{"id":"W1834817605","doi":"10.1007/bfb0032853","title":"Explicit construction of the hilbert class fields of imaginary quadratic fields with class numbers 7 and 11","year":2005,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Quadratic equation; The Imaginary; Class field theory; Mathematics; Class (philosophy); Pure mathematics; Field (mathematics); Mathematical analysis; Computer science; Geometry; Artificial intelligence","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":[0.0008570804,0.0007372719,0.0006857576,0.001440409,0.001578414,0.002646858,0.001331998,0.0009929324,0.01309101],"category_scores_gemma":[0.001313174,0.0006356824,0.0006789833,0.0009125529,0.002463496,0.004714967,0.001895396,0.003407177,0.001547086],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001487231,"about_ca_system_score_gemma":0.0007492572,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004756727,"about_ca_topic_score_gemma":0.0007119499,"domain_scores_codex":[0.9995173,0.0001237395,0.00001926519,0.00005954074,0.0001784304,0.0001016681],"domain_scores_gemma":[0.9995136,0.0001868744,0.00005103857,0.00006337361,0.00007887514,0.0001062718],"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":[0.00001207121,0.0000135638,0.00005658275,0.00001860324,0.000001874939,0.00004718464,0.0001777013,0.0001531499,0.0006778802,0.9956976,0.0007584372,0.00238532],"study_design_scores_gemma":[0.00002637109,0.00001692661,0.0002268871,0.00002047214,0.000006180262,0.0002135177,0.0001041604,0.002004882,0.0009222563,0.9823471,0.01409329,0.00001787491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.3437861,0.002437702,0.2158287,0.004183985,0.001411777,0.0001303603,0.000465301,0.0006335697,0.4311225],"genre_scores_gemma":[0.8507055,0.0006616053,0.04926115,0.0005759969,0.0005452794,0.00008546998,0.0003364797,0.0002625034,0.09756593],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.01309101,"threshold_uncertainty_score":0.04379374,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01272179795243901,"score_gpt":0.2402119041867849,"score_spread":0.2274901062343459,"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."}}