"Source: Text/Ring/FldFunG.text";
"Line: 1401";
"Date: Fri Sep 26 13:15:42 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/FldFunG.text, line: 1401
// Example: H46E12 ()
print "Example: H46E12";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(Rationals());
P<y> := PolynomialRing(P);
F<a, b> := FunctionField([3*y^3 - x^2, x*y^2 + 1]);
DefiningPolynomials(F);
DefiningPolynomials(EquationOrderFinite(F));
DefiningPolynomials(EquationOrderInfinite(F));
Basis(F);
TransformationMatrix(EquationOrderFinite(F), MaximalOrderFinite(F));
TransformationMatrix(MaximalOrderFinite(F), EquationOrderFinite(F));
SetEchoInput(ei);
