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av_fq_isog • Show schema
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{'abvar_count': 43, 'abvar_counts': [43, 1849, 118336, 6007401, 282458443, 14003408896, 678222249307, 33260630443209, 1628413678617664, 79782772021984249], 'abvar_counts_str': '43 1849 118336 6007401 282458443 14003408896 678222249307 33260630443209 1628413678617664 79782772021984249 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.166666666666667, 0.833333333333333], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 8, 'curve_counts': [8, 36, 344, 2500, 16808, 119022, 823544, 5769604, 40353608, 282441636], 'curve_counts_str': '8 36 344 2500 16808 119022 823544 5769604 40353608 282441636 ', 'curves': [], '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': 4, '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': 1, 'geometric_extension_degree': 6, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': -1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 0, 'label': '2.7.a_ah', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'newton_coelevation': 0, 'newton_elevation': 2, 'noncyclic_primes': [], 'number_fields': ['4.0.441.1'], 'p': 7, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, -7, 0, 49], 'poly_str': '1 0 -7 0 49 ', 'primitive_models': [], 'q': 7, 'real_poly': [1, 0, -21], 'simple_distinct': ['2.7.a_ah'], 'simple_factors': ['2.7.a_ahA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F+V-3', '7,-4*V,16*F'], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '4.0.441.1', 'splitting_polynomials': [[4, -2, -1, -1, 1]], 'twist_count': 5, 'twists': [['2.7.a_o', '2.343.a_bak', 3], ['2.7.a_h', '2.2401.du_krb', 4], ['2.7.a_ao', '2.13841287201.abaudw_kivtfxog', 12], ['2.7.a_a', '2.191581231380566414401.agxfvmpse_rvhmlbnwbxgutcg', 24]], 'weak_equivalence_count': 4, 'zfv_index': 28, 'zfv_index_factorization': [[2, 2], [7, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 49, 'zfv_singular_count': 5, 'zfv_singular_primes': ['2,F+V-3', '7,-4*V,16*F']}
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av_fq_endalg_factors • Show schema
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id: 7226
{'base_label': '2.7.a_ah', 'extension_degree': 1, 'extension_label': '2.7.a_ah', 'multiplicity': 1}
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id: 7227
{'base_label': '2.7.a_ah', 'extension_degree': 2, 'extension_label': '2.49.ao_fr', 'multiplicity': 1}
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id: 7228
{'base_label': '2.7.a_ah', 'extension_degree': 3, 'extension_label': '1.343.a', 'multiplicity': 2}
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id: 7229
{'base_label': '2.7.a_ah', 'extension_degree': 6, 'extension_label': '1.117649.bak', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.441.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.7.a_ah', 'galois_group': '4T2', 'places': [['2', '1', '0', '0'], ['1', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2', '1/2'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 4, 'extension_label': '2.49.ao_fr', 'galois_group': '2T1', 'places': [['2', '1'], ['4', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.343.a', 'galois_group': '2T1', 'places': [['3', '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': '1.117649.bak', 'galois_group': '1T1', 'places': [['0']]}
