{"id":"W4207009175","doi":"10.1017/s0004972721000927","title":"COUNTING HECKE EIGENFORMS WITH NONVANISHING -VALUE","year":2022,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Council of Scientific and Industrial Research, India","keywords":"Mathematics; Kernel (algebra); Value (mathematics); Statistics; Pure mathematics","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":[0.002721856,0.0006581923,0.0008570947,0.005306675,0.001178828,0.002593323,0.001942011,0.001163217,0.003881212],"category_scores_gemma":[0.01715807,0.0006307762,0.0006240321,0.001433503,0.00488331,0.004846095,0.002324932,0.001185524,0.0004454492],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001356459,"about_ca_system_score_gemma":0.0004554023,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005276036,"about_ca_topic_score_gemma":0.0004084296,"domain_scores_codex":[0.9988644,0.0002868785,0.00008037573,0.0002096683,0.000350464,0.0002082779],"domain_scores_gemma":[0.9942771,0.002617715,0.0007786026,0.0007576438,0.0007955926,0.0007734144],"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":[0.0003840971,0.000249382,0.01991912,0.0002032498,0.00004142398,0.0009837261,0.001100196,0.01333169,0.03158329,0.9147484,0.0009063283,0.01654915],"study_design_scores_gemma":[0.0000596358,0.0001906597,0.01316279,0.0001243072,0.00004952325,0.002074432,0.000685088,0.2655257,0.02515559,0.6903653,0.002463702,0.0001432505],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9164896,0.0002265877,0.07494507,0.0001681905,0.00006890489,0.00003127257,0.00005660966,0.0002187603,0.007794916],"genre_scores_gemma":[0.9894174,0.0001166021,0.007715244,0.00002966556,0.00006574253,0.00003880034,0.00008594796,0.00005007026,0.002480523],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005306675,"threshold_uncertainty_score":0.01439476,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02691995270906018,"score_gpt":0.2748150612549257,"score_spread":0.2478951085458655,"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."}}