x_R := PolynomialAlgebra( IntegerRing() ); x_x := Generator(x_R, 1); x_O := MaximalOrder(x_x^2 - 18); x_a := Element(x_O, [0,1] ); x_Ox := PolynomialAlgebra( x_O ); x_x := Generator(x_Ox, 1); x_OO := MaximalOrder( x_x^3 - 27*x_a ); x_b := Element(x_OO, [1,0,1]); AbsoluteTrace(x_b); Trace(x_b); Trace(x_b, x_O);