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av_fq_isog • Show schema
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{'abvar_count': 51, 'abvar_counts': [51, 7701, 551259, 42886869, 3510481776, 283765531581, 22885818795051, 1852229019804549, 150076340564816619, 12157647140529874176], 'abvar_counts_str': '51 7701 551259 42886869 3510481776 283765531581 22885818795051 1852229019804549 150076340564816619 12157647140529874176 ', 'angle_rank': 2, 'angles': [0.205601850040011, 0.488925242199473], 'center_dim': 4, 'curve_count': 5, 'curve_counts': [5, 95, 755, 6539, 59450, 533951, 4784855, 43028339, 387373265, 3486779150], 'curve_counts_str': '5 95 755 6539 59450 533951 4784855 43028339 387373265 3486779150 ', 'curves': ['y^2=(2*a+1)*x^6+(a+1)*x^5+x^3+(2*a+1)*x^2+2*x+2*a', 'y^2=(2*a+1)*x^6+2*a*x^5+(2*a+2)*x^4+x^3+x^2+2*a+2', 'y^2=(a+1)*x^6+2*x^4+2*x^3+(a+1)*x^2+2*x+a', 'y^2=a*x^6+(2*a+2)*x^5+(a+2)*x^4+x^3+2*x+a'], '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': ['4.0.206829.1'], 'geometric_splitting_field': '4.0.206829.1', 'geometric_splitting_polynomials': [[51, -18, 10, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 4, 'label': '2.9.af_t', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.206829.1'], 'p': 3, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 4]], 'poly': [1, -5, 19, -45, 81], 'poly_str': '1 -5 19 -45 81 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 9, 'real_poly': [1, -5, 1], 'simple_distinct': ['2.9.af_t'], 'simple_factors': ['2.9.af_tA'], 'simple_multiplicities': [1], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.206829.1', 'splitting_polynomials': [[51, -18, 10, -1, 1]], 'twist_count': 2, 'twists': [['2.9.f_t', '2.81.n_cv', 2]], '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': 469}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.9.af_t', 'extension_degree': 1, 'extension_label': '2.9.af_t', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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id: 6820
{'brauer_invariants': ['0', '0'], 'center': '4.0.206829.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.9.af_t', 'galois_group': '4T3', 'places': [['0', '1', '0', '0'], ['8/3', '1/3', '22/9', '25/9']]}
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id: 1262807
{'brauer_invariants': ['0', '0'], 'center': '4.0.206829.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.9.af_t', 'galois_group': '4T3', 'places': [['0', '1', '0', '0'], ['7/3', '5/3', '2/9', '26/9']]}
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id: 2207724
{'brauer_invariants': ['0', '0'], 'center': '4.0.206829.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.9.af_t', 'galois_group': '4T3', 'places': [['0', '1', '0', '0'], ['5/3', '1/3', '7/9', '1/9']]}
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id: 2561066
{'brauer_invariants': ['0', '0'], 'center': '4.0.206829.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.9.af_t', 'galois_group': '4T3', 'places': [['0', '1', '0', '0'], ['4/3', '2/3', '5/9', '2/9']]}
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id: 2561173
{'brauer_invariants': ['0', '0'], 'center': '4.0.206829.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.9.af_t', 'galois_group': '4T3', 'places': [['0', '1', '0', '0'], ['2/3', '4/3', '25/9', '1/9']]}
