N.M. Stat. § 22-5-4.15
Contract extension or termination of local
superintendent; limitation.
A local school board shall not, during any time between the date of a regular local
election in which school board positions are on the ballot and sixty days after the
convening of the newly elected board or until sixty days after a majority of a local school
board has been appointed:
A. extend the local superintendent's contract; or
B. terminate the local superintendent without cause.