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: A7
real root system is empty
complex factor is empty
real form #4: [0,2,5,8,10,13,17,20,22,27,32,34,37,40,42,45,49,52,54,59,65,68,70,
    75,80,82,85,88,90,93,99,105,108,110,119] (35)
real form #3: [1,3,4,6,9,11,12,14,16,18,21,23,24,26,29,33,35,36,38,41,43,44,46,
    48,50,53,55,56,58,61,64,66,69,71,72,74,77,81,83,84,86,89,91,92,94,96,98,101,
    104,106,109,111,113,116,118,123] (56)
real form #2: [7,15,19,25,28,30,39,47,51,57,60,62,67,73,76,78,87,95,97,100,102,
    107,112,114,117,120,122,125] (28)
real form #1: [31,63,79,103,115,121,124,126] (8)
real form #0: [127] (1)


Cartan #1:
split: 0; compact: 5; complex: 1
canonical twisted involution: 1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 28; fiber size: 32; strong inv: 896
imaginary root system: A5
real root system: A1
complex factor is empty
real form #4: [0,2,5,8,10,13,17,20,22,27] (10)
real form #3: [1,3,4,6,9,11,12,14,16,18,21,23,24,26,29] (15)
real form #2: [7,15,19,25,28,30] (6)
real form #1: [31] (1)


Cartan #2:
split: 0; compact: 3; complex: 2
canonical twisted involution: 2,1,3,2,4,3,5,4,6,5,4,3,2,1,7,6,5,4,3,2
twisted involution orbit size: 210; fiber size: 8; strong inv: 1680
imaginary root system: A3
real root system: A1.A1
complex factor: A1
real form #4: [0,2,5] (3)
real form #3: [1,3,4,6] (4)
real form #2: [7] (1)


Cartan #3:
split: 0; compact: 1; complex: 3
canonical twisted involution: 3,2,1,4,3,2,5,4,3,2,1,6,5,4,3,2,7,6,5,4,3
twisted involution orbit size: 420; fiber size: 2; strong inv: 840
imaginary root system: A1
real root system: A1.A1.A1
complex factor: A2
real form #4: [0] (1)
real form #3: [1] (1)


Cartan #4:
split: 1; compact: 0; complex: 3
canonical twisted involution: 4,3,2,1,5,4,3,2,6,5,4,3,7,6,5,4
twisted involution orbit size: 105; fiber size: 1; strong inv: 105
imaginary root system is empty
real root system: A1.A1.A1.A1
complex factor: A3
real form #4: [0] (1)