{"id":"W2788423653","doi":"10.1007/978-3-319-69712-3_4","title":"First Order p-Adic Deformations of Weight One Newforms","year":2017,"lang":"en","type":"book-chapter","venue":"Contributions in mathematical and computational sciences","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Logarithm; Order (exchange); Pure mathematics; Galois module; Field (mathematics); Representation (politics); Algebraic number; Projective test; Algebra over a field; Mathematical analysis","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":[0.001004397,0.000220279,0.0005322188,0.0002410168,0.0006426775,0.00007026291,0.0003801677,0.0002028431,0.0008100779],"category_scores_gemma":[0.001003947,0.0001717081,0.0001007672,0.00009875483,0.001360544,0.0002279207,0.0001580264,0.0002421116,0.00006922986],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005294886,"about_ca_system_score_gemma":0.000172894,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000408138,"about_ca_topic_score_gemma":0.0000165323,"domain_scores_codex":[0.9982865,0.0000213693,0.0006819555,0.0002617353,0.0005101612,0.0002382886],"domain_scores_gemma":[0.9973062,0.001653381,0.0004483879,0.0002228651,0.0002759731,0.0000931993],"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":[0.000004968052,0.00009203859,0.00002718495,0.0001798783,0.0000378962,0.000001598457,0.0001515567,0.0001061886,3.664537e-7,0.9987065,0.0001715157,0.000520259],"study_design_scores_gemma":[0.0003125831,0.00005295318,0.0001657846,0.0006555906,0.00005939513,0.00002672842,0.00003247837,0.005314876,0.000004703381,0.9916905,0.001480251,0.0002041932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.003208079,0.000853328,0.3102722,0.002961452,0.0001945152,0.0009401449,0.0004127989,0.00008131187,0.6810762],"genre_scores_gemma":[0.7567373,0.0004016153,0.1225775,0.0002069285,0.0003742386,0.0001312989,0.0002014732,0.00006782789,0.1193018],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.7535292,"threshold_uncertainty_score":0.8869784,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03778868978183374,"score_gpt":0.3022184891292129,"score_spread":0.2644297993473791,"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."}}