N.M. Stat. § 73-20-39
Election of supervisors; district zones.
In adopting and publishing rules for the election of supervisors and the registration of
district voters, the commission may, to ensure proper representation of district voters
and to facilitate district functions, provide for the geographic zoning of a district. The
commission shall provide for the proper and equitable representation for each faction
geographically zoned in the district. If a district is divided, or if two or more districts are
consolidated, the commission shall provide for the geographic zoning of the resulting
district or districts within thirty days after the secretary of state issues the certificate of
organization for each new district.