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av_fq_isog • Show schema
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{'abvar_count': 104, 'abvar_counts': [104, 15808, 1721096, 219035648, 26143963144, 3136401431488, 379780932760424, 45949715281313792, 5559470481947004584, 672744674891234665408], 'abvar_counts_str': '104 15808 1721096 219035648 26143963144 3136401431488 379780932760424 45949715281313792 5559470481947004584 672744674891234665408 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.219087573611018, 0.65604400049332], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 10, 'curve_counts': [10, 130, 1294, 14958, 162330, 1770418, 19488766, 214358814, 2357758186, 25937219490], 'curve_counts_str': '10 130 1294 14958 162330 1770418 19488766 214358814 2357758186 25937219490 ', 'curves': ['y^2=6*x^6+5*x^5+9*x^4+8*x^3+5*x^2+3*x', 'y^2=10*x^6+5*x^5+10*x^4+3*x^3+2*x^2+2*x+1', 'y^2=x^6+8*x^5+x^4+2*x^3+3*x^2+9*x+2', 'y^2=6*x^6+10*x^4+9*x^3+6*x^2+10*x+7', 'y^2=6*x^6+5*x^5+7*x^4+x^3+4*x^2+3*x+3', 'y^2=5*x^6+10*x^5+6*x^4+x^3+2*x^2+4*x', 'y^2=4*x^6+x^5+10*x^3+6*x^2+6*x', 'y^2=6*x^6+7*x^5+x^4+5*x^2+4*x+7', 'y^2=2*x^5+4*x^4+10*x^3+3*x^2+5*x', 'y^2=9*x^6+x^5+5*x^4+6*x^3+7*x^2+9*x+2', 'y^2=6*x^6+2*x^5+2*x^4+7*x^3+9*x^2+x+1', 'y^2=5*x^6+10*x^5+10*x^4+8*x^3+x^2+1', 'y^2=4*x^6+x^5+9*x^4+6*x^3+8*x^2+x', 'y^2=3*x^5+2*x^4+8*x^3+2*x^2+10*x+3', 'y^2=5*x^6+10*x^5+3*x^4+5*x^2+3*x+9', 'y^2=x^6+7*x^5+6*x^4+x^3+2*x^2+8*x+2', 'y^2=10*x^6+2*x^5+7*x^4+2*x^3+6*x^2+6*x', 'y^2=6*x^5+5*x^4+3*x+6', 'y^2=5*x^6+6*x^5+10*x^4+3*x^3+10*x^2+x+2', 'y^2=3*x^6+6*x^5+8*x^4+5*x^3+5*x^2+9*x+1'], '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': 4, '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': ['4.0.43928.1'], 'geometric_splitting_field': '4.0.43928.1', 'geometric_splitting_polynomials': [[38, 0, 13, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 20, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 20, 'label': '2.11.ac_g', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.43928.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -2, 6, -22, 121], 'poly_str': '1 -2 6 -22 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, -2, -16], 'simple_distinct': ['2.11.ac_g'], 'simple_factors': ['2.11.ac_gA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+F+6'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.43928.1', 'splitting_polynomials': [[38, 0, 13, 0, 1]], 'twist_count': 2, 'twists': [['2.11.c_g', '2.121.i_hi', 2]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 608, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+F+6']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.11.ac_g', 'extension_degree': 1, 'extension_label': '2.11.ac_g', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.43928.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.ac_g', 'galois_group': '4T3', 'places': [['4', '1', '10', '0'], ['7', '1', '1', '0']]}
