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av_fq_isog • Show schema
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{'abvar_count': 243, 'abvar_counts': [243, 22599, 2601072, 227278143, 28602678528, 3869427537216, 477191791255527, 59849284535678511, 7436445313202772336, 931605418704864006144], 'abvar_counts_str': '243 22599 2601072 227278143 28602678528 3869427537216 477191791255527 59849284535678511 7436445313202772336 931605418704864006144 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.376847748143729, 0.469230501932483, 0.872660818877528], 'center_dim': 6, 'cohen_macaulay_max': 1, 'curve_count': 8, 'curve_counts': [8, 36, 161, 580, 2923, 15849, 78184, 392228, 1949417, 9768591], 'curve_counts_str': '8 36 161 580 2923 15849 78184 392228 1949417 9768591 ', 'curves': ['4*x^3*y+4*x^3*z+x^2*y^2+2*x^2*y*z+x^2*z^2+x*z^3+y^3*z=0', '4*x^3*y+4*x^3*z+x^2*y^2+3*x^2*y*z+x^2*z^2+x*y*z^2+x*z^3+y^3*z=0', 'x^4+2*x^3*z+3*x^2*y^2+3*x^2*y*z+x^2*z^2+x*y*z^2+x*z^3+y^3*z=0', '3*x^4+4*x^3*y+x^3*z+3*x^2*y^2+2*x^2*y*z+3*x^2*z^2+x*z^3+y^4+y^2*z^2=0', 'x^3*y+x^3*z+2*x^2*y^2+2*x^2*y*z+4*x^2*z^2+x*z^3+y^4+y^2*z^2=0'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.1249779231.1'], 'geometric_splitting_field': '6.0.1249779231.1', 'geometric_splitting_polynomials': [[125, -50, 35, -23, 7, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 5, 'label': '3.5.c_h_x', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['6.0.1249779231.1'], 'p': 5, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, 2, 7, 23, 35, 50, 125], 'poly_str': '1 2 7 23 35 50 125 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 2, -8, 3], 'simple_distinct': ['3.5.c_h_x'], 'simple_factors': ['3.5.c_h_xA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.1249779231.1', 'splitting_polynomials': [[125, -50, 35, -23, 7, -2, 1]], 'twist_count': 2, 'twists': [['3.5.ac_h_ax', '3.25.k_bb_l', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1031, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '3.5.c_h_x', 'extension_degree': 1, 'extension_label': '3.5.c_h_x', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '6.0.1249779231.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.5.c_h_x', 'galois_group': '6T11', 'places': [['2', '0', '13/5', '23/5', '2/5', '24/5'], ['0', '2', '3/5', '3/5', '2/5', '24/5']]}
