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We report an evaluation of subleading eigenvalues and eigenfunctions of theBFKL equation in the color dipole representation with a running gauge coupling.We present an expansion of the small-$x$ proton structure function$F_{2p}(x,Q^2)$ in terms of the rightmost BFKL-singularities. The BFKL-Reggephenomenology of DIS structure functions is developed which is shown to provideremarkably good description of the data on $F_{2p}(x,Q^2)$ from E665 to HERA.Comment: 6 pages Latex + aipproc.cls + aipproc.sty The misprint in the title  is correcte

The BFKL-Regge expansion for the proton structure function at small x