Data and code from: Random knotting in very long off-lattice self-avoiding polygons

We present experimental results on knotting in off-lattice self-avoiding polygons in the bead-chain model. Using Clisby's tree data structure and the scale-free pivot algorithm, for each n between 10 and 27, we generated 243–n polygons of size 2*n*. Using a new knot diagram simplification and invariant-free knot classification code, we were able to determine the precise knot type of each polygon. The results show that the number of prime summands of knot type K in a random n-gon is very well described by a Poisson distribution. We estimate the characteristic length of knotting as 656,500 ± 2500. We also make new calculations for knotting rates and amplitude ratios of knot probabilities. We find that our calculations agree quite well with previous on-lattice computations. Our results support the idea of knot localization and the knot entropy conjecture.