
Cartan #0:
split: 0; compact: 6; complex: 1
canonical twisted involution: e
twisted involution orbit size: 8; fiber size: 64; strong inv: 512
imaginary root system: D7
real root system is empty
complex factor: A1
real form #3: [0,1,2,4,5,6,8,10,11,13,16,17,18,20,21,22,24,26,27,29,32,34,35,37,
    40,41,42,44,45,46,49,52,54,55,59] (35)
real form #2: [3,7,9,12,14,19,23,25,28,30,33,36,38,43,47,48,50,53,56,58,
    61] (21)
real form #1: [15,31,39,51,57,60,62] (7)
real form #0: [63] (1)


Cartan #1:
split: 0; compact: 4; complex: 2
canonical twisted involution: 2,3,4,5,6,7,8,6,5,4,3,2,1,2,3,4,5,6,7,8,6,5,4,3,2
twisted involution orbit size: 336; fiber size: 16; strong inv: 5376
imaginary root system: A1.D5
real root system: A1
complex factor: A1
real form #3: [0,1,2,4,5,6,8,10,11,13] (10)
real form #2: [3,7,9,12,14] (5)
real form #1: [15] (1)


Cartan #2:
split: 2; compact: 4; complex: 1
canonical twisted involution: 2,3,4,5,6,7,8,6,5,4,3,2,1,2,3,4,5,6,7,8,6,5,4,3,2,
    1
twisted involution orbit size: 56; fiber size: 16; strong inv: 896
imaginary root system: D5
real root system: A3
complex factor: A1
real form #3: [0,1,2,4,5,6,8,10,11,13] (10)
real form #2: [3,7,9,12,14] (5)
real form #1: [15] (1)


Cartan #3:
split: 0; compact: 2; complex: 3
canonical twisted involution: 4,5,6,7,8,6,5,4,3,4,5,6,7,8,6,5,4,2,3,4,5,6,7,8,6,
    5,4,1,2,3,4,5,6,7,8,6,5,4
twisted involution orbit size: 3360; fiber size: 4; strong inv: 13440
imaginary root system: A1.A3.A1
real root system: A1.A1
complex factor: A1.A1
real form #3: [0,1,2] (3)
real form #2: [3] (1)


Cartan #4:
split: 2; compact: 2; complex: 2
canonical twisted involution: 4,5,6,7,8,6,5,4,3,4,5,6,7,8,6,5,4,2,3,4,5,6,7,8,6,
    5,4,3,2,1,2,3,4,5,6,7,8,6,5,4,3,2,1
twisted involution orbit size: 1120; fiber size: 4; strong inv: 4480
imaginary root system: A1.A3
real root system: A3.A1
complex factor: A1
real form #3: [0,1,2] (3)
real form #2: [3] (1)


Cartan #5:
split: 0; compact: 0; complex: 4
canonical twisted involution: 6,7,8,6,5,6,7,8,6,4,5,6,7,8,6,3,4,5,6,7,8,6,2,3,4,
    5,6,7,8,6,1,2,3,4,5,6,7,8,6
twisted involution orbit size: 6720; fiber size: 1; strong inv: 6720
imaginary root system: A1.A1.A1
real root system: A1.A1.A1
complex factor: A2.A1
real form #3: [0] (1)


Cartan #6:
split: 4; compact: 2; complex: 1
canonical twisted involution: 4,5,6,7,8,6,5,4,3,4,5,6,7,8,6,5,4,3,2,3,4,5,6,7,8,
    6,5,4,3,2,1,2,3,4,5,6,7,8,6,5,4,3,2,1
twisted involution orbit size: 56; fiber size: 4; strong inv: 224
imaginary root system: A3
real root system: D5
complex factor: A1
real form #3: [0,1,2] (3)
real form #2: [3] (1)


Cartan #7:
split: 2; compact: 0; complex: 3
canonical twisted involution: 6,7,8,6,5,6,7,8,6,4,5,6,7,8,6,3,4,5,6,7,8,6,2,3,4,
    5,6,7,8,6,5,4,3,2,1,2,3,4,5,6,7,8,6,5,4,3,2,1
twisted involution orbit size: 3360; fiber size: 1; strong inv: 3360
imaginary root system: A1.A1
real root system: A3.A1.A1
complex factor: A1.A1
real form #3: [0] (1)


Cartan #8:
split: 4; compact: 0; complex: 2
canonical twisted involution: 6,7,8,6,5,6,7,8,6,4,5,6,7,8,6,5,4,3,4,5,6,7,8,6,5,
    4,3,2,3,4,5,6,7,8,6,5,4,3,2,1,2,3,4,5,6,7,8,6,5,4,3,2,1
twisted involution orbit size: 336; fiber size: 1; strong inv: 336
imaginary root system: A1
real root system: D5.A1
complex factor: A1
real form #3: [0] (1)


Cartan #9:
split: 6; compact: 0; complex: 1
canonical twisted involution: 6,7,8,6,5,6,7,8,6,5,4,5,6,7,8,6,5,4,3,4,5,6,7,8,6,
    5,4,3,2,3,4,5,6,7,8,6,5,4,3,2,1,2,3,4,5,6,7,8,6,5,4,3,2,1
twisted involution orbit size: 8; fiber size: 1; strong inv: 8
imaginary root system is empty
real root system: D7
complex factor: A1
real form #3: [0] (1)

