The conjugate of the complex number $${{{{(1 + i)}^2}} \over {1 - i}}$$ is

The imaginary part of $$i^i$$ is

The amplitude of $${(1 + i)^5}$$ is

If $$1,\omega ,{\omega ^2}$$ are the cube roots of unity, then $$(1 + \omega )(1 + {\omega ^2})(1 + {\omega ^4})(1 + {\omega ^8})$$ is equal to