# Algebra (L) Fundamental group (H) Generators of H (k)
1 \( 6 A_1 \) \(Z_2^3\)
0 0 0 0 1 1
0 0 1 1 0 0
1 1 0 0 0 0
2 \( 3 A_2 \) \(Z_1\)
0 0 0
3 \( 4 A_1+A_2 \) \(Z_2^2\)
0 0 1 1 0
1 1 0 0 0
4 \( 2 A_1+2 A_2 \) \(Z_2\)
1 1 0 0
5 \( 2 A_3 \) \(Z_4\)
1 1
6 \( 2 A_3 \) \(Z_2 Z_4\)
0 2
1 1
7 \( 3 A_1+A_3 \) \(Z_2^2\)
0 0 0 2
0 1 1 0
8 \( A_1+A_2+A_3 \) \(Z_2\)
0 0 2
9 \( A_2+A_4 \) \(Z_1\)
0 0
10 \( A_1+A_5 \) \(Z_2\)
1 3
11 \( A_6 \) \(Z_1\)
0
12 \( 2 A_1+A_2+C_2 \) \(Z_2\)
1 1 0 0
13 \( A_1+A_3+C_2 \) \(Z_2\)
0 2 0
14 \( A_4+C_2 \) \(Z_1\)
0 0
15 \( 3 A_1+C_3 \) \(Z_2\)
0 1 1 0
16 \( A_1+A_2+C_3 \) \(Z_1\)
0 0 0
17 \( A_3+C_3 \) \(Z_1\)
0 0
18 \( A_3+C_3 \) \(Z_2\)
2 0
19 \( A_2+C_4 \) \(Z_1\)
0 0
20 \( A_1+C_5 \) \(Z_1\)
0 0
21 \( C_6 \) \(Z_1\)
0
22 \( A_2+D_4 \) \(Z_2\)
0 v
23 \( C_2+D_4 \) \(Z_2\)
0 v
24 \( A_1+D_5 \) \(Z_2\)
0 2
25 \( E_6 \) \(Z_1\)
0
26 \( 5 A_1+A_1^2 \) \(Z_2^2\)
0 0 0 1 1 0
0 1 1 0 0 0
27 \( 3 A_1+A_2+A_1^2 \) \(Z_2\)
0 1 1 0 0
28 \( A_1+2 A_2+A_1^2 \) \(Z_1\)
0 0 0 0
29 \( 2 A_1+A_3+A_1^2 \) \(Z_4\)
0 0 1 1
30 \( 2 A_1+A_3+A_1^2 \) \(Z_4\)
1 1 1 1
31 \( 2 A_1+A_3+A_1^2 \) \(Z_2 Z_4\)
1 1 0 0
0 0 1 1
32 \( A_2+A_3+A_1^2 \) \(Z_4\)
0 1 1
33 \( A_1+A_4+A_1^2 \) \(Z_1\)
0 0 0
34 \( A_5+A_1^2 \) \(Z_1\)
0 0
35 \( A_1+D_4+A_1^2 \) \(Z_2\)
0 v 0
36 \( D_5+A_1^2 \) \(Z_1\)
0 0
37 \( D_5+A_1^2 \) \(Z_2\)
2 0
38 \( 3 A_1+A_2+A_1^4 \) \(Z_2\)
0 1 1 0 0
39 \( A_1+2 A_2+A_1^4 \) \(Z_1\)
0 0 0 0
40 \( 2 A_1+A_3+A_1^4 \) \(Z_2\)
0 0 2 0
41 \( 2 A_1+A_3+A_1^4 \) \(Z_2\)
1 1 2 0
42 \( A_2+A_3+A_1^4 \) \(Z_1\)
0 0 0
43 \( A_2+A_3+A_1^4 \) \(Z_2\)
0 2 0
44 \( A_1+A_4+A_1^4 \) \(Z_1\)
0 0 0
45 \( A_5+A_1^4 \) \(Z_1\)
0 0
46 \( 3 A_1+C_2+A_1^4 \) \(Z_2\)
0 1 1 0 0
47 \( A_1+A_2+C_2+A_1^4 \) \(Z_1\)
0 0 0 0
48 \( A_3+C_2+A_1^4 \) \(Z_1\)
0 0 0
49 \( A_3+C_2+A_1^4 \) \(Z_2\)
2 0 0
50 \( 2 A_1+C_3+A_1^4 \) \(Z_1\)
0 0 0 0
51 \( 2 A_1+C_3+A_1^4 \) \(Z_2\)
1 1 0 0
52 \( A_2+C_3+A_1^4 \) \(Z_1\)
0 0 0
53 \( A_1+C_4+A_1^4 \) \(Z_1\)
0 0 0
54 \( C_5+A_1^4 \) \(Z_1\)
0 0
55 \( A_1+D_4+A_1^4 \) \(Z_2\)
0 v 0
56 \( D_5+A_1^4 \) \(Z_1\)
0 0
57 \( D_5+A_1^4 \) \(Z_2\)
2 0
58 \( 4 A_1+A_1^2+A_1^4 \) \(Z_2\)
0 0 1 1 0 0
59 \( 2 A_1+A_2+A_1^2+A_1^4 \) \(Z_1\)
0 0 0 0 0
60 \( 2 A_1+A_2+A_1^2+A_1^4 \) \(Z_2\)
1 1 0 0 0
61 \( 2 A_2+A_1^2+A_1^4 \) \(Z_1\)
0 0 0 0
62 \( A_1+A_3+A_1^2+A_1^4 \) \(Z_1\)
0 0 0 0
63 \( A_1+A_3+A_1^2+A_1^4 \) \(Z_2\)
0 2 0 0
64 \( A_4+A_1^2+A_1^4 \) \(Z_1\)
0 0 0
65 \( D_4+A_1^2+A_1^4 \) \(Z_1\)
0 0 0
66 \( D_4+A_1^2+A_1^4 \) \(Z_2\)
v 0 0
67 \( 4 A_1+2 A_1^4 \) \(Z_2\)
0 0 1 1 0 0
68 \( 4 A_1+2 A_1^4 \) \(Z_2\)
1 1 1 1 0 0
69 \( 2 A_1+A_2+2 A_1^4 \) \(Z_1\)
0 0 0 0 0
70 \( 2 A_1+A_2+2 A_1^4 \) \(Z_2\)
1 1 0 0 0
71 \( 2 A_2+2 A_1^4 \) \(Z_1\)
0 0 0 0
72 \( A_1+A_3+2 A_1^4 \) \(Z_1\)
0 0 0 0
73 \( A_1+A_3+2 A_1^4 \) \(Z_2\)
0 2 0 0
74 \( A_1+A_3+2 A_1^4 \) \(Z_4\)
1 1 1 1
75 \( A_4+2 A_1^4 \) \(Z_1\)
0 0 0
76 \( 2 A_1+C_2+2 A_1^4 \) \(Z_1\)
0 0 0 0 0
77 \( 2 A_1+C_2+2 A_1^4 \) \(Z_2\)
1 1 0 0 0
78 \( A_2+C_2+2 A_1^4 \) \(Z_1\)
0 0 0 0
79 \( A_1+C_3+2 A_1^4 \) \(Z_1\)
0 0 0 0
80 \( A_1+C_3+2 A_1^4 \) \(Z_2\)
0 1 1 1
81 \( C_4+2 A_1^4 \) \(Z_1\)
0 0 0
82 \( D_4+2 A_1^4 \) \(Z_1\)
0 0 0
83 \( D_4+2 A_1^4 \) \(Z_2\)
v 0 0
84 \( 3 A_1+A_1^2+2 A_1^4 \) \(Z_2\)
0 0 1 1 1 1
85 \( 3 A_1+A_1^2+2 A_1^4 \) \(Z_2\)
0 1 1 0 0 0
86 \( 3 A_1+A_1^2+2 A_1^4 \) \(Z_2\)
1 1 1 1 1 1
87 \( 3 A_1+A_1^2+2 A_1^4 \) \(Z_2^2\)
0 1 1 0 0 0
1 0 0 1 1 1
88 \( A_1+A_2+A_1^2+2 A_1^4 \) \(Z_1\)
0 0 0 0 0
89 \( A_1+A_2+A_1^2+2 A_1^4 \) \(Z_2\)
1 0 1 1 1
90 \( A_3+A_1^2+2 A_1^4 \) \(Z_1\)
0 0 0 0
91 \( A_3+A_1^2+2 A_1^4 \) \(Z_2\)
2 0 0 0
92 \( 3 A_1+3 A_1^4 \) \(Z_1\)
0 0 0 0 0 0
93 \( A_1+A_2+3 A_1^4 \) \(Z_1\)
0 0 0 0 0
94 \( A_3+3 A_1^4 \) \(Z_1\)
0 0 0 0
95 \( 2 A_1+A_2+A_2^4 \) \(Z_1\)
0 0 0 0
96 \( 2 A_2+A_2^4 \) \(Z_1\)
0 0 0
97 \( 2 A_2+A_2^4 \) \(Z_3\)
1 1 1
98 \( A_1+A_3+A_2^4 \) \(Z_1\)
0 0 0
99 \( A_4+A_2^4 \) \(Z_1\)
0 0
100 \( 2 A_1+C_2+A_2^4 \) \(Z_1\)
0 0 0 0
101 \( A_2+C_2+A_2^4 \) \(Z_1\)
0 0 0
102 \( A_1+C_3+A_2^4 \) \(Z_1\)
0 0 0
103 \( C_4+A_2^4 \) \(Z_1\)
0 0
104 \( D_4+A_2^4 \) \(Z_1\)
0 0
105 \( 3 A_1+A_1^2+A_2^4 \) \(Z_1\)
0 0 0 0 0
106 \( A_1+A_2+A_1^2+A_2^4 \) \(Z_1\)
0 0 0 0
107 \( A_3+A_1^2+A_2^4 \) \(Z_1\)
0 0 0
108 \( 3 A_1+A_1^4+A_2^4 \) \(Z_1\)
0 0 0 0 0
109 \( A_1+A_2+A_1^4+A_2^4 \) \(Z_1\)
0 0 0 0
110 \( A_3+A_1^4+A_2^4 \) \(Z_1\)
0 0 0
111 \( 3 A_1+A_3^4 \) \(Z_1\)
0 0 0 0
112 \( A_1+A_2+A_3^4 \) \(Z_1\)
0 0 0
113 \( A_3+A_3^4 \) \(Z_1\)
0 0
114 \( A_1+C_2+A_3^4 \) \(Z_1\)
0 0 0
115 \( C_3+A_3^4 \) \(Z_1\)
0 0
116 \( 2 A_1+A_1^2+A_3^4 \) \(Z_1\)
0 0 0 0
117 \( A_2+A_1^2+A_3^4 \) \(Z_1\)
0 0 0
118 \( 2 A_1+A_2+C_2^2 \) \(Z_1\)
0 0 0 0
119 \( 2 A_2+C_2^2 \) \(Z_1\)
0 0 0
120 \( A_1+A_3+C_2^2 \) \(Z_1\)
0 0 0
121 \( A_4+C_2^2 \) \(Z_1\)
0 0
122 \( D_4+C_2^2 \) \(Z_1\)
0 0
123 \( 3 A_1+A_1^4+C_2^2 \) \(Z_1\)
0 0 0 0 0
124 \( A_1+A_2+A_1^4+C_2^2 \) \(Z_1\)
0 0 0 0
125 \( A_3+A_1^4+C_2^2 \) \(Z_1\)
0 0 0
126 \( 2 A_1+A_2^4+C_2^2 \) \(Z_1\)
0 0 0 0
127 \( A_2+A_2^4+C_2^2 \) \(Z_1\)
0 0 0