The judge shall pronounce judgment on which candidate was elected or nominated and whether the question or proposition was accepted or rejected. The director shall issue a new election certificate to correctly reflect the judgment of the court. If the court decides that the election resulted in a tie vote, the director shall immediately proceed to determine the election by lot as is provided by law. If the court decides that no candidate was duly elected or nominated, the judgment shall be that the contested election be set aside. The provisions of this section and AS 15.20.540 and 15.20.550 are not intended to limit or interfere with the power of the legislature to judge the election and qualifications of its members.