"Source: Text/Ring/RngOrdGal.text";
"Line: 1816";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/RngOrdGal.text, line: 1816
// Example: H40E6 ()
print "Example: H40E6";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(IntegerRing());
f := x^6 - x^5 - 6*x^4 + 7*x^3 + 4*x^2 - 5*x + 1;
K, R := SolveByRadicals(f:Name := "K.");
K:Maximal;
[ Evaluate(f, x) eq 0 : x in R];
SetEchoInput(ei);
