The four reggeized gluon states for non-vanishing Lorentz conformal spin n_h are considered. To calculate their spectrum the Q-Baxter method is used. As a result we describe normalizable trajectory-like states, which form continuous spectrum, as well as discrete point-like solutions, which turn out to be non-normalizable. The point-like solutions exist due to symmetry of the Casimir operator where conformal weights (h,\overline h)\rightarrow (h,1-\overline {h}).

PACS numbers: 12.40.Nn, 11.55.Jy, 12.38.--t