  We consider the population of critical points, generated from the critical
point of the master function with no variables, which is associated with the
trivial representation of the twisted affine Lie algebra $C_n^{(1)}$. The
population is naturally partitioned into an infinite collection of complex
cells $\mathbb C^m$, where $m$ are positive integers. For each cell we define
an injective rational map $\mathbb C^m \to \mathcal M(C_n^{(1)})$ of the cell
to the space $\mathcal M(C_n^{(1)})$ of Miura opers of type $C_n^{(1)}$. We
show that the image of the map is invariant with respect to all mKdV flows on
$\mathcal M(C_n^{(1)})$ and the image is point-wise fixed by all mKdV flows
$\frac{\partial}{\partial t_r}$ with index $r$ greater than $2m$.
