{"id":"W2321875349","doi":"10.1016/j.jsc.2015.09.004","title":"Genus 3 curves whose Jacobians have endomorphisms by <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"double-struck\">Q</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mrow><mml:mi>ζ</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mover accent=\"true\"><mml:mrow><mml:mi>ζ</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=\"false\">)</mml:mo></mml:math>","year":2015,"lang":"lv","type":"article","venue":"Journal of Symbolic Computation","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"National Natural Science Foundation of China; Office of International Science and Engineering; Centre de Recherches Mathématiques; University of Missouri; Chinese Academy of Sciences; National Science Foundation","keywords":"Mathematics; Endomorphism; Genus; Riemann zeta function; Combinatorics; Generating function; Function (biology); Pure mathematics; Botany","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.000376518,0.001554215,0.0005866122,0.001897491,0.00156657,0.002949336,0.0006291437,0.00103464,0.05997172],"category_scores_gemma":[0.001914254,0.0005921994,0.001360747,0.001254956,0.002041378,0.002315289,0.002718749,0.002116889,0.02136514],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00155341,"about_ca_system_score_gemma":0.0008018314,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002962581,"about_ca_topic_score_gemma":0.00359833,"domain_scores_codex":[0.9993685,0.00004100367,0.00003049593,0.0001157719,0.0002308128,0.0002134911],"domain_scores_gemma":[0.9993019,0.0001343317,0.0001109053,0.0001235805,0.0001531958,0.0001760527],"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":[0.000752916,0.0003111391,0.006168932,0.0003653947,0.00008735957,0.003570755,0.0033908,0.004369454,0.04450077,0.6179405,0.1052324,0.2133097],"study_design_scores_gemma":[0.0002248273,0.0003185803,0.01973785,0.0002318995,0.0001085649,0.004132194,0.002038804,0.008373997,0.05696268,0.4643576,0.4432183,0.0002948672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3429126,0.001103178,0.07566313,0.001904342,0.001977573,0.0002397947,0.002570034,0.008874597,0.5647547],"genre_scores_gemma":[0.7567706,0.001128532,0.0202694,0.0006820924,0.0004494738,0.0001407807,0.003636919,0.005046089,0.2118763],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.05997172,"threshold_uncertainty_score":0.2006254,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02303860679243356,"score_gpt":0.2534780292644001,"score_spread":0.2304394224719665,"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."}}