{"id":"W4224102154","doi":"10.24193/mathcluj.2022.1.02","title":"Least primes which split in imaginary quadratic fields","year":2022,"lang":"en","type":"article","venue":"Mathematica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"The Imaginary; Quadratic equation; Quadratic field; Mathematics; Class (philosophy); Pure mathematics; Quadratic function; Computer science; Artificial intelligence; Geometry; Psychology","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001835389,0.001341214,0.0009651597,0.003124849,0.002234315,0.003299998,0.001310904,0.001185499,0.007900434],"category_scores_gemma":[0.01148405,0.0005162674,0.0007887242,0.001264938,0.004311897,0.006824947,0.002495123,0.003222071,0.0009551561],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001412461,"about_ca_system_score_gemma":0.0005134069,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002418016,"about_ca_topic_score_gemma":0.0002563924,"domain_scores_codex":[0.999006,0.0001885574,0.00003921516,0.000198817,0.0002653931,0.0003022112],"domain_scores_gemma":[0.991414,0.005516173,0.0009149726,0.0004764371,0.0004943385,0.001184057],"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":[0.0003625623,0.00007100022,0.002011757,0.0002187641,0.00003472089,0.0004644572,0.0004038598,0.004937451,0.005653155,0.968114,0.002824411,0.01490398],"study_design_scores_gemma":[0.00003786407,0.00007384769,0.0008751914,0.00006448104,0.00003131462,0.0004154537,0.0001893902,0.01103972,0.004374819,0.9801105,0.002762969,0.00002445548],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7946577,0.003402167,0.1062139,0.003648226,0.0006732242,0.00007270661,0.0003108132,0.0005429986,0.0904782],"genre_scores_gemma":[0.9870244,0.000562083,0.006777211,0.0001476512,0.0003904505,0.00004918777,0.000128534,0.00009622473,0.004824232],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007900434,"threshold_uncertainty_score":0.02642965,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04768493495318116,"score_gpt":0.3459736636947655,"score_spread":0.2982887287415843,"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."}}