G = E7, simply connected, split G^v = E7, adjoint, split type: E7 sc s real form: 3 dual real form: 3 Dynkin Diagram: 2 | 1-3-4-5-6-7 Special Special Orbit Cells Diagram #R A Dual Orbit Cells Diagram #R A E7 0,1 2222222 2 1 1 83,84 0000000 1 1 E7(a1) 2,3 2220222 2 2/1 A1 81,82 1000000 1 1 E7(a2) 4,6 2220202 2 1 2A1 79,80 0000010 1 1 E6 8 2022020 1 1 (3A1)'' 78 0000002 1 1 E7(a3) 5,7,10,11 2002022 4 2 A2 73,74,76,77 2000000 (2) 2 E6(a1) 9,12 2002020 2 2 A2+A1 9,12 1000010 3 2 E7(a4) 13,14,15,18,22 2002002 4 2/1 A2+2A1 62,67,68,70,71 0001000 3 1 D5+A1 17,23 2110110 2 1 2A2 64,65 0000020 1 1 D6(a1) 16,24 2110102 2 1 A3 66,69 2000010 1 1 A6 19,27 0002020 1 1 A2+3A1 43,61 0200000 2 1 E7(a5) 20,25,29,30 0002002 4 S3 D4(a1) 54,56,58,60 0020000 (2) S3 D5 26 2020020 1 1 (A3+A1)'' 63 2000002 1 1 E6(a3) 28,31 0020020 2 2 D4(a1)+A1 42,52 0110001 2 2 D5(a1)+A1 21,32,33,35,42 2000200 4 1 A3+A2 48,50,51,57,59 0001010 3 2/1 D5(a1) 34,39,44 2001010 3 2 A4 46,47,49 2000020 (2) 2 A4+A2 36,37 0002000 1 1 A3+A2+A1 41,44 0000200 2 1 A4+A1 38,40,45 1001010 3 2 A4+A1 37,39,40 1001010 3 2 A5'' 52,53 2000022 2 1 D4 53,55 2020000 1 S3/1 A4 54,57 2000020 2 2 D5(a1) 32,38 2001010 3 2 A3+A2+A1 41,43,46,49 0000200 4 1 A4+A2 33,34,35,36 0002000 1 1 A3+A2 55,56,58,63 0001010 3 2/1 D5(a1)+A1 19,29,30,31 2000200 2 1 D4(a1)+A1 47,50,59,60 0110001 4 2 E6(a3) 22,25,27,28 0020020 (2) 2 D4 61 2020000 1 1 A5'' 45 2000022 1 1 D4(a1) 62,64 0020000 2 S3 E7(a5) 18,26 0002002 2 S3 (A3+A1)'' 69,70 2000002 2 1 D5 20,23 2020020 1 1 A2+3A1 48,51,65,67 0200000 4 1 A6 15,17,21,24 0002020 1 1 A3 72 2000010 1 1 D6(a1) 12 2110102 (2) 1 2A2 71 0000020 1 1 D5+A1 13 2110110 (2) 1 A2+2A1 66,68,73,74 0001000 3 1 E7(a4) 9,11,14,16 2002002 2 2/1 A2+A1 75,76,78 1000010 3 2 E6(a1) 6,8,10 2002020 2 2 (3A1)'' 80,81 0000002 2 1 E6 5,7 2022020 1 1 A2 77,79 2000000 2 2 E7(a3) 3,4 2002022 2 2 2A1 82 0000010 1 1 E7(a2) 2 2220202 1 1 A1 83 1000000 1 1 E7(a1) 1 2220222 1 2/1 1 84 0000000 1 1 E7 0 2222222 1 1