{"id":"W2050813462","doi":"10.1090/s0025-5718-01-01312-6","title":"Jacobi sums and new families of irreducible polynomials of Gaussian periods","year":2001,"lang":"lv","type":"article","venue":"Mathematics of Computation","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001456815,0.0006512937,0.0006907758,0.003197899,0.001936077,0.003119821,0.00107953,0.0008131507,0.012894],"category_scores_gemma":[0.005046659,0.0004603311,0.001088165,0.001930585,0.002760066,0.003740966,0.00197851,0.002175457,0.002864979],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002219616,"about_ca_system_score_gemma":0.001123814,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001094706,"about_ca_topic_score_gemma":0.001175246,"domain_scores_codex":[0.9989736,0.0002023825,0.00003869432,0.0001707404,0.000369332,0.0002452627],"domain_scores_gemma":[0.9985386,0.0005107136,0.0001799748,0.0002181187,0.000272394,0.000280264],"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":[0.00002768761,0.00001319048,0.0002205219,0.00003446889,0.000004703238,0.00007093254,0.0001973666,0.0008539106,0.0003447826,0.9889308,0.002495546,0.006806064],"study_design_scores_gemma":[0.0000166506,0.00001767967,0.0005086046,0.0000255126,0.000008850161,0.0002692152,0.0001353263,0.01189214,0.0008050191,0.9769597,0.00933307,0.00002817913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4507357,0.002848373,0.2139271,0.0038951,0.001529166,0.0001063719,0.0009552466,0.001555578,0.3244474],"genre_scores_gemma":[0.9019716,0.001272518,0.02754454,0.0005971412,0.00108056,0.0001015233,0.000443939,0.000630493,0.06635761],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.012894,"threshold_uncertainty_score":0.04313475,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04299581041631966,"score_gpt":0.317852252232581,"score_spread":0.2748564418162613,"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."}}