{"id":"W2150647155","doi":"10.1017/s0305004112000631","title":"Average Frobenius distribution for the degree two primes of a number field","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Conjecture; Prime number; Algebraic number field; TRACE (psycholinguistics); Degree (music); Distribution (mathematics); Prime (order theory); Field (mathematics); Elliptic curve","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":[0.00410569,0.0003620574,0.001002351,0.00288212,0.0008554489,0.002319665,0.001685776,0.0007610306,0.002485428],"category_scores_gemma":[0.02976764,0.0003731016,0.0003767192,0.0009263879,0.00431292,0.005455907,0.001716894,0.001160736,0.0002642915],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001563629,"about_ca_system_score_gemma":0.0005703062,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006649338,"about_ca_topic_score_gemma":0.0003357849,"domain_scores_codex":[0.9988137,0.0003107059,0.00004383923,0.0003524364,0.0002814186,0.0001978381],"domain_scores_gemma":[0.9839407,0.009959725,0.001607308,0.001865778,0.001064683,0.001561793],"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":[0.002146967,0.0002433717,0.08644736,0.0002780771,0.0000999759,0.0007254494,0.001375282,0.08823226,0.02644634,0.7580299,0.002687017,0.03328795],"study_design_scores_gemma":[0.00008872876,0.0002788859,0.02226839,0.00007893791,0.00004237369,0.00119955,0.0005710971,0.5719055,0.01895464,0.3824829,0.002011636,0.0001173286],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9651227,0.0002598922,0.03149708,0.000426934,0.00001740807,0.00001004093,0.000139664,0.0001386549,0.00238761],"genre_scores_gemma":[0.9968504,0.0001210223,0.002381339,0.00001535676,0.00005368939,0.0000118354,0.0001153531,0.00001955758,0.0004313179],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00410569,"threshold_uncertainty_score":0.0217132,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04589278166337289,"score_gpt":0.2858429814194287,"score_spread":0.2399501997560558,"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."}}