"Source: Text/Ring/FldFunG.text";
"Line: 2189";
"Date: Thu Jun 16 15:04:46 2022";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Ring/FldFunG.text, line: 2189
// Example: H45E17 ()
print "Example: H45E17";
ei := GetEchoInput();
SetEchoInput(true);
F<t> := FunctionField(GF(5));
P<x> := PolynomialRing(F);
f := x^6 + (2*t + 3)*x^4 + 3*t*x^3 + (3*t^2 + 1)*x^2 + 
(4*t^2 + 2*t)*x + 4*t^3 + 3*t^2 + 4*t;
K, R := SolveByRadicals(f:Name := "K.");
K:Maximal;
[ Evaluate(f, x) eq 0 : x in R];
SetEchoInput(ei);
