The equation of a circle is Re (z^2)+2( Im (z))^2+2 Re (z)=0, where z=x+ i y. A line which passes through the center of the given circle and the…

The equation of a circle is $\displaystyle \operatorname{Re}\left(z^2\right)+2(\operatorname{Im}(z))^2+2 \operatorname{Re}(z)=0$, where $\displaystyle z=x+\mathrm{i} y$. A line which passes through the center of the given circle and the vertex of the parabola, $\displaystyle x^2-6 x-y+13=0$, has $\displaystyle y$-intercept equal to \_\_\_\_.