#	Algebra (L)	Fundamental group (H)	Generators of H (k)
1	\( 4 A_1 \)	\(Z_2\)	1 1 1 1
2	\( 2 A_2 \)	\(Z_3\)	1 1
3	\( 2 A_1+A_2 \)	\(Z_1\)	0 0 0
4	\( A_1+A_3 \)	\(Z_1\)	0 0
5	\( A_4 \)	\(Z_1\)	0
6	\( 2 A_1+C_2 \)	\(Z_1\)	0 0 0
7	\( A_2+C_2 \)	\(Z_1\)	0 0
8	\( A_1+C_3 \)	\(Z_1\)	0 0
9	\( C_4 \)	\(Z_1\)	0
10	\( 2 A_1+G_2 \)	\(Z_1\)	0 0 0
11	\( A_2+G_2 \)	\(Z_1\)	0 0
12	\( C_2+G_2 \)	\(Z_1\)	0 0
13	\( 3 A_1+A_1^2 \)	\(Z_1\)	0 0 0 0
14	\( A_1+A_2+A_1^2 \)	\(Z_1\)	0 0 0
15	\( A_3+A_1^2 \)	\(Z_1\)	0 0
16	\( A_1+G_2+A_1^2 \)	\(Z_1\)	0 0 0
17	\( 3 A_1+A_1^3 \)	\(Z_2\)	0 0 1 1
18	\( 3 A_1+A_1^3 \)	\(Z_2\)	1 1 1 1
19	\( A_1+A_2+A_1^3 \)	\(Z_1\)	0 0 0
20	\( A_1+A_2+A_1^3 \)	\(Z_2\)	1 0 1
21	\( A_3+A_1^3 \)	\(Z_1\)	0 0
22	\( A_1+C_2+A_1^3 \)	\(Z_1\)	0 0 0
23	\( A_1+C_2+A_1^3 \)	\(Z_2\)	0 1 1
24	\( C_3+A_1^3 \)	\(Z_1\)	0 0
25	\( 2 A_1+A_1^2+A_1^3 \)	\(Z_1\)	0 0 0 0
26	\( A_2+A_1^2+A_1^3 \)	\(Z_1\)	0 0 0
27	\( 3 A_1+A_1^6 \)	\(Z_1\)	0 0 0 0
28	\( A_1+A_2+A_1^6 \)	\(Z_1\)	0 0 0
29	\( A_3+A_1^6 \)	\(Z_1\)	0 0
30	\( A_1+C_2+A_1^6 \)	\(Z_1\)	0 0 0
31	\( C_3+A_1^6 \)	\(Z_1\)	0 0
32	\( A_1+G_2+A_1^6 \)	\(Z_1\)	0 0 0
33	\( 2 A_1+A_1^2+A_1^6 \)	\(Z_1\)	0 0 0 0
34	\( 2 A_1+A_1^2+A_1^6 \)	\(Z_2\)	1 1 1 1
35	\( A_2+A_1^2+A_1^6 \)	\(Z_1\)	0 0 0
36	\( G_2+A_1^2+A_1^6 \)	\(Z_1\)	0 0 0
37	\( 2 A_1+A_1^3+A_1^6 \)	\(Z_1\)	0 0 0 0
38	\( A_2+A_1^3+A_1^6 \)	\(Z_1\)	0 0 0
39	\( C_2+A_1^3+A_1^6 \)	\(Z_1\)	0 0 0
40	\( A_1+A_1^2+A_1^3+A_1^6 \)	\(Z_1\)	0 0 0 0