"Source: Text/RepThy/GalRep.text";
"Line: 667";
"Date: Fri Sep 26 12:10:12 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/RepThy/GalRep.text, line: 667
// Example: H58E14 ()
print "Example: H58E14";
ei := GetEchoInput();
SetEchoInput(true);
G<chi>:=FullDirichletGroup(7);
GaloisRepresentation(chi,2);
GaloisRepresentation(chi,3);
GaloisRepresentation(chi,7);
loc1:=EulerFactor(chi,2);
loc2:=EulerFactor(ArtinRepresentation(chi),2);
loc3:=EulerFactor(GaloisRepresentation(chi,2));
loc4:=EulerFactor(GaloisRepresentation(ArtinRepresentation(chi),2));
[PolynomialRing(ComplexField(5))| loc1,loc2,loc3,loc4];
SetEchoInput(ei);
