N.M. Stat. § 73-6-35
Upon the filing of the preliminary report the court or the presiding judge thereof shall by order fix a time and place when and where the same shall be heard at some general or special term of said court, not less than thirty days from the filing of said report. Notice of the time and place of hearing upon said preliminary report shall be given to all interested persons by publishing a brief notice of the filing of said report, including a brief statement of the substance of said report in one or more newspapers published in each county in which any land in said proposed drainage district shall be situated (or if no newspaper is published in said county, in one or more newspapers of general circulation of the district) once in each week for three consecutive weeks prior to the day appointed for hearing thereon. Said notice shall describe all lands by said report included in said district, which were not included therein by the petition, and state that such lands are to be included in said district which were by the petition included therein and shall state that such lands are to be excluded from said district.
NMS § 73-6-35