{"id":"W2897200622","doi":"10.1142/s1793042120500578","title":"Constructions of vector-valued modular forms of rank four and level one","year":2019,"lang":"en","type":"preprint","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Rank (graph theory); Modular form; Mathematics; Isomorphism (crystallography); Modular design; Pure mathematics; Modular group; Holomorphic function; Group (periodic table); Tensor (intrinsic definition); Differential (mechanical device); Weight; Algebra over a field; Representation (politics); Combinatorics; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0006285641,0.0006673955,0.0004639368,0.001768223,0.00120769,0.001761183,0.0009043511,0.0006684643,0.00552661],"category_scores_gemma":[0.001507933,0.000364503,0.0007049486,0.0006673955,0.002203801,0.003116337,0.002245393,0.00139829,0.000736748],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008201157,"about_ca_system_score_gemma":0.0004257788,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002104117,"about_ca_topic_score_gemma":0.0003003227,"domain_scores_codex":[0.9995385,0.0001007586,0.00002553529,0.00005456248,0.0001290602,0.0001515911],"domain_scores_gemma":[0.9994224,0.0001286397,0.0001301233,0.000083842,0.00007171044,0.0001633286],"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":[0.00002222995,0.00002671662,0.0003482917,0.00002758819,0.00000337997,0.0002573598,0.000483681,0.0005891946,0.003312307,0.9895129,0.0002975892,0.005118863],"study_design_scores_gemma":[0.00002931005,0.00009116407,0.0004863609,0.00003619826,0.0000128629,0.0007865795,0.0004145262,0.007565735,0.006527251,0.9762847,0.007729715,0.00003568787],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8424024,0.0003014251,0.09547048,0.0004602636,0.0001772685,0.0001061822,0.0001032475,0.0003012187,0.0606775],"genre_scores_gemma":[0.9545197,0.0001716236,0.03170216,0.00009498702,0.00007105534,0.00004843169,0.00008776556,0.0001223642,0.013182],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00552661,"threshold_uncertainty_score":0.01848835,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06466379810937513,"score_gpt":0.342089337383495,"score_spread":0.2774255392741198,"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."}}