# Algebra (L) Fundamental group (H) Generators of H (k)
1 \( 5 A_1 \) \(Z_2^5\)
0 0 0 0 1
0 0 0 1 0
0 0 1 0 0
0 1 0 0 0
1 0 0 0 0
2 \( A_1+2 C_2 \) \(Z_2^3\)
0 0 1
0 1 0
1 0 0
3 \( 2 C_2+A_1^2 \) \(Z_2^2\)
0 1 0
1 0 0
4 \( B_3+2 A_1^2 \) \(Z_2\)
1 0 0
5 \( C_2+3 A_1^2 \) \(Z_2\)
1 0 0 0
6 \( A_1+4 A_1^2 \) \(Z_2\)
1 0 0 0 0
7 \( 2 A_1+C_2+A_1^4 \) \(Z_2^3\)
0 0 1 0
0 1 0 0
1 0 0 0
8 \( 2 C_2+A_1^4 \) \(Z_2^2\)
0 1 0
1 0 0
9 \( B_3+A_1^2+A_1^4 \) \(Z_2\)
1 0 0
10 \( A_1+C_2+A_1^2+A_1^4 \) \(Z_2^2\)
0 1 0 0
1 0 0 0
11 \( C_2+2 A_1^2+A_1^4 \) \(Z_2\)
1 0 0 0
12 \( A_1+3 A_1^2+A_1^4 \) \(Z_2\)
1 0 0 0 0
13 \( 4 A_1^2+A_1^4 \) \(Z_1\)
0 0 0 0 0
14 \( 3 A_1+2 A_1^4 \) \(Z_2^3\)
0 0 1 0 0
0 1 0 0 0
1 0 0 0 0
15 \( B_3+2 A_1^4 \) \(Z_2\)
1 0 0
16 \( A_1+C_2+2 A_1^4 \) \(Z_2^2\)
0 1 0 0
1 0 0 0
17 \( 2 A_1+A_1^2+2 A_1^4 \) \(Z_2^2\)
0 1 0 0 0
1 0 0 0 0
18 \( C_2+A_1^2+2 A_1^4 \) \(Z_2\)
1 0 0 0
19 \( A_1+2 A_1^2+2 A_1^4 \) \(Z_2\)
1 0 0 0 0
20 \( 3 A_1^2+2 A_1^4 \) \(Z_1\)
0 0 0 0 0
21 \( 2 A_1+3 A_1^4 \) \(Z_2^2\)
0 1 0 0 0
1 0 0 0 0
22 \( C_2+3 A_1^4 \) \(Z_2\)
1 0 0 0
23 \( A_1+A_1^2+3 A_1^4 \) \(Z_2\)
1 0 0 0 0
24 \( 2 A_1^2+3 A_1^4 \) \(Z_1\)
0 0 0 0 0
25 \( 3 A_1^2+A_2^2 \) \(Z_1\)
0 0 0 0
26 \( 2 A_1^2+A_1^4+A_2^2 \) \(Z_1\)
0 0 0 0
27 \( A_1^2+2 A_1^4+A_2^2 \) \(Z_1\)
0 0 0 0
28 \( 3 A_1^4+A_2^2 \) \(Z_1\)
0 0 0 0
29 \( A_1^2+2 A_2^2 \) \(Z_1\)
0 0 0
30 \( A_1^4+2 A_2^2 \) \(Z_1\)
0 0 0
31 \( B_3+C_2^2 \) \(Z_2\)
1 0
32 \( C_2+A_1^2+C_2^2 \) \(Z_2\)
1 0 0
33 \( A_1+2 A_1^2+C_2^2 \) \(Z_2\)
1 0 0 0
34 \( 3 A_1^2+C_2^2 \) \(Z_1\)
0 0 0 0
35 \( C_2+A_1^4+C_2^2 \) \(Z_2\)
1 0 0
36 \( A_1+A_1^2+A_1^4+C_2^2 \) \(Z_2\)
1 0 0 0
37 \( 2 A_1^2+A_1^4+C_2^2 \) \(Z_1\)
0 0 0 0
38 \( A_1+2 A_1^4+C_2^2 \) \(Z_2\)
1 0 0 0
39 \( A_1^2+2 A_1^4+C_2^2 \) \(Z_1\)
0 0 0 0
40 \( A_1^2+A_2^2+C_2^2 \) \(Z_1\)
0 0 0
41 \( A_1^4+A_2^2+C_2^2 \) \(Z_1\)
0 0 0
42 \( A_1+2 C_2^2 \) \(Z_2\)
1 0 0
43 \( A_1^2+2 C_2^2 \) \(Z_1\)
0 0 0
44 \( A_1^4+2 C_2^2 \) \(Z_1\)
0 0 0
45 \( 2 A_1^2+C_3^2 \) \(Z_1\)
0 0 0
46 \( A_1^2+A_1^4+C_3^2 \) \(Z_1\)
0 0 0
47 \( 2 A_1^4+C_3^2 \) \(Z_1\)
0 0 0
48 \( A_2^2+C_3^2 \) \(Z_1\)
0 0
49 \( C_2^2+C_3^2 \) \(Z_1\)
0 0