"Source: Text/RepThy/ArtRep.text";
"Line: 457";
"Date: Fri Sep 26 12:10:12 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/RepThy/ArtRep.text, line: 457
// Example: H48E4 ()
print "Example: H48E4";
ei := GetEchoInput();
SetEchoInput(true);
R<x> := PolynomialRing(Rationals());
K := NumberField(x^4-3);
A := ArtinRepresentations(K);
Degree(Kernel(A[5]),Rationals());
assert $1 eq 8;
[Dimension(a): a in A];
Character(A[5]);
[Conductor(a): a in A];
[IsRamified(a,3): a in A];
[IsWildlyRamified(a,3): a in A];
EulerFactor(A[5],5);
EpsilonFactor(A[5],3);
SetEchoInput(ei);
