simple, diameter
                 
 
	Q4 is the only (combinatorial type of) simple 9-facet 4-polytope 
	 with diameter 5.
174, 166, 165
27
9
1 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1