  We numerically compute the guiding center static structure factor $\bar S(\bf
k)$ of various fractional quantum Hall (FQH) states to
$\mathcal{O}\left((k\ell)^6\right)$ where $k$ is the wavenumber and $\ell$ is
the magnetic length. Employing density matrix renormalization group on an
infinite cylinder of circumference $L_y$, we study the two-dimensional limit
using $L_y/\xi \gg 1$, where $\xi$ is the correlation length. The main findings
of our work are: 1) the ground states that deviate away from the ideal
conformal block wavefunctions, do not saturate the Haldane bound, and 2) the
coefficient of $O\left((k\ell)^6\right)$ term appears to be bounded above by a
value predicted by field theories proposed in the literature. The first finding
implies that the graviton mode is not maximally chiral for experimentally
relevant FQH states.
