Unipotent representations for E8(quaternionic) G^v=E8(quaternionic) Atlas version 0.3./Build date: Nov 19 2007 at 06:09:46. Unipotent representations computed from file orbitsAndCells_E8_sc_s_1_1 at Thu Dec 4 10:54:21 2008 O^v diagram(O^v) O cell Unipotent representations D4 00000022 E6 0 0 D5 20000022 D5 1 1046 E6 20000222 D4 2 2881 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 3149 1046 2103 2881 268 Unipotent representations from block file: 0( 4101,67109): 8 4 [C+,rn,rn,rn,rn,C+,ic,ic] 2 0 0 0 0 1 0 0 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,3,4,2,3,4,5,4,2,3,4,5 1046(45456,59550): 28 4 [ic,rn,C+,rn,rn,C+,C-,ic] 1046 1046 1182 1046 1046 1166 927 1046 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 2,4,2,5,4,2,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8,7 2881(65752,26284): 44 4 [C-,rn,rn,rn,C+,ic,ic,ic] 2776 2881 2881 2881 2933 2881 2881 2881 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,2,3,1,4,2,3,1,4,3,5,4,3,1,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1 Dual to unipotent representations from dual block: 3149(67109, 4101): 56 4 [C-,ic,ic,ic,ic,C-,rn,rn] 3147 3149 3149 3149 3149 3148 3149 3149 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,4,2,5,4,3,1,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8 2103(59550,45456): 36 4 [rn,ic,C-,ic,ic,C-,C+,rn] 2103 2103 1967 2103 2103 1983 2222 2103 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 1,3,1,4,2,3,4,5,4,2,3,1,4,3,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6,8 268(26284,65752): 20 4 [C+,ic,ic,ic,C-,rn,rn,rn] 373 268 268 268 216 268 268 268 ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) ( *, *) 5,4,2,3,4,5,6,5,4,2,3,4,5,6,7,6,5,4,2,3,4,5,6,7,8,7,6,5,4,2,3,4,5,6,7,8