New representation of the odderon wave function is derived, which is conver
gent in the whole impact parameter plane, and provides the analytic form of
the quantization condition for the integral of motion q(3). A new quantum
number, triality, was identified independently in each sector. This, togeth
er with the choice of the conformal basis allows for simple calculation of
eigenvalues of a wide class of operators. (C) 1999 Elsevier Science B.V, Al
l rights reserved.