"Source: Text/Ring/FldFunG.text";
"Line: 3898";
"Date: Fri Sep 26 13:15:42 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/FldFunG.text, line: 3898
// Example: H46E28 ()
print "Example: H46E28";
ei := GetEchoInput();
SetEchoInput(true);
R<x> := FunctionField(GF(5));
P<y> := PolynomialRing(R);
f := y^3 + (4*x^3 + 4*x^2 + 2*x + 2)*y^2 + (3*x + 3)*y + 2;
F<alpha> := FunctionField(f);
Evaluate(f, alpha);
assert $1 eq 0;
F.1;
b := x + alpha + 1/x*alpha^2;
b;
b eq F ! [x, 1, 1/x];
assert $1;
SetEchoInput(ei);
