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: A6
real root system is empty
complex factor is empty
real form #3: [0,1,2,4,5,6,8,10,11,13,16,17,18,20,21,22,24,26,27,29,32,34,35,37,
    40,41,42,44,45,46,49,52,54,55,59] (35)
real form #2: [3,7,9,12,14,19,23,25,28,30,33,36,38,43,47,48,50,53,56,58,
    61] (21)
real form #1: [15,31,39,51,57,60,62] (7)
real form #0: [63] (1)


Cartan #1:
split: 0; compact: 4; complex: 1
canonical twisted involution: 1,2,3,4,5,6,5,4,3,2,1
twisted involution orbit size: 21; fiber size: 16; strong inv: 336
imaginary root system: A4
real root system: A1
complex factor is empty
real form #3: [0,1,2,4,5,6,8,10,11,13] (10)
real form #2: [3,7,9,12,14] (5)
real form #1: [15] (1)


Cartan #2:
split: 0; compact: 2; complex: 2
canonical twisted involution: 2,1,3,2,4,3,5,4,3,2,1,6,5,4,3,2
twisted involution orbit size: 105; fiber size: 4; strong inv: 420
imaginary root system: A2
real root system: A1.A1
complex factor: A1
real form #3: [0,1,2] (3)
real form #2: [3] (1)