
Cartan #0:
split: 0; compact: 6; complex: 0
canonical twisted involution: e
twisted involution orbit size: 1; fiber size: 64; strong inv: 64
imaginary root system: E6
real root system is empty
complex factor is empty
real form #2: [0,1,2,4,6,7,8,9,11,12,16,17,18,20,22,23,24,25,27,28,32,33,35,36,
    40,41,42,44,46,47,50,53,54,55,59,61] (36)
real form #1: [3,5,10,13,14,15,19,21,26,29,30,31,34,37,38,39,43,45,48,49,51,52,
    56,57,58,60,62] (27)
real form #0: [63] (1)


Cartan #1:
split: 0; compact: 4; complex: 1
canonical twisted involution: 2,4,3,1,5,4,2,3,4,5,6,5,4,2,3,1,4,3,5,4,2
twisted involution orbit size: 36; fiber size: 16; strong inv: 576
imaginary root system: A5
real root system: A1
complex factor is empty
real form #2: [0,1,2,4,5,6,8,10,11,13] (10)
real form #1: [3,7,9,12,14,15] (6)


Cartan #2:
split: 0; compact: 2; complex: 2
canonical twisted involution: 1,3,4,2,5,4,3,1,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1
twisted involution orbit size: 270; fiber size: 4; strong inv: 1080
imaginary root system: A3
real root system: A1.A1
complex factor: A1
real form #2: [0,1,2] (3)
real form #1: [3] (1)

