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av_fq_isog • Show schema
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{'abvar_count': 112, 'abvar_counts': [112, 12544, 1774192, 218566656, 25937197552, 3147757252864, 379749827318512, 45953639424000000, 5559917317706062192, 672738216851474792704], 'abvar_counts_str': '112 12544 1774192 218566656 25937197552 3147757252864 379749827318512 45953639424000000 5559917317706062192 672738216851474792704 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.174900856140521, 0.825099143859479], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 12, 'curve_counts': [12, 102, 1332, 14926, 161052, 1776822, 19487172, 214377118, 2357947692, 25936970502], 'curve_counts_str': '12 102 1332 14926 161052 1776822 19487172 214377118 2357947692 25936970502 ', 'curves': ['y^2=5*x^5+x^4+9*x^3+2*x^2+4*x+1', 'y^2=7*x^6+x^5+5*x^4+3*x^3+8*x^2+3*x+5', 'y^2=x^6+7*x^5+5*x^4+6*x^2+x+10', 'y^2=9*x^6+4*x^5+9*x^4+9*x^3+8*x^2+9*x+7', 'y^2=9*x^6+8*x^5+4*x^4+6*x^2+7*x+7', 'y^2=3*x^5+x^4+7*x^3+8*x^2+3', 'y^2=2*x^6+3*x^5+9*x^4+5*x^3+x^2+2*x+5', 'y^2=2*x^6+2*x^5+10*x^4+6*x^3+x^2+2*x+9', 'y^2=7*x^6+2*x^5+10*x^4+9*x^3+9*x^2+8*x+1', 'y^2=9*x^5+3*x^4+2*x^3+4*x^2+9*x+6', 'y^2=2*x^6+9*x^5+7*x^4+3*x^2+8*x+5', 'y^2=x^6+x^5+7*x^4+7*x^3+x^2+9*x+6', 'y^2=x^6+3*x^4+7*x^3+4*x^2+10*x+5'], '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': 12, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.24.1'], 'geometric_splitting_field': '2.0.24.1', 'geometric_splitting_polynomials': [[6, 0, 1]], 'group_structure_count': 5, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 13, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 13, 'label': '2.11.a_ak', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.576.2'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -10, 0, 121], 'poly_str': '1 0 -10 0 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, 0, -32], 'simple_distinct': ['2.11.a_ak'], 'simple_factors': ['2.11.a_akA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-9'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.576.2', 'splitting_polynomials': [[4, 0, 2, 0, 1]], 'twist_count': 6, 'twists': [['2.11.ag_x', '2.1331.a_dxe', 3], ['2.11.g_x', '2.1331.a_dxe', 3], ['2.11.a_k', '2.14641.ky_cvdu', 4], ['2.11.ai_bg', '2.214358881.bazk_brcckze', 8], ['2.11.i_bg', '2.214358881.bazk_brcckze', 8]], 'weak_equivalence_count': 15, 'zfv_index': 64, 'zfv_index_factorization': [[2, 6]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 144, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-9']}
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av_fq_endalg_factors • Show schema
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id: 8543
{'base_label': '2.11.a_ak', 'extension_degree': 1, 'extension_label': '2.11.a_ak', 'multiplicity': 1}
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id: 8544
{'base_label': '2.11.a_ak', 'extension_degree': 2, 'extension_label': '1.121.ak', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.576.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.a_ak', 'galois_group': '4T2', 'places': [['10', '2', '6', '0'], ['1', '2', '5', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.24.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.121.ak', 'galois_group': '2T1', 'places': [['7', '1'], ['4', '1']]}
