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av_fq_isog • Show schema
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{'abvar_count': 7, 'abvar_counts': [7, 161, 868, 6601, 69167, 558992, 4481687, 41408073, 388913476, 3501441041], 'abvar_counts_str': '7 161 868 6601 69167 558992 4481687 41408073 388913476 3501441041 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.254551732336309, 0.538152604670988], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 2, 'curve_counts': [2, 16, 32, 84, 282, 766, 2046, 6308, 19760, 59296], 'curve_counts_str': '2 16 32 84 282 766 2046 6308 19760 59296 ', 'curves': ['y^2=2*x^6+x^5+2*x^3+2*x^2+x+2'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.4672.2'], 'geometric_splitting_field': '4.0.4672.2', 'geometric_splitting_polynomials': [[7, -2, 5, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, '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': 1, 'label': '2.3.ac_f', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.4672.2'], 'p': 3, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, -2, 5, -6, 9], 'poly_str': '1 -2 5 -6 9 ', 'primitive_models': [], 'principal_polarization_count': 1, 'q': 3, 'real_poly': [1, -2, -1], 'simple_distinct': ['2.3.ac_f'], 'simple_factors': ['2.3.ac_fA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 1, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.4672.2', 'splitting_polynomials': [[7, -2, 5, -2, 1]], 'twist_count': 2, 'twists': [['2.3.c_f', '2.9.g_t', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 1, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 73, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.3.ac_f', 'extension_degree': 1, 'extension_label': '2.3.ac_f', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.4672.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.ac_f', 'galois_group': '4T3', 'places': [['2/3', '4/3', '8/3', '1/3'], ['2', '1', '0', '0']]}
