Let the complex numbers α and 1/(ᾱ) lie on the circles |z-z_0|^2=4 and |z-z_0|^2=16 respectively, where z_0=1+i. Then, the value of 100|α|^2 is ____.

Let the complex numbers $\displaystyle \alpha$ and $\displaystyle \frac{1}{\bar{\alpha}}$ lie on the circles $\displaystyle \left|z-z_0\right|^2=4$ and $\displaystyle \left|z-z_0\right|^2=16$ respectively, where $\displaystyle z_0=1+i$. Then, the value of $\displaystyle 100|\alpha|^2$ is $\displaystyle \_\_\_\_$.