
Cartan #0:
split: 0; compact: 6; complex: 0
canonical twisted involution: e
twisted involution orbit size: 1; fiber size: 64; strong inv: 64
imaginary root system: C6
real root system is empty
complex factor is empty
real form #4: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
    25,26,27,28,29,30,31] (32)
real form #3: [32,34,37,40,42,45,49,52,54,59] (10)
real form #2: [33,35,36,38,41,43,44,46,48,50,53,55,56,58,61] (15)
real form #1: [39,47,51,57,60,62] (6)
real form #0: [63] (1)


Cartan #1:
split: 0; compact: 4; complex: 1
canonical twisted involution: 2,3,4,5,6,5,4,3,2,1,2,3,4,5,6,5,4,3,2
twisted involution orbit size: 30; fiber size: 16; strong inv: 480
imaginary root system: A1.C4
real root system: A1
complex factor is empty
real form #4: [0,2,4,6,8,10,12,14] (8)
real form #3: [1,5,11] (3)
real form #2: [3,7,9,13] (4)
real form #1: [15] (1)


Cartan #2:
split: 1; compact: 5; complex: 0
canonical twisted involution: 1,2,3,4,5,6,5,4,3,2,1
twisted involution orbit size: 6; fiber size: 32; strong inv: 192
imaginary root system: C5
real root system: A1
complex factor is empty
real form #4: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15] (16)


Cartan #3:
split: 2; compact: 4; complex: 0
canonical twisted involution: 2,3,4,5,6,5,4,3,2,1,2,3,4,5,6,5,4,3,2,1
twisted involution orbit size: 15; fiber size: 16; strong inv: 240
imaginary root system: C4
real root system: C2
complex factor is empty
real form #4: [0,1,2,3,4,5,6,7] (8)


Cartan #4:
split: 0; compact: 2; complex: 2
canonical twisted involution: 4,5,6,5,4,3,4,5,6,5,4,2,3,4,5,6,5,4,1,2,3,4,5,6,5,
    4
twisted involution orbit size: 180; fiber size: 4; strong inv: 720
imaginary root system: A1.C2.A1
real root system: A1.A1
complex factor: A1
real form #4: [0,2] (2)
real form #3: [1] (1)
real form #2: [3] (1)


Cartan #5:
split: 1; compact: 3; complex: 1
canonical twisted involution: 3,4,5,6,5,4,3,2,3,4,5,6,5,4,3,1,2,3,4,5,6,5,4,3,2,
    1
twisted involution orbit size: 120; fiber size: 8; strong inv: 960
imaginary root system: A1.C3
real root system: A1.A1
complex factor is empty
real form #4: [0,1,2,3] (4)


Cartan #6:
split: 2; compact: 2; complex: 1
canonical twisted involution: 4,5,6,5,4,3,4,5,6,5,4,2,3,4,5,6,5,4,3,2,1,2,3,4,5,
    6,5,4,3,2,1
twisted involution orbit size: 180; fiber size: 4; strong inv: 720
imaginary root system: A1.C2
real root system: C2.A1
complex factor is empty
real form #4: [0,1] (2)


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


Cartan #8:
split: 0; compact: 0; complex: 3
canonical twisted involution: 6,5,6,4,5,6,3,4,5,6,2,3,4,5,6,1,2,3,4,5,6
twisted involution orbit size: 120; fiber size: 1; strong inv: 120
imaginary root system: A1.A1.A1
real root system: A1.A1.A1
complex factor: A2
real form #4: [0] (1)
real form #3: [1] (1)


Cartan #9:
split: 1; compact: 1; complex: 2
canonical twisted involution: 5,6,5,4,5,6,5,3,4,5,6,5,2,3,4,5,6,5,1,2,3,4,5,6,5,
    4,3,2,1
twisted involution orbit size: 360; fiber size: 2; strong inv: 720
imaginary root system: A1.A1.A1
real root system: A1.A1.A1
complex factor: A1
real form #4: [0] (1)


Cartan #10:
split: 4; compact: 2; complex: 0
canonical twisted involution: 4,5,6,5,4,3,4,5,6,5,4,3,2,3,4,5,6,5,4,3,2,1,2,3,4,
    5,6,5,4,3,2,1
twisted involution orbit size: 15; fiber size: 4; strong inv: 60
imaginary root system: C2
real root system: C4
complex factor is empty
real form #4: [0,1] (2)


Cartan #11:
split: 2; compact: 0; complex: 2
canonical twisted involution: 6,5,6,4,5,6,3,4,5,6,2,3,4,5,6,5,4,3,2,1,2,3,4,5,6,
    5,4,3,2,1
twisted involution orbit size: 180; fiber size: 1; strong inv: 180
imaginary root system: A1.A1
real root system: C2.A1.A1
complex factor: A1
real form #4: [0] (1)


Cartan #12:
split: 3; compact: 1; complex: 1
canonical twisted involution: 5,6,5,4,5,6,5,3,4,5,6,5,4,3,2,3,4,5,6,5,4,3,2,1,2,
    3,4,5,6,5,4,3,2,1
twisted involution orbit size: 120; fiber size: 2; strong inv: 240
imaginary root system: A1.A1
real root system: C3.A1
complex factor is empty
real form #4: [0] (1)


Cartan #13:
split: 4; compact: 0; complex: 1
canonical twisted involution: 6,5,6,4,5,6,5,4,3,4,5,6,5,4,3,2,3,4,5,6,5,4,3,2,1,
    2,3,4,5,6,5,4,3,2,1
twisted involution orbit size: 30; fiber size: 1; strong inv: 30
imaginary root system: A1
real root system: C4.A1
complex factor is empty
real form #4: [0] (1)


Cartan #14:
split: 5; compact: 1; complex: 0
canonical twisted involution: 5,6,5,4,5,6,5,4,3,4,5,6,5,4,3,2,3,4,5,6,5,4,3,2,1,
    2,3,4,5,6,5,4,3,2,1
twisted involution orbit size: 6; fiber size: 2; strong inv: 12
imaginary root system: A1
real root system: C5
complex factor is empty
real form #4: [0] (1)


Cartan #15:
split: 6; compact: 0; complex: 0
canonical twisted involution: 6,5,6,5,4,5,6,5,4,3,4,5,6,5,4,3,2,3,4,5,6,5,4,3,2,
    1,2,3,4,5,6,5,4,3,2,1
twisted involution orbit size: 1; fiber size: 1; strong inv: 1
imaginary root system is empty
real root system: C6
complex factor is empty
real form #4: [0] (1)

