For a real number α, if the system \(\begin{bmatrix} 1 & \alpha & \alpha^2 \\ \alpha & 1 & \alpha \\ \alpha^2 & \alpha & 1 \\ \end{bmatrix} \begin{bmatrix} x \\ y\\ z\end{bmatrix} =\begin{bmatrix} 1\\ -1\\ 1\end{bmatrix}\) has infinite number of solutions, then 1 + α + α2 is equal to
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