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av_fq_isog • Show schema
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{'abvar_count': 318, 'abvar_counts': [318, 101124, 24135246, 6941555856, 2015991083118, 582510099480516, 168377826173133342, 48662930347608674304, 14063084452223460253854, 4064220047211286784601924], 'abvar_counts_str': '318 101124 24135246 6941555856 2015991083118 582510099480516 168377826173133342 48662930347608674304 14063084452223460253854 4064220047211286784601924 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.403999106166673, 0.596000893833327], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 18, 'curve_counts': [18, 346, 4914, 83110, 1419858, 24132922, 410338674, 6976006654, 118587876498, 2015988265786], 'curve_counts_str': '18 346 4914 83110 1419858 24132922 410338674 6976006654 118587876498 2015988265786 ', 'curves': ['y^2=12*x^6+2*x^5+14*x^4+6*x^3+8*x^2+2*x+9', 'y^2=2*x^6+6*x^5+8*x^4+x^3+7*x^2+6*x+10', 'y^2=3*x^6+2*x^5+15*x^4+6*x^3+5*x^2+6*x+1', 'y^2=9*x^6+6*x^5+11*x^4+x^3+15*x^2+x+3', 'y^2=4*x^6+16*x^5+14*x^4+10*x^3+13*x^2+11', 'y^2=12*x^6+14*x^5+8*x^4+13*x^3+5*x^2+16', 'y^2=8*x^6+6*x^5+10*x^4+4*x^3+10*x^2+x+11', 'y^2=7*x^6+x^5+13*x^4+12*x^3+13*x^2+3*x+16', 'y^2=14*x^6+3*x^5+8*x^4+9*x^2+14*x+15', 'y^2=8*x^6+9*x^5+7*x^4+10*x^2+8*x+11', 'y^2=x^6+13*x^5+4*x^4+16*x^3+11*x^2+9*x+3', 'y^2=3*x^6+5*x^5+12*x^4+14*x^3+16*x^2+10*x+9', 'y^2=4*x^6+2*x^4+x^3+3*x^2+7*x+8', 'y^2=12*x^6+6*x^4+3*x^3+9*x^2+4*x+7'], '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': ['2.0.372.1'], 'geometric_splitting_field': '2.0.372.1', 'geometric_splitting_polynomials': [[93, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, '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': 14, 'label': '2.17.a_bc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.2214144.2'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 28, 0, 289], 'poly_str': '1 0 28 0 289 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, 0, -6], 'simple_distinct': ['2.17.a_bc'], 'simple_factors': ['2.17.a_bcA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2214144.2', 'splitting_polynomials': [[289, 0, 28, 0, 1]], 'twist_count': 2, 'twists': [['2.17.a_abc', '2.83521.apw_lxww', 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': 3844, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 10700
{'base_label': '2.17.a_bc', 'extension_degree': 1, 'extension_label': '2.17.a_bc', 'multiplicity': 1}
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id: 10701
{'base_label': '2.17.a_bc', 'extension_degree': 2, 'extension_label': '1.289.bc', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.2214144.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.a_bc', 'galois_group': '4T2', 'places': [['0', '28/17', '0', '1/17'], ['0', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.372.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.289.bc', 'galois_group': '2T1', 'places': [['14', '1'], ['3', '1']]}
