Before revision:  We investigate the first two numerically and produce generating functions which codify the observed patterns , we perform an exploratory data analysis for the third .
After revision:  We investigate the first two numerically and produce generating functions which codify the observed patterns : knot size is uniformly distributed and linearly dependent upon grid size, and the number of components follows a distribution whose mean and variance grow with log_2 of grid size; in particular, for any fixed k, the k-component links grow vanishingly rare as grid size increases. Finally, we observe that the odd moments of writhe vanish, and we perform an exploratory data analysis for the third .