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av_fq_isog • Show schema
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{'abvar_count': 9, 'abvar_counts': [9, 81, 756, 9801, 58689, 571536, 4787001, 41409225, 387381204, 3444398721], 'abvar_counts_str': '9 81 756 9801 58689 571536 4787001 41409225 387381204 3444398721 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.223349810480943, 0.776650189519057], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 4, 'curve_counts': [4, 8, 28, 116, 244, 782, 2188, 6308, 19684, 58328], 'curve_counts_str': '4 8 28 116 244 782 2188 6308 19684 58328 ', 'curves': ['y^2=x^6+2*x^5+x^4+x^3+2*x^2+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': ['4T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.35.1'], 'geometric_splitting_field': '2.0.35.1', 'geometric_splitting_polynomials': [[9, -1, 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': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 1, 'label': '2.3.a_ab', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.19600.1'], 'p': 3, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -1, 0, 9], 'poly_str': '1 0 -1 0 9 ', 'primitive_models': [], 'q': 3, 'real_poly': [1, 0, -7], 'simple_distinct': ['2.3.a_ab'], 'simple_factors': ['2.3.a_abA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.19600.1', 'splitting_polynomials': [[9, 0, -1, 0, 1]], 'twist_count': 2, 'twists': [['2.3.a_b', '2.81.bi_rj', 4]], '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': 25, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 6501
{'base_label': '2.3.a_ab', 'extension_degree': 1, 'extension_label': '2.3.a_ab', 'multiplicity': 1}
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id: 6502
{'base_label': '2.3.a_ab', 'extension_degree': 2, 'extension_label': '1.9.ab', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.19600.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.a_ab', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['2', '1', '0', '0'], ['1', '8/3', '0', '1/3'], ['2', '8/3', '0', '1/3']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.35.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.9.ab', 'galois_group': '2T1', 'places': [['2', '1'], ['0', '1']]}
