From 04028fb3df3efc78fdaf88268d6c9324557b6c49 Mon Sep 17 00:00:00 2001 From: Nelynx Date: Fri, 7 Mar 2025 09:54:38 +0100 Subject: [PATCH] add Matthias notes --- .singularhistory | 209 +++++++++++++++++++++++++++++++++++++ .singularhistory-82675.tmp | 0 main.pdf | Bin 0 -> 189652 bytes 3 files changed, 209 insertions(+) create mode 100644 .singularhistory-82675.tmp create mode 100644 main.pdf diff --git a/.singularhistory b/.singularhistory index 2cfa7f9..a493264 100644 --- a/.singularhistory +++ b/.singularhistory @@ -231,3 +231,212 @@ map f = R,x2+y3,y5+x7; J = maxideal(20); setring R; preimage(r,f,J); +LIB"AeCodPruebas.lib"; +ring r = 0,(t,x,y),ds; +ideal f = t,x,y3+t2y,(x+y)^4+t3y; +AeNormal(f); +ideal f = t,x,y3+t2y,(x+y)^4+t3y; +f[4]; +LIB"AeCodPruebas.lib"; +ring r = 0,(t,x,y),ds; +ideal f = t,x,y3+t2y,y4+(t3+x3)*y; +AeNormal(f); +ideal f = t,x,y3+t2y,(x+y)^4+t3y; +f[4]; +f[4] = f[4] -x4; +f; +AeNormal(f); +f[4] +; +f[4] = y3+(t3+x3)*y+xy3; +AeNormal(f); +f[4] = y3+(t3+x3)*y+xy3+x2y2; +AeNormal(f); +f[4] = y3+(t3+4x3)*y+4xy3+6x2y2; +AeNormal(f); +f; +f[4] = y4+(t3+4x3)*y+4xy3+6x2y2; +AeNormal(f); +f[4] = y4+(t3+x3)*y+xy3+x2y2; +AeNormal(f); +f[4] = y4+t3y+x3y+xy3+x2y2; +AeNormal(f); +f[4] = y4+t3y+xy3+x2y2; +AeNormal(f);f +; +f[4] = y4+t3y+xy3+x2y2+x3y; +AeNormal(f);f +; +AeNormal(f); +f[4] = y4+t3y+xy3+x2y2+x3y; +AeNormal(f); +f[4] = y4+t3y+xy3+x3y; +AeNormal(f); +f[4] = y4+t3y+xy3+x2y2+x3y; +AeNormal(f); +f[4] = y4+xy3+x2y2+x3y; +AeNormal(f); +f; +AeNormal(f); +f; +f[4] = y4+x3y; +AeNormal(f); +f[4] = y4+x3y+xy3; +AeNormal(f); +f[4] = y4+x2y2+xy3; +AeNormal(f); +f[4] = y4+x3y+x2y2; +AeNormal(f);f +f; +f = t,x,y4+t3y,y5+xy3+x2y3+x3y2+xy4; +size(AeNormal(f)); +f = t,x,y4+t3y,y5+xy3+x2y3+x3y2+xy4+t4y; +size(AeNormal(f)); +f = t,x,y4+t3y,(x+y)^5; +size(AeNormal(f)); +f = t,x,y4+t3y,(x+y)^5+t4y; +size(AeNormal(f)); +f[4]; +f[4]=x5+t4y+x4y+x3y2+x2y3+xy4+y5; +size(AeNormal(f)); +f[4]=t4y+x4y+x3y2+x2y3+xy4+y5; +size(AeNormal(f)); +f[4]=t4y+x3y2+x2y3+xy4+y5; +size(AeNormal(f)); +f[4]=t4y+x4y+x3y2+x2y3+xy4+y5; +size(AeNormal(f)); +f[4]=t4y+x4y+x3y2+x2y3+y5; +size(AeNormal(f)); +f[4]=x4y+x3y2+x2y3+y5; +size(AeNormal(f)); +f = t,x,y4+t3y,(x+y)^3,t2y; +size(AeNormal(f)); +f = t,x,y4+t3y,(x+y)^3+t2y; +size(AeNormal(f)); +f[4]; +f[4] = t2y+x2t+xy2+y3; +size(AeNormal(f)); +f[4] = t2y+x2y+xy2+y3; +size(AeNormal(f)); +f[4] = t2y+3x2y+3xy2+y3; +size(AeNormal(f)); +f[4] =3x2y+3xy2+y3; +size(AeNormal(f)); +f[4] = t3y + 3x2y+3xy2+y3; +size(AeNormal(f)); +f[4] = t5y + 3x2y+3xy2+y3; +size(AeNormal(f)); +f[4] = t10y + 3x2y+3xy2+y3; +size(AeNormal(f)); +f[4] = 3y + 3x2y+3xy2+y3; +size(AeNormal(f)); +f; +size(AeNormal(f)); +f[4] = + 3x2y+3xy2+y3; +size(AeNormal(f)); +f[4] = y; +size(AeNormal(f)); +size(AeNormal(f)); +f = t,x,y3+t2y,(x+y)^4; +AeNormal(f); +f = t,x,y3+t2y,(x+y)^4+t3y; +AeNormal(f); +f[4]; +f[4] = x4+t3y+4x3y+6x2y2+4xy3+y4 +; +AeNormal(f); +size(AeNormal(f)); +f[4] = x4+t3y+4x3y+6x2y2+4xy3+y4; +size(AeNormal(f)); +f[4] = t3y+4x3y+6x2y2+4xy3+y4; +size(AeNormal(f)); +f[4] = t3y+x3y+x2y2+xy3+y4; +size(AeNormal(f)); +f[4] = x3y+x2y2+xy3+y4; +size(AeNormal(f)); +f[4] = t3y+4x3y+6x2y2+4xy3+y4; +size(AeNormal(f)); +f[4] = 4x3y+6x2y2+4xy3+y4; +size(AeNormal(f)); +f[4] = x3y+x2y2+xy3+y4; +size(AeNormal(f)); +f[4] = x2y2+xy3+y4; +size(AeNormal(f)); +f[4] = x3y+x2y2+y4; +size(AeNormal(f)); +f[3] = y4+t3y; +size(AeNormal(f)); +f[4] = (x+y)^5+t4y; +size(AeNormal(f)); +f[4]; +f[4] = x4y+x3y2+x2y3+y5; +size(AeNormal(f)); +f[4]^2; +f[4] = x4y+x3y2+x2y3+y5; +size(AeNormal(f)); +f[4] = x4y+x3y2+y5; +size(AeNormal(f)); +f[4] = x4y+2x3y2+y5; +size(AeNormal(f)); +f[4] = x4y+3x3y2+y5; +size(AeNormal(f)); +f[4] = 5x4y+3x3y2+y5; +size(AeNormal(f)); +f; +f = t,x,(x+y)^4+t2y,y3+t2y; +AeNormal(f); +f: +; +f = t,x,(x+y)^4+t3y,y3+t2y; +AeNormal(f); +f = t,x,(x+y)^4+t2y,y3+t2y; +AeNormal(f); +f = t,x,(x+y)^5+t2y,y3+t2y; +AeNormal(f); +f = t,x,(x+y)^5+t2y,y4+t2y; +AeNormal(f); +f; +f = t,x,(x+y)^4+t3y,y3+t2y; +AeNormal(f); +f = t,x,(x+y)^4+t3y,y3; +AeNormal(f); +f = t,x,(x+y)^4+t3y,y3+t2y; +f = t,x,(x+y)^4+t3y,y3+t2y; +AeNormal(f); +f[3]; +f = t,x,(x+y)^4+t3y,y3+t2y; +f[3]; +f[3] = x4+x3y+x2y2+xy3+y4; +AeNormal(f); +f; +LIB"AeCodPruebas.lib"; +ring r = 0,(t,x,y),ds; +map f = t,x,y3+t2y,y4+x3y; +ideal f = t,x,y3+t2y,y4+x3y; +size(AeNormal(f)); +ideal f = t,x,y5+t4y,y6+x5y; +size(AeNormal(f)); +ideal f = t,x,y5+t4y,y6+(x5+t4)*y; +size(AeNormal(f)); +ideal f = t,x,y3+t2y,y4+xy3+x2y2+x3y; +size(AeNormal(f)); +ideal f = t,x,y3+t2y,xy3+x2y2+x3y; +size(AeNormal(f)); +ideal f = t,x,y3+t2y,y4+xy3+x2y2+x3y; +size(AeNormal(f)); +ideal f = t,x,y3+t2y,y4+xy3+x3y; +size(AeNormal(f)); +ideal f = t,x,y3+t2y,y4+xy3-x3y; +size(AeNormal(f)); +ideal f = t,x,y3+t2y,y4+xy3+x2y2+x3y; +ideal f = t,x,y3+t2y,y4+x2y2+x3y; +ideal f = t,x,y3+t2y,y4+xy3+x2y2+x3y; +ideal f = t,x,y3+t2y,y4+x2y2+x3y; +size(AeNormal(f)); +ideal f = t,x,y4+t2y,y5+x2y2+x3y; +size(AeNormal(f)); +ideal f = t,x,y4+t3y,y5+x4y+x3y2; +size(AeNormal(f)); +ideal f = t,x,y4+t3y,y5+x4y+x3y2+x2y3; +size(AeNormal(f)); +quit; diff --git a/.singularhistory-82675.tmp b/.singularhistory-82675.tmp new file mode 100644 index 0000000..e69de29 diff --git a/main.pdf b/main.pdf new file mode 100644 index 0000000000000000000000000000000000000000..1c2582e7b5acc8971dc737768f68869b462da3a3 GIT binary patch literal 189652 zcma&NQ+Fj?(6*aot=P6Zwyh33wr$(CZQHipu{ySGoBMh9*xx>RPrf-u)vWpjRrfXT zNhU8MM#n_Y217QxIJ^qO#7e|SWM^mz!^;c9AZ=o6=4?*H#=^=(^#2|h1~Ch3XA?&v z1~F>`XA=<z|-+V$6y7Pvo9Frct=Yur}1lL~35M85p}9IQBL;}7@S*&puv zpN}evo$lndUviFrjtsj1!E zsqyf5EXc6K4S@-s3rRbV+mezx*Ze3f|eUpclb>z}kZ)TR-g<%(q z57T~~8a)cQaU*GG1e`coMZ8UjU4UYw>`zMMqH@Zh9i0porp*?iwcnY@;HQQu4rxa= zV|qGc3VVW3M6eRXgIh~)RCJVZjqNT~bogqidw*Pn{#JNzB&)DH373r(oOCo<22M`e z?MX|_6s)J@u<&t-+U)|$a$@D#yh8xC`Lz%2f(Z1Usqky*dRl@mrHq6cLq~cAZ%*%a zdTE;|z}rb3eOif9e)b7`TJu^9lQW#h8l|*QKZ^#sEAUrGeG;{6*Wb?Qsl2=35|52D z@lg5mXtn1r4rUU@>}UY!=?t@wH#GEKj_OXgm#EkOKjfSr%zvQ)-&1z>{rK+ 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