The locus of the complex number $Z$ such that $\arg \left(\frac{Z-1}{Z+1}\right)=\frac{\pi}{4}$ is

All the values of $(8 i)^{\frac{1}{3}}$ are

If the number of real roots of $x^9-x^5+x^4-1=0$ is $n$, the number of complex roots having argument on imaginary axis is $m$ and the number of complex roots having argument in 2nd quadrant is $K, m \cdot n \cdot k=$

Imaginary part of $\frac{(1-i)^3}{(2-i)(3-2 i)}$ is