\\ Left Cell Data for G2   (CC 2012, B. Binegar)
\\
\\ This file contains a table of data for the 4 left cells of the Weyl
\\ group W of G2. 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 : 4 : 0 : [0, 0] : phi[1,0] : phi[1,0] : G2 : 0 : 0 : e : 0 : [{{}}]
1 : 4 : 1 : [1, 0] : phi[1,3,2]+phi[2,1]+phi[2,2] : phi[2,1] : G2(a1) : 1 : 0 : 1 : 1 : [{{1}}]
2 : 4 : 2 : [2, 0] : phi[1,3,1]+phi[2,1]+phi[2,2] : phi[2,1] : G2(a1) : 2 : 0 : 2 : 1 : [{{2}}]
3 : 4 : 11 : [3, 0] : phi[1,6] : phi[1,6] : 0 : 11 : 0 : 212121 : 6 : [{{1, 2}}]