"Source: Text/RepThy/GalRep.text";
"Line: 1935";
"Date: Fri Sep 26 12:10:12 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/RepThy/GalRep.text, line: 1935
// Example: H58E50 ()
print "Example: H58E50";
ei := GetEchoInput();
SetEchoInput(true);
K:=pAdicField(2,20);
R<x>:=PolynomialRing(K);
A:=GaloisRepresentations(x^3-2)[3]; A;
L:=ext<K|2>;
R:=Restriction(A,L); R;
IsIrreducible(A),IsIrreducible(R);
SetEchoInput(ei);
