G = E7, adjoint, hermitian G^v = E7, simply connected, quaternionic type: E7 ad s real form: 1 dual real form: 2 Dynkin Diagram: 2 | 1-3-4-5-6-7 Infinitesimal character of block: R Special Special Orbit Cells Diagram #R A DualOrbit Cells Diagram #R A (3A1)'' 2 0000002 4 1 E6 0 2022020 1 1 (A3+A1)'' 1 2000002 4 1 D5 1 2020020 1 1 A5'' 0 2000022 2 1 D4 2 2020000 1 1 Fundamental weights lambda_2,lambda_5,lambda_7 are in root lattice Infinitesimal character of block: 0 is allowed => allowed orbits: #2s on roots 2,5,7 is even=> all orbits allowed E7, simply connected, quaternionic has two strong real forms => There are *two* blocks like this (at the same infinitesimal character) See the unipotentSummary file