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av_fq_isog • Show schema
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{'abvar_count': 583, 'abvar_counts': [583, 390027, 244141744, 152588313075, 95367449107183, 59604645262421952, 37252902994644889519, 23283064365513675514275, 14551915228366034356399408, 9094947017729168033400237627], 'abvar_counts_str': '583 390027 244141744 152588313075 95367449107183 59604645262421952 37252902994644889519 23283064365513675514275 14551915228366034356399408 9094947017729168033400237627 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.170463428383199], 'center_dim': 2, 'curve_count': 583, 'curve_counts': [583, 390027, 244141744, 152588313075, 95367449107183, 59604645262421952, 37252902994644889519, 23283064365513675514275, 14551915228366034356399408, 9094947017729168033400237627], 'curve_counts_str': '583 390027 244141744 152588313075 95367449107183 59604645262421952 37252902994644889519 23283064365513675514275 14551915228366034356399408 9094947017729168033400237627 ', 'curves': ['y^2=x^3+a^211*x+a^212', 'y^2=x^3+a^423*x+a^424', 'y^2=x^3+a^235*x+a^236', 'y^2=x^3+a^463*x+a^463', 'y^2=x^3+a^543*x+a^544', 'y^2=x^3+a^467*x+a^467', 'y^2=x^3+a^343*x+a^343', 'y^2=x^3+a^443*x+a^443'], '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': ['2.0.651.1'], 'geometric_splitting_field': '2.0.651.1', 'geometric_splitting_polynomials': [[163, -1, 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': '1.625.abr', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.651.1'], 'p': 5, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, -43, 625], 'poly_str': '1 -43 625 ', 'primitive_models': [], 'principal_polarization_count': 8, 'q': 625, 'real_poly': [1, -43], 'simple_distinct': ['1.625.abr'], 'simple_factors': ['1.625.abrA'], 'simple_multiplicities': [1], 'size': 8, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.651.1', 'splitting_polynomials': [[163, -1, 1]], 'twist_count': 2, 'twists': [['1.625.br', '1.390625.axb', 2]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.625.abr', 'extension_degree': 1, 'extension_label': '1.625.abr', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.651.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.625.abr', 'galois_group': '2T1', 'places': [['3', '1'], ['1', '1']]}