New Mexico Statutes Chapter 1. Elections § 1-1-5.3. Overseas voter

A. is temporarily absent from the individual's residence in this state;

B. before leaving the United States, was last eligible to vote in this state and, except for a state residency requirement, otherwise satisfies this state's voter eligibility requirements;

C. before leaving the United States, would have been last eligible to vote in this state had the voter then been of voting age and, except for a state residency requirement, otherwise satisfies this state's voter eligibility requirements; or

D. was born outside the United States, is not otherwise described in this section and, except for a state residency requirement, otherwise satisfies this state's voter eligibility requirements, if: