
Cartan #0:
split: 0; compact: 5; complex: 0
canonical twisted involution: e
twisted involution orbit size: 1; fiber size: 32; strong inv: 32
imaginary root system: C5
real root system is empty
complex factor is empty
real form #3: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15] (16)
real form #2: [16,17,18,20,21,22,24,26,27,29] (10)
real form #1: [19,23,25,28,30] (5)
real form #0: [31] (1)


Cartan #1:
split: 0; compact: 3; complex: 1
canonical twisted involution: 2,3,4,5,4,3,2,1,2,3,4,5,4,3,2
twisted involution orbit size: 20; fiber size: 8; strong inv: 160
imaginary root system: A1.C3
real root system: A1
complex factor is empty
real form #3: [0,2,4,6] (4)
real form #2: [1,3,5] (3)
real form #1: [7] (1)


Cartan #2:
split: 1; compact: 4; complex: 0
canonical twisted involution: 1,2,3,4,5,4,3,2,1
twisted involution orbit size: 5; fiber size: 16; strong inv: 80
imaginary root system: C4
real root system: A1
complex factor is empty
real form #3: [0,1,2,3,4,5,6,7] (8)


Cartan #3:
split: 2; compact: 3; complex: 0
canonical twisted involution: 2,3,4,5,4,3,2,1,2,3,4,5,4,3,2,1
twisted involution orbit size: 10; fiber size: 8; strong inv: 80
imaginary root system: C3
real root system: C2
complex factor is empty
real form #3: [0,1,2,3] (4)


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


Cartan #5:
split: 1; compact: 2; complex: 1
canonical twisted involution: 3,4,5,4,3,2,3,4,5,4,3,1,2,3,4,5,4,3,2,1
twisted involution orbit size: 60; fiber size: 4; strong inv: 240
imaginary root system: A1.C2
real root system: A1.A1
complex factor is empty
real form #3: [0,1] (2)


Cartan #6:
split: 2; compact: 1; complex: 1
canonical twisted involution: 4,5,4,3,4,5,4,2,3,4,5,4,3,2,1,2,3,4,5,4,3,2,1
twisted involution orbit size: 60; fiber size: 2; strong inv: 120
imaginary root system: A1.A1
real root system: C2.A1
complex factor is empty
real form #3: [0] (1)


Cartan #7:
split: 3; compact: 2; complex: 0
canonical twisted involution: 3,4,5,4,3,2,3,4,5,4,3,2,1,2,3,4,5,4,3,2,1
twisted involution orbit size: 10; fiber size: 4; strong inv: 40
imaginary root system: C2
real root system: C3
complex factor is empty
real form #3: [0,1] (2)


Cartan #8:
split: 1; compact: 0; complex: 2
canonical twisted involution: 5,4,5,3,4,5,2,3,4,5,1,2,3,4,5,4,3,2,1
twisted involution orbit size: 60; fiber size: 1; strong inv: 60
imaginary root system: A1.A1
real root system: A1.A1.A1
complex factor: A1
real form #3: [0] (1)


Cartan #9:
split: 4; compact: 1; complex: 0
canonical twisted involution: 4,5,4,3,4,5,4,3,2,3,4,5,4,3,2,1,2,3,4,5,4,3,2,1
twisted involution orbit size: 5; fiber size: 2; strong inv: 10
imaginary root system: A1
real root system: C4
complex factor is empty
real form #3: [0] (1)


Cartan #10:
split: 3; compact: 0; complex: 1
canonical twisted involution: 5,4,5,3,4,5,4,3,2,3,4,5,4,3,2,1,2,3,4,5,4,3,2,1
twisted involution orbit size: 20; fiber size: 1; strong inv: 20
imaginary root system: A1
real root system: C3.A1
complex factor is empty
real form #3: [0] (1)


Cartan #11:
split: 5; compact: 0; complex: 0
canonical twisted involution: 5,4,5,4,3,4,5,4,3,2,3,4,5,4,3,2,1,2,3,4,5,4,3,2,1
twisted involution orbit size: 1; fiber size: 1; strong inv: 1
imaginary root system is empty
real root system: C5
complex factor is empty
real form #3: [0] (1)

