\\ Left Cell Data for B2 (CC 2012, B. Binegar) \\ \\ This file contains a table of data for the 4 left cells of the Weyl \\ group W of B2. 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[[2],[]] : phi[[2],[]] : [5] : 0 : 0 : e : 0 : [{{}}] 1 : 4 : 1 : [1, 0] : phi[[1, 1],[]]+phi[[1],[1]] : phi[[1],[1]] : [3, 1, 1] : 1 : 0 : 1 : 1 : [{{1}}] 2 : 4 : 2 : [2, 0] : phi[[1],[1]]+phi[[],[2]] : phi[[1],[1]] : [3, 1, 1] : 2 : 0 : 2 : 1 : [{{2}}] 3 : 4 : 7 : [3, 0] : phi[[],[1, 1]] : phi[[],[1, 1]] : [1, 1, 1, 1, 1] : 7 : 0 : 2121 : 4 : [{{1, 2}}]