{"id":"W4313522104","doi":"10.21203/rs.3.rs-2399252/v1","title":"On the Distribution of Alexander Polynomials in Certain Families of Closed Braids","year":2023,"lang":"en","type":"preprint","venue":"Research Square","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Braid; Mathematics; Distribution (mathematics); Class (philosophy); Arithmetic; Pure mathematics; Algebra over a field; Computer science; Mathematical analysis; Artificial intelligence","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":[0.001865644,0.0002455436,0.0004718467,0.003138638,0.001077066,0.001998983,0.0009333115,0.0008691036,0.002707216],"category_scores_gemma":[0.0102533,0.0003334819,0.0002728067,0.001288173,0.002833471,0.002878085,0.0008637823,0.0007853777,0.0001468166],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001121063,"about_ca_system_score_gemma":0.0003080407,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006901904,"about_ca_topic_score_gemma":0.0004622203,"domain_scores_codex":[0.9995788,0.0001283883,0.00001394205,0.00008343728,0.0001092238,0.00008620407],"domain_scores_gemma":[0.9918619,0.005244692,0.001372428,0.0003680746,0.0005190191,0.0006337544],"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":[0.0002019434,0.0001557833,0.02950255,0.0001223709,0.0000658462,0.0009652508,0.001277731,0.06630103,0.015875,0.874347,0.001241609,0.009943836],"study_design_scores_gemma":[0.00005989131,0.0001565424,0.03482231,0.00009105506,0.0000391456,0.001487444,0.001183321,0.4115583,0.005221312,0.543257,0.001996202,0.0001275026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9849983,0.0001743872,0.01290968,0.0001359262,0.000009815486,0.000003572903,0.00005711593,0.00003275204,0.001678456],"genre_scores_gemma":[0.998567,0.0001074945,0.0008112545,0.00001190334,0.0000269856,0.000007517316,0.00006499032,0.00001066823,0.0003921227],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003138638,"threshold_uncertainty_score":0.009866595,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2040321725656703,"score_gpt":0.4477920230882987,"score_spread":0.2437598505226284,"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."}}