"Source: Text/Ring/FldFunG.text";
"Line: 9557";
"Date: Fri Sep 26 13:15:42 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/FldFunG.text, line: 9557
// Example: H46E58 ()
print "Example: H46E58";
ei := GetEchoInput();
SetEchoInput(true);
F<t> := FunctionField(Rationals());
P<x> := PolynomialRing(F);
L<a> := ext<F | x^2 + t>;
Montes(L, Numerator(t)^2+1);
L`PrimeIdeals[Numerator(t)^2+1];
Degree($1[1]); 
ResidueField($2[1]);     
SetEchoInput(ei);
