A $5779$-dimensional polytope is call a $k$-tope if it has exactly $k$ $5778$-dimensional faces. Find all sequences $b_{5780}, b_{5781}, \dots, b_{11558}$ of nonnegative integers, not all $0$, such that the following condition holds: It is possible to tesselate every $5779$-dimensional polytope with convex $5779$-dimensional polytopes, such that the number of $k$-topes in the tessellation is proportional to $b_k$, while there are no $k$-topes in the tessellation if $k\notin \{5780, 5781, \dots, 11558\}$.