N.M. Stat. § 1-7-7
Major political party; minor political party.
As used in the Election Code [Chapter 1 NMSA 1978]:
A. "major political party" means any qualified political party, any of whose candidates
received as many as five percent of the total number of votes cast at the last preceding general
election for the office of governor or president of the United States, as the case may be, and
whose membership totals not less than one-third of one percent of the statewide registered
voter file on the day of the governor's primary election proclamation; and
B. "minor political party" means any qualified political party that is not qualified as a major
political party pursuant to Subsection A of this section.