Ok here ya go.
Now looking at the harness with the clip on the top, it goes brown, light blue with red stripe, light green with red stripe, light green, and then brown again. I don't know how you are going to determine which brown wire is which though. I got this info out of the TSEWD. That would be the Toyota Supra Electrical Wiring Diagram book. It's separate from the TSRM and costs an extra $30 on top of the $100 for the TSRM.
Hope this helps!