"Source: Text/Ring/Char.text";
"Line: 408";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/Char.text, line: 408
// Example: H43E1 ()
print "Example: H43E1";
ei := GetEchoInput();
SetEchoInput(true);
Q := NumberField(Polynomial([-1, 1]) : DoLinearExtension);
O := IntegerRing(Q);
I := 5*O;
DirichletGroup(I);
D := DirichletGroup(I, [1]); D; // include first real place
[ IsTrivialOnUnits(x) : x in Elements(D) ];
hl := HeckeLift(D.1 * D.2);
hl(2);
hl(2) eq (D.1 * D.2)(2);
assert $1;
SetEchoInput(ei);
