New Mexico Statutes 1-12-8. Conduct of election; provisional voting
A. A person shall be permitted to vote on a provisional paper ballot even though the person’s original certificate of registration cannot be found in the county register or even if the person’s name does not appear on the signature roster, provided:
(1) the person’s residence is within the boundaries of the county in which the person offers to vote;
(2) the person’s name is not on the list of persons submitting absentee ballots; and
(3) the person executes a statement swearing or affirming to the best of the person’s knowledge that the person is a qualified elector, is currently registered and eligible to vote in that county and has not cast a ballot or voted in that election.
B. A voter shall vote on a provisional paper ballot if the voter:
(1) has not previously voted in a general election in New Mexico or has been purged from the voter list;
(2) registered to vote by mail;
(3) did not submit the physical form of the required voter identification with the certificate of registration form; and
(4) does not present to the election judge a physical form of the required voter identification.
C. A voter shall vote on a provisional paper ballot in accordance with the provisions of Section 1-12-7.1 N.M. Stat. Ann. if the voter does not provide the required voter identification to the election judge.
D. A judge or election clerk shall have the voter sign the signature roster and issue the voter a provisional paper ballot, an outer envelope and an official inner envelope. The voter shall vote on the provisional paper ballot in secrecy and, when done, place the ballot in the official inner envelope and place the official inner envelope in the outer envelope and return it to the judge or election clerk. The judge or election clerk shall ensure that the required information is completed on the outer envelope, have the voter sign it in the appropriate place and place it in an envelope designated for provisional paper ballots.
E. Knowingly executing a false statement constitutes perjury as provided in the Criminal Code [N.M. Stat. Ann. Chapter 30], and voting on the basis of such falsely executed statement constitutes fraudulent voting.