  We show that partition function of Chern-Simons theory on three-sphere with
classical and exceptional groups (actually on the whole corresponding lines in
Vogel's plane) can be represented as ratio of respectively triple and double
sine functions (last function is essentially a modular quantum dilogarithm).
The product representation of sine functions gives Gopakumar-Vafa structure
form of partition function, which in turn gives a corresponding integer
invariants of manifold after geometrical transition. In this way we suggest to
extend gauge/string duality to exceptional groups, although one still have to
resolve few problems. In both classical and exceptional cases an additional
terms, non-perturbative w.r.t. the string coupling constant, appear. The full
universal partition function of Chern-Simons theory on three-sphere is shown to
be the ratio of quadruple sine functions. We also briefly discuss the matrix
model for exceptional line.
