{"id":"W2951904279","doi":"10.48550/arxiv.1306.3967","title":"Generalized Artin-Schreier polynomials","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Indecomposable module; Irreducibility; Tensor product; Field (mathematics); Polynomial; Irreducible polynomial; Combinatorics; Pure mathematics; Finite field; Galois group; Product (mathematics); Discrete mathematics; Algebra over a field; Matrix polynomial; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005325897,0.0004947635,0.0007111068,0.0002677671,0.0001688776,0.0000765021,0.0008949799,0.000619529,0.004369096],"category_scores_gemma":[0.0002266982,0.0005338087,0.0004441749,0.0003419656,0.0001864476,0.0001818617,0.001169963,0.0007544894,0.00139141],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000159785,"about_ca_system_score_gemma":0.0001313863,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001252184,"about_ca_topic_score_gemma":0.00001044649,"domain_scores_codex":[0.9977105,0.0003297407,0.0003895185,0.0009328408,0.0001109644,0.0005264357],"domain_scores_gemma":[0.9973376,0.000382144,0.000469951,0.001389471,0.0001565685,0.0002642329],"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":[0.0001158009,0.000216384,0.0008871966,0.0002733066,0.0004619041,0.000183858,0.0002740448,0.002159237,0.0002560795,0.9736004,0.02139162,0.0001801639],"study_design_scores_gemma":[0.000812222,0.00002678217,0.0001951315,0.00009859118,0.0003054613,0.000007578417,0.0001540537,0.002240805,0.00145791,0.9913619,0.002636684,0.0007028349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9681311,0.00008278491,0.009783487,0.00009163086,0.0007388993,0.0005275434,0.00003026405,0.0003051179,0.02030919],"genre_scores_gemma":[0.9519977,0.00006866283,0.001509255,0.0001683653,0.0003236513,0.000003555499,0.00002774331,0.00006614643,0.04583493],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02552574,"threshold_uncertainty_score":0.9997113,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1088392835422635,"score_gpt":0.221122020227335,"score_spread":0.1122827366850716,"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."}}