If $\omega \ne 1$ is a cube root of unity and $i = \sqrt{-1}$, the value of the determinant $\left|\begin{matrix} 1 & 1+i+\omega^2 & \omega \\ 1-i & -1 & \omega^2 - 1 \\ -i & -i+\omega-1 & -\omega^3 \end{matrix}\right|$ is