Cartan #0:
split: 0; compact: 7; complex: 0
canonical twisted involution: e
twisted involution orbit size: 1; fiber size: 128; strong inv: 128
imaginary root system: E7
real root system is empty
complex factor is empty
real form #3: [0,1,4,8,9,12,18,22,23,27,32,33,36,40,41,44,50,54,55,59,66,70,71,
    75,80,81,84,88,89,92,99,106,110,111,117,125] (36)
real form #2: [2,3,6,7,10,11,14,15,16,17,20,21,24,25,28,29,34,35,38,39,42,43,46,
    47,48,49,52,53,56,57,60,61,64,65,68,69,72,73,76,77,82,83,86,87,90,91,94,95,
    96,97,100,101,104,105,108,109,114,115,118,119,122,123,126] (63)
real form #1: [5,13,19,26,30,31,37,45,51,58,62,63,67,74,78,79,85,93,98,102,103,
    107,112,113,116,120,121,124] (28)
real form #0: [127] (1)


Cartan #1:
split: 0; compact: 5; complex: 1
canonical twisted involution: 1,3,4,2,5,4,3,1,6,5,4,2,3,4,5,6,7,6,5,4,2,3,1,4,3,
    5,4,2,6,5,4,3,1
twisted involution orbit size: 63; fiber size: 32; strong inv: 2016
imaginary root system: D6
real root system: A1
complex factor is empty
real form #3: [0,3,4,8,11,12,16,20,23,27] (10)
real form #2: [1,2,5,6,9,10,13,14,17,18,21,22,25,26,29,30] (16)
real form #1: [7,15,19,24,28,31] (6)


Cartan #2:
split: 0; compact: 3; complex: 2
canonical twisted involution: 6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,2,3,1,4,3,
    5,4,2,6,5,4,3,1,7,6,5,4,2,3,4,5,6
twisted involution orbit size: 945; fiber size: 8; strong inv: 7560
imaginary root system: D4.A1
real root system: A1.A1
complex factor: A1
real form #3: [0,2,5] (3)
real form #2: [1,3,4,6] (4)
real form #1: [7] (1)


Cartan #3:
split: 0; compact: 1; complex: 3
canonical twisted involution: 3,1,4,2,3,4,5,4,2,3,1,4,3,6,5,4,2,3,1,4,3,5,4,6,5,
    7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,3
twisted involution orbit size: 3780; fiber size: 2; strong inv: 7560
imaginary root system: A1.A1.A1.A1
real root system: A1.A1.A1
complex factor: A2
real form #3: [0] (1)
real form #2: [1] (1)


Cartan #5:
split: 2; compact: 1; complex: 2
canonical twisted involution: 1,3,1,4,2,3,4,5,4,2,3,1,4,3,6,5,4,2,3,1,4,3,5,4,6,
    5,7,6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1,7,6,5,4,3
twisted involution orbit size: 315; fiber size: 2; strong inv: 630
imaginary root system: A1.A1.A1
real root system: D4
complex factor: A2
real form #3: [0] (1)
real form #2: [1] (1)