Quoted from pinheadpierre:The transistor looks to be a TIP102, which I have on hand, but I don’t know what the little predriver is or what the resistors are. I always seem to read the colors wrong on transistors (is that band pink or brown, red or orange, etc).
These should all be listed out in the schematics, which should be your first dive.
However, if you can't get to a copy or PDF, the entire circuit is mirrored to the left or right - use those to get the resistor values. (i.e. loosen one up, get a multimeter reading of it, then solder it back in place if you're not trusting of your ability to read the bands correctly. )
Keep in mind that you may have a coil shorted, it may be what caused the transistor to go up in a ball of flame (overheat), so check everything on that circuit.