The excitation spectrum of an interacting electron gas in a quantum dot is discussed in the large-magnetic-field regime using a recently introduced exactly solvable model. The spectrum exhibits complex crossings as a function of the strength of the electron-electron interaction. The corresponding eigenfunctions are generalizations of Laughlin wave functions, but include significant inter-Landau-level mixing. Laughlin quasiparticles represent a poor description of the elementary excitations.
