In the desktop software (CD/download), there is a $25 state efiling fee except for New York state. There is no fee if you want to print and mail the return instead.
NOTE: You said you don't have a refund, so I mention this for anyone else who sees the thread. It's best to pay the fee by credit/debit card. If you choose to pay it out of the Federal refund, there is an additional $40 service fee ($45 for California filers.)
