Conn. Gen. Stat. § 9-470
The Secretary shall determine by lot, in a public ceremony held on the thirty-fifth day preceding the day of the primary, the order in which the names of the candidates will appear on the ballot of each party at such primary; provided that the category "uncommitted" shall appear last on such ballots. Notwithstanding any provision of the general statutes to the contrary, no candidate shall be designated on the ballot as the party-endorsed candidate. The names of such candidates shall appear, in the order so determined by the Secretary, in the first vertical column of the ballot. Such column shall be designated "Nomination for President of the United States"; provided if the number of candidates is such that there is an insufficient number of places in such column, the Secretary shall determine whether the names of the candidates shall also extend, in the order so determined, to the second and succeeding columns as may be necessary, or shall appear on the first and succeeding horizontal rows as may be necessary. Such columns or rows shall be designated as hereinabove provided. Except as otherwise provided in this chapter, the form of the ballot shall be prescribed by the Secretary and shall conform, as nearly as may be, to the provisions of section 9-437.
Conn. Gen. Stat. § 9-470
(P.A. 77-535, S. 8; P.A. 79-481, S. 8; P.A. 11-20, S. 33.)