"Source: Text/Ring/FldFunG.text";
"Line: 9804";
"Date: Thu Jun 16 15:04:46 2022";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Ring/FldFunG.text, line: 9804
// Example: H45E61 ()
print "Example: H45E61";
ei := GetEchoInput();
SetEchoInput(true);
Fq := GF(13);
A<t> := PolynomialRing(Fq);
Ax<x> := PolynomialRing(A);
f := x^5+(t+1)^16*x^4+ x^2+t^3*x+t^6;
F := FunctionField(f); 
IsPrincipal(OMDivisor(F.1));
IsPositive(OMDivisor(F.1));
IsPositive(ZeroDivisor(F.1)); 
ZeroDivisor(F.1) eq OMDivisor(F.1);
SetEchoInput(ei);
