Suzuki-Forums.com, I used the OBDI to its fullest and determined that code 41 meant an ignition failure (big thanks to Kick-Fix.com). It had to be either the ignition coil, the ignition control module, or the noise suppression filter. I couldn't figure it out. In a last-ditch effort, I unplugged everything that had to do with the ignition system, and replugged it in. Then it happened: It fired. Holy randomness.
I decided to wiggle the connections that I had monkeyed with, and found out it was the ignition coil connector (e.g. the positive and negative wires going to the ignition coil). A quick wiggle would kill the running engine. Well, at least I figured it out. Now to make it reliable.