{"id":272,"date":"2023-11-10T17:59:52","date_gmt":"2023-11-10T22:59:52","guid":{"rendered":"https:\/\/math-sites.uncg.edu\/yasaki\/?page_id=272"},"modified":"2023-11-10T18:28:31","modified_gmt":"2023-11-10T23:28:31","slug":"random-modular-symbols","status":"publish","type":"page","link":"https:\/\/math-sites.uncg.edu\/yasaki\/random-modular-symbols\/","title":{"rendered":"Random Modular Symbols"},"content":{"rendered":"<p>This page houses plots to accompany <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/steinberg-random-notes-v10.pdf\">Random Modular Symbols<\/a>.<\/p>\n<h3>Cuspidal and Eisenstein Percentages<\/h3>\n<p class=\"p1\"><span class=\"s1\">The percentage of cuspidal and noncuspidal (Eis) modular symbols observed for prime levels less than 100<\/span><span class=\"s1\"> as a function of box size, verifying the limiting values.<\/span><\/p>\n<p><a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/2-ec-plot.pdf\">2-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/3-ec-plot.pdf\">3-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/5-ec-plot.pdf\">5-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/7-ec-plot.pdf\">7-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/11-ec-plot.pdf\">11-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/13-ec-plot.pdf\">13-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/17-ec-plot.pdf\">17-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/19-ec-plot.pdf\">19-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/23-ec-plot.pdf\">23-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/29-ec-plot.pdf\">29-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/31-ec-plot.pdf\">31-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/37-ec-plot.pdf\">37-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/41-ec-plot.pdf\">41-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/43-ec-plot.pdf\">43-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/47-ec-plot.pdf\">47-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/53-ec-plot.pdf\">53-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/59-ec-plot.pdf\">59-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/61-ec-plot.pdf\">61-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/67-ec-plot.pdf\">67-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/71-ec-plot.pdf\">71-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/73-ec-plot.pdf\">73-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/79-ec-plot.pdf\">79-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/83-ec-plot.pdf\">83-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/89-ec-plot.pdf\">89-ec-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/97-ec-plot.pdf\">97-ec-plot<\/a><\/p>\n<h3>Prevalence Plots<\/h3>\n<p><span class=\"s1\">The percentage of each type of modular symbol observed for prime levels less than 100<\/span><span class=\"s1\"> as a function of box size.<\/span><\/p>\n<p><a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/2-plot.pdf\">2-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/3-plot.pdf\">3-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/5-plot.pdf\">5-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/7-plot.pdf\">7-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/11-plot.pdf\">11-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/13-plot.pdf\">13-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/17-plot.pdf\">17-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/19-plot.pdf\">19-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/23-plot.pdf\">23-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/29-plot.pdf\">29-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/31-plot.pdf\">31-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/37-plot.pdf\">37-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/41-plot.pdf\">41-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/43-plot.pdf\">43-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/47-plot.pdf\">47-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/53-plot.pdf\">53-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/59-plot.pdf\">59-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/61-plot.pdf\">61-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/67-plot.pdf\">67-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/71-plot.pdf\">71-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/73-plot.pdf\">73-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/79-plot.pdf\">79-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/83-plot.pdf\">83-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/89-plot.pdf\">89-plot<\/a> <a href=\"https:\/\/math-sites.uncg.edu\/yasaki\/wp-content\/uploads\/sites\/18\/2023\/11\/97-plot.pdf\">97-plot<\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This page houses plots to accompany Random Modular Symbols. Cuspidal and Eisenstein Percentages The percentage of cuspidal and noncuspidal (Eis) modular symbols&#8230;<\/p>\n","protected":false},"author":9,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-272","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/pages\/272","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/comments?post=272"}],"version-history":[{"count":6,"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/pages\/272\/revisions"}],"predecessor-version":[{"id":381,"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/pages\/272\/revisions\/381"}],"wp:attachment":[{"href":"https:\/\/math-sites.uncg.edu\/yasaki\/wp-json\/wp\/v2\/media?parent=272"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}