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av_fq_isog • Show schema
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{'abvar_count': 300, 'abvar_counts': [300, 90000, 24129900, 7056000000, 2015996731500, 582252074010000, 168377825846765100, 48660334684416000000, 14063084452171912790700, 4064242821418683092250000], 'abvar_counts_str': '300 90000 24129900 7056000000 2015996731500 582252074010000 168377825846765100 48660334684416000000 14063084452171912790700 4064242821418683092250000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.297512875490677, 0.702487124509323], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 18, 'curve_counts': [18, 310, 4914, 84478, 1419858, 24122230, 410338674, 6975634558, 118587876498, 2015999562550], 'curve_counts_str': '18 310 4914 84478 1419858 24122230 410338674 6975634558 118587876498 2015999562550 ', 'curves': ['y^2=9*x^5+7*x^4+10*x^3+11*x^2+x+1', 'y^2=10*x^5+4*x^4+13*x^3+16*x^2+3*x+3', 'y^2=13*x^5+6*x^4+3*x^3+6*x^2+8*x+2', 'y^2=5*x^5+x^4+9*x^3+x^2+7*x+6', 'y^2=6*x^6+8*x^5+10*x^4+2*x^3+13*x^2+4*x+9', 'y^2=5*x^6+5*x^5+16*x^4+9*x^3+6*x+5', 'y^2=6*x^6+6*x^5+8*x^4+14*x^3+6*x^2+16*x+2', 'y^2=x^6+x^5+7*x^4+8*x^3+x^2+14*x+6', 'y^2=x^6+15*x^5+6*x^4+11*x^3+8*x^2+4*x+4', 'y^2=3*x^6+11*x^5+x^4+16*x^3+7*x^2+12*x+12', 'y^2=3*x^6+2*x^5+4*x^4+11*x^2+12*x+6', 'y^2=9*x^6+6*x^5+12*x^4+16*x^2+2*x+1', 'y^2=4*x^6+16*x^5+5*x^4+11*x^3+8*x^2+6*x', 'y^2=12*x^6+14*x^5+15*x^4+16*x^3+7*x^2+x', 'y^2=9*x^6+3*x^5+12*x^4+6*x^3+6*x^2+4*x+6', 'y^2=10*x^6+9*x^5+2*x^4+x^3+x^2+12*x+1', 'y^2=3*x^6+16*x^5+3*x^4+8*x^3+6*x^2+10*x+3', 'y^2=9*x^6+14*x^5+9*x^4+7*x^3+x^2+13*x+9', 'y^2=15*x^5+11*x^4+8*x^3+12*x^2+13*x+10', 'y^2=11*x^5+16*x^4+7*x^3+2*x^2+5*x+13', 'y^2=15*x^6+15*x^4+16*x^3+7*x^2+9*x+10', 'y^2=11*x^6+11*x^4+14*x^3+4*x^2+10*x+13', 'y^2=14*x^6+16*x^5+12*x^4+6*x^3+13*x^2+15*x+2', 'y^2=12*x^6+6*x^5+8*x^4+6*x^3+7*x^2+3*x+1', 'y^2=x^6+8*x^5+14*x^4+16*x^3+8*x^2+11*x+4', 'y^2=3*x^6+7*x^5+8*x^4+14*x^3+7*x^2+16*x+12', 'y^2=8*x^6+9*x^5+3*x^4+14*x^3+12*x^2+3*x+10', 'y^2=7*x^6+10*x^5+9*x^4+8*x^3+2*x^2+9*x+13', 'y^2=5*x^6+12*x^5+15*x^4+7*x^3+5*x^2+7*x+9', 'y^2=10*x^6+14*x^5+8*x^4+9*x^3+5*x^2+15', 'y^2=13*x^6+8*x^5+7*x^4+10*x^3+15*x^2+11', 'y^2=13*x^6+9*x^5+7*x^4+10*x^3+8*x^2+12', 'y^2=5*x^6+10*x^5+4*x^4+13*x^3+7*x^2+2', 'y^2=10*x^6+14*x^5+3*x^3+2*x^2+6*x', 'y^2=13*x^6+8*x^5+9*x^3+6*x^2+x', 'y^2=10*x^6+2*x^5+12*x^4+13*x^2+9*x+14', 'y^2=16*x^6+14*x^5+8*x^4+3*x^3+10*x^2+7*x+10', 'y^2=7*x^6+x^5+5*x^4+5*x^2+7*x+9', 'y^2=4*x^6+3*x^5+15*x^4+15*x^2+4*x+10', 'y^2=2*x^6+x^5+16*x^4+16*x^3+12*x+10', 'y^2=6*x^6+3*x^5+14*x^4+14*x^3+2*x+13', 'y^2=16*x^6+5*x^5+3*x^4+3*x^3+11*x^2+15*x+7', 'y^2=11*x^6+13*x^5+16*x^4+10*x^3+6*x^2+9*x+7', 'y^2=16*x^6+5*x^5+14*x^4+13*x^3+x^2+10*x+4', 'y^2=16*x^6+12*x^4+13*x^3+5*x^2+14*x+16', 'y^2=14*x^6+2*x^4+5*x^3+15*x^2+8*x+14', 'y^2=5*x^6+4*x^5+15*x^4+11*x^3+7*x^2+3*x+16', 'y^2=15*x^6+12*x^5+11*x^4+16*x^3+4*x^2+9*x+14', 'y^2=x^6+7*x^5+10*x^4+7*x^3+8*x^2+7*x+7', 'y^2=3*x^6+4*x^5+13*x^4+4*x^3+7*x^2+4*x+4', 'y^2=7*x^6+6*x^5+9*x^4+10*x^3+5*x^2+5*x+13', 'y^2=16*x^6+x^5+7*x^4+6*x^3+10*x^2+12*x+9', 'y^2=14*x^6+3*x^5+4*x^4+x^3+13*x^2+2*x+10', 'y^2=7*x^6+9*x^5+9*x^4+10*x^3+12*x^2+14*x+13', 'y^2=4*x^6+10*x^5+10*x^4+13*x^3+2*x^2+8*x+5', 'y^2=4*x^6+10*x^5+2*x^4+12*x^3+14*x^2+14*x+12', 'y^2=6*x^6+12*x^5+15*x^4+16*x^3+13*x^2+2*x+13', 'y^2=x^6+2*x^5+11*x^4+14*x^3+5*x^2+6*x+5', 'y^2=10*x^5+11*x^4+9*x^3+2*x^2+3*x', 'y^2=5*x^5+x^4+10*x^3+3*x^2+11*x', 'y^2=3*x^6+11*x^5+10*x^4+7*x^3+15*x^2+14*x+16', 'y^2=9*x^6+16*x^5+13*x^4+4*x^3+11*x^2+8*x+14', 'y^2=7*x^6+11*x^5+x^4+13*x^3+2*x^2+14*x+7', 'y^2=4*x^6+16*x^5+3*x^4+5*x^3+6*x^2+8*x+4', 'y^2=8*x^6+3*x^5+3*x^4+5*x^3+16*x^2+6*x+6', 'y^2=2*x^6+2*x^5+x^4+12*x^3+x+11', 'y^2=6*x^6+6*x^5+3*x^4+2*x^3+3*x+16', 'y^2=2*x^6+12*x^5+10*x^4+12*x^3+10*x^2+9*x+3', 'y^2=6*x^6+2*x^5+13*x^4+2*x^3+13*x^2+10*x+9', 'y^2=11*x^6+14*x^5+2*x^4+13*x^3+4*x^2+16*x+3', 'y^2=16*x^6+8*x^5+6*x^4+5*x^3+12*x^2+14*x+9', 'y^2=4*x^5+3*x^4+10*x^3+13*x^2+4*x+11', 'y^2=4*x^6+11*x^5+4*x^4+12*x^3+6*x^2+16*x+2', 'y^2=12*x^6+16*x^5+12*x^4+2*x^3+x^2+14*x+6', 'y^2=4*x^6+14*x^5+13*x^4+5*x^3+6*x^2+6*x+12', 'y^2=13*x^6+6*x^5+12*x^4+13*x^3+15*x^2+3*x+6'], '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': 5, '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': ['2.0.264.1'], 'geometric_splitting_field': '2.0.264.1', 'geometric_splitting_polynomials': [[66, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 76, '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': 76, 'label': '2.17.a_k', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.69696.3'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 10, 0, 289], 'poly_str': '1 0 10 0 289 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, 0, -24], 'simple_distinct': ['2.17.a_k'], 'simple_factors': ['2.17.a_kA'], 'simple_multiplicities': [1], 'singular_primes': ['2,3*F+5'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.69696.3', 'splitting_polynomials': [[75, 6, -5, -2, 1]], 'twist_count': 2, 'twists': [['2.17.a_ak', '2.83521.bku_wnco', 4]], 'weak_equivalence_count': 5, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 1936, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,3*F+5']}
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av_fq_endalg_factors • Show schema
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id: 10734
{'base_label': '2.17.a_k', 'extension_degree': 1, 'extension_label': '2.17.a_k', 'multiplicity': 1}
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id: 10735
{'base_label': '2.17.a_k', 'extension_degree': 2, 'extension_label': '1.289.k', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.69696.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.a_k', 'galois_group': '4T2', 'places': [['14', '7', '14', '2'], ['7', '0', '9', '11']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.264.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.289.k', 'galois_group': '2T1', 'places': [['11', '1'], ['6', '1']]}
