If 1, $\mathrm{w}, {\mathrm{w}}^2$ are the cube roots of unity then

$\left|\begin{array}{ccc}1& {\mathrm{w}}^{\mathrm{n}}& {\mathrm{w}}^{2\mathrm{n}}\\ {\mathrm{w}}^{\mathrm{n}}& {\mathrm{w}}^{2\mathrm{n}}& 1\\ {\mathrm{w}}^{2\mathrm{n}}& 1& {\mathrm{w}}^{\mathrm{n}}\end{array}\right|=$

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