N.M. Stat. § 1-14-16
Recount or recheck proceedings.
A. Immediately after filing of the application for recount or recheck, or notice of an automatic
recount, the appropriate canvassing board shall issue an order to the county clerk of each
county where a precinct specified in the application or notice is located commanding the county
clerk to convene a recount precinct board [election board] at the county seat on a day specified
in the order, which date shall not be more than ten days after the filing of the application for a
recount or recheck or notice of an automatic recount.
B. Upon receipt of the order, the county clerk shall appoint a recount precinct board [election
board] pursuant to the provisions of Section 1-2-12 NMSA 1978 and shall send notices of the
names of the recount precinct board [election board] members and the date fixed for the recount
or recheck to the district judge for the county and the county chair of each of the political parties
that participated in the election for the office in question. The county clerk shall keep a log of
how each person was notified and confirmation that the notice was received. Presiding judges
and election judges on the recount precinct board [election board] shall be appointed from
among those persons who served as precinct board [election board] members in the most
recent election.
C. The recount precinct board [election board], district judge and county clerk shall meet on
the date fixed for the recount or recheck, and the ballot boxes and ballot containers or voting
machines of the precincts involved in the recount or recheck shall be opened. The recount
precinct board [election board] shall recount and retally the ballots, or recheck the votes cast on
the voting machines, as the case may be, for the office in question in the presence of the county
clerk, district judge and any other person who may desire to be present.
D. After completion of the recount or recheck, the recount precinct board [election board]
shall replace the ballots in the ballot boxes and ballot containers and lock them, or the voting
machines shall be locked and resealed, and the precinct board [election board] shall certify to
the proper canvassing board the results of the recount or recheck. The district judge and the
county clerk shall also certify that the recount or recheck was made in their presence.