# Algebra (L) Fundamental group (H) Generators of H (k)
1 \( 6 A_1 \) \(Z_2^5\)
0 0 0 0 0 1
0 0 0 0 1 0
0 0 1 1 0 0
0 1 0 1 0 0
1 0 0 1 0 0
2 \( 6 A_1 \) \(Z_2^5\)
0 0 0 0 0 1
0 0 0 1 1 0
0 0 1 0 1 0
0 1 0 0 1 0
1 0 0 0 1 0
3 \( 6 A_1 \) \(Z_2^5\)
0 0 0 0 1 1
0 0 0 1 0 1
0 0 1 0 0 1
0 1 0 0 0 1
1 0 0 0 0 1
4 \( 3 C_2 \) \(Z_2^2\)
0 1 1
1 0 1
5 \( 2 A_1+2 C_2 \) \(Z_2^3\)
0 0 1 1
0 1 0 1
1 0 0 1
6 \( C_2+D_4 \) \(Z_2^3\)
0 s
0 c
1 0
7 \( 6 A_1^2 \) \(Z_2^2\)
0 0 1 1 1 1
1 1 0 0 1 1
8 \( A_1+2 C_2+A_1^2 \) \(Z_2^2\)
0 1 1 0
1 0 1 0
9 \( 2 C_2+2 A_1^2 \) \(Z_2\)
1 1 0 0
10 \( C_4+2 A_1^2 \) \(Z_2\)
1 0 0
11 \( A_3+3 A_1^2 \) \(Z_2\)
2 0 0 0
12 \( A_3+3 A_1^2 \) \(Z_4\)
1 1 1 1
13 \( A_1+C_2+3 A_1^2 \) \(Z_2\)
1 1 0 0 0
14 \( C_3+3 A_1^2 \) \(Z_1\)
0 0 0 0
15 \( 2 A_1+4 A_1^2 \) \(Z_2\)
1 1 0 0 0 0
16 \( 2 A_1+4 A_1^2 \) \(Z_2^2\)
0 0 1 1 1 1
1 1 0 0 0 0
17 \( A_2+4 A_1^2 \) \(Z_1\)
0 0 0 0 0
18 \( A_2+4 A_1^2 \) \(Z_2\)
0 1 1 1 1
19 \( A_1+5 A_1^2 \) \(Z_2\)
0 0 1 1 1 1
20 \( 3 A_1+C_2+A_1^4 \) \(Z_2^3\)
0 0 0 1 0
0 1 1 0 0
1 0 1 0 0
21 \( 3 A_1+C_2+A_1^4 \) \(Z_2^3\)
0 0 1 1 0
0 1 0 1 0
1 0 0 1 0
22 \( A_3+C_2+A_1^4 \) \(Z_2^2\)
0 1 0
2 0 0
23 \( A_1+2 C_2+A_1^4 \) \(Z_2^2\)
0 1 1 0
1 0 1 0
24 \( A_1+D_4+A_1^4 \) \(Z_2^3\)
0 s 0
0 c 0
1 0 0
25 \( 2 A_1+C_2+A_1^2+A_1^4 \) \(Z_2^2\)
0 1 1 0 0
1 0 1 0 0
26 \( 2 C_2+A_1^2+A_1^4 \) \(Z_2\)
1 1 0 0
27 \( C_4+A_1^2+A_1^4 \) \(Z_2\)
1 0 0
28 \( D_4+A_1^2+A_1^4 \) \(Z_2^2\)
s 0 0
c 0 0
29 \( A_3+2 A_1^2+A_1^4 \) \(Z_2\)
2 0 0 0
30 \( A_1+C_2+2 A_1^2+A_1^4 \) \(Z_2\)
1 1 0 0 0
31 \( C_3+2 A_1^2+A_1^4 \) \(Z_1\)
0 0 0 0
32 \( A_2+3 A_1^2+A_1^4 \) \(Z_1\)
0 0 0 0 0
33 \( C_2+3 A_1^2+A_1^4 \) \(Z_1\)
0 0 0 0 0
34 \( 4 A_1+2 A_1^4 \) \(Z_2^3\)
0 0 1 1 0 0
0 1 0 1 0 0
1 0 0 0 0 0
35 \( 4 A_1+2 A_1^4 \) \(Z_2^3\)
0 0 1 1 0 0
0 1 0 1 0 0
1 0 0 1 0 0
36 \( A_1+A_3+2 A_1^4 \) \(Z_2^2\)
0 2 0 0
1 0 0 0
37 \( 2 A_1+C_2+2 A_1^4 \) \(Z_2^2\)
0 0 1 0 0
1 1 0 0 0
38 \( 2 A_1+C_2+2 A_1^4 \) \(Z_2^2\)
0 1 1 0 0
1 0 1 0 0
39 \( A_2+C_2+2 A_1^4 \) \(Z_2\)
0 1 0 0
40 \( 2 C_2+2 A_1^4 \) \(Z_2\)
1 1 0 0
41 \( C_4+2 A_1^4 \) \(Z_2\)
1 0 0
42 \( D_4+2 A_1^4 \) \(Z_2^2\)
s 0 0
c 0 0
43 \( 3 A_1+A_1^2+2 A_1^4 \) \(Z_2^2\)
0 1 1 0 0 0
1 0 1 0 0 0
44 \( A_3+A_1^2+2 A_1^4 \) \(Z_2\)
2 0 0 0
45 \( A_1+C_2+A_1^2+2 A_1^4 \) \(Z_2\)
1 1 0 0 0
46 \( C_3+A_1^2+2 A_1^4 \) \(Z_1\)
0 0 0 0
47 \( 2 A_1+2 A_1^2+2 A_1^4 \) \(Z_2\)
1 1 0 0 0 0
48 \( A_2+2 A_1^2+2 A_1^4 \) \(Z_1\)
0 0 0 0 0
49 \( C_2+2 A_1^2+2 A_1^4 \) \(Z_1\)
0 0 0 0 0
50 \( A_1+3 A_1^2+2 A_1^4 \) \(Z_1\)
0 0 0 0 0 0
51 \( 4 A_1^2+2 A_1^4 \) \(Z_1\)
0 0 0 0 0 0
52 \( 3 A_1+3 A_1^4 \) \(Z_2^2\)
0 1 1 0 0 0
1 0 0 0 0 0
53 \( 3 A_1+3 A_1^4 \) \(Z_2^2\)
0 1 1 0 0 0
1 0 1 0 0 0
54 \( A_1+A_2+3 A_1^4 \) \(Z_2\)
1 0 0 0 0
55 \( A_3+3 A_1^4 \) \(Z_2\)
2 0 0 0
56 \( A_1+C_2+3 A_1^4 \) \(Z_2\)
0 1 0 0 0
57 \( A_1+C_2+3 A_1^4 \) \(Z_2\)
1 1 0 0 0
58 \( C_3+3 A_1^4 \) \(Z_1\)
0 0 0 0
59 \( 2 A_1+A_1^2+3 A_1^4 \) \(Z_2\)
1 1 0 0 0 0
60 \( A_2+A_1^2+3 A_1^4 \) \(Z_1\)
0 0 0 0 0
61 \( 2 A_1+4 A_1^4 \) \(Z_2\)
0 1 0 0 0 0
62 \( 2 A_1+4 A_1^4 \) \(Z_2\)
1 1 0 0 0 0
63 \( A_2+4 A_1^4 \) \(Z_1\)
0 0 0 0 0
64 \( C_2+4 A_1^4 \) \(Z_2\)
1 0 0 0 0
65 \( A_1+A_1^2+4 A_1^4 \) \(Z_1\)
0 0 0 0 0 0
66 \( 3 C_2^2 \) \(Z_1\)
0 0 0
67 \( C_4+C_2^2 \) \(Z_2\)
1 0
68 \( A_3+A_1^2+C_2^2 \) \(Z_2\)
2 0 0
69 \( A_1+C_2+A_1^2+C_2^2 \) \(Z_2\)
1 1 0 0
70 \( C_3+A_1^2+C_2^2 \) \(Z_1\)
0 0 0
71 \( 2 A_1+2 A_1^2+C_2^2 \) \(Z_2\)
1 1 0 0 0
72 \( A_2+2 A_1^2+C_2^2 \) \(Z_1\)
0 0 0 0
73 \( C_2+2 A_1^2+C_2^2 \) \(Z_1\)
0 0 0 0
74 \( A_1+3 A_1^2+C_2^2 \) \(Z_1\)
0 0 0 0 0
75 \( A_3+A_1^4+C_2^2 \) \(Z_2\)
2 0 0
76 \( A_1+C_2+A_1^4+C_2^2 \) \(Z_2\)
1 1 0 0
77 \( C_3+A_1^4+C_2^2 \) \(Z_1\)
0 0 0
78 \( 2 A_1+A_1^2+A_1^4+C_2^2 \) \(Z_2\)
1 1 0 0 0
79 \( A_2+A_1^2+A_1^4+C_2^2 \) \(Z_1\)
0 0 0 0
80 \( C_2+A_1^2+A_1^4+C_2^2 \) \(Z_1\)
0 0 0 0
81 \( A_1+2 A_1^2+A_1^4+C_2^2 \) \(Z_1\)
0 0 0 0 0
82 \( 2 A_1+2 A_1^4+C_2^2 \) \(Z_2\)
1 1 0 0 0
83 \( A_2+2 A_1^4+C_2^2 \) \(Z_1\)
0 0 0 0
84 \( C_2+2 A_1^4+C_2^2 \) \(Z_1\)
0 0 0 0
85 \( A_1+A_1^2+2 A_1^4+C_2^2 \) \(Z_1\)
0 0 0 0 0
86 \( 2 A_1+2 C_2^2 \) \(Z_2\)
1 1 0 0
87 \( A_2+2 C_2^2 \) \(Z_1\)
0 0 0
88 \( C_2+2 C_2^2 \) \(Z_1\)
0 0 0
89 \( A_1+A_1^2+2 C_2^2 \) \(Z_1\)
0 0 0 0
90 \( 2 A_1^2+2 C_2^2 \) \(Z_1\)
0 0 0 0
91 \( A_1+A_1^4+2 C_2^2 \) \(Z_1\)
0 0 0 0
92 \( A_1^2+A_1^4+2 C_2^2 \) \(Z_1\)
0 0 0 0