{"id":"W2064619631","doi":"10.1090/s0025-5718-05-01758-8","title":"Point counting on Picard curves in large characteristic","year":2005,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; University of Calgary","funders":"","keywords":"Mathematics; Cardinality (data modeling); Finite field; Jacobian matrix and determinant; Prime (order theory); Field (mathematics); Discrete mathematics; Point (geometry); Combinatorics; Pure mathematics; Applied mathematics; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006106413,0.00007847184,0.0001580832,0.0001514355,0.00003250861,0.00003288917,0.000239053,0.00002286863,0.000007456861],"category_scores_gemma":[0.00007032608,0.00007639107,0.00004780076,0.000257543,0.0000145749,0.0001994122,0.00005592264,0.00007038694,0.00002452172],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001609673,"about_ca_system_score_gemma":0.00001106841,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.165151e-7,"about_ca_topic_score_gemma":0.000001706944,"domain_scores_codex":[0.9992101,0.00003976911,0.000299572,0.0001284089,0.0001957546,0.000126404],"domain_scores_gemma":[0.9993489,0.0002292438,0.0001672308,0.0001823115,0.00005172634,0.0000205853],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000009765347,0.00079686,0.0005064373,0.00062331,0.00001765607,0.000003793544,0.004493061,0.00224793,0.0006972298,0.9634005,0.000357536,0.02684596],"study_design_scores_gemma":[0.0006981265,0.0001816581,0.01174603,0.001526368,0.00001218024,0.00000929097,0.0001114102,0.788897,0.001852166,0.1943409,0.0003369271,0.0002879649],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3039079,0.00004114793,0.6939463,0.0004713091,0.00007577302,0.0001121973,0.000001500847,0.00005902339,0.001384852],"genre_scores_gemma":[0.9511686,0.000008373464,0.04853817,0.0002347208,0.00002988714,0.000004863669,0.00000297001,0.000004887081,0.000007505586],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.786649,"threshold_uncertainty_score":0.3115138,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01323053864135844,"score_gpt":0.2572968505043444,"score_spread":0.244066311862986,"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."}}