Explicit formulas for the Vassiliev knot invariants

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Vassiliev's knot invariants can be computed in different ways but many of them as Kontsevich integral are very difficult. We consider more visual diagram formulas of the type Polyak-Viro and give new diagram formula for the two basic Vassiliev invariant of degree 4.
The brief version of this paper is in materials of International Conference "Monodromie et équations différentielles en théorie des singularités et des représentations de groupes."

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