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--Copyright The Numerical Algorithms Group Limited 1991.

alternatingGroup 4
% :: List Permutation Integer
li := %
pgr := MonoidRing(Polynomial PrimeField 5, Permutation Integer)
p : pgr := first  li
q : pgr := first  li
basis  := [p,q,p*p,p*q, q*p,q*q, p*q*q, p*q*p, q*p*q,q*q*p,q*p*q*q,q*q*p*q]
% :: Set          MonoidRing(Polynomial PrimeField 5,Permutation Integer)