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The roots of equation z^(n)=1 are z(0),z...

The roots of equation `z^(n)=1` are `z_(0),z_(1), z_(2),...,,z_(n-1)` taken in anticlockwise sense on the complex plane with `z_(0)=1` ,if the angle subtended by `z_(2)` and `z_(n-2)` at the origin is `pi/4` ,then `n=`

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