New Mexico Statutes 1-2-29. Watchers and election observers; permissible activities
A. Upon presentation to a precinct board [election board] of a written appointment, a watcher or election observer may:
(1) be present at any time from the time the precinct board [election board] convenes at the polling place until the completion of the precinct board’s [election board’s] duties after the polls close;
(2) be permitted to observe that the election is being conducted in accordance with the Election Code;
(3) view the precinct voter list to ascertain whether a voter has voted, subject to the same prohibitions and restrictions as are placed upon challengers by the Election Code;
(4) view any voting machine being used in the precinct in the same manner that challengers may examine the voting machines; and
(5) make in any polling place and preserve for future reference written memoranda of any action or omission on the part of any member of the precinct board [election board] charged with the performance of a duty by the Election Code.
B. A watcher appointed on behalf of candidates may be present only in polling locations within the county of appointment at which ballots are cast for at least one of the candidates making the appointment.