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av_fq_isog • Show schema
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{'abvar_count': 51, 'abvar_counts': [51, 2295, 103428, 4876875, 229372041, 10779266160, 506621697423, 23811288541875, 1119130534345356, 52599131963736975], 'abvar_counts_str': '51 2295 103428 4876875 229372041 10779266160 506621697423 23811288541875 1119130534345356 52599131963736975 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.570213408101568], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 51, 'curve_counts': [51, 2295, 103428, 4876875, 229372041, 10779266160, 506621697423, 23811288541875, 1119130534345356, 52599131963736975], 'curve_counts_str': '51 2295 103428 4876875 229372041 10779266160 506621697423 23811288541875 1119130534345356 52599131963736975 ', 'curves': ['y^2=x^3+46*x+42', 'y^2=x^3+14*x+23', 'y^2=x^3+24*x+24', 'y^2=x^3+20*x+20', 'y^2=x^3+42*x+22'], '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': 1, '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': ['2.0.179.1'], 'geometric_splitting_field': '2.0.179.1', 'geometric_splitting_polynomials': [[45, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 5, 'label': '1.47.d', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.179.1'], 'p': 47, 'p_rank': 1, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 5]], 'poly': [1, 3, 47], 'poly_str': '1 3 47 ', 'primitive_models': [], 'principal_polarization_count': 5, 'q': 47, 'real_poly': [1, 3], 'simple_distinct': ['1.47.d'], 'simple_factors': ['1.47.dA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 5, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.179.1', 'splitting_polynomials': [[45, -1, 1]], 'twist_count': 2, 'twists': [['1.47.ad', '1.2209.dh', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 5, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 179, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.47.d', 'extension_degree': 1, 'extension_label': '1.47.d', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.179.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.47.d', 'galois_group': '2T1', 'places': [['1', '1'], ['45', '1']]}
