Upon the return of the verdict of the jury as provided in the preceding section, if it shall appear to the court that the total benefits found by the jury to have accrued to the lands of the district is equal to or exceeds the actual cost of the improvement including the increased cost of completing the same, the court shall enter its judgment in accordance therewith, as supplemental to and in lieu of the original decree fixing the benefits to the respective tracts of land, and thereafter the assessment and levy for the original cost of the construction of the improvement, including the indebtedness incurred for completing the improvement together with interest at the legal rate on the warrants issued therefor, and all assessments and levies if any, for the future maintenance of the drainage system described in the judgment shall be based upon the respective benefits determined and assessed against the respective tracts of land as specified in the judgment. Every person or corporation feeling himself or herself or itself aggrieved by any such judgment may seek appellate review within thirty days after the entry thereof, and such review shall bring before the appellate court the propriety and justness of the verdict of the jury in respect to the parties to the proceeding.