"Source: Text/Ring/FldFunG.text";
"Line: 3852";
"Date: Thu Jun 16 15:04:46 2022";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Ring/FldFunG.text, line: 3852
// Example: H45E28 ()
print "Example: H45E28";
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);
