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av_fq_isog • Show schema
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{'abvar_count': 87, 'abvar_counts': [87, 15921, 1720512, 214631001, 26182476087, 3143499300864, 379698450996063, 45953332014062889, 5560020782234741952, 672736897945595826801], 'abvar_counts_str': '87 15921 1720512 214631001 26182476087 3143499300864 379698450996063 45953332014062889 5560020782234741952 672736897945595826801 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.179559488784406, 0.577818478944484], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 8, 'curve_counts': [8, 132, 1292, 14660, 162568, 1774422, 19484536, 214375684, 2357991572, 25936919652], 'curve_counts_str': '8 132 1292 14660 162568 1774422 19484536 214375684 2357991572 25936919652 ', 'curves': ['y^2=4*x^6+2*x^4+8*x^3+8*x^2+9*x+10', 'y^2=8*x^6+6*x^5+4*x^4+x^3+9*x+6', 'y^2=4*x^6+9*x^4+10*x^3+8*x^2+10*x+6', 'y^2=4*x^6+9*x^5+4*x^4+4*x^3+x^2+9*x+10', 'y^2=2*x^6+6*x^5+8*x^4+2*x^3+2*x^2+6*x+10', 'y^2=10*x^6+2*x^5+4*x^4+3*x^3+9*x+8', 'y^2=6*x^6+x^5+3*x^4+x^3+3*x^2+10', 'y^2=10*x^6+9*x^5+3*x^4+5*x^3+7*x^2+6*x+7', 'y^2=10*x^6+8*x^5+10*x^4+8*x^3+3*x^2+5*x+8', 'y^2=9*x^6+5*x^5+4*x^4+2*x^3+7*x^2+2*x+2', 'y^2=x^6+3*x^5+5*x^4+x^3+8*x^2+3', 'y^2=10*x^6+8*x^5+10*x^4+3*x^3+9*x^2+10*x+10', 'y^2=10*x^6+10*x^5+9*x^4+6*x^3+9*x^2+3*x+4', 'y^2=x^6+3*x^5+5*x^4+8*x^3+8*x^2+8*x+2'], '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': 2, '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': ['4.0.88049.1'], 'geometric_splitting_field': '4.0.88049.1', 'geometric_splitting_polynomials': [[36, -14, 15, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 14, 'label': '2.11.ae_n', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.88049.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -4, 13, -44, 121], 'poly_str': '1 -4 13 -44 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, -4, -9], 'simple_distinct': ['2.11.ae_n'], 'simple_factors': ['2.11.ae_nA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2-V'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.88049.1', 'splitting_polynomials': [[36, -14, 15, -2, 1]], 'twist_count': 2, 'twists': [['2.11.e_n', '2.121.k_ch', 2]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 521, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2-V']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.11.ae_n', 'extension_degree': 1, 'extension_label': '2.11.ae_n', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.88049.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.ae_n', 'galois_group': '4T3', 'places': [['1', '3', '10', '0'], ['8', '1', '1', '0']]}
