{"id":"W2000215265","doi":"10.5666/kmj.2008.48.2.255","title":"A Formula for the Colored Jones Polynomial of 2-Bridge Knots","year":2008,"lang":"en","type":"article","venue":"Kyungpook mathematical journal","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Colored; Mathematics; Jones polynomial; Alexander polynomial; HOMFLY polynomial; Knot (papermaking); Twist; Knot polynomial; Polynomial; Combinatorics; Bracket polynomial; Knot theory; Knot invariant; Pure mathematics; Matrix polynomial; Alternating polynomial; Mathematical analysis; Geometry; Square-free polynomial","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":[0.0004440535,0.0004873721,0.0004374691,0.001906085,0.0006680615,0.001357053,0.0008166392,0.0006630187,0.007175692],"category_scores_gemma":[0.001809385,0.000239402,0.0005018222,0.001204456,0.001237841,0.002818475,0.001369762,0.001267183,0.001451357],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006600822,"about_ca_system_score_gemma":0.0003899753,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000725474,"about_ca_topic_score_gemma":0.0008267289,"domain_scores_codex":[0.9996879,0.00003002131,0.00001413949,0.00005607643,0.0001330414,0.00007885963],"domain_scores_gemma":[0.9995828,0.0001020364,0.00005397154,0.00004991985,0.0001401481,0.0000710879],"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":[0.00002778318,0.0000341637,0.000590737,0.00006941317,0.00000537194,0.0002234227,0.0002656654,0.003276667,0.005782836,0.9649609,0.001945432,0.0228176],"study_design_scores_gemma":[0.00002251004,0.00007143203,0.001194662,0.00003483684,0.00001888795,0.0005398431,0.0001749544,0.03959948,0.004761182,0.9381761,0.01534429,0.00006166031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3864213,0.0009696721,0.5096512,0.001039033,0.0009455521,0.0001077522,0.0004721923,0.0006427639,0.09975059],"genre_scores_gemma":[0.9312592,0.0007672436,0.04510171,0.0002530988,0.000365497,0.00006135309,0.0002497139,0.0002143857,0.0217278],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007175692,"threshold_uncertainty_score":0.02400506,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1076519807737425,"score_gpt":0.3360731137643789,"score_spread":0.2284211329906364,"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."}}