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av_fq_isog • Show schema
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{'abvar_count': 267, 'abvar_counts': [267, 71289, 24145344, 6984112041, 2015995440507, 582997636878336, 168377825834645883, 48663488908087058889, 14063084451974610887616, 4064237616145012976417049], 'abvar_counts_str': '267 71289 24145344 6984112041 2015995440507 582997636878336 168377825834645883 48663488908087058889 14063084451974610887616 4064237616145012976417049 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.13175429387974, 0.86824570612026], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 18, 'curve_counts': [18, 244, 4914, 83620, 1419858, 24153118, 410338674, 6976086724, 118587876498, 2015996980564], 'curve_counts_str': '18 244 4914 83620 1419858 24153118 410338674 6976086724 118587876498 2015996980564 ', 'curves': ['y^2=7*x^6+7*x^5+16*x^4+13*x^3+3*x^2+7*x+11', 'y^2=4*x^6+4*x^5+14*x^4+5*x^3+9*x^2+4*x+16', 'y^2=14*x^6+4*x^5+4*x^4+x^3+8*x^2+6*x+5', 'y^2=11*x^6+14*x^5+9*x^4+8*x^3+8*x^2+9*x+11', 'y^2=11*x^6+3*x^5+15*x^4+7*x^2+13*x+1', 'y^2=16*x^6+9*x^5+11*x^4+4*x^2+5*x+3'], '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': ['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': ['2.0.627.1'], 'geometric_splitting_field': '2.0.627.1', 'geometric_splitting_polynomials': [[157, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, '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': 6, 'label': '2.17.a_ax', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.393129.2'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -23, 0, 289], 'poly_str': '1 0 -23 0 289 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, 0, -57], 'simple_distinct': ['2.17.a_ax'], 'simple_factors': ['2.17.a_axA'], 'simple_multiplicities': [1], 'singular_primes': ['2,9*F^2-V-2'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.393129.2', 'splitting_polynomials': [[289, 0, -23, 0, 1]], 'twist_count': 2, 'twists': [['2.17.a_x', '2.83521.du_jqrb', 4]], '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': 121, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,9*F^2-V-2']}
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av_fq_endalg_factors • Show schema
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id: 10797
{'base_label': '2.17.a_ax', 'extension_degree': 1, 'extension_label': '2.17.a_ax', 'multiplicity': 1}
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id: 10798
{'base_label': '2.17.a_ax', 'extension_degree': 2, 'extension_label': '1.289.ax', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.393129.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.a_ax', 'galois_group': '4T2', 'places': [['0', '23/17', '0', '288/17'], ['0', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.627.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.289.ax', 'galois_group': '2T1', 'places': [['5', '1'], ['11', '1']]}
