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Let a,b,c are non real number satisfying equation x5=1 and S be the set of

Let a,b,c are non real number satisfying equation x5=1 and S be the set of all non-invertible matrices of the from ⎣⎢⎢⎡​1ww2​a1w​bc1​⎦⎥⎥⎤​ where w=e512π​. The number of distinct matrices in set S is

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