N.M. Stat. § 12-4-2
[Registration.]
That to effectuate the public policy as set out in Section 1 [12-4-1 NMSA 1978]
hereinabove every communist organization, affiliate of the communist party or supporter
or advocate of communistic doctrine, or any person or organization which believes in,
teaches or advocates the overthrow of the government of the United States or of the
state of New Mexico by force or by any illegal or unconstitutional methods or means,
shall register with the secretary of state of New Mexico. Such registration shall be
accomplished in such manner and on such forms as may be prescribed by the secretary
of state. All organized groups or associations falling into the category required to
register under this act [12-4-1 to 12-4-3 NMSA 1978], shall file a list of all of the
members of such organization with the secretary of state, such list to show the names
of all members, their addresses and designation of all officials of such organization. All
individuals required by this act to register shall file their name [names], address
[addresses] and the names of the organizations or associations to which they belong as
members.
Registration under this act shall be completed within six calendar months after the
passage of this act, and registrants shall reregister annually thereafter, such
reregistration period to begin on April 1st and ending on May 1st of each year.