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av_fq_isog • Show schema
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{'abvar_count': 36, 'abvar_counts': [36, 4536, 260604, 16447536, 1082818836, 69251343336, 4403912248044, 281437900380000, 18015412792860036, 1152981041856108696], 'abvar_counts_str': '36 4536 260604 16447536 1082818836 69251343336 4403912248044 281437900380000 18015412792860036 1152981041856108696 ', 'angle_rank': 1, 'angles': [0.154919815756076, 0.5], 'center_dim': 4, 'curve_count': 4, 'curve_counts': [4, 72, 508, 4016, 33044, 264168, 2099948, 16775008, 134225284, 1073797272], 'curve_counts_str': '4 72 508 4016 33044 264168 2099948 16775008 134225284 1073797272 ', 'curves': ['y^2+x*y=(a+1)*x^5+(a^2+a+1)*x^3+x', 'y^2+x*y=(a^2+a+1)*x^5+(a^2+1)*x^3+x', 'y^2+x*y=(a^2+1)*x^5+(a+1)*x^3+x'], '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': 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': 3, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': False, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 3, 'label': '2.8.af_q', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 8, 'number_fields': ['2.0.7.1', '2.0.8.1'], 'p': 2, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, -5, 16, -40, 64], 'poly_str': '1 -5 16 -40 64 ', 'primitive_models': ['2.2.b_e'], 'q': 8, 'real_poly': [1, -5], 'simple_distinct': ['1.8.af', '1.8.a'], 'simple_factors': ['1.8.afA', '1.8.aA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.3136.2', 'splitting_polynomials': [[2, -8, 9, -2, 1]], 'twist_count': 6, 'twists': [['2.8.f_q', '2.64.h_aq', 2], ['2.8.aj_bk', '2.16777216.adgz_abhvnie', 8], ['2.8.ab_ae', '2.16777216.adgz_abhvnie', 8], ['2.8.b_ae', '2.16777216.adgz_abhvnie', 8], ['2.8.j_bk', '2.16777216.adgz_abhvnie', 8]]}
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av_fq_endalg_factors • Show schema
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id: 7789
{'base_label': '2.8.af_q', 'extension_degree': 1, 'extension_label': '1.8.af', 'multiplicity': 1}
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id: 7790
{'base_label': '2.8.af_q', 'extension_degree': 1, 'extension_label': '1.8.a', 'multiplicity': 1}
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id: 7791
{'base_label': '2.8.af_q', 'extension_degree': 2, 'extension_label': '1.64.aj', 'multiplicity': 1}
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id: 7792
{'base_label': '2.8.af_q', 'extension_degree': 2, 'extension_label': '1.64.q', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.8.af', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]}
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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': '1.8.a', 'galois_group': '2T1', 'places': [['0', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.64.aj', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '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': '1.64.q', 'galois_group': '1T1', 'places': [['0']]}