We derive a compact modular form factor for the convex polytope by using the modular form factor for the polytope. We use the modular form factor to show that the convex polytope admits a canonical form factor $\sum_c_n_i$ which is a function of $\sum_{c_i=0}$ of the triangular poly-ops. We show that the canonical form factor is defined precisely in terms of the modular form factor of the convex poly-ops.