"Source: Text/Group/GrpFPInt.text";
"Line: 926";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpFPInt.text, line: 926
// Example: H79E12 ()
print "Example: H79E12";
ei := GetEchoInput();
SetEchoInput(true);
G<a, b> := FPGroup< a, b | a^2, b^a = b^-1 >;
G;
yes, A := IsAutomaticGroup(G);
yes;
R<x> := RationalFunctionField(Integers());
f := GrowthFunction(A);
f;
PSR := PowerSeriesRing(Integers(): Precision := 15);
s<t> := PSR!f;
s;
SetEchoInput(ei);
