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Diffstat (limited to 'src/input/regset.input.pamphlet')
-rw-r--r-- | src/input/regset.input.pamphlet | 56 |
1 files changed, 56 insertions, 0 deletions
diff --git a/src/input/regset.input.pamphlet b/src/input/regset.input.pamphlet new file mode 100644 index 00000000..1e52bfb7 --- /dev/null +++ b/src/input/regset.input.pamphlet @@ -0,0 +1,56 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input REGSET.input} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +<<*>>= + +-- Input generated from RegularTriangularSetXmpPage +)clear all + +R := Integer +ls : List Symbol := [x,y,z,t] +V := OVAR(ls) +E := IndexedExponents V +P := NSMP(R, V) +x: P := 'x +y: P := 'y +z: P := 'z +t: P := 't +T := REGSET(R,E,V,P) +p1 := x ** 31 - x ** 6 - x - y +p2 := x ** 8 - z +p3 := x ** 10 - t +lp := [p1, p2, p3] +zeroSetSplit(lp)$T +lts := zeroSetSplit(lp,false)$T +[coHeight(ts) for ts in lts] +f1 := y**2*z+2*x*y*t-2*x-z +f2 := -x**3*z+ 4*x*y**2*z+ 4*x**2*y*t+ 2*y**3*t+ 4*x**2- 10*y**2+ 4*x*z- 10*y*t+ 2 +f3 := 2*y*z*t+x*t**2-x-2*z +f4 := -x*z**3+ 4*y*z**2*t+ 4*x*z*t**2+ 2*y*t**3+ 4*x*z+ 4*z**2-10*y*t- 10*t**2+2 +lf := [f1, f2, f3, f4] +zeroSetSplit(lf)$T +lts2 := zeroSetSplit(lf,false)$T +[coHeight(ts) for ts in lts2] +degrees := [degree(ts) for ts in lts2] +reduce(+,degrees) +u : R := 2 +q1 := 2*(u-1)**2+ 2*(x-z*x+z**2)+ y**2*(x-1)**2- 2*u*x+ 2*y*t*(1-x)*(x-z)+ 2*u*z*t*(t-y)+ u**2*t**2*(1-2*z)+ 2*u*t**2*(z-x)+ 2*u*t*y*(z-1)+ 2*u*z*x*(y+1)+ (u**2-2*u)*z**2*t**2+ 2*u**2*z**2+ 4*u*(1-u)*z+ t**2*(z-x)**2 +q2 := t*(2*z+1)*(x-z)+ y*(z+2)*(1-x)+ u*(u-2)*t+ u*(1-2*u)*z*t+ u*y*(x+u-z*x-1)+ u*(u+1)*z**2*t +q3 := -u**2*(z-1)**2+ 2*z*(z-x)-2*(x-1) +q4 := u**2+4*(z-x**2)+3*y**2*(x-1)**2- 3*t**2*(z-x)**2 +3*u**2*t**2*(z-1)**2+u**2*z*(z-2)+6*u*t*y*(z+x+z*x-1) +lq := [q1, q2, q3, q4] +zeroSetSplit(lq,true,true)$T +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |