Let $\omega=-\large\frac{1}{2}$$+i\large\frac{\sqrt 3}{2}$.Then the value of the determinant $\begin{vmatrix}1&1&1\\1&-1-\omega^2&\omega^2\\1&\omega^2&\omega^4\end{vmatrix}$ is

Question

$(a)\;3\omega\qquad(b)\;3\omega(\omega-1)\qquad(c)\;3\omega^2\qquad(d)\;3\omega(1-\omega)$