"Source: Text/Ring/FldFunG.text";
"Line: 508";
"Date: Thu Jun 16 15:04:46 2022";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Ring/FldFunG.text, line: 508
// Example: H45E6 ()
print "Example: H45E6";
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);
IntegralClosure(R, F);
IntegralClosure(PolynomialRing(GF(5)), F);
IntegralClosure(ValuationRing(R), F);
SetEchoInput(ei);
