"Source: Text/Ring/FldAC.text";
"Line: 1229";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/FldAC.text, line: 1229
// Example: H44E6 ()
print "Example: H44E6";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(IntegerRing());
SetEchoInput(false);
load galpols;
SetEchoInput(true);
PolynomialWithGaloisGroup(8, 6);
f := $1;
#GaloisGroup(f);
assert $1 eq 16;
A := AlgebraicClosure();
r := Roots(f, A);
#r;
assert $1 eq 8;
A;
time Simplify(A);
A;
AbsolutePolynomial(A);
SetEchoInput(ei);
