# Algebra (L) Fundamental group (H) Generators of H (k)
1 \( 2 A_2+2 A_3 \) \(Z_2\)
0 0 2 2
2 \( 2 A_5 \) \(Z_2\)
3 3
3 \( 2 A_1+A_3+A_5 \) \(Z_2^2\)
0 1 0 3
1 0 2 3
4 \( A_1+A_4+A_5 \) \(Z_2\)
1 0 3
5 \( 2 A_2+A_6 \) \(1\)
6 \( A_1+A_2+A_7 \) \(Z_2\)
0 0 4
7 \( A_1+A_9 \) \(Z_2\)
1 5
8 \( 2 A_1+2 A_3+C_2 \) \(Z_2^2\)
0 1 0 2 1
1 0 2 0 1
9 \( A_1+A_3+A_4+C_2 \) \(Z_2\)
1 2 0 1
10 \( 2 A_4+C_2 \) \(1\)
11 \( 3 A_1+A_5+C_2 \) \(Z_2^2\)
0 0 0 3 1
1 1 1 0 1
12 \( A_3+A_5+C_2 \) \(Z_2\)
0 3 1
13 \( A_2+A_6+C_2 \) \(1\)
14 \( A_8+C_2 \) \(1\)
15 \( 2 A_2+A_3+C_3 \) \(1\)
16 \( A_1+A_2+A_4+C_3 \) \(1\)
17 \( A_2+A_5+C_3 \) \(1\)
18 \( A_1+A_6+C_3 \) \(1\)
19 \( 2 A_1+2 A_2+C_4 \) \(Z_2\)
1 1 0 0 1
20 \( A_1+A_2+A_3+C_4 \) \(Z_2\)
0 0 2 1
21 \( 2 A_1+A_4+C_4 \) \(Z_2\)
1 1 0 1
22 \( A_1+A_4+C_5 \) \(1\)
23 \( A_5+C_5 \) \(1\)
24 \( 2 A_1+A_2+C_6 \) \(Z_2\)
0 1 0 1
25 \( 2 A_2+C_6 \) \(1\)
26 \( A_1+A_3+C_6 \) \(Z_2\)
1 0 1
27 \( A_4+C_6 \) \(1\)
28 \( A_1+A_2+C_7 \) \(1\)
29 \( 2 A_1+C_8 \) \(Z_2\)
0 0 1
30 \( A_2+C_8 \) \(Z_2\)
0 1
31 \( A_1+C_9 \) \(1\)
32 \( C_{10} \) \(1\)
33 \( 2 D_5 \) \(Z_2\)
2 2
34 \( A_1+A_2+C_2+D_5 \) \(Z_2\)
1 0 1 2
35 \( A_1+C_4+D_5 \) \(Z_2\)
0 1 2
36 \( C_5+D_5 \) \(1\)
37 \( A_1+A_3+D_6 \) \(Z_2^2\)
0 2 v
1 0 c
38 \( A_2+C_2+D_6 \) \(Z_2\)
0 1 c
39 \( C_4+D_6 \) \(Z_2\)
1 v
40 \( A_1+C_2+D_7 \) \(Z_2\)
1 1 2
41 \( 2 A_1+D_8 \) \(Z_2^2\)
0 0 s
1 1 c
42 \( A_4+E_6 \) \(1\)
43 \( A_1+C_3+E_6 \) \(1\)
44 \( C_4+E_6 \) \(1\)
45 \( A_1+A_2+E_7 \) \(Z_2\)
1 0 1
46 \( A_1+C_2+E_7 \) \(Z_2\)
0 1 1
47 \( C_3+E_7 \) \(1\)
48 \( C_2+E_8 \) \(1\)
49 \( A_1+2 A_2+A_4+A_1^2 \) \(1\)
50 \( A_1+A_3+A_5+A_1^2 \) \(Z_2\)
1 2 3 0
51 \( A_4+A_5+A_1^2 \) \(1\)
52 \( A_1+A_2+A_6+A_1^2 \) \(1\)
53 \( 2 A_1+A_7+A_1^2 \) \(Z_2\)
1 1 4 0
54 \( A_1+A_8+A_1^2 \) \(1\)
55 \( A_9+A_1^2 \) \(1\)
56 \( A_4+D_5+A_1^2 \) \(1\)
57 \( D_9+A_1^2 \) \(1\)
58 \( A_1+A_2+E_6+A_1^2 \) \(1\)
59 \( A_3+E_6+A_1^2 \) \(1\)
60 \( A_2+E_7+A_1^2 \) \(1\)
61 \( A_1+E_8+A_1^2 \) \(1\)