Cartan #0:
split: 0; compact: 7; complex: 0
canonical twisted involution: e
twisted involution orbit size: 1; fiber size: 128; strong inv: 128
imaginary root system: C7
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,
    25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
    50,51,52,53,54,55,56,57,58,59,60,61,62,63] (64)
real form #3: [64,65,66,68,69,70,72,74,75,77,80,81,82,84,85,86,88,90,91,93,96,
    98,99,101,104,105,106,108,109,110,113,116,118,119,123] (35)
real form #2: [67,71,73,76,78,83,87,89,92,94,97,100,102,107,111,112,114,117,120,
    122,125] (21)
real form #1: [79,95,103,115,121,124,126] (7)
real form #0: [127] (1)


Cartan #1:
split: 0; compact: 5; complex: 1
canonical twisted involution: 2,3,4,5,6,7,6,5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2
twisted involution orbit size: 42; fiber size: 32; strong inv: 1344
imaginary root system: A1.C5
real root system: A1
complex factor is empty
real form #4: [0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30] (16)
real form #3: [1,3,5,9,11,13,17,21,23,27] (10)
real form #2: [7,15,19,25,29] (5)
real form #1: [31] (1)


Cartan #2:
split: 0; compact: 5; complex: 1
canonical twisted involution: 1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 7; fiber size: 32; strong inv: 224
imaginary root system: C6
real root system: A1
complex factor is empty
real form #4: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
    25,26,27,28,29,30,31] (32)


Cartan #3:
split: 1; compact: 4; complex: 1
canonical twisted involution: 2,3,4,5,6,7,6,5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 21; fiber size: 16; strong inv: 336
imaginary root system: C5
real root system: C2
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 #4:
split: 0; compact: 3; complex: 2
canonical twisted involution: 4,5,6,7,6,5,4,3,4,5,6,7,6,5,4,2,3,4,5,6,7,6,5,4,1,
    2,3,4,5,6,7,6,5,4
twisted involution orbit size: 420; fiber size: 8; strong inv: 3360
imaginary root system: A1.C3.A1
real root system: A1.A1
complex factor: A1
real form #4: [0,2,4,6] (4)
real form #3: [1,3,5] (3)
real form #2: [7] (1)


Cartan #5:
split: 0; compact: 3; complex: 2
canonical twisted involution: 3,4,5,6,7,6,5,4,3,2,3,4,5,6,7,6,5,4,3,1,2,3,4,5,6,
    7,6,5,4,3,2,1
twisted involution orbit size: 210; fiber size: 8; strong inv: 1680
imaginary root system: A1.C4
real root system: A1.A1
complex factor is empty
real form #4: [0,1,2,3,4,5,6,7] (8)


Cartan #6:
split: 1; compact: 2; complex: 2
canonical twisted involution: 4,5,6,7,6,5,4,3,4,5,6,7,6,5,4,2,3,4,5,6,7,6,5,4,3,
    2,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 420; fiber size: 4; strong inv: 1680
imaginary root system: A1.C3
real root system: C2.A1
complex factor is empty
real form #4: [0,1,2,3] (4)


Cartan #7:
split: 2; compact: 3; complex: 1
canonical twisted involution: 3,4,5,6,7,6,5,4,3,2,3,4,5,6,7,6,5,4,3,2,1,2,3,4,5,
    6,7,6,5,4,3,2,1
twisted involution orbit size: 35; fiber size: 8; strong inv: 280
imaginary root system: C4
real root system: C3
complex factor is empty
real form #4: [0,1,2,3,4,5,6,7] (8)


Cartan #8:
split: 0; compact: 1; complex: 3
canonical twisted involution: 6,7,6,5,6,7,6,4,5,6,7,6,3,4,5,6,7,6,2,3,4,5,6,7,6,
    1,2,3,4,5,6,7,6
twisted involution orbit size: 840; fiber size: 2; strong inv: 1680
imaginary root system: A1.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: 0; compact: 1; complex: 3
canonical twisted involution: 5,6,7,6,5,4,5,6,7,6,5,3,4,5,6,7,6,5,2,3,4,5,6,7,6,
    5,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 1260; fiber size: 2; strong inv: 2520
imaginary root system: A1.C2.A1
real root system: A1.A1.A1
complex factor: A1
real form #4: [0,1] (2)


Cartan #10:
split: 3; compact: 2; complex: 1
canonical twisted involution: 4,5,6,7,6,5,4,3,4,5,6,7,6,5,4,3,2,3,4,5,6,7,6,5,4,
    3,2,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 35; fiber size: 4; strong inv: 140
imaginary root system: C3
real root system: C4
complex factor is empty
real form #4: [0,1,2,3] (4)


Cartan #11:
split: 1; compact: 0; complex: 3
canonical twisted involution: 6,7,6,5,6,7,6,4,5,6,7,6,3,4,5,6,7,6,2,3,4,5,6,7,6,
    5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 1260; fiber size: 1; strong inv: 1260
imaginary root system: A1.A1.A1
real root system: C2.A1.A1
complex factor: A1
real form #4: [0] (1)


Cartan #12:
split: 2; compact: 1; complex: 2
canonical twisted involution: 5,6,7,6,5,4,5,6,7,6,5,3,4,5,6,7,6,5,4,3,2,3,4,5,6,
    7,6,5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 420; fiber size: 2; strong inv: 840
imaginary root system: A1.C2
real root system: C3.A1
complex factor is empty
real form #4: [0,1] (2)


Cartan #13:
split: 1; compact: 0; complex: 3
canonical twisted involution: 7,6,7,5,6,7,4,5,6,7,3,4,5,6,7,2,3,4,5,6,7,1,2,3,4,
    5,6,7,6,5,4,3,2,1
twisted involution orbit size: 840; fiber size: 1; strong inv: 840
imaginary root system: A1.A1.A1
real root system: A1.A1.A1.A1
complex factor: A2
real form #4: [0] (1)


Cartan #14:
split: 3; compact: 0; complex: 2
canonical twisted involution: 6,7,6,5,6,7,6,4,5,6,7,6,5,4,3,4,5,6,7,6,5,4,3,2,3,
    4,5,6,7,6,5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 210; fiber size: 1; strong inv: 210
imaginary root system: A1.A1
real root system: C4.A1
complex factor is empty
real form #4: [0] (1)


Cartan #15:
split: 4; compact: 1; complex: 1
canonical twisted involution: 5,6,7,6,5,4,5,6,7,6,5,4,3,4,5,6,7,6,5,4,3,2,3,4,5,
    6,7,6,5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 21; fiber size: 2; strong inv: 42
imaginary root system: C2
real root system: C5
complex factor is empty
real form #4: [0,1] (2)


Cartan #16:
split: 3; compact: 0; complex: 2
canonical twisted involution: 7,6,7,5,6,7,4,5,6,7,3,4,5,6,7,6,5,4,3,2,3,4,5,6,7,
    6,5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 420; fiber size: 1; strong inv: 420
imaginary root system: A1.A1
real root system: C3.A1.A1
complex factor: A1
real form #4: [0] (1)


Cartan #17:
split: 5; compact: 0; complex: 1
canonical twisted involution: 6,7,6,5,6,7,6,5,4,5,6,7,6,5,4,3,4,5,6,7,6,5,4,3,2,
    3,4,5,6,7,6,5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 7; fiber size: 1; strong inv: 7
imaginary root system: A1
real root system: C6
complex factor is empty
real form #4: [0] (1)


Cartan #18:
split: 5; compact: 0; complex: 1
canonical twisted involution: 7,6,7,5,6,7,6,5,4,5,6,7,6,5,4,3,4,5,6,7,6,5,4,3,2,
    3,4,5,6,7,6,5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 42; fiber size: 1; strong inv: 42
imaginary root system: A1
real root system: C5.A1
complex factor is empty
real form #4: [0] (1)


Cartan #19:
split: 7; compact: 0; complex: 0
canonical twisted involution: 7,6,7,6,5,6,7,6,5,4,5,6,7,6,5,4,3,4,5,6,7,6,5,4,3,
    2,3,4,5,6,7,6,5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2,1
twisted involution orbit size: 1; fiber size: 1; strong inv: 1
imaginary root system is empty
real root system: C7
complex factor is empty
real form #4: [0] (1)