{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.01030491,0.004248176,0.001795552,0.003612232,0.005868423,0.007581849,0.01008561,0.01043816,0.8349464],"category_scores_gemma":[0.008811041,0.009078977,0.008787527,0.006024376,0.007014051,0.007656215,0.007979039,0.008676874,0.006935176],"about_ca_system_candidate":true,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001450128,"about_ca_system_score_gemma":0.008432718,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.007604195,"about_ca_topic_score_gemma":0.005730445,"domain_scores_codex":[0.9587386,0.003193221,0.009325105,0.006817375,0.01197386,0.009951876],"domain_scores_gemma":[0.9641977,0.008012616,0.01269056,0.007147558,0.001494412,0.006457167],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.008538235,0.001777764,0.00007149115,0.004595547,0.009295444,0.006521012,0.007031358,0.007229365,0.00413396,0.2484432,0.6958358,0.006526833],"study_design_scores_gemma":[0.01081846,0.006838748,0.0002137626,0.006326591,0.009051762,0.01092933,0.01036373,0.01637893,0.9091569,0.002798959,0.009287866,0.007834941],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3960414,0.006446544,0.003342205,0.002299583,0.01025113,0.0002236431,0.002326545,0.0009444072,0.5781245],"genre_scores_gemma":[0.9570044,0.006608278,0.005971594,0.005362248,0.009409757,0.003917355,0.006138549,0.004529695,0.001058096],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.905023,"threshold_uncertainty_score":0.9995382,"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."}}