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av_fq_isog • Show schema
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{'abvar_count': 168, 'abvar_counts': [168, 20160, 1696968, 209664000, 26066910408, 3141902312640, 379605316715688, 45948288282624000, 5560003340855826408, 672750020818431864000], 'abvar_counts_str': '168 20160 1696968 209664000 26066910408 3141902312640 379605316715688 45948288282624000 5560003340855826408 672750020818431864000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.5, 0.597491114521068], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 14, 'curve_counts': [14, 162, 1274, 14318, 161854, 1773522, 19479754, 214352158, 2357984174, 25937425602], 'curve_counts_str': '14 162 1274 14318 161854 1773522 19479754 214352158 2357984174 25937425602 ', 'curves': ['y^2=8*x^6+8*x^5+x^3+6*x+7', 'y^2=5*x^6+3*x^5+4*x^4+8*x^3+4*x^2+3*x+5', 'y^2=9*x^6+2*x^5+6*x^4+10*x^2+8*x+5', 'y^2=3*x^6+3*x^5+x^4+6*x^3+x^2+3*x+3', 'y^2=9*x^6+10*x^5+8*x^4+6*x^2+7*x+5', 'y^2=8*x^6+3*x^5+8*x^4+x^3+8*x^2+3*x+8', 'y^2=3*x^5+5*x^4+5*x^3+x^2+x', 'y^2=9*x^6+6*x^5+2*x^4+4*x^3+2*x^2+6*x+9', 'y^2=3*x^6+5*x^5+8*x^4+4*x^3+6*x^2+9*x+9', 'y^2=10*x^6+9*x^5+x^4+6*x^3+x^2+9*x+10', 'y^2=6*x^5+8*x^4+10*x^3+2*x^2+10*x', 'y^2=6*x^6+2*x^5+3*x^4+2*x^3+3*x^2+2*x+6'], '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': 4, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 3, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.40.1'], 'geometric_splitting_field': '2.0.40.1', 'geometric_splitting_polynomials': [[10, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.11.c_w', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 1, 'number_fields': ['2.0.11.1', '2.0.40.1'], 'p': 11, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, 2, 22, 22, 121], 'poly_str': '1 2 22 22 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, 2], 'simple_distinct': ['1.11.a', '1.11.c'], 'simple_factors': ['1.11.aA', '1.11.cA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-F+7'], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.193600.3', 'splitting_polynomials': [[59, -26, 27, -2, 1]], 'twist_count': 2, 'twists': [['2.11.ac_w', '2.121.bo_yo', 2]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1760, '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: 8831
{'base_label': '2.11.c_w', 'extension_degree': 1, 'extension_label': '1.11.a', 'multiplicity': 1}
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id: 8832
{'base_label': '2.11.c_w', 'extension_degree': 1, 'extension_label': '1.11.c', 'multiplicity': 1}
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id: 8833
{'base_label': '2.11.c_w', 'extension_degree': 2, 'extension_label': '1.121.s', 'multiplicity': 1}
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id: 8834
{'base_label': '2.11.c_w', 'extension_degree': 2, 'extension_label': '1.121.w', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.a', 'galois_group': '2T1', 'places': [['5', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.40.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.c', 'galois_group': '2T1', 'places': [['1', '1'], ['10', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.40.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.121.s', 'galois_group': '2T1', 'places': [['10', '1'], ['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.121.w', 'galois_group': '1T1', 'places': [['0']]}
