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\documentclass{article}
\usepackage{axiom}
\begin{document}
\title{\$SPAD/src/input CYCLES.input}
\author{The Axiom Team}
\maketitle
\begin{abstract}
\end{abstract}
\eject
\tableofcontents
\eject
<<*>>=
-- Input generated from CycleIndicatorsXmpPage
)clear all
)expose EVALCYC
complete 1
complete 2
complete 3
complete 7
elementary 7
alternating 7
cyclic 7
dihedral 7
graphs 5
cap(complete 2**2, complete 2*complete 1**2)
cap(elementary 2**2, complete 2*complete 1**2)
cap(complete 3*complete 2*complete 1,complete 2**2*complete 1**2)
cap(elementary 3*elementary 2*elementary 1,complete 2**2*complete 1**2)
cap(complete 3*complete 2*complete 1,elementary 2**2*elementary 1**2)
eval(cup(complete 3*complete 2*complete 1, cup(complete 2**2*complete 1**2,complete 2**3)))
square:=dihedral 4
cap(complete 2**2,square)
cap(complete 3*complete 2**2,dihedral 7)
cap(graphs 5,complete 7*complete 3)
s(x) == powerSum(x)
cube:=(1/24)*(s 1**8+9*s 2**4 + 8*s 3**2*s 1**2+6*s 4**2)
cap(complete 4**2,cube)
cap(complete 2**3*complete 1**2,wreath(elementary 4,elementary 2))
cap(complete 2**3*complete 1**2,wreath(elementary 4,complete 2))
cap(complete 2**3*complete 1**2,wreath(complete 4,elementary 2))
cap(complete 2**3*complete 1**2,wreath(complete 4,complete 2))
x: ULS(FRAC INT,'x,0) := 'x
ZeroOrOne: INT -> ULS(FRAC INT, 'x, 0)
Integers: INT -> ULS(FRAC INT, 'x, 0)
ZeroOrOne n == 1+x**n
ZeroOrOne 5
Integers n == 1/(1-x**n)
Integers 5
eval(ZeroOrOne, graphs 5)
eval(ZeroOrOne,dihedral 8)
eval(Integers,complete 4)
eval(Integers,elementary 4)
eval(ZeroOrOne,cube)
eval(Integers,cube)
eval(Integers,graphs 5)
eval(ZeroOrOne ,graphs 15)
cap(dihedral 30,complete 7*complete 8*complete 5*complete 10)
sf3221:= SFunction [3,2,2,1]
cap(sf3221,complete 2**4)
cap(sf3221, powerSum 1**8)
eval(Integers, sf3221)
@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}
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