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av_fq_isog • Show schema
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{'abvar_count': 35, 'abvar_counts': [35, 1015, 29540, 922635, 28639625, 887499760, 27512301215, 852892097715, 26439628679660, 819628234555375], 'abvar_counts_str': '35 1015 29540 922635 28639625 887499760 27512301215 852892097715 26439628679660 819628234555375 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.586827998079711], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 35, 'curve_counts': [35, 1015, 29540, 922635, 28639625, 887499760, 27512301215, 852892097715, 26439628679660, 819628234555375], 'curve_counts_str': '35 1015 29540 922635 28639625 887499760 27512301215 852892097715 26439628679660 819628234555375 ', 'curves': ['y^2=x^3+16*x+16', 'y^2=x^3+22*x+4'], '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': ['2.0.115.1'], 'geometric_splitting_field': '2.0.115.1', 'geometric_splitting_polynomials': [[29, -1, 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': '1.31.d', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.115.1'], 'p': 31, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, 3, 31], 'poly_str': '1 3 31 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 31, 'real_poly': [1, 3], 'simple_distinct': ['1.31.d'], 'simple_factors': ['1.31.dA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 2, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.115.1', 'splitting_polynomials': [[29, -1, 1]], 'twist_count': 2, 'twists': [['1.31.ad', '1.961.cb', 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': 115, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.31.d', 'extension_degree': 1, 'extension_label': '1.31.d', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.115.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.31.d', 'galois_group': '2T1', 'places': [['1', '1'], ['29', '1']]}
