Unipotent representations for G = E7, adjoint, quaternionic G^v = E7, simply connected, hermitian Atlas version 0.3./Build date: Nov 19 2007 at 06:09:46. Unipotent representations computed from file orbitsAndCells_E7_ad_s_2_1 at Thu Dec 4 10:44:49 2008 O^v diagram(O^v) O cell Unipotent representations (3A1)'' 0000002 E6 0 0 (A3+A1)'' 2000002 D5 1 117 A5'' 2000022 D4 2 270 Number of orbits: 3 Number of even orbits: 3 Number of cells: 3 Number of unipotent representations: 3 All unipotent parameters/duals: Unipotent Dual 0 314 117 197 270 44 Unipotent representations from block file: 0(1870,3016): 8 4 [C+,rn,rn,rn,rn,C+,ic] 2 0 0 0 0 1 0 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,4,2,3,4,5,4,2,3,4,5 117(6887,2575): 18 4 [C-,C+,rn,rn,rn,C+,C-] 85 145 117 117 117 138 94 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,1,4,2,3,1,5,4,2,3,1,4,3,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7 270(8773,1238): 26 4 [ic,rn,C+,rn,rn,C-,ic] 270 270 283 270 270 254 270 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,4,2,5,4,2,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6 Dual to unipotent representations from dual block: 314(3016,1870): 27 3 [C-,ic,ic,ic,ic,C-,rn] 312 314 314 314 314 313 314 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,5,4,3,1,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7 197(2575,6887): 17 3 [C+,C-,ic,ic,ic,C-,C+] 229 169 197 197 197 176 220 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,4,3,5,4,2,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6 44(1238,8773): 9 3 [rn,ic,C-,ic,ic,C+,rn] 44 44 31 44 44 60 44 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,1,4,2,3,4,5,4,2,3,1,4,3,7