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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input ideal.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+--Copyright The Numerical Algorithms Group Limited 1994.
+@
+<<*>>=
+<<license>>
+)clear all
+
+(n,m) : List DMP([x,y],FRAC INT)
+m := [x**2+y**2-1]
+n := [x**2-y**2]
+id := ideal m + ideal n
+zeroDim? id
+zeroDim?(ideal m)
+dimension ideal m
+(f,g):DMP([x,y],FRAC INT)
+f := x**2-1
+g := x*(x**2-1)
+relationsIdeal [f,g]
+l: List DMP([x,y,z],FRAC INT)
+l:=[x**2+2*y**2,x*z**2-y*z,z**2-4]
+ld:=primaryDecomp ideal l
+reduce(intersect,ld)
+reduce(intersect,[radical ld.i for i in 1..2])
+radical ideal l
+quotient(ideal l,y)
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}