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av_fq_isog • Show schema
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{'abvar_count': 72, 'abvar_counts': [72, 6912, 573048, 47471616, 3939095592, 326939929344, 27136041100632, 2252292150325248, 186940255106561544, 15516041192064652032], 'abvar_counts_str': '72 6912 573048 47471616 3939095592 326939929344 27136041100632 2252292150325248 186940255106561544 15516041192064652032 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.27115506353094], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 72, 'curve_counts': [72, 6912, 573048, 47471616, 3939095592, 326939929344, 27136041100632, 2252292150325248, 186940255106561544, 15516041192064652032], 'curve_counts_str': '72 6912 573048 47471616 3939095592 326939929344 27136041100632 2252292150325248 186940255106561544 15516041192064652032 ', 'curves': ['y^2=x^3+70*x+70', 'y^2=x^3+57*x+57', 'y^2=x^3+28*x+28', 'y^2=x^3+53*x+53', 'y^2=x^3+14*x+28', 'y^2=x^3+60*x+60', 'y^2=x^3+77*x+77', 'y^2=x^3+31*x+31', 'y^2=x^3+50*x+17', 'y^2=x^3+37*x+74'], 'dim1_distinct': 1, 'dim1_factors': 1, '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': 2, 'g': 1, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, '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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.47.1'], 'geometric_splitting_field': '2.0.47.1', 'geometric_splitting_polynomials': [[12, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 10, 'label': '1.83.am', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.47.1'], 'p': 83, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, -12, 83], 'poly_str': '1 -12 83 ', 'primitive_models': [], 'principal_polarization_count': 10, 'q': 83, 'real_poly': [1, -12], 'simple_distinct': ['1.83.am'], 'simple_factors': ['1.83.amA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-5'], 'size': 10, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.47.1', 'splitting_polynomials': [[12, -1, 1]], 'twist_count': 2, 'twists': [['1.83.m', '1.6889.w', 2]], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 188, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-5']}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.83.am', 'extension_degree': 1, 'extension_label': '1.83.am', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.47.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.83.am', 'galois_group': '2T1', 'places': [['38', '1'], ['44', '1']]}
