I too have looked for the information in the manual and found it. I forgot exactly what page it was on, but it is in the Road Side Repair area. However, the explanation lacks details, so I went out to my 2011 RT-S SE5 and took a look. The SE5 transmission is really very similar to the standard transmission except for the addition of some hydraulics. Instead of operating the shifter with your left foot, a hydraulic cylinder has been added. If you look under the spyder you will see the shifter arm with a couple of flats that will fit a 13mm wrench. If you attach the wrench you will be able to shift the transmission. Please make sure the engine is off when doing this.:yikes:
This will not fix the cause of your problem, but at least you will get it unstuck.