"Source: Text/Ring/FldFunG.text";
"Line: 4303";
"Date: Thu Jun 16 15:04:46 2022";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Ring/FldFunG.text, line: 4303
// Example: H45E29 ()
print "Example: H45E29";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(Integers());
N<n> := NumberField(x^6 - 6);
P<x> := PolynomialRing(N);
P<y> := PolynomialRing(P);
F<c> := FunctionField(y^8 - x^3*N.1^5);
P<y> := PolynomialRing(F);
F2<d> := FunctionField(y^3 + N.1*F!x - c);
d^10;
Norm(d^10);
Norm(d^10, CoefficientField(F));
Trace(d^10, CoefficientField(F)); 
assert $1 eq 0;
Trace(d^10);
assert $1 eq 0;
SetEchoInput(ei);
