{"id":"W1981578089","doi":"10.1016/j.jalgebra.2008.04.021","title":"Similar sublattices of the root lattice <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mi>A</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math>","year":2008,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"Luonnontieteiden ja Tekniikan Tutkimuksen Toimikunta; Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Dynamical billiards; Riemann zeta function; Combinatorics; Lattice (music); Algebra over a field; Pure mathematics; Geometry","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":[0.0006583538,0.0005858662,0.0007641366,0.002155517,0.003122787,0.003597096,0.001117581,0.0009400338,0.03154207],"category_scores_gemma":[0.002467934,0.0005462174,0.001560597,0.00123353,0.002268848,0.005014682,0.001600271,0.00228063,0.006804029],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001861978,"about_ca_system_score_gemma":0.0009845622,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003335739,"about_ca_topic_score_gemma":0.00573945,"domain_scores_codex":[0.9987167,0.0002561559,0.00007374882,0.000326343,0.0003948708,0.000232254],"domain_scores_gemma":[0.9980902,0.0004123131,0.0001808042,0.0003268413,0.000651258,0.0003384074],"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":[0.00008088132,0.0000428804,0.0002818909,0.00007983085,0.00001516164,0.0003082846,0.0004147269,0.0003701079,0.003179805,0.981531,0.006533817,0.0071616],"study_design_scores_gemma":[0.0000621722,0.00002898177,0.0007647198,0.00003109302,0.00001723926,0.0007866213,0.0007148763,0.003163222,0.002654932,0.9574551,0.03428528,0.00003583228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1644096,0.001951922,0.263489,0.002798151,0.001458321,0.0004092222,0.0032764,0.001430356,0.5607771],"genre_scores_gemma":[0.6531042,0.0008607415,0.1282198,0.001611165,0.0009297414,0.0004349186,0.005134752,0.0009187894,0.2087858],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03154207,"threshold_uncertainty_score":0.1055187,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02467456432207898,"score_gpt":0.2578259160265255,"score_spread":0.2331513517044465,"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."}}