The nonintersecting classes ℋ _p,q are defined, with p, q ∈ ℕ and p ≥ q ≥ 1, of orientable hyperbolic 3-manifolds with geodesic boundary. If M ∈ ℋ _p,q, then the complexity c(M) and the Euler characteristic χ(M) of M are related by the formula c(M) = p-χ(M). The classes ℋ _q,q, q ≥ 1, and ℋ _2,1 are known to contain infinite series of manifolds for each of which the exact values of complexity were found. There is given an infinite series of manifolds from ℋ _3,1 and obtained exact values of complexity for these manifolds. The method of proof is based on calculating the e{open}-invariants of manifolds.