{"id":"W2953360005","doi":"10.48550/arxiv.1004.4785","title":"Tabulation of cubic function fields via polynomial binary cubic forms","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Cubic function; Cubic form; Generalization; Degree (music); Binary number; Mathematics; Combinatorics; Cubic crystal system; Polynomial; Function (biology); Discriminant; Square (algebra); Monotone cubic interpolation; Discrete mathematics; Mathematical analysis; Physics; Geometry; Arithmetic; Computer science; Condensed matter physics","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":[0.0006519001,0.0006070782,0.0008087561,0.002132924,0.001357636,0.001582026,0.00104862,0.0004329325,0.0157755],"category_scores_gemma":[0.004106279,0.0003282502,0.0008914215,0.00205989,0.001034304,0.002598297,0.002223817,0.001492361,0.0032616],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008983857,"about_ca_system_score_gemma":0.001412445,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002012895,"about_ca_topic_score_gemma":0.002184349,"domain_scores_codex":[0.999243,0.0001275606,0.00004640542,0.0001088023,0.0003099949,0.0001642824],"domain_scores_gemma":[0.9988165,0.0003876166,0.00009431033,0.0004092169,0.0002294715,0.00006300922],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0007202732,0.0002496811,0.002848481,0.0004737717,0.00004236221,0.0002877807,0.0008720653,0.0298863,0.01490444,0.3051903,0.01979352,0.624731],"study_design_scores_gemma":[0.0002508196,0.0003889215,0.0009457883,0.0001373259,0.00006432623,0.0004172462,0.0006182018,0.2184888,0.04562862,0.6618217,0.07113021,0.0001080123],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3033938,0.000531257,0.6364943,0.000754525,0.0003095941,0.0004354691,0.001473679,0.00563356,0.05097381],"genre_scores_gemma":[0.5839471,0.0003217481,0.3939026,0.0002109981,0.0001188579,0.0002103056,0.003039915,0.001338123,0.01691038],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0157755,"threshold_uncertainty_score":0.05277431,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02843704905159831,"score_gpt":0.1700036663416731,"score_spread":0.1415666172900748,"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."}}