Year, make, and model of motorcycle, please.
The GJ Hive Mind has some surprising and obscure bits and pieces of knowledge squirreled away, and more specifics will help its biological search algorithm point you to the correct parts and procedures. Whatever machine this is, there's probably a forum out there somewhere for it and a good chance someone has been down this path.
And yes, that's a simple three phase three pole stator to generate a bit of electricity, along with a ignition stator attached to one side. They are not electrically linked up; you'll have five wires coming out of that area.
The first-generation KLR650 has a similar setup, except it's three phase with 15 poles, combined with two ignition poles.
And yes, if you look at the waveform of the AC output of one of these, it's asymmetric, which overall doesn't make much difference. You lose a bit of efficiency, but it makes things simpler.