Here is the first pattern chart for patterning with a supplementary warp. This design was on a bag that I saw at a fair in Cochabamba, Bolivia woven by a weaver from the Independencia area.
You can see this design woven in this blog post.
Ps… there is a mistake in this chart. Row 13 (counting from bottom to top) should look like row 3 in reverse, that is, counting from right to left it should read 2 black, 3 white rather than 3 black 2 white.