
Cartan #0:
split: 0; compact: 8; complex: 0
canonical twisted involution: e
twisted involution orbit size: 1; fiber size: 256; strong inv: 256
imaginary root system: C8
real root system is empty
complex factor is empty
real form #5: [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,
    25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
    50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
    75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
    100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
    119,120,121,122,123,124,125,126,127] (128)
real form #4: [128,130,133,136,138,141,145,148,150,155,160,162,165,168,170,173,
    177,180,182,187,193,196,198,203,208,210,213,216,218,221,227,233,236,238,
    247] (35)
real form #3: [129,131,132,134,137,139,140,142,144,146,149,151,152,154,157,161,
    163,164,166,169,171,172,174,176,178,181,183,184,186,189,192,194,197,199,200,
    202,205,209,211,212,214,217,219,220,222,224,226,229,232,234,237,239,241,244,
    246,251] (56)
real form #2: [135,143,147,153,156,158,167,175,179,185,188,190,195,201,204,206,
    215,223,225,228,230,235,240,242,245,248,250,253] (28)
real form #1: [159,191,207,231,243,249,252,254] (8)
real form #0: [255] (1)


Cartan #1:
split: 0; compact: 6; complex: 1
canonical twisted involution: 2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,
    3,2
twisted involution orbit size: 56; fiber size: 64; strong inv: 3584
imaginary root system: A1.C6
real root system: A1
complex factor is empty
real form #5: [0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,
    46,48,50,52,54,56,58,60,62] (32)
real form #4: [1,5,11,17,21,27,35,41,45,55] (10)
real form #3: [3,7,9,13,19,23,25,29,33,37,43,47,49,53,59] (15)
real form #2: [15,31,39,51,57,61] (6)
real form #1: [63] (1)


Cartan #2:
split: 0; compact: 6; complex: 1
canonical twisted involution: 1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 8; fiber size: 64; strong inv: 512
imaginary root system: C7
real root system: A1
complex factor is empty
real form #5: [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,
    25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
    50,51,52,53,54,55,56,57,58,59,60,61,62,63] (64)


Cartan #3:
split: 1; compact: 5; complex: 1
canonical twisted involution: 2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,
    3,2,1
twisted involution orbit size: 28; fiber size: 32; strong inv: 896
imaginary root system: C6
real root system: C2
complex factor is empty
real form #5: [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)


Cartan #4:
split: 0; compact: 4; complex: 2
canonical twisted involution: 4,5,6,7,8,7,6,5,4,3,4,5,6,7,8,7,6,5,4,2,3,4,5,6,7,
    8,7,6,5,4,1,2,3,4,5,6,7,8,7,6,5,4
twisted involution orbit size: 840; fiber size: 16; strong inv: 13440
imaginary root system: A1.C4.A1
real root system: A1.A1
complex factor: A1
real form #5: [0,2,4,6,8,10,12,14] (8)
real form #4: [1,5,11] (3)
real form #3: [3,7,9,13] (4)
real form #2: [15] (1)


Cartan #5:
split: 0; compact: 4; complex: 2
canonical twisted involution: 3,4,5,6,7,8,7,6,5,4,3,2,3,4,5,6,7,8,7,6,5,4,3,1,2,
    3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 336; fiber size: 16; strong inv: 5376
imaginary root system: A1.C5
real root system: A1.A1
complex factor is empty
real form #5: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15] (16)


Cartan #6:
split: 1; compact: 3; complex: 2
canonical twisted involution: 4,5,6,7,8,7,6,5,4,3,4,5,6,7,8,7,6,5,4,2,3,4,5,6,7,
    8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 840; fiber size: 8; strong inv: 6720
imaginary root system: A1.C4
real root system: C2.A1
complex factor is empty
real form #5: [0,1,2,3,4,5,6,7] (8)


Cartan #7:
split: 2; compact: 4; complex: 1
canonical twisted involution: 3,4,5,6,7,8,7,6,5,4,3,2,3,4,5,6,7,8,7,6,5,4,3,2,1,
    2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 56; fiber size: 16; strong inv: 896
imaginary root system: C5
real root system: C3
complex factor is empty
real form #5: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15] (16)


Cartan #8:
split: 0; compact: 2; complex: 3
canonical twisted involution: 6,7,8,7,6,5,6,7,8,7,6,4,5,6,7,8,7,6,3,4,5,6,7,8,7,
    6,2,3,4,5,6,7,8,7,6,1,2,3,4,5,6,7,8,7,6
twisted involution orbit size: 3360; fiber size: 4; strong inv: 13440
imaginary root system: A1.C2.A1.A1
real root system: A1.A1.A1
complex factor: A2
real form #5: [0,2] (2)
real form #4: [1] (1)
real form #3: [3] (1)


Cartan #9:
split: 0; compact: 2; complex: 3
canonical twisted involution: 5,6,7,8,7,6,5,4,5,6,7,8,7,6,5,3,4,5,6,7,8,7,6,5,2,
    3,4,5,6,7,8,7,6,5,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 3360; fiber size: 4; strong inv: 13440
imaginary root system: A1.C3.A1
real root system: A1.A1.A1
complex factor: A1
real form #5: [0,1,2,3] (4)


Cartan #10:
split: 3; compact: 3; complex: 1
canonical twisted involution: 4,5,6,7,8,7,6,5,4,3,4,5,6,7,8,7,6,5,4,3,2,3,4,5,6,
    7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 70; fiber size: 8; strong inv: 560
imaginary root system: C4
real root system: C4
complex factor is empty
real form #5: [0,1,2,3,4,5,6,7] (8)


Cartan #11:
split: 1; compact: 1; complex: 3
canonical twisted involution: 6,7,8,7,6,5,6,7,8,7,6,4,5,6,7,8,7,6,3,4,5,6,7,8,7,
    6,2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 5040; fiber size: 2; strong inv: 10080
imaginary root system: A1.C2.A1
real root system: C2.A1.A1
complex factor: A1
real form #5: [0,1] (2)


Cartan #12:
split: 2; compact: 2; complex: 2
canonical twisted involution: 5,6,7,8,7,6,5,4,5,6,7,8,7,6,5,3,4,5,6,7,8,7,6,5,4,
    3,2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 1120; fiber size: 4; strong inv: 4480
imaginary root system: A1.C3
real root system: C3.A1
complex factor is empty
real form #5: [0,1,2,3] (4)


Cartan #13:
split: 1; compact: 1; complex: 3
canonical twisted involution: 8,7,8,6,7,8,5,6,7,8,4,5,6,7,8,3,4,5,6,7,8,2,3,4,5,
    6,7,8,1,2,3,4,5,6,7,8
twisted involution orbit size: 1680; fiber size: 2; strong inv: 3360
imaginary root system: A1.A1.A1.A1
real root system: A1.A1.A1.A1
complex factor: A3
real form #5: [0] (1)
real form #4: [1] (1)


Cartan #14:
split: 0; compact: 0; complex: 4
canonical twisted involution: 7,8,7,6,7,8,7,5,6,7,8,7,4,5,6,7,8,7,3,4,5,6,7,8,7,
    2,3,4,5,6,7,8,7,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 6720; fiber size: 1; strong inv: 6720
imaginary root system: A1.A1.A1.A1
real root system: A1.A1.A1.A1
complex factor: A2
real form #5: [0] (1)


Cartan #15:
split: 3; compact: 1; complex: 2
canonical twisted involution: 6,7,8,7,6,5,6,7,8,7,6,4,5,6,7,8,7,6,5,4,3,4,5,6,7,
    8,7,6,5,4,3,2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 840; fiber size: 2; strong inv: 1680
imaginary root system: A1.C2
real root system: C4.A1
complex factor is empty
real form #5: [0,1] (2)


Cartan #16:
split: 4; compact: 2; complex: 1
canonical twisted involution: 5,6,7,8,7,6,5,4,5,6,7,8,7,6,5,4,3,4,5,6,7,8,7,6,5,
    4,3,2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 56; fiber size: 4; strong inv: 224
imaginary root system: C3
real root system: C5
complex factor is empty
real form #5: [0,1,2,3] (4)


Cartan #17:
split: 2; compact: 0; complex: 3
canonical twisted involution: 8,7,8,6,7,8,5,6,7,8,4,5,6,7,8,3,4,5,6,7,8,2,3,4,5,
    6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 3360; fiber size: 1; strong inv: 3360
imaginary root system: A1.A1.A1
real root system: C2.A1.A1.A1
complex factor: A2
real form #5: [0] (1)


Cartan #18:
split: 2; compact: 0; complex: 3
canonical twisted involution: 7,8,7,6,7,8,7,5,6,7,8,7,4,5,6,7,8,7,3,4,5,6,7,8,7,
    6,5,4,3,2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 3360; fiber size: 1; strong inv: 3360
imaginary root system: A1.A1.A1
real root system: C3.A1.A1
complex factor: A1
real form #5: [0] (1)


Cartan #19:
split: 5; compact: 1; complex: 1
canonical twisted involution: 6,7,8,7,6,5,6,7,8,7,6,5,4,5,6,7,8,7,6,5,4,3,4,5,6,
    7,8,7,6,5,4,3,2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 28; fiber size: 2; strong inv: 56
imaginary root system: C2
real root system: C6
complex factor is empty
real form #5: [0,1] (2)


Cartan #20:
split: 4; compact: 0; complex: 2
canonical twisted involution: 8,7,8,6,7,8,5,6,7,8,4,5,6,7,8,7,6,5,4,3,4,5,6,7,8,
    7,6,5,4,3,2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 840; fiber size: 1; strong inv: 840
imaginary root system: A1.A1
real root system: C4.A1.A1
complex factor: A1
real form #5: [0] (1)


Cartan #21:
split: 4; compact: 0; complex: 2
canonical twisted involution: 7,8,7,6,7,8,7,5,6,7,8,7,6,5,4,5,6,7,8,7,6,5,4,3,4,
    5,6,7,8,7,6,5,4,3,2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 336; fiber size: 1; strong inv: 336
imaginary root system: A1.A1
real root system: C5.A1
complex factor is empty
real form #5: [0] (1)


Cartan #22:
split: 6; compact: 0; complex: 1
canonical twisted involution: 8,7,8,6,7,8,7,6,5,6,7,8,7,6,5,4,5,6,7,8,7,6,5,4,3,
    4,5,6,7,8,7,6,5,4,3,2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 56; fiber size: 1; strong inv: 56
imaginary root system: A1
real root system: C6.A1
complex factor is empty
real form #5: [0] (1)


Cartan #23:
split: 6; compact: 0; complex: 1
canonical twisted involution: 7,8,7,6,7,8,7,6,5,6,7,8,7,6,5,4,5,6,7,8,7,6,5,4,3,
    4,5,6,7,8,7,6,5,4,3,2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1
twisted involution orbit size: 8; fiber size: 1; strong inv: 8
imaginary root system: A1
real root system: C7
complex factor is empty
real form #5: [0] (1)


Cartan #24:
split: 8; compact: 0; complex: 0
canonical twisted involution: 8,7,8,7,6,7,8,7,6,5,6,7,8,7,6,5,4,5,6,7,8,7,6,5,4,
    3,4,5,6,7,8,7,6,5,4,3,2,3,4,5,6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,7,6,5,4,3,2,
    1
twisted involution orbit size: 1; fiber size: 1; strong inv: 1
imaginary root system is empty
real root system: C8
complex factor is empty
real form #5: [0] (1)

