Congressional and Legislative
Congressional and legislative maps are enacted by the State Legislature. The Governor can veto the plans.
The Legislature can override a veto with a two-thirds vote. No party currently has a veto-proof majority in either chamber.
Source: N.M. Const. art. IV, § 3.
Kinds of Ballot Measures
Initiatives are not permitted to amend statutes, but referendums are permitted. Initiatives are not permitted to amend the state Constitution. Legislatively initiated ballot measures may amend both statutes and the Constitution.
There is not a single-subject rule.
The signature requirement for referendums is 10% of the qualified electors of each of three-fourths of the counties and 10% of the qualified electors of the state, both to be calculated based on the number of votes cast at the last preceding general election. 701,654 people in the 2018 General Election in New Mexico, so 70,165 signatures are required for a veto referendum. Should the referendum receive signatures equal to 25% (175,413) of the qualified electors of the state calculated based on the number of votes cast at the last preceding general election, the targeted law is suspended. Should the referendum receive signatures equal to 40% (280,662) of the qualified electors of the state calculated based on the number of votes cast at the last preceding general election, the targeted law is annulled and repealed.
Referendums must be submitted no less than four months prior to the next general election. If a referendum petition is signed by at least 25% of the qualified electors of the state based on the number of votes cast in the last general election and is submitted to the Secretary of State within 90 days after the end of the legislative session, the law in question is suspended pending the result of the referendum vote at the next general election.
There are no supermajority requirements, but at a minimum, 40% of those voting in the election must approve the measure. Referendums cannot target general appropriation laws; laws providing for the preservation of public peace, health or safety; for the payment of the public debt or interest; or the creation or funding of the same, except as in this Constitution otherwise provided; for the maintenance of the public schools or state institutions; and local or special laws.
Source: N.M. Const. art. IV, §1.