If $(\omega \neq 1)$ is a cubic root of unity, then $\begin{vmatrix} 1 & 1+i + \omega^2 & \omega^2 \\ 1-i & -1 & \omega^2 - 1\\ -i & -1+\omega -i & -1 \end{vmatrix}$ equals :

Question

( A ) $\omega$
( B ) zero
( C ) $1$
( D ) $i$