\\ Left Cell Data for A1 (CC 2012, B. Binegar)
\\
\\ This file contains a table of data for the 2 left cells of the Weyl
\\ group W of A1. Each line below corresponds to a particular left cell
\\ of W. The datums held in the (colon-delimited) columns are as follows:
\\ Column Contents
\\ 1 KLatlas index (order of discovery by KLatlas, counting from 0)
\\ 2 number of Weyl group elements in the left cell
\\ 3 Weyl group elements contained in the left cell (as enumerated by KLatlas, counting from 0)
\\ 4 KLatlas indices of the left cells immediately below the left cell in the W-graph of W
\\ 5 representation of W carried by left cell (in terms of partitions for the classical Weyl groups and
\\ or R. Carter's notation for the irreducible representations of the exceptional Weyl groups)
\\ 6 special representation of W attached to the cell
\\ 7 special nilpotent orbit attached to the left cell (in terms of partitions for the nilpotent orbits of
\\ classical groups or Bala-Carter notation for the nilpotent orbits of the exceptional groups
\\ 8 KLatlas block index of the unique Duflo involution contained in the left cell
\\ 9 KLatlas cell index of the unique Duflo involution contained in the left cell
\\ 10 reduced word expression for the unique Duflo involution contained in the left cell
\\ 11 A-value of the unique Duflo involution contained in the left cell
\\ 12 tau-infinity invariant of primitive ideal attached to the left cell
\\
0 : 2 : 0 : [0, 0] : phi[2] : phi[2] : [2] : 0 : 0 : e : 0 : [{{}}]
1 : 2 : 1 : [1, 0] : phi[1,1] : phi[1,1] : [1, 1] : 1 : 0 : 1 : 1 : [{{1}}]