Conn. Gen. Stat. § 52-219: Claim for damages and equitable relief; separate trials.

Whenever an action brought to recover damages and also to obtain equitable relief has been placed upon the docket as a jury case, the determination of the equitable issues raised by the pleadings shall not prevent a jury trial of the claim for damages, unless both parties agree in writing to waive a jury, or unless the determination of the equitable issues has necessarily adjudicated all the facts upon which the claim for damages rests.