  We use direct Kaluza-Klein reduction to calculate the spectrum of spin-2
modes around a warped product of AdS_4 and a certain squashed and stretched
7-sphere. The modes turn out to be polynomials in the four complex variables
parameterizing the sphere, and their complex conjugates. The background, which
possesses U(1)_R x SU(3) symmetry, has been conjectured to be dual to a U(N) x
U(N) N=2 superconformal Chern-Simons theory with a sextic superpotential. We
find that the U(1)_R x SU(3) quantum numbers of spin-2 modes are in agreement
with those determined in arXiv:0809.3773 through a group theoretic method, and
with the spectrum of spin-2 gauge invariant operators in the Chern-Simons gauge
theory. The mass-squared in AdS_4 is found to be quadratic in these quantum
numbers and the Kaluza-Klein excitation number. Most of the spin-2 operators
belong to long multiplets, and we determine their dimensions via the AdS/CFT
correspondence.
