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av_fq_isog • Show schema
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{'abvar_count': 81, 'abvar_counts': [81, 8019, 706644, 62748675, 5583968361, 496979898624, 44231330471409, 3936588889803075, 350356404858140916, 31181719932837096579], 'abvar_counts_str': '81 8019 706644 62748675 5583968361 496979898624 44231330471409 3936588889803075 350356404858140916 31181719932837096579 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.341724512740004], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 81, 'curve_counts': [81, 8019, 706644, 62748675, 5583968361, 496979898624, 44231330471409, 3936588889803075, 350356404858140916, 31181719932837096579], 'curve_counts_str': '81 8019 706644 62748675 5583968361 496979898624 44231330471409 3936588889803075 350356404858140916 31181719932837096579 ', 'curves': ['y^2=x^3+3*x+3', 'y^2=x^3+11*x+33', 'y^2=x^3+82*x+82', 'y^2=x^3+78*x+56', 'y^2=x^3+38*x+25'], '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': ['2.0.11.1'], 'geometric_splitting_field': '2.0.11.1', 'geometric_splitting_polynomials': [[3, -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': '1.89.aj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.11.1'], 'p': 89, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, -9, 89], 'poly_str': '1 -9 89 ', 'primitive_models': [], 'principal_polarization_count': 5, 'q': 89, 'real_poly': [1, -9], 'simple_distinct': ['1.89.aj'], 'simple_factors': ['1.89.ajA'], 'simple_multiplicities': [1], 'singular_primes': ['5,8*F-1'], 'size': 5, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.11.1', 'splitting_polynomials': [[3, -1, 1]], 'twist_count': 2, 'twists': [['1.89.j', '1.7921.dt', 2]], 'weak_equivalence_count': 2, 'zfv_index': 5, 'zfv_index_factorization': [[5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 275, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,8*F-1']}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.89.aj', 'extension_degree': 1, 'extension_label': '1.89.aj', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.89.aj', 'galois_group': '2T1', 'places': [['52', '1'], ['36', '1']]}
