#	Algebra (L)	Fundamental group (H)	Generators of H (k)
1	\( 5 A_1 \)	\(Z_2^4\)	0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0
2	\( 5 A_1 \)	\(Z_2^4\)	0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1
3	\( 5 A_1^4 \)	\(Z_1\)	0 0 0 0 0
4	\( D_4+A_1^4 \)	\(Z_2^2\)	s 0 c 0
5	\( 3 A_1+2 A_1^4 \)	\(Z_2^2\)	0 1 1 0 0 1 0 1 0 0
6	\( A_3+2 A_1^4 \)	\(Z_2\)	2 0 0
7	\( 2 A_1+3 A_1^4 \)	\(Z_2\)	1 1 0 0 0
8	\( A_2+3 A_1^4 \)	\(Z_1\)	0 0 0 0
9	\( A_1+4 A_1^4 \)	\(Z_1\)	0 0 0 0 0