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: B7
real root system is empty
complex factor is empty
real form #7: [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 #6: [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 #5: [3,9,12,14,23,33,36,38,43,48,50,53,56,58,61,71,83,89,92,94,
    111] (21)
real form #4: [7,19,25,28,30,47,67,73,76,78,87,97,100,102,107,112,114,117,120,
    122,125] (21)
real form #3: [15,39,51,57,60,62,95] (7)
real form #2: [31,79,103,115,121,124,126] (7)
real form #1: [63] (1)
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.B5
real root system: A1
complex factor is empty
real form #7: [0,2,5,8,10,13,17,20,22,27] (10)
real form #6: [1,4,6,11,16,18,21,24,26,29] (10)
real form #5: [3,9,12,14,23] (5)
real form #4: [7,19,25,28,30] (5)
real form #3: [15] (1)
real form #2: [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: B6
real root system: A1
complex factor is empty
real form #7: [0,2,5,8,10,13,17,20,22,27,32,34,37,40,42,45,49,52,54,59] (20)
real form #6: [1,4,6,11,16,18,21,24,26,29,35,41,44,46,55] (15)
real form #5: [3,9,12,14,23,33,36,38,43,48,50,53,56,58,61] (15)
real form #4: [7,19,25,28,30,47] (6)
real form #3: [15,39,51,57,60,62] (6)
real form #2: [31] (1)
real form #1: [63] (1)


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: B5
real root system: B2
complex factor is empty
real form #7: [0,2,5,8,10,13,17,20,22,27] (10)
real form #6: [1,4,6,11,16,18,21,24,26,29] (10)
real form #5: [3,9,12,14,23] (5)
real form #4: [7,19,25,28,30] (5)
real form #3: [15] (1)
real form #2: [31] (1)


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.B3.A1
real root system: A1.A1
complex factor: A1
real form #7: [0,2,5] (3)
real form #6: [1,4,6] (3)
real form #5: [3] (1)
real form #4: [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
twisted involution orbit size: 210; fiber size: 8; strong inv: 1680
imaginary root system: B4.A1
real root system: A1.A1
complex factor is empty
real form #7: [0,2,5,8,10,13] (6)
real form #6: [1,4,6,11] (4)
real form #5: [3,9,12,14] (4)
real form #4: [7] (1)
real form #3: [15] (1)


Cartan #6:
split: 1; compact: 2; complex: 2
canonical twisted involution: 4,5,6,7,6,5,4,3,4,5,6,7,6,5,4,2,3,4,5,6,7,6,5,4,1,
    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: B3.A1
real root system: B2.A1
complex factor is empty
real form #7: [0,2,5] (3)
real form #6: [1,4,6] (3)
real form #5: [3] (1)
real form #4: [7] (1)


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: B4
real root system: B3
complex factor is empty
real form #7: [0,2,5,8,10,13] (6)
real form #6: [1,4,6,11] (4)
real form #5: [3,9,12,14] (4)
real form #4: [7] (1)
real form #3: [15] (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
twisted involution orbit size: 1260; fiber size: 2; strong inv: 2520
imaginary root system: B2.A1.A1
real root system: A1.A1.A1
complex factor: A1
real form #7: [0,2] (2)
real form #6: [1] (1)
real form #5: [3] (1)


Cartan #11:
split: 2; compact: 1; complex: 2
canonical twisted involution: 5,6,7,6,5,4,5,6,7,6,5,3,4,5,6,7,6,5,2,3,4,5,6,7,6,
    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: B2.A1
real root system: B3.A1
complex factor is empty
real form #7: [0,2] (2)
real form #6: [1] (1)
real form #5: [3] (1)


Cartan #12:
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: B3
real root system: B4
complex factor is empty
real form #7: [0,2,5] (3)
real form #6: [1,4,6] (3)
real form #5: [3] (1)
real form #4: [7] (1)


Cartan #16:
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: B2
real root system: B5
complex factor is empty
real form #7: [0,2] (2)
real form #6: [1] (1)
real form #5: [3] (1)