# k	base group	blocks (see make_cert.py docstring)
9	SL(2,5)	
10	A5xC2	
12	A5xC3	
13	A5xC4	
14	PSL(2,7)xC3	
15	SL(2,13)	
16	A5xC8	
17	A5xC6	
18	2^4:A5(perm)	
19	A5xC25	
20	A5xC2	B0:7
21	A5xC15	
22	A5xC12	
23	SL(2,29)	
24	A5xC3	B0:7
25	SL(2,167)	
26	A5xC4	B0:7
27	SL(2,5)	B0:49
28	A5	B0:343
29	SL(2,1213)	
30	A5xC2	B0:49
31	SL(2,113)	
32	A5xC8	B0:7
33	SL(2,1087)	
34	A5xC6	B0:7
35	A5	B0:2401
36	2^4:A5(perm)	B0:7
37	SL(2,1019)	
38	A5xC25	B0:7
39	A5xC4	B0:49
40	A5xC2	B0:343
41	SL(2,1667)	
42	A5	B0:16807
43	A5xC2	B1:29:1:7:7
44	A5xC12	B0:7
45	SL(2,5)	B0:2401
46	A5	B1:29:2:7:7
47	SL(2,1063)	
48	A5xC3	B0:343
49	A5	B0:117649
50	A5xC2	B0:2401
51	A5xC6	B0:49
52	A5xC4	B0:343
53	SL(2,1151)	
54	2^4:A5(perm)	B0:49
55	PSL(2,7)xC2	B1:23:1:11:11
56	A5	B0:823543
57	A5xC25	B0:49
58	A5	B1:29:1:343:7
59	PSL(2,7)xC3	B1:23:1:11:11
60	A5xC2	B0:16807
61	SL(2,1601)	
62	A5	B1:29:3:7:7
63	A5	B0:5764801
64	A5xC8	B0:343
65	A5xC4	B0:2401
66	A5xC12	B0:49
67	PGL(2,9)	B1:29:1:7:7
68	A5xC6	B0:343
69	A5xC5	B2:13:7:7
70	A5	B0:40353607
71	PSL(2,7)xC2	B2:43:11:11
72	2^4:A5(perm)	B0:343
73	A5xC4	B2:13:7:7
74	2^4:A5(perm)	B1:29:1:7:7
75	A5xC10	B1:29:1:7:7
76	A5xC25	B0:343
77	A5	B0:282475249
78	A5xC4	B0:16807
79	A5xC2	B2:97:49:49
80	A5xC2	B0:823543
81	SL(2,5)	B0:5764801
82	A5xC5	B1:29:2:7:7
83	A5xC2	B1:29:1:343:7
84	A5	B0:1977326743
85	A5xC6	B0:2401
86	A5xC2	B1:29:1:77:7
87	A5xC15	B1:29:1:7:7
88	A5xC12	B0:343
89	A5xC2	B1:29:3:7:7
90	2^4:A5(perm)	B0:2401
91	A5	B0:13841287201
92	A5	B1:29:2:77:7
93	A5xC12	B1:29:1:7:7
94	2^4:A5(perm)	B2:13:7:7
95	A5xC25	B0:2401
96	A5xC3	B0:823543
97	A5xC5	B2:97:49:49
98	A5	B0:96889010407
99	SL(2,5)	B0:282475249
100	A5xC2	B0:40353607
101	A5xC8	B1:29:1:49:7
102	A5xC6	B0:16807
103	A5	B2:1693:847:847
104	A5xC4	B0:823543
105	A5	B0:678223072849
106	A5xC8	B1:29:2:7:7
107	PSL(2,7)xC3	B2:241:121:121
108	2^4:A5(perm)	B0:16807
109	A5	B1:29:2:2401:7
110	A5xC12	B0:2401
111	A5xC15	B2:13:7:7
112	A5	B0:4747561509943
113	PSL(2,7)xC2	B1:23:3:11:11
114	A5xC25	B0:16807
115	PSL(2,7)xC3	B1:23:1:1331:11
116	A5xC4	B1:29:3:7:7
117	A5xC4	B0:5764801
118	A5xC25	B1:29:2:7:7
119	A5	B0:33232930569601
120	A5xC2	B0:1977326743
121	PSL(2,7)xC3	B1:23:3:11:11
122	A5	B1:463:1:9317:77
123	SL(2,5)	B1:29:5:7:7
124	A5	B1:29:3:77:7
125	A5xC4	B1:29:2:49:7
126	2^4:A5(perm)	B0:117649
127	A5xC8	B2:97:49:49
128	A5xC8	B0:823543
129	A5xC15	B1:29:1:49:7
130	A5xC2	B0:13841287201
131	A5xC6	B2:97:49:49
132	A5xC12	B0:16807
133	A5	B0:1628413597910449
134	PGL(2,9)	B1:29:1:77:7
135	SL(2,5)	B0:678223072849
136	A5xC6	B0:823543
137	PGL(2,9)	B1:29:3:7:7
138	A5xC5	B1:29:4:7:7
139	A5xC25	B2:97:49:49
140	A5	B0:11398895185373143
141	SL(2,5)	B1:29:2:2401:7
142	A5	B1:29:8:7:7
143	A5xC4	B0:282475249
144	2^4:A5(perm)	B0:823543
145	A5xC2	B2:97:2401:49
146	A5xC4	B1:29:4:7:7
147	A5	B0:79792266297612001
148	2^4:A5(perm)	B1:29:1:77:7
149	A5	B2:307:9317:77
150	A5xC2	B0:678223072849
151	A5	B2:35573:5929:5929
152	A5xC25	B0:823543
153	A5xC6	B0:5764801
154	A5	B0:558545864083284007
155	PSL(2,7)xC2	B2:43:1331:11
156	A5xC3	B0:13841287201
157	PSL(2,29)	B1:23:2:121:11
158	A5	B1:29:9:7:7
159	A5xC3	B1:29:5:7:7
160	A5xC2	B0:4747561509943
161	A5	B0:3909821048582988049
162	2^4:A5(perm)	B0:5764801
163	A5xC4	B2:4801:2401:2401
164	A5	B1:463:4:77:77
165	SL(2,5)	B1:29:7:7:7
166	A5xC5	B1:29:5:7:7
167	A5	B1:168071:2:117649:16807
168	A5	B0:27368747340080916343
169	A5xC4	B0:13841287201
170	A5xC2	B0:33232930569601
171	A5xC25	B0:5764801
172	A5xC2	B1:29:1:1001:7
173	PSL(2,13)	B1:23:4:121:11
174	A5	B1:29:10:7:7
175	A5	B0:191581231380566414401
176	A5xC12	B0:823543
177	A5xC15	B1:29:3:7:7
178	A5xC2	B1:29:3:77:7
179	A5xC25	B1:197:2:49:49
180	2^4:A5(perm)	B0:40353607
181	A5xC2	B1:29:7:7:7
182	A5	B0:1341068619663964900807
183	PSL(2,7)xC3	B1:23:5:11:11
184	A5	B1:29:2:1001:7
185	PSL(2,7)xC2	B1:23:1:1771561:11
186	A5xC12	B1:29:1:77:7
187	A5xC6	B0:282475249
188	2^4:A5(perm)	B1:29:4:7:7
189	A5	B0:9387480337647754305649
190	A5xC2	B0:1628413597910449
191	A5xC12	B1:29:3:7:7
192	A5xC3	B0:4747561509943
193	A5xC4	B2:1693:847:847
194	A5xC2	B2:4003:1001:1001
195	A5xC4	B0:678223072849
196	A5	B0:65712362363534280139543
197	PSL(2,7)xC2	B2:43:14641:11
198	2^4:A5(perm)	B0:282475249
199	A5	B1:1373:4:2401:343
200	A5xC2	B0:11398895185373143
201	A5	B1:29:2:5929:7
202	A5xC8	B1:29:2:343:7
203	A5	B0:459986536544739960976801
204	A5xC3	B0:33232930569601
205	A5	B1:29:8:49:7
206	A5	B1:29:12:7:7
207	SL(2,5)	B0:3909821048582988049
208	A5xC4	B0:4747561509943
209	A5xC25	B0:282475249
210	A5	B0:3219905755813179726837607
211	A5xC4	B1:29:4:49:7
212	A5xC8	B1:29:2:77:7
213	A5xC3	B1:29:7:7:7
214	PSL(2,7)xC3	B1:23:6:11:11
215	A5xC2	B1:29:1:102487:7
216	2^4:A5(perm)	B0:1977326743
217	A5	B0:22539340290692258087863249
218	A5xC12	B1:197:2:49:49
219	A5xC3	B1:463:3:77:77
220	A5xC12	B0:40353607
221	A5xC4	B0:33232930569601
222	A5	B1:29:13:7:7
223	PSL(2,7)xC2	B1:859:1:24167:143
224	A5	B0:157775382034845806615042743
225	SL(2,5)	B0:191581231380566414401
226	2^4:A5(perm)	B1:29:5:7:7
227	A5xC2	B1:29:9:7:7
228	A5xC25	B0:1977326743
229	PSL(2,7)xC2	B1:23:7:11:11
230	A5xC2	B0:3909821048582988049
231	A5	B0:1104427674243920646305299201
232	A5	B1:463:6:77:77
233	A5xC2	B1:29:1:7:7;B2:43:11:11
234	2^4:A5(perm)	B0:13841287201
235	PSL(2,7)xC2	B1:859:3:143:143
236	A5xC2	B1:463:4:77:77
237	A5xC5	B2:4003:1001:1001
238	A5	B0:7730993719707444524137094407
239	PSL(2,7)xC3	B1:859:1:24167:143
240	A5xC2	B0:27368747340080916343
241	A5xC6	B2:97:2401:49
242	A5xC12	B0:282475249
243	SL(2,5)	B0:9387480337647754305649
244	A5xC4	B1:463:3:77:77
245	A5	B0:54116956037952111668959660849
246	SL(2,5)	B1:29:5:77:7
247	A5xC25	B0:13841287201
248	A5	B1:29:3:1001:7
249	SL(2,5)	B1:29:11:7:7
250	A5xC2	B0:191581231380566414401
251	PSL(2,7)xC3	B1:859:3:143:143
252	2^4:A5(perm)	B0:96889010407
253	A5xC4	B2:4003:1001:1001
254	A5	B1:29:15:7:7
255	A5xC6	B0:678223072849
256	A5xC8	B0:4747561509943
257	A5	B1:29:6:2401:7
258	PSL(2,7)xC2	B1:23:8:11:11
259	A5	B0:2651730845859653471779023381601
260	A5xC2	B0:1341068619663964900807
261	SL(2,5)	B0:459986536544739960976801
262	A5xC6	B1:29:6:7:7
263	A5xC5	B2:307:9317:77
264	A5xC12	B0:1977326743
265	A5xC5	B2:35573:5929:5929
266	A5	B0:18562115921017574302453163671207
267	A5xC15	B1:29:5:7:7
268	PGL(2,9)	B1:29:1:1001:7
269	A5	B1:197:6:2401:49
270	2^4:A5(perm)	B0:678223072849
271	A5	B1:197:10:49:49
272	A5xC6	B0:4747561509943
273	A5	B0:129934811447123020117172145698449
274	PGL(2,9)	B1:29:3:77:7
275	A5	B2:97:717409:49
276	A5xC3	B0:3909821048582988049
277	PGL(2,9)	B1:29:7:7:7
278	A5xC25	B1:29:6:7:7
279	SL(2,5)	B0:22539340290692258087863249
280	A5	B0:909543680129861140820205019889143
281	A5xC8	B1:463:1:9317:77
282	A5xC5	B1:29:1:7:7;B2:43:11:11
283	PGL(2,9)	B1:463:3:77:77
284	A5	B1:29:8:77:7
285	A5xC25	B0:678223072849
286	A5xC12	B0:13841287201
287	A5	B0:6366805760909027985741435139224001
288	2^4:A5(perm)	B0:4747561509943
289	A5xC6	B0:33232930569601
290	A5xC2	B0:459986536544739960976801
291	A5xC8	B1:29:7:7:7
292	A5xC4	B1:29:4:77:7
293	PSL(2,7)xC2	B1:23:1:11:11;B2:103:13:13
294	A5	B0:44567640326363195900190045974568007
295	A5	B2:1145143:143143:143143
296	2^4:A5(perm)	B1:29:1:1001:7
297	SL(2,5)	B0:1104427674243920646305299201
298	2^4:A5(perm)	B1:463:1:9317:77
299	A5xC4	B0:3909821048582988049
300	A5xC2	B0:3219905755813179726837607
301	A5	B0:311973482284542371301330321821976049
302	2^4:A5(perm)	B1:29:7:7:7
303	A5xC8	B1:29:1:5929:7
304	A5xC25	B0:4747561509943
305	A5xC4	B1:14407:2:117649:2401
306	2^4:A5(perm)	B0:33232930569601
307	PSL(2,7)xC3	B1:23:9:11:11
308	A5	B0:2183814375991796599109312252753832343
309	A5xC10	B1:29:7:7:7
310	A5xC2	B0:22539340290692258087863249
311	A5xC12	B2:97:2401:49
312	A5xC3	B0:1341068619663964900807
313	PSL(2,7)xC3	B1:23:1:11:11;B2:103:13:13
314	A5xC25	B1:463:1:9317:77
315	A5	B0:15286700631942576193765185769276826401
316	A5	B1:29:9:77:7
317	A5xC6	B2:4801:117649:2401
318	A5	B1:29:19:7:7
319	A5xC2	B1:29:13:7:7
320	A5xC2	B0:157775382034845806615042743
321	A5xC3	B1:29:11:7:7
322	A5	B0:107006904423598033356356300384937784807
323	A5xC25	B0:33232930569601
324	2^4:A5(perm)	B0:232630513987207
325	A5xC4	B0:191581231380566414401
326	A5xC4	B1:29:10:7:7
327	A5xC15	B1:29:4:49:7
328	A5	B1:463:4:1001:77
329	A5	B0:749048330965186233494494102694564493649
330	A5xC12	B0:678223072849
331	PGL(2,9)	B2:35573:5929:5929
332	A5xC5	B1:29:5:77:7
333	SL(2,5)	B0:2651730845859653471779023381601
334	A5	B1:29:20:7:7
335	PSL(2,7)xC3	B2:571:20449:143
336	A5	B0:5243338316756303634461458718861951455543
337	PSL(2,7)xC2	B1:23:4:14641:11
338	A5xC4	B0:1341068619663964900807
339	A5xC25	B2:4003:1001:1001
340	A5xC2	B0:7730993719707444524137094407
341	A5xC2	B1:29:7:343:7
342	2^4:A5(perm)	B0:1628413597910449
343	A5	B0:36703368217294125441230211032033660188801
344	A5xC2	B1:29:1:17017:7
345	PSL(2,7)xC2	B1:23:11:11:11
346	A5	B1:197:13:49:49
347	PGL(2,9)	B1:29:9:7:7
348	A5xC3	B0:459986536544739960976801
349	A5xC8	B2:35573:5929:5929
350	A5	B0:256923577521058878088611477224235621321607
351	A5xC4	B0:9387480337647754305649
352	A5xC12	B0:4747561509943
353	PGL(2,9)	B1:29:1:7:7;B2:43:11:11
354	A5xC15	B1:29:3:77:7
355	A5	B1:463:4:5929:77
356	A5xC2	B1:29:3:1001:7
357	A5	B0:1798465042647412146620280340569649349251249
358	A5xC25	B1:29:8:7:7
359	A5xC6	B2:35573:5929:5929
360	2^4:A5(perm)	B0:11398895185373143
361	A5xC25	B0:1628413597910449
362	A5xC2	B1:29:7:77:7
363	A5xC15	B1:463:3:77:77
364	A5	B0:12589255298531885026341962383987545444758743
365	A5xC2	B1:29:15:7:7
366	A5	B1:29:22:7:7
367	A5xC5	B1:29:8:49:7
368	A5xC8	B0:3909821048582988049
369	SL(2,5)	B0:6366805760909027985741435139224001
370	A5xC2	B0:2651730845859653471779023381601
371	A5	B0:88124787089723195184393736687912818113311201
372	A5xC3	B0:22539340290692258087863249
373	A5xC4	B1:1373:4:2401:343
374	A5xC12	B0:33232930569601
375	A5xC3	B1:29:13:7:7
376	2^4:A5(perm)	B1:29:4:77:7
377	A5xC4	B0:459986536544739960976801
378	2^4:A5(perm)	B0:79792266297612001
379	A5xC25	B2:35573:5929:5929
380	A5xC2	B0:18562115921017574302453163671207
381	A5xC15	B2:4003:1001:1001
382	A5	B1:29:23:7:7
383	A5xC2	B1:463:7:77:77
384	A5xC3	B0:157775382034845806615042743
385	A5	B0:4318114567396436564035293097707728087552248849
386	A5xC4	B1:29:12:7:7
387	SL(2,5)	B0:311973482284542371301330321821976049
388	A5xC2	B1:29:16:7:7
389	A5	B1:29:16:49:7
390	A5xC2	B0:129934811447123020117172145698449
391	A5xC6	B0:3909821048582988049
392	A5	B0:30226801971775055948247051683954096612865741943
393	A5xC10	B1:29:1:7:7;B2:43:11:11
394	PSL(2,7)xC2	B2:103:314171:13
395	A5xC2	B2:97:717409:49
396	2^4:A5(perm)	B0:558545864083284007
397	A5xC12	B1:463:3:77:77
398	A5	B1:29:24:7:7
399	A5	B0:211587613802425391637729361787678676290060193601
400	A5xC2	B0:909543680129861140820205019889143
401	A5xC5	B2:307:1127357:77
402	A5	B1:463:11:77:77
403	A5xC4	B0:22539340290692258087863249
404	A5xC25	B1:463:4:77:77
405	SL(2,5)	B0:15286700631942576193765185769276826401
406	A5	B0:1481113296616977741464105532513750734030421355207
