# |
Algebra (L) |
Fundamental group (H) |
Generators of H (k) |
1 |
\( 4 A_2 \) |
\(Z_3^3\) |
|
2 |
\( 4 A_1+2 A_2 \) |
\(Z_3\) |
|
3 |
\( 2 A_1+3 A_2 \) |
\(Z_3^2\) |
|
4 |
\( 4 A_1+A_4 \) |
\(Z_1\) |
|
5 |
\( 3 A_1+A_5 \) |
\(Z_3\) |
|
6 |
\( A_3+A_5 \) |
\(Z_3\) |
|
7 |
\( A_8 \) |
\(Z_3\) |
|
8 |
\( 2 A_2+D_4 \) |
\(Z_3\) |
|
9 |
\( A_1+A_3+D_4 \) |
\(Z_1\) |
|
10 |
\( A_4+D_4 \) |
\(Z_1\) |
|
11 |
\( 3 A_1+D_5 \) |
\(Z_1\) |
|
12 |
\( A_1+D_7 \) |
\(Z_1\) |
|
13 |
\( 4 A_1+A_2+G_2 \) |
\(Z_1\) |
|
14 |
\( 2 A_1+2 A_2+G_2 \) |
\(Z_3\) |
|
15 |
\( 3 A_1+A_3+G_2 \) |
\(Z_1\) |
|
16 |
\( 2 A_3+G_2 \) |
\(Z_1\) |
|
17 |
\( 2 A_1+A_4+G_2 \) |
\(Z_1\) |
|
18 |
\( A_1+A_5+G_2 \) |
\(Z_3\) |
|
19 |
\( A_6+G_2 \) |
\(Z_1\) |
|
20 |
\( 2 A_1+D_4+G_2 \) |
\(Z_1\) |
|
21 |
\( A_2+D_4+G_2 \) |
\(Z_1\) |
|
22 |
\( A_1+D_5+G_2 \) |
\(Z_1\) |
|
23 |
\( D_6+G_2 \) |
\(Z_1\) |
|
24 |
\( 4 A_1+2 G_2 \) |
\(Z_1\) |
|
25 |
\( 2 A_1+A_2+2 G_2 \) |
\(Z_1\) |
|
26 |
\( 2 A_2+2 G_2 \) |
\(Z_3\) |
|
27 |
\( A_1+A_3+2 G_2 \) |
\(Z_1\) |
|
28 |
\( A_4+2 G_2 \) |
\(Z_1\) |
|
29 |
\( D_4+2 G_2 \) |
\(Z_1\) |
|
30 |
\( 2 A_1+3 G_2 \) |
\(Z_1\) |
|
31 |
\( A_2+3 G_2 \) |
\(Z_1\) |
|
32 |
\( 2 A_1+E_6 \) |
\(Z_3\) |
|
33 |
\( G_2+E_6 \) |
\(Z_3\) |
|
34 |
\( 3 A_1+2 A_2+A_1^3 \) |
\(Z_3\) |
|
35 |
\( 4 A_1+A_3+A_1^3 \) |
\(Z_2\) |
|
36 |
\( 2 A_2+A_3+A_1^3 \) |
\(Z_3\) |
|
37 |
\( A_1+2 A_3+A_1^3 \) |
\(Z_1\) |
|
38 |
\( A_1+2 A_3+A_1^3 \) |
\(Z_2\) |
|
39 |
\( 3 A_1+A_4+A_1^3 \) |
\(Z_1\) |
|
40 |
\( A_3+A_4+A_1^3 \) |
\(Z_1\) |
|
41 |
\( 2 A_1+A_5+A_1^3 \) |
\(Z_3\) |
|
42 |
\( 2 A_1+A_5+A_1^3 \) |
\(Z_6\) |
|
43 |
\( A_2+A_5+A_1^3 \) |
\(Z_3\) |
|
44 |
\( A_2+A_5+A_1^3 \) |
\(Z_3\) |
|
45 |
\( A_1+A_6+A_1^3 \) |
\(Z_1\) |
|
46 |
\( A_7+A_1^3 \) |
\(Z_1\) |
|
47 |
\( 3 A_1+D_4+A_1^3 \) |
\(Z_2\) |
|
48 |
\( A_1+A_2+D_4+A_1^3 \) |
\(Z_1\) |
|
49 |
\( A_3+D_4+A_1^3 \) |
\(Z_1\) |
|
50 |
\( 2 A_1+D_5+A_1^3 \) |
\(Z_1\) |
|
51 |
\( A_1+D_6+A_1^3 \) |
\(Z_1\) |
|
52 |
\( D_7+A_1^3 \) |
\(Z_1\) |
|
53 |
\( 3 A_1+A_2+G_2+A_1^3 \) |
\(Z_1\) |
|
54 |
\( A_1+2 A_2+G_2+A_1^3 \) |
\(Z_3\) |
|
55 |
\( 2 A_1+A_3+G_2+A_1^3 \) |
\(Z_1\) |
|
56 |
\( A_2+A_3+G_2+A_1^3 \) |
\(Z_1\) |
|
57 |
\( A_1+A_4+G_2+A_1^3 \) |
\(Z_1\) |
|
58 |
\( A_5+G_2+A_1^3 \) |
\(Z_1\) |
|
59 |
\( A_5+G_2+A_1^3 \) |
\(Z_3\) |
|
60 |
\( A_1+D_4+G_2+A_1^3 \) |
\(Z_1\) |
|
61 |
\( D_5+G_2+A_1^3 \) |
\(Z_1\) |
|
62 |
\( 3 A_1+2 G_2+A_1^3 \) |
\(Z_1\) |
|
63 |
\( A_1+A_2+2 G_2+A_1^3 \) |
\(Z_1\) |
|
64 |
\( A_3+2 G_2+A_1^3 \) |
\(Z_1\) |
|
65 |
\( A_1+E_6+A_1^3 \) |
\(Z_3\) |
|
66 |
\( E_7+A_1^3 \) |
\(Z_1\) |
|
67 |
\( 6 A_1+2 A_1^3 \) |
\(Z_2^2\) |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
|
68 |
\( 4 A_1+A_2+2 A_1^3 \) |
\(Z_2\) |
|
69 |
\( 2 A_1+2 A_2+2 A_1^3 \) |
\(Z_3\) |
|
70 |
\( 2 A_1+2 A_2+2 A_1^3 \) |
\(Z_6\) |
|
71 |
\( 3 A_2+2 A_1^3 \) |
\(Z_3\) |
|
72 |
\( 3 A_2+2 A_1^3 \) |
\(Z_3\) |
|
73 |
\( 3 A_1+A_3+2 A_1^3 \) |
\(Z_2\) |
|
74 |
\( 3 A_1+A_3+2 A_1^3 \) |
\(Z_2\) |
|
75 |
\( 3 A_1+A_3+2 A_1^3 \) |
\(Z_2\) |
|
76 |
\( A_1+A_2+A_3+2 A_1^3 \) |
\(Z_1\) |
|
77 |
\( A_1+A_2+A_3+2 A_1^3 \) |
\(Z_2\) |
|
78 |
\( 2 A_3+2 A_1^3 \) |
\(Z_1\) |
|
79 |
\( 2 A_3+2 A_1^3 \) |
\(Z_2\) |
|
80 |
\( 2 A_1+A_4+2 A_1^3 \) |
\(Z_1\) |
|
81 |
\( 2 A_1+A_4+2 A_1^3 \) |
\(Z_2\) |
|
82 |
\( A_2+A_4+2 A_1^3 \) |
\(Z_1\) |
|
83 |
\( A_1+A_5+2 A_1^3 \) |
\(Z_1\) |
|
84 |
\( A_1+A_5+2 A_1^3 \) |
\(Z_3\) |
|
85 |
\( A_6+2 A_1^3 \) |
\(Z_1\) |
|
86 |
\( 2 A_1+D_4+2 A_1^3 \) |
\(Z_2\) |
|
87 |
\( A_2+D_4+2 A_1^3 \) |
\(Z_1\) |
|
88 |
\( A_2+D_4+2 A_1^3 \) |
\(Z_2\) |
|
89 |
\( A_1+D_5+2 A_1^3 \) |
\(Z_1\) |
|
90 |
\( A_1+D_5+2 A_1^3 \) |
\(Z_2\) |
|
91 |
\( D_6+2 A_1^3 \) |
\(Z_1\) |
|
92 |
\( D_6+2 A_1^3 \) |
\(Z_2\) |
|
93 |
\( 4 A_1+G_2+2 A_1^3 \) |
\(Z_2\) |
|
94 |
\( 2 A_1+A_2+G_2+2 A_1^3 \) |
\(Z_1\) |
|
95 |
\( 2 A_1+A_2+G_2+2 A_1^3 \) |
\(Z_2\) |
|
96 |
\( 2 A_2+G_2+2 A_1^3 \) |
\(Z_1\) |
|
97 |
\( 2 A_2+G_2+2 A_1^3 \) |
\(Z_3\) |
|
98 |
\( A_1+A_3+G_2+2 A_1^3 \) |
\(Z_1\) |
|
99 |
\( A_1+A_3+G_2+2 A_1^3 \) |
\(Z_2\) |
|
100 |
\( A_4+G_2+2 A_1^3 \) |
\(Z_1\) |
|
101 |
\( D_4+G_2+2 A_1^3 \) |
\(Z_1\) |
|
102 |
\( D_4+G_2+2 A_1^3 \) |
\(Z_2\) |
|
103 |
\( E_6+2 A_1^3 \) |
\(Z_1\) |
|
104 |
\( E_6+2 A_1^3 \) |
\(Z_3\) |
|
105 |
\( 5 A_1+3 A_1^3 \) |
\(Z_2^2\) |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
|
106 |
\( 5 A_1+3 A_1^3 \) |
\(Z_2^2\) |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
|
107 |
\( 3 A_1+A_2+3 A_1^3 \) |
\(Z_2\) |
|
108 |
\( 3 A_1+A_2+3 A_1^3 \) |
\(Z_2\) |
|
109 |
\( 3 A_1+A_2+3 A_1^3 \) |
\(Z_2^2\) |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
|
110 |
\( A_1+2 A_2+3 A_1^3 \) |
\(Z_1\) |
|
111 |
\( A_1+2 A_2+3 A_1^3 \) |
\(Z_3\) |
|
112 |
\( 2 A_1+A_3+3 A_1^3 \) |
\(Z_2\) |
|
113 |
\( 2 A_1+A_3+3 A_1^3 \) |
\(Z_2\) |
|
114 |
\( 2 A_1+A_3+3 A_1^3 \) |
\(Z_2\) |
|
115 |
\( A_2+A_3+3 A_1^3 \) |
\(Z_1\) |
|
116 |
\( A_2+A_3+3 A_1^3 \) |
\(Z_2\) |
|
117 |
\( A_1+A_4+3 A_1^3 \) |
\(Z_1\) |
|
118 |
\( A_5+3 A_1^3 \) |
\(Z_1\) |
|
119 |
\( A_5+3 A_1^3 \) |
\(Z_2\) |
|
120 |
\( A_5+3 A_1^3 \) |
\(Z_3\) |
|
121 |
\( A_5+3 A_1^3 \) |
\(Z_6\) |
|
122 |
\( A_1+D_4+3 A_1^3 \) |
\(Z_2\) |
|
123 |
\( A_1+D_4+3 A_1^3 \) |
\(Z_2\) |
|
124 |
\( A_1+D_4+3 A_1^3 \) |
\(Z_2^2\) |
|
125 |
\( D_5+3 A_1^3 \) |
\(Z_1\) |
|
126 |
\( D_5+3 A_1^3 \) |
\(Z_2\) |
|
127 |
\( 4 A_1+A_2+A_2^3 \) |
\(Z_1\) |
|
128 |
\( 3 A_2+A_2^3 \) |
\(Z_3\) |
|
129 |
\( 3 A_1+A_3+A_2^3 \) |
\(Z_1\) |
|
130 |
\( A_1+A_2+A_3+A_2^3 \) |
\(Z_1\) |
|
131 |
\( 2 A_3+A_2^3 \) |
\(Z_1\) |
|
132 |
\( 2 A_1+A_4+A_2^3 \) |
\(Z_1\) |
|
133 |
\( A_2+A_4+A_2^3 \) |
\(Z_1\) |
|
134 |
\( A_1+A_5+A_2^3 \) |
\(Z_1\) |
|
135 |
\( A_6+A_2^3 \) |
\(Z_1\) |
|
136 |
\( 2 A_1+D_4+A_2^3 \) |
\(Z_1\) |
|
137 |
\( A_2+D_4+A_2^3 \) |
\(Z_1\) |
|
138 |
\( A_1+D_5+A_2^3 \) |
\(Z_1\) |
|
139 |
\( D_6+A_2^3 \) |
\(Z_1\) |
|
140 |
\( 4 A_1+G_2+A_2^3 \) |
\(Z_1\) |
|
141 |
\( 2 A_1+A_2+G_2+A_2^3 \) |
\(Z_1\) |
|
142 |
\( 2 A_2+G_2+A_2^3 \) |
\(Z_1\) |
|
143 |
\( A_1+A_3+G_2+A_2^3 \) |
\(Z_1\) |
|
144 |
\( A_4+G_2+A_2^3 \) |
\(Z_1\) |
|
145 |
\( D_4+G_2+A_2^3 \) |
\(Z_1\) |
|
146 |
\( E_6+A_2^3 \) |
\(Z_1\) |
|
147 |
\( 3 A_1+A_2+A_1^3+A_2^3 \) |
\(Z_1\) |
|
148 |
\( A_1+2 A_2+A_1^3+A_2^3 \) |
\(Z_1\) |
|
149 |
\( 2 A_1+A_3+A_1^3+A_2^3 \) |
\(Z_1\) |
|
150 |
\( A_2+A_3+A_1^3+A_2^3 \) |
\(Z_1\) |
|
151 |
\( A_1+A_4+A_1^3+A_2^3 \) |
\(Z_1\) |
|
152 |
\( A_5+A_1^3+A_2^3 \) |
\(Z_1\) |
|
153 |
\( A_1+D_4+A_1^3+A_2^3 \) |
\(Z_1\) |
|
154 |
\( D_5+A_1^3+A_2^3 \) |
\(Z_1\) |
|
155 |
\( 4 A_1+2 A_2^3 \) |
\(Z_1\) |
|
156 |
\( 2 A_1+A_2+2 A_2^3 \) |
\(Z_1\) |
|
157 |
\( 2 A_2+2 A_2^3 \) |
\(Z_1\) |
|
158 |
\( A_1+A_3+2 A_2^3 \) |
\(Z_1\) |
|
159 |
\( A_4+2 A_2^3 \) |
\(Z_1\) |
|
160 |
\( D_4+2 A_2^3 \) |
\(Z_1\) |
|
161 |
\( 5 A_1+A_3^3 \) |
\(Z_2\) |
|
162 |
\( 3 A_1+A_2+A_3^3 \) |
\(Z_1\) |
|
163 |
\( 3 A_1+A_2+A_3^3 \) |
\(Z_2\) |
|
164 |
\( A_1+2 A_2+A_3^3 \) |
\(Z_1\) |
|
165 |
\( 2 A_1+A_3+A_3^3 \) |
\(Z_1\) |
|
166 |
\( 2 A_1+A_3+A_3^3 \) |
\(Z_2\) |
|
167 |
\( 2 A_1+A_3+A_3^3 \) |
\(Z_2\) |
|
168 |
\( 2 A_1+A_3+A_3^3 \) |
\(Z_4\) |
|
169 |
\( A_2+A_3+A_3^3 \) |
\(Z_1\) |
|
170 |
\( A_2+A_3+A_3^3 \) |
\(Z_2\) |
|
171 |
\( A_1+A_4+A_3^3 \) |
\(Z_1\) |
|
172 |
\( A_5+A_3^3 \) |
\(Z_1\) |
|
173 |
\( A_1+D_4+A_3^3 \) |
\(Z_1\) |
|
174 |
\( A_1+D_4+A_3^3 \) |
\(Z_2\) |
|
175 |
\( D_5+A_3^3 \) |
\(Z_1\) |
|
176 |
\( D_5+A_3^3 \) |
\(Z_2\) |
|
177 |
\( 3 A_1+G_2+A_3^3 \) |
\(Z_1\) |
|
178 |
\( 3 A_1+G_2+A_3^3 \) |
\(Z_2\) |
|
179 |
\( A_1+A_2+G_2+A_3^3 \) |
\(Z_1\) |
|
180 |
\( A_3+G_2+A_3^3 \) |
\(Z_1\) |
|
181 |
\( A_3+G_2+A_3^3 \) |
\(Z_2\) |
|
182 |
\( 4 A_1+A_1^3+A_3^3 \) |
\(Z_2\) |
|
183 |
\( 4 A_1+A_1^3+A_3^3 \) |
\(Z_2\) |
|
184 |
\( 2 A_1+A_2+A_1^3+A_3^3 \) |
\(Z_1\) |
|
185 |
\( 2 A_1+A_2+A_1^3+A_3^3 \) |
\(Z_2\) |
|
186 |
\( 2 A_2+A_1^3+A_3^3 \) |
\(Z_1\) |
|
187 |
\( A_1+A_3+A_1^3+A_3^3 \) |
\(Z_1\) |
|
188 |
\( A_1+A_3+A_1^3+A_3^3 \) |
\(Z_2\) |
|
189 |
\( A_1+A_3+A_1^3+A_3^3 \) |
\(Z_2\) |
|
190 |
\( A_4+A_1^3+A_3^3 \) |
\(Z_1\) |
|
191 |
\( D_4+A_1^3+A_3^3 \) |
\(Z_1\) |
|
192 |
\( D_4+A_1^3+A_3^3 \) |
\(Z_2\) |
|
193 |
\( 4 A_1+A_4^3 \) |
\(Z_1\) |
|
194 |
\( 2 A_1+A_2+A_4^3 \) |
\(Z_1\) |
|
195 |
\( 2 A_2+A_4^3 \) |
\(Z_1\) |
|
196 |
\( A_1+A_3+A_4^3 \) |
\(Z_1\) |
|
197 |
\( A_4+A_4^3 \) |
\(Z_1\) |
|
198 |
\( D_4+A_4^3 \) |
\(Z_1\) |
|
199 |
\( 3 A_1+A_5^3 \) |
\(Z_1\) |
|
200 |
\( 3 A_1+A_5^3 \) |
\(Z_2\) |
|
201 |
\( A_1+A_2+A_5^3 \) |
\(Z_1\) |
|
202 |
\( A_3+A_5^3 \) |
\(Z_1\) |
|