#	Algebra (L)	Fundamental group (H)	Generators of H (k)
1	\( 3 A_1+2 A_2 \)	\(Z_3\)	0 0 0 1 2
2	\( 2 A_2+A_3 \)	\(Z_3\)	1 1 0
3	\( A_1+2 A_3 \)	\(1\)
4	\( 3 A_1+A_4 \)	\(1\)
5	\( A_3+A_4 \)	\(1\)
6	\( 2 A_1+A_5 \)	\(Z_3\)	0 0 2
7	\( A_2+A_5 \)	\(Z_3\)	0 2
8	\( A_1+A_6 \)	\(1\)
9	\( A_7 \)	\(1\)
10	\( A_1+A_2+D_4 \)	\(1\)
11	\( A_3+D_4 \)	\(1\)
12	\( 2 A_1+D_5 \)	\(1\)
13	\( A_1+D_6 \)	\(1\)
14	\( D_7 \)	\(1\)
15	\( 3 A_1+A_2+G_2 \)	\(1\)
16	\( 2 A_1+A_3+G_2 \)	\(1\)
17	\( A_2+A_3+G_2 \)	\(1\)
18	\( A_1+A_4+G_2 \)	\(1\)
19	\( A_5+G_2 \)	\(1\)
20	\( A_1+D_4+G_2 \)	\(1\)
21	\( D_5+G_2 \)	\(1\)
22	\( 3 A_1+2 G_2 \)	\(1\)
23	\( A_1+A_2+2 G_2 \)	\(1\)
24	\( A_3+2 G_2 \)	\(1\)
25	\( A_1+E_6 \)	\(Z_3\)	0 1
26	\( E_7 \)	\(1\)
27	\( 3 A_1+A_3+A_1^3 \)	\(Z_2\)	1 1 1 2 1
28	\( A_1+A_2+A_3+A_1^3 \)	\(1\)
29	\( 2 A_3+A_1^3 \)	\(1\)
30	\( 2 A_1+A_4+A_1^3 \)	\(1\)
31	\( A_2+A_4+A_1^3 \)	\(1\)
32	\( A_1+A_5+A_1^3 \)	\(1\)
33	\( A_6+A_1^3 \)	\(1\)
34	\( A_2+D_4+A_1^3 \)	\(1\)
35	\( A_1+D_5+A_1^3 \)	\(1\)
36	\( D_6+A_1^3 \)	\(1\)
37	\( 2 A_1+A_2+G_2+A_1^3 \)	\(1\)
38	\( 2 A_2+G_2+A_1^3 \)	\(1\)
39	\( A_1+A_3+G_2+A_1^3 \)	\(1\)
40	\( A_4+G_2+A_1^3 \)	\(1\)
41	\( D_4+G_2+A_1^3 \)	\(1\)
42	\( E_6+A_1^3 \)	\(1\)
43	\( 3 A_1+A_2+2 A_1^3 \)	\(Z_2\)	0 1 1 0 1 1
44	\( A_1+2 A_2+2 A_1^3 \)	\(1\)
45	\( 2 A_1+A_3+2 A_1^3 \)	\(Z_2\)	0 0 2 1 1
46	\( A_2+A_3+2 A_1^3 \)	\(1\)
47	\( A_2+A_3+2 A_1^3 \)	\(Z_2\)	0 2 1 1
48	\( A_1+A_4+2 A_1^3 \)	\(1\)
49	\( A_5+2 A_1^3 \)	\(1\)
50	\( A_1+D_4+2 A_1^3 \)	\(Z_2\)	0 s 1 1
51	\( D_5+2 A_1^3 \)	\(1\)
52	\( D_5+2 A_1^3 \)	\(Z_2\)	2 1 1