Cartan #0:
split: 0; compact: 5; complex: 1
canonical twisted involution: e
twisted involution orbit size: 7; fiber size: 32; strong inv: 224
imaginary root system: D6
real root system is empty
complex factor: A1
real form #3: [0,2,5,8,10,13,17,20,22,27] (10)
real form #2: [1,3,4,6,9,11,12,14,16,18,21,23,24,26,29] (15)
real form #1: [7,15,19,25,28,30] (6)
real form #0: [31] (1)


Cartan #1:
split: 0; compact: 3; complex: 2
canonical twisted involution: 2,3,4,5,6,7,5,4,3,2,1,2,3,4,5,6,7,5,4,3,2
twisted involution orbit size: 210; fiber size: 8; strong inv: 1680
imaginary root system: A1.D4
real root system: 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 #2:
split: 2; compact: 3; complex: 1
canonical twisted involution: 2,3,4,5,6,7,5,4,3,2,1,2,3,4,5,6,7,5,4,3,2,1
twisted involution orbit size: 35; fiber size: 8; strong inv: 280
imaginary root system: D4
real root system: A3
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: 4,5,6,7,5,4,3,4,5,6,7,5,4,2,3,4,5,6,7,5,4,1,2,3,4,
    5,6,7,5,4
twisted involution orbit size: 1260; fiber size: 2; strong inv: 2520
imaginary root system: A1.A1.A1.A1
real root system: A1.A1
complex factor: A1.A1
real form #3: [0] (1)
real form #2: [1] (1)


Cartan #4:
split: 2; compact: 1; complex: 2
canonical twisted involution: 4,5,6,7,5,4,3,4,5,6,7,5,4,2,3,4,5,6,7,5,4,3,2,1,2,
    3,4,5,6,7,5,4,3,2,1
twisted involution orbit size: 420; fiber size: 2; strong inv: 840
imaginary root system: A1.A1.A1
real root system: A3.A1
complex factor: A1
real form #3: [0] (1)
real form #2: [1] (1)


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


Cartan #6:
split: 4; compact: 1; complex: 1
canonical twisted involution: 4,5,6,7,5,4,3,4,5,6,7,5,4,3,2,3,4,5,6,7,5,4,3,2,1,
    2,3,4,5,6,7,5,4,3,2,1
twisted involution orbit size: 21; fiber size: 2; strong inv: 42
imaginary root system: A1.A1
real root system: D5
complex factor: A1
real form #3: [0] (1)
real form #2: [1] (1)


Cartan #7:
split: 3; compact: 0; complex: 2
canonical twisted involution: 6,7,5,6,7,4,5,6,7,3,4,5,6,7,2,3,4,5,6,7,5,4,3,2,1,
    2,3,4,5,6,7,5,4,3,2,1
twisted involution orbit size: 420; fiber size: 1; strong inv: 420
imaginary root system: A1.A1
real root system: A3.A1.A1
complex factor: A1
real form #3: [0] (1)


Cartan #8:
split: 5; compact: 0; complex: 1
canonical twisted involution: 6,7,5,6,7,4,5,6,7,5,4,3,4,5,6,7,5,4,3,2,3,4,5,6,7,
    5,4,3,2,1,2,3,4,5,6,7,5,4,3,2,1
twisted involution orbit size: 42; fiber size: 1; strong inv: 42
imaginary root system: A1
real root system: D5.A1
complex factor is empty
real form #3: [0] (1)


Cartan #9:
split: 7; compact: 0; complex: 0
canonical twisted involution: 6,7,5,6,7,5,4,5,6,7,5,4,3,4,5,6,7,5,4,3,2,3,4,5,6,
    7,5,4,3,2,1,2,3,4,5,6,7,5,4,3,2,1
twisted involution orbit size: 1; fiber size: 1; strong inv: 1
imaginary root system is empty
real root system: D7
complex factor is empty
real form #3: [0] (1)