Jones-Wenzl Idempotents

Here are some of the Jones-Wenzl idempotents in the Temperley-Lieb algebras. The coefficients are computed using Scott Morrison’s formula and my library temperley_lieb_cat. The data files can be deserialised, though calculation through jw(n) should be fast enough for all the values below. The pdf files use the convention that a closed loop resolves to \(X\).

From \(\text{JW}_7\) onwards, \(\LaTeX\) refuses to compile the document and from around 10 onwards, the coefficients overflow signed 128-bit integers and I haven’t yet implemented larger number values.