  In this paper, we survey the analytic structure of the MNS matrix with
diagonal reflection symmetries. If the mass matrix of charged leptons $m_{e}$
is hierarchical (i.e., $|(m_{e})_{33}| \simeq m_{\tau} \gg |(m_{e})_{1i ,
j1}|$), by neglecting the 1-3 mixing of $m_{e}$, the MNS matrix is represented
by four parameters and several sign degrees of freedom. By substituting the
three observed mixing angles $\theta_{ij}$ as input parameters, the Dirac phase
$\delta$ and the Majorana phases $\alpha_{2,3}$ become functions of the 1-2
mixing of charged leptons $s_{e}$. As a result, we obtain clear correlations
between CP-violating phases $|\sin \delta| \simeq 1.6 |\sin \alpha_{2}| \simeq
2.5 |\sin \alpha_{3}|$.
  Although the Majorana phases are difficult to observe, by combining these
symmetries with a model that has determined mass values (such as the minimal
seesaw model), the effective mass of the double beta decay can be displayed as
a function of $\delta$.
