"Source: Text/Basics/FldNear.text";
"Line: 702";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Basics/FldNear.text, line: 702
// Example: H23E7 ()
print "Example: H23E7";
ei := GetEchoInput();
SetEchoInput(true);
N := DicksonNearfield(3^3,13);
zeta := N`prim;
x := N!(zeta^((3^39-1) div (3^13-1)));
S := sub< N | x >;
U := UnitGroup(S);
IsAbelian(U);
assert $1;
Factorisation(#N);
Factorisation(#S);
Factorisation(#Kernel(N));
S;
SetEchoInput(ei);
