From the Integer Programming book by Conforti et al, I've sniped the image below. At the bottom of this image there is the remnants of a tableau, presumably from several iterations of the simplex algorithm. I cannot reproduce their numbers. It may just be that my simplex algorithm skills are poor.
However, I cannot reproduce the numbers using SCIP either. I get numbers that are close, but the signs and order don't quite match. Doing it by hand I cannot get fractional values on every slack since I don't go through that many iterations. Is there something wrong with my approach? What pivot rule are they using, or what elements did they pivot on to arrive those numbers?