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av_fq_isog • Show schema
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{'abvar_count': 632, 'abvar_counts': [632, 391840, 244129592, 152587198080, 95367442692152, 59604645141922720, 37252902975512744312, 23283064365212518709760, 14551915228373589969422072, 9094947017729350977786743200], 'abvar_counts_str': '632 391840 244129592 152587198080 95367442692152 59604645141922720 37252902975512744312 23283064365212518709760 14551915228373589969422072 9094947017729350977786743200 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.538289458774147], 'center_dim': 2, 'curve_count': 632, 'curve_counts': [632, 391840, 244129592, 152587198080, 95367442692152, 59604645141922720, 37252902975512744312, 23283064365212518709760, 14551915228373589969422072, 9094947017729350977786743200], 'curve_counts_str': '632 391840 244129592 152587198080 95367442692152 59604645141922720 37252902975512744312 23283064365212518709760 14551915228373589969422072 9094947017729350977786743200 ', 'curves': ['y^2=x^3+a^358*x+a^358', 'y^2=x^3+a^478*x+a^479', 'y^2=x^3+a^82*x+a^83', 'y^2=x^3+a^622*x+a^623', 'y^2=x^3+a^214*x+a^214', 'y^2=x^3+a^130*x+a^131', 'y^2=x^3+a^14*x+a^15', 'y^2=x^3+a^46*x+a^47', 'y^2=x^3+a^126*x+a^127', 'y^2=x^3+a^542*x+a^542', 'y^2=x^3+a^302*x+a^303', 'y^2=x^3+a^254*x+a^255', 'y^2=x^3+a^510*x+a^511', 'y^2=x^3+a^414*x+a^414', 'y^2=x^3+a^62*x+a^63', 'y^2=x^3+a^582*x+a^582', 'y^2=x^3+a^198*x+a^198', 'y^2=x^3+a^446*x+a^446', 'y^2=x^3+a^222*x+a^223', 'y^2=x^3+a^526*x+a^527', 'y^2=x^3+a^606*x+a^607', 'y^2=x^3+a^366*x+a^366', 'y^2=x^3+a^402*x+a^403', 'y^2=x^3+a^18*x+a^19'], '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': ['2.0.616.1'], 'geometric_splitting_field': '2.0.616.1', 'geometric_splitting_polynomials': [[154, 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': 24, 'label': '1.625.g', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.616.1'], 'p': 5, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, 6, 625], 'poly_str': '1 6 625 ', 'primitive_models': [], 'principal_polarization_count': 24, 'q': 625, 'real_poly': [1, 6], 'simple_distinct': ['1.625.g'], 'simple_factors': ['1.625.gA'], 'simple_multiplicities': [1], 'size': 24, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.616.1', 'splitting_polynomials': [[154, 0, 1]], 'twist_count': 2, 'twists': [['1.625.ag', '1.390625.bus', 2]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.625.g', 'extension_degree': 1, 'extension_label': '1.625.g', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.616.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.625.g', 'galois_group': '2T1', 'places': [['4', '1'], ['1', '1']]}