N.M. Stat. § 74-6-13
Construction.
The Water Quality Act provides additional and cumulative remedies to prevent,
abate and control water pollution, and nothing abridges or alters rights of action or
remedies in equity under the common law or statutory law, criminal or civil. No provision
of the Water Quality Act or any act done by virtue thereof estops the state or any
political subdivision or person as owner of water rights or otherwise, in the exercise of
their rights in equity or under the common law or statutory law to suppress nuisances or
to abate pollution.