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We present the result of a full direct component calculation for the firstthree even moments of the non-planar contribution into the four-loop anomalousdimension of twist-2 operators in maximally extended N=4 supersymmetricYang-Mills theory. Obtained result complete our previous calculations inarXiv:0902.4646 and gives the usual result for the higher moments on thecontrary to degenerate one in the case of Konishi. We have proposed a generalform of zeta(5) and zeta(3) parts of the full non-planar anomalous dimension oftwist-2 operators. As by product, we have obtained the first moment of thenon-planar contribution to the non-singlet four-loop anomalous dimension ofWilson twist-2 operators in QCD.

The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD