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av_fq_isog • Show schema
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{'abvar_count': 46, 'abvar_counts': [46, 3404, 205114, 12118240, 714952286, 42180873644, 2488654593674, 146830461068160, 8662995963726286, 511116753947273804], 'abvar_counts_str': '46 3404 205114 12118240 714952286 42180873644 2488654593674 146830461068160 8662995963726286 511116753947273804 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.135062563049179], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 46, 'curve_counts': [46, 3404, 205114, 12118240, 714952286, 42180873644, 2488654593674, 146830461068160, 8662995963726286, 511116753947273804], 'curve_counts_str': '46 3404 205114 12118240 714952286 42180873644 2488654593674 146830461068160 8662995963726286 511116753947273804 ', 'curves': ['y^2=x^3+54*x+54', 'y^2=x^3+56*x+56'], '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': ['2.0.40.1'], 'geometric_splitting_field': '2.0.40.1', 'geometric_splitting_polynomials': [[10, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '1.59.ao', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.40.1'], 'p': 59, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, -14, 59], 'poly_str': '1 -14 59 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 59, 'real_poly': [1, -14], 'simple_distinct': ['1.59.ao'], 'simple_factors': ['1.59.aoA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 2, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.40.1', 'splitting_polynomials': [[10, 0, 1]], 'twist_count': 2, 'twists': [['1.59.o', '1.3481.ada', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 40, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.59.ao', 'extension_degree': 1, 'extension_label': '1.59.ao', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.40.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.ao', 'galois_group': '2T1', 'places': [['52', '1'], ['7', '1']]}