Let $\omega=\mathrm{z} \overline{\mathrm{z}}+\mathrm{k} 1 \mathrm{z}+\mathrm{k} 2 \mathrm{z}+\lambda(1+\mathrm{j}), \mathrm{k}_1, \mathrm{k} 2 \in \mathbb{R}$. Let $\operatorname{Re}(\omega)=0$ be the circle C of radius 1 in the first quadrant touching the line $y=1$ and the $y$-axis. If the curve $\operatorname{lm}(\omega)=0$ intersects $C$ at $A$ and $B$, then 30 $(A B)^2$ is equal to $\_\_\_\_$ .