
Cartan #0:
split: 0; compact: 3; complex: 1
canonical twisted involution: e
twisted involution orbit size: 5; fiber size: 8; strong inv: 40
imaginary root system: D4
real root system is empty
complex factor: A1
real form #2: [0,2,5] (3)
real form #1: [1,3,4,6] (4)
real form #0: [7] (1)


Cartan #1:
split: 0; compact: 1; complex: 2
canonical twisted involution: 2,3,4,5,3,2,1,2,3,4,5,3,2
twisted involution orbit size: 60; fiber size: 2; strong inv: 120
imaginary root system: A1.A1.A1
real root system: A1
complex factor: A1
real form #2: [0] (1)
real form #1: [1] (1)


Cartan #2:
split: 2; compact: 1; complex: 1
canonical twisted involution: 2,3,4,5,3,2,1,2,3,4,5,3,2,1
twisted involution orbit size: 10; fiber size: 2; strong inv: 20
imaginary root system: A1.A1
real root system: A3
complex factor: A1
real form #2: [0] (1)
real form #1: [1] (1)


Cartan #3:
split: 1; compact: 0; complex: 2
canonical twisted involution: 4,5,3,4,5,2,3,4,5,1,2,3,4,5
twisted involution orbit size: 60; fiber size: 1; strong inv: 60
imaginary root system: A1.A1
real root system: A1.A1
complex factor: A1
real form #2: [0] (1)


Cartan #4:
split: 3; compact: 0; complex: 1
canonical twisted involution: 4,5,3,4,5,2,3,4,5,3,2,1,2,3,4,5,3,2,1
twisted involution orbit size: 20; fiber size: 1; strong inv: 20
imaginary root system: A1
real root system: A3.A1
complex factor is empty
real form #2: [0] (1)


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

