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av_fq_isog • Show schema
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{'abvar_count': 168, 'abvar_counts': [168, 28224, 4827816, 834978816, 137858212968, 23307807329856, 3937376450113512, 665327806805458944, 112455406938408191784, 19004886882730443369024], 'abvar_counts_str': '168 28224 4827816 834978816 137858212968 23307807329856 3937376450113512 665327806805458944 112455406938408191784 19004886882730443369024 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.237745206150638, 0.762254793849362], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 14, 'curve_counts': [14, 166, 2198, 29230, 371294, 4828822, 62748518, 815621854, 10604499374, 137857934086], 'curve_counts_str': '14 166 2198 29230 371294 4828822 62748518 815621854 10604499374 137857934086 ', 'curves': ['y^2=4*x^6+5*x^5+9*x^4+12*x^3+7*x^2+6*x+5', 'y^2=8*x^6+10*x^5+5*x^4+11*x^3+x^2+12*x+10', 'y^2=2*x^5+9*x^4+4*x^3+4*x+2', 'y^2=x^6+x^5+11*x^4+7*x^3+8*x^2+5*x+12', 'y^2=3*x^5+4*x^4+5*x^3+7*x^2+10*x', 'y^2=12*x^6+2*x^5+12*x^4+4*x^3+6*x^2+12*x+1', 'y^2=11*x^6+4*x^5+11*x^4+8*x^3+12*x^2+11*x+2', 'y^2=8*x^5+11*x^3+10*x^2+5*x+9', 'y^2=3*x^5+9*x^3+7*x^2+10*x+5', 'y^2=4*x^6+5*x^5+3*x^4+7*x^3+4*x^2+8*x+12', 'y^2=6*x^6+5*x^5+6*x^4+12*x^3+6*x^2+7*x', 'y^2=12*x^6+10*x^5+12*x^4+11*x^3+12*x^2+x', 'y^2=10*x^6+x^5+11*x^4+5*x^3+3*x^2+6', 'y^2=5*x^6+8*x^4+9*x^3+x^2+5*x+2', 'y^2=12*x^5+12*x^4+11*x^3+x^2+8*x+6', 'y^2=11*x^5+11*x^4+9*x^3+2*x^2+3*x+12', 'y^2=x^6+9*x^5+5*x^4+7*x^3+x^2+5*x+3', 'y^2=3*x^6+2*x^5+11*x^4+6*x^3+12*x^2+7*x+2', 'y^2=2*x^6+8*x^3+6*x^2+11*x+11', 'y^2=4*x^6+3*x^3+12*x^2+9*x+9', 'y^2=8*x^5+7*x^4+4*x^2+8*x+1', 'y^2=3*x^5+x^4+8*x^2+3*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': 4, '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': ['2.0.168.1'], 'geometric_splitting_field': '2.0.168.1', 'geometric_splitting_polynomials': [[42, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 22, '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': 22, 'label': '2.13.a_ac', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.112896.6'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -2, 0, 169], 'poly_str': '1 0 -2 0 169 ', 'primitive_models': [], 'q': 13, 'real_poly': [1, 0, -28], 'simple_distinct': ['2.13.a_ac'], 'simple_factors': ['2.13.a_acA'], 'simple_multiplicities': [1], 'singular_primes': ['2,9*V-1'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.112896.6', 'splitting_polynomials': [[81, 0, 24, 0, 1]], 'twist_count': 2, 'twists': [['2.13.a_c', '2.28561.zs_jpnq', 4]], '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': 576, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,9*V-1']}
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av_fq_endalg_factors • Show schema
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id: 9162
{'base_label': '2.13.a_ac', 'extension_degree': 1, 'extension_label': '2.13.a_ac', 'multiplicity': 1}
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id: 9163
{'base_label': '2.13.a_ac', 'extension_degree': 2, 'extension_label': '1.169.ac', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.112896.6', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.13.a_ac', 'galois_group': '4T2', 'places': [['10', '11', '3', '12'], ['10', '2', '3', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.168.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.169.ac', 'galois_group': '2T1', 'places': [['6', '1'], ['7', '1']]}
