Let the complex numbers \( \alpha \) and \( \dfrac{1}{\alpha} \) 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 \( 100\,|\alpha|^{2} \) is __________ .
