Universal weight systems and the Kontsevich integral for the unknot

The value of the -weight system for the Kontsevich integral of the unknot is found. This value is a normalizing factor used in calculating knot invariants. A weight system is a function defined on the space of chordal diagrams and taking values in the center of the universal enveloping algebra . __________ Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 38, Suzdal Conference-2004, Part 3, 2006.