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av_fq_isog • Show schema
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{'abvar_count': 15, 'abvar_counts': [15, 945, 20160, 401625, 9628575, 243855360, 6107451015, 152251619625, 3808015968960, 95358161970225], 'abvar_counts_str': '15 945 20160 401625 9628575 243855360 6107451015 152251619625 3808015968960 95358161970225 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.26594214021463, 0.428216853435647], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 2, 'curve_counts': [2, 36, 158, 644, 3082, 15606, 78178, 389764, 1949702, 9764676], 'curve_counts_str': '2 36 158 644 3082 15606 78178 389764 1949702 9764676 ', 'curves': ['y^2=3*x^6+x^4+x^3+x^2+3', 'y^2=2*x^6+2*x^5+x^4+3*x^3+x^2+2*x+2', 'y^2=3*x^6+2*x^5+x^4+x^2+2*x+3'], 'dim1_distinct': 2, 'dim1_factors': 2, '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': 2, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.11.1', '2.0.19.1'], 'geometric_splitting_field': '4.0.43681.2', 'geometric_splitting_polynomials': [[4, 0, 15, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 3, 'label': '2.5.ae_n', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.11.1', '2.0.19.1'], 'p': 5, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -4, 13, -20, 25], 'poly_str': '1 -4 13 -20 25 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, -4, 3], 'simple_distinct': ['1.5.ad', '1.5.ab'], 'simple_factors': ['1.5.adA', '1.5.abA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-F^2-F+7'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.43681.2', 'splitting_polynomials': [[4, 0, 15, 0, 1]], 'twist_count': 4, 'twists': [['2.5.ac_h', '2.25.k_ch', 2], ['2.5.c_h', '2.25.k_ch', 2], ['2.5.e_n', '2.25.k_ch', 2]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 209, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F^2-F+7']}
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av_fq_endalg_factors • Show schema
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id: 7108
{'base_label': '2.5.ae_n', 'extension_degree': 1, 'extension_label': '1.5.ad', 'multiplicity': 1}
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id: 7109
{'base_label': '2.5.ae_n', 'extension_degree': 1, 'extension_label': '1.5.ab', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5.ad', 'galois_group': '2T1', 'places': [['3', '1'], ['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.19.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5.ab', 'galois_group': '2T1', 'places': [['4', '1'], ['0', '1']]}