Calculating the first nontrivial 1-cocycle in the space of long knots

For spaces of knots in R-3, the Vassiliev theory defines the so-called cocycles of finite order. The zero-dimensional cocycles are finite-order invariants. The first nontrivial cocycle of positive dimension in the space of long knots is one-dimensional and is of order 3. We apply the combinatorial formula given by Vassiliev in his paper [1] and find the value mod 2 of this cocycle on 1-cycles obtained by dragging knots one through another or by rotating a knot around a given line