  Properties of local minima as a function of density are studied in a binary
Lennard-Jones system for kinetic equipartition temperatures $T=1.0$ (normal
liquid), 0.5 (supercooled liquid), and 0.4 (glass), in reduced units. The
number of different local minima sampled, energy, pressure, normal mode angular
frequencies, mean distance between all pairs of local minima and partial radial
distribution functions are presented. In agreement with previous studies by
Sastry [Phys. Rev. Lett. {\bf 85}, 590 (2000)] a limiting density is found at
$\rho_l=1.06$ with negative pressure, below which the local structure of the
glass and the supercooled phases are essentially the same, as evidenced by the
partial radial distribution functions. The mean energy, pressure, and normal
mode frequencies have values that are practically independent of the
temperature below $\rho_l$.
