{"id":"W2465890385","doi":"10.1142/s1793042117500154","title":"An infinite family of pairs of imaginary quadratic fields with ideal classes of a given order","year":2016,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; University of Lethbridge","keywords":"Mathematics; Ideal (ethics); The Imaginary; Quadratic equation; Order (exchange); Combinatorics; Pure mathematics; Discrete mathematics; Geometry; Law","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001126363,0.0007338924,0.0005816981,0.002034834,0.002274392,0.001358037,0.0007259948,0.0006609027,0.004685308],"category_scores_gemma":[0.002520796,0.00050672,0.0006160781,0.0006959239,0.002690978,0.00339859,0.001917145,0.001269213,0.0004733016],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001152411,"about_ca_system_score_gemma":0.0003976022,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000300062,"about_ca_topic_score_gemma":0.000277006,"domain_scores_codex":[0.9992961,0.0001770128,0.0000358399,0.0001438165,0.000223388,0.0001238293],"domain_scores_gemma":[0.9984974,0.0005711265,0.0002477067,0.00013568,0.0001982929,0.0003497827],"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":[0.0005467026,0.0001476469,0.007185555,0.0002531446,0.00005392988,0.003396388,0.001051394,0.002944392,0.01022231,0.9520485,0.003862632,0.01828735],"study_design_scores_gemma":[0.0003312115,0.0004991962,0.008963421,0.0002273491,0.0001534649,0.01014211,0.001303943,0.02790901,0.01926369,0.8801873,0.05082159,0.0001975978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8483638,0.001302342,0.09039483,0.001086544,0.000233441,0.00006500289,0.0002680138,0.0004340924,0.05785193],"genre_scores_gemma":[0.9686872,0.0003214942,0.01781349,0.0001696836,0.0001318413,0.00008553428,0.0003821907,0.00008176587,0.01232684],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004685308,"threshold_uncertainty_score":0.01567394,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01914594762369276,"score_gpt":0.3089867511171712,"score_spread":0.2898408034934784,"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."}}