{"id":"W1995144890","doi":"10.4153/cmb-2002-017-8","title":"The Discriminant of a Dihedral Quintic Field Defined by a Trinomial <i>X</i><sup>5</sup> + <i>aX</i> + <i>b</i>","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University; Okanagan University College","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Trinomial; Mathematics; Discriminant; Quintic function; Galois group; Dihedral group; Combinatorics; Field (mathematics); Group (periodic table); Pure mathematics; Physics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"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":[0.0004101608,0.0003810497,0.0003890646,0.001544762,0.000756084,0.001398879,0.0003959347,0.0002872022,0.005063305],"category_scores_gemma":[0.0009102346,0.0001684785,0.0001524803,0.000575303,0.001504065,0.001113584,0.0007423671,0.0005692678,0.0006901741],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001136974,"about_ca_system_score_gemma":0.0003143543,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001129437,"about_ca_topic_score_gemma":0.001230619,"domain_scores_codex":[0.9998505,0.00001808051,0.000007268708,0.00002921018,0.00004845032,0.00004650028],"domain_scores_gemma":[0.9996076,0.00007047316,0.00007552632,0.00001858479,0.00007339149,0.0001543359],"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":[0.0005949261,0.00009686547,0.005875849,0.0001156748,0.00001889526,0.0009939482,0.0007854073,0.004354264,0.01706249,0.9414114,0.003800065,0.02489025],"study_design_scores_gemma":[0.000264565,0.0003171726,0.008681891,0.00009957264,0.00003811907,0.001395405,0.0009516146,0.04082853,0.009495215,0.914902,0.0229055,0.000120507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9516537,0.0002883498,0.01217215,0.0005904507,0.0001488392,0.00001777291,0.0001790009,0.00008457291,0.03486511],"genre_scores_gemma":[0.9926184,0.00009184929,0.001783921,0.00003022093,0.0000565249,0.00000995268,0.00008206961,0.00002123323,0.005305842],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005063305,"threshold_uncertainty_score":0.01693839,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00987163521763301,"score_gpt":0.1902782766161932,"score_spread":0.1804066413985602,"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."}}