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We explore the consequences of the neutrino mass matrix having a hidden$\mathcal{Z}_2$ symmetry and one zero eigenvalue. When implemented, these twoconditions give relations among the mixing angles. In addition, fitting theserelations to the existing oscillation data allows limits to be placed on theparameter of the symmetry.

Generalized Hidden $\mathcal{Z}_2$ Symmetry of Neutrino Mixing