N.M. Stat. § 39-6-2
[Effect of filing, noting, indexing, copy of writ.]
Such process, when so filed, noted and indexed, shall have all the binding force as a
lien upon said livestock, as if the same had been levied against said livestock upon the
range and the officer had taken possession of the same. Upon the next roundup after
such levy, and at all times after such levy until such writ is satisfied, all persons coming
into possession of any such livestock shall treat said officer as the owner thereof.