{"id":"W84608902","doi":"10.4153/cmb-2002-004-6","title":"Modular Equations and Discrete, Genus-Zero Subgroups of SL(2, ℝ) Containing Γ(<i>N</i>)","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Zero (linguistics); Genus; Generator (circuit theory); Modular design; Pure mathematics; Combinatorics; Algebra over a field; Discrete mathematics; Botany","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004603017,0.0004773107,0.000351836,0.001018128,0.000991511,0.001602785,0.0004080005,0.0004730206,0.002884513],"category_scores_gemma":[0.001164101,0.0002453908,0.00046016,0.0004677117,0.002473036,0.001793569,0.00136522,0.000744639,0.0003215046],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001036183,"about_ca_system_score_gemma":0.000413785,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009399815,"about_ca_topic_score_gemma":0.000980111,"domain_scores_codex":[0.9997802,0.00004253691,0.00001313717,0.0000380664,0.00005761141,0.00006849503],"domain_scores_gemma":[0.9996611,0.00007464628,0.0001012926,0.00003091458,0.00003367043,0.00009829863],"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":[0.0001662584,0.00007280874,0.001676972,0.00002860601,0.00001179892,0.0008195614,0.001503567,0.002062462,0.01547539,0.9685321,0.0006019739,0.009048411],"study_design_scores_gemma":[0.0001183326,0.0001750691,0.002291993,0.00002318205,0.00001426895,0.000716163,0.0005976072,0.009305366,0.007138156,0.974535,0.005048636,0.00003621963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9740831,0.0001631718,0.009753542,0.0003275724,0.0000605735,0.00003209606,0.00003659813,0.00005340579,0.01548977],"genre_scores_gemma":[0.9930474,0.0001052267,0.002102945,0.00006024043,0.00006546537,0.00001892294,0.00004084134,0.00001354988,0.004545413],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002884513,"threshold_uncertainty_score":0.009649634,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03283740251063247,"score_gpt":0.255845966298385,"score_spread":0.2230085637877526,"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."}}