# Algebra (L) Fundamental group (H) Generators of H (k)
1 \( 6 A_1 \) \(Z_2^6\)
0 0 0 0 0 1
0 0 0 0 1 0
0 0 0 1 0 0
0 0 1 0 0 0
0 1 0 0 0 0
1 0 0 0 0 0
2 \( 2 B_3 \) \(Z_2^2\)
0 1
1 0
3 \( 3 C_2 \) \(Z_2^3\)
0 0 1
0 1 0
1 0 0
4 \( 2 A_1+2 C_2 \) \(Z_2^4\)
0 0 0 1
0 0 1 0
0 1 0 0
1 0 0 0
5 \( B_3+C_2+A_1^2 \) \(Z_2^2\)
0 1 0
1 0 0
6 \( A_1+2 C_2+A_1^2 \) \(Z_2^3\)
0 0 1 0
0 1 0 0
1 0 0 0
7 \( A_1+B_3+2 A_1^2 \) \(Z_2^2\)
0 1 0 0
1 0 0 0
8 \( B_4+2 A_1^2 \) \(Z_2\)
1 0 0
9 \( 2 C_2+2 A_1^2 \) \(Z_2^2\)
0 1 0 0
1 0 0 0
10 \( B_3+3 A_1^2 \) \(Z_2\)
1 0 0 0
11 \( A_1+C_2+3 A_1^2 \) \(Z_2^2\)
0 1 0 0 0
1 0 0 0 0
12 \( 2 A_1+4 A_1^2 \) \(Z_2^2\)
0 1 0 0 0 0
1 0 0 0 0 0
13 \( C_2+4 A_1^2 \) \(Z_2\)
1 0 0 0 0
14 \( 3 A_1+C_2+A_1^4 \) \(Z_2^4\)
0 0 0 1 0
0 0 1 0 0
0 1 0 0 0
1 0 0 0 0
15 \( B_3+C_2+A_1^4 \) \(Z_2^2\)
0 1 0
1 0 0
16 \( A_1+2 C_2+A_1^4 \) \(Z_2^3\)
0 0 1 0
0 1 0 0
1 0 0 0
17 \( A_1+B_3+A_1^2+A_1^4 \) \(Z_2^2\)
0 1 0 0
1 0 0 0
18 \( B_4+A_1^2+A_1^4 \) \(Z_2\)
1 0 0
19 \( 2 A_1+C_2+A_1^2+A_1^4 \) \(Z_2^3\)
0 0 1 0 0
0 1 0 0 0
1 0 0 0 0
20 \( 2 C_2+A_1^2+A_1^4 \) \(Z_2^2\)
0 1 0 0
1 0 0 0
21 \( B_3+2 A_1^2+A_1^4 \) \(Z_2\)
1 0 0 0
22 \( A_1+C_2+2 A_1^2+A_1^4 \) \(Z_2^2\)
0 1 0 0 0
1 0 0 0 0
23 \( 2 A_1+3 A_1^2+A_1^4 \) \(Z_2^2\)
0 1 0 0 0 0
1 0 0 0 0 0
24 \( C_2+3 A_1^2+A_1^4 \) \(Z_2\)
1 0 0 0 0
25 \( 4 A_1+2 A_1^4 \) \(Z_2^4\)
0 0 0 1 0 0
0 0 1 0 0 0
0 1 0 0 0 0
1 0 0 0 0 0
26 \( A_1+B_3+2 A_1^4 \) \(Z_2^2\)
0 1 0 0
1 0 0 0
27 \( B_4+2 A_1^4 \) \(Z_2\)
1 0 0
28 \( 2 A_1+C_2+2 A_1^4 \) \(Z_2^3\)
0 0 1 0 0
0 1 0 0 0
1 0 0 0 0
29 \( 2 C_2+2 A_1^4 \) \(Z_2^2\)
0 1 0 0
1 0 0 0
30 \( 3 A_1+A_1^2+2 A_1^4 \) \(Z_2^3\)
0 0 1 0 0 0
0 1 0 0 0 0
1 0 0 0 0 0
31 \( B_3+A_1^2+2 A_1^4 \) \(Z_2\)
1 0 0 0
32 \( A_1+C_2+A_1^2+2 A_1^4 \) \(Z_2^2\)
0 1 0 0 0
1 0 0 0 0
33 \( 2 A_1+2 A_1^2+2 A_1^4 \) \(Z_2^2\)
0 1 0 0 0 0
1 0 0 0 0 0
34 \( C_2+2 A_1^2+2 A_1^4 \) \(Z_2\)
1 0 0 0 0
35 \( A_1+3 A_1^2+2 A_1^4 \) \(Z_2\)
1 0 0 0 0 0
36 \( 4 A_1^2+2 A_1^4 \) \(Z_1\)
0 0 0 0 0 0
37 \( 3 A_2^2 \) \(Z_1\)
0 0 0
38 \( 3 A_2^2 \) \(Z_3\)
1 1 1
39 \( B_4+A_2^2 \) \(Z_2\)
1 0
40 \( B_3+A_1^2+A_2^2 \) \(Z_2\)
1 0 0
41 \( C_2+2 A_1^2+A_2^2 \) \(Z_2\)
1 0 0 0
42 \( A_1+3 A_1^2+A_2^2 \) \(Z_2\)
1 0 0 0 0
43 \( 4 A_1^2+A_2^2 \) \(Z_1\)
0 0 0 0 0
44 \( B_3+A_1^4+A_2^2 \) \(Z_2\)
1 0 0
45 \( C_2+A_1^2+A_1^4+A_2^2 \) \(Z_2\)
1 0 0 0
46 \( A_1+2 A_1^2+A_1^4+A_2^2 \) \(Z_2\)
1 0 0 0 0
47 \( 3 A_1^2+A_1^4+A_2^2 \) \(Z_1\)
0 0 0 0 0
48 \( C_2+2 A_1^4+A_2^2 \) \(Z_2\)
1 0 0 0
49 \( A_1+A_1^2+2 A_1^4+A_2^2 \) \(Z_2\)
1 0 0 0 0
50 \( 2 A_1^2+2 A_1^4+A_2^2 \) \(Z_1\)
0 0 0 0 0
51 \( C_2+2 A_2^2 \) \(Z_2\)
1 0 0
52 \( A_1+A_1^2+2 A_2^2 \) \(Z_2\)
1 0 0 0
53 \( 2 A_1^2+2 A_2^2 \) \(Z_1\)
0 0 0 0
54 \( A_1+A_1^4+2 A_2^2 \) \(Z_2\)
1 0 0 0
55 \( A_1^2+A_1^4+2 A_2^2 \) \(Z_1\)
0 0 0 0
56 \( 2 A_1^4+2 A_2^2 \) \(Z_1\)
0 0 0 0
57 \( 2 A_3^2 \) \(Z_1\)
0 0
58 \( 3 A_1^2+A_3^2 \) \(Z_1\)
0 0 0 0
59 \( 2 A_1^2+A_1^4+A_3^2 \) \(Z_1\)
0 0 0 0
60 \( A_1^2+2 A_1^4+A_3^2 \) \(Z_1\)
0 0 0 0
61 \( A_1^2+A_2^2+A_3^2 \) \(Z_1\)
0 0 0
62 \( A_1^4+A_2^2+A_3^2 \) \(Z_1\)
0 0 0
63 \( 2 A_1^2+A_4^2 \) \(Z_1\)
0 0 0
64 \( A_1^2+A_1^4+A_4^2 \) \(Z_1\)
0 0 0
65 \( A_2^2+A_4^2 \) \(Z_1\)
0 0
66 \( A_1+B_3+C_2^2 \) \(Z_2^2\)
0 1 0
1 0 0
67 \( B_4+C_2^2 \) \(Z_2\)
1 0
68 \( 2 C_2+C_2^2 \) \(Z_2^2\)
0 1 0
1 0 0
69 \( B_3+A_1^2+C_2^2 \) \(Z_2\)
1 0 0
70 \( A_1+C_2+A_1^2+C_2^2 \) \(Z_2^2\)
0 1 0 0
1 0 0 0
71 \( 2 A_1+2 A_1^2+C_2^2 \) \(Z_2^2\)
0 1 0 0 0
1 0 0 0 0
72 \( C_2+2 A_1^2+C_2^2 \) \(Z_2\)
1 0 0 0
73 \( A_1+3 A_1^2+C_2^2 \) \(Z_2\)
1 0 0 0 0
74 \( 4 A_1^2+C_2^2 \) \(Z_1\)
0 0 0 0 0
75 \( B_3+A_1^4+C_2^2 \) \(Z_2\)
1 0 0
76 \( A_1+C_2+A_1^4+C_2^2 \) \(Z_2^2\)
0 1 0 0
1 0 0 0
77 \( 2 A_1+A_1^2+A_1^4+C_2^2 \) \(Z_2^2\)
0 1 0 0 0
1 0 0 0 0
78 \( C_2+A_1^2+A_1^4+C_2^2 \) \(Z_2\)
1 0 0 0
79 \( A_1+2 A_1^2+A_1^4+C_2^2 \) \(Z_2\)
1 0 0 0 0
80 \( 3 A_1^2+A_1^4+C_2^2 \) \(Z_1\)
0 0 0 0 0
81 \( C_2+A_2^2+C_2^2 \) \(Z_2\)
1 0 0
82 \( A_1+A_1^2+A_2^2+C_2^2 \) \(Z_2\)
1 0 0 0
83 \( 2 A_1^2+A_2^2+C_2^2 \) \(Z_1\)
0 0 0 0
84 \( A_1+A_1^4+A_2^2+C_2^2 \) \(Z_2\)
1 0 0 0
85 \( A_1^2+A_1^4+A_2^2+C_2^2 \) \(Z_1\)
0 0 0 0
86 \( 2 A_2^2+C_2^2 \) \(Z_1\)
0 0 0
87 \( A_1^2+A_3^2+C_2^2 \) \(Z_1\)
0 0 0
88 \( A_1^4+A_3^2+C_2^2 \) \(Z_1\)
0 0 0
89 \( A_4^2+C_2^2 \) \(Z_1\)
0 0
90 \( 2 A_1+2 C_2^2 \) \(Z_2^2\)
0 1 0 0
1 0 0 0
91 \( C_2+2 C_2^2 \) \(Z_2\)
1 0 0
92 \( A_1+A_1^2+2 C_2^2 \) \(Z_2\)
1 0 0 0
93 \( 2 A_1^2+2 C_2^2 \) \(Z_1\)
0 0 0 0
94 \( A_2^2+2 C_2^2 \) \(Z_1\)
0 0 0
95 \( 2 C_3^2 \) \(Z_1\)
0 0
96 \( B_3+C_3^2 \) \(Z_2\)
1 0
97 \( C_2+A_1^2+C_3^2 \) \(Z_2\)
1 0 0
98 \( A_1+2 A_1^2+C_3^2 \) \(Z_2\)
1 0 0 0
99 \( 3 A_1^2+C_3^2 \) \(Z_1\)
0 0 0 0
100 \( C_2+A_1^4+C_3^2 \) \(Z_2\)
1 0 0
101 \( A_1+A_1^2+A_1^4+C_3^2 \) \(Z_2\)
1 0 0 0
102 \( 2 A_1^2+A_1^4+C_3^2 \) \(Z_1\)
0 0 0 0
103 \( A_1+A_2^2+C_3^2 \) \(Z_2\)
1 0 0
104 \( A_1^2+A_2^2+C_3^2 \) \(Z_1\)
0 0 0
105 \( A_1^4+A_2^2+C_3^2 \) \(Z_1\)
0 0 0
106 \( A_3^2+C_3^2 \) \(Z_1\)
0 0
107 \( A_1+C_2^2+C_3^2 \) \(Z_2\)
1 0 0
108 \( A_1^2+C_2^2+C_3^2 \) \(Z_1\)
0 0 0
109 \( 2 A_1^2+C_4^2 \) \(Z_1\)
0 0 0
110 \( A_1^2+A_1^4+C_4^2 \) \(Z_1\)
0 0 0
111 \( A_2^2+C_4^2 \) \(Z_1\)
0 0
112 \( C_2^2+C_4^2 \) \(Z_1\)
0 0
113 \( A_1^2+C_5^2 \) \(Z_1\)
0 0
114 \( A_1^4+C_5^2 \) \(Z_1\)
0 0