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av_fq_isog • Show schema
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{'abvar_count': 528, 'abvar_counts': [528, 88704, 23029776, 7045226496, 2015213207568, 582428009471616, 168393457533042192, 48660773969287839744, 14063074605546885659664, 4064231720210425246353024], 'abvar_counts_str': '528 88704 23029776 7045226496 2015213207568 582428009471616 168393457533042192 48660773969287839744 14063074605546885659664 4064231720210425246353024 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.661206336803342, 0.759367463009539], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 28, 'curve_counts': [28, 306, 4684, 84350, 1419308, 24129522, 410376764, 6975697534, 118587793468, 2015994055986], 'curve_counts_str': '28 306 4684 84350 1419308 24129522 410376764 6975697534 118587793468 2015994055986 ', 'curves': ['y^2=13*x^6+7*x^5+4*x^4+16*x^2+10*x+16', 'y^2=4*x^6+14*x^5+x^4+x^3+x^2+14*x+4', 'y^2=8*x^6+10*x^5+11*x^4+3*x^3+11*x^2+10*x+8', 'y^2=15*x^6+10*x^4+12*x^3+10*x^2+15', 'y^2=15*x^6+13*x^5+9*x^4+8*x^3+4*x^2+16*x+13', 'y^2=2*x^6+8*x^5+2*x^4+5*x^3+x^2+2*x+13', 'y^2=6*x^6+9*x^5+16*x^4+14*x^3+x^2+9*x+11', 'y^2=6*x^5+4*x^4+11*x^3+4*x^2+6*x'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 5, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.52.1', '2.0.8.1'], 'geometric_splitting_field': '4.0.43264.1', 'geometric_splitting_polynomials': [[49, 0, -12, 0, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.17.k_cg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.52.1', '2.0.8.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 3, 1, 4], [1, 7, 1, 4]], 'poly': [1, 10, 58, 170, 289], 'poly_str': '1 10 58 170 289 ', 'primitive_models': [], 'principal_polarization_count': 14, 'q': 17, 'real_poly': [1, 10, 24], 'simple_distinct': ['1.17.e', '1.17.g'], 'simple_factors': ['1.17.eA', '1.17.gA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,7*F+5'], 'size': 24, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.43264.1', 'splitting_polynomials': [[49, 0, -12, 0, 1]], 'twist_count': 4, 'twists': [['2.17.ak_cg', '2.289.q_uw', 2], ['2.17.ac_k', '2.289.q_uw', 2], ['2.17.c_k', '2.289.q_uw', 2]], 'weak_equivalence_count': 6, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 8, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1664, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,7*F+5']}
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av_fq_endalg_factors • Show schema
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id: 11200
{'base_label': '2.17.k_cg', 'extension_degree': 1, 'extension_label': '1.17.e', 'multiplicity': 1}
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id: 11201
{'base_label': '2.17.k_cg', 'extension_degree': 1, 'extension_label': '1.17.g', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.52.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.e', 'galois_group': '2T1', 'places': [['2', '1'], ['15', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.g', 'galois_group': '2T1', 'places': [['10', '1'], ['7', '1']]}
