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av_fq_isog • Show schema
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{'abvar_count': 100, 'abvar_counts': [100, 6000, 588100, 43872000, 3479930500, 282323286000, 22838257915300, 1853356144128000, 150087439369257700, 12158411900292150000], 'abvar_counts_str': '100 6000 588100 43872000 3479930500 282323286000 22838257915300 1853356144128000 150087439369257700 12158411900292150000 ', 'angle_rank': 2, 'angles': [0.296321154275056, 0.880565730134975], 'center_dim': 4, 'curve_count': 12, 'curve_counts': [12, 74, 804, 6686, 58932, 531242, 4774908, 43054526, 387401916, 3486998474], 'curve_counts_str': '12 74 804 6686 58932 531242 4774908 43054526 387401916 3486998474 ', 'curves': ['y^2=(a+1)*x^6+(a+1)*x^5+2*a*x^4+(2*a+1)*x^3+2*x^2+2*a*x', 'y^2=2*x^6+a*x^5+2*a*x^3+x^2+(2*a+1)*x', 'y^2=(a+2)*x^6+(a+2)*x^5+(a+1)*x^4+x^3+(2*a+1)*x^2+(a+2)*x', 'y^2=a*x^6+(2*a+2)*x^5+2*a*x^3+(a+2)*x^2+(2*a+2)*x+a', 'y^2=(a+1)*x^6+(a+2)*x^5+(a+2)*x^3+x^2+2*a*x+1', 'y^2=(a+1)*x^5+(a+1)*x^4+2*x^3+x+2', 'y^2=(2*a+1)*x^6+2*a*x^5+a*x^4+(2*a+1)*x^3+x^2+(a+1)*x+a+1', 'y^2=(a+1)*x^6+x^5+2*x^4+(2*a+2)*x^3+(a+2)*x^2+a*x+a+1', 'y^2=(a+1)*x^6+2*a*x^5+(2*a+2)*x^4+x^3+(2*a+2)*x^2+(2*a+2)*x+1', 'y^2=a*x^6+2*a*x^5+2*x^3+a*x^2+a*x+2*a', 'y^2=(2*a+2)*x^6+(a+1)*x^5+a*x^4+a*x^3+(a+1)*x^2+(2*a+1)*x+2*a', 'y^2=(a+2)*x^6+(a+1)*x^5+(2*a+2)*x^4+(a+1)*x^3+(a+2)*x^2+(2*a+2)*x+a+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, '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': ['4.0.49392.1'], 'geometric_splitting_field': '4.0.49392.1', 'geometric_splitting_polynomials': [[7, 0, 7, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 12, 'label': '2.9.c_ac', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.49392.1'], 'p': 3, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 4], [1, 5, 1, 4]], 'poly': [1, 2, -2, 18, 81], 'poly_str': '1 2 -2 18 81 ', 'primitive_models': [], 'principal_polarization_count': 12, 'q': 9, 'real_poly': [1, 2, -20], 'simple_distinct': ['2.9.c_ac'], 'simple_factors': ['2.9.c_acA'], 'simple_multiplicities': [1], 'size': 16, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.49392.1', 'splitting_polynomials': [[7, 0, 7, 0, 1]], 'twist_count': 2, 'twists': [['2.9.ac_ac', '2.81.ai_dq', 2]], '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': 112}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.9.c_ac', 'extension_degree': 1, 'extension_label': '2.9.c_ac', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.49392.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.9.c_ac', 'galois_group': '4T3', 'places': [['2', '1', '0', '0'], ['1', '1', '0', '0']]}
