"Source: Text/RepThy/GalRep.text";
"Line: 378";
"Date: Fri Sep 26 12:10:12 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/RepThy/GalRep.text, line: 378
// Example: H58E6 ()
print "Example: H58E6";
ei := GetEchoInput();
SetEchoInput(true);
K:=pAdicField(37,20);
R<x>:=PolynomialRing(Rationals());
rho:=UnramifiedRepresentation(K,(1-37*x)*(1-3*x));
rho;
rho eq CyclotomicCharacter(K)^(-1)+UnramifiedCharacter(K,3);
SetEchoInput(ei);
