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av_fq_isog • Show schema
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{'abvar_count': 308, 'abvar_counts': [308, 94864, 24127796, 7018418176, 2015994879668, 582150539817616, 168377827127013812, 48662622293144961024, 14063084451841766052404, 4064235354847593799790224], 'abvar_counts_str': '308 94864 24127796 7018418176 2015994879668 582150539817616 168377827127013812 48662622293144961024 14063084451841766052404 4064235354847593799790224 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.338793663196658, 0.661206336803342], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 18, 'curve_counts': [18, 326, 4914, 84030, 1419858, 24118022, 410338674, 6975962494, 118587876498, 2015995858886], 'curve_counts_str': '18 326 4914 84030 1419858 24118022 410338674 6975962494 118587876498 2015995858886 ', 'curves': ['y^2=14*x^6+3*x^5+6*x^4+11*x^3+6*x^2+5*x+11', 'y^2=8*x^6+9*x^5+x^4+16*x^3+x^2+15*x+16', 'y^2=6*x^6+3*x^5+9*x^4+13*x^3+6*x^2+7*x+15', 'y^2=13*x^6+15*x^5+16*x^4+12*x^3+4*x^2+14*x+6', 'y^2=5*x^6+11*x^5+14*x^4+2*x^3+12*x^2+8*x+1', 'y^2=8*x^6+8*x^4+6*x^3+14*x^2+11', 'y^2=8*x^6+x^5+8*x^4+12*x^3+7*x^2+5*x+10', 'y^2=11*x^6+16*x^5+3*x^4+x^3+7*x^2+4*x+5', 'y^2=16*x^6+14*x^5+9*x^4+3*x^3+4*x^2+12*x+15', 'y^2=6*x^6+6*x^5+6*x^4+3*x^3+4*x^2+3*x+8', 'y^2=x^6+x^5+x^4+9*x^3+12*x^2+9*x+7', 'y^2=4*x^6+3*x^5+16*x^4+3*x^3+2*x^2+13*x+9', 'y^2=5*x^6+5*x^5+13*x^4+6*x^3+10*x^2+13*x+16', 'y^2=15*x^6+15*x^5+5*x^4+x^3+13*x^2+5*x+14', 'y^2=4*x^6+15*x^4+11*x^2+6', 'y^2=15*x^6+3*x^4+9*x^2+14', 'y^2=14*x^6+3*x^5+2*x^4+7*x^3+14*x^2+11*x+8', 'y^2=5*x^6+10*x^5+16*x^4+4*x^3+14*x^2+5*x+16', 'y^2=6*x^6+9*x^5+6*x^4+16*x^3+9*x^2+16*x+16', 'y^2=14*x^6+11*x^5+10*x^4+2*x^3+15*x^2+10*x+1', 'y^2=13*x^6+15*x^5+6*x^4+16*x^3+8*x^2+4*x+5', 'y^2=7*x^6+9*x^5+16*x^4+3*x^3+16*x^2+9*x+7', 'y^2=4*x^6+10*x^5+14*x^4+9*x^3+14*x^2+10*x+4', 'y^2=9*x^6+4*x^5+9*x^4+4*x^3+14*x^2+14'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 7, 'g': 2, 'galois_groups': ['2T1', '2T1'], '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': ['2.0.52.1'], 'geometric_splitting_field': '2.0.52.1', 'geometric_splitting_polynomials': [[13, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.17.a_s', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.52.1', '2.0.52.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 8], [2, 7, 1, 8], [1, 3, 1, 2], [1, 11, 1, 8]], 'poly': [1, 0, 18, 0, 289], 'poly_str': '1 0 18 0 289 ', 'primitive_models': [], 'principal_polarization_count': 36, 'q': 17, 'real_poly': [1, 0, -16], 'simple_distinct': ['1.17.ae', '1.17.e'], 'simple_factors': ['1.17.aeA', '1.17.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-F+9'], 'size': 136, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.52.1', 'splitting_polynomials': [[13, 0, 1]], 'twist_count': 6, 'twists': [['2.17.ai_by', '2.289.bk_bis', 2], ['2.17.i_by', '2.289.bk_bis', 2], ['2.17.a_as', '2.83521.to_neoc', 4], ['2.17.ae_ab', '2.24137569.abcxw_mcrzcg', 6], ['2.17.e_ab', '2.24137569.abcxw_mcrzcg', 6]], 'weak_equivalence_count': 7, 'zfv_index': 64, 'zfv_index_factorization': [[2, 6]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 64, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2704, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F+9']}
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av_fq_endalg_factors • Show schema
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id: 11276
{'base_label': '2.17.a_s', 'extension_degree': 1, 'extension_label': '1.17.ae', 'multiplicity': 1}
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id: 11277
{'base_label': '2.17.a_s', 'extension_degree': 1, 'extension_label': '1.17.e', 'multiplicity': 1}
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id: 11278
{'base_label': '2.17.a_s', 'extension_degree': 2, 'extension_label': '1.289.s', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.52.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.ae', 'galois_group': '2T1', 'places': [['15', '1'], ['2', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.52.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.e', 'galois_group': '2T1', 'places': [['2', '1'], ['15', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.52.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.289.s', 'galois_group': '2T1', 'places': [['15', '1'], ['2', '1']]}
