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av_fq_isog • Show schema
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{'abvar_count': 9, 'abvar_counts': [9, 405, 1053, 2025, 44649, 426465, 1880433, 11390625, 126584289, 1215569025], 'abvar_counts_str': '9 405 1053 2025 44649 426465 1880433 11390625 126584289 1215569025 ', 'angle_rank': 0, 'angles': [0.25, 0.5, 0.5], 'center_dim': 4, 'curve_count': 1, 'curve_counts': [1, 13, 13, 9, 41, 97, 113, 161, 481, 1153], 'curve_counts_str': '1 13 13 9 41 97 113 161 481 1153 ', 'curves': [], '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': 1, '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': 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': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'jacobian_count': 0, 'label': '3.2.ac_g_ai', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'number_fields': ['2.0.4.1', '2.0.8.1'], 'p': 2, 'p_rank': 0, 'p_rank_deficit': 3, 'poly': [1, -2, 6, -8, 12, -8, 8], 'poly_str': '1 -2 6 -8 12 -8 8 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, -2], 'simple_distinct': ['1.2.ac', '1.2.a'], 'simple_factors': ['1.2.acA', '1.2.aA', '1.2.aB'], 'simple_multiplicities': [1, 2], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D', '1/2E', '1/2F'], 'splitting_field': '4.0.256.1', 'splitting_polynomials': [[1, 0, 0, 0, 1]], 'twist_count': 25, 'twists': [['3.2.c_g_i', '3.4.i_bc_cm', 2], ['3.2.ac_a_e', '3.8.e_y_cm', 3], ['3.2.ac_ac_i', '3.16.ai_aq_jw', 4], ['3.2.c_ac_ai', '3.16.ai_aq_jw', 4], ['3.2.c_a_ae', '3.64.bg_rg_gbo', 6], ['3.2.ag_s_abg', '3.256.ads_frs_aereu', 8], ['3.2.ae_k_aq', '3.256.ads_frs_aereu', 8], ['3.2.ac_c_a', '3.256.ads_frs_aereu', 8], ['3.2.a_ac_a', '3.256.ads_frs_aereu', 8], ['3.2.a_c_a', '3.256.ads_frs_aereu', 8], ['3.2.a_g_a', '3.256.ads_frs_aereu', 8], ['3.2.c_c_a', '3.256.ads_frs_aereu', 8], ['3.2.e_k_q', '3.256.ads_frs_aereu', 8], ['3.2.g_s_bg', '3.256.ads_frs_aereu', 8], ['3.2.ac_e_ae', '3.4096.aey_agbo_chrdw', 12], ['3.2.c_e_e', '3.4096.aey_agbo_chrdw', 12], ['3.2.ae_i_am', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.ac_e_ai', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.ac_e_ae', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.a_a_ae', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.a_a_a', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.a_a_e', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.a_e_a', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.c_e_i', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.e_i_m', '3.16777216.abkjg_veshnc_agpdbywrmu', 24]]}
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av_fq_endalg_factors • Show schema
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id: 1361555
{'base_label': '3.2.ac_g_ai', 'extension_degree': 1, 'extension_label': '1.2.ac', 'multiplicity': 1}
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id: 1361556
{'base_label': '3.2.ac_g_ai', 'extension_degree': 1, 'extension_label': '1.2.a', 'multiplicity': 2}
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id: 1361557
{'base_label': '3.2.ac_g_ai', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 1}
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id: 1361558
{'base_label': '3.2.ac_g_ai', 'extension_degree': 2, 'extension_label': '1.4.e', 'multiplicity': 2}
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id: 1361559
{'base_label': '3.2.ac_g_ai', 'extension_degree': 4, 'extension_label': '1.16.ai', 'multiplicity': 2}
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id: 1361560
{'base_label': '3.2.ac_g_ai', 'extension_degree': 4, 'extension_label': '1.16.i', 'multiplicity': 1}
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id: 1361561
{'base_label': '3.2.ac_g_ai', 'extension_degree': 8, 'extension_label': '1.256.abg', 'multiplicity': 3}
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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'], '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': '1.4.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']]}