': [[166, 0, 1]], 'twist_count': 2, 'twists': [['1.167.ac', '1.27889.ms', 2]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.167.c', 'extension_degree': 1, 'extension_label': '1.167.c', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.664.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.167.c', 'galois_group': '2T1', 'places': [['1', '1'], ['166', '1']]}