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


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


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


Cartan #3:
split: 6; compact: 0; complex: 1
canonical twisted involution: 1,2,1,3,2,1,4,3,2,5,4,3,2,1,6,5,4,3,2,1,7,6,5,4,3,
    2,1
twisted involution orbit size: 28; fiber size: 1; strong inv: 28
imaginary root system: A1
real root system: A5
complex factor is empty
real form #1: [0] (1)


Cartan #4:
split: 8; compact: 0; complex: 0
canonical twisted involution: 1,2,1,3,2,1,4,3,2,1,5,4,3,2,1,6,5,4,3,2,1,7,6,5,4,
    3,2,1
twisted involution orbit size: 1; fiber size: 1; strong inv: 1
imaginary root system is empty
real root system: A7
complex factor is empty
real form #1: [0] (1)

