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av_fq_isog • Show schema
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{'abvar_count': 4, 'abvar_counts': [4, 200, 676, 10000, 73964, 236600, 1481204, 14580000, 117531388, 1017005000], 'abvar_counts_str': '4 200 676 10000 73964 236600 1481204 14580000 117531388 1017005000 ', 'angle_rank': 1, 'angles': [0.25, 0.25, 0.615026728081308], 'center_dim': 4, 'curve_count': 0, 'curve_counts': [0, 8, 12, 32, 60, 56, 84, 224, 444, 968], 'curve_counts_str': '0 8 12 32 60 56 84 224 444 968 ', 'curves': ['y^2+(x^4+x^2+1)*y=x^8+x+1'], 'dim1_distinct': 2, 'dim1_factors': 3, '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': 3, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 3, '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': 4, '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': 1, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'jacobian_count': 1, 'label': '3.2.ad_g_ai', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'number_fields': ['2.0.4.1', '2.0.7.1'], 'p': 2, 'p_rank': 1, 'p_rank_deficit': 2, 'poly': [1, -3, 6, -8, 12, -12, 8], 'poly_str': '1 -3 6 -8 12 -12 8 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, -3, 0, 4], 'simple_distinct': ['1.2.ac', '1.2.b'], 'simple_factors': ['1.2.acA', '1.2.acB', '1.2.bA'], 'simple_multiplicities': [2, 1], 'slopes': ['0A', '1/2A', '1/2B', '1/2C', '1/2D', '1A'], 'splitting_field': '4.0.784.1', 'splitting_polynomials': [[4, 0, -3, 0, 1]], 'twist_count': 22, 'twists': [['3.2.af_o_ay', '3.4.d_m_y', 2], ['3.2.ab_c_a', '3.4.d_m_y', 2], ['3.2.b_c_a', '3.4.d_m_y', 2], ['3.2.d_g_i', '3.4.d_m_y', 2], ['3.2.f_o_y', '3.4.d_m_y', 2], ['3.2.d_g_k', '3.8.d_a_abg', 3], ['3.2.af_o_ay', '3.16.p_ds_qa', 4], ['3.2.ad_g_ak', '3.64.aj_hk_absi', 6], ['3.2.ab_c_ag', '3.64.aj_hk_absi', 6], ['3.2.b_c_g', '3.64.aj_hk_absi', 6], ['3.2.ad_i_am', '3.256.abh_ahk_vzc', 8], ['3.2.ab_ac_e', '3.256.abh_ahk_vzc', 8], ['3.2.ab_e_ae', '3.256.abh_ahk_vzc', 8], ['3.2.ab_g_ae', '3.256.abh_ahk_vzc', 8], ['3.2.b_ac_ae', '3.256.abh_ahk_vzc', 8], ['3.2.b_e_e', '3.256.abh_ahk_vzc', 8], ['3.2.b_g_e', '3.256.abh_ahk_vzc', 8], ['3.2.d_i_m', '3.256.abh_ahk_vzc', 8], ['3.2.ab_a_c', '3.16777216.apkb_bqmqmi_gnztlohk', 24], ['3.2.ab_e_ac', '3.16777216.apkb_bqmqmi_gnztlohk', 24], ['3.2.b_a_ac', '3.16777216.apkb_bqmqmi_gnztlohk', 24], ['3.2.b_e_c', '3.16777216.apkb_bqmqmi_gnztlohk', 24]]}
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av_fq_endalg_factors • Show schema
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id: 1361543
{'base_label': '3.2.ad_g_ai', 'extension_degree': 1, 'extension_label': '1.2.ac', 'multiplicity': 2}
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id: 1361544
{'base_label': '3.2.ad_g_ai', 'extension_degree': 1, 'extension_label': '1.2.b', 'multiplicity': 1}
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id: 1361545
{'base_label': '3.2.ad_g_ai', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 2}
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id: 1361546
{'base_label': '3.2.ad_g_ai', 'extension_degree': 2, 'extension_label': '1.4.d', 'multiplicity': 1}
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id: 1361547
{'base_label': '3.2.ad_g_ai', 'extension_degree': 4, 'extension_label': '1.16.ab', 'multiplicity': 1}
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id: 1361548
{'base_label': '3.2.ad_g_ai', 'extension_degree': 4, 'extension_label': '1.16.i', 'multiplicity': 2}
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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.ac', 'galois_group': '2T1', 'places': [['1', '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': '1.2.b', 'galois_group': '2T1', 'places': [['0', '1'], ['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': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.d', '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', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.16.ab', 'galois_group': '2T1', 'places': [['0', '1'], ['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': '1.16.i', 'galois_group': '1T1', 'places': [['0']]}