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: B5
real root system is empty
complex factor is empty
real form #5: [0,2,5,8,10,13,17,20,22,27] (10)
real form #4: [1,4,6,11,16,18,21,24,26,29] (10)
real form #3: [3,9,12,14,23] (5)
real form #2: [7,19,25,28,30] (5)
real form #1: [15] (1)
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.B3
real root system: A1
complex factor is empty
real form #5: [0,2,5] (3)
real form #4: [1,4,6] (3)
real form #3: [3] (1)
real form #2: [7] (1)
Cartan #2:
split: 0; compact: 3; complex: 1
canonical twisted involution: 1,2,3,4,5,4,3,2,1
twisted involution orbit size: 5; fiber size: 8; strong inv: 40
imaginary root system: B4
real root system: A1
complex factor is empty
real form #5: [0,2,5,8,10,13] (6)
real form #4: [1,4,6,11] (4)
real form #3: [3,9,12,14] (4)
real form #2: [7] (1)
real form #1: [15] (1)
Cartan #3:
split: 1; compact: 2; complex: 1
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: 4; strong inv: 40
imaginary root system: B3
real root system: B2
complex factor is empty
real form #5: [0,2,5] (3)
real form #4: [1,4,6] (3)
real form #3: [3] (1)
real form #2: [7] (1)
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 #5: [0] (1)
real form #4: [1] (1)
Cartan #5:
split: 0; compact: 1; complex: 2
canonical twisted involution: 3,4,5,4,3,2,3,4,5,4,3,1,2,3,4,5,4,3
twisted involution orbit size: 60; fiber size: 2; strong inv: 120
imaginary root system: B2.A1
real root system: A1.A1
complex factor is empty
real form #5: [0,2] (2)
real form #4: [1] (1)
real form #3: [3] (1)
Cartan #6:
split: 1; compact: 0; complex: 2
canonical twisted involution: 4,5,4,3,4,5,4,2,3,4,5,4,1,2,3,4,5,4,3,2,1
twisted involution orbit size: 60; fiber size: 1; strong inv: 60
imaginary root system: A1.A1
real root system: B2.A1
complex factor is empty
real form #5: [0] (1)
real form #4: [1] (1)
Cartan #7:
split: 2; compact: 1; complex: 1
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: 2; strong inv: 20
imaginary root system: B2
real root system: B3
complex factor is empty
real form #5: [0,2] (2)
real form #4: [1] (1)
real form #3: [3] (1)
Cartan #10:
split: 3; compact: 0; complex: 1
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: 1; strong inv: 5
imaginary root system: A1
real root system: B4
complex factor is empty
real form #5: [0] (1)
real form #4: [1] (1)