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av_fq_isog • Show schema
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{'abvar_count': 286, 'abvar_counts': [286, 81796, 24140974, 7070119056, 2015992321486, 582786625668676, 168377827162473214, 48659115898442649600, 14063084451860675019646, 4064225040290511577248196], 'abvar_counts_str': '286 81796 24140974 7070119056 2015992321486 582786625668676 168377827162473214 48659115898442649600 14063084451860675019646 4064225040290511577248196 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.231232424915034, 0.768767575084966], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 18, 'curve_counts': [18, 282, 4914, 84646, 1419858, 24144378, 410338674, 6975459838, 118587876498, 2015990742522], 'curve_counts_str': '18 282 4914 84646 1419858 24144378 410338674 6975459838 118587876498 2015990742522 ', 'curves': ['y^2=11*x^6+14*x^5+x^4+16*x^3+15*x^2+16*x+13', 'y^2=16*x^6+8*x^5+3*x^4+14*x^3+11*x^2+14*x+5', 'y^2=3*x^6+15*x^5+10*x^4+6*x^3+15*x^2+7*x+9', 'y^2=9*x^6+11*x^5+13*x^4+x^3+11*x^2+4*x+10', 'y^2=14*x^6+13*x^5+6*x^4+13*x^3+8*x+6', 'y^2=8*x^6+5*x^5+x^4+5*x^3+7*x+1', 'y^2=12*x^6+15*x^5+16*x^4+16*x^3+16*x^2+14*x', 'y^2=2*x^6+11*x^5+14*x^4+14*x^3+14*x^2+8*x', 'y^2=15*x^6+7*x^5+8*x^4+8*x^3+10', 'y^2=11*x^6+4*x^5+7*x^4+7*x^3+13', 'y^2=14*x^6+10*x^4+10*x^3+14*x^2+9*x+5', 'y^2=8*x^6+13*x^4+13*x^3+8*x^2+10*x+15', 'y^2=13*x^6+13*x^5+11*x^4+12*x^3+10*x^2+13*x+16', 'y^2=5*x^6+5*x^5+16*x^4+2*x^3+13*x^2+5*x+14', 'y^2=16*x^6+9*x^4+16*x^3+9*x^2+3*x+6', 'y^2=14*x^6+10*x^4+14*x^3+10*x^2+9*x+1', 'y^2=2*x^6+12*x^5+13*x^4+16*x^3+14*x^2+2*x+7', 'y^2=6*x^6+2*x^5+5*x^4+14*x^3+8*x^2+6*x+4', 'y^2=13*x^6+9*x^5+7*x^4+14*x^3+15*x^2+11*x+8', 'y^2=5*x^6+10*x^5+4*x^4+8*x^3+11*x^2+16*x+7', 'y^2=16*x^6+9*x^5+6*x^4+14*x^3+2*x^2+x+14', 'y^2=14*x^6+10*x^5+x^4+8*x^3+6*x^2+3*x+8', 'y^2=x^6+7*x^5+3*x^4+15*x^3+3*x^2+8*x+13', 'y^2=3*x^6+4*x^5+9*x^4+11*x^3+9*x^2+7*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': 1, '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': ['2.0.1140.1'], 'geometric_splitting_field': '2.0.1140.1', 'geometric_splitting_polynomials': [[285, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.17.a_ae', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.20793600.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -4, 0, 289], 'poly_str': '1 0 -4 0 289 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, 0, -38], 'simple_distinct': ['2.17.a_ae'], 'simple_factors': ['2.17.a_aeA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.20793600.1', 'splitting_polynomials': [[289, 0, -4, 0, 1]], 'twist_count': 2, 'twists': [['2.17.a_e', '2.83521.brg_bbmio', 4]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 900, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 10759
{'base_label': '2.17.a_ae', 'extension_degree': 1, 'extension_label': '2.17.a_ae', 'multiplicity': 1}
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id: 10760
{'base_label': '2.17.a_ae', 'extension_degree': 2, 'extension_label': '1.289.ae', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.20793600.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.a_ae', 'galois_group': '4T2', 'places': [['2', '1', '0', '0'], ['15', '1', '0', '0'], ['2', '285/17', '0', '1/17'], ['15', '285/17', '0', '1/17']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.1140.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.289.ae', 'galois_group': '2T1', 'places': [['15', '1'], ['2', '1']]}
