  We present an explicit approach to the GL(3) Kuznetsov formula. As an
application, for a restricted class of test functions, we obtain the low-lying
zero densities for the following three families: cuspidal GL(3) Maass forms
phi, the symmetric square family sym^2 phi on GL(6), and the adjoint family Ad
phi on GL(8). Hence we can identify their symmetry types; they are: unitary,
unitary, and symplectic, respectively.
