{"id":"W2165225265","doi":"10.1016/j.jsc.2005.05.009","title":"Computation of unirational fields","year":2006,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Factoring; Algebraic number; Algebra over a field; Field (mathematics); Computation; Extension (predicate logic); Field extension; Zero (linguistics); Pure mathematics; Algorithm; Computer science; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001206216,0.0004933674,0.0006537854,0.001236035,0.001042252,0.002302115,0.001057919,0.0005293486,0.01060417],"category_scores_gemma":[0.003747161,0.0002923991,0.0007129065,0.00126154,0.001609555,0.005453755,0.001729716,0.001171645,0.001191969],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001247937,"about_ca_system_score_gemma":0.000674238,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008219222,"about_ca_topic_score_gemma":0.001691962,"domain_scores_codex":[0.9993554,0.0001595581,0.0000467941,0.0001356555,0.0001684914,0.0001341486],"domain_scores_gemma":[0.9986388,0.000654152,0.0001086981,0.000306048,0.0002010993,0.00009122239],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0003295247,0.00007012982,0.00129649,0.000199932,0.00002553605,0.0001800831,0.0004490681,0.008463919,0.003908451,0.9059788,0.003291793,0.07580635],"study_design_scores_gemma":[0.00004221936,0.00006004627,0.0004301248,0.000046495,0.00002804239,0.0001455473,0.0001211907,0.03159548,0.007818716,0.950029,0.009655645,0.00002752204],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.6326554,0.001886101,0.2492304,0.0012657,0.0004361343,0.00009135859,0.0004443984,0.001669694,0.1123208],"genre_scores_gemma":[0.9308961,0.000374648,0.05658419,0.0001360268,0.0001215418,0.00002361426,0.0002772286,0.000152914,0.01143372],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.01060417,"threshold_uncertainty_score":0.03547448,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0104097150885805,"score_gpt":0.241924457263254,"score_spread":0.2315147421746735,"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."}}