
Cartan #0:
split: 0; compact: 9; complex: 0
canonical twisted involution: e
twisted involution orbit size: 1; fiber size: 512; strong inv: 512
imaginary root system: A9
real root system is empty
complex factor is empty
real form #5: [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,
    218,221,227,233,236,238,247,257,260,262,267,272,274,277,280,282,285,291,297,
    300,302,311,320,322,325,328,330,333,337,340,342,347,352,354,357,360,362,365,
    369,372,374,379,387,393,396,398,407,417,420,422,427,432,434,437,440,442,445,
    455,467,473,476,478,495] (126)
real form #4: [1,3,4,6,9,11,12,14,16,18,21,23,24,26,29,33,35,36,38,41,43,44,46,
    48,50,53,55,56,58,61,64,66,69,71,72,74,77,81,83,84,86,89,91,92,94,96,98,101,
    104,106,109,111,113,116,118,123,129,131,132,134,137,139,140,142,144,146,149,
    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,
    234,237,239,241,244,246,251,256,258,261,263,264,266,269,273,275,276,278,281,
    283,284,286,288,290,293,296,298,301,303,305,308,310,315,321,323,324,326,329,
    331,332,334,336,338,341,343,344,346,349,353,355,356,358,361,363,364,366,368,
    370,373,375,376,378,381,384,386,389,392,394,397,399,401,404,406,411,416,418,
    421,423,424,426,429,433,435,436,438,441,443,444,446,449,452,454,459,464,466,
    469,472,474,477,479,483,489,492,494,503] (210)
real form #3: [7,15,19,25,28,30,39,47,51,57,60,62,67,73,76,78,87,95,97,100,102,
    107,112,114,117,120,122,125,135,143,147,153,156,158,167,175,179,185,188,190,
    195,201,204,206,215,223,225,228,230,235,240,242,245,248,250,253,259,265,268,
    270,279,287,289,292,294,299,304,306,309,312,314,317,327,335,339,345,348,350,
    359,367,371,377,380,382,385,388,390,395,400,402,405,408,410,413,419,425,428,
    430,439,447,448,450,453,456,458,461,465,468,470,475,480,482,485,488,490,493,
    497,500,502,507] (120)
real form #2: [31,63,79,103,115,121,124,126,159,191,207,231,243,249,252,254,271,
    295,307,313,316,318,351,383,391,403,409,412,414,431,451,457,460,462,471,481,
    484,486,491,496,498,501,504,506,509] (45)
real form #1: [127,255,319,415,463,487,499,505,508,510] (10)
real form #0: [511] (1)


Cartan #1:
split: 0; compact: 7; complex: 1
canonical twisted involution: 1,2,3,4,5,6,7,8,9,8,7,6,5,4,3,2,1
twisted involution orbit size: 45; fiber size: 128; strong inv: 5760
imaginary root system: A7
real root system: A1
complex factor is empty
real form #5: [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 #4: [1,3,4,6,9,11,12,14,16,18,21,23,24,26,29,33,35,36,38,41,43,44,46,
    48,50,53,55,56,58,61,64,66,69,71,72,74,77,81,83,84,86,89,91,92,94,96,98,101,
    104,106,109,111,113,116,118,123] (56)
real form #3: [7,15,19,25,28,30,39,47,51,57,60,62,67,73,76,78,87,95,97,100,102,
    107,112,114,117,120,122,125] (28)
real form #2: [31,63,79,103,115,121,124,126] (8)
real form #1: [127] (1)


Cartan #2:
split: 0; compact: 5; complex: 2
canonical twisted involution: 2,1,3,2,4,3,5,4,6,5,7,6,8,7,6,5,4,3,2,1,9,8,7,6,5,
    4,3,2
twisted involution orbit size: 630; fiber size: 32; strong inv: 20160
imaginary root system: A5
real root system: A1.A1
complex factor: A1
real form #5: [0,2,5,8,10,13,17,20,22,27] (10)
real form #4: [1,3,4,6,9,11,12,14,16,18,21,23,24,26,29] (15)
real form #3: [7,15,19,25,28,30] (6)
real form #2: [31] (1)


Cartan #3:
split: 0; compact: 3; complex: 3
canonical twisted involution: 3,2,1,4,3,2,5,4,3,6,5,4,7,6,5,4,3,2,1,8,7,6,5,4,3,
    2,9,8,7,6,5,4,3
twisted involution orbit size: 3150; fiber size: 8; strong inv: 25200
imaginary root system: A3
real root system: A1.A1.A1
complex factor: A2
real form #5: [0,2,5] (3)
real form #4: [1,3,4,6] (4)
real form #3: [7] (1)

