A charge is kept at the central point $$P$$ of a cylindrical region. The two edges subtend a half-angle $$\theta$$ at $$P$$, as shown in the figure. When $$\theta = 30^\circ$$, then the electric flux through the curved surface of the cylinder is $$\Phi$$. If $$\theta = 60^\circ$$, then the electric flux through the curved surface becomes $$\Phi / \sqrt{n}$$, where the value of $$n$$ is ________.