#	Algebra (L)	Fundamental group (H)	Generators of H (k)
1	\( 4 A_1 \)	\(Z_1\)	0 0 0 0
2	\( 2 A_2 \)	\(Z_3^2\)	0 1 1 0
3	\( 2 A_1+A_2 \)	\(Z_3\)	0 0 1
4	\( D_4 \)	\(Z_1\)	0
5	\( 2 G_2 \)	\(Z_1\)	0 0
6	\( 2 A_1+G_2 \)	\(Z_1\)	0 0 0
7	\( 4 A_1^3 \)	\(Z_1\)	0 0 0 0
8	\( 4 A_1^3 \)	\(Z_2\)	1 1 1 1
9	\( 3 A_1+A_1^3 \)	\(Z_1\)	0 0 0 0
10	\( A_3+A_1^3 \)	\(Z_1\)	0 0
11	\( A_1+G_2+A_1^3 \)	\(Z_1\)	0 0 0
12	\( 2 A_1+2 A_1^3 \)	\(Z_1\)	0 0 0 0
13	\( 2 A_1+2 A_1^3 \)	\(Z_2\)	1 1 1 1
14	\( A_2+2 A_1^3 \)	\(Z_1\)	0 0 0
15	\( G_2+2 A_1^3 \)	\(Z_1\)	0 0 0
16	\( A_1+3 A_1^3 \)	\(Z_1\)	0 0 0 0