Conn. Gen. Stat. § 9-135a
Form of absentee ballot.
(b) In municipalities in which some or all offices are to be voted upon without party designation at an election, the clerk of the municipality shall prepare a suitably modified absentee ballot which, upon approval by the Secretary of the State, shall be the form of absentee ballot for the purposes of the election.
(c) In the case of a primary in a voting district in which unaffiliated electors are authorized, under section 9-431 , to vote for some but not all offices to be contested at the primary, the clerk of the municipality shall so prepare and cause to be printed separate and distinct partial absentee ballots for such unaffiliated electors, provided on each such ballot, each candidate's position shall be the same as on the full absentee ballot for the primary, pursuant to section 9-437 , leaving blank columns where necessary.