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av_fq_isog • Show schema
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{'abvar_count': 28, 'abvar_counts': [28, 224, 6076, 65408, 1011388, 16380896, 265753852, 4345445888, 68725982332, 1101692811744], 'abvar_counts_str': '28 224 6076 65408 1011388 16380896 265753852 4345445888 68725982332 1101692811744 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.348885720110212, 0.906432687576118], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 7, 'curve_counts': [7, 15, 91, 255, 987, 3999, 16219, 66303, 262171, 1050655], 'curve_counts_str': '7 15 91 255 987 3999 16219 66303 262171 1050655 ', 'curves': ['y^2+(x^2+x)*y=x^5+(a+1)*x^4+a*x', 'y^2+(x^2+x+a+1)*y=x^5+(a+1)*x^3+x+1', 'y^2+(x^2+x+a)*y=x^5+a*x^3+x+1'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 4, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.1088.2'], 'geometric_splitting_field': '4.0.1088.2', 'geometric_splitting_polynomials': [[2, -4, 5, -2, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': False, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 3, 'label': '2.4.c_b', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.1088.2'], 'p': 2, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 2, 1, 8, 16], 'poly_str': '1 2 1 8 16 ', 'primitive_models': ['2.2.ac_d', '2.2.c_d'], 'q': 4, 'real_poly': [1, 2, -7], 'simple_distinct': ['2.4.c_b'], 'simple_factors': ['2.4.c_bA'], 'simple_multiplicities': [1], 'singular_primes': ['2,2*F+V-1', '2,-F^2-F-V+4'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1088.2', 'splitting_polynomials': [[2, -4, 5, -2, 1]], 'twist_count': 2, 'twists': [['2.4.ac_b', '2.16.ac_b', 2]], 'weak_equivalence_count': 4, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 17, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,2*F+V-1', '2,-F^2-F-V+4']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.4.c_b', 'extension_degree': 1, 'extension_label': '2.4.c_b', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.1088.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.4.c_b', 'galois_group': '4T3', 'places': [['0', '1', '0', '0'], ['1', '1', '0', '0']]}
