"Source: Text/Ring/FldFunG.text";
"Line: 5847";
"Date: Fri Sep 26 13:15:42 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/FldFunG.text, line: 5847
// Example: H46E35 ()
print "Example: H46E35";
ei := GetEchoInput();
SetEchoInput(true);
R<x> := FunctionField(GF(3));
P<y> := PolynomialRing(R);
f := y^4 + x*y + x^4 + x + 1;
F<a> := FunctionField(f);
O := MaximalOrderFinite(F);
x*O;
L := Factorization(x*O);
L;
P1 := L[1][1];
P2 := L[2][1];
BasisMatrix(P1);
P1 meet P2 eq x*O;
assert $1;
IsPrime(P1);
assert $1;
Place(P1);
SetEchoInput(ei);
