Upon the filing of a petition for the review of assessments in the office of the clerk of the district court of the county in which the land is situated, the clerk immediately shall notify the board of flood irrigation thereof. If it appears to the court upon the hearing that the assessments have not been made equitably, it may proceed to correct the same. The correction and adjustment is final, unless an appeal is taken to the supreme court.
N.D.C.C. § 61-12-19