Unipotent representations for G=E6 simply connected, split real form G^v=G^v = E6 adjoint, compact inner class, quasisplit (quaternionic, K=A5xA1) Atlas version 0.3./Build date: Nov 19 2007 at 06:09:46. Unipotent representations computed from file orbitsAndCells_E6_sc_s_1_2 at Thu Dec 4 13:30:51 2008 O^v diagram(O^v) O cell Unipotent representations E6 222222 0 31 1863* E6(a1) 222022 A1 30 1865* D5 220202 2A1 28 1778* 29 1878* E6(a3) 200202 A2 21 1171,1703* 26 1503,1867* A4 220002 A3 18 1574* 23 1861* D4 020200 2A2 22 1540* 27 1873* D4(a1) 000200 D4(a1) 13 499,1465* 14 421,1193,1851* 17 981,1538* 2A2 200002 D4 8 1027* A2 020000 E6(a3) 4 4,820* 5 180,911* 15 569,1874* 0 000000 E6 0 0* Number of orbits: 17 Number of even orbits: 10 Number of cells: 18 Number of unipotent representations: 27