# 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 \(X\).

\(\text{JW}_1\) pdf data | \(\text{JW}_2\) pdf data | \(\text{JW}_3\) pdf data |

\(\text{JW}_4\) pdf data | \(\text{JW}_5\) pdf data | \(\text{JW}_6\) pdf data |

\(\text{JW}_7\) data | \(\text{JW}_8\) data | \(\text{JW}_9\) data |

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.