{"id":"W2315063775","doi":"10.4153/cmb-2001-040-0","title":"Exponents of Class Groups of Quadratic Function Fields over Finite Fields","year":2001,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Quadratic equation; Function field; Element (criminal law); Integer (computer science); Order (exchange); Prime (order theory); Class (philosophy); Quadratic function; Prime power; Function (biology); Finite field; Field (mathematics); Combinatorics; Pure mathematics; Discrete mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005414229,0.0001922735,0.0004600034,0.0001975607,0.00006314334,0.00001277682,0.0002447066,0.000276139,0.03514294],"category_scores_gemma":[0.001386897,0.0001779097,0.0001640966,0.0002595043,0.0001294473,0.00003955878,0.00003820272,0.0002352206,0.0007737845],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004923872,"about_ca_system_score_gemma":0.00008135047,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004057702,"about_ca_topic_score_gemma":0.0006248286,"domain_scores_codex":[0.9983908,0.0001036209,0.0006445512,0.0002055132,0.0002875036,0.0003680091],"domain_scores_gemma":[0.9976172,0.001307877,0.0001967294,0.0004911995,0.00008502501,0.0003019976],"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":[0.0001537976,0.0004388001,0.001031627,0.00137156,0.000210206,0.00006609641,0.001587678,0.00002134078,0.0001511123,0.961477,0.03200261,0.001488143],"study_design_scores_gemma":[0.000601212,0.0002154303,0.0006066752,0.0002936625,0.0001193679,0.00002725841,0.0005506583,0.000379692,0.0005515768,0.9860711,0.01029512,0.0002882348],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.931467,0.00005379438,0.02680307,0.001231197,0.0001661994,0.0002879555,0.00001676254,0.00003393164,0.03994009],"genre_scores_gemma":[0.994778,0.000008460083,0.0009059418,0.000433722,0.00006934649,0.0000172346,0.000006710641,0.00002596162,0.003754569],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06331105,"threshold_uncertainty_score":0.9945692,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02356459951174615,"score_gpt":0.2467905372452743,"score_spread":0.2232259377335282,"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."}}