{"id":270,"date":"2016-08-25T16:56:36","date_gmt":"2016-08-25T14:56:36","guid":{"rendered":"http:\/\/members.loria.fr\/EMilio\/?page_id=270"},"modified":"2017-07-06T08:55:49","modified_gmt":"2017-07-06T06:55:49","slug":"modular-polynomials","status":"publish","type":"page","link":"https:\/\/members.loria.fr\/EMilio\/modular-polynomials\/","title":{"rendered":"Modular polynomials"},"content":{"rendered":"<h1>Modular polynomial of Hilbert:<\/h1>\n<ul>\n<li>\nGundlach invariants for sqrt(2) and l=<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Gundlach-2.tar.gz\">2<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Gundlach-7.tar.gz\">7<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Gundlach-17.tar.gz\">17<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Gundlach-23.tar.gz\">23<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Gundlach-31.tar.gz\">31<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Gundlach-41.tar.gz\">41<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Gundlach-47.tar.gz\">47<\/a>, 71 (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Gundlach-Q2-Split\">split<\/a>) and l=<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Gundlach-3.tar.gz\">3<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Gundlach-5.tar.gz\">5<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Gundlach-11.tar.gz\">11<\/a>   (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Gundlach-Q2-Inert\">inert<\/a>);\n<\/li>\n<li>\nGundlach invariants for sqrt(5) for l=<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Gundlach-5.tar.gz\">5<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Gundlach-11.tar.gz\">11<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Gundlach-19.tar.gz\">19<\/a>,  <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Gundlach-29.tar.gz\">29<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Gundlach-31.tar.gz\">31<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Gundlach-41.tar.gz\">41<\/a>, 59 (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Gundlach-Q5-Split\">split<\/a>) and for l=<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Gundlach-2.tar.gz\">2<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Gundlach-3.tar.gz\">3<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Gundlach-7.tar.gz\">7<\/a> (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Gundlach-Q5-Inert\">inert<\/a>);\n<\/li>\n<li>\nTheta invariants for sqrt(2): l= <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Theta-7.tar.gz\">7<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Theta-17.tar.gz\">17<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Theta-23.tar.gz\">23<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Theta-41.tar.gz\">41<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Theta-73.tar.gz\">73<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Theta-89.tar.gz\">89<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Theta-97.tar.gz\">97<\/a> (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Theta-Q2-Split\">split<\/a>) and for l= <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Theta-3.tar.gz\">3<\/a>,  <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Theta-5.tar.gz\">5<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Theta-11.tar.gz\">11<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ2Theta-13.tar.gz\">13<\/a> (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Theta-Q2-Inert\">inert<\/a>)\n<\/li>\n<li>\nTheta invariants for sqrt(3) for l=<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ3Theta-13.tar.gz\">13<\/a> (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Theta-Q3-Split\">split<\/a>) and for l=<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ3Theta-3.tar.gz\">3<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ3Theta-5.tar.gz\">5<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ3Theta-7.tar.gz\">7<\/a> (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Theta-Q3-Inert\">inert<\/a>)\n<\/li>\n<li>\nTheta invariants for sqrt(5) and for l=<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Theta-5.tar.gz\">5<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Theta-11.tar.gz\">11<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Theta-19.tar.gz\">19<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Theta-29.tar.gz\">29 <\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Theta-31.tar.gz\">31<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Theta-41.tar.gz\">41<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Theta-59.tar.gz\">59<\/a> (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Theta-Q5-Split\">split<\/a>) and for l=<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Theta-3.tar.gz\">3<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolQ5Theta-7.tar.gz\">7<\/a> (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Theta-Q5-Inert\">inert<\/a>).\n<\/li>\n<\/ul>\n<p>(To test the polynomials with the theta, you also need the files <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/classeSLDG24-2\">class-2<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/classeSLDG24-3\">class-3<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/classeSLDG24-5\">class-5<\/a> which contain the classes of the quotient  SL_2(Ok\\oplus\\partial_K^{-1})\/Gamma(2,4) for K=Q(sqrt(D)) and D=2,3,5 respectively.<\/p>\n<h1>Modular polynomial of Siegel:<\/h1>\n<ul>\n<li>\nStreng invariants for l=<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolModStrNiv2.tar.gz\">2<\/a> and l=<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolModStrNiv3.tar.gz\">3<\/a> (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Str\">readme<\/a>);\n<\/li>\n<li>\nTheta invariants for l=<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolModThetaNiv3.tar.gz\">3<\/a>, <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/PolModThetaNiv5.tar.gz\">5<\/a> and 7 (<a href=\"https:\/\/members.loria.fr\/EMilio\/files\/README-Theta\">readme<\/a>);\n<\/li>\n<\/ul>\n<p>You can find the <a href=\"https:\/\/members.loria.fr\/EMilio\/files\/code.tar.gz\">code<\/a> I wrote to compute the modular polynomials of Hilbert and of Siegel. The files lack of commentaries and explanations for now (sorry).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Modular polynomial of Hilbert: Gundlach invariants for sqrt(2) and l=2, 7, 17, 23, 31, 41, 47, 71 (split) and l=3, 5, 11 (inert); Gundlach invariants for sqrt(5) for l=5, 11, 19, 29, 31, 41, 59 (split) and for l=2, 3, 7 (inert); Theta invariants for sqrt(2): l= 7, 17, 23, 41, 73, 89, 97 (split) [&hellip;]<\/p>\n","protected":false},"author":89,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-270","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/members.loria.fr\/EMilio\/wp-json\/wp\/v2\/pages\/270","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/members.loria.fr\/EMilio\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/members.loria.fr\/EMilio\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/members.loria.fr\/EMilio\/wp-json\/wp\/v2\/users\/89"}],"replies":[{"embeddable":true,"href":"https:\/\/members.loria.fr\/EMilio\/wp-json\/wp\/v2\/comments?post=270"}],"version-history":[{"count":48,"href":"https:\/\/members.loria.fr\/EMilio\/wp-json\/wp\/v2\/pages\/270\/revisions"}],"predecessor-version":[{"id":352,"href":"https:\/\/members.loria.fr\/EMilio\/wp-json\/wp\/v2\/pages\/270\/revisions\/352"}],"wp:attachment":[{"href":"https:\/\/members.loria.fr\/EMilio\/wp-json\/wp\/v2\/media?parent=270"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}