"Source: Text/RepThy/GalRep.text";
"Line: 518";
"Date: Fri Sep 26 12:10:12 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/RepThy/GalRep.text, line: 518
// Example: H58E10 ()
print "Example: H58E10";
ei := GetEchoInput();
SetEchoInput(true);
K:=pAdicField(2,20);
R<x>:=PolynomialRing(K);
F:=ext<K|x^8+2>;
list:=GaloisRepresentations(F,K);
list;
min:=[Minimize(rho): rho in list | not IsFaithful(Character(rho))];
min;
SetEchoInput(ei);
