N.M. Stat. § 1-13-18
Post-election duties; state canvass; corrections.
The state canvassing board shall carefully examine all election returns and certificates
issued by the county canvassing boards. If any discrepancy, omission or error appears on their
face, the state canvassing board shall immediately forward such returns or certificate to the
district court in which the precinct or county canvassing board is situated. The district judge
upon receipt of such returns or certificate shall issue a summons to the responsible precinct
board [election board] or county canvassing board, directing them to appear forthwith before him
to complete or correct such returns or certificate.