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av_fq_isog • Show schema
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{'abvar_count': 427, 'abvar_counts': [427, 264313, 142945936, 78266515369, 41399206944907, 21908523113478400, 11592887979375811003, 6132568541595182982729, 3244144462078119995916304, 1716156044219198474457306553], 'abvar_counts_str': '427 264313 142945936 78266515369 41399206944907 21908523113478400 11592887979375811003 6132568541595182982729 3244144462078119995916304 1716156044219198474457306553 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0297380745306707, 0.696404741197337], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 20, 'curve_counts': [20, 500, 11744, 279684, 6432100, 147994670, 3404840620, 78310450564, 1801149081632, 41426516352500], 'curve_counts_str': '20 500 11744 279684 6432100 147994670 3404840620 78310450564 1801149081632 41426516352500 ', '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': 2, 'geometric_extension_degree': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.19.1'], 'geometric_splitting_field': '2.0.19.1', 'geometric_splitting_polynomials': [[5, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': -1, 'has_principal_polarization': -1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '2.23.ae_ah', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.3249.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 3]], 'poly': [1, -4, -7, -92, 529], 'poly_str': '1 -4 -7 -92 529 ', 'primitive_models': [], 'principal_polarization_count': 0, 'q': 23, 'real_poly': [1, -4, -53], 'simple_distinct': ['2.23.ae_ah'], 'simple_factors': ['2.23.ae_ahA'], 'simple_multiplicities': [1], 'singular_primes': ['2,5*F-9*V+31', '7,-2*F-3*V+13'], 'size': 8, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3249.1', 'splitting_polynomials': [[25, -5, -4, -1, 1]], 'twist_count': 6, 'twists': [['2.23.e_ah', '2.529.abe_oh', 2], ['2.23.i_ck', '2.12167.aqi_dymo', 3], ['2.23.ai_ck', '2.148035889.acizk_cirkzco', 6], ['2.23.a_be', '2.148035889.acizk_cirkzco', 6], ['2.23.a_abe', '2.21914624432020321.avrhaeu_qlvddfrfmrry', 12]], 'weak_equivalence_count': 4, 'zfv_index': 28, 'zfv_index_factorization': [[2, 2], [7, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 3, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 49, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,5*F-9*V+31', '7,-2*F-3*V+13']}
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av_fq_endalg_factors • Show schema
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id: 13615
{'base_label': '2.23.ae_ah', 'extension_degree': 1, 'extension_label': '2.23.ae_ah', 'multiplicity': 1}
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id: 13616
{'base_label': '2.23.ae_ah', 'extension_degree': 3, 'extension_label': '1.12167.aie', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.3249.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.ae_ah', 'galois_group': '4T2', 'places': [['2', '6', '19', '22'], ['1', '22', '21', '11']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.19.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.12167.aie', 'galois_group': '2T1', 'places': [['10', '1'], ['12', '1']]}