N.M. Stat. § 19-7-38
All such assignments shall be presented to the commissioner of public lands for his approval, and, after approval by the commissioner, shall be indexed in a book kept for that purpose and filed in a suitable place provided by the commissioner. The commissioner is authorized and directed to provide and install, as soon as possible after the passage of this act [19-7-37 to 19-7-45 NMSA 1978], a full and complete system for the indexing and filing in his office of such assignments, as is necessary for carrying out the provisions of this act, and such indexes and files shall be open for inspection by the public during business hours of the office of the commissioner of public lands, under such reasonable rules and regulations as may be prescribed by the commissioner.
NMS § 19-7-38