  In a recent paper (arXiv:2206.05152v4), using the exact diagonalization
technique, I calculated the energy and other physical properties (electron
density, pair correlation function) of a system of $N\le 7$ two-dimensional
electrons at the Landau level filling factor $\nu=1/3$, and showed that the
variational many-body wave function proposed for this filling factor by
Laughlin is far from the true ground state. In this paper I continue to study
exact properties of a small ($N\le 7$) system of two-dimensional electrons
lying on the lowest Landau level. I analyze the energies and electron densities
of the systems with $N\le 7$ electrons continuously as a function of the
magnetic field in the range $1/4\lesssim\nu<1$. The physical mechanisms of the
appearance of energy gaps in many-particle electron spectra are elucidated. The
results obtained clarify the true nature of the ground and excited states of
the considered systems.
