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av_fq_isog • Show schema
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{'abvar_count': 15, 'abvar_counts': [15, 45, 45, 225, 825, 5265, 18705, 50625, 279585, 1116225], 'abvar_counts_str': '15 45 45 225 825 5265 18705 50625 279585 1116225 ', 'angle_rank': 0, 'angles': [0.5, 0.75], 'center_dim': 4, 'curve_count': 5, 'curve_counts': [5, 9, 5, 17, 25, 81, 145, 193, 545, 1089], 'curve_counts_str': '5 9 5 17 25 81 145 193 545 1089 ', 'curves': ['y^2+y=x^5+x^4'], '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, 'g': 2, 'galois_groups': ['2T1', '2T1'], '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': 1, 'geometric_extension_degree': 8, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 1, 'label': '2.2.c_e', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'number_fields': ['2.0.8.1', '2.0.4.1'], 'p': 2, 'p_rank': 0, 'p_rank_deficit': 2, 'pic_prime_gens': [], 'poly': [1, 2, 4, 4, 4], 'poly_str': '1 2 4 4 4 ', 'primitive_models': [], 'principal_polarization_count': 0, 'q': 2, 'real_poly': [1, 2], 'simple_distinct': ['1.2.a', '1.2.c'], 'simple_factors': ['1.2.aA', '1.2.cA'], 'simple_multiplicities': [1, 1], 'size': 3, 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '4.0.256.1', 'splitting_polynomials': [[1, 0, 0, 0, 1]], 'twist_count': 11, 'twists': [['2.2.ac_e', '2.4.e_i', 2], ['2.2.ae_i', '2.256.acm_chc', 8], ['2.2.a_ae', '2.256.acm_chc', 8], ['2.2.a_a', '2.256.acm_chc', 8], ['2.2.a_e', '2.256.acm_chc', 8], ['2.2.e_i', '2.256.acm_chc', 8], ['2.2.ac_c', '2.16777216.ayge_imhifg', 24], ['2.2.a_ac', '2.16777216.ayge_imhifg', 24], ['2.2.a_c', '2.16777216.ayge_imhifg', 24], ['2.2.c_c', '2.16777216.ayge_imhifg', 24]], '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': 32}
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av_fq_endalg_factors • Show schema
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id: 6417
{'base_label': '2.2.c_e', 'extension_degree': 1, 'extension_label': '1.2.a', 'multiplicity': 1}
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id: 6418
{'base_label': '2.2.c_e', 'extension_degree': 1, 'extension_label': '1.2.c', 'multiplicity': 1}
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id: 6419
{'base_label': '2.2.c_e', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 1}
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id: 6420
{'base_label': '2.2.c_e', 'extension_degree': 2, 'extension_label': '1.4.e', 'multiplicity': 1}
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id: 6421
{'base_label': '2.2.c_e', 'extension_degree': 4, 'extension_label': '1.16.ai', 'multiplicity': 1}
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id: 6422
{'base_label': '2.2.c_e', 'extension_degree': 4, 'extension_label': '1.16.i', 'multiplicity': 1}
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id: 6423
{'base_label': '2.2.c_e', 'extension_degree': 8, 'extension_label': '1.256.abg', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.a', 'galois_group': '2T1', 'places': [['0', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.c', 'galois_group': '2T1', 'places': [['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.a', 'galois_group': '2T1', 'places': [['1', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.4.e', 'galois_group': '1T1', 'places': [['0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.16.ai', 'galois_group': '1T1', 'places': [['0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.16.i', 'galois_group': '1T1', 'places': [['0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.256.abg', 'galois_group': '1T1', 'places': [['0']]}