{"id":"W2100075407","doi":"10.1016/j.disc.2009.11.037","title":"Locally toroidal polytopes and modular linear groups","year":2009,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Coxeter group; Polytope; Combinatorics; Quotient; Prime (order theory); Integer (computer science); Group (periodic table); Modulo; Automorphism; Euclidean geometry; Polyhedron; Discrete mathematics; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004737717,0.0004902118,0.0007582768,0.0001114824,0.0001917321,0.0001028336,0.0004428155,0.0002062688,0.00005624514],"category_scores_gemma":[0.001060136,0.0004204658,0.0001554715,0.000245016,0.0001364223,0.000310797,0.0001607592,0.000313433,0.00005033756],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007213679,"about_ca_system_score_gemma":0.00003592825,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001746588,"about_ca_topic_score_gemma":0.000002803679,"domain_scores_codex":[0.9975209,0.000054665,0.0008147928,0.0004349012,0.0006053754,0.0005693187],"domain_scores_gemma":[0.9978536,0.0005076673,0.0003432506,0.0009078934,0.0001352759,0.0002523649],"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":[0.00001743744,0.0003194741,0.00001637333,0.0003280706,0.00004790232,0.00002194908,0.002150319,0.00001634971,0.001882475,0.9931981,0.0003288261,0.001672705],"study_design_scores_gemma":[0.0007693167,0.0002620992,0.00004827196,0.0002135026,0.0001024886,0.0000584852,0.0006283959,0.008971981,0.002064141,0.9859049,0.0004497909,0.000526607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5809613,0.0004586274,0.3990505,0.001048353,0.0004475133,0.001375404,0.00003006515,0.000907158,0.01572107],"genre_scores_gemma":[0.6435189,0.00005125978,0.3551038,0.000196334,0.0002801918,0.00002287524,0.000006741319,0.0000981168,0.0007217627],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06255759,"threshold_uncertainty_score":0.9998247,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02183347160762999,"score_gpt":0.2996932528304608,"score_spread":0.2778597812228308,"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."}}