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av_fq_isog • Show schema
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{'abvar_count': 578, 'abvar_counts': [578, 389572, 244120034, 152587560960, 95367428686658, 59604644839641412, 37252902989549408354, 23283064365583459000320, 14551915228373202202575938, 9094947017729464388086726852], 'abvar_counts_str': '578 389572 244120034 152587560960 95367428686658 59604644839641412 37252902989549408354 23283064365583459000320 14551915228373202202575938 9094947017729464388086726852 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.0903344706017331], 'center_dim': 2, 'curve_count': 578, 'curve_counts': [578, 389572, 244120034, 152587560960, 95367428686658, 59604644839641412, 37252902989549408354, 23283064365583459000320, 14551915228373202202575938, 9094947017729464388086726852], 'curve_counts_str': '578 389572 244120034 152587560960 95367428686658 59604644839641412 37252902989549408354 23283064365583459000320 14551915228373202202575938 9094947017729464388086726852 ', 'curves': ['y^2=x^3+a^531*x+a^532', 'y^2=x^3+a^607*x+a^608', 'y^2=x^3+a^151*x+a^152', 'y^2=x^3+a^3*x', 'y^2=x^3+a^123*x+a^124'], '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': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 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': 5, 'label': '1.625.abw', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.4.1'], 'p': 5, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, -48, 625], 'poly_str': '1 -48 625 ', 'primitive_models': [], 'principal_polarization_count': 5, 'q': 625, 'real_poly': [1, -48], 'simple_distinct': ['1.625.abw'], 'simple_factors': ['1.625.abwA'], 'simple_multiplicities': [1], 'size': 5, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 4, 'twists': [['1.625.bw', '1.390625.aboo', 2], ['1.625.ao', '1.152587890625.astrm', 4], ['1.625.o', '1.152587890625.astrm', 4]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.625.abw', 'extension_degree': 1, 'extension_label': '1.625.abw', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.625.abw', 'galois_group': '2T1', 'places': [['3', '1'], ['2', '1']]}