{"id":"W3110729469","doi":"10.1016/j.jnt.2020.12.005","title":"Constructing Galois representations ramified at one prime","year":2021,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Image (mathematics); Diagonal; Prime (order theory); Combinatorics; Galois module; Torus; Pure 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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001739728,0.0001593952,0.0004458506,0.00008450363,0.0001750696,0.00004493834,0.0002285066,0.000114425,0.02179919],"category_scores_gemma":[0.00405354,0.0001489927,0.0002950164,0.000330766,0.0001645561,0.0002335247,0.0001564743,0.00042131,0.0002046701],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001554826,"about_ca_system_score_gemma":0.0001544112,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001093205,"about_ca_topic_score_gemma":0.000003386474,"domain_scores_codex":[0.997719,0.0006287973,0.000778881,0.0001790862,0.0004356141,0.0002586593],"domain_scores_gemma":[0.994719,0.003494372,0.0007584759,0.0004067133,0.0004640661,0.0001573474],"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":[0.0003941883,0.0005354533,0.00643224,0.0001145483,0.0009039477,0.0005548325,0.002323083,0.000002572669,0.006084986,0.960164,0.01573023,0.006759892],"study_design_scores_gemma":[0.0009569444,0.0000256353,0.0005989933,0.0001736728,0.0002144028,0.004525307,0.00565196,0.000003079304,0.04172251,0.9438566,0.002077645,0.0001932566],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8695039,0.0002133496,0.009272073,0.0005666616,0.0007110087,0.00009821963,0.0000351105,0.00004689922,0.1195528],"genre_scores_gemma":[0.946932,0.0000326932,0.03104678,0.0002570565,0.0006084244,0.000003437506,0.00001381592,0.0000495109,0.02105629],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09849651,"threshold_uncertainty_score":0.979095,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04420951687698749,"score_gpt":0.3220219963461527,"score_spread":0.2778124794691652,"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."}}