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av_fq_isog • Show schema
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{'abvar_count': 4, 'abvar_counts': [4, 64, 676, 6400, 58564, 529984, 4778596, 43033600, 387381124, 3486666304], 'abvar_counts_str': '4 64 676 6400 58564 529984 4778596 43033600 387381124 3486666304 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 0, 'angles': [0.0, 0.0], 'center_dim': 1, 'curve_count': 4, 'curve_counts': [4, 64, 676, 6400, 58564, 529984, 4778596, 43033600, 387381124, 3486666304], 'curve_counts_str': '4 64 676 6400 58564 529984 4778596 43033600 387381124 3486666304 ', 'curves': ['y^2=x^3+(a+1)*x'], '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': ['1T1'], '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': 1, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'has_geom_ss_factor': True, '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': True, 'jacobian_count': 1, 'label': '1.9.ag', 'max_divalg_dim': 4, 'max_geom_divalg_dim': 4, 'max_twist_degree': 6, 'newton_coelevation': 0, 'newton_elevation': 1, 'number_fields': ['1.1.1.1'], 'p': 3, 'p_rank': 0, 'p_rank_deficit': 1, 'poly': [1, -6, 9], 'poly_str': '1 -6 9 ', 'primitive_models': [], 'principal_polarization_count': 1, 'q': 9, 'real_poly': [1, -6], 'simple_distinct': ['1.9.ag'], 'simple_factors': ['1.9.agA'], 'simple_multiplicities': [1], 'size': 1, 'slopes': ['1/2A', '1/2B'], 'splitting_field': '1.1.1.1', 'splitting_polynomials': [[0, 1]], 'twist_count': 5, 'twists': [['1.9.g', '1.81.as', 2], ['1.9.d', '1.729.acc', 3], ['1.9.a', '1.6561.agg', 4], ['1.9.ad', '1.531441.acec', 6]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.9.ag', 'extension_degree': 1, 'extension_label': '1.9.ag', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.9.ag', 'galois_group': '1T1', 'places': [['0']]}
