Okay, so taking another look at the crew requirements.....
You need three people (sentient being) to man each 24/7 critical duty stations. They can work eight hour shifts (days/swings/mids), or a standard Navy "dog watch" rotation of five four-hour and two two-hour shifts per day, or four-on/two-off twelve-hour shifts flip-flop days/night, or some other weird shift rotation. In a pinch, you can drop down to two bodies per chair, working twelve-hour shifts, but you can’t do that for very long without burning the crew out.
For larger ships, I think you need five people on the bridge: center seat, helm, navigation, sensors, and communications. Ergo, you need fifteen people there. On a smaller ship, you may be able to combine helm and navigation, and/or sensors and communications. If this was a civilian freighter, I could accept making the helm/navigation also the "pilot in command" and just have two people on the bridge. I'm not sure I’d do that on this ship.
Likewise, I think you need about five people in the engine room: engineer officer, two engine techs, and two non-engine techs. Again, that’s fifteen bodies for 24/7 operations, but on a small ship, perhaps this can be dropped to four, perhaps, three people per shift.
Just to fly the ship, you need a MINIMUM of eighteen crewmembers, and I'd be inclined to give it thirty depending on the mission statement. This doesn’t include specialists such as medics, security, weapons, science, etc. etc. Bottom line: I'm sticking with my original assessment that the ship needs a crew of 45-60 personnel. The only way I can see it having a max crew of 30 is if it has a mission duration of two or three, no more than four weeks away from home base.
Regardless, it's a very cool ship. I wish I had such talents.