If 1, ω, ω2 are the cube roots of unity and n ∈ N, then D = \(\left| {\begin{array}{*{20}{c}} 1&{{\omega ^n}}&{{\omega ^{2n}}}\\ {{\omega ^{2n}}}&{{\omega ^n}}&1\\ {{\omega ^{2n}}}&1&{{\omega ^n}} \end{array}} \right|\) is equal to

1
0
2
1
3
ω
4
ω2

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