KL polynomials for \(S_{10}\)

Type your favorite permutation of \(\{0,\dots,9\}\) (the first try will load a few seconds):

What is happening?

The above return the Kazhdan–Lusztig polynomial with first index the unit element and second index an arbitrary permutation.
  • Enter a permutation \(w\in S_{10}\) in one-line notation (zero-indexed, no space) e.g., 9123456780.
  • You will then see the permutation as a string diagram and the Kazhdan–Lusztig polynomial with first index the unit element and second index this permutation.
  • The polynomial is displayed as a vector of coefficients.
  • An output example is:
  • There is no computation happening; the data is loaded from here