During the reading of the results of the votes cast, any candidate or watcher who desires to be present shall be admitted to the polling place. The proclamation of the result of the votes cast shall be distinctly announced by the presiding judge, who shall read the name of each candidate and the vote registered on the printed returns. The presiding judge shall also read the vote cast for and against each constitutional amendment or other question submitted. During the proclamation, ample opportunity shall be given to any person lawfully present to compare the result so proclaimed with the printed returns, and any necessary corrections shall then and there be made by the precinct board [election board].
NMS § 1-12-38