No new or additional evidence may be introduced in the Supreme Court, but the appeal shall be heard on the record of the commission as certified by it. The review on appeal shall not be extended further than to determine whether the commission has regularly pursued its authority, including a determination of whether the order appealed from violates any right of the appellant under the constitution of the United States or of the state of Idaho. Upon the hearing the Supreme Court shall enter judgment, either affirming or setting aside or setting aside in part the order of the commission. In case the order of the commission is set aside or set aside in part, the commission, upon its own motion or upon motion of any of the parties, may alter or amend the order appealed from to meet the objections of the court in the manner prescribed in section 61-624, Idaho Code.
Idaho Code § 61-629