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\documentclass{article}
\usepackage{axiom}
\begin{document}
\title{\$SPAD/src/input LEXTRIPK.input}
\author{The Axiom Team}
\maketitle
\begin{abstract}
\end{abstract}
\eject
\tableofcontents
\eject
<<*>>=
)cl all
R := Integer
ls : List Symbol := [a,b,c,d,e,f]
V := OVAR(ls)
P := NSMP(R, V)
p1: P := a*b*c*d*e*f - 1
p2: P := a*b*c*d*e +a*b*c*d*f +a*b*c*e*f +a*b*d*e*f +a*c*d*e*f +b*c*d*e*f
p3: P := a*b*c*d + a*b*c*f + a*b*e*f + a*d*e*f + b*c*d*e + c*d*e*f
p4: P := a*b*c + a*b*f + a*e*f + b*c*d + c*d*e + d*e*f
p5: P := a*b + a*f + b*c + c*d + d*e + e*f
p6: P := a + b + c + d + e + f
lp := [p1, p2, p3, p4, p5, p6]
lextripack := LEXTRIPK(R,ls)
lg := groebner(lp)$lextripack
lexTriangular(lg,false)$lextripack
lts := lexTriangular(lg,true)$lextripack
[[init(p) for p in (ts :: List(P))] for ts in lts]
squareFreeLexTriangular(lg,true)$lextripack
reduce(+,[degree(ts) for ts in lts])
ls2 : List Symbol := concat(ls,new()$Symbol)
zdpack := ZDSOLVE(R,ls,ls2)
concat [univariateSolve(ts)$zdpack for ts in lts]
concat [realSolve(ts)$zdpack for ts in lts]
@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}
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