Poliquin's request comes in an amended court filing made ahead of a court hearing on ranked-choice voting next week.
Judge Lance Walker denied Poliquin's request to stop the ballot-counting process in which Democrat Jared Golden was declared the winner in the nation's first ranked-balloting election involving congressional candidates.
But Poliquin's lawsuit is still alive. Poliquin wants a judge to declare the system unconstitutional.
The system lets voters rank all candidates on the ballot. Last-place finishers are eliminated and votes reassigned if no candidate emerged as a majority winner in the first round of tallies.