{"id":"W2069743325","doi":"10.4153/cmb-2010-066-7","title":"Notes on Diagonal Coinvariants of the Dihedral Group","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Göran Gustafssons Stiftelser","keywords":"Mathematics; Diagonal; Dihedral group; Group (periodic table); Dihedral angle; Combinatorics; Chemistry; Geometry; Organic chemistry","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002804653,0.0001989977,0.0003076981,0.00005804708,0.0001502675,0.00003389368,0.000516001,0.0001870668,0.009192661],"category_scores_gemma":[0.002375945,0.0001255546,0.0001679852,0.0001176672,0.0002176213,0.00001535417,0.00006245764,0.0004435659,0.0004777742],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004235749,"about_ca_system_score_gemma":0.0001450455,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006142368,"about_ca_topic_score_gemma":0.00211279,"domain_scores_codex":[0.998659,0.00005503618,0.000346533,0.000212648,0.0003447555,0.0003819927],"domain_scores_gemma":[0.9978164,0.001046432,0.00011387,0.0006287739,0.00005667654,0.0003378456],"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":[0.000006662078,0.00004851005,0.00008884435,0.00004379633,0.00001743642,0.000004436069,0.0001198361,4.471862e-7,0.0001844409,0.9953168,0.003973857,0.0001949355],"study_design_scores_gemma":[0.0002725607,0.00004028778,0.0008338721,0.00006430421,0.0000259779,0.00001629403,0.00002246833,0.00004658714,0.0006766041,0.9925047,0.005338722,0.000157604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9764537,0.000006110961,0.0002227656,0.005852117,0.0008835103,0.0003764622,0.00003115253,0.00003096832,0.01614322],"genre_scores_gemma":[0.9973496,4.162767e-7,0.001434946,0.0005893021,0.0001958681,0.00001992662,0.000001477768,0.00003282405,0.0003756046],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02089594,"threshold_uncertainty_score":0.991713,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01923196806170505,"score_gpt":0.2453519656432684,"score_spread":0.2261199975815634,"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."}}