  We consider N=3 supersymmetric Chern-Simons (CS) theories that contain
product U(N) gauge groups and bifundamental matter fields. Using the matrix
model of Kapustin, Willett and Yaakov, we examine the Euclidean partition
function of these theories on an S^3 in the large N limit. We show that the
only such CS theories for which the long range forces between the eigenvalues
cancel have quivers which are in one-to-one correspondence with the simply
laced affine Dynkin diagrams. As the A_n series was studied in detail before,
in this paper we compute the partition function for the D_4 quiver. The D_4
example gives further evidence for a conjecture that the saddle point
eigenvalue distribution is determined by the distribution of gauge invariant
chiral operators. We also see that the partition function is invariant under a
generalized Seiberg duality for CS theories.
