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av_fq_isog • Show schema
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{'abvar_count': 56, 'abvar_counts': [56, 4928, 357224, 25408768, 1804231576, 128100526400, 9095123880136, 645753573577728, 45848501131516664, 3255243554613393728], 'abvar_counts_str': '56 4928 357224 25408768 1804231576 128100526400 9095123880136 645753573577728 45848501131516664 3255243554613393728 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.101666819830837], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 56, 'curve_counts': [56, 4928, 357224, 25408768, 1804231576, 128100526400, 9095123880136, 645753573577728, 45848501131516664, 3255243554613393728], 'curve_counts_str': '56 4928 357224 25408768 1804231576 128100526400 9095123880136 645753573577728 45848501131516664 3255243554613393728 ', 'curves': ['y^2=x^3+12*x+13', 'y^2=x^3+35*x+35'], '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': ['2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'group_structure_count': 2, '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': '1.71.aq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.7.1'], 'p': 71, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, -16, 71], 'poly_str': '1 -16 71 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 71, 'real_poly': [1, -16], 'simple_distinct': ['1.71.aq'], 'simple_factors': ['1.71.aqA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-1'], 'size': 2, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.7.1', 'splitting_polynomials': [[2, -1, 1]], 'twist_count': 2, 'twists': [['1.71.q', '1.5041.aek', 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': 28, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-1']}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.71.aq', 'extension_degree': 1, 'extension_label': '1.71.aq', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.71.aq', 'galois_group': '2T1', 'places': [['31', '1'], ['39', '1']]}
