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av_fq_isog • Show schema
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{'abvar_count': 276, 'abvar_counts': [276, 76176, 24146964, 7039881216, 2015991481236, 583075870417296, 168377826698944404, 48661486518155673600, 14063084452216474556436, 4064221652416121340087696], 'abvar_counts_str': '276 76176 24146964 7039881216 2015991481236 583075870417296 168377826698944404 48661486518155673600 14063084452216474556436 4064221652416121340087696 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.182456280080065, 0.817543719919935], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 18, 'curve_counts': [18, 262, 4914, 84286, 1419858, 24156358, 410338674, 6975799678, 118587876498, 2015989062022], 'curve_counts_str': '18 262 4914 84286 1419858 24156358 410338674 6975799678 118587876498 2015989062022 ', 'curves': ['y^2=16*x^6+16*x^5+15*x^4+4*x^3+6*x^2+8*x+10', 'y^2=x^6+x^3+6', 'y^2=7*x^6+5*x^5+8*x^4+12*x^3+10*x^2+4', 'y^2=12*x^6+15*x^5+10*x^4+x^3+7*x^2+12*x+9', 'y^2=2*x^6+11*x^5+13*x^4+3*x^3+4*x^2+2*x+10', 'y^2=14*x^6+15*x^5+6*x^4+14*x^3+16*x^2+16*x+13', 'y^2=10*x^6+x^4+8*x^3+11*x^2+8*x+3', 'y^2=14*x^6+10*x^5+12*x^4+x^3+4*x^2+3*x+15', 'y^2=6*x^6+2*x^5+6*x^4+11*x^3+4*x^2+10*x+12', 'y^2=2*x^5+16*x^4+3*x^2+x', 'y^2=5*x^6+6*x^5+14*x^4+6*x^3+8*x^2+13*x+1', 'y^2=8*x^6+11*x^5+2*x^4+11*x^3+x+14', 'y^2=13*x^6+x^5+9*x^4+x^3+16*x^2+15*x+8', 'y^2=5*x^6+3*x^5+10*x^4+3*x^3+14*x^2+11*x+7', 'y^2=8*x^6+9*x^5+6*x^4+3*x^3+8*x^2+16*x+7', 'y^2=13*x^6+7*x^5+5*x^4+13*x^3+3*x^2+5*x+3', 'y^2=3*x^6+9*x^5+7*x^3+2*x^2+8*x+7', 'y^2=9*x^6+10*x^5+4*x^3+6*x^2+7*x+4', 'y^2=15*x^6+x^5+11*x^4+14*x^3+4*x^2+8*x+5', 'y^2=14*x^5+6*x^4+6*x^3+4*x^2+10*x', 'y^2=6*x^6+13*x^5+2*x^4+7*x^3+12*x^2+12*x+4', 'y^2=x^6+5*x^5+6*x^4+4*x^3+2*x^2+2*x+12', 'y^2=10*x^6+7*x^5+15*x^4+8*x^3+15*x^2+10*x+14', 'y^2=x^6+x^3+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': 7, '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': ['2.0.15.1'], 'geometric_splitting_field': '2.0.15.1', 'geometric_splitting_polynomials': [[4, -1, 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': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.17.a_ao', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.3600.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -14, 0, 289], 'poly_str': '1 0 -14 0 289 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, 0, -48], 'simple_distinct': ['2.17.a_ao'], 'simple_factors': ['2.17.a_aoA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F+7'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3600.1', 'splitting_polynomials': [[4, 0, 1, 0, 1]], 'twist_count': 4, 'twists': [['2.17.a_o', '2.83521.bdk_ruze', 4], ['2.17.am_cn', '2.582622237229761.agsymqu_toxctwprsdy', 12], ['2.17.m_cn', '2.582622237229761.agsymqu_toxctwprsdy', 12]], 'weak_equivalence_count': 7, 'zfv_index': 64, 'zfv_index_factorization': [[2, 6]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 400, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F+7']}
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av_fq_endalg_factors • Show schema
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id: 10779
{'base_label': '2.17.a_ao', 'extension_degree': 1, 'extension_label': '2.17.a_ao', 'multiplicity': 1}
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id: 10780
{'base_label': '2.17.a_ao', 'extension_degree': 2, 'extension_label': '1.289.ao', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.3600.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.a_ao', 'galois_group': '4T2', 'places': [['0', '12', '0', '1'], ['0', '6', '0', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.15.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.289.ao', 'galois_group': '2T1', 'places': [['5', '1'], ['11', '1']]}
