{"id":"W4226120589","doi":"10.22215/etd/2022-14866","title":"Cycle Lengths of Finite Cyclotomic Mappings","year":2022,"lang":"en","type":"dissertation","venue":"","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Integer (computer science); Function (biology); Cyclotomic polynomial; Index (typography); Combinatorics; Discrete mathematics; Pure mathematics; Polynomial; Mathematical analysis; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002579726,0.000168575,0.0002356368,0.0003320746,0.0001192743,0.0000468869,0.00122352,0.00009032596,0.001058311],"category_scores_gemma":[0.00002814284,0.000173612,0.0002192628,0.0005536237,0.00001793259,0.0001468773,0.0001439697,0.000244908,0.00002866665],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001618317,"about_ca_system_score_gemma":0.00007231753,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004285628,"about_ca_topic_score_gemma":0.0000204874,"domain_scores_codex":[0.9988416,0.00006661232,0.0002739549,0.0003620428,0.0002798314,0.0001758923],"domain_scores_gemma":[0.9989439,0.0001801782,0.0002088628,0.0005772774,0.00004866098,0.00004117097],"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":[0.00005126712,0.0001225533,0.00005604377,0.0001842025,0.00009062694,0.0000102995,0.00412297,0.0001359278,0.001516108,0.9474323,0.00258498,0.04369275],"study_design_scores_gemma":[0.001383807,0.0008103162,0.00578916,0.0002990192,0.0001465275,0.00001837766,0.003339739,0.01538399,0.02159319,0.6392094,0.3094884,0.0025381],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.314315,0.0009810993,0.05204814,0.0002968656,0.004761178,0.0006858637,0.00003451034,0.001007839,0.6258695],"genre_scores_gemma":[0.9698432,0.0001268831,0.007587197,0.0003978561,0.00006984235,0.00009741508,0.0002382396,0.00004022431,0.02159913],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6555282,"threshold_uncertainty_score":0.9998549,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005963649993695944,"score_gpt":0.2344419117300841,"score_spread":0.2284782617363881,"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."}}