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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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# test010.in - Colin Ramsay - 2 Oct 99
#
# Playing with the ordinary (p,q,r) triangle groups.  That is:
#   < x,y,z | x^p = y^q = z^r = xyz = 1 >.
# Note that z = (xy)^-1 = YX.

# <xx,yy,xyz,z^r> has order 26?

gr:xyz;
rel:xx,yy,zzz,xyz;
mess:1000;
end;

# <xx,yyy,z^r,xyz> ...

rel:xx,yyy,zzzz,xyz;
end;