"Source: Text/Ring/FldFunG.text";
"Line: 5137";
"Date: Fri Sep 26 13:15:42 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/FldFunG.text, line: 5137
// Example: H46E33 ()
print "Example: H46E33";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(GF(79));
P<y> := PolynomialRing(P);
Fa<a> := FunctionField(y^2 - x);
P<y> := PolynomialRing(Fa);
Fb<b> := FunctionField(y^2 - a);
P<y> := PolynomialRing(Fb);
Fc<c> := FunctionField(y^2 + a*b);
I := a*b*c*MaximalOrderInfinite(Fc);
IsSquare(I^2);
_, II := $1; 
II eq I;
assert $1;
MaximalOrderFinite(Fc)!!I;
SetEchoInput(ei);
