"Source: Text/Commut/RngInvar.text";
"Line: 749";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Commut/RngInvar.text, line: 749
// Example: H120E5 ()
print "Example: H120E5";
ei := GetEchoInput();
SetEchoInput(true);
K<z> := CyclotomicField(5);
w := -z^3 - z^2;
G := MatrixGroup<3,K |
   [1,0,-w, 0,0,-1, 0,1,-w],
   [-1,-1,w, -w,0,w, -w,0,1]>;
M<t> := MolienSeries(G);
M;
P<u> := PowerSeriesRing(IntegerRing());
P ! M;
Coefficients(P ! M);
time [#InvariantsOfDegree(G, i): i in [0 .. 19]];
SetEchoInput(ei);
