
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: B8
real root system is empty
complex factor is empty
real form #8: [0,2,5,8,10,13,17,20,22,27,32,34,37,40,42,45,49,52,54,59,65,68,70,
    75,80,82,85,88,90,93,99,105,108,110,119,128,130,133,136,138,141,145,148,150,
    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] (70)
real form #7: [1,4,6,11,16,18,21,24,26,29,35,41,44,46,55,64,66,69,72,74,77,81,
    84,86,91,96,98,101,104,106,109,113,116,118,123,131,137,140,142,151,161,164,
    166,171,176,178,181,184,186,189,199,211,217,220,222,239] (56)
real form #6: [3,9,12,14,23,33,36,38,43,48,50,53,56,58,61,71,83,89,92,94,111,
    129,132,134,139,144,146,149,152,154,157,163,169,172,174,183,192,194,197,200,
    202,205,209,212,214,219,224,226,229,232,234,237,241,244,246,251] (56)
real form #5: [7,19,25,28,30,47,67,73,76,78,87,97,100,102,107,112,114,117,120,
    122,125,143,167,179,185,188,190,223] (28)
real form #4: [15,39,51,57,60,62,95,135,147,153,156,158,175,195,201,204,206,215,
    225,228,230,235,240,242,245,248,250,253] (28)
real form #3: [31,79,103,115,121,124,126,191] (8)
real form #2: [63,159,207,231,243,249,252,254] (8)
real form #1: [127] (1)
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.B6
real root system: A1
complex factor is empty
real form #8: [0,2,5,8,10,13,17,20,22,27,32,34,37,40,42,45,49,52,54,59] (20)
real form #7: [1,4,6,11,16,18,21,24,26,29,35,41,44,46,55] (15)
real form #6: [3,9,12,14,23,33,36,38,43,48,50,53,56,58,61] (15)
real form #5: [7,19,25,28,30,47] (6)
real form #4: [15,39,51,57,60,62] (6)
real form #3: [31] (1)
real form #2: [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: B7
real root system: A1
complex factor is empty
real form #8: [0,2,5,8,10,13,17,20,22,27,32,34,37,40,42,45,49,52,54,59,65,68,70,
    75,80,82,85,88,90,93,99,105,108,110,119] (35)
real form #7: [1,4,6,11,16,18,21,24,26,29,35,41,44,46,55,64,66,69,72,74,77,81,
    84,86,91,96,98,101,104,106,109,113,116,118,123] (35)
real form #6: [3,9,12,14,23,33,36,38,43,48,50,53,56,58,61,71,83,89,92,94,
    111] (21)
real form #5: [7,19,25,28,30,47,67,73,76,78,87,97,100,102,107,112,114,117,120,
    122,125] (21)
real form #4: [15,39,51,57,60,62,95] (7)
real form #3: [31,79,103,115,121,124,126] (7)
real form #2: [63] (1)
real form #1: [127] (1)


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: B6
real root system: B2
complex factor is empty
real form #8: [0,2,5,8,10,13,17,20,22,27,32,34,37,40,42,45,49,52,54,59] (20)
real form #7: [1,4,6,11,16,18,21,24,26,29,35,41,44,46,55] (15)
real form #6: [3,9,12,14,23,33,36,38,43,48,50,53,56,58,61] (15)
real form #5: [7,19,25,28,30,47] (6)
real form #4: [15,39,51,57,60,62] (6)
real form #3: [31] (1)
real form #2: [63] (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
twisted involution orbit size: 336; fiber size: 16; strong inv: 5376
imaginary root system: B5.A1
real root system: A1.A1
complex factor is empty
real form #8: [0,2,5,8,10,13,17,20,22,27] (10)
real form #7: [1,4,6,11,16,18,21,24,26,29] (10)
real form #6: [3,9,12,14,23] (5)
real form #5: [7,19,25,28,30] (5)
real form #4: [15] (1)
real form #3: [31] (1)


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: B5
real root system: B3
complex factor is empty
real form #8: [0,2,5,8,10,13,17,20,22,27] (10)
real form #7: [1,4,6,11,16,18,21,24,26,29] (10)
real form #6: [3,9,12,14,23] (5)
real form #5: [7,19,25,28,30] (5)
real form #4: [15] (1)
real form #3: [31] (1)

