New Mexico Statutes Chapter 1. Elections § 1-12-7. Conduct of election; persons not permitted to vote

A. A person shall not vote in a primary, general or statewide special election unless he is a voter of the county in which he offers to vote. A valid original certificate of registration in the county register is prima facie evidence of being a voter in the precinct.

B. A person whose major party affiliation is not designated on his original certificate of registration shall not vote in a primary election.

C. A person at a primary election shall not be permitted to vote for the candidate of any party other than the party designated on his current certificate of registration.