1#############################################################################
2##
3#W  moufang.tbl    Small Moufang loops           G. P. Nagy / P. Vojtechovsky
4##
5##
6#Y  Copyright (C)  2004,  G. P. Nagy (University of Szeged, Hungary),
7#Y                        P. Vojtechovsky (University of Denver, USA)
8##
9
10LOOPS_moufang_data := [
11
12#implemented orders
13[ 12, 16, 20, 24, 28, 32, 36, 40, 42, 44, 48, 52, 54, 56, 60,   64, 81, 243 ],
14#number of loops of given order
15[ 1,   5,  1,  5,  1, 71,  4,  5,  1,  1, 51,  1,  2,  4,  5, 4262,  5,  72 ],
16# the loops
17[
18# order 12
19[
20# class 12:01 of Moufang loops
21[0,['G'],6,1]
22],
23# order 16
24[
25# class 16:01 of Moufang loops
26[0,['G'],8,1],
27[1,['C'],[5,2],9,4],
28[1,['C'],[2,4,9],3,4],
29[1,['D'],[5],2,9,4],
30[2,['D'],[5],9,10,4]
31],
32# order 20
33[
34# class 20:01 of Moufang loops
35[0,['G'],10,1]
36],
37# order 24
38[
39# class 24:01 of Moufang loops
40[0,['G'],12,1],
41[1,['C'],[7,2],13,3],
42[1,['D'],[7],2,13,3],
43[1,['D'],[7],13,14,3],
44# class 24:02 of Moufang loops
45[0,['G'],12,2]
46],
47# order 28
48[
49# class 28:01 of Moufang loops
50[0,['G'],14,1]
51],
52# order 32
53[
54# class 32:01 of Moufang loops
55[0,['G'],16,1],
56[1,['C'],[2,6],17,5],
57[1,['C'],[2,6],17,4],
58[1,['C'],[2,7,17],3,5],
59[1,['C'],[2,7,17],3,4],
60[1,['D'],[2,7],3,17,5],
61[1,['C'],[2,7,17],3,11],
62[1,['D'],[3,4,5],2,17,5],
63[1,['D'],[2,7],3,17,4],
64[1,['D'],[4,5,17],2,6,4],
65[1,['C'],[3,4,5,17],2,4],
66[1,['D'],[3,4],17,18,4],
67[1,['C'],[3,4,5,17],2,5],
68[1,['D'],[2,7],17,19,4],
69[1,['D'],[3,4,5],17,18,5],
70[2,['D'],[2,7],17,19,4],
71[2,['D'],[6,12],17,18,4],
72[2,['C'],[2,7,17],3,4],
73[2,['C'],[6,12,17],2,11],
74[2,['D'],[2,7],3,17,4],
75[2,['C'],[17,19,20],2,4],
76[2,['D'],[6,12],2,17,11],
77[2,['C'],[2,7,17],3,11],
78[2,['D'],[17,20],3,6,11],
79[2,['D'],[3,4,5],2,17,11],
80[2,['D'],[3,4,5],17,18,5],
81[2,['C'],[17,19,20],2,11],
82[3,['D'],[3,4],17,18,4],
83[3,['D'],[2,7],17,19,4],
84[3,['D'],[17,21],2,3,5],
85[3,['D'],[3,4,5],17,18,5],
86[4,['D'],[2,7],3,19,4],
87[4,['D'],[6,13],17,18,11],
88[4,['C'],[3,9,19],2,4],
89[4,['D'],[2,7],3,17,4],
90[5,['D'],[3],17,18,4],
91[5,['D'],[3,10],17,18,5],
92[6,['D'],[6,12],2,17,11],
93[7,['D'],[3,9],2,17,5],
94[8,['C'],[3,4,17],2,4],
95[9,['D'],[3,4,5],17,18,11],
96[10,['D'],[3],17,18,4],
97[11,['D'],[3,4],17,18,4],
98[12,['D'],[5,10],17,18,5],
99[15,['C'],[6,2,17],5,4],
100[15,['D'],[2,4,17],3,10,4],
101[15,['D'],[6,2],5,17,4],
102[15,['D'],[2,4,17],3,5,4],
103[16,['D'],[3,10],2,17,11],
104[17,['D'],[3,10],2,17,11],
105[26,['C'],[6,2],17,4],
106[27,['D'],[3,4],2,18,4],
107[28,['D'],[5,10],17,18,5],
108[29,['D'],[3,10],17,18,11],
109[31,['D'],[17,24],3,10,4],
110[31,['D'],[6,17],2,5,4],
111[31,['D'],[6,17],2,8,4],
112[31,['D'],[17,24],3,5,4],
113[38,['C'],[19,3],2,4],
114[41,['C'],[2,19,3],5,4],
115# class 32:02 of Moufang loops
116[0,['G'],16,4],
117[1,['C'],[6,2],17,5],
118[1,['C'],[4,2,17],3,5],
119[1,['D'],[4,2],3,17,5],
120[1,['D'],[6],2,17,5],
121[1,['D'],[4,2],17,19,5],
122[2,['D'],[6],17,18,5],
123[2,['D'],[4,2],17,19,5],
124[2,['D'],[4,17],2,6,5],
125[2,['D'],[4,17],2,3,5],
126[3,['D'],[6],2,17,5]
127],
128# order 36
129[
130# class 36:01 of Moufang loops
131[0,['G'],18,1],
132# class 36:02 of Moufang loops
133[0,['G'],18,2],
134# class 36:03 of Moufang loops
135[0,['G'],18,3],
136# 1 Moufang loop of order 36 not accounted for
137[0,['T'],[12,1,3]]
138],
139# order 40
140[
141# class 40:01 of Moufang loops
142[0,['G'],20,1],
143[1,['C'],[7,2],21,3],
144[1,['D'],[7],2,21,3],
145[1,['D'],[7],21,22,3],
146# class 40:02 of Moufang loops
147[0,['G'],20,2]
148],
149# order 42
150[
151# class 42:01 of Moufang loops
152[0,['G'],21,1]
153],
154# order 44
155[
156# class 44:01 of Moufang loops
157[0,['G'],22,1]
158],
159# order 48
160[
161# class 48:01 of Moufang loops
162[0,['G'],24,1],
163[1,['C'],[10,2],25,4],
164[1,['C'],[10,25],2,4],
165[1,['D'],[11],25,26,4],
166[1,['D'],[10],25,26,3],
167[2,['D'],[11],25,26,4],
168[2,['D'],[10],25,26,3],
169[3,['D'],[11],25,26,4],
170[3,['D'],[10],25,26,3],
171[4,['C'],[10,11,2],25,9],
172[4,['D'],[17,2],3,25,9],
173[4,['D'],[10,11],2,25,9],
174[4,['C'],[17,2,25],3,9],
175[4,['D'],[17,25],2,3,9],
176[4,['D'],[10,11],25,26,9],
177[5,['D'],[11,6],2,25,4],
178[6,['D'],[10,11],2,25,9],
179[6,['C'],[17,2],25,9],
180[12,['C'],[10,25],2,3],
181# class 48:02 of Moufang loops
182[0,['G'],24,2],
183[1,['C'],[9,13],25,5],
184# class 48:03 of Moufang loops
185[0,['G'],24,3],
186[1,['C'],[10,2],25,4],
187[1,['D'],[10],2,25,4],
188[1,['D'],[11,2],3,25,4],
189[1,['C'],[11,2,25],3,4],
190[1,['D'],[11,25],2,6,4],
191[1,['D'],[11,25],2,3,4],
192[1,['D'],[11,2],25,27,4],
193[1,['D'],[10],25,26,4],
194[2,['D'],[11,2],25,27,4],
195[3,['C'],[11,2,26],3,4],
196# class 48:08 of Moufang loops
197[0,['G'],24,8],
198[1,['C'],[13,7],25,5],
199[1,['C'],[13,25],2,5],
200[1,['C'],[7,12,25],3,5],
201[1,['D'],[13],2,25,5],
202[1,['D'],[12,25],2,6,5],
203[1,['D'],[6],25,31,5],
204[1,['D'],[12,25],2,3,5],
205[2,['D'],[6],25,31,5],
206[2,['D'],[12,25],2,6,5],
207[2,['D'],[12,25],2,3,5],
208# class 48:10 of Moufang loops
209[0,['G'],24,10],
210# class 48:11 of Moufang loops
211[0,['G'],24,11],
212[1,['C'],[6,14],25,2],
213# 5 Moufang loops of order 48 not accounted for
214[0,['T'],[16,4,3]], #direct product of MoufangLoop(16,4) with cyclic group of order 3.
215[1,['C'],[11,13],19,4],
216[1,['D'],[20,21],2,9,4],
217[1,['C'],[2,4,9],19,4],
218[2,['D'],[21],9,10,4]
219],
220# order 52
221[
222# class 52:01 of Moufang loops
223[0,['G'],26,1]
224],
225# order 54
226[
227# class 54:01 of Moufang loops
228[0,['G'],27,1],
229# class 54:02 of Moufang loops
230[0,['G'],27,2]
231],
232# order 56
233[
234# class 56:01 of Moufang loops
235[0,['G'],28,1],
236[1,['C'],[7,2],29,3],
237[1,['D'],[7],2,29,3],
238[1,['D'],[7],29,30,3]
239],
240# order 60
241[
242# class 60:01 of Moufang loops
243[0,['G'],30,1],
244# class 60:02 of Moufang loops
245[0,['G'],30,2],
246# class 60:03 of Moufang loops
247[0,['G'],30,3],
248# 2 Moufang loops of order 60 not accounted for (2 classes)
249[0,['T'],[20,1,3]],
250[0,['T'],[12,1,5]]
251],
252# order 64
253[
254# class 64:01 of Moufang loops
255[0,['G'],32,1],
256[1,['C'],[2,3],33,4],
257[1,['C'],[2,3],33,14],
258[1,['C'],[2,3],33,5],
259[1,['C'],[2,8,10,33],3,15],
260[1,['C'],[2,8,10,33],3,4],
261[1,['C'],[2,8,10,33],3,14],
262[1,['D'],[2,8,10],3,33,15],
263[1,['C'],[2,8,10,33],3,5],
264[1,['D'],[2,8,10],3,33,6],
265[1,['D'],[4,5,6,33],2,3,16],
266[1,['D'],[4,5,6,33],2,3,4],
267[1,['C'],[2,8,10,33],3,6],
268[1,['D'],[4,5,6,33],2,3,5],
269[1,['D'],[2,8],33,35,14],
270[1,['D'],[2,8],33,35,4],
271[1,['D'],[2,8],33,35,5],
272[1,['D'],[4,5,6,33],2,3,26],
273[1,['D'],[2,8,10],33,35,15],
274[1,['D'],[2,8,10],33,35,6],
275[2,['D'],[2,8],33,35,14],
276[2,['D'],[2,8],33,35,4],
277[2,['D'],[2,8],33,35,5],
278[2,['C'],[2,8,10,33],3,5],
279[2,['D'],[2,8,10],3,33,6],
280[2,['C'],[2,8,10,33],3,14],
281[2,['D'],[2,8,10],3,33,15],
282[2,['D'],[2,8,10],33,35,15],
283[2,['D'],[33,37,38],2,3,5],
284[2,['C'],[2,8,10,33],3,15],
285[2,['D'],[33,37,38],2,3,16],
286[2,['C'],[2,8,10,33],3,6],
287[2,['D'],[33,37,38],2,3,4],
288[2,['D'],[33,37,38],2,3,26],
289[2,['D'],[2,8,10],33,35,6],
290[3,['D'],[2,8],33,35,4],
291[3,['D'],[2,8],33,35,14],
292[3,['D'],[2,8],33,35,5],
293[3,['C'],[3,11,12,33],2,15],
294[3,['D'],[2,8,10],3,33,15],
295[3,['C'],[2,8,10,33],3,15],
296[3,['D'],[2,8,10],33,35,15],
297[3,['D'],[3,11,12],33,34,14],
298[3,['C'],[2,8,10,33],3,4],
299[3,['C'],[3,11,12,33],2,4],
300[3,['C'],[3,11,12,33],2,6],
301[3,['D'],[33,36,38],2,3,4],
302[3,['D'],[33,36,38],3,7,6],
303[3,['D'],[2,8,10],3,33,6],
304[3,['D'],[3,11,12],2,33,26],
305[3,['D'],[33,36,38],2,3,16],
306[3,['D'],[33,36,38],2,3,5],
307[3,['D'],[33,36,38],2,3,6],
308[3,['C'],[2,8,10,33],3,6],
309[3,['C'],[3,11,12,33],2,26],
310[3,['D'],[33,36,38],2,3,26],
311[3,['D'],[2,8,10],33,35,6],
312[3,['D'],[33,36,38],3,7,14],
313[3,['D'],[33,36,38],3,7,5],
314[3,['D'],[3,11,12],33,34,5],
315[4,['D'],[2,8],33,35,14],
316[4,['D'],[2,8],33,35,5],
317[4,['C'],[2,8,10,33],3,15],
318[4,['C'],[3,11,12,33],2,15],
319[4,['D'],[2,8,10],3,33,15],
320[4,['D'],[2,8,10],33,35,15],
321[4,['D'],[33,36,38],3,7,14],
322[4,['D'],[33,36,38],2,3,5],
323[4,['D'],[33,36,38],3,7,5],
324[5,['D'],[2,8,10],3,35,16],
325[5,['D'],[2,8,10],3,35,6],
326[5,['D'],[2,8,10],3,35,26],
327[5,['C'],[7,17,19,39],2,16],
328[5,['C'],[3,12,13,35],2,4],
329[5,['C'],[7,17,19,39],2,26],
330[5,['D'],[4,5,6,33],3,7,4],
331[5,['D'],[35,43,44],2,7,26],
332[5,['D'],[7,17,19],2,33,6],
333[5,['C'],[3,12,13,35],2,16],
334[5,['C'],[7,17,19,39],2,6],
335[5,['D'],[3,12,13],2,33,14],
336[5,['D'],[35,43,44],2,3,16],
337[5,['D'],[4,5,6,33],3,7,6],
338[5,['C'],[3,12,13,35],2,14],
339[5,['D'],[4,5,6,33],3,7,26],
340[5,['D'],[3,12,13],2,33,5],
341[5,['D'],[3,13],33,34,6],
342[5,['D'],[2,8],3,33,4],
343[5,['D'],[2,8],3,33,14],
344[5,['D'],[3,13],33,34,15],
345[5,['D'],[2,8],3,33,5],
346[5,['D'],[3,13],33,34,4],
347[5,['C'],[7,17,19,39],2,4],
348[5,['D'],[4,5,6,33],2,3,4],
349[5,['D'],[4,5,6,33],2,3,26],
350[5,['D'],[2,8,10],3,33,16],
351[5,['D'],[7,17,19],2,33,15],
352[5,['D'],[2,8,10],3,33,26],
353[5,['D'],[4,5,6,33],2,3,6],
354[5,['C'],[7,17,19,39],2,5],
355[5,['D'],[35,43,44],3,7,14],
356[5,['D'],[4,5,6,33],2,7,5],
357[5,['D'],[3,12,13],33,34,14],
358[5,['D'],[2,8,10],3,33,6],
359[5,['D'],[35,43,44],3,7,5],
360[5,['D'],[7,17,19],33,34,5],
361[5,['D'],[3,12,13],33,34,5],
362[6,['D'],[35,44,45],2,3,5],
363[6,['D'],[3,11,12],2,33,5],
364[6,['D'],[2,8],33,35,14],
365[6,['D'],[3,11],33,34,6],
366[6,['D'],[2,8],33,35,4],
367[6,['D'],[3,11],33,34,4],
368[6,['D'],[3,11],33,34,15],
369[6,['D'],[2,8],33,35,5],
370[6,['D'],[2,8,10],33,35,15],
371[6,['D'],[3,11,12],33,34,5],
372[7,['D'],[3,11,12],2,33,16],
373[7,['D'],[35,43,45],2,3,16],
374[7,['D'],[35,43,45],2,3,5],
375[7,['D'],[3,11,12],2,33,26],
376[7,['D'],[35,43,45],2,3,4],
377[7,['D'],[2,8],33,35,4],
378[7,['D'],[2,8],33,35,14],
379[7,['D'],[2,8],33,35,5],
380[7,['D'],[4,5,6,33],2,3,26],
381[7,['D'],[2,8,10],33,35,6],
382[8,['C'],[2,8,33],3,4],
383[8,['C'],[2,8,33],3,14],
384[8,['C'],[2,8,33],3,5],
385[8,['D'],[3,11,12],2,33,14],
386[8,['C'],[2,8,10,35],3,6],
387[8,['C'],[2,8,10,35],3,26],
388[8,['D'],[3,11,12],2,33,5],
389[8,['D'],[35,43,44],2,3,5],
390[8,['D'],[35,43,44],2,3,4],
391[8,['D'],[3,11],33,34,4],
392[8,['D'],[3,11],33,34,6],
393[8,['C'],[7,17,18,39],2,6],
394[8,['D'],[3,11,12],33,34,14],
395[8,['D'],[35,43,44],3,7,4],
396[8,['C'],[2,8,10,33],3,26],
397[8,['D'],[3,11,12],33,34,5],
398[9,['D'],[2,8],33,35,14],
399[9,['D'],[2,8],33,35,5],
400[10,['C'],[2,8,33],3,14],
401[10,['C'],[2,8,33],3,4],
402[10,['C'],[2,8,33],3,5],
403[10,['C'],[2,8,10,35],3,26],
404[10,['D'],[3,11],33,34,6],
405[10,['D'],[35,43,44],3,7,14],
406[10,['D'],[3,11,12],33,34,14],
407[11,['D'],[4,5,34],2,7,5],
408[11,['D'],[4,5,34],2,7,4],
409[11,['D'],[4,5,34],2,7,14],
410[11,['D'],[4,5,6,34],3,7,26],
411[11,['D'],[7,29],33,34,26],
412[11,['D'],[7,29],33,34,16],
413[11,['D'],[7,29],33,34,4],
414[11,['D'],[4,5,6,34],2,7,26],
415[12,['D'],[2,8],33,35,14],
416[12,['D'],[2,8],33,35,4],
417[12,['D'],[2,8],33,35,5],
418[13,['D'],[2,8],3,33,4],
419[13,['D'],[2,8],3,33,5],
420[14,['D'],[4,6,35],3,7,6],
421[14,['D'],[4,6,35],3,7,4],
422[14,['D'],[2,8],33,35,5],
423[15,['D'],[10],33,35,4],
424[15,['D'],[2,6],33,35,15],
425[15,['D'],[10,22],33,35,5],
426[15,['D'],[2,6],33,35,6],
427[16,['D'],[2,6],33,35,6],
428[19,['C'],[2,3,33],6,14],
429[19,['D'],[2,3],6,33,5],
430[19,['D'],[2,3],6,33,4],
431[19,['D'],[2,3],6,33,14],
432[19,['C'],[2,3,33],6,4],
433[19,['D'],[2,8,33],3,13,4],
434[19,['D'],[3,12,33],2,10,14],
435[19,['D'],[2,8,33],3,13,14],
436[19,['D'],[3,12,33],2,10,5],
437[19,['C'],[2,3,33],6,5],
438[19,['D'],[2,8,33],3,13,5],
439[19,['D'],[3,12,33],2,10,4],
440[19,['D'],[3,12,33],2,6,14],
441[19,['D'],[2,8,33],3,6,14],
442[19,['D'],[3,12,33],2,6,4],
443[19,['D'],[2,8,33],3,6,4],
444[19,['D'],[2,8,33],3,6,5],
445[19,['D'],[3,12,33],2,6,5],
446[19,['D'],[3,12,13],33,34,14],
447[19,['D'],[3,12,13],33,34,5],
448[20,['C'],[2,7,33],6,4],
449[20,['C'],[2,7,33],6,5],
450[20,['D'],[2,7],6,33,5],
451[20,['D'],[3,4,5,33],2,10,5],
452[20,['D'],[2,7],6,33,4],
453[20,['D'],[3,4,5,33],2,10,4],
454[20,['D'],[2,8,33],3,13,4],
455[20,['D'],[2,8,33],3,13,14],
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1562[916,['D'],[3,4,33],2,10,4],
1563[939,['C'],[10,3,33],2,4],
1564[945,['D'],[2,33],3,6,4],
1565[945,['D'],[5,12,33],2,6,4],
1566[945,['D'],[6,33],2,3,4],
1567[949,['D'],[10,16],3,33,4],
1568[987,['D'],[39,61],2,7,4],
1569[1237,['D'],[3,13],33,34,4],
1570[1237,['D'],[4,6,12],33,34,4],
1571# class 64:04 of Moufang loops
1572[0,['G'],32,4],
1573[1,['C'],[2,7],33,6],
1574[1,['C'],[2,8,33],3,6],
1575[1,['C'],[12,23,3,33],2,6],
1576[1,['D'],[12,23],33,34,6],
1577[1,['D'],[4,5,6,33],2,3,6],
1578[1,['D'],[3,4,6],33,34,6],
1579[2,['D'],[12,23],33,34,6],
1580[2,['D'],[3,4,6],33,34,6],
1581[2,['D'],[33,36,37],2,3,6],
1582[3,['D'],[3,11],33,34,6],
1583[3,['D'],[4,6,12],33,34,6],
1584[4,['D'],[12,23],33,34,6],
1585[4,['D'],[3,4,6],33,34,6],
1586[5,['D'],[5,14,33],2,3,6],
1587[5,['D'],[5,14,33],2,7,6],
1588[8,['D'],[5,14,33],2,3,6],
1589[8,['D'],[5,14,33],2,7,6],
1590# class 64:07 of Moufang loops
1591[0,['G'],32,7],
1592[1,['C'],[7,17,2],33,5],
1593[1,['C'],[7,17,2],33,6],
1594[1,['C'],[7,17,2],33,16],
1595[1,['C'],[2,4,33],3,5],
1596[1,['C'],[2,4,33],3,6],
1597[1,['C'],[7,17,33],2,6],
1598[1,['C'],[7,17,33],2,16],
1599[1,['C'],[2,4,33],3,16],
1600[1,['C'],[7,17,33],2,5],
1601[1,['D'],[2,4],3,33,5],
1602[1,['D'],[4,14,3],2,33,5],
1603[1,['D'],[4,14,33],2,7,6],
1604[1,['C'],[4,14,3,33],2,6],
1605[1,['D'],[2,4],3,33,6],
1606[1,['D'],[7,17],2,33,6],
1607[1,['C'],[4,14,3,33],2,16],
1608[1,['D'],[4,14,33],2,7,16],
1609[1,['D'],[4,14,3],2,33,16],
1610[1,['D'],[2,4],3,33,16],
1611[1,['D'],[7,17],2,33,16],
1612[1,['C'],[4,14,3,33],2,5],
1613[1,['D'],[2,4],33,35,5],
1614[1,['D'],[4,14,33],2,3,6],
1615[1,['D'],[2,4],33,35,6],
1616[1,['D'],[4,14,33],2,3,16],
1617[1,['D'],[2,4],33,35,16],
1618[1,['D'],[4,3],33,34,6],
1619[1,['D'],[4,14,3],33,34,16],
1620[1,['D'],[4,14,3],33,34,5],
1621[2,['D'],[2,4],33,35,5],
1622[2,['D'],[2,4],33,35,6],
1623[2,['D'],[2,4],33,35,16],
1624[2,['D'],[7,17],33,34,6],
1625[2,['D'],[4,14,33],2,7,6],
1626[2,['C'],[7,17,33],2,16],
1627[2,['C'],[2,4,33],3,16],
1628[2,['C'],[2,4,33],3,6],
1629[2,['C'],[7,17,33],2,6],
1630[2,['D'],[4,14,33],2,3,16],
1631[2,['D'],[4,14,3],33,34,16],
1632[2,['C'],[4,14,33,35],2,16],
1633[2,['D'],[2,4],3,33,16],
1634[2,['D'],[7,17],2,33,16],
1635[2,['D'],[4,14,33],3,7,16],
1636[2,['D'],[4,14,3],2,33,16],
1637[2,['D'],[4,14,33],2,3,6],
1638[2,['D'],[2,4],3,33,6],
1639[2,['D'],[7,17],2,33,6],
1640[2,['D'],[4,14,33],3,7,6],
1641[2,['C'],[4,14,33,35],2,6],
1642[2,['D'],[4,14,3],33,34,5],
1643[3,['D'],[2,4],33,35,6],
1644[3,['D'],[2,4],33,35,5],
1645[3,['D'],[4,14,33],2,7,16],
1646[3,['C'],[2,4,33],3,5],
1647[3,['D'],[2,4],33,35,16],
1648[3,['D'],[4,3],33,34,6],
1649[3,['D'],[4,14,33],2,7,6],
1650[3,['D'],[4,14,33],2,3,16],
1651[3,['C'],[7,17,33],2,5],
1652[3,['D'],[2,4],3,33,5],
1653[3,['D'],[4,14,3],2,33,5],
1654[3,['D'],[4,14,33],2,3,5],
1655[3,['D'],[4,14,3],33,34,16],
1656[3,['D'],[4,14,33],2,3,6],
1657[3,['C'],[4,14,33,35],2,5],
1658[3,['D'],[4,14,3],33,34,5],
1659[4,['D'],[2,4],33,35,5],
1660[4,['D'],[4,14,33],2,7,6],
1661[4,['D'],[4,14,33],2,3,5],
1662[4,['D'],[4,14,33],3,7,16],
1663[4,['D'],[4,14,33],2,3,16],
1664[5,['D'],[2,4],3,35,6],
1665[5,['D'],[2,4],3,35,16],
1666[5,['D'],[7,18],2,33,6],
1667[5,['D'],[4,14,35],2,7,6],
1668[5,['D'],[3,4],2,33,16],
1669[5,['D'],[4,14,33],3,7,6],
1670[5,['C'],[3,4,35],2,16],
1671[5,['C'],[3,4,35],2,6],
1672[5,['D'],[3,4],33,34,16],
1673[5,['D'],[2,4],33,35,16],
1674[5,['D'],[4,14,33],2,7,16],
1675[5,['D'],[4,14,35],3,7,16],
1676[5,['D'],[2,4],3,33,16],
1677[5,['D'],[7,18],33,34,16],
1678[5,['D'],[2,4],33,35,6],
1679[5,['D'],[4,14,33],2,7,6],
1680[5,['D'],[2,4],3,33,6],
1681[6,['D'],[2,4],3,35,5],
1682[6,['D'],[2,4],3,35,16],
1683[6,['D'],[7,17],2,33,16],
1684[6,['D'],[4,14,35],2,7,16],
1685[6,['D'],[3,4,12],2,33,16],
1686[6,['D'],[4,14,35],2,3,16],
1687[6,['D'],[7,17],2,33,6],
1688[6,['C'],[7,17,39],2,5],
1689[6,['D'],[2,4],3,33,5],
1690[6,['C'],[3,4,12,35],2,5],
1691[6,['D'],[2,4],33,35,5],
1692[6,['D'],[3,4,12],33,34,16],
1693[6,['D'],[3,4],33,34,6],
1694[6,['D'],[3,4,12],33,34,5],
1695[7,['D'],[7,17],2,34,16],
1696[7,['D'],[2,4],3,33,16],
1697[7,['D'],[4,14,34],2,7,16],
1698[7,['D'],[2,4],33,35,5],
1699[7,['D'],[4,14,33],2,7,16],
1700[7,['D'],[7,17],2,33,16],
1701[7,['D'],[4,14,34],2,3,16],
1702[7,['D'],[2,4],33,35,16],
1703[7,['D'],[3,4],33,34,6],
1704[7,['D'],[3,4,12],33,34,16],
1705[8,['D'],[3,4],33,34,16],
1706[8,['D'],[4,14,34],2,3,16],
1707[8,['D'],[2,4,9],33,35,16],
1708[9,['D'],[2,4],3,35,5],
1709[9,['D'],[2,4],3,35,6],
1710[9,['D'],[7,18],2,33,6],
1711[9,['D'],[4,14,35],2,7,6],
1712[9,['D'],[3,4],2,33,5],
1713[9,['D'],[7,18],33,34,16],
1714[10,['D'],[3,4],2,33,16],
1715[10,['D'],[4,14,34],2,7,6],
1716[10,['D'],[4,14,2],3,33,6],
1717[10,['D'],[4,14,2],3,33,16],
1718[11,['D'],[7,17],2,33,16],
1719[12,['C'],[4,3,33],2,6],
1720[13,['C'],[3,4,12,34],2,16],
1721[13,['D'],[4,14,39],2,3,16],
1722[13,['D'],[2,4],33,35,5],
1723[13,['D'],[4,14,34],2,3,5],
1724[13,['C'],[3,4,12,34],2,5],
1725[13,['D'],[3,4],33,34,6],
1726[13,['D'],[3,4,12],33,34,5],
1727[14,['D'],[4,3],33,34,6],
1728[14,['D'],[4,14,33],2,3,16],
1729[15,['D'],[4,14,3],33,34,16],
1730[16,['D'],[4,14,3],33,34,5],
1731[17,['D'],[4,3],2,33,6],
1732[18,['D'],[4,14,35],2,3,5],
1733[19,['C'],[4,3,33],2,6],
1734[21,['D'],[2,4],33,35,5],
1735[22,['D'],[4,3],2,33,6],
1736[23,['D'],[7],33,34,6],
1737[26,['D'],[4,35],3,7,6],
1738[28,['D'],[4,5,12],33,34,5],
1739[29,['C'],[7,2,33],5,6],
1740[29,['D'],[7,2],5,33,6],
1741[29,['D'],[2,4,33],3,5,6],
1742[29,['D'],[4,3,33],2,9,6],
1743[29,['D'],[7,33],2,5,6],
1744[29,['D'],[7,33],2,9,6],
1745[29,['D'],[4,3,33],2,5,6],
1746[29,['D'],[2,4,33],3,12,6],
1747[30,['C'],[7,2,33],5,6],
1748[30,['D'],[7,2],5,33,6],
1749[30,['D'],[4,2,33],3,12,6],
1750[31,['D'],[7,18],2,33,16],
1751[32,['C'],[3,4,12,33],2,16],
1752[32,['D'],[3,4,12],2,33,16],
1753[32,['C'],[3,4,12,33],2,6],
1754[33,['C'],[7,18,33],2,6],
1755[33,['D'],[7,18],2,33,16],
1756[33,['D'],[4,14,33],3,7,16],
1757[33,['C'],[7,18,33],2,16],
1758[34,['D'],[3,4,12],2,33,16],
1759[34,['C'],[3,4,12,33],2,16],
1760[35,['C'],[3,4,12,33],2,16],
1761[36,['D'],[3,4],33,34,5],
1762[37,['D'],[4,14,35],2,3,6],
1763[38,['D'],[3,4,12],33,34,16],
1764[39,['D'],[3,4,12],33,34,16],
1765[41,['C'],[7,2],33,6],
1766[41,['D'],[2,4,9],3,33,6],
1767[42,['D'],[4,3],2,34,6],
1768[52,['C'],[7,2],33,6],
1769[53,['D'],[3,4,12],33,34,16],
1770[54,['D'],[7],33,34,6],
1771[54,['D'],[4,14,33],2,7,6],
1772[56,['D'],[4,14,35],3,7,16],
1773[58,['D'],[4,5,12],33,34,5],
1774[58,['D'],[4,5,33],2,3,6],
1775[60,['D'],[4,35],3,7,6],
1776[64,['D'],[4,35],3,7,6],
1777[65,['D'],[2,4,33],3,5,6],
1778[65,['D'],[4,33,35],2,9,6],
1779[65,['D'],[7,33],2,5,6],
1780[65,['D'],[7,33],2,9,6],
1781[65,['D'],[4,33,35],2,5,6],
1782[65,['D'],[2,4,33],3,12,6],
1783[67,['D'],[4,3],2,33,6],
1784[68,['D'],[7,33],2,5,6],
1785[68,['D'],[4,33,41],3,12,6],
1786[68,['D'],[7,33],2,9,6],
1787[78,['C'],[7,39],2,6],
1788[82,['C'],[2,4,33],3,6],
1789[84,['D'],[4,35],3,7,6],
1790[86,['D'],[7],33,34,6],
1791[87,['D'],[2,4],3,33,6],
1792[96,['D'],[4,33],3,7,6],
1793[100,['D'],[3,4],2,33,6],
1794[102,['D'],[2,4,33],3,12,6],
1795[102,['D'],[7,50],2,5,6],
1796[102,['D'],[7,2],33,34,6],
1797[102,['D'],[2,4,35],3,12,6],
1798[108,['D'],[7],33,34,6],
1799[111,['D'],[4,39],3,7,6],
1800[117,['D'],[7],2,33,6],
1801[128,['C'],[4,35,3],2,6],
1802[139,['C'],[7,2,35],5,6],
1803[144,['C'],[7,33],2,6],
1804[167,['D'],[7],2,34,6],
1805# class 64:15 of Moufang loops
1806[0,['G'],32,15],
1807[1,['C'],[7,2],33,6],
1808[1,['C'],[4,2,33],3,6],
1809[1,['D'],[4,2],3,33,6],
1810[1,['D'],[7],2,33,6],
1811[1,['D'],[4,2],33,35,6],
1812[2,['D'],[7],33,34,6],
1813[2,['D'],[4,2],33,35,6],
1814[2,['D'],[4,33],2,7,6],
1815[2,['D'],[4,33],2,3,6],
1816[3,['D'],[7],2,33,6],
1817# class 64:23 of Moufang loops
1818[0,['G'],32,23],
1819[1,['C'],[7,8,17],33,5],
1820[1,['C'],[8,17,33],2,6],
1821[1,['C'],[8,17,33],2,5],
1822[1,['C'],[7,19,2,33],4,5],
1823[1,['C'],[7,19,2,33],4,6],
1824[1,['D'],[8,17],2,33,6],
1825[1,['D'],[8,17],2,33,5],
1826[1,['C'],[3,4,5,6,33],2,5],
1827[1,['D'],[7,19,33],4,8,6],
1828[1,['D'],[7,19,2],4,33,5],
1829[1,['D'],[7,19,2],4,33,6],
1830[1,['D'],[3,5,6,33],2,8,5],
1831[1,['D'],[3,5,6,33],2,8,6],
1832[1,['D'],[7,19,33],4,8,5],
1833[1,['D'],[7,19,33],2,4,16],
1834[1,['D'],[7,19,33],2,4,5],
1835[1,['D'],[3,5,6,33],4,8,6],
1836[1,['D'],[8,17],33,34,6],
1837[1,['D'],[2,5,6,33],3,4,5],
1838[1,['D'],[7,19,2],33,36,5],
1839[1,['D'],[3,5,6,33],2,4,5],
1840[1,['D'],[7,19,33],2,4,6],
1841[1,['D'],[2,5,6,33],3,4,16],
1842[1,['D'],[7,19,2],33,36,6],
1843[1,['D'],[3,5,6,33],2,4,6],
1844[2,['D'],[7,17],33,34,5],
1845[2,['D'],[7,17],33,34,16],
1846[2,['D'],[8,17],33,34,6],
1847[2,['C'],[8,17,33],2,6],
1848[2,['D'],[8,20,2],33,35,6],
1849[2,['C'],[7,17,33],2,6],
1850[2,['C'],[8,20,33,34],3,6],
1851[2,['D'],[7,19,33],4,8,6],
1852[2,['D'],[8,20,33],3,7,16],
1853[2,['D'],[33,36,38],2,7,6],
1854[2,['D'],[33,35,38],2,8,6],
1855[2,['D'],[33,36,38],2,7,16],
1856[2,['D'],[8,20,33],3,7,6],
1857[2,['D'],[7,19,2],33,36,5],
1858[2,['D'],[7,19,2],33,36,6],
1859[2,['D'],[8,20,2],33,35,5],
1860[2,['C'],[7,19,33,34],4,6],
1861[2,['D'],[33,34,38],4,11,6],
1862[2,['D'],[8,20,33],2,3,16],
1863[2,['D'],[8,20,33],2,3,6],
1864[2,['D'],[33,35,38],4,8,6],
1865[2,['D'],[33,34,38],3,4,6],
1866[2,['D'],[7,19,33],2,4,16],
1867[2,['D'],[8,20,33],2,7,6],
1868[2,['D'],[8,20,2],33,35,16],
1869[2,['D'],[33,36,38],3,7,16],
1870[2,['D'],[33,36,38],2,3,6],
1871[2,['D'],[7,19,33],2,4,6],
1872[2,['D'],[8,20,33],2,7,16],
1873[2,['D'],[33,34,38],3,4,16],
1874[2,['D'],[8,17],2,33,6],
1875[2,['D'],[7,17],2,33,6],
1876[2,['C'],[33,35,36,38],2,6],
1877[2,['D'],[8,20,2],3,33,6],
1878[2,['D'],[7,19,2],4,33,6],
1879[2,['D'],[33,35,38],2,8,5],
1880[2,['D'],[8,20,33],3,7,5],
1881[2,['D'],[33,36,38],2,7,5],
1882[2,['D'],[7,19,33],4,8,5],
1883[2,['D'],[33,34,38],3,4,5],
1884[2,['D'],[7,19,33],2,4,5],
1885[2,['D'],[8,20,33],2,7,5],
1886[2,['D'],[33,35,38],2,4,6],
1887[2,['D'],[33,36,38],2,3,16],
1888[2,['D'],[8,20,33],2,3,5],
1889[2,['D'],[33,35,38],2,4,5],
1890[2,['D'],[33,34,38],4,11,5],
1891[2,['D'],[33,36,38],2,3,5],
1892[3,['D'],[8,17],2,34,16],
1893[3,['D'],[8,17],2,34,5],
1894[3,['D'],[8,20,33],2,7,5],
1895[3,['D'],[17,27,33],2,4,16],
1896[3,['C'],[2,9,11,34],3,5],
1897[3,['C'],[2,4,9,34],3,5],
1898[3,['D'],[17,27,33],2,4,5],
1899[3,['D'],[8,20,33],2,7,6],
1900[3,['D'],[17,27,33],2,4,6],
1901[3,['D'],[8,20,33],2,7,16],
1902[3,['D'],[7,18,39],4,8,16],
1903[3,['D'],[4,14,36],2,7,5],
1904[3,['D'],[4,14,36],2,7,16],
1905[3,['D'],[11,23,43],2,7,5],
1906[3,['D'],[7,8],2,33,16],
1907[3,['D'],[2,9,11],3,33,16],
1908[3,['D'],[2,4,9],3,33,5],
1909[3,['D'],[2,4,9],3,33,16],
1910[3,['D'],[2,9,11],3,33,5],
1911[3,['D'],[17,27,34],3,4,16],
1912[3,['D'],[8,20,34],3,7,5],
1913[3,['D'],[17,27,34],3,4,5],
1914[3,['D'],[7,18,39],4,8,5],
1915[3,['D'],[11,23,43],2,7,16],
1916[3,['D'],[2,7],4,33,16],
1917[3,['C'],[2,7,34],4,5],
1918[3,['D'],[34,39,41],2,8,5],
1919[3,['D'],[34,39,41],2,8,16],
1920[3,['D'],[2,7],4,33,5],
1921[3,['D'],[8,20,34],3,7,16],
1922[3,['D'],[4,7],2,33,5],
1923[3,['D'],[4,7],2,33,16],
1924[3,['D'],[7,8],2,33,5],
1925[3,['C'],[2,9,11,34],3,16],
1926[3,['D'],[2,9,34],4,11,5],
1927[3,['D'],[3,5,6,33],2,4,5],
1928[3,['D'],[8,20,34],2,3,5],
1929[3,['D'],[17,27,34],2,3,5],
1930[3,['D'],[8,20,34],2,3,16],
1931[3,['D'],[2,9,34],4,11,16],
1932[3,['D'],[7,18,39],2,8,5],
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4320[189,['D'],[11,24,43],2,7,16],
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4325[190,['D'],[11,24,34],2,7,16],
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4338[192,['D'],[8,11],33,34,5],
4339[192,['D'],[11,24,34],3,7,16],
4340[192,['D'],[11,24,43],3,7,16],
4341[193,['D'],[2,9,33],3,4,6],
4342[193,['D'],[2,9,39],3,4,6],
4343[193,['D'],[33,37,39],2,8,5],
4344[193,['D'],[33,37,39],2,4,5],
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4349[197,['D'],[2,3],4,36,5],
4350[200,['D'],[8,11],33,34,16],
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4360[218,['D'],[36,40,47],3,11,16],
4361[218,['D'],[17,27,35],3,4,16],
4362[220,['D'],[43,49],3,4,6],
4363[220,['D'],[3,12,36],2,8,6],
4364[222,['D'],[17,27,34],2,4,16],
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4366[224,['D'],[17,27,49],2,4,16],
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4368[224,['D'],[11,17],33,35,5],
4369[227,['D'],[7,19,40],2,4,16],
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4387[266,['D'],[11,23,43],2,7,16],
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4389[269,['D'],[4,14,2],33,35,5],
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4397[397,['D'],[3,8],33,34,16],
4398[397,['D'],[2,3],33,36,16],
4399[406,['D'],[7,8],33,34,16],
4400[422,['D'],[17,27,35],2,3,6],
4401[704,['C'],[3,4,33],2,6],
4402[704,['D'],[3,4],2,33,16],
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4410[709,['D'],[11,23,33],2,7,16],
4411[710,['D'],[3,8,12],33,34,16],
4412[710,['D'],[8,20,34],3,7,16],
4413[710,['D'],[2,10,11],3,35,16],
4414[710,['D'],[3,4],2,33,16],
4415[710,['D'],[2,3],4,33,16],
4416[710,['D'],[3,12,34],4,8,16],
4417[710,['D'],[11,24,34],3,7,16],
4418[710,['D'],[3,8,12],2,33,16],
4419[711,['D'],[11,24,33],2,7,5],
4420[711,['D'],[11,24,35],2,7,16],
4421[714,['D'],[3,12,34],4,8,6],
4422[716,['D'],[4,14,33],2,3,6],
4423[720,['D'],[11,24,34],3,7,16],
4424[726,['D'],[11,24,34],2,3,16],
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4426[759,['D'],[2,9,11],33,35,5],
4427[763,['C'],[3,4,34],2,16],
4428[783,['D'],[11,24,34],2,7,6],
4429[856,['D'],[3,13,33],2,8,5],
4430# class 64:38 of Moufang loops
4431[0,['G'],32,38],
4432[1,['C'],[7,17,8],33,6],
4433[1,['C'],[17,8,33],2,6],
4434[1,['C'],[7,17,33],2,6],
4435[1,['C'],[5,8,14,33],3,6],
4436[1,['C'],[7,2,33],4,6],
4437[1,['D'],[7,33],4,8,6],
4438[1,['C'],[5,14,3,33],2,6],
4439[1,['D'],[5,14,33],2,7,6],
4440[1,['D'],[7,17],2,33,6],
4441[1,['D'],[5,8,14],3,33,6],
4442[1,['D'],[17,8],2,33,6],
4443[1,['D'],[5,2,33],3,4,6],
4444[1,['D'],[5,8,33],2,3,6],
4445[1,['D'],[5,3,33],4,8,6],
4446[1,['D'],[5,8,33],3,7,6],
4447[1,['D'],[5,8,14],33,35,6],
4448[1,['D'],[5,14,33],2,3,6],
4449[1,['D'],[7,33],2,4,6],
4450[1,['D'],[5,2,33],3,11,6],
4451[2,['D'],[5,8,14],33,35,6],
4452[2,['D'],[5,14,33],2,7,6],
4453[2,['D'],[7,33],4,8,6],
4454[2,['D'],[5,33,34],3,4,6],
4455[2,['D'],[5,8,33],2,3,6],
4456[2,['D'],[5,33,35],4,8,6],
4457[2,['D'],[5,8,33],3,7,6],
4458[2,['D'],[7,33],2,4,6],
4459[2,['D'],[5,14,33],2,3,6],
4460[2,['D'],[5,33,34],3,11,6],
4461[3,['D'],[5,8,33],2,7,6],
4462[3,['D'],[2,5,34],4,11,6],
4463[3,['D'],[7,8],2,33,6],
4464[3,['D'],[2,4,5],3,33,6],
4465[3,['D'],[4,5,36],2,3,6],
4466[3,['D'],[7,39],2,8,6],
4467[3,['D'],[2,5,34],3,11,6],
4468[3,['D'],[2,5,34],3,4,6],
4469[3,['D'],[5,8,34],2,7,6],
4470[3,['D'],[4,5,36],3,7,6],
4471[3,['D'],[7,39],2,4,6],
4472[4,['D'],[5,40,8],2,3,6],
4473[4,['D'],[5,40,8],3,7,6],
4474[6,['D'],[5,40,8],2,3,6],
4475# class 64:43 of Moufang loops
4476[0,['G'],32,43],
4477[1,['C'],[7,9,11,20],33,6],
4478[1,['C'],[7,20,27,33],4,6],
4479[1,['D'],[23,27,33],3,5,6],
4480[1,['C'],[7,11,2,33],5,6],
4481[1,['D'],[7,20,27],4,33,6],
4482[1,['D'],[7,20,33],2,4,6],
4483[1,['D'],[7,2,33],4,14,6],
4484[1,['D'],[7,20,27],33,36,6],
4485[1,['D'],[23,27,33],3,4,6],
4486[1,['D'],[2,4,6,33],3,5,6],
4487[1,['D'],[7,2,33],4,5,6],
4488[2,['D'],[7,20,27],33,36,6],
4489[2,['D'],[23,27,33],3,5,6],
4490[2,['D'],[7,20,33],2,4,6],
4491[2,['D'],[7,33,34],4,14,6],
4492[2,['D'],[33,34,36],3,5,6],
4493[2,['D'],[23,27,33],3,4,6],
4494[2,['D'],[7,33,34],4,5,6],
4495[3,['D'],[7,20,33],4,5,6],
4496[3,['D'],[4,7,36],5,9,6],
4497[3,['D'],[4,20,36],2,7,6],
4498[3,['D'],[5,17,23],3,33,6],
4499[3,['D'],[4,8,36],3,12,6],
4500[3,['D'],[5,37,41],3,4,6],
4501[3,['D'],[27,41,9],2,3,6],
4502[3,['D'],[4,7,36],2,5,6],
4503[3,['D'],[7,20,36],4,5,6],
4504[3,['D'],[4,20,36],2,3,6],
4505[3,['D'],[4,8,36],3,5,6],
4506[4,['D'],[4,9,36],3,7,6],
4507[4,['D'],[4,11,36],2,9,6],
4508[4,['C'],[4,7,8,36],5,6],
4509[4,['D'],[12,44,3],2,4,6],
4510[4,['D'],[4,11,36],2,5,6],
4511[5,['D'],[5,37,41],4,11,6],
4512[5,['D'],[7,52,20],2,4,6],
4513[7,['D'],[9,27,43],2,3,6],
4514[7,['D'],[43,2,11],3,12,6],
4515[12,['D'],[59,8,12],2,3,6],
4516[14,['D'],[4,9,33],3,7,6],
4517[14,['D'],[4,11,33],2,9,6],
4518[14,['D'],[12,33,35],2,4,6],
4519[14,['D'],[4,11,33],2,5,6],
4520[15,['D'],[9,27,33],2,3,6],
4521[15,['D'],[33,34,49],3,12,6],
4522[19,['D'],[33,40,44],2,3,6]
4523],
4524# order 81
4525[
4526[ 3, 1, 27, 5,
4527"M%eojo4?WT0S)H{KXP=<VsguktU;=25[#,GOZ3K`-~I,<G)O4PsZ6?{X:}>o7y$NeW(z^i`m/?-6-\
4528QJw>86'IY;F`IRnZHaE}mWiV5hI(pr`Hq;j9#L8U=(W+p@{]M{PE%rA,p>a[L5^fZc|xs4Qc#Z3wo<\
4529HYKTNtOg" ],
4530[ 3, 1, 27, 5,
4531"M%eojo4`2%11|5jm4>F+N+(,h*xxiw7U(GxF9*{k)A|1lp_TJdDmgV>qiY:A[,SUQ@^Z~(q&8R/F:\
4532Xx-avt)H^6enpJ%R1T/7r4FnI)~X7hb3}7{,t1Wbn:*9jf6mcTYriVx@.yLVD/dl%'=wm@vIvz#GF{\
4533Y?Ub/-V>" ],
4534[ 3, 1, 27, 5,
4535"M%eojs*^QmOJq@e&mrUgjw_u)G7e-MPR#WGMXka`&Q9{<08p#G`UCvX_pg~:UWbpD99ul93lr7~s{\
4536x6oK/UFTAeWQ^Zu820yrv@>c,)$~v-U_3C/0bK{A@;JSt8-Pt.iabG$BR#DhZF^d's9_9Ak.W02yxA\
4537.sp0.(T[" ],
4538[ 3, 1, 27, 5,
4539"M%eojs*}{@Ei&Ag%E{F{=j$*-vsN0iB'X/fpy^~Snajg/0Q}3*:W+Jhc(J|*:tt(MLn/SvaI`W.,,\
4540vpq5HgMd8E}4gb@UjS.A0R7(`iGc}pb`3lQPBg5K9'4j(%&ghi$C(V|/@_Ukzu'aWV4cWzQGWPr]~;\
4541tK#4{bsF" ],
4542[ 3, 1, 27, 5,
4543"T_^JN3r_P,Pfj{x3+>t0,keL^=FKzpJk?tBQs4*KOR+x2FqJF+}:Z{02goFR0Bx/83/;{OGrW1kXq\
4544dI<NP|w{moU=p^17/Gkr|.V~b=kpzW7@qTe-[]Fao`F|o86L//0ZsMdBo2n`4njk'LXR-4>_'SGalw\
4545[;n+1L[,=;uBd&l" ]
4546],
4547# order 243 (in the same order as on Slattery+Zenisek list)
4548[
4549[ 9, 2, 27, 5,
4550"Jv+VAkF]^3&-k(S(<xPXTJnCv5w&8jm)Xd:kT_#/S0Cr2mdONa4]oLyL9/A})w^0<CJ%DwD/b$knY\
4551=/5Tbv;N,LKm5)C#Ls1}uHQ=cl[jp.GyWY|jc2u>?K2(;pX~(e3-kI0vnO9(sUqZ<>w}P2(djosF=d\
4552>p4L0I*WLwApLc>=_f]$rn-=?J;fNv=xyM;aa>LGDDb9XfJ&Gl:~SPb<MiE-@ky;j$`7qA-xh)GFV.\
4553B$qI:(D't/tDzXA^2}g&Q52O8~a`Lf&e7BY&S$Gb*57rbB692-Ry^jO8^iSi0+Aw{vNqi=<^CT5A6F\
4554/R}4=<n<6F8xR`n^`AzrUi%PFs?1," ],
4555[ 9, 1, 27, 5,
4556"9/ZFo)rf{lW@)>M&&L=@f53UV^*S#)zo{uv)NU]1,Le6Ah9kae+&1/&%PA~#)i]ahXFqqcFxv)F+}\
4557,4d'n}PF$9vApFNSg/^ShKcMkv6t{rW;NYx>i]AJ=3/^ac9|~KeXk(]}v5Im4koprpD3D;qZfP3T9]\
4558UOvYO'Sfos_r7BoMf]msK0K$R$u.EG#-Gj/$3TF@qnF.+iy-eel2UqZtNj|LP}r=KL,eeX>PWWxzCV\
4559>&)YbKEtj`?oF{;jC?4q{wJ)MpL:p{|g>dlu$9<=-QMMc1LA]SMLEZ4H&WB=+tn}~a)s5s4?Xs]_`C\
4560'@fDhB^Lvq$a7qStXTb4@5;=$F6o2" ],
4561[ 9, 2, 27, 5,
4562"Jv+VAkF]^3&-k(S(<xPXTJnCvP)6nfC72fPX'B7yGDyI)'{9'(<M+x>$tuCoX%|i,=VY4?Ls%='PX\
4563cmDNXN-&U}MFVIVywA_rQE(yOWA)qt{X~h_}oxYJQT'WP4HYDLg3?2#Ukcz$<m96F69YEmeFs]xv09\
4564IuI~SFFMOiZ`<@oHbnwbfQ1Sh~PnyiG|zYs?VUG4=;lva2ci[Sa2`+,KD}?gBH::`YAbGy|R4vcH?C\
4565|L>&Se2mpQvWhLQ/Hz1JZuqY<CmD,J^`}z<%_]&qoE|QCkvc,i3*g2S7+'h`'aQsG,e~ua_HCu->0O\
4566zk+2'rJ,78XlIV3E*UpmWz?1enI5W" ],
4567[ 9, 1, 27, 5,
4568"9/ZFo)rf{lW@)>M&&L=@f53UWX_.V:r|/:352h9Q~~g1F:(9bFeeO2df]K)6Mzvb1*$^^@G.>w]@l\
4569Ma1r;cM}-A5r^|TsZ~M&MHf[YHax8mCF}@*P~F:>.e_V@G|@%h^TIg7mZ>Vn9WgsQ}9?AZLEDzcc]T\
4570cD)$pW>/GS/+JTGktlkZ?,hy+e&T2%fU|DM'g=m/a&DBF+Y=(<d,HUbPp$XVHbF;A(L(h*3N=Y~gU$\
4571M']-(tK|vpJ)`E/f~LRMb)WOhQJQh&2y%gA.^uFIR%Ri_KlzF@dlj9Wvt]6a1rrz@{|vp)3h7=)jU=\
4572>)7DN}vL.*OL<BPJB^IsK0by`PG=D" ],
4573[ 9, 2, 27, 5,
4574"Jv+VAkF]^3&-k(S(<xPXTJnCv5w&8<eW<i2e#lPj|+[}imsu^e9FH0Z^&zjAp4g'U/.,@}WU{3o,g\
4575<W1>fZ1RS=}@p:)IjhDP#f08h,=#q98Bg{li_xf'8Tr3w>W;p)Ad%z#WY-T;Ojb4LVN:6|d3&o@v`*\
4576[f]bhcq9'(XyT_V-$OaF<A%v3q-*mqwAg)MtM~?=~}/)Rf*aH3-[~[lny<)wYMcQX?AB2vYBAZf]WA\
4577iYX=Tt/yL@L4_Am|>?BV}[:C2l/a9S8E-p02|?s3y]qXl%|PR3.7s8XC`r8bHDjf~i}Js:)^I@A<$0\
4578dAn1X{$>Wy@]ZU:t@pjP}w_g@g,$E" ],
4579[ 9, 2, 27, 5,
4580"Jv+VAkF]^3&-k(S(<xPXTJnCvP)6n.3'}yus+]M62%+dlm[^AyLdi9.xudL`CveZ+/QjN7ZkS?e3?\
45812B=qm{,3O))B{.uf#CY&a{v%|.5*#m7|R<z5(o6_l6T,VAg@oWNbKl~F6_`UxTr)Xh#SB0;UfEWA#y\
45825^[768[>{}pm,F'unDWT^u5N6TCmA_7'ToM9PX{=jc]>9[[;8:l8IZEoU}kM7('8rr#B=7:<OyAz5q\
4583?#lseZ}N/34&S2?`mcZ9zhsEF`_=rocJz`q;Rn#`bY(R`+TcX/6z,grF=W@LYhEv<Vz{vBOz#4#]d5\
4584EWs#l/&G-mb1R8^chcaYG]HUSea>'" ],
4585[ 9, 2, 27, 5,
4586"Jv+VAkF]^3&-k(S(<xPXTJnCv7=bT:7sy[g|tKKwU=SmNlYxF3XP0.nFQ{U>v<)xjtXIoepU_0>h;\
4587w*4|WTrjj%<R7+i2#`_Vb|04i?wcMglqYMoT#p1c&F6x{+|6_anV_f3QKg=>+eH(2w{A5A*]>%@*N-\
45881{>%5HGbFw'h]DU:KjDP9SDzbH4sf;qU,V,s/'6Nz(+]4=K4*vnV+zI@qxNm'8|oRP[+;l#j@suCe+\
4589%X>14qAp{ta1/6U'q/|~S-~&ulkMP+nPmBokj^9k/+A5M%<~d|;Wcj2HWk/dIT##/#bxr09#`|782'\
4590)?=t^L1NDCs345W+HZ=Wfo[pA9;ys" ],
4591[ 9, 1, 27, 5,
4592"9/ZFo)rf{lW@)>M&&L=@f53UV}H}BeKfZ1Ek(+#{DohSP;q32l*.EWNC|uS$wj)PwXx&ST>G~3L%8\
4593QxWV~QE`D9:1gH=$7Ah)B:{20r<w8L6PmP{*+yr*4:IT'wOc*_I[G,[?W0`zv8v(D_vsV]CG{JEI5~\
4594nb0B0^WARCc_2+@@a>pJ9}g2;edBA8jYJ~_GAixvEKj?{[2E3fT?-/.N'B8yM+WE[,9M.)U+?r9X+/\
4595SZwO%z<q7l#]]`}fwBp*+JN`LZD1jTpOK}5.4qq:U$^Q-*b4>CnQW-3BELsT{4h/)OTzkWHaa+D8W;\
4596LL(%Q$z^Ti4=a{=Y[URe9}z`K@v^;" ],
4597[ 9, 2, 27, 5,
4598"Jv+VAkF]^3&-k(S(<xPXTJnCv7=bUF~JI}E#KG=B]$3FS$LlYMhBc4:pwmCt28C}arvlRtSr8S4v<\
4599v6T>veuI6=D;HxmwLVika<2NJ1/b-/ah46[qus24bZl`G~ZHaq$S;Y(s/{Kc2?i]7czA{u749|=_IM\
4600-(</cAjy$$k[@CPH@Q-LmSE~+0#1hmSaT5K'rQ,bSJ5LvzVonF#w)]86.L~[|D5Wa'@f$_=#BjoKYH\
4601LB1P#6oBn=r}<z}pI^Tlk[AIQ)%Y[zYv8yL^pe~sQ=2de`KYax)oq{13v@ZI0=cv',Annd4:%u9#8`\
4602^gr`<_1x28`yId:3(W=l32p_a[l{d" ],
4603[ 9, 2, 27, 5,
4604"Jv+VAkF]^3&-`sq$/|Lt9`++~{2V95`.uSWA<Q=ii2:7[c*Y=U#~CEJ9K06zL|.].iq{|;j|_mOFa\
46050:=D+<^f35?=kQ]LaqRJ%wvy(vA$TXA9HEdb?Jzn~~r}ZM79k%MQlP'id/@LQnTbFFwb-o{$L1z6P)\
4606s@Cg(?CAie{dgF*c<*T32CQw`6(Y~g<TJ}+Z3LtFZuQUM@N-8eoN7;a_Ztkwe'|Y'3~S_Bv7Ccq,QP\
4607+JX<~TZm]BN;S$A`8G7J%&SE%^$y0Ory;'H<v_bz>00.I;=5FX'2-BN^~C'j'd1J-k:PK|q/w.NYdo\
4608RLc+Yx_A`E{*4S#U-G|zA<6v(hfR(" ],
4609[ 9, 2, 27, 5,
4610">y$H^p[ck=k7q%rGG5vU$}QSZ=i>#>9kPhAh?9[Izl?W<.w4BDPd2qyMN}&s?5j%vEDjko]DP6P3:\
4611o|0>m3/#}fSqr4:8mFu9i%8u3+'i&P%b.yC{+_kt/P?5%kD,#(uQ1B{~|cUz(SV)f4fLmf+}$zH|TW\
4612Abp.%h-aQY[+c+NiLp~#Ob@i'AFju$6k,,XJiQ,Z.KW'DSXe%f1hFwI>f6(B}:d0t5c788&P1{3&#_\
4613(w$^EN/mr'7*_cm~HPq,xM`^&EOF:?F@DJETR%^$.K:F4[E{cVPHyE3F)Yc]_H9Rz)h,OeaTEzDHrO\
4614QWm/;,]j,m2E3a#F7" ],
4615[ 9, 2, 27, 5,
4616">y$H^p[ck=k7q%rGGbm`H2l+3+yQkb}VvzQ:6(kH(qR`iPyt4Fr]<CY0TN0=@(L6b*R?&O96GiYjs\
4617XsuxYDe5DxL`F=k^w<A|is['Bt8)lV25vVTB$d|%IO9W)3[]?VjdRVs8eBUEpjUJRu}7|.-NT;,8dC\
4618iYwM^u&m^sz9Z4>;$e:}pt7W~FF;-dm-F|HvM5}6C50iZ4}TU%>hc&KIAZiadZx&:,4AZmC|d:juSD\
46199tg.pr4<uIUgOO*e9XIRhXE(,;V]brA;IU9Hb{rS~w?Ifjw{G|kXS%KpI&k}l92g}Xs@,)9OAany|$\
4620@gb:mCuMOSS*D4?W8" ],
4621[ 9, 2, 27, 5,
4622"9/ZFo)rf{lW[vm/,ryc*`#BZUM74Dlg^ZPL>-55CDmITS:>P-z8lOHH[@q8L6Ps8O`G%DM;9wJ8ia\
4623wsxr1@G`0md8>IQJjXIJ7i*)=AajVHj#'=AoZkr(f9i<[L.Q#aAoT6BuPL:d.O,}2gQ%|cMt+'#/LX\
4624mdi9[<z6>um-H8iS32Rz:#p,nZLblDL=<g<z_<n]e8s?Nq.BLcLlH,P2YCZ`GS1){709.{*M>jYy|d\
4625?<)i@]?GjstZ7%Q]JMU5)V=WH2)8jlCt`RpT_P7e#xq3jh%YVm96w6h/k8qZ?6r&n2xrY7`z()yH{'\
4626w'y1_}nKw>TP5,}s*y$)GH|h}aDzI" ],
4627[ 3, 1, 81, 12,
4628"3d{_wKsth&gW#taHNSG'x&^d06t@NfS,eB'2CNI6K]X{Gx/KfNi@=6Bn';|<]RyKqN*C=3OhC*1;o\
4629K{F}DLBE_)Wf2qV`E/sjCjMufQwF;&2MB8-CK=wXb}Bv5vYo:*@V+xaBqNJmtUYk~_I>&#HE.P-IJO\
4630~6#JFDr^|^~A8PPM*ZIC%Iyr_?I=AB(lCGu&(;.,aRUx_~^.lbB<kNw>*{4~T{kqz})VfuO]MX/]GV\
4631^=dYjV1A;YC}tPNneg/hV|y7BFcpI)QQV+uLfqo6e;^Q.Q=3ETrm%)%agHj6.?yC:$wYF9D+Zt6'Rd\
4632'8W{qEAAG3.)g{@uw}4$ec3BHR%tuf9if_n:2M1]}|uP{5QWP}BMK}xiIABkFyuD}Y2v%Xa@VDa_2h\
4633VZfUG$CE|aIyxX;bk?nU{}d%PMM`K^P6`GeBha[Hygr,5zW8CDko/GJ<>8CtN/>?QxJH3[_8DayJT<\
4634D>z*XBWJ,tQnWVbpMb{uM)Z#p25nIm9+(2t5krI4wzm6*P*HIP1/S|:4I~JgT2'gSJ2cA}Mx7{RvSz\
4635xB;Cw#)C&?Lh$mZ8K4sx-Cx9$/@;R/^:Jx1AYD=DUHun(R185zwC$z9$PY2(C)+Y`;U+0b-wFq1Q2@\
4636$uU|DZ,4p6%Z%v8A.:^jm802}ng{dU&Uiec?j1}m87$5@p7#}WdA83ej}*2LiNa,t5[^u.BT5&]ba(\
4637Cg~eYo/|IOsx&Pst.9v^%ZghGB+7+SCDDw%)*w-+F2F,S`Zv_en/iorggNc|&sqXu$1?jmuAb*x[7<\
4638J+k{XsKR}RC>*=-Gn.]EfKwJEl2$NGAl~@ekY>}+.*Slykd__}4Q,GF_l;i>5</MZD:y2I0#_jja_)\
4639BHzC5pOUk@2@@TD|&cL?T.JP)ynl<xszD7n^'x`'(C:`5y|Dt^##:-aStUo9?E>C&)S(/`YGgy4(_=\
4640}KN>x)=dxBK(lC3g]aPr+E[j;$)BFg$sjE.LbJ|chc.BbG:ceA]=`6;94K7KN8AJZaPiX']E^fD@4S\
4641*<CosLKDJdY]u1:[c1aLB?P$|ykkY0,U>WcbJ1LH72L0uTSQOIgzt}~]X[HS?U%]0U*{pjU9HNw<_w\
464265>rs+AVi(ICTsqB.VP`XTjv&+Qhw>8dzj>h94Naz{&uvJGTO2alZGX9{Zx0O9d(J7dPsD3J&J,2,u\
4643=>)E;D)Z+9_^jqKZXZ;0p<&@GD&2XedeO4'{=X,u&Rp|Fy`*8~L[=EIfS`';(9dE'3Vsn>v3Qb$`cp\
464488(775[I>M+K/d2m@-+JpnA[5+qecpO8U&6jZ*Wy^wf{):yto(Z6N{42P')wPt0+H$3^q+vOjq+-{a\
4645KO~)ViAz%8LPK/vrk8fl<{s`skY/2',[~%7W|pEFG*TpEA[xINH:L=YZbMNPuX}[2[Yv;*P29|a(hP\
46460@z(-L;CZyl4446|4f;_D+LzR<ln?.3T;Gv5587'%_@MK[;:uwf=4dEoii{'NRHM7c--KaG<llHnvc\
4647nuPi%&kr-q#5nKuV1cPD?wJbE<n913VQ9>r)N^==4wFg4uu,8rJB1<C]vfjIu9n==A_PM<Vo>9YE" ],
4648[ 3, 1, 81, 12,
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5225[ 3, 1, 81, 15,
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5246[ 3, 1, 81, 15,
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5258*+=Cz55$OaxE(oLf4EF2mzinSPo.;0%J-nhUEV^EPeINBxCpix_Sn|2z8z^lR[O*Jr<K]|><$4zeu&\
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5260$m|D/_<-~g6z42kUjV0;'<~mG.5UW56c~hL7BIM7bPYj8@VQV&Wp'Y04``08qR`VGrqR[k@8g_#t>j\
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5267W0?5uAiC[7*RPd8gD5" ],
5268[ 3, 1, 81, 15,
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5286'y$O:KIx^c&C[=`N4:#_|1kb{8Q~[F83^&0PuXP{p']N/9no|5}O<.f|4](,|GggWykjJqdyj&khPB\
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5289]
5290#end of the loops
5291]
5292];
5293