{"id":"W4392375630","doi":"10.5802/jtnb.1266","title":"The size function for imaginary cyclic sextic fields","year":2024,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Fundamental Research Funds for the Central Universities; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; The Imaginary; Function (biology); Function field; Pure mathematics; Mathematics education; Algebra over a field; Field (mathematics)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005831996,0.0004059184,0.0003464886,0.001876974,0.0007907814,0.001355628,0.0005203092,0.000544179,0.003901614],"category_scores_gemma":[0.004083997,0.000163039,0.0002693471,0.0006753229,0.002358647,0.003498084,0.001037851,0.0006477173,0.0002394868],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001158807,"about_ca_system_score_gemma":0.0002953607,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007212208,"about_ca_topic_score_gemma":0.0003586747,"domain_scores_codex":[0.9996715,0.00007065849,0.00001144697,0.00006197618,0.0001046391,0.00007984133],"domain_scores_gemma":[0.9975153,0.001489919,0.0004052833,0.0001347029,0.0001728605,0.0002819349],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001481461,0.00003657976,0.009648059,0.0001289029,0.00001180671,0.0002417181,0.0006303378,0.006014643,0.005671883,0.960526,0.00138507,0.01555683],"study_design_scores_gemma":[0.00005013112,0.0001391017,0.0119216,0.00007829865,0.00002562958,0.001097242,0.0006778039,0.06945395,0.01063249,0.8959061,0.009948242,0.00006938921],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9625863,0.0009007608,0.01246323,0.0009536086,0.00004634705,0.00001065318,0.00007588773,0.00008028041,0.02288278],"genre_scores_gemma":[0.9969421,0.0002210756,0.000908401,0.00002261309,0.00006200936,0.000008560422,0.00005385222,0.00001293965,0.001768374],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003901614,"threshold_uncertainty_score":0.01305217,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01796105502108296,"score_gpt":0.3070290651987055,"score_spread":0.2890680101776225,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}