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av_fq_isog • Show schema
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{'abvar_count': 19, 'abvar_counts': [19, 551, 4636, 60059, 1036849, 16671056, 265686139, 4317100979, 69137924356, 1098436793751], 'abvar_counts_str': '19 551 4636 60059 1036849 16671056 265686139 4317100979 69137924356 1098436793751 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.367442607140058, 0.549379399016239], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 4, 'curve_counts': [4, 30, 73, 234, 1014, 4071, 16216, 65874, 263737, 1047550], 'curve_counts_str': '4 30 73 234 1014 4071 16216 65874 263737 1047550 ', 'curves': ['y^2+(x^3+a+1)*y=(a+1)*x^6+(a+1)*x^4+x^3+a*x+a', 'y^2+(x^3+a)*y=a*x^6+a*x^4+x^3+(a+1)*x+a+1'], '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': ['4.0.5225.1'], 'geometric_splitting_field': '4.0.5225.1', 'geometric_splitting_polynomials': [[16, -4, 7, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, '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': 2, 'label': '2.4.ab_h', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.5225.1'], 'p': 2, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -1, 7, -4, 16], 'poly_str': '1 -1 7 -4 16 ', 'primitive_models': [], 'q': 4, 'real_poly': [1, -1, -1], 'simple_distinct': ['2.4.ab_h'], 'simple_factors': ['2.4.ab_hA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.5225.1', 'splitting_polynomials': [[16, -4, 7, -1, 1]], 'twist_count': 2, 'twists': [['2.4.b_h', '2.16.n_cv', 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': 209, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.4.ab_h', 'extension_degree': 1, 'extension_label': '2.4.ab_h', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.5225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.4.ab_h', 'galois_group': '4T3', 'places': [['1', '7/4', '7/4', '1/4'], ['0', '1', '0', '0']]}
