Positive Thompson Permutations of width 7

Almost a decade ago Vaughan Jones introduced a method to produce knots from elements of the Thompson groups $F$. Later, it was extended to the Brown-Thompson group $F_3$. We defined a way to produce permutations out of elements of these groups. We call these permutations Thompson permutations. The number of orbits of each Thompson permutation coincides with the number of connected components of the link. Here are 1350210 Thompson permutations produced by positive elements of width 7.