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av_fq_isog • Show schema
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{'abvar_count': 28, 'abvar_counts': [28, 1344, 50764, 1876224, 69360508, 2565815616, 94932156844, 3512478950400, 129961724410588, 4808584237203264], 'abvar_counts_str': '28 1344 50764 1876224 69360508 2565815616 94932156844 3512478950400 129961724410588 4808584237203264 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.19286113307749], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 28, 'curve_counts': [28, 1344, 50764, 1876224, 69360508, 2565815616, 94932156844, 3512478950400, 129961724410588, 4808584237203264], 'curve_counts_str': '28 1344 50764 1876224 69360508 2565815616 94932156844 3512478950400 129961724410588 4808584237203264 ', 'curves': ['y^2=x^3+7*x+7', 'y^2=x^3+4*x+8', 'y^2=x^3+14*x+28', 'y^2=x^3+6'], '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': 3, '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': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -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': 4, 'label': '1.37.ak', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.3.1'], 'p': 37, 'p_rank': 1, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2]], 'poly': [1, -10, 37], 'poly_str': '1 -10 37 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 37, 'real_poly': [1, -10], 'simple_distinct': ['1.37.ak'], 'simple_factors': ['1.37.akA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-1'], 'size': 4, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 6, 'twists': [['1.37.k', '1.1369.aba', 2], ['1.37.ab', '1.50653.eg', 3], ['1.37.l', '1.50653.eg', 3], ['1.37.al', '1.2565726409.fbza', 6], ['1.37.b', '1.2565726409.fbza', 6]], 'weak_equivalence_count': 3, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 2, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 48, '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': '1.37.ak', 'extension_degree': 1, 'extension_label': '1.37.ak', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.ak', 'galois_group': '2T1', 'places': [['26', '1'], ['10', '1']]}
