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av_fq_isog • Show schema
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{'abvar_count': 72, 'abvar_counts': [72, 15552, 1750248, 211507200, 26014085352, 3147295953600, 379921632491592, 45949275913420800, 5560073041789601928, 672760876491684395712], 'abvar_counts_str': '72 15552 1750248 211507200 26014085352 3147295953600 379921632491592 45949275913420800 5560073041789601928 672760876491684395712 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.140218899003772, 0.5], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 6, 'curve_counts': [6, 130, 1314, 14446, 161526, 1776562, 19495986, 214356766, 2358013734, 25937844130], 'curve_counts_str': '6 130 1314 14446 161526 1776562 19495986 214356766 2358013734 25937844130 ', 'curves': ['y^2=7*x^5+8*x^4+2*x^3+2*x^2+9*x+1', 'y^2=2*x^6+6*x^5+4*x^4+5*x^3+4*x^2+6*x+2', 'y^2=8*x^6+3*x^5+3*x^4+4*x^3+3*x^2+3*x+8', 'y^2=2*x^6+8*x^5+4*x^4+2*x^3+x^2+6*x+10', 'y^2=6*x^6+2*x^5+5*x^4+4*x^3+5*x^2+2*x+6', 'y^2=8*x^6+2*x^5+x^4+3*x^2+10*x+2', 'y^2=3*x^5+9*x^4+7*x^3+8*x^2+8*x+8', 'y^2=10*x^5+10*x^4+x^3+9*x^2+6*x', 'y^2=10*x^6+2*x^5+6*x^4+4*x^3+6*x^2+9*x+3', 'y^2=6*x^6+8*x^5+2*x^4+6*x^3+2*x^2+8*x+6', 'y^2=3*x^6+2*x^5+6*x^4+4*x^3+6*x^2+2*x+3', 'y^2=6*x^6+2*x^4+9*x^3+8*x^2+8*x', 'y^2=8*x^6+8*x^5+2*x^4+4*x^3+4*x^2+7*x+10', 'y^2=2*x^6+4*x^5+3*x^4+5*x^3+9*x^2+6*x+10', 'y^2=10*x^6+10*x^5+8*x^4+3*x^3+10*x^2+8*x+6', 'y^2=7*x^6+4*x^4+2*x^3+2*x^2+9*x+4'], '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': 16, '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': 3, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'group_structure_count': 6, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 16, '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': 16, 'label': '2.11.ag_w', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 1, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.8.1', '2.0.11.1'], 'p': 11, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, -6, 22, -66, 121], 'poly_str': '1 -6 22 -66 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, -6], 'simple_distinct': ['1.11.ag', '1.11.a'], 'simple_factors': ['1.11.agA', '1.11.aA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,2*F+V-5', '3,3*F+V+2', '3,12*F+V-2'], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.7744.1', 'splitting_polynomials': [[3, -10, 11, -2, 1]], 'twist_count': 2, 'twists': [['2.11.g_w', '2.121.i_aco', 2]], 'weak_equivalence_count': 20, 'zfv_index': 72, 'zfv_index_factorization': [[2, 3], [3, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 352, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,2*F+V-5', '3,3*F+V+2', '3,12*F+V-2']}
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av_fq_endalg_factors • Show schema
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id: 8888
{'base_label': '2.11.ag_w', 'extension_degree': 1, 'extension_label': '1.11.ag', 'multiplicity': 1}
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id: 8889
{'base_label': '2.11.ag_w', 'extension_degree': 1, 'extension_label': '1.11.a', 'multiplicity': 1}
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id: 8890
{'base_label': '2.11.ag_w', 'extension_degree': 2, 'extension_label': '1.121.ao', 'multiplicity': 1}
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id: 8891
{'base_label': '2.11.ag_w', 'extension_degree': 2, 'extension_label': '1.121.w', 'multiplicity': 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': '1.11.ag', 'galois_group': '2T1', 'places': [['8', '1'], ['3', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.a', 'galois_group': '2T1', 'places': [['5', '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': '1.121.ao', 'galois_group': '2T1', 'places': [['8', '1'], ['3', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.121.w', 'galois_group': '1T1', 'places': [['0']]}
