KNOTS IN WASHINGTON XXVI. April 20, 2008 Polyak-Viro formulas for coefficients of the Conway polynomial. I will report a work of my students Michael (Cap) Khoury and Alfred Rossi who found Polyak-Viro arrow diagram formulas for the coefficients of the Conway polynomial. The formulas are related to a state model of F.Jaeger and answer one of his questions. This model gives a description of the Conway polynomial as a state sum over some subsets of crossings of a knot diagrams.