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av_fq_isog • Show schema
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{'abvar_count': 11, 'abvar_counts': [11, 121, 704, 9801, 59411, 495616, 4778939, 41409225, 387459776, 3529666921], 'abvar_counts_str': '11 121 704 9801 59411 495616 4778939 41409225 387459776 3529666921 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.276650189519057, 0.723349810480943], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 4, 'curve_counts': [4, 12, 28, 116, 244, 678, 2188, 6308, 19684, 59772], 'curve_counts_str': '4 12 28 116 244 678 2188 6308 19684 59772 ', 'curves': ['y^2=2*x^6+x^5+2*x^4+x^2+x+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': 2, '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_b', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.1225.1'], '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, -5], 'simple_distinct': ['2.3.a_b'], 'simple_factors': ['2.3.a_bA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F+15*V+3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1225.1', 'splitting_polynomials': [[4, 2, 5, -1, 1]], 'twist_count': 2, 'twists': [['2.3.a_ab', '2.81.bi_rj', 4]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 49, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F+15*V+3']}
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av_fq_endalg_factors • Show schema
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id: 6496
{'base_label': '2.3.a_b', 'extension_degree': 1, 'extension_label': '2.3.a_b', 'multiplicity': 1}
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id: 6497
{'base_label': '2.3.a_b', 'extension_degree': 2, 'extension_label': '1.9.b', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.1225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3.a_b', 'galois_group': '4T2', 'places': [['8/3', '2/3', '5/3', '8/3'], ['1', '0', '1', '2']]}
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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.b', 'galois_group': '2T1', 'places': [['0', '1'], ['2', '1']]}
