"Source: Text/RepThy/GalRep.text";
"Line: 1077";
"Date: Fri Sep 26 12:10:12 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/RepThy/GalRep.text, line: 1077
// Example: H58E25 ()
print "Example: H58E25";
ei := GetEchoInput();
SetEchoInput(true);
K:=pAdicField(2,20);
R<x>:=PolynomialRing(K);
A:=GaloisRepresentations(x^4+x^3+x^2+x+1)[4]; A;
frob:=FrobeniusElement(A); frob;
F<u>:=Field(A);
Valuation(Automorphism(A,frob)(u)-u^2) gt 0;
SetEchoInput(ei);
