
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: B6
real root system is empty
complex factor is empty
real form #6: [0,2,5,8,10,13,17,20,22,27,32,34,37,40,42,45,49,52,54,59] (20)
real form #5: [1,4,6,11,16,18,21,24,26,29,35,41,44,46,55] (15)
real form #4: [3,9,12,14,23,33,36,38,43,48,50,53,56,58,61] (15)
real form #3: [7,19,25,28,30,47] (6)
real form #2: [15,39,51,57,60,62] (6)
real form #1: [31] (1)
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.B4
real root system: A1
complex factor is empty
real form #6: [0,2,5,8,10,13] (6)
real form #5: [1,4,6,11] (4)
real form #4: [3,9,12,14] (4)
real form #3: [7] (1)
real form #2: [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: B5
real root system: A1
complex factor is empty
real form #6: [0,2,5,8,10,13,17,20,22,27] (10)
real form #5: [1,4,6,11,16,18,21,24,26,29] (10)
real form #4: [3,9,12,14,23] (5)
real form #3: [7,19,25,28,30] (5)
real form #2: [15] (1)
real form #1: [31] (1)


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: B4
real root system: B2
complex factor is empty
real form #6: [0,2,5,8,10,13] (6)
real form #5: [1,4,6,11] (4)
real form #4: [3,9,12,14] (4)
real form #3: [7] (1)
real form #2: [15] (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
twisted involution orbit size: 120; fiber size: 8; strong inv: 960
imaginary root system: B3.A1
real root system: A1.A1
complex factor is empty
real form #6: [0,2,5] (3)
real form #5: [1,4,6] (3)
real form #4: [3] (1)
real form #3: [7] (1)


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: B3
real root system: B3
complex factor is empty
real form #6: [0,2,5] (3)
real form #5: [1,4,6] (3)
real form #4: [3] (1)
real form #3: [7] (1)

