\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}