{"id":"W2060534865","doi":"10.4153/cmb-2014-007-3","title":"Fourier Coefficients of Vector-valued Modular Forms of Dimension 2","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Modular form; Fourier series; Modular design; Dimension (graph theory); Congruence (geometry); Modular group; Modular curve; Congruence subgroup","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005352189,0.0001833964,0.0005185751,0.0001927024,0.0000601417,0.000007550375,0.0002391087,0.0001338404,0.003028451],"category_scores_gemma":[0.002309729,0.0001513813,0.0001358083,0.0002316696,0.0001575488,0.00002308758,0.00004598673,0.0001299154,0.0005506438],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005869629,"about_ca_system_score_gemma":0.00006390884,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003786001,"about_ca_topic_score_gemma":0.00007502026,"domain_scores_codex":[0.9984139,0.00005576455,0.0005531322,0.0002140824,0.0003612042,0.0004019611],"domain_scores_gemma":[0.9982778,0.0004526673,0.0001939695,0.0005546191,0.0001428066,0.0003780753],"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":[0.00001159078,0.0001318928,0.0000475451,0.0005416026,0.00003368039,0.000004568853,0.0002286269,0.00003126936,0.0008856211,0.9947796,0.002178588,0.001125438],"study_design_scores_gemma":[0.0006759996,0.0001623898,0.0001745073,0.0003467006,0.00006659026,0.000009137436,0.0001267148,0.003401147,0.008562206,0.9812067,0.004977145,0.0002907302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9255229,0.00003129568,0.06403206,0.0003924043,0.00006621757,0.0003102638,0.00002493216,0.00002980411,0.009590109],"genre_scores_gemma":[0.9842839,9.808019e-7,0.0148902,0.0001252956,0.00002879854,0.000008834632,0.000005692349,0.00003761941,0.0006187464],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05876092,"threshold_uncertainty_score":0.9978829,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01439893797447938,"score_gpt":0.2535780778185244,"score_spread":0.239179139844045,"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."}}