"Source: Text/RepThy/GalRep.text";
"Line: 1022";
"Date: Fri Sep 26 12:10:12 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/RepThy/GalRep.text, line: 1022
// Example: H58E23 ()
print "Example: H58E23";
ei := GetEchoInput();
SetEchoInput(true);
K:=pAdicField(3,20);
R<x>:=PolynomialRing(K);
F:=ext<K|x^3-3>;
list:=GaloisRepresentations(F,K);
forall{A: A in list | BaseField(A) eq K};
[Degree(A): A in list];
SetEchoInput(ei);
