When a new political party has been properly established under section 32-716 prior to the general election and after the primary election of the same year, all candidates except candidates for President or Vice President of the United States shall pay the filing fee as provided in section 32-608, file a candidate filing form with the filing officer as provided in section 32-607 no later than September 1 prior to the general election accompanied by a petition of nomination containing the names of not less than twenty-five registered voters of the political party obtained from the appropriate jurisdiction, and comply with the Nebraska Political Accountability and Disclosure Act.