S.D. Codified Laws § 15-30-9
At any time within ten days after the mailing of such notice of taxation of costs, any party aggrieved may object to the same by serving written objections upon the other parties to the appeal and filing such objections with proof of service thereof with the clerk of the Supreme Court. If any relevant question of fact is raised, the party objecting shall serve and file with the objections, proof in the form of an affidavit or affidavits of the facts as claimed by the party. The objections may be supported by such written argument or authority as the party desires to submit in support of the same. Within five days after the service of such objections, any party to the appeal may reply thereto by serving the same with answering affidavits if any on the other parties and filing the reply with the clerk of the court. Such reply may contain such argument and authority as the party may desire to submit. Upon receipt of such objections and replies, if any, and after the time for serving and filing the same has expired, the court shall consider and decide upon the same and make such order thereon as to it may seem warranted and such order shall be final and not subject to rehearing or appeal excepting that the court will at all times reserve the right to correct any actual mistake or error existing therein.
SDCL 15-30-9