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av_fq_isog • Show schema
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{'abvar_count': 192, 'abvar_counts': [192, 18432, 1683648, 213811200, 25925506752, 3139666790400, 379919099159232, 45940634143948800, 5559816143388558528, 672766554264437901312], 'abvar_counts_str': '192 18432 1683648 213811200 25925506752 3139666790400 379919099159232 45940634143948800 5559816143388558528 672766554264437901312 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.5, 0.706037166300355], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 16, 'curve_counts': [16, 150, 1264, 14606, 160976, 1772262, 19495856, 214316446, 2357904784, 25938063030], 'curve_counts_str': '16 150 1264 14606 160976 1772262 19495856 214316446 2357904784 25938063030 ', 'curves': ['y^2=2*x^6+9*x^5+9*x^4+3*x^2+x+7', 'y^2=x^6+8*x^5+2*x^4+8*x^3+2*x^2+8*x+1', 'y^2=3*x^6+10*x^5+6*x^4+2*x^3+10*x^2+6*x+8', 'y^2=3*x^6+x^5+2*x^4+5*x^3+2*x^2+9*x+5', 'y^2=4*x^6+2*x^5+2*x^4+8*x^3+2*x^2+x+8', 'y^2=9*x^5+5*x^4+4*x^3+7*x^2+10*x+3', 'y^2=3*x^6+5*x^5+6*x^4+10*x^3+4*x^2+4*x+9', 'y^2=4*x^6+8*x^5+x^4+6*x^3+5*x^2+2*x+5', 'y^2=5*x^5+5*x^4+10*x^3+5*x^2+5*x', 'y^2=3*x^6+4*x^5+7*x^4+9*x^3+7*x^2+4*x+3', 'y^2=x^6+x^5+8*x^4+4*x^3+8*x^2+x+1', 'y^2=3*x^6+8*x^5+4*x^4+10*x^3+4*x^2+8*x+3', 'y^2=x^6+9*x^5+7*x^3+9*x+1', 'y^2=2*x^6+2*x^5+9*x^4+8*x^3+x^2+6*x+8', 'y^2=4*x^5+6*x^4+7*x^3+6*x^2+4*x', 'y^2=10*x^6+5*x^4+4*x^3+5*x^2+10', 'y^2=10*x^6+4*x^5+x^4+9*x^3+x^2+4*x+10', 'y^2=10*x^6+7*x^5+6*x^4+x^3+8*x+5'], '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': 14, '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', '2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'group_structure_count': 7, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 18, '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': 18, 'label': '2.11.e_w', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 1, 'noncyclic_primes': [2], 'number_fields': ['2.0.11.1', '2.0.7.1'], 'p': 11, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, 4, 22, 44, 121], 'poly_str': '1 4 22 44 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, 4], 'simple_distinct': ['1.11.a', '1.11.e'], 'simple_factors': ['1.11.aA', '1.11.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-V-3'], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.5929.1', 'splitting_polynomials': [[1, 0, 9, 0, 1]], 'twist_count': 2, 'twists': [['2.11.ae_w', '2.121.bc_ok', 2]], 'weak_equivalence_count': 24, 'zfv_index': 64, 'zfv_index_factorization': [[2, 6]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1232, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-V-3']}
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av_fq_endalg_factors • Show schema
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id: 8789
{'base_label': '2.11.e_w', 'extension_degree': 1, 'extension_label': '1.11.a', 'multiplicity': 1}
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id: 8790
{'base_label': '2.11.e_w', 'extension_degree': 1, 'extension_label': '1.11.e', 'multiplicity': 1}
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id: 8791
{'base_label': '2.11.e_w', 'extension_degree': 2, 'extension_label': '1.121.g', 'multiplicity': 1}
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id: 8792
{'base_label': '2.11.e_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'], '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': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.e', 'galois_group': '2T1', 'places': [['6', '1'], ['4', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.121.g', 'galois_group': '2T1', 'places': [['4', '1'], ['6', '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']]}
