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In a recent paper (arXiv:2206.05152v4), using the exact diagonalizationtechnique, I calculated the energy and other physical properties (electrondensity, pair correlation function) of a system of $N\le 7$ two-dimensionalelectrons at the Landau level filling factor $\nu=1/3$, and showed that thevariational many-body wave function proposed for this filling factor byLaughlin is far from the true ground state. In this paper I continue to studyexact properties of a small ($N\le 7$) system of two-dimensional electronslying on the lowest Landau level. I analyze the energies and electron densitiesof the systems with $N\le 7$ electrons continuously as a function of themagnetic field in the range $1/4\lesssim\nu<1$. The physical mechanisms of theappearance of energy gaps in many-particle electron spectra are elucidated. Theresults obtained clarify the true nature of the ground and excited states ofthe considered systems.

Toward a new theory of the fractional quantum Hall effect: The many-body spectra and energy gaps at $\nu<1$