"Source: Text/RepThy/GalRep.text";
"Line: 628";
"Date: Fri Sep 26 12:10:12 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/RepThy/GalRep.text, line: 628
// Example: H58E13 ()
print "Example: H58E13";
ei := GetEchoInput();
SetEchoInput(true);
K:=pAdicField(2,20);
R<x>:=PolynomialRing(K);
F:=ext<K|x^3-2>;
rho:=PermutationCharacter(F,K);
rho!![1,1,1];
rho!![6,0,0];
rho!![0,0,0];   // but not [-1,0,0] - may not be virtual
SetEchoInput(ei);
