F4 1-2=>=3-4 Name Diagram Dim Spec Dual A:Abar 0 0000 0 1 F4 1 A1 1000 16 0 F4(a1) 1 A1s 0001 22 1 F4(a1) S2 A1+A1s 0100 28 1 F4(a2) 1 A2 2000 30 1 B3 S2:1 A2s 0002 30 1 C3 1 A2+A1s 0010 34 0 F4(a3) 1 B2 2001 36 0 F4(a3) S2 A2s+A1 0101 36 0 F4(a3) 1 C3(a1) 1010 38 0 F4(a3) S2 F4(a3) 0200 40 1 F4(a3) S4 C3 1012 42 1 A2s 1 B3 2200 42 1 A2 1 F4(a2) 0202 44 1 A1+A1s S2:1 F4(a1) 2202 46 1 A1s S2 F4 2222 48 1 0 1 Note: Duality takes A2s <-> C3 and A2 <-> B3 Differs from Carter pg. 440 by exchanging long and short roots A=Abar except in two cases indicated: A2 and F4(a2)