1Tr_7_O2 := PolycyclicGroup< g1, g2, g3, g4, g5, g6, g7, g8, g9, g10, g11, g12, g13, g14, g15, g16, g17, g18, g19, g20, g21, g22, g23, g24, g25, g26, g27, g28, g29, g30, g31, g32, g33, g34, g35, g36, g37, g38, g39, g40, g41, g42, g43, g44, g45, g46, g47, g48, g49, g50, g51, g52, g53, g54, g55, g56, g57, g58, g59, g60, g61, g62, g63, g64, g65, g66, g67, g68, g69, g70, g71, g72, g73, g74, g75, g76, g77 |
2
3    g1^2,
4    g2^2,
5    g3^2,
6    g4^2,
7    g5^2,
8    g6^2,
9    g7^2,
10
11    g2^g1 = g2,
12    g3^g1 = g3,
13    g3^g2 = g3,
14    g4^g1 = g4,
15    g4^g2 = g4,
16    g4^g3 = g4,
17    g5^g1 = g5,
18    g5^g2 = g5,
19    g5^g3 = g5,
20    g5^g4 = g5,
21    g6^g1 = g6,
22    g6^g2 = g6,
23    g6^g3 = g6,
24    g6^g4 = g6,
25    g6^g5 = g6,
26    g7^g1 = g7,
27    g7^g2 = g7,
28    g7^g3 = g7,
29    g7^g4 = g7,
30    g7^g5 = g7,
31    g7^g6 = g7,
32    g8^g1 = g8,
33    g8^g2 = g8,
34    g8^g3 = g8,
35    g8^g4 = g8,
36    g8^g5 = g8,
37    g8^g6 = g8,
38    g8^g7 = g8,
39    g9^g1 = g9,
40    g9^g2 = g9,
41    g9^g3 = g9,
42    g9^g4 = g9,
43    g9^g5 = g9,
44    g9^g6 = g9,
45    g9^g7 = g9,
46    g9^g8 = g9,
47    g9^g8^-1 = g9,
48    g10^g1 = g10,
49    g10^g2 = g10,
50    g10^g3 = g10,
51    g10^g4 = g10,
52    g10^g5 = g10,
53    g10^g6 = g10,
54    g10^g7 = g10,
55    g10^g8 = g10,
56    g10^g8^-1 = g10,
57    g10^g9 = g10,
58    g10^g9^-1 = g10,
59    g11^g1 = g11,
60    g11^g2 = g11,
61    g11^g3 = g11,
62    g11^g4 = g11,
63    g11^g5 = g11,
64    g11^g6 = g11,
65    g11^g7 = g11,
66    g11^g8 = g11,
67    g11^g8^-1 = g11,
68    g11^g9 = g11,
69    g11^g9^-1 = g11,
70    g11^g10 = g11,
71    g11^g10^-1 = g11,
72    g12^g1 = g12,
73    g12^g2 = g12,
74    g12^g3 = g12,
75    g12^g4 = g12,
76    g12^g5 = g12,
77    g12^g6 = g12,
78    g12^g7 = g12,
79    g12^g8 = g12,
80    g12^g8^-1 = g12,
81    g12^g9 = g12,
82    g12^g9^-1 = g12,
83    g12^g10 = g12,
84    g12^g10^-1 = g12,
85    g12^g11 = g12,
86    g12^g11^-1 = g12,
87    g13^g1 = g13,
88    g13^g2 = g13,
89    g13^g3 = g13,
90    g13^g4 = g13,
91    g13^g5 = g13,
92    g13^g6 = g13,
93    g13^g7 = g13,
94    g13^g8 = g13,
95    g13^g8^-1 = g13,
96    g13^g9 = g13,
97    g13^g9^-1 = g13,
98    g13^g10 = g13,
99    g13^g10^-1 = g13,
100    g13^g11 = g13,
101    g13^g11^-1 = g13,
102    g13^g12 = g13,
103    g13^g12^-1 = g13,
104    g14^g1 = g14,
105    g14^g2 = g14,
106    g14^g3 = g14,
107    g14^g4 = g14,
108    g14^g5 = g14,
109    g14^g6 = g14,
110    g14^g7 = g14,
111    g14^g8 = g14,
112    g14^g8^-1 = g14,
113    g14^g9 = g14,
114    g14^g9^-1 = g14,
115    g14^g10 = g14,
116    g14^g10^-1 = g14,
117    g14^g11 = g14,
118    g14^g11^-1 = g14,
119    g14^g12 = g14,
120    g14^g12^-1 = g14,
121    g14^g13 = g14,
122    g14^g13^-1 = g14,
123    g15^g1 = g15^-1,
124    g15^g2 = g15^-1,
125    g15^g3 = g15,
126    g15^g4 = g15,
127    g15^g5 = g15,
128    g15^g6 = g15,
129    g15^g7 = g15,
130    g15^g8 = g17^-1,
131    g15^g8^-1 = g15^-2*g16^2*g17^-1,
132    g15^g9 = g15^-2*g16^2*g17^-1,
133    g15^g9^-1 = g17^-1,
134    g15^g10 = g15,
135    g15^g10^-1 = g15,
136    g15^g11 = g15,
137    g15^g11^-1 = g15,
138    g15^g12 = g15,
139    g15^g12^-1 = g15,
140    g15^g13 = g15,
141    g15^g13^-1 = g15,
142    g15^g14 = g15,
143    g15^g14^-1 = g15,
144    g16^g1 = g16^-1,
145    g16^g2 = g16^-1,
146    g16^g3 = g16,
147    g16^g4 = g16,
148    g16^g5 = g16,
149    g16^g6 = g16,
150    g16^g7 = g16,
151    g16^g8 = g15^2*g16*g17^-2,
152    g16^g8^-1 = g15^2*g16^-3*g17^2,
153    g16^g9 = g15^2*g16^-3*g17^2,
154    g16^g9^-1 = g15^2*g16*g17^-2,
155    g16^g10 = g16,
156    g16^g10^-1 = g16,
157    g16^g11 = g16,
158    g16^g11^-1 = g16,
159    g16^g12 = g16,
160    g16^g12^-1 = g16,
161    g16^g13 = g16,
162    g16^g13^-1 = g16,
163    g16^g14 = g16,
164    g16^g14^-1 = g16,
165    g16^g15 = g16,
166    g16^g15^-1 = g16,
167    g17^g1 = g17^-1,
168    g17^g2 = g17^-1,
169    g17^g3 = g17,
170    g17^g4 = g17,
171    g17^g5 = g17,
172    g17^g6 = g17,
173    g17^g7 = g17,
174    g17^g8 = g15^3*g16^2*g17^-2,
175    g17^g8^-1 = g15^-1,
176    g17^g9 = g15^-1,
177    g17^g9^-1 = g15^3*g16^2*g17^-2,
178    g17^g10 = g17,
179    g17^g10^-1 = g17,
180    g17^g11 = g17,
181    g17^g11^-1 = g17,
182    g17^g12 = g17,
183    g17^g12^-1 = g17,
184    g17^g13 = g17,
185    g17^g13^-1 = g17,
186    g17^g14 = g17,
187    g17^g14^-1 = g17,
188    g17^g15 = g17,
189    g17^g15^-1 = g17,
190    g17^g16 = g17,
191    g17^g16^-1 = g17,
192    g18^g1 = g18,
193    g18^g2 = g18^-1,
194    g18^g3 = g18^-1,
195    g18^g4 = g18,
196    g18^g5 = g18,
197    g18^g6 = g18,
198    g18^g7 = g18,
199    g18^g8 = g18,
200    g18^g8^-1 = g18,
201    g18^g9 = g20^-1,
202    g18^g9^-1 = g18^-2*g19^2*g20^-1,
203    g18^g10 = g18^-2*g19^2*g20^-1,
204    g18^g10^-1 = g20^-1,
205    g18^g11 = g18,
206    g18^g11^-1 = g18,
207    g18^g12 = g18,
208    g18^g12^-1 = g18,
209    g18^g13 = g18,
210    g18^g13^-1 = g18,
211    g18^g14 = g18,
212    g18^g14^-1 = g18,
213    g18^g15 = g18*g33,
214    g18^g15^-1 = g18*g33^-1,
215    g18^g16 = g18*g34,
216    g18^g16^-1 = g18*g34^-1,
217    g18^g17 = g18*g35,
218    g18^g17^-1 = g18*g35^-1,
219    g19^g1 = g19,
220    g19^g2 = g19^-1,
221    g19^g3 = g19^-1,
222    g19^g4 = g19,
223    g19^g5 = g19,
224    g19^g6 = g19,
225    g19^g7 = g19,
226    g19^g8 = g19,
227    g19^g8^-1 = g19,
228    g19^g9 = g18^2*g19*g20^-2,
229    g19^g9^-1 = g18^2*g19^-3*g20^2,
230    g19^g10 = g18^2*g19^-3*g20^2,
231    g19^g10^-1 = g18^2*g19*g20^-2,
232    g19^g11 = g19,
233    g19^g11^-1 = g19,
234    g19^g12 = g19,
235    g19^g12^-1 = g19,
236    g19^g13 = g19,
237    g19^g13^-1 = g19,
238    g19^g14 = g19,
239    g19^g14^-1 = g19,
240    g19^g15 = g19*g34,
241    g19^g15^-1 = g19*g34^-1,
242    g19^g16 = g19*g34^-1*g35^2,
243    g19^g16^-1 = g19*g34*g35^-2,
244    g19^g17 = g19*g33^-2*g34^-1*g35^2,
245    g19^g17^-1 = g19*g33^2*g34*g35^-2,
246    g19^g18 = g19,
247    g19^g18^-1 = g19,
248    g20^g1 = g20,
249    g20^g2 = g20^-1,
250    g20^g3 = g20^-1,
251    g20^g4 = g20,
252    g20^g5 = g20,
253    g20^g6 = g20,
254    g20^g7 = g20,
255    g20^g8 = g20,
256    g20^g8^-1 = g20,
257    g20^g9 = g18^3*g19^2*g20^-2,
258    g20^g9^-1 = g18^-1,
259    g20^g10 = g18^-1,
260    g20^g10^-1 = g18^3*g19^2*g20^-2,
261    g20^g11 = g20,
262    g20^g11^-1 = g20,
263    g20^g12 = g20,
264    g20^g12^-1 = g20,
265    g20^g13 = g20,
266    g20^g13^-1 = g20,
267    g20^g14 = g20,
268    g20^g14^-1 = g20,
269    g20^g15 = g20*g35,
270    g20^g15^-1 = g20*g35^-1,
271    g20^g16 = g20*g33^-2*g34^-1*g35^2,
272    g20^g16^-1 = g20*g33^2*g34*g35^-2,
273    g20^g17 = g20*g33^-3*g34^-2*g35^2,
274    g20^g17^-1 = g20*g33^3*g34^2*g35^-2,
275    g20^g18 = g20,
276    g20^g18^-1 = g20,
277    g20^g19 = g20,
278    g20^g19^-1 = g20,
279    g21^g1 = g21,
280    g21^g2 = g21,
281    g21^g3 = g21^-1,
282    g21^g4 = g21^-1,
283    g21^g5 = g21,
284    g21^g6 = g21,
285    g21^g7 = g21,
286    g21^g8 = g21,
287    g21^g8^-1 = g21,
288    g21^g9 = g21,
289    g21^g9^-1 = g21,
290    g21^g10 = g23^-1,
291    g21^g10^-1 = g21^-2*g22^2*g23^-1,
292    g21^g11 = g21^-2*g22^2*g23^-1,
293    g21^g11^-1 = g23^-1,
294    g21^g12 = g21,
295    g21^g12^-1 = g21,
296    g21^g13 = g21,
297    g21^g13^-1 = g21,
298    g21^g14 = g21,
299    g21^g14^-1 = g21,
300    g21^g15 = g21,
301    g21^g15^-1 = g21,
302    g21^g16 = g21,
303    g21^g16^-1 = g21,
304    g21^g17 = g21,
305    g21^g17^-1 = g21,
306    g21^g18 = g21*g36,
307    g21^g18^-1 = g21*g36^-1,
308    g21^g19 = g21*g37,
309    g21^g19^-1 = g21*g37^-1,
310    g21^g20 = g21*g38,
311    g21^g20^-1 = g21*g38^-1,
312    g22^g1 = g22,
313    g22^g2 = g22,
314    g22^g3 = g22^-1,
315    g22^g4 = g22^-1,
316    g22^g5 = g22,
317    g22^g6 = g22,
318    g22^g7 = g22,
319    g22^g8 = g22,
320    g22^g8^-1 = g22,
321    g22^g9 = g22,
322    g22^g9^-1 = g22,
323    g22^g10 = g21^2*g22*g23^-2,
324    g22^g10^-1 = g21^2*g22^-3*g23^2,
325    g22^g11 = g21^2*g22^-3*g23^2,
326    g22^g11^-1 = g21^2*g22*g23^-2,
327    g22^g12 = g22,
328    g22^g12^-1 = g22,
329    g22^g13 = g22,
330    g22^g13^-1 = g22,
331    g22^g14 = g22,
332    g22^g14^-1 = g22,
333    g22^g15 = g22,
334    g22^g15^-1 = g22,
335    g22^g16 = g22,
336    g22^g16^-1 = g22,
337    g22^g17 = g22,
338    g22^g17^-1 = g22,
339    g22^g18 = g22*g37,
340    g22^g18^-1 = g22*g37^-1,
341    g22^g19 = g22*g37^-1*g38^2,
342    g22^g19^-1 = g22*g37*g38^-2,
343    g22^g20 = g22*g36^-2*g37^-1*g38^2,
344    g22^g20^-1 = g22*g36^2*g37*g38^-2,
345    g22^g21 = g22,
346    g22^g21^-1 = g22,
347    g23^g1 = g23,
348    g23^g2 = g23,
349    g23^g3 = g23^-1,
350    g23^g4 = g23^-1,
351    g23^g5 = g23,
352    g23^g6 = g23,
353    g23^g7 = g23,
354    g23^g8 = g23,
355    g23^g8^-1 = g23,
356    g23^g9 = g23,
357    g23^g9^-1 = g23,
358    g23^g10 = g21^3*g22^2*g23^-2,
359    g23^g10^-1 = g21^-1,
360    g23^g11 = g21^-1,
361    g23^g11^-1 = g21^3*g22^2*g23^-2,
362    g23^g12 = g23,
363    g23^g12^-1 = g23,
364    g23^g13 = g23,
365    g23^g13^-1 = g23,
366    g23^g14 = g23,
367    g23^g14^-1 = g23,
368    g23^g15 = g23,
369    g23^g15^-1 = g23,
370    g23^g16 = g23,
371    g23^g16^-1 = g23,
372    g23^g17 = g23,
373    g23^g17^-1 = g23,
374    g23^g18 = g23*g38,
375    g23^g18^-1 = g23*g38^-1,
376    g23^g19 = g23*g36^-2*g37^-1*g38^2,
377    g23^g19^-1 = g23*g36^2*g37*g38^-2,
378    g23^g20 = g23*g36^-3*g37^-2*g38^2,
379    g23^g20^-1 = g23*g36^3*g37^2*g38^-2,
380    g23^g21 = g23,
381    g23^g21^-1 = g23,
382    g23^g22 = g23,
383    g23^g22^-1 = g23,
384    g24^g1 = g24,
385    g24^g2 = g24,
386    g24^g3 = g24,
387    g24^g4 = g24^-1,
388    g24^g5 = g24^-1,
389    g24^g6 = g24,
390    g24^g7 = g24,
391    g24^g8 = g24,
392    g24^g8^-1 = g24,
393    g24^g9 = g24,
394    g24^g9^-1 = g24,
395    g24^g10 = g24,
396    g24^g10^-1 = g24,
397    g24^g11 = g26^-1,
398    g24^g11^-1 = g24^-2*g25^2*g26^-1,
399    g24^g12 = g24^-2*g25^2*g26^-1,
400    g24^g12^-1 = g26^-1,
401    g24^g13 = g24,
402    g24^g13^-1 = g24,
403    g24^g14 = g24,
404    g24^g14^-1 = g24,
405    g24^g15 = g24,
406    g24^g15^-1 = g24,
407    g24^g16 = g24,
408    g24^g16^-1 = g24,
409    g24^g17 = g24,
410    g24^g17^-1 = g24,
411    g24^g18 = g24,
412    g24^g18^-1 = g24,
413    g24^g19 = g24,
414    g24^g19^-1 = g24,
415    g24^g20 = g24,
416    g24^g20^-1 = g24,
417    g24^g21 = g24*g39,
418    g24^g21^-1 = g24*g39^-1,
419    g24^g22 = g24*g40,
420    g24^g22^-1 = g24*g40^-1,
421    g24^g23 = g24*g41,
422    g24^g23^-1 = g24*g41^-1,
423    g25^g1 = g25,
424    g25^g2 = g25,
425    g25^g3 = g25,
426    g25^g4 = g25^-1,
427    g25^g5 = g25^-1,
428    g25^g6 = g25,
429    g25^g7 = g25,
430    g25^g8 = g25,
431    g25^g8^-1 = g25,
432    g25^g9 = g25,
433    g25^g9^-1 = g25,
434    g25^g10 = g25,
435    g25^g10^-1 = g25,
436    g25^g11 = g24^2*g25*g26^-2,
437    g25^g11^-1 = g24^2*g25^-3*g26^2,
438    g25^g12 = g24^2*g25^-3*g26^2,
439    g25^g12^-1 = g24^2*g25*g26^-2,
440    g25^g13 = g25,
441    g25^g13^-1 = g25,
442    g25^g14 = g25,
443    g25^g14^-1 = g25,
444    g25^g15 = g25,
445    g25^g15^-1 = g25,
446    g25^g16 = g25,
447    g25^g16^-1 = g25,
448    g25^g17 = g25,
449    g25^g17^-1 = g25,
450    g25^g18 = g25,
451    g25^g18^-1 = g25,
452    g25^g19 = g25,
453    g25^g19^-1 = g25,
454    g25^g20 = g25,
455    g25^g20^-1 = g25,
456    g25^g21 = g25*g40,
457    g25^g21^-1 = g25*g40^-1,
458    g25^g22 = g25*g40^-1*g41^2,
459    g25^g22^-1 = g25*g40*g41^-2,
460    g25^g23 = g25*g39^-2*g40^-1*g41^2,
461    g25^g23^-1 = g25*g39^2*g40*g41^-2,
462    g25^g24 = g25,
463    g25^g24^-1 = g25,
464    g26^g1 = g26,
465    g26^g2 = g26,
466    g26^g3 = g26,
467    g26^g4 = g26^-1,
468    g26^g5 = g26^-1,
469    g26^g6 = g26,
470    g26^g7 = g26,
471    g26^g8 = g26,
472    g26^g8^-1 = g26,
473    g26^g9 = g26,
474    g26^g9^-1 = g26,
475    g26^g10 = g26,
476    g26^g10^-1 = g26,
477    g26^g11 = g24^3*g25^2*g26^-2,
478    g26^g11^-1 = g24^-1,
479    g26^g12 = g24^-1,
480    g26^g12^-1 = g24^3*g25^2*g26^-2,
481    g26^g13 = g26,
482    g26^g13^-1 = g26,
483    g26^g14 = g26,
484    g26^g14^-1 = g26,
485    g26^g15 = g26,
486    g26^g15^-1 = g26,
487    g26^g16 = g26,
488    g26^g16^-1 = g26,
489    g26^g17 = g26,
490    g26^g17^-1 = g26,
491    g26^g18 = g26,
492    g26^g18^-1 = g26,
493    g26^g19 = g26,
494    g26^g19^-1 = g26,
495    g26^g20 = g26,
496    g26^g20^-1 = g26,
497    g26^g21 = g26*g41,
498    g26^g21^-1 = g26*g41^-1,
499    g26^g22 = g26*g39^-2*g40^-1*g41^2,
500    g26^g22^-1 = g26*g39^2*g40*g41^-2,
501    g26^g23 = g26*g39^-3*g40^-2*g41^2,
502    g26^g23^-1 = g26*g39^3*g40^2*g41^-2,
503    g26^g24 = g26,
504    g26^g24^-1 = g26,
505    g26^g25 = g26,
506    g26^g25^-1 = g26,
507    g27^g1 = g27,
508    g27^g2 = g27,
509    g27^g3 = g27,
510    g27^g4 = g27,
511    g27^g5 = g27^-1,
512    g27^g6 = g27^-1,
513    g27^g7 = g27,
514    g27^g8 = g27,
515    g27^g8^-1 = g27,
516    g27^g9 = g27,
517    g27^g9^-1 = g27,
518    g27^g10 = g27,
519    g27^g10^-1 = g27,
520    g27^g11 = g27,
521    g27^g11^-1 = g27,
522    g27^g12 = g29^-1,
523    g27^g12^-1 = g27^-2*g28^2*g29^-1,
524    g27^g13 = g27^-2*g28^2*g29^-1,
525    g27^g13^-1 = g29^-1,
526    g27^g14 = g27,
527    g27^g14^-1 = g27,
528    g27^g15 = g27,
529    g27^g15^-1 = g27,
530    g27^g16 = g27,
531    g27^g16^-1 = g27,
532    g27^g17 = g27,
533    g27^g17^-1 = g27,
534    g27^g18 = g27,
535    g27^g18^-1 = g27,
536    g27^g19 = g27,
537    g27^g19^-1 = g27,
538    g27^g20 = g27,
539    g27^g20^-1 = g27,
540    g27^g21 = g27,
541    g27^g21^-1 = g27,
542    g27^g22 = g27,
543    g27^g22^-1 = g27,
544    g27^g23 = g27,
545    g27^g23^-1 = g27,
546    g27^g24 = g27*g42,
547    g27^g24^-1 = g27*g42^-1,
548    g27^g25 = g27*g43,
549    g27^g25^-1 = g27*g43^-1,
550    g27^g26 = g27*g44,
551    g27^g26^-1 = g27*g44^-1,
552    g28^g1 = g28,
553    g28^g2 = g28,
554    g28^g3 = g28,
555    g28^g4 = g28,
556    g28^g5 = g28^-1,
557    g28^g6 = g28^-1,
558    g28^g7 = g28,
559    g28^g8 = g28,
560    g28^g8^-1 = g28,
561    g28^g9 = g28,
562    g28^g9^-1 = g28,
563    g28^g10 = g28,
564    g28^g10^-1 = g28,
565    g28^g11 = g28,
566    g28^g11^-1 = g28,
567    g28^g12 = g27^2*g28*g29^-2,
568    g28^g12^-1 = g27^2*g28^-3*g29^2,
569    g28^g13 = g27^2*g28^-3*g29^2,
570    g28^g13^-1 = g27^2*g28*g29^-2,
571    g28^g14 = g28,
572    g28^g14^-1 = g28,
573    g28^g15 = g28,
574    g28^g15^-1 = g28,
575    g28^g16 = g28,
576    g28^g16^-1 = g28,
577    g28^g17 = g28,
578    g28^g17^-1 = g28,
579    g28^g18 = g28,
580    g28^g18^-1 = g28,
581    g28^g19 = g28,
582    g28^g19^-1 = g28,
583    g28^g20 = g28,
584    g28^g20^-1 = g28,
585    g28^g21 = g28,
586    g28^g21^-1 = g28,
587    g28^g22 = g28,
588    g28^g22^-1 = g28,
589    g28^g23 = g28,
590    g28^g23^-1 = g28,
591    g28^g24 = g28*g43,
592    g28^g24^-1 = g28*g43^-1,
593    g28^g25 = g28*g43^-1*g44^2,
594    g28^g25^-1 = g28*g43*g44^-2,
595    g28^g26 = g28*g42^-2*g43^-1*g44^2,
596    g28^g26^-1 = g28*g42^2*g43*g44^-2,
597    g28^g27 = g28,
598    g28^g27^-1 = g28,
599    g29^g1 = g29,
600    g29^g2 = g29,
601    g29^g3 = g29,
602    g29^g4 = g29,
603    g29^g5 = g29^-1,
604    g29^g6 = g29^-1,
605    g29^g7 = g29,
606    g29^g8 = g29,
607    g29^g8^-1 = g29,
608    g29^g9 = g29,
609    g29^g9^-1 = g29,
610    g29^g10 = g29,
611    g29^g10^-1 = g29,
612    g29^g11 = g29,
613    g29^g11^-1 = g29,
614    g29^g12 = g27^3*g28^2*g29^-2,
615    g29^g12^-1 = g27^-1,
616    g29^g13 = g27^-1,
617    g29^g13^-1 = g27^3*g28^2*g29^-2,
618    g29^g14 = g29,
619    g29^g14^-1 = g29,
620    g29^g15 = g29,
621    g29^g15^-1 = g29,
622    g29^g16 = g29,
623    g29^g16^-1 = g29,
624    g29^g17 = g29,
625    g29^g17^-1 = g29,
626    g29^g18 = g29,
627    g29^g18^-1 = g29,
628    g29^g19 = g29,
629    g29^g19^-1 = g29,
630    g29^g20 = g29,
631    g29^g20^-1 = g29,
632    g29^g21 = g29,
633    g29^g21^-1 = g29,
634    g29^g22 = g29,
635    g29^g22^-1 = g29,
636    g29^g23 = g29,
637    g29^g23^-1 = g29,
638    g29^g24 = g29*g44,
639    g29^g24^-1 = g29*g44^-1,
640    g29^g25 = g29*g42^-2*g43^-1*g44^2,
641    g29^g25^-1 = g29*g42^2*g43*g44^-2,
642    g29^g26 = g29*g42^-3*g43^-2*g44^2,
643    g29^g26^-1 = g29*g42^3*g43^2*g44^-2,
644    g29^g27 = g29,
645    g29^g27^-1 = g29,
646    g29^g28 = g29,
647    g29^g28^-1 = g29,
648    g30^g1 = g30,
649    g30^g2 = g30,
650    g30^g3 = g30,
651    g30^g4 = g30,
652    g30^g5 = g30,
653    g30^g6 = g30^-1,
654    g30^g7 = g30^-1,
655    g30^g8 = g30,
656    g30^g8^-1 = g30,
657    g30^g9 = g30,
658    g30^g9^-1 = g30,
659    g30^g10 = g30,
660    g30^g10^-1 = g30,
661    g30^g11 = g30,
662    g30^g11^-1 = g30,
663    g30^g12 = g30,
664    g30^g12^-1 = g30,
665    g30^g13 = g32^-1,
666    g30^g13^-1 = g30^-2*g31^2*g32^-1,
667    g30^g14 = g30^-2*g31^2*g32^-1,
668    g30^g14^-1 = g32^-1,
669    g30^g15 = g30,
670    g30^g15^-1 = g30,
671    g30^g16 = g30,
672    g30^g16^-1 = g30,
673    g30^g17 = g30,
674    g30^g17^-1 = g30,
675    g30^g18 = g30,
676    g30^g18^-1 = g30,
677    g30^g19 = g30,
678    g30^g19^-1 = g30,
679    g30^g20 = g30,
680    g30^g20^-1 = g30,
681    g30^g21 = g30,
682    g30^g21^-1 = g30,
683    g30^g22 = g30,
684    g30^g22^-1 = g30,
685    g30^g23 = g30,
686    g30^g23^-1 = g30,
687    g30^g24 = g30,
688    g30^g24^-1 = g30,
689    g30^g25 = g30,
690    g30^g25^-1 = g30,
691    g30^g26 = g30,
692    g30^g26^-1 = g30,
693    g30^g27 = g30*g45,
694    g30^g27^-1 = g30*g45^-1,
695    g30^g28 = g30*g46,
696    g30^g28^-1 = g30*g46^-1,
697    g30^g29 = g30*g47,
698    g30^g29^-1 = g30*g47^-1,
699    g31^g1 = g31,
700    g31^g2 = g31,
701    g31^g3 = g31,
702    g31^g4 = g31,
703    g31^g5 = g31,
704    g31^g6 = g31^-1,
705    g31^g7 = g31^-1,
706    g31^g8 = g31,
707    g31^g8^-1 = g31,
708    g31^g9 = g31,
709    g31^g9^-1 = g31,
710    g31^g10 = g31,
711    g31^g10^-1 = g31,
712    g31^g11 = g31,
713    g31^g11^-1 = g31,
714    g31^g12 = g31,
715    g31^g12^-1 = g31,
716    g31^g13 = g30^2*g31*g32^-2,
717    g31^g13^-1 = g30^2*g31^-3*g32^2,
718    g31^g14 = g30^2*g31^-3*g32^2,
719    g31^g14^-1 = g30^2*g31*g32^-2,
720    g31^g15 = g31,
721    g31^g15^-1 = g31,
722    g31^g16 = g31,
723    g31^g16^-1 = g31,
724    g31^g17 = g31,
725    g31^g17^-1 = g31,
726    g31^g18 = g31,
727    g31^g18^-1 = g31,
728    g31^g19 = g31,
729    g31^g19^-1 = g31,
730    g31^g20 = g31,
731    g31^g20^-1 = g31,
732    g31^g21 = g31,
733    g31^g21^-1 = g31,
734    g31^g22 = g31,
735    g31^g22^-1 = g31,
736    g31^g23 = g31,
737    g31^g23^-1 = g31,
738    g31^g24 = g31,
739    g31^g24^-1 = g31,
740    g31^g25 = g31,
741    g31^g25^-1 = g31,
742    g31^g26 = g31,
743    g31^g26^-1 = g31,
744    g31^g27 = g31*g46,
745    g31^g27^-1 = g31*g46^-1,
746    g31^g28 = g31*g46^-1*g47^2,
747    g31^g28^-1 = g31*g46*g47^-2,
748    g31^g29 = g31*g45^-2*g46^-1*g47^2,
749    g31^g29^-1 = g31*g45^2*g46*g47^-2,
750    g31^g30 = g31,
751    g31^g30^-1 = g31,
752    g32^g1 = g32,
753    g32^g2 = g32,
754    g32^g3 = g32,
755    g32^g4 = g32,
756    g32^g5 = g32,
757    g32^g6 = g32^-1,
758    g32^g7 = g32^-1,
759    g32^g8 = g32,
760    g32^g8^-1 = g32,
761    g32^g9 = g32,
762    g32^g9^-1 = g32,
763    g32^g10 = g32,
764    g32^g10^-1 = g32,
765    g32^g11 = g32,
766    g32^g11^-1 = g32,
767    g32^g12 = g32,
768    g32^g12^-1 = g32,
769    g32^g13 = g30^3*g31^2*g32^-2,
770    g32^g13^-1 = g30^-1,
771    g32^g14 = g30^-1,
772    g32^g14^-1 = g30^3*g31^2*g32^-2,
773    g32^g15 = g32,
774    g32^g15^-1 = g32,
775    g32^g16 = g32,
776    g32^g16^-1 = g32,
777    g32^g17 = g32,
778    g32^g17^-1 = g32,
779    g32^g18 = g32,
780    g32^g18^-1 = g32,
781    g32^g19 = g32,
782    g32^g19^-1 = g32,
783    g32^g20 = g32,
784    g32^g20^-1 = g32,
785    g32^g21 = g32,
786    g32^g21^-1 = g32,
787    g32^g22 = g32,
788    g32^g22^-1 = g32,
789    g32^g23 = g32,
790    g32^g23^-1 = g32,
791    g32^g24 = g32,
792    g32^g24^-1 = g32,
793    g32^g25 = g32,
794    g32^g25^-1 = g32,
795    g32^g26 = g32,
796    g32^g26^-1 = g32,
797    g32^g27 = g32*g47,
798    g32^g27^-1 = g32*g47^-1,
799    g32^g28 = g32*g45^-2*g46^-1*g47^2,
800    g32^g28^-1 = g32*g45^2*g46*g47^-2,
801    g32^g29 = g32*g45^-3*g46^-2*g47^2,
802    g32^g29^-1 = g32*g45^3*g46^2*g47^-2,
803    g32^g30 = g32,
804    g32^g30^-1 = g32,
805    g32^g31 = g32,
806    g32^g31^-1 = g32,
807    g33^g1 = g33^-1,
808    g33^g2 = g33,
809    g33^g3 = g33^-1,
810    g33^g4 = g33,
811    g33^g5 = g33,
812    g33^g6 = g33,
813    g33^g7 = g33,
814    g33^g8 = g35^-1,
815    g33^g8^-1 = g33^-2*g34^2*g35^-1,
816    g33^g9 = g33,
817    g33^g9^-1 = g33,
818    g33^g10 = g33^-2*g34^2*g35^-1,
819    g33^g10^-1 = g35^-1,
820    g33^g11 = g33,
821    g33^g11^-1 = g33,
822    g33^g12 = g33,
823    g33^g12^-1 = g33,
824    g33^g13 = g33,
825    g33^g13^-1 = g33,
826    g33^g14 = g33,
827    g33^g14^-1 = g33,
828    g33^g15 = g33,
829    g33^g15^-1 = g33,
830    g33^g16 = g33,
831    g33^g16^-1 = g33,
832    g33^g17 = g33,
833    g33^g17^-1 = g33,
834    g33^g18 = g33,
835    g33^g18^-1 = g33,
836    g33^g19 = g33,
837    g33^g19^-1 = g33,
838    g33^g20 = g33,
839    g33^g20^-1 = g33,
840    g33^g21 = g33*g48^-1,
841    g33^g21^-1 = g33*g48,
842    g33^g22 = g33*g49^-1,
843    g33^g22^-1 = g33*g49,
844    g33^g23 = g33*g50^-1,
845    g33^g23^-1 = g33*g50,
846    g33^g24 = g33,
847    g33^g24^-1 = g33,
848    g33^g25 = g33,
849    g33^g25^-1 = g33,
850    g33^g26 = g33,
851    g33^g26^-1 = g33,
852    g33^g27 = g33,
853    g33^g27^-1 = g33,
854    g33^g28 = g33,
855    g33^g28^-1 = g33,
856    g33^g29 = g33,
857    g33^g29^-1 = g33,
858    g33^g30 = g33,
859    g33^g30^-1 = g33,
860    g33^g31 = g33,
861    g33^g31^-1 = g33,
862    g33^g32 = g33,
863    g33^g32^-1 = g33,
864    g34^g1 = g34^-1,
865    g34^g2 = g34,
866    g34^g3 = g34^-1,
867    g34^g4 = g34,
868    g34^g5 = g34,
869    g34^g6 = g34,
870    g34^g7 = g34,
871    g34^g8 = g33^2*g34*g35^-2,
872    g34^g8^-1 = g33^2*g34^-3*g35^2,
873    g34^g9 = g34,
874    g34^g9^-1 = g34,
875    g34^g10 = g33^2*g34^-3*g35^2,
876    g34^g10^-1 = g33^2*g34*g35^-2,
877    g34^g11 = g34,
878    g34^g11^-1 = g34,
879    g34^g12 = g34,
880    g34^g12^-1 = g34,
881    g34^g13 = g34,
882    g34^g13^-1 = g34,
883    g34^g14 = g34,
884    g34^g14^-1 = g34,
885    g34^g15 = g34,
886    g34^g15^-1 = g34,
887    g34^g16 = g34,
888    g34^g16^-1 = g34,
889    g34^g17 = g34,
890    g34^g17^-1 = g34,
891    g34^g18 = g34,
892    g34^g18^-1 = g34,
893    g34^g19 = g34,
894    g34^g19^-1 = g34,
895    g34^g20 = g34,
896    g34^g20^-1 = g34,
897    g34^g21 = g34*g49^-1,
898    g34^g21^-1 = g34*g49,
899    g34^g22 = g34*g49*g50^-2,
900    g34^g22^-1 = g34*g49^-1*g50^2,
901    g34^g23 = g34*g48^2*g49*g50^-2,
902    g34^g23^-1 = g34*g48^-2*g49^-1*g50^2,
903    g34^g24 = g34,
904    g34^g24^-1 = g34,
905    g34^g25 = g34,
906    g34^g25^-1 = g34,
907    g34^g26 = g34,
908    g34^g26^-1 = g34,
909    g34^g27 = g34,
910    g34^g27^-1 = g34,
911    g34^g28 = g34,
912    g34^g28^-1 = g34,
913    g34^g29 = g34,
914    g34^g29^-1 = g34,
915    g34^g30 = g34,
916    g34^g30^-1 = g34,
917    g34^g31 = g34,
918    g34^g31^-1 = g34,
919    g34^g32 = g34,
920    g34^g32^-1 = g34,
921    g34^g33 = g34,
922    g34^g33^-1 = g34,
923    g35^g1 = g35^-1,
924    g35^g2 = g35,
925    g35^g3 = g35^-1,
926    g35^g4 = g35,
927    g35^g5 = g35,
928    g35^g6 = g35,
929    g35^g7 = g35,
930    g35^g8 = g33^3*g34^2*g35^-2,
931    g35^g8^-1 = g33^-1,
932    g35^g9 = g35,
933    g35^g9^-1 = g35,
934    g35^g10 = g33^-1,
935    g35^g10^-1 = g33^3*g34^2*g35^-2,
936    g35^g11 = g35,
937    g35^g11^-1 = g35,
938    g35^g12 = g35,
939    g35^g12^-1 = g35,
940    g35^g13 = g35,
941    g35^g13^-1 = g35,
942    g35^g14 = g35,
943    g35^g14^-1 = g35,
944    g35^g15 = g35,
945    g35^g15^-1 = g35,
946    g35^g16 = g35,
947    g35^g16^-1 = g35,
948    g35^g17 = g35,
949    g35^g17^-1 = g35,
950    g35^g18 = g35,
951    g35^g18^-1 = g35,
952    g35^g19 = g35,
953    g35^g19^-1 = g35,
954    g35^g20 = g35,
955    g35^g20^-1 = g35,
956    g35^g21 = g35*g50^-1,
957    g35^g21^-1 = g35*g50,
958    g35^g22 = g35*g48^2*g49*g50^-2,
959    g35^g22^-1 = g35*g48^-2*g49^-1*g50^2,
960    g35^g23 = g35*g48^3*g49^2*g50^-2,
961    g35^g23^-1 = g35*g48^-3*g49^-2*g50^2,
962    g35^g24 = g35,
963    g35^g24^-1 = g35,
964    g35^g25 = g35,
965    g35^g25^-1 = g35,
966    g35^g26 = g35,
967    g35^g26^-1 = g35,
968    g35^g27 = g35,
969    g35^g27^-1 = g35,
970    g35^g28 = g35,
971    g35^g28^-1 = g35,
972    g35^g29 = g35,
973    g35^g29^-1 = g35,
974    g35^g30 = g35,
975    g35^g30^-1 = g35,
976    g35^g31 = g35,
977    g35^g31^-1 = g35,
978    g35^g32 = g35,
979    g35^g32^-1 = g35,
980    g35^g33 = g35,
981    g35^g33^-1 = g35,
982    g35^g34 = g35,
983    g35^g34^-1 = g35,
984    g36^g1 = g36,
985    g36^g2 = g36^-1,
986    g36^g3 = g36,
987    g36^g4 = g36^-1,
988    g36^g5 = g36,
989    g36^g6 = g36,
990    g36^g7 = g36,
991    g36^g8 = g36,
992    g36^g8^-1 = g36,
993    g36^g9 = g38^-1,
994    g36^g9^-1 = g36^-2*g37^2*g38^-1,
995    g36^g10 = g36,
996    g36^g10^-1 = g36,
997    g36^g11 = g36^-2*g37^2*g38^-1,
998    g36^g11^-1 = g38^-1,
999    g36^g12 = g36,
1000    g36^g12^-1 = g36,
1001    g36^g13 = g36,
1002    g36^g13^-1 = g36,
1003    g36^g14 = g36,
1004    g36^g14^-1 = g36,
1005    g36^g15 = g36*g48,
1006    g36^g15^-1 = g36*g48^-1,
1007    g36^g16 = g36*g49,
1008    g36^g16^-1 = g36*g49^-1,
1009    g36^g17 = g36*g50,
1010    g36^g17^-1 = g36*g50^-1,
1011    g36^g18 = g36,
1012    g36^g18^-1 = g36,
1013    g36^g19 = g36,
1014    g36^g19^-1 = g36,
1015    g36^g20 = g36,
1016    g36^g20^-1 = g36,
1017    g36^g21 = g36,
1018    g36^g21^-1 = g36,
1019    g36^g22 = g36,
1020    g36^g22^-1 = g36,
1021    g36^g23 = g36,
1022    g36^g23^-1 = g36,
1023    g36^g24 = g36*g51^-1,
1024    g36^g24^-1 = g36*g51,
1025    g36^g25 = g36*g52^-1,
1026    g36^g25^-1 = g36*g52,
1027    g36^g26 = g36*g53^-1,
1028    g36^g26^-1 = g36*g53,
1029    g36^g27 = g36,
1030    g36^g27^-1 = g36,
1031    g36^g28 = g36,
1032    g36^g28^-1 = g36,
1033    g36^g29 = g36,
1034    g36^g29^-1 = g36,
1035    g36^g30 = g36,
1036    g36^g30^-1 = g36,
1037    g36^g31 = g36,
1038    g36^g31^-1 = g36,
1039    g36^g32 = g36,
1040    g36^g32^-1 = g36,
1041    g36^g33 = g36,
1042    g36^g33^-1 = g36,
1043    g36^g34 = g36,
1044    g36^g34^-1 = g36,
1045    g36^g35 = g36,
1046    g36^g35^-1 = g36,
1047    g37^g1 = g37,
1048    g37^g2 = g37^-1,
1049    g37^g3 = g37,
1050    g37^g4 = g37^-1,
1051    g37^g5 = g37,
1052    g37^g6 = g37,
1053    g37^g7 = g37,
1054    g37^g8 = g37,
1055    g37^g8^-1 = g37,
1056    g37^g9 = g36^2*g37*g38^-2,
1057    g37^g9^-1 = g36^2*g37^-3*g38^2,
1058    g37^g10 = g37,
1059    g37^g10^-1 = g37,
1060    g37^g11 = g36^2*g37^-3*g38^2,
1061    g37^g11^-1 = g36^2*g37*g38^-2,
1062    g37^g12 = g37,
1063    g37^g12^-1 = g37,
1064    g37^g13 = g37,
1065    g37^g13^-1 = g37,
1066    g37^g14 = g37,
1067    g37^g14^-1 = g37,
1068    g37^g15 = g37*g49,
1069    g37^g15^-1 = g37*g49^-1,
1070    g37^g16 = g37*g49^-1*g50^2,
1071    g37^g16^-1 = g37*g49*g50^-2,
1072    g37^g17 = g37*g48^-2*g49^-1*g50^2,
1073    g37^g17^-1 = g37*g48^2*g49*g50^-2,
1074    g37^g18 = g37,
1075    g37^g18^-1 = g37,
1076    g37^g19 = g37,
1077    g37^g19^-1 = g37,
1078    g37^g20 = g37,
1079    g37^g20^-1 = g37,
1080    g37^g21 = g37,
1081    g37^g21^-1 = g37,
1082    g37^g22 = g37,
1083    g37^g22^-1 = g37,
1084    g37^g23 = g37,
1085    g37^g23^-1 = g37,
1086    g37^g24 = g37*g52^-1,
1087    g37^g24^-1 = g37*g52,
1088    g37^g25 = g37*g52*g53^-2,
1089    g37^g25^-1 = g37*g52^-1*g53^2,
1090    g37^g26 = g37*g51^2*g52*g53^-2,
1091    g37^g26^-1 = g37*g51^-2*g52^-1*g53^2,
1092    g37^g27 = g37,
1093    g37^g27^-1 = g37,
1094    g37^g28 = g37,
1095    g37^g28^-1 = g37,
1096    g37^g29 = g37,
1097    g37^g29^-1 = g37,
1098    g37^g30 = g37,
1099    g37^g30^-1 = g37,
1100    g37^g31 = g37,
1101    g37^g31^-1 = g37,
1102    g37^g32 = g37,
1103    g37^g32^-1 = g37,
1104    g37^g33 = g37,
1105    g37^g33^-1 = g37,
1106    g37^g34 = g37,
1107    g37^g34^-1 = g37,
1108    g37^g35 = g37,
1109    g37^g35^-1 = g37,
1110    g37^g36 = g37,
1111    g37^g36^-1 = g37,
1112    g38^g1 = g38,
1113    g38^g2 = g38^-1,
1114    g38^g3 = g38,
1115    g38^g4 = g38^-1,
1116    g38^g5 = g38,
1117    g38^g6 = g38,
1118    g38^g7 = g38,
1119    g38^g8 = g38,
1120    g38^g8^-1 = g38,
1121    g38^g9 = g36^3*g37^2*g38^-2,
1122    g38^g9^-1 = g36^-1,
1123    g38^g10 = g38,
1124    g38^g10^-1 = g38,
1125    g38^g11 = g36^-1,
1126    g38^g11^-1 = g36^3*g37^2*g38^-2,
1127    g38^g12 = g38,
1128    g38^g12^-1 = g38,
1129    g38^g13 = g38,
1130    g38^g13^-1 = g38,
1131    g38^g14 = g38,
1132    g38^g14^-1 = g38,
1133    g38^g15 = g38*g50,
1134    g38^g15^-1 = g38*g50^-1,
1135    g38^g16 = g38*g48^-2*g49^-1*g50^2,
1136    g38^g16^-1 = g38*g48^2*g49*g50^-2,
1137    g38^g17 = g38*g48^-3*g49^-2*g50^2,
1138    g38^g17^-1 = g38*g48^3*g49^2*g50^-2,
1139    g38^g18 = g38,
1140    g38^g18^-1 = g38,
1141    g38^g19 = g38,
1142    g38^g19^-1 = g38,
1143    g38^g20 = g38,
1144    g38^g20^-1 = g38,
1145    g38^g21 = g38,
1146    g38^g21^-1 = g38,
1147    g38^g22 = g38,
1148    g38^g22^-1 = g38,
1149    g38^g23 = g38,
1150    g38^g23^-1 = g38,
1151    g38^g24 = g38*g53^-1,
1152    g38^g24^-1 = g38*g53,
1153    g38^g25 = g38*g51^2*g52*g53^-2,
1154    g38^g25^-1 = g38*g51^-2*g52^-1*g53^2,
1155    g38^g26 = g38*g51^3*g52^2*g53^-2,
1156    g38^g26^-1 = g38*g51^-3*g52^-2*g53^2,
1157    g38^g27 = g38,
1158    g38^g27^-1 = g38,
1159    g38^g28 = g38,
1160    g38^g28^-1 = g38,
1161    g38^g29 = g38,
1162    g38^g29^-1 = g38,
1163    g38^g30 = g38,
1164    g38^g30^-1 = g38,
1165    g38^g31 = g38,
1166    g38^g31^-1 = g38,
1167    g38^g32 = g38,
1168    g38^g32^-1 = g38,
1169    g38^g33 = g38,
1170    g38^g33^-1 = g38,
1171    g38^g34 = g38,
1172    g38^g34^-1 = g38,
1173    g38^g35 = g38,
1174    g38^g35^-1 = g38,
1175    g38^g36 = g38,
1176    g38^g36^-1 = g38,
1177    g38^g37 = g38,
1178    g38^g37^-1 = g38,
1179    g39^g1 = g39,
1180    g39^g2 = g39,
1181    g39^g3 = g39^-1,
1182    g39^g4 = g39,
1183    g39^g5 = g39^-1,
1184    g39^g6 = g39,
1185    g39^g7 = g39,
1186    g39^g8 = g39,
1187    g39^g8^-1 = g39,
1188    g39^g9 = g39,
1189    g39^g9^-1 = g39,
1190    g39^g10 = g41^-1,
1191    g39^g10^-1 = g39^-2*g40^2*g41^-1,
1192    g39^g11 = g39,
1193    g39^g11^-1 = g39,
1194    g39^g12 = g39^-2*g40^2*g41^-1,
1195    g39^g12^-1 = g41^-1,
1196    g39^g13 = g39,
1197    g39^g13^-1 = g39,
1198    g39^g14 = g39,
1199    g39^g14^-1 = g39,
1200    g39^g15 = g39,
1201    g39^g15^-1 = g39,
1202    g39^g16 = g39,
1203    g39^g16^-1 = g39,
1204    g39^g17 = g39,
1205    g39^g17^-1 = g39,
1206    g39^g18 = g39*g51,
1207    g39^g18^-1 = g39*g51^-1,
1208    g39^g19 = g39*g52,
1209    g39^g19^-1 = g39*g52^-1,
1210    g39^g20 = g39*g53,
1211    g39^g20^-1 = g39*g53^-1,
1212    g39^g21 = g39,
1213    g39^g21^-1 = g39,
1214    g39^g22 = g39,
1215    g39^g22^-1 = g39,
1216    g39^g23 = g39,
1217    g39^g23^-1 = g39,
1218    g39^g24 = g39,
1219    g39^g24^-1 = g39,
1220    g39^g25 = g39,
1221    g39^g25^-1 = g39,
1222    g39^g26 = g39,
1223    g39^g26^-1 = g39,
1224    g39^g27 = g39*g54^-1,
1225    g39^g27^-1 = g39*g54,
1226    g39^g28 = g39*g55^-1,
1227    g39^g28^-1 = g39*g55,
1228    g39^g29 = g39*g56^-1,
1229    g39^g29^-1 = g39*g56,
1230    g39^g30 = g39,
1231    g39^g30^-1 = g39,
1232    g39^g31 = g39,
1233    g39^g31^-1 = g39,
1234    g39^g32 = g39,
1235    g39^g32^-1 = g39,
1236    g39^g33 = g39*g60,
1237    g39^g33^-1 = g39*g60^-1,
1238    g39^g34 = g39*g61,
1239    g39^g34^-1 = g39*g61^-1,
1240    g39^g35 = g39*g62,
1241    g39^g35^-1 = g39*g62^-1,
1242    g39^g36 = g39,
1243    g39^g36^-1 = g39,
1244    g39^g37 = g39,
1245    g39^g37^-1 = g39,
1246    g39^g38 = g39,
1247    g39^g38^-1 = g39,
1248    g40^g1 = g40,
1249    g40^g2 = g40,
1250    g40^g3 = g40^-1,
1251    g40^g4 = g40,
1252    g40^g5 = g40^-1,
1253    g40^g6 = g40,
1254    g40^g7 = g40,
1255    g40^g8 = g40,
1256    g40^g8^-1 = g40,
1257    g40^g9 = g40,
1258    g40^g9^-1 = g40,
1259    g40^g10 = g39^2*g40*g41^-2,
1260    g40^g10^-1 = g39^2*g40^-3*g41^2,
1261    g40^g11 = g40,
1262    g40^g11^-1 = g40,
1263    g40^g12 = g39^2*g40^-3*g41^2,
1264    g40^g12^-1 = g39^2*g40*g41^-2,
1265    g40^g13 = g40,
1266    g40^g13^-1 = g40,
1267    g40^g14 = g40,
1268    g40^g14^-1 = g40,
1269    g40^g15 = g40,
1270    g40^g15^-1 = g40,
1271    g40^g16 = g40,
1272    g40^g16^-1 = g40,
1273    g40^g17 = g40,
1274    g40^g17^-1 = g40,
1275    g40^g18 = g40*g52,
1276    g40^g18^-1 = g40*g52^-1,
1277    g40^g19 = g40*g52^-1*g53^2,
1278    g40^g19^-1 = g40*g52*g53^-2,
1279    g40^g20 = g40*g51^-2*g52^-1*g53^2,
1280    g40^g20^-1 = g40*g51^2*g52*g53^-2,
1281    g40^g21 = g40,
1282    g40^g21^-1 = g40,
1283    g40^g22 = g40,
1284    g40^g22^-1 = g40,
1285    g40^g23 = g40,
1286    g40^g23^-1 = g40,
1287    g40^g24 = g40,
1288    g40^g24^-1 = g40,
1289    g40^g25 = g40,
1290    g40^g25^-1 = g40,
1291    g40^g26 = g40,
1292    g40^g26^-1 = g40,
1293    g40^g27 = g40*g55^-1,
1294    g40^g27^-1 = g40*g55,
1295    g40^g28 = g40*g55*g56^-2,
1296    g40^g28^-1 = g40*g55^-1*g56^2,
1297    g40^g29 = g40*g54^2*g55*g56^-2,
1298    g40^g29^-1 = g40*g54^-2*g55^-1*g56^2,
1299    g40^g30 = g40,
1300    g40^g30^-1 = g40,
1301    g40^g31 = g40,
1302    g40^g31^-1 = g40,
1303    g40^g32 = g40,
1304    g40^g32^-1 = g40,
1305    g40^g33 = g40*g61,
1306    g40^g33^-1 = g40*g61^-1,
1307    g40^g34 = g40*g61^-1*g62^2,
1308    g40^g34^-1 = g40*g61*g62^-2,
1309    g40^g35 = g40*g60^-2*g61^-1*g62^2,
1310    g40^g35^-1 = g40*g60^2*g61*g62^-2,
1311    g40^g36 = g40,
1312    g40^g36^-1 = g40,
1313    g40^g37 = g40,
1314    g40^g37^-1 = g40,
1315    g40^g38 = g40,
1316    g40^g38^-1 = g40,
1317    g40^g39 = g40,
1318    g40^g39^-1 = g40,
1319    g41^g1 = g41,
1320    g41^g2 = g41,
1321    g41^g3 = g41^-1,
1322    g41^g4 = g41,
1323    g41^g5 = g41^-1,
1324    g41^g6 = g41,
1325    g41^g7 = g41,
1326    g41^g8 = g41,
1327    g41^g8^-1 = g41,
1328    g41^g9 = g41,
1329    g41^g9^-1 = g41,
1330    g41^g10 = g39^3*g40^2*g41^-2,
1331    g41^g10^-1 = g39^-1,
1332    g41^g11 = g41,
1333    g41^g11^-1 = g41,
1334    g41^g12 = g39^-1,
1335    g41^g12^-1 = g39^3*g40^2*g41^-2,
1336    g41^g13 = g41,
1337    g41^g13^-1 = g41,
1338    g41^g14 = g41,
1339    g41^g14^-1 = g41,
1340    g41^g15 = g41,
1341    g41^g15^-1 = g41,
1342    g41^g16 = g41,
1343    g41^g16^-1 = g41,
1344    g41^g17 = g41,
1345    g41^g17^-1 = g41,
1346    g41^g18 = g41*g53,
1347    g41^g18^-1 = g41*g53^-1,
1348    g41^g19 = g41*g51^-2*g52^-1*g53^2,
1349    g41^g19^-1 = g41*g51^2*g52*g53^-2,
1350    g41^g20 = g41*g51^-3*g52^-2*g53^2,
1351    g41^g20^-1 = g41*g51^3*g52^2*g53^-2,
1352    g41^g21 = g41,
1353    g41^g21^-1 = g41,
1354    g41^g22 = g41,
1355    g41^g22^-1 = g41,
1356    g41^g23 = g41,
1357    g41^g23^-1 = g41,
1358    g41^g24 = g41,
1359    g41^g24^-1 = g41,
1360    g41^g25 = g41,
1361    g41^g25^-1 = g41,
1362    g41^g26 = g41,
1363    g41^g26^-1 = g41,
1364    g41^g27 = g41*g56^-1,
1365    g41^g27^-1 = g41*g56,
1366    g41^g28 = g41*g54^2*g55*g56^-2,
1367    g41^g28^-1 = g41*g54^-2*g55^-1*g56^2,
1368    g41^g29 = g41*g54^3*g55^2*g56^-2,
1369    g41^g29^-1 = g41*g54^-3*g55^-2*g56^2,
1370    g41^g30 = g41,
1371    g41^g30^-1 = g41,
1372    g41^g31 = g41,
1373    g41^g31^-1 = g41,
1374    g41^g32 = g41,
1375    g41^g32^-1 = g41,
1376    g41^g33 = g41*g62,
1377    g41^g33^-1 = g41*g62^-1,
1378    g41^g34 = g41*g60^-2*g61^-1*g62^2,
1379    g41^g34^-1 = g41*g60^2*g61*g62^-2,
1380    g41^g35 = g41*g60^-3*g61^-2*g62^2,
1381    g41^g35^-1 = g41*g60^3*g61^2*g62^-2,
1382    g41^g36 = g41,
1383    g41^g36^-1 = g41,
1384    g41^g37 = g41,
1385    g41^g37^-1 = g41,
1386    g41^g38 = g41,
1387    g41^g38^-1 = g41,
1388    g41^g39 = g41,
1389    g41^g39^-1 = g41,
1390    g41^g40 = g41,
1391    g41^g40^-1 = g41,
1392    g42^g1 = g42,
1393    g42^g2 = g42,
1394    g42^g3 = g42,
1395    g42^g4 = g42^-1,
1396    g42^g5 = g42,
1397    g42^g6 = g42^-1,
1398    g42^g7 = g42,
1399    g42^g8 = g42,
1400    g42^g8^-1 = g42,
1401    g42^g9 = g42,
1402    g42^g9^-1 = g42,
1403    g42^g10 = g42,
1404    g42^g10^-1 = g42,
1405    g42^g11 = g44^-1,
1406    g42^g11^-1 = g42^-2*g43^2*g44^-1,
1407    g42^g12 = g42,
1408    g42^g12^-1 = g42,
1409    g42^g13 = g42^-2*g43^2*g44^-1,
1410    g42^g13^-1 = g44^-1,
1411    g42^g14 = g42,
1412    g42^g14^-1 = g42,
1413    g42^g15 = g42,
1414    g42^g15^-1 = g42,
1415    g42^g16 = g42,
1416    g42^g16^-1 = g42,
1417    g42^g17 = g42,
1418    g42^g17^-1 = g42,
1419    g42^g18 = g42,
1420    g42^g18^-1 = g42,
1421    g42^g19 = g42,
1422    g42^g19^-1 = g42,
1423    g42^g20 = g42,
1424    g42^g20^-1 = g42,
1425    g42^g21 = g42*g54,
1426    g42^g21^-1 = g42*g54^-1,
1427    g42^g22 = g42*g55,
1428    g42^g22^-1 = g42*g55^-1,
1429    g42^g23 = g42*g56,
1430    g42^g23^-1 = g42*g56^-1,
1431    g42^g24 = g42,
1432    g42^g24^-1 = g42,
1433    g42^g25 = g42,
1434    g42^g25^-1 = g42,
1435    g42^g26 = g42,
1436    g42^g26^-1 = g42,
1437    g42^g27 = g42,
1438    g42^g27^-1 = g42,
1439    g42^g28 = g42,
1440    g42^g28^-1 = g42,
1441    g42^g29 = g42,
1442    g42^g29^-1 = g42,
1443    g42^g30 = g42*g57^-1,
1444    g42^g30^-1 = g42*g57,
1445    g42^g31 = g42*g58^-1,
1446    g42^g31^-1 = g42*g58,
1447    g42^g32 = g42*g59^-1,
1448    g42^g32^-1 = g42*g59,
1449    g42^g33 = g42,
1450    g42^g33^-1 = g42,
1451    g42^g34 = g42,
1452    g42^g34^-1 = g42,
1453    g42^g35 = g42,
1454    g42^g35^-1 = g42,
1455    g42^g36 = g42*g63,
1456    g42^g36^-1 = g42*g63^-1,
1457    g42^g37 = g42*g64,
1458    g42^g37^-1 = g42*g64^-1,
1459    g42^g38 = g42*g65,
1460    g42^g38^-1 = g42*g65^-1,
1461    g42^g39 = g42,
1462    g42^g39^-1 = g42,
1463    g42^g40 = g42,
1464    g42^g40^-1 = g42,
1465    g42^g41 = g42,
1466    g42^g41^-1 = g42,
1467    g43^g1 = g43,
1468    g43^g2 = g43,
1469    g43^g3 = g43,
1470    g43^g4 = g43^-1,
1471    g43^g5 = g43,
1472    g43^g6 = g43^-1,
1473    g43^g7 = g43,
1474    g43^g8 = g43,
1475    g43^g8^-1 = g43,
1476    g43^g9 = g43,
1477    g43^g9^-1 = g43,
1478    g43^g10 = g43,
1479    g43^g10^-1 = g43,
1480    g43^g11 = g42^2*g43*g44^-2,
1481    g43^g11^-1 = g42^2*g43^-3*g44^2,
1482    g43^g12 = g43,
1483    g43^g12^-1 = g43,
1484    g43^g13 = g42^2*g43^-3*g44^2,
1485    g43^g13^-1 = g42^2*g43*g44^-2,
1486    g43^g14 = g43,
1487    g43^g14^-1 = g43,
1488    g43^g15 = g43,
1489    g43^g15^-1 = g43,
1490    g43^g16 = g43,
1491    g43^g16^-1 = g43,
1492    g43^g17 = g43,
1493    g43^g17^-1 = g43,
1494    g43^g18 = g43,
1495    g43^g18^-1 = g43,
1496    g43^g19 = g43,
1497    g43^g19^-1 = g43,
1498    g43^g20 = g43,
1499    g43^g20^-1 = g43,
1500    g43^g21 = g43*g55,
1501    g43^g21^-1 = g43*g55^-1,
1502    g43^g22 = g43*g55^-1*g56^2,
1503    g43^g22^-1 = g43*g55*g56^-2,
1504    g43^g23 = g43*g54^-2*g55^-1*g56^2,
1505    g43^g23^-1 = g43*g54^2*g55*g56^-2,
1506    g43^g24 = g43,
1507    g43^g24^-1 = g43,
1508    g43^g25 = g43,
1509    g43^g25^-1 = g43,
1510    g43^g26 = g43,
1511    g43^g26^-1 = g43,
1512    g43^g27 = g43,
1513    g43^g27^-1 = g43,
1514    g43^g28 = g43,
1515    g43^g28^-1 = g43,
1516    g43^g29 = g43,
1517    g43^g29^-1 = g43,
1518    g43^g30 = g43*g58^-1,
1519    g43^g30^-1 = g43*g58,
1520    g43^g31 = g43*g58*g59^-2,
1521    g43^g31^-1 = g43*g58^-1*g59^2,
1522    g43^g32 = g43*g57^2*g58*g59^-2,
1523    g43^g32^-1 = g43*g57^-2*g58^-1*g59^2,
1524    g43^g33 = g43,
1525    g43^g33^-1 = g43,
1526    g43^g34 = g43,
1527    g43^g34^-1 = g43,
1528    g43^g35 = g43,
1529    g43^g35^-1 = g43,
1530    g43^g36 = g43*g64,
1531    g43^g36^-1 = g43*g64^-1,
1532    g43^g37 = g43*g64^-1*g65^2,
1533    g43^g37^-1 = g43*g64*g65^-2,
1534    g43^g38 = g43*g63^-2*g64^-1*g65^2,
1535    g43^g38^-1 = g43*g63^2*g64*g65^-2,
1536    g43^g39 = g43,
1537    g43^g39^-1 = g43,
1538    g43^g40 = g43,
1539    g43^g40^-1 = g43,
1540    g43^g41 = g43,
1541    g43^g41^-1 = g43,
1542    g43^g42 = g43,
1543    g43^g42^-1 = g43,
1544    g44^g1 = g44,
1545    g44^g2 = g44,
1546    g44^g3 = g44,
1547    g44^g4 = g44^-1,
1548    g44^g5 = g44,
1549    g44^g6 = g44^-1,
1550    g44^g7 = g44,
1551    g44^g8 = g44,
1552    g44^g8^-1 = g44,
1553    g44^g9 = g44,
1554    g44^g9^-1 = g44,
1555    g44^g10 = g44,
1556    g44^g10^-1 = g44,
1557    g44^g11 = g42^3*g43^2*g44^-2,
1558    g44^g11^-1 = g42^-1,
1559    g44^g12 = g44,
1560    g44^g12^-1 = g44,
1561    g44^g13 = g42^-1,
1562    g44^g13^-1 = g42^3*g43^2*g44^-2,
1563    g44^g14 = g44,
1564    g44^g14^-1 = g44,
1565    g44^g15 = g44,
1566    g44^g15^-1 = g44,
1567    g44^g16 = g44,
1568    g44^g16^-1 = g44,
1569    g44^g17 = g44,
1570    g44^g17^-1 = g44,
1571    g44^g18 = g44,
1572    g44^g18^-1 = g44,
1573    g44^g19 = g44,
1574    g44^g19^-1 = g44,
1575    g44^g20 = g44,
1576    g44^g20^-1 = g44,
1577    g44^g21 = g44*g56,
1578    g44^g21^-1 = g44*g56^-1,
1579    g44^g22 = g44*g54^-2*g55^-1*g56^2,
1580    g44^g22^-1 = g44*g54^2*g55*g56^-2,
1581    g44^g23 = g44*g54^-3*g55^-2*g56^2,
1582    g44^g23^-1 = g44*g54^3*g55^2*g56^-2,
1583    g44^g24 = g44,
1584    g44^g24^-1 = g44,
1585    g44^g25 = g44,
1586    g44^g25^-1 = g44,
1587    g44^g26 = g44,
1588    g44^g26^-1 = g44,
1589    g44^g27 = g44,
1590    g44^g27^-1 = g44,
1591    g44^g28 = g44,
1592    g44^g28^-1 = g44,
1593    g44^g29 = g44,
1594    g44^g29^-1 = g44,
1595    g44^g30 = g44*g59^-1,
1596    g44^g30^-1 = g44*g59,
1597    g44^g31 = g44*g57^2*g58*g59^-2,
1598    g44^g31^-1 = g44*g57^-2*g58^-1*g59^2,
1599    g44^g32 = g44*g57^3*g58^2*g59^-2,
1600    g44^g32^-1 = g44*g57^-3*g58^-2*g59^2,
1601    g44^g33 = g44,
1602    g44^g33^-1 = g44,
1603    g44^g34 = g44,
1604    g44^g34^-1 = g44,
1605    g44^g35 = g44,
1606    g44^g35^-1 = g44,
1607    g44^g36 = g44*g65,
1608    g44^g36^-1 = g44*g65^-1,
1609    g44^g37 = g44*g63^-2*g64^-1*g65^2,
1610    g44^g37^-1 = g44*g63^2*g64*g65^-2,
1611    g44^g38 = g44*g63^-3*g64^-2*g65^2,
1612    g44^g38^-1 = g44*g63^3*g64^2*g65^-2,
1613    g44^g39 = g44,
1614    g44^g39^-1 = g44,
1615    g44^g40 = g44,
1616    g44^g40^-1 = g44,
1617    g44^g41 = g44,
1618    g44^g41^-1 = g44,
1619    g44^g42 = g44,
1620    g44^g42^-1 = g44,
1621    g44^g43 = g44,
1622    g44^g43^-1 = g44,
1623    g45^g1 = g45,
1624    g45^g2 = g45,
1625    g45^g3 = g45,
1626    g45^g4 = g45,
1627    g45^g5 = g45^-1,
1628    g45^g6 = g45,
1629    g45^g7 = g45^-1,
1630    g45^g8 = g45,
1631    g45^g8^-1 = g45,
1632    g45^g9 = g45,
1633    g45^g9^-1 = g45,
1634    g45^g10 = g45,
1635    g45^g10^-1 = g45,
1636    g45^g11 = g45,
1637    g45^g11^-1 = g45,
1638    g45^g12 = g47^-1,
1639    g45^g12^-1 = g45^-2*g46^2*g47^-1,
1640    g45^g13 = g45,
1641    g45^g13^-1 = g45,
1642    g45^g14 = g45^-2*g46^2*g47^-1,
1643    g45^g14^-1 = g47^-1,
1644    g45^g15 = g45,
1645    g45^g15^-1 = g45,
1646    g45^g16 = g45,
1647    g45^g16^-1 = g45,
1648    g45^g17 = g45,
1649    g45^g17^-1 = g45,
1650    g45^g18 = g45,
1651    g45^g18^-1 = g45,
1652    g45^g19 = g45,
1653    g45^g19^-1 = g45,
1654    g45^g20 = g45,
1655    g45^g20^-1 = g45,
1656    g45^g21 = g45,
1657    g45^g21^-1 = g45,
1658    g45^g22 = g45,
1659    g45^g22^-1 = g45,
1660    g45^g23 = g45,
1661    g45^g23^-1 = g45,
1662    g45^g24 = g45*g57,
1663    g45^g24^-1 = g45*g57^-1,
1664    g45^g25 = g45*g58,
1665    g45^g25^-1 = g45*g58^-1,
1666    g45^g26 = g45*g59,
1667    g45^g26^-1 = g45*g59^-1,
1668    g45^g27 = g45,
1669    g45^g27^-1 = g45,
1670    g45^g28 = g45,
1671    g45^g28^-1 = g45,
1672    g45^g29 = g45,
1673    g45^g29^-1 = g45,
1674    g45^g30 = g45,
1675    g45^g30^-1 = g45,
1676    g45^g31 = g45,
1677    g45^g31^-1 = g45,
1678    g45^g32 = g45,
1679    g45^g32^-1 = g45,
1680    g45^g33 = g45,
1681    g45^g33^-1 = g45,
1682    g45^g34 = g45,
1683    g45^g34^-1 = g45,
1684    g45^g35 = g45,
1685    g45^g35^-1 = g45,
1686    g45^g36 = g45,
1687    g45^g36^-1 = g45,
1688    g45^g37 = g45,
1689    g45^g37^-1 = g45,
1690    g45^g38 = g45,
1691    g45^g38^-1 = g45,
1692    g45^g39 = g45*g66,
1693    g45^g39^-1 = g45*g66^-1,
1694    g45^g40 = g45*g67,
1695    g45^g40^-1 = g45*g67^-1,
1696    g45^g41 = g45*g68,
1697    g45^g41^-1 = g45*g68^-1,
1698    g45^g42 = g45,
1699    g45^g42^-1 = g45,
1700    g45^g43 = g45,
1701    g45^g43^-1 = g45,
1702    g45^g44 = g45,
1703    g45^g44^-1 = g45,
1704    g46^g1 = g46,
1705    g46^g2 = g46,
1706    g46^g3 = g46,
1707    g46^g4 = g46,
1708    g46^g5 = g46^-1,
1709    g46^g6 = g46,
1710    g46^g7 = g46^-1,
1711    g46^g8 = g46,
1712    g46^g8^-1 = g46,
1713    g46^g9 = g46,
1714    g46^g9^-1 = g46,
1715    g46^g10 = g46,
1716    g46^g10^-1 = g46,
1717    g46^g11 = g46,
1718    g46^g11^-1 = g46,
1719    g46^g12 = g45^2*g46*g47^-2,
1720    g46^g12^-1 = g45^2*g46^-3*g47^2,
1721    g46^g13 = g46,
1722    g46^g13^-1 = g46,
1723    g46^g14 = g45^2*g46^-3*g47^2,
1724    g46^g14^-1 = g45^2*g46*g47^-2,
1725    g46^g15 = g46,
1726    g46^g15^-1 = g46,
1727    g46^g16 = g46,
1728    g46^g16^-1 = g46,
1729    g46^g17 = g46,
1730    g46^g17^-1 = g46,
1731    g46^g18 = g46,
1732    g46^g18^-1 = g46,
1733    g46^g19 = g46,
1734    g46^g19^-1 = g46,
1735    g46^g20 = g46,
1736    g46^g20^-1 = g46,
1737    g46^g21 = g46,
1738    g46^g21^-1 = g46,
1739    g46^g22 = g46,
1740    g46^g22^-1 = g46,
1741    g46^g23 = g46,
1742    g46^g23^-1 = g46,
1743    g46^g24 = g46*g58,
1744    g46^g24^-1 = g46*g58^-1,
1745    g46^g25 = g46*g58^-1*g59^2,
1746    g46^g25^-1 = g46*g58*g59^-2,
1747    g46^g26 = g46*g57^-2*g58^-1*g59^2,
1748    g46^g26^-1 = g46*g57^2*g58*g59^-2,
1749    g46^g27 = g46,
1750    g46^g27^-1 = g46,
1751    g46^g28 = g46,
1752    g46^g28^-1 = g46,
1753    g46^g29 = g46,
1754    g46^g29^-1 = g46,
1755    g46^g30 = g46,
1756    g46^g30^-1 = g46,
1757    g46^g31 = g46,
1758    g46^g31^-1 = g46,
1759    g46^g32 = g46,
1760    g46^g32^-1 = g46,
1761    g46^g33 = g46,
1762    g46^g33^-1 = g46,
1763    g46^g34 = g46,
1764    g46^g34^-1 = g46,
1765    g46^g35 = g46,
1766    g46^g35^-1 = g46,
1767    g46^g36 = g46,
1768    g46^g36^-1 = g46,
1769    g46^g37 = g46,
1770    g46^g37^-1 = g46,
1771    g46^g38 = g46,
1772    g46^g38^-1 = g46,
1773    g46^g39 = g46*g67,
1774    g46^g39^-1 = g46*g67^-1,
1775    g46^g40 = g46*g67^-1*g68^2,
1776    g46^g40^-1 = g46*g67*g68^-2,
1777    g46^g41 = g46*g66^-2*g67^-1*g68^2,
1778    g46^g41^-1 = g46*g66^2*g67*g68^-2,
1779    g46^g42 = g46,
1780    g46^g42^-1 = g46,
1781    g46^g43 = g46,
1782    g46^g43^-1 = g46,
1783    g46^g44 = g46,
1784    g46^g44^-1 = g46,
1785    g46^g45 = g46,
1786    g46^g45^-1 = g46,
1787    g47^g1 = g47,
1788    g47^g2 = g47,
1789    g47^g3 = g47,
1790    g47^g4 = g47,
1791    g47^g5 = g47^-1,
1792    g47^g6 = g47,
1793    g47^g7 = g47^-1,
1794    g47^g8 = g47,
1795    g47^g8^-1 = g47,
1796    g47^g9 = g47,
1797    g47^g9^-1 = g47,
1798    g47^g10 = g47,
1799    g47^g10^-1 = g47,
1800    g47^g11 = g47,
1801    g47^g11^-1 = g47,
1802    g47^g12 = g45^3*g46^2*g47^-2,
1803    g47^g12^-1 = g45^-1,
1804    g47^g13 = g47,
1805    g47^g13^-1 = g47,
1806    g47^g14 = g45^-1,
1807    g47^g14^-1 = g45^3*g46^2*g47^-2,
1808    g47^g15 = g47,
1809    g47^g15^-1 = g47,
1810    g47^g16 = g47,
1811    g47^g16^-1 = g47,
1812    g47^g17 = g47,
1813    g47^g17^-1 = g47,
1814    g47^g18 = g47,
1815    g47^g18^-1 = g47,
1816    g47^g19 = g47,
1817    g47^g19^-1 = g47,
1818    g47^g20 = g47,
1819    g47^g20^-1 = g47,
1820    g47^g21 = g47,
1821    g47^g21^-1 = g47,
1822    g47^g22 = g47,
1823    g47^g22^-1 = g47,
1824    g47^g23 = g47,
1825    g47^g23^-1 = g47,
1826    g47^g24 = g47*g59,
1827    g47^g24^-1 = g47*g59^-1,
1828    g47^g25 = g47*g57^-2*g58^-1*g59^2,
1829    g47^g25^-1 = g47*g57^2*g58*g59^-2,
1830    g47^g26 = g47*g57^-3*g58^-2*g59^2,
1831    g47^g26^-1 = g47*g57^3*g58^2*g59^-2,
1832    g47^g27 = g47,
1833    g47^g27^-1 = g47,
1834    g47^g28 = g47,
1835    g47^g28^-1 = g47,
1836    g47^g29 = g47,
1837    g47^g29^-1 = g47,
1838    g47^g30 = g47,
1839    g47^g30^-1 = g47,
1840    g47^g31 = g47,
1841    g47^g31^-1 = g47,
1842    g47^g32 = g47,
1843    g47^g32^-1 = g47,
1844    g47^g33 = g47,
1845    g47^g33^-1 = g47,
1846    g47^g34 = g47,
1847    g47^g34^-1 = g47,
1848    g47^g35 = g47,
1849    g47^g35^-1 = g47,
1850    g47^g36 = g47,
1851    g47^g36^-1 = g47,
1852    g47^g37 = g47,
1853    g47^g37^-1 = g47,
1854    g47^g38 = g47,
1855    g47^g38^-1 = g47,
1856    g47^g39 = g47*g68,
1857    g47^g39^-1 = g47*g68^-1,
1858    g47^g40 = g47*g66^-2*g67^-1*g68^2,
1859    g47^g40^-1 = g47*g66^2*g67*g68^-2,
1860    g47^g41 = g47*g66^-3*g67^-2*g68^2,
1861    g47^g41^-1 = g47*g66^3*g67^2*g68^-2,
1862    g47^g42 = g47,
1863    g47^g42^-1 = g47,
1864    g47^g43 = g47,
1865    g47^g43^-1 = g47,
1866    g47^g44 = g47,
1867    g47^g44^-1 = g47,
1868    g47^g45 = g47,
1869    g47^g45^-1 = g47,
1870    g47^g46 = g47,
1871    g47^g46^-1 = g47,
1872    g48^g1 = g48^-1,
1873    g48^g2 = g48,
1874    g48^g3 = g48,
1875    g48^g4 = g48^-1,
1876    g48^g5 = g48,
1877    g48^g6 = g48,
1878    g48^g7 = g48,
1879    g48^g8 = g50^-1,
1880    g48^g8^-1 = g48^-2*g49^2*g50^-1,
1881    g48^g9 = g48,
1882    g48^g9^-1 = g48,
1883    g48^g10 = g48,
1884    g48^g10^-1 = g48,
1885    g48^g11 = g48^-2*g49^2*g50^-1,
1886    g48^g11^-1 = g50^-1,
1887    g48^g12 = g48,
1888    g48^g12^-1 = g48,
1889    g48^g13 = g48,
1890    g48^g13^-1 = g48,
1891    g48^g14 = g48,
1892    g48^g14^-1 = g48,
1893    g48^g15 = g48,
1894    g48^g15^-1 = g48,
1895    g48^g16 = g48,
1896    g48^g16^-1 = g48,
1897    g48^g17 = g48,
1898    g48^g17^-1 = g48,
1899    g48^g18 = g48,
1900    g48^g18^-1 = g48,
1901    g48^g19 = g48,
1902    g48^g19^-1 = g48,
1903    g48^g20 = g48,
1904    g48^g20^-1 = g48,
1905    g48^g21 = g48,
1906    g48^g21^-1 = g48,
1907    g48^g22 = g48,
1908    g48^g22^-1 = g48,
1909    g48^g23 = g48,
1910    g48^g23^-1 = g48,
1911    g48^g24 = g48*g60^-1,
1912    g48^g24^-1 = g48*g60,
1913    g48^g25 = g48*g61^-1,
1914    g48^g25^-1 = g48*g61,
1915    g48^g26 = g48*g62^-1,
1916    g48^g26^-1 = g48*g62,
1917    g48^g27 = g48,
1918    g48^g27^-1 = g48,
1919    g48^g28 = g48,
1920    g48^g28^-1 = g48,
1921    g48^g29 = g48,
1922    g48^g29^-1 = g48,
1923    g48^g30 = g48,
1924    g48^g30^-1 = g48,
1925    g48^g31 = g48,
1926    g48^g31^-1 = g48,
1927    g48^g32 = g48,
1928    g48^g32^-1 = g48,
1929    g48^g33 = g48,
1930    g48^g33^-1 = g48,
1931    g48^g34 = g48,
1932    g48^g34^-1 = g48,
1933    g48^g35 = g48,
1934    g48^g35^-1 = g48,
1935    g48^g36 = g48,
1936    g48^g36^-1 = g48,
1937    g48^g37 = g48,
1938    g48^g37^-1 = g48,
1939    g48^g38 = g48,
1940    g48^g38^-1 = g48,
1941    g48^g39 = g48,
1942    g48^g39^-1 = g48,
1943    g48^g40 = g48,
1944    g48^g40^-1 = g48,
1945    g48^g41 = g48,
1946    g48^g41^-1 = g48,
1947    g48^g42 = g48*g69^-1,
1948    g48^g42^-1 = g48*g69,
1949    g48^g43 = g48*g70^-1,
1950    g48^g43^-1 = g48*g70,
1951    g48^g44 = g48*g71^-1,
1952    g48^g44^-1 = g48*g71,
1953    g48^g45 = g48,
1954    g48^g45^-1 = g48,
1955    g48^g46 = g48,
1956    g48^g46^-1 = g48,
1957    g48^g47 = g48,
1958    g48^g47^-1 = g48,
1959    g49^g1 = g49^-1,
1960    g49^g2 = g49,
1961    g49^g3 = g49,
1962    g49^g4 = g49^-1,
1963    g49^g5 = g49,
1964    g49^g6 = g49,
1965    g49^g7 = g49,
1966    g49^g8 = g48^2*g49*g50^-2,
1967    g49^g8^-1 = g48^2*g49^-3*g50^2,
1968    g49^g9 = g49,
1969    g49^g9^-1 = g49,
1970    g49^g10 = g49,
1971    g49^g10^-1 = g49,
1972    g49^g11 = g48^2*g49^-3*g50^2,
1973    g49^g11^-1 = g48^2*g49*g50^-2,
1974    g49^g12 = g49,
1975    g49^g12^-1 = g49,
1976    g49^g13 = g49,
1977    g49^g13^-1 = g49,
1978    g49^g14 = g49,
1979    g49^g14^-1 = g49,
1980    g49^g15 = g49,
1981    g49^g15^-1 = g49,
1982    g49^g16 = g49,
1983    g49^g16^-1 = g49,
1984    g49^g17 = g49,
1985    g49^g17^-1 = g49,
1986    g49^g18 = g49,
1987    g49^g18^-1 = g49,
1988    g49^g19 = g49,
1989    g49^g19^-1 = g49,
1990    g49^g20 = g49,
1991    g49^g20^-1 = g49,
1992    g49^g21 = g49,
1993    g49^g21^-1 = g49,
1994    g49^g22 = g49,
1995    g49^g22^-1 = g49,
1996    g49^g23 = g49,
1997    g49^g23^-1 = g49,
1998    g49^g24 = g49*g61^-1,
1999    g49^g24^-1 = g49*g61,
2000    g49^g25 = g49*g61*g62^-2,
2001    g49^g25^-1 = g49*g61^-1*g62^2,
2002    g49^g26 = g49*g60^2*g61*g62^-2,
2003    g49^g26^-1 = g49*g60^-2*g61^-1*g62^2,
2004    g49^g27 = g49,
2005    g49^g27^-1 = g49,
2006    g49^g28 = g49,
2007    g49^g28^-1 = g49,
2008    g49^g29 = g49,
2009    g49^g29^-1 = g49,
2010    g49^g30 = g49,
2011    g49^g30^-1 = g49,
2012    g49^g31 = g49,
2013    g49^g31^-1 = g49,
2014    g49^g32 = g49,
2015    g49^g32^-1 = g49,
2016    g49^g33 = g49,
2017    g49^g33^-1 = g49,
2018    g49^g34 = g49,
2019    g49^g34^-1 = g49,
2020    g49^g35 = g49,
2021    g49^g35^-1 = g49,
2022    g49^g36 = g49,
2023    g49^g36^-1 = g49,
2024    g49^g37 = g49,
2025    g49^g37^-1 = g49,
2026    g49^g38 = g49,
2027    g49^g38^-1 = g49,
2028    g49^g39 = g49,
2029    g49^g39^-1 = g49,
2030    g49^g40 = g49,
2031    g49^g40^-1 = g49,
2032    g49^g41 = g49,
2033    g49^g41^-1 = g49,
2034    g49^g42 = g49*g70^-1,
2035    g49^g42^-1 = g49*g70,
2036    g49^g43 = g49*g70*g71^-2,
2037    g49^g43^-1 = g49*g70^-1*g71^2,
2038    g49^g44 = g49*g69^2*g70*g71^-2,
2039    g49^g44^-1 = g49*g69^-2*g70^-1*g71^2,
2040    g49^g45 = g49,
2041    g49^g45^-1 = g49,
2042    g49^g46 = g49,
2043    g49^g46^-1 = g49,
2044    g49^g47 = g49,
2045    g49^g47^-1 = g49,
2046    g49^g48 = g49,
2047    g49^g48^-1 = g49,
2048    g50^g1 = g50^-1,
2049    g50^g2 = g50,
2050    g50^g3 = g50,
2051    g50^g4 = g50^-1,
2052    g50^g5 = g50,
2053    g50^g6 = g50,
2054    g50^g7 = g50,
2055    g50^g8 = g48^3*g49^2*g50^-2,
2056    g50^g8^-1 = g48^-1,
2057    g50^g9 = g50,
2058    g50^g9^-1 = g50,
2059    g50^g10 = g50,
2060    g50^g10^-1 = g50,
2061    g50^g11 = g48^-1,
2062    g50^g11^-1 = g48^3*g49^2*g50^-2,
2063    g50^g12 = g50,
2064    g50^g12^-1 = g50,
2065    g50^g13 = g50,
2066    g50^g13^-1 = g50,
2067    g50^g14 = g50,
2068    g50^g14^-1 = g50,
2069    g50^g15 = g50,
2070    g50^g15^-1 = g50,
2071    g50^g16 = g50,
2072    g50^g16^-1 = g50,
2073    g50^g17 = g50,
2074    g50^g17^-1 = g50,
2075    g50^g18 = g50,
2076    g50^g18^-1 = g50,
2077    g50^g19 = g50,
2078    g50^g19^-1 = g50,
2079    g50^g20 = g50,
2080    g50^g20^-1 = g50,
2081    g50^g21 = g50,
2082    g50^g21^-1 = g50,
2083    g50^g22 = g50,
2084    g50^g22^-1 = g50,
2085    g50^g23 = g50,
2086    g50^g23^-1 = g50,
2087    g50^g24 = g50*g62^-1,
2088    g50^g24^-1 = g50*g62,
2089    g50^g25 = g50*g60^2*g61*g62^-2,
2090    g50^g25^-1 = g50*g60^-2*g61^-1*g62^2,
2091    g50^g26 = g50*g60^3*g61^2*g62^-2,
2092    g50^g26^-1 = g50*g60^-3*g61^-2*g62^2,
2093    g50^g27 = g50,
2094    g50^g27^-1 = g50,
2095    g50^g28 = g50,
2096    g50^g28^-1 = g50,
2097    g50^g29 = g50,
2098    g50^g29^-1 = g50,
2099    g50^g30 = g50,
2100    g50^g30^-1 = g50,
2101    g50^g31 = g50,
2102    g50^g31^-1 = g50,
2103    g50^g32 = g50,
2104    g50^g32^-1 = g50,
2105    g50^g33 = g50,
2106    g50^g33^-1 = g50,
2107    g50^g34 = g50,
2108    g50^g34^-1 = g50,
2109    g50^g35 = g50,
2110    g50^g35^-1 = g50,
2111    g50^g36 = g50,
2112    g50^g36^-1 = g50,
2113    g50^g37 = g50,
2114    g50^g37^-1 = g50,
2115    g50^g38 = g50,
2116    g50^g38^-1 = g50,
2117    g50^g39 = g50,
2118    g50^g39^-1 = g50,
2119    g50^g40 = g50,
2120    g50^g40^-1 = g50,
2121    g50^g41 = g50,
2122    g50^g41^-1 = g50,
2123    g50^g42 = g50*g71^-1,
2124    g50^g42^-1 = g50*g71,
2125    g50^g43 = g50*g69^2*g70*g71^-2,
2126    g50^g43^-1 = g50*g69^-2*g70^-1*g71^2,
2127    g50^g44 = g50*g69^3*g70^2*g71^-2,
2128    g50^g44^-1 = g50*g69^-3*g70^-2*g71^2,
2129    g50^g45 = g50,
2130    g50^g45^-1 = g50,
2131    g50^g46 = g50,
2132    g50^g46^-1 = g50,
2133    g50^g47 = g50,
2134    g50^g47^-1 = g50,
2135    g50^g48 = g50,
2136    g50^g48^-1 = g50,
2137    g50^g49 = g50,
2138    g50^g49^-1 = g50,
2139    g51^g1 = g51,
2140    g51^g2 = g51^-1,
2141    g51^g3 = g51,
2142    g51^g4 = g51,
2143    g51^g5 = g51^-1,
2144    g51^g6 = g51,
2145    g51^g7 = g51,
2146    g51^g8 = g51,
2147    g51^g8^-1 = g51,
2148    g51^g9 = g53^-1,
2149    g51^g9^-1 = g51^-2*g52^2*g53^-1,
2150    g51^g10 = g51,
2151    g51^g10^-1 = g51,
2152    g51^g11 = g51,
2153    g51^g11^-1 = g51,
2154    g51^g12 = g51^-2*g52^2*g53^-1,
2155    g51^g12^-1 = g53^-1,
2156    g51^g13 = g51,
2157    g51^g13^-1 = g51,
2158    g51^g14 = g51,
2159    g51^g14^-1 = g51,
2160    g51^g15 = g51*g60,
2161    g51^g15^-1 = g51*g60^-1,
2162    g51^g16 = g51*g61,
2163    g51^g16^-1 = g51*g61^-1,
2164    g51^g17 = g51*g62,
2165    g51^g17^-1 = g51*g62^-1,
2166    g51^g18 = g51,
2167    g51^g18^-1 = g51,
2168    g51^g19 = g51,
2169    g51^g19^-1 = g51,
2170    g51^g20 = g51,
2171    g51^g20^-1 = g51,
2172    g51^g21 = g51,
2173    g51^g21^-1 = g51,
2174    g51^g22 = g51,
2175    g51^g22^-1 = g51,
2176    g51^g23 = g51,
2177    g51^g23^-1 = g51,
2178    g51^g24 = g51,
2179    g51^g24^-1 = g51,
2180    g51^g25 = g51,
2181    g51^g25^-1 = g51,
2182    g51^g26 = g51,
2183    g51^g26^-1 = g51,
2184    g51^g27 = g51*g63^-1,
2185    g51^g27^-1 = g51*g63,
2186    g51^g28 = g51*g64^-1,
2187    g51^g28^-1 = g51*g64,
2188    g51^g29 = g51*g65^-1,
2189    g51^g29^-1 = g51*g65,
2190    g51^g30 = g51,
2191    g51^g30^-1 = g51,
2192    g51^g31 = g51,
2193    g51^g31^-1 = g51,
2194    g51^g32 = g51,
2195    g51^g32^-1 = g51,
2196    g51^g33 = g51,
2197    g51^g33^-1 = g51,
2198    g51^g34 = g51,
2199    g51^g34^-1 = g51,
2200    g51^g35 = g51,
2201    g51^g35^-1 = g51,
2202    g51^g36 = g51,
2203    g51^g36^-1 = g51,
2204    g51^g37 = g51,
2205    g51^g37^-1 = g51,
2206    g51^g38 = g51,
2207    g51^g38^-1 = g51,
2208    g51^g39 = g51,
2209    g51^g39^-1 = g51,
2210    g51^g40 = g51,
2211    g51^g40^-1 = g51,
2212    g51^g41 = g51,
2213    g51^g41^-1 = g51,
2214    g51^g42 = g51,
2215    g51^g42^-1 = g51,
2216    g51^g43 = g51,
2217    g51^g43^-1 = g51,
2218    g51^g44 = g51,
2219    g51^g44^-1 = g51,
2220    g51^g45 = g51*g72^-1,
2221    g51^g45^-1 = g51*g72,
2222    g51^g46 = g51*g73^-1,
2223    g51^g46^-1 = g51*g73,
2224    g51^g47 = g51*g74^-1,
2225    g51^g47^-1 = g51*g74,
2226    g51^g48 = g51,
2227    g51^g48^-1 = g51,
2228    g51^g49 = g51,
2229    g51^g49^-1 = g51,
2230    g51^g50 = g51,
2231    g51^g50^-1 = g51,
2232    g52^g1 = g52,
2233    g52^g2 = g52^-1,
2234    g52^g3 = g52,
2235    g52^g4 = g52,
2236    g52^g5 = g52^-1,
2237    g52^g6 = g52,
2238    g52^g7 = g52,
2239    g52^g8 = g52,
2240    g52^g8^-1 = g52,
2241    g52^g9 = g51^2*g52*g53^-2,
2242    g52^g9^-1 = g51^2*g52^-3*g53^2,
2243    g52^g10 = g52,
2244    g52^g10^-1 = g52,
2245    g52^g11 = g52,
2246    g52^g11^-1 = g52,
2247    g52^g12 = g51^2*g52^-3*g53^2,
2248    g52^g12^-1 = g51^2*g52*g53^-2,
2249    g52^g13 = g52,
2250    g52^g13^-1 = g52,
2251    g52^g14 = g52,
2252    g52^g14^-1 = g52,
2253    g52^g15 = g52*g61,
2254    g52^g15^-1 = g52*g61^-1,
2255    g52^g16 = g52*g61^-1*g62^2,
2256    g52^g16^-1 = g52*g61*g62^-2,
2257    g52^g17 = g52*g60^-2*g61^-1*g62^2,
2258    g52^g17^-1 = g52*g60^2*g61*g62^-2,
2259    g52^g18 = g52,
2260    g52^g18^-1 = g52,
2261    g52^g19 = g52,
2262    g52^g19^-1 = g52,
2263    g52^g20 = g52,
2264    g52^g20^-1 = g52,
2265    g52^g21 = g52,
2266    g52^g21^-1 = g52,
2267    g52^g22 = g52,
2268    g52^g22^-1 = g52,
2269    g52^g23 = g52,
2270    g52^g23^-1 = g52,
2271    g52^g24 = g52,
2272    g52^g24^-1 = g52,
2273    g52^g25 = g52,
2274    g52^g25^-1 = g52,
2275    g52^g26 = g52,
2276    g52^g26^-1 = g52,
2277    g52^g27 = g52*g64^-1,
2278    g52^g27^-1 = g52*g64,
2279    g52^g28 = g52*g64*g65^-2,
2280    g52^g28^-1 = g52*g64^-1*g65^2,
2281    g52^g29 = g52*g63^2*g64*g65^-2,
2282    g52^g29^-1 = g52*g63^-2*g64^-1*g65^2,
2283    g52^g30 = g52,
2284    g52^g30^-1 = g52,
2285    g52^g31 = g52,
2286    g52^g31^-1 = g52,
2287    g52^g32 = g52,
2288    g52^g32^-1 = g52,
2289    g52^g33 = g52,
2290    g52^g33^-1 = g52,
2291    g52^g34 = g52,
2292    g52^g34^-1 = g52,
2293    g52^g35 = g52,
2294    g52^g35^-1 = g52,
2295    g52^g36 = g52,
2296    g52^g36^-1 = g52,
2297    g52^g37 = g52,
2298    g52^g37^-1 = g52,
2299    g52^g38 = g52,
2300    g52^g38^-1 = g52,
2301    g52^g39 = g52,
2302    g52^g39^-1 = g52,
2303    g52^g40 = g52,
2304    g52^g40^-1 = g52,
2305    g52^g41 = g52,
2306    g52^g41^-1 = g52,
2307    g52^g42 = g52,
2308    g52^g42^-1 = g52,
2309    g52^g43 = g52,
2310    g52^g43^-1 = g52,
2311    g52^g44 = g52,
2312    g52^g44^-1 = g52,
2313    g52^g45 = g52*g73^-1,
2314    g52^g45^-1 = g52*g73,
2315    g52^g46 = g52*g73*g74^-2,
2316    g52^g46^-1 = g52*g73^-1*g74^2,
2317    g52^g47 = g52*g72^2*g73*g74^-2,
2318    g52^g47^-1 = g52*g72^-2*g73^-1*g74^2,
2319    g52^g48 = g52,
2320    g52^g48^-1 = g52,
2321    g52^g49 = g52,
2322    g52^g49^-1 = g52,
2323    g52^g50 = g52,
2324    g52^g50^-1 = g52,
2325    g52^g51 = g52,
2326    g52^g51^-1 = g52,
2327    g53^g1 = g53,
2328    g53^g2 = g53^-1,
2329    g53^g3 = g53,
2330    g53^g4 = g53,
2331    g53^g5 = g53^-1,
2332    g53^g6 = g53,
2333    g53^g7 = g53,
2334    g53^g8 = g53,
2335    g53^g8^-1 = g53,
2336    g53^g9 = g51^3*g52^2*g53^-2,
2337    g53^g9^-1 = g51^-1,
2338    g53^g10 = g53,
2339    g53^g10^-1 = g53,
2340    g53^g11 = g53,
2341    g53^g11^-1 = g53,
2342    g53^g12 = g51^-1,
2343    g53^g12^-1 = g51^3*g52^2*g53^-2,
2344    g53^g13 = g53,
2345    g53^g13^-1 = g53,
2346    g53^g14 = g53,
2347    g53^g14^-1 = g53,
2348    g53^g15 = g53*g62,
2349    g53^g15^-1 = g53*g62^-1,
2350    g53^g16 = g53*g60^-2*g61^-1*g62^2,
2351    g53^g16^-1 = g53*g60^2*g61*g62^-2,
2352    g53^g17 = g53*g60^-3*g61^-2*g62^2,
2353    g53^g17^-1 = g53*g60^3*g61^2*g62^-2,
2354    g53^g18 = g53,
2355    g53^g18^-1 = g53,
2356    g53^g19 = g53,
2357    g53^g19^-1 = g53,
2358    g53^g20 = g53,
2359    g53^g20^-1 = g53,
2360    g53^g21 = g53,
2361    g53^g21^-1 = g53,
2362    g53^g22 = g53,
2363    g53^g22^-1 = g53,
2364    g53^g23 = g53,
2365    g53^g23^-1 = g53,
2366    g53^g24 = g53,
2367    g53^g24^-1 = g53,
2368    g53^g25 = g53,
2369    g53^g25^-1 = g53,
2370    g53^g26 = g53,
2371    g53^g26^-1 = g53,
2372    g53^g27 = g53*g65^-1,
2373    g53^g27^-1 = g53*g65,
2374    g53^g28 = g53*g63^2*g64*g65^-2,
2375    g53^g28^-1 = g53*g63^-2*g64^-1*g65^2,
2376    g53^g29 = g53*g63^3*g64^2*g65^-2,
2377    g53^g29^-1 = g53*g63^-3*g64^-2*g65^2,
2378    g53^g30 = g53,
2379    g53^g30^-1 = g53,
2380    g53^g31 = g53,
2381    g53^g31^-1 = g53,
2382    g53^g32 = g53,
2383    g53^g32^-1 = g53,
2384    g53^g33 = g53,
2385    g53^g33^-1 = g53,
2386    g53^g34 = g53,
2387    g53^g34^-1 = g53,
2388    g53^g35 = g53,
2389    g53^g35^-1 = g53,
2390    g53^g36 = g53,
2391    g53^g36^-1 = g53,
2392    g53^g37 = g53,
2393    g53^g37^-1 = g53,
2394    g53^g38 = g53,
2395    g53^g38^-1 = g53,
2396    g53^g39 = g53,
2397    g53^g39^-1 = g53,
2398    g53^g40 = g53,
2399    g53^g40^-1 = g53,
2400    g53^g41 = g53,
2401    g53^g41^-1 = g53,
2402    g53^g42 = g53,
2403    g53^g42^-1 = g53,
2404    g53^g43 = g53,
2405    g53^g43^-1 = g53,
2406    g53^g44 = g53,
2407    g53^g44^-1 = g53,
2408    g53^g45 = g53*g74^-1,
2409    g53^g45^-1 = g53*g74,
2410    g53^g46 = g53*g72^2*g73*g74^-2,
2411    g53^g46^-1 = g53*g72^-2*g73^-1*g74^2,
2412    g53^g47 = g53*g72^3*g73^2*g74^-2,
2413    g53^g47^-1 = g53*g72^-3*g73^-2*g74^2,
2414    g53^g48 = g53,
2415    g53^g48^-1 = g53,
2416    g53^g49 = g53,
2417    g53^g49^-1 = g53,
2418    g53^g50 = g53,
2419    g53^g50^-1 = g53,
2420    g53^g51 = g53,
2421    g53^g51^-1 = g53,
2422    g53^g52 = g53,
2423    g53^g52^-1 = g53,
2424    g54^g1 = g54,
2425    g54^g2 = g54,
2426    g54^g3 = g54^-1,
2427    g54^g4 = g54,
2428    g54^g5 = g54,
2429    g54^g6 = g54^-1,
2430    g54^g7 = g54,
2431    g54^g8 = g54,
2432    g54^g8^-1 = g54,
2433    g54^g9 = g54,
2434    g54^g9^-1 = g54,
2435    g54^g10 = g56^-1,
2436    g54^g10^-1 = g54^-2*g55^2*g56^-1,
2437    g54^g11 = g54,
2438    g54^g11^-1 = g54,
2439    g54^g12 = g54,
2440    g54^g12^-1 = g54,
2441    g54^g13 = g54^-2*g55^2*g56^-1,
2442    g54^g13^-1 = g56^-1,
2443    g54^g14 = g54,
2444    g54^g14^-1 = g54,
2445    g54^g15 = g54,
2446    g54^g15^-1 = g54,
2447    g54^g16 = g54,
2448    g54^g16^-1 = g54,
2449    g54^g17 = g54,
2450    g54^g17^-1 = g54,
2451    g54^g18 = g54*g63,
2452    g54^g18^-1 = g54*g63^-1,
2453    g54^g19 = g54*g64,
2454    g54^g19^-1 = g54*g64^-1,
2455    g54^g20 = g54*g65,
2456    g54^g20^-1 = g54*g65^-1,
2457    g54^g21 = g54,
2458    g54^g21^-1 = g54,
2459    g54^g22 = g54,
2460    g54^g22^-1 = g54,
2461    g54^g23 = g54,
2462    g54^g23^-1 = g54,
2463    g54^g24 = g54,
2464    g54^g24^-1 = g54,
2465    g54^g25 = g54,
2466    g54^g25^-1 = g54,
2467    g54^g26 = g54,
2468    g54^g26^-1 = g54,
2469    g54^g27 = g54,
2470    g54^g27^-1 = g54,
2471    g54^g28 = g54,
2472    g54^g28^-1 = g54,
2473    g54^g29 = g54,
2474    g54^g29^-1 = g54,
2475    g54^g30 = g54*g66^-1,
2476    g54^g30^-1 = g54*g66,
2477    g54^g31 = g54*g67^-1,
2478    g54^g31^-1 = g54*g67,
2479    g54^g32 = g54*g68^-1,
2480    g54^g32^-1 = g54*g68,
2481    g54^g33 = g54*g69,
2482    g54^g33^-1 = g54*g69^-1,
2483    g54^g34 = g54*g70,
2484    g54^g34^-1 = g54*g70^-1,
2485    g54^g35 = g54*g71,
2486    g54^g35^-1 = g54*g71^-1,
2487    g54^g36 = g54,
2488    g54^g36^-1 = g54,
2489    g54^g37 = g54,
2490    g54^g37^-1 = g54,
2491    g54^g38 = g54,
2492    g54^g38^-1 = g54,
2493    g54^g39 = g54,
2494    g54^g39^-1 = g54,
2495    g54^g40 = g54,
2496    g54^g40^-1 = g54,
2497    g54^g41 = g54,
2498    g54^g41^-1 = g54,
2499    g54^g42 = g54,
2500    g54^g42^-1 = g54,
2501    g54^g43 = g54,
2502    g54^g43^-1 = g54,
2503    g54^g44 = g54,
2504    g54^g44^-1 = g54,
2505    g54^g45 = g54,
2506    g54^g45^-1 = g54,
2507    g54^g46 = g54,
2508    g54^g46^-1 = g54,
2509    g54^g47 = g54,
2510    g54^g47^-1 = g54,
2511    g54^g48 = g54,
2512    g54^g48^-1 = g54,
2513    g54^g49 = g54,
2514    g54^g49^-1 = g54,
2515    g54^g50 = g54,
2516    g54^g50^-1 = g54,
2517    g54^g51 = g54,
2518    g54^g51^-1 = g54,
2519    g54^g52 = g54,
2520    g54^g52^-1 = g54,
2521    g54^g53 = g54,
2522    g54^g53^-1 = g54,
2523    g55^g1 = g55,
2524    g55^g2 = g55,
2525    g55^g3 = g55^-1,
2526    g55^g4 = g55,
2527    g55^g5 = g55,
2528    g55^g6 = g55^-1,
2529    g55^g7 = g55,
2530    g55^g8 = g55,
2531    g55^g8^-1 = g55,
2532    g55^g9 = g55,
2533    g55^g9^-1 = g55,
2534    g55^g10 = g54^2*g55*g56^-2,
2535    g55^g10^-1 = g54^2*g55^-3*g56^2,
2536    g55^g11 = g55,
2537    g55^g11^-1 = g55,
2538    g55^g12 = g55,
2539    g55^g12^-1 = g55,
2540    g55^g13 = g54^2*g55^-3*g56^2,
2541    g55^g13^-1 = g54^2*g55*g56^-2,
2542    g55^g14 = g55,
2543    g55^g14^-1 = g55,
2544    g55^g15 = g55,
2545    g55^g15^-1 = g55,
2546    g55^g16 = g55,
2547    g55^g16^-1 = g55,
2548    g55^g17 = g55,
2549    g55^g17^-1 = g55,
2550    g55^g18 = g55*g64,
2551    g55^g18^-1 = g55*g64^-1,
2552    g55^g19 = g55*g64^-1*g65^2,
2553    g55^g19^-1 = g55*g64*g65^-2,
2554    g55^g20 = g55*g63^-2*g64^-1*g65^2,
2555    g55^g20^-1 = g55*g63^2*g64*g65^-2,
2556    g55^g21 = g55,
2557    g55^g21^-1 = g55,
2558    g55^g22 = g55,
2559    g55^g22^-1 = g55,
2560    g55^g23 = g55,
2561    g55^g23^-1 = g55,
2562    g55^g24 = g55,
2563    g55^g24^-1 = g55,
2564    g55^g25 = g55,
2565    g55^g25^-1 = g55,
2566    g55^g26 = g55,
2567    g55^g26^-1 = g55,
2568    g55^g27 = g55,
2569    g55^g27^-1 = g55,
2570    g55^g28 = g55,
2571    g55^g28^-1 = g55,
2572    g55^g29 = g55,
2573    g55^g29^-1 = g55,
2574    g55^g30 = g55*g67^-1,
2575    g55^g30^-1 = g55*g67,
2576    g55^g31 = g55*g67*g68^-2,
2577    g55^g31^-1 = g55*g67^-1*g68^2,
2578    g55^g32 = g55*g66^2*g67*g68^-2,
2579    g55^g32^-1 = g55*g66^-2*g67^-1*g68^2,
2580    g55^g33 = g55*g70,
2581    g55^g33^-1 = g55*g70^-1,
2582    g55^g34 = g55*g70^-1*g71^2,
2583    g55^g34^-1 = g55*g70*g71^-2,
2584    g55^g35 = g55*g69^-2*g70^-1*g71^2,
2585    g55^g35^-1 = g55*g69^2*g70*g71^-2,
2586    g55^g36 = g55,
2587    g55^g36^-1 = g55,
2588    g55^g37 = g55,
2589    g55^g37^-1 = g55,
2590    g55^g38 = g55,
2591    g55^g38^-1 = g55,
2592    g55^g39 = g55,
2593    g55^g39^-1 = g55,
2594    g55^g40 = g55,
2595    g55^g40^-1 = g55,
2596    g55^g41 = g55,
2597    g55^g41^-1 = g55,
2598    g55^g42 = g55,
2599    g55^g42^-1 = g55,
2600    g55^g43 = g55,
2601    g55^g43^-1 = g55,
2602    g55^g44 = g55,
2603    g55^g44^-1 = g55,
2604    g55^g45 = g55,
2605    g55^g45^-1 = g55,
2606    g55^g46 = g55,
2607    g55^g46^-1 = g55,
2608    g55^g47 = g55,
2609    g55^g47^-1 = g55,
2610    g55^g48 = g55,
2611    g55^g48^-1 = g55,
2612    g55^g49 = g55,
2613    g55^g49^-1 = g55,
2614    g55^g50 = g55,
2615    g55^g50^-1 = g55,
2616    g55^g51 = g55,
2617    g55^g51^-1 = g55,
2618    g55^g52 = g55,
2619    g55^g52^-1 = g55,
2620    g55^g53 = g55,
2621    g55^g53^-1 = g55,
2622    g55^g54 = g55,
2623    g55^g54^-1 = g55,
2624    g56^g1 = g56,
2625    g56^g2 = g56,
2626    g56^g3 = g56^-1,
2627    g56^g4 = g56,
2628    g56^g5 = g56,
2629    g56^g6 = g56^-1,
2630    g56^g7 = g56,
2631    g56^g8 = g56,
2632    g56^g8^-1 = g56,
2633    g56^g9 = g56,
2634    g56^g9^-1 = g56,
2635    g56^g10 = g54^3*g55^2*g56^-2,
2636    g56^g10^-1 = g54^-1,
2637    g56^g11 = g56,
2638    g56^g11^-1 = g56,
2639    g56^g12 = g56,
2640    g56^g12^-1 = g56,
2641    g56^g13 = g54^-1,
2642    g56^g13^-1 = g54^3*g55^2*g56^-2,
2643    g56^g14 = g56,
2644    g56^g14^-1 = g56,
2645    g56^g15 = g56,
2646    g56^g15^-1 = g56,
2647    g56^g16 = g56,
2648    g56^g16^-1 = g56,
2649    g56^g17 = g56,
2650    g56^g17^-1 = g56,
2651    g56^g18 = g56*g65,
2652    g56^g18^-1 = g56*g65^-1,
2653    g56^g19 = g56*g63^-2*g64^-1*g65^2,
2654    g56^g19^-1 = g56*g63^2*g64*g65^-2,
2655    g56^g20 = g56*g63^-3*g64^-2*g65^2,
2656    g56^g20^-1 = g56*g63^3*g64^2*g65^-2,
2657    g56^g21 = g56,
2658    g56^g21^-1 = g56,
2659    g56^g22 = g56,
2660    g56^g22^-1 = g56,
2661    g56^g23 = g56,
2662    g56^g23^-1 = g56,
2663    g56^g24 = g56,
2664    g56^g24^-1 = g56,
2665    g56^g25 = g56,
2666    g56^g25^-1 = g56,
2667    g56^g26 = g56,
2668    g56^g26^-1 = g56,
2669    g56^g27 = g56,
2670    g56^g27^-1 = g56,
2671    g56^g28 = g56,
2672    g56^g28^-1 = g56,
2673    g56^g29 = g56,
2674    g56^g29^-1 = g56,
2675    g56^g30 = g56*g68^-1,
2676    g56^g30^-1 = g56*g68,
2677    g56^g31 = g56*g66^2*g67*g68^-2,
2678    g56^g31^-1 = g56*g66^-2*g67^-1*g68^2,
2679    g56^g32 = g56*g66^3*g67^2*g68^-2,
2680    g56^g32^-1 = g56*g66^-3*g67^-2*g68^2,
2681    g56^g33 = g56*g71,
2682    g56^g33^-1 = g56*g71^-1,
2683    g56^g34 = g56*g69^-2*g70^-1*g71^2,
2684    g56^g34^-1 = g56*g69^2*g70*g71^-2,
2685    g56^g35 = g56*g69^-3*g70^-2*g71^2,
2686    g56^g35^-1 = g56*g69^3*g70^2*g71^-2,
2687    g56^g36 = g56,
2688    g56^g36^-1 = g56,
2689    g56^g37 = g56,
2690    g56^g37^-1 = g56,
2691    g56^g38 = g56,
2692    g56^g38^-1 = g56,
2693    g56^g39 = g56,
2694    g56^g39^-1 = g56,
2695    g56^g40 = g56,
2696    g56^g40^-1 = g56,
2697    g56^g41 = g56,
2698    g56^g41^-1 = g56,
2699    g56^g42 = g56,
2700    g56^g42^-1 = g56,
2701    g56^g43 = g56,
2702    g56^g43^-1 = g56,
2703    g56^g44 = g56,
2704    g56^g44^-1 = g56,
2705    g56^g45 = g56,
2706    g56^g45^-1 = g56,
2707    g56^g46 = g56,
2708    g56^g46^-1 = g56,
2709    g56^g47 = g56,
2710    g56^g47^-1 = g56,
2711    g56^g48 = g56,
2712    g56^g48^-1 = g56,
2713    g56^g49 = g56,
2714    g56^g49^-1 = g56,
2715    g56^g50 = g56,
2716    g56^g50^-1 = g56,
2717    g56^g51 = g56,
2718    g56^g51^-1 = g56,
2719    g56^g52 = g56,
2720    g56^g52^-1 = g56,
2721    g56^g53 = g56,
2722    g56^g53^-1 = g56,
2723    g56^g54 = g56,
2724    g56^g54^-1 = g56,
2725    g56^g55 = g56,
2726    g56^g55^-1 = g56,
2727    g57^g1 = g57,
2728    g57^g2 = g57,
2729    g57^g3 = g57,
2730    g57^g4 = g57^-1,
2731    g57^g5 = g57,
2732    g57^g6 = g57,
2733    g57^g7 = g57^-1,
2734    g57^g8 = g57,
2735    g57^g8^-1 = g57,
2736    g57^g9 = g57,
2737    g57^g9^-1 = g57,
2738    g57^g10 = g57,
2739    g57^g10^-1 = g57,
2740    g57^g11 = g59^-1,
2741    g57^g11^-1 = g57^-2*g58^2*g59^-1,
2742    g57^g12 = g57,
2743    g57^g12^-1 = g57,
2744    g57^g13 = g57,
2745    g57^g13^-1 = g57,
2746    g57^g14 = g57^-2*g58^2*g59^-1,
2747    g57^g14^-1 = g59^-1,
2748    g57^g15 = g57,
2749    g57^g15^-1 = g57,
2750    g57^g16 = g57,
2751    g57^g16^-1 = g57,
2752    g57^g17 = g57,
2753    g57^g17^-1 = g57,
2754    g57^g18 = g57,
2755    g57^g18^-1 = g57,
2756    g57^g19 = g57,
2757    g57^g19^-1 = g57,
2758    g57^g20 = g57,
2759    g57^g20^-1 = g57,
2760    g57^g21 = g57*g66,
2761    g57^g21^-1 = g57*g66^-1,
2762    g57^g22 = g57*g67,
2763    g57^g22^-1 = g57*g67^-1,
2764    g57^g23 = g57*g68,
2765    g57^g23^-1 = g57*g68^-1,
2766    g57^g24 = g57,
2767    g57^g24^-1 = g57,
2768    g57^g25 = g57,
2769    g57^g25^-1 = g57,
2770    g57^g26 = g57,
2771    g57^g26^-1 = g57,
2772    g57^g27 = g57,
2773    g57^g27^-1 = g57,
2774    g57^g28 = g57,
2775    g57^g28^-1 = g57,
2776    g57^g29 = g57,
2777    g57^g29^-1 = g57,
2778    g57^g30 = g57,
2779    g57^g30^-1 = g57,
2780    g57^g31 = g57,
2781    g57^g31^-1 = g57,
2782    g57^g32 = g57,
2783    g57^g32^-1 = g57,
2784    g57^g33 = g57,
2785    g57^g33^-1 = g57,
2786    g57^g34 = g57,
2787    g57^g34^-1 = g57,
2788    g57^g35 = g57,
2789    g57^g35^-1 = g57,
2790    g57^g36 = g57*g72,
2791    g57^g36^-1 = g57*g72^-1,
2792    g57^g37 = g57*g73,
2793    g57^g37^-1 = g57*g73^-1,
2794    g57^g38 = g57*g74,
2795    g57^g38^-1 = g57*g74^-1,
2796    g57^g39 = g57,
2797    g57^g39^-1 = g57,
2798    g57^g40 = g57,
2799    g57^g40^-1 = g57,
2800    g57^g41 = g57,
2801    g57^g41^-1 = g57,
2802    g57^g42 = g57,
2803    g57^g42^-1 = g57,
2804    g57^g43 = g57,
2805    g57^g43^-1 = g57,
2806    g57^g44 = g57,
2807    g57^g44^-1 = g57,
2808    g57^g45 = g57,
2809    g57^g45^-1 = g57,
2810    g57^g46 = g57,
2811    g57^g46^-1 = g57,
2812    g57^g47 = g57,
2813    g57^g47^-1 = g57,
2814    g57^g48 = g57*g75,
2815    g57^g48^-1 = g57*g75^-1,
2816    g57^g49 = g57*g76,
2817    g57^g49^-1 = g57*g76^-1,
2818    g57^g50 = g57*g77,
2819    g57^g50^-1 = g57*g77^-1,
2820    g57^g51 = g57,
2821    g57^g51^-1 = g57,
2822    g57^g52 = g57,
2823    g57^g52^-1 = g57,
2824    g57^g53 = g57,
2825    g57^g53^-1 = g57,
2826    g57^g54 = g57,
2827    g57^g54^-1 = g57,
2828    g57^g55 = g57,
2829    g57^g55^-1 = g57,
2830    g57^g56 = g57,
2831    g57^g56^-1 = g57,
2832    g58^g1 = g58,
2833    g58^g2 = g58,
2834    g58^g3 = g58,
2835    g58^g4 = g58^-1,
2836    g58^g5 = g58,
2837    g58^g6 = g58,
2838    g58^g7 = g58^-1,
2839    g58^g8 = g58,
2840    g58^g8^-1 = g58,
2841    g58^g9 = g58,
2842    g58^g9^-1 = g58,
2843    g58^g10 = g58,
2844    g58^g10^-1 = g58,
2845    g58^g11 = g57^2*g58*g59^-2,
2846    g58^g11^-1 = g57^2*g58^-3*g59^2,
2847    g58^g12 = g58,
2848    g58^g12^-1 = g58,
2849    g58^g13 = g58,
2850    g58^g13^-1 = g58,
2851    g58^g14 = g57^2*g58^-3*g59^2,
2852    g58^g14^-1 = g57^2*g58*g59^-2,
2853    g58^g15 = g58,
2854    g58^g15^-1 = g58,
2855    g58^g16 = g58,
2856    g58^g16^-1 = g58,
2857    g58^g17 = g58,
2858    g58^g17^-1 = g58,
2859    g58^g18 = g58,
2860    g58^g18^-1 = g58,
2861    g58^g19 = g58,
2862    g58^g19^-1 = g58,
2863    g58^g20 = g58,
2864    g58^g20^-1 = g58,
2865    g58^g21 = g58*g67,
2866    g58^g21^-1 = g58*g67^-1,
2867    g58^g22 = g58*g67^-1*g68^2,
2868    g58^g22^-1 = g58*g67*g68^-2,
2869    g58^g23 = g58*g66^-2*g67^-1*g68^2,
2870    g58^g23^-1 = g58*g66^2*g67*g68^-2,
2871    g58^g24 = g58,
2872    g58^g24^-1 = g58,
2873    g58^g25 = g58,
2874    g58^g25^-1 = g58,
2875    g58^g26 = g58,
2876    g58^g26^-1 = g58,
2877    g58^g27 = g58,
2878    g58^g27^-1 = g58,
2879    g58^g28 = g58,
2880    g58^g28^-1 = g58,
2881    g58^g29 = g58,
2882    g58^g29^-1 = g58,
2883    g58^g30 = g58,
2884    g58^g30^-1 = g58,
2885    g58^g31 = g58,
2886    g58^g31^-1 = g58,
2887    g58^g32 = g58,
2888    g58^g32^-1 = g58,
2889    g58^g33 = g58,
2890    g58^g33^-1 = g58,
2891    g58^g34 = g58,
2892    g58^g34^-1 = g58,
2893    g58^g35 = g58,
2894    g58^g35^-1 = g58,
2895    g58^g36 = g58*g73,
2896    g58^g36^-1 = g58*g73^-1,
2897    g58^g37 = g58*g73^-1*g74^2,
2898    g58^g37^-1 = g58*g73*g74^-2,
2899    g58^g38 = g58*g72^-2*g73^-1*g74^2,
2900    g58^g38^-1 = g58*g72^2*g73*g74^-2,
2901    g58^g39 = g58,
2902    g58^g39^-1 = g58,
2903    g58^g40 = g58,
2904    g58^g40^-1 = g58,
2905    g58^g41 = g58,
2906    g58^g41^-1 = g58,
2907    g58^g42 = g58,
2908    g58^g42^-1 = g58,
2909    g58^g43 = g58,
2910    g58^g43^-1 = g58,
2911    g58^g44 = g58,
2912    g58^g44^-1 = g58,
2913    g58^g45 = g58,
2914    g58^g45^-1 = g58,
2915    g58^g46 = g58,
2916    g58^g46^-1 = g58,
2917    g58^g47 = g58,
2918    g58^g47^-1 = g58,
2919    g58^g48 = g58*g76,
2920    g58^g48^-1 = g58*g76^-1,
2921    g58^g49 = g58*g76^-1*g77^2,
2922    g58^g49^-1 = g58*g76*g77^-2,
2923    g58^g50 = g58*g75^-2*g76^-1*g77^2,
2924    g58^g50^-1 = g58*g75^2*g76*g77^-2,
2925    g58^g51 = g58,
2926    g58^g51^-1 = g58,
2927    g58^g52 = g58,
2928    g58^g52^-1 = g58,
2929    g58^g53 = g58,
2930    g58^g53^-1 = g58,
2931    g58^g54 = g58,
2932    g58^g54^-1 = g58,
2933    g58^g55 = g58,
2934    g58^g55^-1 = g58,
2935    g58^g56 = g58,
2936    g58^g56^-1 = g58,
2937    g58^g57 = g58,
2938    g58^g57^-1 = g58,
2939    g59^g1 = g59,
2940    g59^g2 = g59,
2941    g59^g3 = g59,
2942    g59^g4 = g59^-1,
2943    g59^g5 = g59,
2944    g59^g6 = g59,
2945    g59^g7 = g59^-1,
2946    g59^g8 = g59,
2947    g59^g8^-1 = g59,
2948    g59^g9 = g59,
2949    g59^g9^-1 = g59,
2950    g59^g10 = g59,
2951    g59^g10^-1 = g59,
2952    g59^g11 = g57^3*g58^2*g59^-2,
2953    g59^g11^-1 = g57^-1,
2954    g59^g12 = g59,
2955    g59^g12^-1 = g59,
2956    g59^g13 = g59,
2957    g59^g13^-1 = g59,
2958    g59^g14 = g57^-1,
2959    g59^g14^-1 = g57^3*g58^2*g59^-2,
2960    g59^g15 = g59,
2961    g59^g15^-1 = g59,
2962    g59^g16 = g59,
2963    g59^g16^-1 = g59,
2964    g59^g17 = g59,
2965    g59^g17^-1 = g59,
2966    g59^g18 = g59,
2967    g59^g18^-1 = g59,
2968    g59^g19 = g59,
2969    g59^g19^-1 = g59,
2970    g59^g20 = g59,
2971    g59^g20^-1 = g59,
2972    g59^g21 = g59*g68,
2973    g59^g21^-1 = g59*g68^-1,
2974    g59^g22 = g59*g66^-2*g67^-1*g68^2,
2975    g59^g22^-1 = g59*g66^2*g67*g68^-2,
2976    g59^g23 = g59*g66^-3*g67^-2*g68^2,
2977    g59^g23^-1 = g59*g66^3*g67^2*g68^-2,
2978    g59^g24 = g59,
2979    g59^g24^-1 = g59,
2980    g59^g25 = g59,
2981    g59^g25^-1 = g59,
2982    g59^g26 = g59,
2983    g59^g26^-1 = g59,
2984    g59^g27 = g59,
2985    g59^g27^-1 = g59,
2986    g59^g28 = g59,
2987    g59^g28^-1 = g59,
2988    g59^g29 = g59,
2989    g59^g29^-1 = g59,
2990    g59^g30 = g59,
2991    g59^g30^-1 = g59,
2992    g59^g31 = g59,
2993    g59^g31^-1 = g59,
2994    g59^g32 = g59,
2995    g59^g32^-1 = g59,
2996    g59^g33 = g59,
2997    g59^g33^-1 = g59,
2998    g59^g34 = g59,
2999    g59^g34^-1 = g59,
3000    g59^g35 = g59,
3001    g59^g35^-1 = g59,
3002    g59^g36 = g59*g74,
3003    g59^g36^-1 = g59*g74^-1,
3004    g59^g37 = g59*g72^-2*g73^-1*g74^2,
3005    g59^g37^-1 = g59*g72^2*g73*g74^-2,
3006    g59^g38 = g59*g72^-3*g73^-2*g74^2,
3007    g59^g38^-1 = g59*g72^3*g73^2*g74^-2,
3008    g59^g39 = g59,
3009    g59^g39^-1 = g59,
3010    g59^g40 = g59,
3011    g59^g40^-1 = g59,
3012    g59^g41 = g59,
3013    g59^g41^-1 = g59,
3014    g59^g42 = g59,
3015    g59^g42^-1 = g59,
3016    g59^g43 = g59,
3017    g59^g43^-1 = g59,
3018    g59^g44 = g59,
3019    g59^g44^-1 = g59,
3020    g59^g45 = g59,
3021    g59^g45^-1 = g59,
3022    g59^g46 = g59,
3023    g59^g46^-1 = g59,
3024    g59^g47 = g59,
3025    g59^g47^-1 = g59,
3026    g59^g48 = g59*g77,
3027    g59^g48^-1 = g59*g77^-1,
3028    g59^g49 = g59*g75^-2*g76^-1*g77^2,
3029    g59^g49^-1 = g59*g75^2*g76*g77^-2,
3030    g59^g50 = g59*g75^-3*g76^-2*g77^2,
3031    g59^g50^-1 = g59*g75^3*g76^2*g77^-2,
3032    g59^g51 = g59,
3033    g59^g51^-1 = g59,
3034    g59^g52 = g59,
3035    g59^g52^-1 = g59,
3036    g59^g53 = g59,
3037    g59^g53^-1 = g59,
3038    g59^g54 = g59,
3039    g59^g54^-1 = g59,
3040    g59^g55 = g59,
3041    g59^g55^-1 = g59,
3042    g59^g56 = g59,
3043    g59^g56^-1 = g59,
3044    g59^g57 = g59,
3045    g59^g57^-1 = g59,
3046    g59^g58 = g59,
3047    g59^g58^-1 = g59,
3048    g60^g1 = g60^-1,
3049    g60^g2 = g60,
3050    g60^g3 = g60,
3051    g60^g4 = g60,
3052    g60^g5 = g60^-1,
3053    g60^g6 = g60,
3054    g60^g7 = g60,
3055    g60^g8 = g62^-1,
3056    g60^g8^-1 = g60^-2*g61^2*g62^-1,
3057    g60^g9 = g60,
3058    g60^g9^-1 = g60,
3059    g60^g10 = g60,
3060    g60^g10^-1 = g60,
3061    g60^g11 = g60,
3062    g60^g11^-1 = g60,
3063    g60^g12 = g60^-2*g61^2*g62^-1,
3064    g60^g12^-1 = g62^-1,
3065    g60^g13 = g60,
3066    g60^g13^-1 = g60,
3067    g60^g14 = g60,
3068    g60^g14^-1 = g60,
3069    g60^g15 = g60,
3070    g60^g15^-1 = g60,
3071    g60^g16 = g60,
3072    g60^g16^-1 = g60,
3073    g60^g17 = g60,
3074    g60^g17^-1 = g60,
3075    g60^g18 = g60,
3076    g60^g18^-1 = g60,
3077    g60^g19 = g60,
3078    g60^g19^-1 = g60,
3079    g60^g20 = g60,
3080    g60^g20^-1 = g60,
3081    g60^g21 = g60,
3082    g60^g21^-1 = g60,
3083    g60^g22 = g60,
3084    g60^g22^-1 = g60,
3085    g60^g23 = g60,
3086    g60^g23^-1 = g60,
3087    g60^g24 = g60,
3088    g60^g24^-1 = g60,
3089    g60^g25 = g60,
3090    g60^g25^-1 = g60,
3091    g60^g26 = g60,
3092    g60^g26^-1 = g60,
3093    g60^g27 = g60*g69^-1,
3094    g60^g27^-1 = g60*g69,
3095    g60^g28 = g60*g70^-1,
3096    g60^g28^-1 = g60*g70,
3097    g60^g29 = g60*g71^-1,
3098    g60^g29^-1 = g60*g71,
3099    g60^g30 = g60,
3100    g60^g30^-1 = g60,
3101    g60^g31 = g60,
3102    g60^g31^-1 = g60,
3103    g60^g32 = g60,
3104    g60^g32^-1 = g60,
3105    g60^g33 = g60,
3106    g60^g33^-1 = g60,
3107    g60^g34 = g60,
3108    g60^g34^-1 = g60,
3109    g60^g35 = g60,
3110    g60^g35^-1 = g60,
3111    g60^g36 = g60,
3112    g60^g36^-1 = g60,
3113    g60^g37 = g60,
3114    g60^g37^-1 = g60,
3115    g60^g38 = g60,
3116    g60^g38^-1 = g60,
3117    g60^g39 = g60,
3118    g60^g39^-1 = g60,
3119    g60^g40 = g60,
3120    g60^g40^-1 = g60,
3121    g60^g41 = g60,
3122    g60^g41^-1 = g60,
3123    g60^g42 = g60,
3124    g60^g42^-1 = g60,
3125    g60^g43 = g60,
3126    g60^g43^-1 = g60,
3127    g60^g44 = g60,
3128    g60^g44^-1 = g60,
3129    g60^g45 = g60*g75^-1,
3130    g60^g45^-1 = g60*g75,
3131    g60^g46 = g60*g76^-1,
3132    g60^g46^-1 = g60*g76,
3133    g60^g47 = g60*g77^-1,
3134    g60^g47^-1 = g60*g77,
3135    g60^g48 = g60,
3136    g60^g48^-1 = g60,
3137    g60^g49 = g60,
3138    g60^g49^-1 = g60,
3139    g60^g50 = g60,
3140    g60^g50^-1 = g60,
3141    g60^g51 = g60,
3142    g60^g51^-1 = g60,
3143    g60^g52 = g60,
3144    g60^g52^-1 = g60,
3145    g60^g53 = g60,
3146    g60^g53^-1 = g60,
3147    g60^g54 = g60,
3148    g60^g54^-1 = g60,
3149    g60^g55 = g60,
3150    g60^g55^-1 = g60,
3151    g60^g56 = g60,
3152    g60^g56^-1 = g60,
3153    g60^g57 = g60,
3154    g60^g57^-1 = g60,
3155    g60^g58 = g60,
3156    g60^g58^-1 = g60,
3157    g60^g59 = g60,
3158    g60^g59^-1 = g60,
3159    g61^g1 = g61^-1,
3160    g61^g2 = g61,
3161    g61^g3 = g61,
3162    g61^g4 = g61,
3163    g61^g5 = g61^-1,
3164    g61^g6 = g61,
3165    g61^g7 = g61,
3166    g61^g8 = g60^2*g61*g62^-2,
3167    g61^g8^-1 = g60^2*g61^-3*g62^2,
3168    g61^g9 = g61,
3169    g61^g9^-1 = g61,
3170    g61^g10 = g61,
3171    g61^g10^-1 = g61,
3172    g61^g11 = g61,
3173    g61^g11^-1 = g61,
3174    g61^g12 = g60^2*g61^-3*g62^2,
3175    g61^g12^-1 = g60^2*g61*g62^-2,
3176    g61^g13 = g61,
3177    g61^g13^-1 = g61,
3178    g61^g14 = g61,
3179    g61^g14^-1 = g61,
3180    g61^g15 = g61,
3181    g61^g15^-1 = g61,
3182    g61^g16 = g61,
3183    g61^g16^-1 = g61,
3184    g61^g17 = g61,
3185    g61^g17^-1 = g61,
3186    g61^g18 = g61,
3187    g61^g18^-1 = g61,
3188    g61^g19 = g61,
3189    g61^g19^-1 = g61,
3190    g61^g20 = g61,
3191    g61^g20^-1 = g61,
3192    g61^g21 = g61,
3193    g61^g21^-1 = g61,
3194    g61^g22 = g61,
3195    g61^g22^-1 = g61,
3196    g61^g23 = g61,
3197    g61^g23^-1 = g61,
3198    g61^g24 = g61,
3199    g61^g24^-1 = g61,
3200    g61^g25 = g61,
3201    g61^g25^-1 = g61,
3202    g61^g26 = g61,
3203    g61^g26^-1 = g61,
3204    g61^g27 = g61*g70^-1,
3205    g61^g27^-1 = g61*g70,
3206    g61^g28 = g61*g70*g71^-2,
3207    g61^g28^-1 = g61*g70^-1*g71^2,
3208    g61^g29 = g61*g69^2*g70*g71^-2,
3209    g61^g29^-1 = g61*g69^-2*g70^-1*g71^2,
3210    g61^g30 = g61,
3211    g61^g30^-1 = g61,
3212    g61^g31 = g61,
3213    g61^g31^-1 = g61,
3214    g61^g32 = g61,
3215    g61^g32^-1 = g61,
3216    g61^g33 = g61,
3217    g61^g33^-1 = g61,
3218    g61^g34 = g61,
3219    g61^g34^-1 = g61,
3220    g61^g35 = g61,
3221    g61^g35^-1 = g61,
3222    g61^g36 = g61,
3223    g61^g36^-1 = g61,
3224    g61^g37 = g61,
3225    g61^g37^-1 = g61,
3226    g61^g38 = g61,
3227    g61^g38^-1 = g61,
3228    g61^g39 = g61,
3229    g61^g39^-1 = g61,
3230    g61^g40 = g61,
3231    g61^g40^-1 = g61,
3232    g61^g41 = g61,
3233    g61^g41^-1 = g61,
3234    g61^g42 = g61,
3235    g61^g42^-1 = g61,
3236    g61^g43 = g61,
3237    g61^g43^-1 = g61,
3238    g61^g44 = g61,
3239    g61^g44^-1 = g61,
3240    g61^g45 = g61*g76^-1,
3241    g61^g45^-1 = g61*g76,
3242    g61^g46 = g61*g76*g77^-2,
3243    g61^g46^-1 = g61*g76^-1*g77^2,
3244    g61^g47 = g61*g75^2*g76*g77^-2,
3245    g61^g47^-1 = g61*g75^-2*g76^-1*g77^2,
3246    g61^g48 = g61,
3247    g61^g48^-1 = g61,
3248    g61^g49 = g61,
3249    g61^g49^-1 = g61,
3250    g61^g50 = g61,
3251    g61^g50^-1 = g61,
3252    g61^g51 = g61,
3253    g61^g51^-1 = g61,
3254    g61^g52 = g61,
3255    g61^g52^-1 = g61,
3256    g61^g53 = g61,
3257    g61^g53^-1 = g61,
3258    g61^g54 = g61,
3259    g61^g54^-1 = g61,
3260    g61^g55 = g61,
3261    g61^g55^-1 = g61,
3262    g61^g56 = g61,
3263    g61^g56^-1 = g61,
3264    g61^g57 = g61,
3265    g61^g57^-1 = g61,
3266    g61^g58 = g61,
3267    g61^g58^-1 = g61,
3268    g61^g59 = g61,
3269    g61^g59^-1 = g61,
3270    g61^g60 = g61,
3271    g61^g60^-1 = g61,
3272    g62^g1 = g62^-1,
3273    g62^g2 = g62,
3274    g62^g3 = g62,
3275    g62^g4 = g62,
3276    g62^g5 = g62^-1,
3277    g62^g6 = g62,
3278    g62^g7 = g62,
3279    g62^g8 = g60^3*g61^2*g62^-2,
3280    g62^g8^-1 = g60^-1,
3281    g62^g9 = g62,
3282    g62^g9^-1 = g62,
3283    g62^g10 = g62,
3284    g62^g10^-1 = g62,
3285    g62^g11 = g62,
3286    g62^g11^-1 = g62,
3287    g62^g12 = g60^-1,
3288    g62^g12^-1 = g60^3*g61^2*g62^-2,
3289    g62^g13 = g62,
3290    g62^g13^-1 = g62,
3291    g62^g14 = g62,
3292    g62^g14^-1 = g62,
3293    g62^g15 = g62,
3294    g62^g15^-1 = g62,
3295    g62^g16 = g62,
3296    g62^g16^-1 = g62,
3297    g62^g17 = g62,
3298    g62^g17^-1 = g62,
3299    g62^g18 = g62,
3300    g62^g18^-1 = g62,
3301    g62^g19 = g62,
3302    g62^g19^-1 = g62,
3303    g62^g20 = g62,
3304    g62^g20^-1 = g62,
3305    g62^g21 = g62,
3306    g62^g21^-1 = g62,
3307    g62^g22 = g62,
3308    g62^g22^-1 = g62,
3309    g62^g23 = g62,
3310    g62^g23^-1 = g62,
3311    g62^g24 = g62,
3312    g62^g24^-1 = g62,
3313    g62^g25 = g62,
3314    g62^g25^-1 = g62,
3315    g62^g26 = g62,
3316    g62^g26^-1 = g62,
3317    g62^g27 = g62*g71^-1,
3318    g62^g27^-1 = g62*g71,
3319    g62^g28 = g62*g69^2*g70*g71^-2,
3320    g62^g28^-1 = g62*g69^-2*g70^-1*g71^2,
3321    g62^g29 = g62*g69^3*g70^2*g71^-2,
3322    g62^g29^-1 = g62*g69^-3*g70^-2*g71^2,
3323    g62^g30 = g62,
3324    g62^g30^-1 = g62,
3325    g62^g31 = g62,
3326    g62^g31^-1 = g62,
3327    g62^g32 = g62,
3328    g62^g32^-1 = g62,
3329    g62^g33 = g62,
3330    g62^g33^-1 = g62,
3331    g62^g34 = g62,
3332    g62^g34^-1 = g62,
3333    g62^g35 = g62,
3334    g62^g35^-1 = g62,
3335    g62^g36 = g62,
3336    g62^g36^-1 = g62,
3337    g62^g37 = g62,
3338    g62^g37^-1 = g62,
3339    g62^g38 = g62,
3340    g62^g38^-1 = g62,
3341    g62^g39 = g62,
3342    g62^g39^-1 = g62,
3343    g62^g40 = g62,
3344    g62^g40^-1 = g62,
3345    g62^g41 = g62,
3346    g62^g41^-1 = g62,
3347    g62^g42 = g62,
3348    g62^g42^-1 = g62,
3349    g62^g43 = g62,
3350    g62^g43^-1 = g62,
3351    g62^g44 = g62,
3352    g62^g44^-1 = g62,
3353    g62^g45 = g62*g77^-1,
3354    g62^g45^-1 = g62*g77,
3355    g62^g46 = g62*g75^2*g76*g77^-2,
3356    g62^g46^-1 = g62*g75^-2*g76^-1*g77^2,
3357    g62^g47 = g62*g75^3*g76^2*g77^-2,
3358    g62^g47^-1 = g62*g75^-3*g76^-2*g77^2,
3359    g62^g48 = g62,
3360    g62^g48^-1 = g62,
3361    g62^g49 = g62,
3362    g62^g49^-1 = g62,
3363    g62^g50 = g62,
3364    g62^g50^-1 = g62,
3365    g62^g51 = g62,
3366    g62^g51^-1 = g62,
3367    g62^g52 = g62,
3368    g62^g52^-1 = g62,
3369    g62^g53 = g62,
3370    g62^g53^-1 = g62,
3371    g62^g54 = g62,
3372    g62^g54^-1 = g62,
3373    g62^g55 = g62,
3374    g62^g55^-1 = g62,
3375    g62^g56 = g62,
3376    g62^g56^-1 = g62,
3377    g62^g57 = g62,
3378    g62^g57^-1 = g62,
3379    g62^g58 = g62,
3380    g62^g58^-1 = g62,
3381    g62^g59 = g62,
3382    g62^g59^-1 = g62,
3383    g62^g60 = g62,
3384    g62^g60^-1 = g62,
3385    g62^g61 = g62,
3386    g62^g61^-1 = g62,
3387    g63^g1 = g63,
3388    g63^g2 = g63^-1,
3389    g63^g3 = g63,
3390    g63^g4 = g63,
3391    g63^g5 = g63,
3392    g63^g6 = g63^-1,
3393    g63^g7 = g63,
3394    g63^g8 = g63,
3395    g63^g8^-1 = g63,
3396    g63^g9 = g65^-1,
3397    g63^g9^-1 = g63^-2*g64^2*g65^-1,
3398    g63^g10 = g63,
3399    g63^g10^-1 = g63,
3400    g63^g11 = g63,
3401    g63^g11^-1 = g63,
3402    g63^g12 = g63,
3403    g63^g12^-1 = g63,
3404    g63^g13 = g63^-2*g64^2*g65^-1,
3405    g63^g13^-1 = g65^-1,
3406    g63^g14 = g63,
3407    g63^g14^-1 = g63,
3408    g63^g15 = g63*g69,
3409    g63^g15^-1 = g63*g69^-1,
3410    g63^g16 = g63*g70,
3411    g63^g16^-1 = g63*g70^-1,
3412    g63^g17 = g63*g71,
3413    g63^g17^-1 = g63*g71^-1,
3414    g63^g18 = g63,
3415    g63^g18^-1 = g63,
3416    g63^g19 = g63,
3417    g63^g19^-1 = g63,
3418    g63^g20 = g63,
3419    g63^g20^-1 = g63,
3420    g63^g21 = g63,
3421    g63^g21^-1 = g63,
3422    g63^g22 = g63,
3423    g63^g22^-1 = g63,
3424    g63^g23 = g63,
3425    g63^g23^-1 = g63,
3426    g63^g24 = g63,
3427    g63^g24^-1 = g63,
3428    g63^g25 = g63,
3429    g63^g25^-1 = g63,
3430    g63^g26 = g63,
3431    g63^g26^-1 = g63,
3432    g63^g27 = g63,
3433    g63^g27^-1 = g63,
3434    g63^g28 = g63,
3435    g63^g28^-1 = g63,
3436    g63^g29 = g63,
3437    g63^g29^-1 = g63,
3438    g63^g30 = g63*g72^-1,
3439    g63^g30^-1 = g63*g72,
3440    g63^g31 = g63*g73^-1,
3441    g63^g31^-1 = g63*g73,
3442    g63^g32 = g63*g74^-1,
3443    g63^g32^-1 = g63*g74,
3444    g63^g33 = g63,
3445    g63^g33^-1 = g63,
3446    g63^g34 = g63,
3447    g63^g34^-1 = g63,
3448    g63^g35 = g63,
3449    g63^g35^-1 = g63,
3450    g63^g36 = g63,
3451    g63^g36^-1 = g63,
3452    g63^g37 = g63,
3453    g63^g37^-1 = g63,
3454    g63^g38 = g63,
3455    g63^g38^-1 = g63,
3456    g63^g39 = g63,
3457    g63^g39^-1 = g63,
3458    g63^g40 = g63,
3459    g63^g40^-1 = g63,
3460    g63^g41 = g63,
3461    g63^g41^-1 = g63,
3462    g63^g42 = g63,
3463    g63^g42^-1 = g63,
3464    g63^g43 = g63,
3465    g63^g43^-1 = g63,
3466    g63^g44 = g63,
3467    g63^g44^-1 = g63,
3468    g63^g45 = g63,
3469    g63^g45^-1 = g63,
3470    g63^g46 = g63,
3471    g63^g46^-1 = g63,
3472    g63^g47 = g63,
3473    g63^g47^-1 = g63,
3474    g63^g48 = g63,
3475    g63^g48^-1 = g63,
3476    g63^g49 = g63,
3477    g63^g49^-1 = g63,
3478    g63^g50 = g63,
3479    g63^g50^-1 = g63,
3480    g63^g51 = g63,
3481    g63^g51^-1 = g63,
3482    g63^g52 = g63,
3483    g63^g52^-1 = g63,
3484    g63^g53 = g63,
3485    g63^g53^-1 = g63,
3486    g63^g54 = g63,
3487    g63^g54^-1 = g63,
3488    g63^g55 = g63,
3489    g63^g55^-1 = g63,
3490    g63^g56 = g63,
3491    g63^g56^-1 = g63,
3492    g63^g57 = g63,
3493    g63^g57^-1 = g63,
3494    g63^g58 = g63,
3495    g63^g58^-1 = g63,
3496    g63^g59 = g63,
3497    g63^g59^-1 = g63,
3498    g63^g60 = g63,
3499    g63^g60^-1 = g63,
3500    g63^g61 = g63,
3501    g63^g61^-1 = g63,
3502    g63^g62 = g63,
3503    g63^g62^-1 = g63,
3504    g64^g1 = g64,
3505    g64^g2 = g64^-1,
3506    g64^g3 = g64,
3507    g64^g4 = g64,
3508    g64^g5 = g64,
3509    g64^g6 = g64^-1,
3510    g64^g7 = g64,
3511    g64^g8 = g64,
3512    g64^g8^-1 = g64,
3513    g64^g9 = g63^2*g64*g65^-2,
3514    g64^g9^-1 = g63^2*g64^-3*g65^2,
3515    g64^g10 = g64,
3516    g64^g10^-1 = g64,
3517    g64^g11 = g64,
3518    g64^g11^-1 = g64,
3519    g64^g12 = g64,
3520    g64^g12^-1 = g64,
3521    g64^g13 = g63^2*g64^-3*g65^2,
3522    g64^g13^-1 = g63^2*g64*g65^-2,
3523    g64^g14 = g64,
3524    g64^g14^-1 = g64,
3525    g64^g15 = g64*g70,
3526    g64^g15^-1 = g64*g70^-1,
3527    g64^g16 = g64*g70^-1*g71^2,
3528    g64^g16^-1 = g64*g70*g71^-2,
3529    g64^g17 = g64*g69^-2*g70^-1*g71^2,
3530    g64^g17^-1 = g64*g69^2*g70*g71^-2,
3531    g64^g18 = g64,
3532    g64^g18^-1 = g64,
3533    g64^g19 = g64,
3534    g64^g19^-1 = g64,
3535    g64^g20 = g64,
3536    g64^g20^-1 = g64,
3537    g64^g21 = g64,
3538    g64^g21^-1 = g64,
3539    g64^g22 = g64,
3540    g64^g22^-1 = g64,
3541    g64^g23 = g64,
3542    g64^g23^-1 = g64,
3543    g64^g24 = g64,
3544    g64^g24^-1 = g64,
3545    g64^g25 = g64,
3546    g64^g25^-1 = g64,
3547    g64^g26 = g64,
3548    g64^g26^-1 = g64,
3549    g64^g27 = g64,
3550    g64^g27^-1 = g64,
3551    g64^g28 = g64,
3552    g64^g28^-1 = g64,
3553    g64^g29 = g64,
3554    g64^g29^-1 = g64,
3555    g64^g30 = g64*g73^-1,
3556    g64^g30^-1 = g64*g73,
3557    g64^g31 = g64*g73*g74^-2,
3558    g64^g31^-1 = g64*g73^-1*g74^2,
3559    g64^g32 = g64*g72^2*g73*g74^-2,
3560    g64^g32^-1 = g64*g72^-2*g73^-1*g74^2,
3561    g64^g33 = g64,
3562    g64^g33^-1 = g64,
3563    g64^g34 = g64,
3564    g64^g34^-1 = g64,
3565    g64^g35 = g64,
3566    g64^g35^-1 = g64,
3567    g64^g36 = g64,
3568    g64^g36^-1 = g64,
3569    g64^g37 = g64,
3570    g64^g37^-1 = g64,
3571    g64^g38 = g64,
3572    g64^g38^-1 = g64,
3573    g64^g39 = g64,
3574    g64^g39^-1 = g64,
3575    g64^g40 = g64,
3576    g64^g40^-1 = g64,
3577    g64^g41 = g64,
3578    g64^g41^-1 = g64,
3579    g64^g42 = g64,
3580    g64^g42^-1 = g64,
3581    g64^g43 = g64,
3582    g64^g43^-1 = g64,
3583    g64^g44 = g64,
3584    g64^g44^-1 = g64,
3585    g64^g45 = g64,
3586    g64^g45^-1 = g64,
3587    g64^g46 = g64,
3588    g64^g46^-1 = g64,
3589    g64^g47 = g64,
3590    g64^g47^-1 = g64,
3591    g64^g48 = g64,
3592    g64^g48^-1 = g64,
3593    g64^g49 = g64,
3594    g64^g49^-1 = g64,
3595    g64^g50 = g64,
3596    g64^g50^-1 = g64,
3597    g64^g51 = g64,
3598    g64^g51^-1 = g64,
3599    g64^g52 = g64,
3600    g64^g52^-1 = g64,
3601    g64^g53 = g64,
3602    g64^g53^-1 = g64,
3603    g64^g54 = g64,
3604    g64^g54^-1 = g64,
3605    g64^g55 = g64,
3606    g64^g55^-1 = g64,
3607    g64^g56 = g64,
3608    g64^g56^-1 = g64,
3609    g64^g57 = g64,
3610    g64^g57^-1 = g64,
3611    g64^g58 = g64,
3612    g64^g58^-1 = g64,
3613    g64^g59 = g64,
3614    g64^g59^-1 = g64,
3615    g64^g60 = g64,
3616    g64^g60^-1 = g64,
3617    g64^g61 = g64,
3618    g64^g61^-1 = g64,
3619    g64^g62 = g64,
3620    g64^g62^-1 = g64,
3621    g64^g63 = g64,
3622    g64^g63^-1 = g64,
3623    g65^g1 = g65,
3624    g65^g2 = g65^-1,
3625    g65^g3 = g65,
3626    g65^g4 = g65,
3627    g65^g5 = g65,
3628    g65^g6 = g65^-1,
3629    g65^g7 = g65,
3630    g65^g8 = g65,
3631    g65^g8^-1 = g65,
3632    g65^g9 = g63^3*g64^2*g65^-2,
3633    g65^g9^-1 = g63^-1,
3634    g65^g10 = g65,
3635    g65^g10^-1 = g65,
3636    g65^g11 = g65,
3637    g65^g11^-1 = g65,
3638    g65^g12 = g65,
3639    g65^g12^-1 = g65,
3640    g65^g13 = g63^-1,
3641    g65^g13^-1 = g63^3*g64^2*g65^-2,
3642    g65^g14 = g65,
3643    g65^g14^-1 = g65,
3644    g65^g15 = g65*g71,
3645    g65^g15^-1 = g65*g71^-1,
3646    g65^g16 = g65*g69^-2*g70^-1*g71^2,
3647    g65^g16^-1 = g65*g69^2*g70*g71^-2,
3648    g65^g17 = g65*g69^-3*g70^-2*g71^2,
3649    g65^g17^-1 = g65*g69^3*g70^2*g71^-2,
3650    g65^g18 = g65,
3651    g65^g18^-1 = g65,
3652    g65^g19 = g65,
3653    g65^g19^-1 = g65,
3654    g65^g20 = g65,
3655    g65^g20^-1 = g65,
3656    g65^g21 = g65,
3657    g65^g21^-1 = g65,
3658    g65^g22 = g65,
3659    g65^g22^-1 = g65,
3660    g65^g23 = g65,
3661    g65^g23^-1 = g65,
3662    g65^g24 = g65,
3663    g65^g24^-1 = g65,
3664    g65^g25 = g65,
3665    g65^g25^-1 = g65,
3666    g65^g26 = g65,
3667    g65^g26^-1 = g65,
3668    g65^g27 = g65,
3669    g65^g27^-1 = g65,
3670    g65^g28 = g65,
3671    g65^g28^-1 = g65,
3672    g65^g29 = g65,
3673    g65^g29^-1 = g65,
3674    g65^g30 = g65*g74^-1,
3675    g65^g30^-1 = g65*g74,
3676    g65^g31 = g65*g72^2*g73*g74^-2,
3677    g65^g31^-1 = g65*g72^-2*g73^-1*g74^2,
3678    g65^g32 = g65*g72^3*g73^2*g74^-2,
3679    g65^g32^-1 = g65*g72^-3*g73^-2*g74^2,
3680    g65^g33 = g65,
3681    g65^g33^-1 = g65,
3682    g65^g34 = g65,
3683    g65^g34^-1 = g65,
3684    g65^g35 = g65,
3685    g65^g35^-1 = g65,
3686    g65^g36 = g65,
3687    g65^g36^-1 = g65,
3688    g65^g37 = g65,
3689    g65^g37^-1 = g65,
3690    g65^g38 = g65,
3691    g65^g38^-1 = g65,
3692    g65^g39 = g65,
3693    g65^g39^-1 = g65,
3694    g65^g40 = g65,
3695    g65^g40^-1 = g65,
3696    g65^g41 = g65,
3697    g65^g41^-1 = g65,
3698    g65^g42 = g65,
3699    g65^g42^-1 = g65,
3700    g65^g43 = g65,
3701    g65^g43^-1 = g65,
3702    g65^g44 = g65,
3703    g65^g44^-1 = g65,
3704    g65^g45 = g65,
3705    g65^g45^-1 = g65,
3706    g65^g46 = g65,
3707    g65^g46^-1 = g65,
3708    g65^g47 = g65,
3709    g65^g47^-1 = g65,
3710    g65^g48 = g65,
3711    g65^g48^-1 = g65,
3712    g65^g49 = g65,
3713    g65^g49^-1 = g65,
3714    g65^g50 = g65,
3715    g65^g50^-1 = g65,
3716    g65^g51 = g65,
3717    g65^g51^-1 = g65,
3718    g65^g52 = g65,
3719    g65^g52^-1 = g65,
3720    g65^g53 = g65,
3721    g65^g53^-1 = g65,
3722    g65^g54 = g65,
3723    g65^g54^-1 = g65,
3724    g65^g55 = g65,
3725    g65^g55^-1 = g65,
3726    g65^g56 = g65,
3727    g65^g56^-1 = g65,
3728    g65^g57 = g65,
3729    g65^g57^-1 = g65,
3730    g65^g58 = g65,
3731    g65^g58^-1 = g65,
3732    g65^g59 = g65,
3733    g65^g59^-1 = g65,
3734    g65^g60 = g65,
3735    g65^g60^-1 = g65,
3736    g65^g61 = g65,
3737    g65^g61^-1 = g65,
3738    g65^g62 = g65,
3739    g65^g62^-1 = g65,
3740    g65^g63 = g65,
3741    g65^g63^-1 = g65,
3742    g65^g64 = g65,
3743    g65^g64^-1 = g65,
3744    g66^g1 = g66,
3745    g66^g2 = g66,
3746    g66^g3 = g66^-1,
3747    g66^g4 = g66,
3748    g66^g5 = g66,
3749    g66^g6 = g66,
3750    g66^g7 = g66^-1,
3751    g66^g8 = g66,
3752    g66^g8^-1 = g66,
3753    g66^g9 = g66,
3754    g66^g9^-1 = g66,
3755    g66^g10 = g68^-1,
3756    g66^g10^-1 = g66^-2*g67^2*g68^-1,
3757    g66^g11 = g66,
3758    g66^g11^-1 = g66,
3759    g66^g12 = g66,
3760    g66^g12^-1 = g66,
3761    g66^g13 = g66,
3762    g66^g13^-1 = g66,
3763    g66^g14 = g66^-2*g67^2*g68^-1,
3764    g66^g14^-1 = g68^-1,
3765    g66^g15 = g66,
3766    g66^g15^-1 = g66,
3767    g66^g16 = g66,
3768    g66^g16^-1 = g66,
3769    g66^g17 = g66,
3770    g66^g17^-1 = g66,
3771    g66^g18 = g66*g72,
3772    g66^g18^-1 = g66*g72^-1,
3773    g66^g19 = g66*g73,
3774    g66^g19^-1 = g66*g73^-1,
3775    g66^g20 = g66*g74,
3776    g66^g20^-1 = g66*g74^-1,
3777    g66^g21 = g66,
3778    g66^g21^-1 = g66,
3779    g66^g22 = g66,
3780    g66^g22^-1 = g66,
3781    g66^g23 = g66,
3782    g66^g23^-1 = g66,
3783    g66^g24 = g66,
3784    g66^g24^-1 = g66,
3785    g66^g25 = g66,
3786    g66^g25^-1 = g66,
3787    g66^g26 = g66,
3788    g66^g26^-1 = g66,
3789    g66^g27 = g66,
3790    g66^g27^-1 = g66,
3791    g66^g28 = g66,
3792    g66^g28^-1 = g66,
3793    g66^g29 = g66,
3794    g66^g29^-1 = g66,
3795    g66^g30 = g66,
3796    g66^g30^-1 = g66,
3797    g66^g31 = g66,
3798    g66^g31^-1 = g66,
3799    g66^g32 = g66,
3800    g66^g32^-1 = g66,
3801    g66^g33 = g66*g75,
3802    g66^g33^-1 = g66*g75^-1,
3803    g66^g34 = g66*g76,
3804    g66^g34^-1 = g66*g76^-1,
3805    g66^g35 = g66*g77,
3806    g66^g35^-1 = g66*g77^-1,
3807    g66^g36 = g66,
3808    g66^g36^-1 = g66,
3809    g66^g37 = g66,
3810    g66^g37^-1 = g66,
3811    g66^g38 = g66,
3812    g66^g38^-1 = g66,
3813    g66^g39 = g66,
3814    g66^g39^-1 = g66,
3815    g66^g40 = g66,
3816    g66^g40^-1 = g66,
3817    g66^g41 = g66,
3818    g66^g41^-1 = g66,
3819    g66^g42 = g66,
3820    g66^g42^-1 = g66,
3821    g66^g43 = g66,
3822    g66^g43^-1 = g66,
3823    g66^g44 = g66,
3824    g66^g44^-1 = g66,
3825    g66^g45 = g66,
3826    g66^g45^-1 = g66,
3827    g66^g46 = g66,
3828    g66^g46^-1 = g66,
3829    g66^g47 = g66,
3830    g66^g47^-1 = g66,
3831    g66^g48 = g66,
3832    g66^g48^-1 = g66,
3833    g66^g49 = g66,
3834    g66^g49^-1 = g66,
3835    g66^g50 = g66,
3836    g66^g50^-1 = g66,
3837    g66^g51 = g66,
3838    g66^g51^-1 = g66,
3839    g66^g52 = g66,
3840    g66^g52^-1 = g66,
3841    g66^g53 = g66,
3842    g66^g53^-1 = g66,
3843    g66^g54 = g66,
3844    g66^g54^-1 = g66,
3845    g66^g55 = g66,
3846    g66^g55^-1 = g66,
3847    g66^g56 = g66,
3848    g66^g56^-1 = g66,
3849    g66^g57 = g66,
3850    g66^g57^-1 = g66,
3851    g66^g58 = g66,
3852    g66^g58^-1 = g66,
3853    g66^g59 = g66,
3854    g66^g59^-1 = g66,
3855    g66^g60 = g66,
3856    g66^g60^-1 = g66,
3857    g66^g61 = g66,
3858    g66^g61^-1 = g66,
3859    g66^g62 = g66,
3860    g66^g62^-1 = g66,
3861    g66^g63 = g66,
3862    g66^g63^-1 = g66,
3863    g66^g64 = g66,
3864    g66^g64^-1 = g66,
3865    g66^g65 = g66,
3866    g66^g65^-1 = g66,
3867    g67^g1 = g67,
3868    g67^g2 = g67,
3869    g67^g3 = g67^-1,
3870    g67^g4 = g67,
3871    g67^g5 = g67,
3872    g67^g6 = g67,
3873    g67^g7 = g67^-1,
3874    g67^g8 = g67,
3875    g67^g8^-1 = g67,
3876    g67^g9 = g67,
3877    g67^g9^-1 = g67,
3878    g67^g10 = g66^2*g67*g68^-2,
3879    g67^g10^-1 = g66^2*g67^-3*g68^2,
3880    g67^g11 = g67,
3881    g67^g11^-1 = g67,
3882    g67^g12 = g67,
3883    g67^g12^-1 = g67,
3884    g67^g13 = g67,
3885    g67^g13^-1 = g67,
3886    g67^g14 = g66^2*g67^-3*g68^2,
3887    g67^g14^-1 = g66^2*g67*g68^-2,
3888    g67^g15 = g67,
3889    g67^g15^-1 = g67,
3890    g67^g16 = g67,
3891    g67^g16^-1 = g67,
3892    g67^g17 = g67,
3893    g67^g17^-1 = g67,
3894    g67^g18 = g67*g73,
3895    g67^g18^-1 = g67*g73^-1,
3896    g67^g19 = g67*g73^-1*g74^2,
3897    g67^g19^-1 = g67*g73*g74^-2,
3898    g67^g20 = g67*g72^-2*g73^-1*g74^2,
3899    g67^g20^-1 = g67*g72^2*g73*g74^-2,
3900    g67^g21 = g67,
3901    g67^g21^-1 = g67,
3902    g67^g22 = g67,
3903    g67^g22^-1 = g67,
3904    g67^g23 = g67,
3905    g67^g23^-1 = g67,
3906    g67^g24 = g67,
3907    g67^g24^-1 = g67,
3908    g67^g25 = g67,
3909    g67^g25^-1 = g67,
3910    g67^g26 = g67,
3911    g67^g26^-1 = g67,
3912    g67^g27 = g67,
3913    g67^g27^-1 = g67,
3914    g67^g28 = g67,
3915    g67^g28^-1 = g67,
3916    g67^g29 = g67,
3917    g67^g29^-1 = g67,
3918    g67^g30 = g67,
3919    g67^g30^-1 = g67,
3920    g67^g31 = g67,
3921    g67^g31^-1 = g67,
3922    g67^g32 = g67,
3923    g67^g32^-1 = g67,
3924    g67^g33 = g67*g76,
3925    g67^g33^-1 = g67*g76^-1,
3926    g67^g34 = g67*g76^-1*g77^2,
3927    g67^g34^-1 = g67*g76*g77^-2,
3928    g67^g35 = g67*g75^-2*g76^-1*g77^2,
3929    g67^g35^-1 = g67*g75^2*g76*g77^-2,
3930    g67^g36 = g67,
3931    g67^g36^-1 = g67,
3932    g67^g37 = g67,
3933    g67^g37^-1 = g67,
3934    g67^g38 = g67,
3935    g67^g38^-1 = g67,
3936    g67^g39 = g67,
3937    g67^g39^-1 = g67,
3938    g67^g40 = g67,
3939    g67^g40^-1 = g67,
3940    g67^g41 = g67,
3941    g67^g41^-1 = g67,
3942    g67^g42 = g67,
3943    g67^g42^-1 = g67,
3944    g67^g43 = g67,
3945    g67^g43^-1 = g67,
3946    g67^g44 = g67,
3947    g67^g44^-1 = g67,
3948    g67^g45 = g67,
3949    g67^g45^-1 = g67,
3950    g67^g46 = g67,
3951    g67^g46^-1 = g67,
3952    g67^g47 = g67,
3953    g67^g47^-1 = g67,
3954    g67^g48 = g67,
3955    g67^g48^-1 = g67,
3956    g67^g49 = g67,
3957    g67^g49^-1 = g67,
3958    g67^g50 = g67,
3959    g67^g50^-1 = g67,
3960    g67^g51 = g67,
3961    g67^g51^-1 = g67,
3962    g67^g52 = g67,
3963    g67^g52^-1 = g67,
3964    g67^g53 = g67,
3965    g67^g53^-1 = g67,
3966    g67^g54 = g67,
3967    g67^g54^-1 = g67,
3968    g67^g55 = g67,
3969    g67^g55^-1 = g67,
3970    g67^g56 = g67,
3971    g67^g56^-1 = g67,
3972    g67^g57 = g67,
3973    g67^g57^-1 = g67,
3974    g67^g58 = g67,
3975    g67^g58^-1 = g67,
3976    g67^g59 = g67,
3977    g67^g59^-1 = g67,
3978    g67^g60 = g67,
3979    g67^g60^-1 = g67,
3980    g67^g61 = g67,
3981    g67^g61^-1 = g67,
3982    g67^g62 = g67,
3983    g67^g62^-1 = g67,
3984    g67^g63 = g67,
3985    g67^g63^-1 = g67,
3986    g67^g64 = g67,
3987    g67^g64^-1 = g67,
3988    g67^g65 = g67,
3989    g67^g65^-1 = g67,
3990    g67^g66 = g67,
3991    g67^g66^-1 = g67,
3992    g68^g1 = g68,
3993    g68^g2 = g68,
3994    g68^g3 = g68^-1,
3995    g68^g4 = g68,
3996    g68^g5 = g68,
3997    g68^g6 = g68,
3998    g68^g7 = g68^-1,
3999    g68^g8 = g68,
4000    g68^g8^-1 = g68,
4001    g68^g9 = g68,
4002    g68^g9^-1 = g68,
4003    g68^g10 = g66^3*g67^2*g68^-2,
4004    g68^g10^-1 = g66^-1,
4005    g68^g11 = g68,
4006    g68^g11^-1 = g68,
4007    g68^g12 = g68,
4008    g68^g12^-1 = g68,
4009    g68^g13 = g68,
4010    g68^g13^-1 = g68,
4011    g68^g14 = g66^-1,
4012    g68^g14^-1 = g66^3*g67^2*g68^-2,
4013    g68^g15 = g68,
4014    g68^g15^-1 = g68,
4015    g68^g16 = g68,
4016    g68^g16^-1 = g68,
4017    g68^g17 = g68,
4018    g68^g17^-1 = g68,
4019    g68^g18 = g68*g74,
4020    g68^g18^-1 = g68*g74^-1,
4021    g68^g19 = g68*g72^-2*g73^-1*g74^2,
4022    g68^g19^-1 = g68*g72^2*g73*g74^-2,
4023    g68^g20 = g68*g72^-3*g73^-2*g74^2,
4024    g68^g20^-1 = g68*g72^3*g73^2*g74^-2,
4025    g68^g21 = g68,
4026    g68^g21^-1 = g68,
4027    g68^g22 = g68,
4028    g68^g22^-1 = g68,
4029    g68^g23 = g68,
4030    g68^g23^-1 = g68,
4031    g68^g24 = g68,
4032    g68^g24^-1 = g68,
4033    g68^g25 = g68,
4034    g68^g25^-1 = g68,
4035    g68^g26 = g68,
4036    g68^g26^-1 = g68,
4037    g68^g27 = g68,
4038    g68^g27^-1 = g68,
4039    g68^g28 = g68,
4040    g68^g28^-1 = g68,
4041    g68^g29 = g68,
4042    g68^g29^-1 = g68,
4043    g68^g30 = g68,
4044    g68^g30^-1 = g68,
4045    g68^g31 = g68,
4046    g68^g31^-1 = g68,
4047    g68^g32 = g68,
4048    g68^g32^-1 = g68,
4049    g68^g33 = g68*g77,
4050    g68^g33^-1 = g68*g77^-1,
4051    g68^g34 = g68*g75^-2*g76^-1*g77^2,
4052    g68^g34^-1 = g68*g75^2*g76*g77^-2,
4053    g68^g35 = g68*g75^-3*g76^-2*g77^2,
4054    g68^g35^-1 = g68*g75^3*g76^2*g77^-2,
4055    g68^g36 = g68,
4056    g68^g36^-1 = g68,
4057    g68^g37 = g68,
4058    g68^g37^-1 = g68,
4059    g68^g38 = g68,
4060    g68^g38^-1 = g68,
4061    g68^g39 = g68,
4062    g68^g39^-1 = g68,
4063    g68^g40 = g68,
4064    g68^g40^-1 = g68,
4065    g68^g41 = g68,
4066    g68^g41^-1 = g68,
4067    g68^g42 = g68,
4068    g68^g42^-1 = g68,
4069    g68^g43 = g68,
4070    g68^g43^-1 = g68,
4071    g68^g44 = g68,
4072    g68^g44^-1 = g68,
4073    g68^g45 = g68,
4074    g68^g45^-1 = g68,
4075    g68^g46 = g68,
4076    g68^g46^-1 = g68,
4077    g68^g47 = g68,
4078    g68^g47^-1 = g68,
4079    g68^g48 = g68,
4080    g68^g48^-1 = g68,
4081    g68^g49 = g68,
4082    g68^g49^-1 = g68,
4083    g68^g50 = g68,
4084    g68^g50^-1 = g68,
4085    g68^g51 = g68,
4086    g68^g51^-1 = g68,
4087    g68^g52 = g68,
4088    g68^g52^-1 = g68,
4089    g68^g53 = g68,
4090    g68^g53^-1 = g68,
4091    g68^g54 = g68,
4092    g68^g54^-1 = g68,
4093    g68^g55 = g68,
4094    g68^g55^-1 = g68,
4095    g68^g56 = g68,
4096    g68^g56^-1 = g68,
4097    g68^g57 = g68,
4098    g68^g57^-1 = g68,
4099    g68^g58 = g68,
4100    g68^g58^-1 = g68,
4101    g68^g59 = g68,
4102    g68^g59^-1 = g68,
4103    g68^g60 = g68,
4104    g68^g60^-1 = g68,
4105    g68^g61 = g68,
4106    g68^g61^-1 = g68,
4107    g68^g62 = g68,
4108    g68^g62^-1 = g68,
4109    g68^g63 = g68,
4110    g68^g63^-1 = g68,
4111    g68^g64 = g68,
4112    g68^g64^-1 = g68,
4113    g68^g65 = g68,
4114    g68^g65^-1 = g68,
4115    g68^g66 = g68,
4116    g68^g66^-1 = g68,
4117    g68^g67 = g68,
4118    g68^g67^-1 = g68,
4119    g69^g1 = g69^-1,
4120    g69^g2 = g69,
4121    g69^g3 = g69,
4122    g69^g4 = g69,
4123    g69^g5 = g69,
4124    g69^g6 = g69^-1,
4125    g69^g7 = g69,
4126    g69^g8 = g71^-1,
4127    g69^g8^-1 = g69^-2*g70^2*g71^-1,
4128    g69^g9 = g69,
4129    g69^g9^-1 = g69,
4130    g69^g10 = g69,
4131    g69^g10^-1 = g69,
4132    g69^g11 = g69,
4133    g69^g11^-1 = g69,
4134    g69^g12 = g69,
4135    g69^g12^-1 = g69,
4136    g69^g13 = g69^-2*g70^2*g71^-1,
4137    g69^g13^-1 = g71^-1,
4138    g69^g14 = g69,
4139    g69^g14^-1 = g69,
4140    g69^g15 = g69,
4141    g69^g15^-1 = g69,
4142    g69^g16 = g69,
4143    g69^g16^-1 = g69,
4144    g69^g17 = g69,
4145    g69^g17^-1 = g69,
4146    g69^g18 = g69,
4147    g69^g18^-1 = g69,
4148    g69^g19 = g69,
4149    g69^g19^-1 = g69,
4150    g69^g20 = g69,
4151    g69^g20^-1 = g69,
4152    g69^g21 = g69,
4153    g69^g21^-1 = g69,
4154    g69^g22 = g69,
4155    g69^g22^-1 = g69,
4156    g69^g23 = g69,
4157    g69^g23^-1 = g69,
4158    g69^g24 = g69,
4159    g69^g24^-1 = g69,
4160    g69^g25 = g69,
4161    g69^g25^-1 = g69,
4162    g69^g26 = g69,
4163    g69^g26^-1 = g69,
4164    g69^g27 = g69,
4165    g69^g27^-1 = g69,
4166    g69^g28 = g69,
4167    g69^g28^-1 = g69,
4168    g69^g29 = g69,
4169    g69^g29^-1 = g69,
4170    g69^g30 = g69*g75^-1,
4171    g69^g30^-1 = g69*g75,
4172    g69^g31 = g69*g76^-1,
4173    g69^g31^-1 = g69*g76,
4174    g69^g32 = g69*g77^-1,
4175    g69^g32^-1 = g69*g77,
4176    g69^g33 = g69,
4177    g69^g33^-1 = g69,
4178    g69^g34 = g69,
4179    g69^g34^-1 = g69,
4180    g69^g35 = g69,
4181    g69^g35^-1 = g69,
4182    g69^g36 = g69,
4183    g69^g36^-1 = g69,
4184    g69^g37 = g69,
4185    g69^g37^-1 = g69,
4186    g69^g38 = g69,
4187    g69^g38^-1 = g69,
4188    g69^g39 = g69,
4189    g69^g39^-1 = g69,
4190    g69^g40 = g69,
4191    g69^g40^-1 = g69,
4192    g69^g41 = g69,
4193    g69^g41^-1 = g69,
4194    g69^g42 = g69,
4195    g69^g42^-1 = g69,
4196    g69^g43 = g69,
4197    g69^g43^-1 = g69,
4198    g69^g44 = g69,
4199    g69^g44^-1 = g69,
4200    g69^g45 = g69,
4201    g69^g45^-1 = g69,
4202    g69^g46 = g69,
4203    g69^g46^-1 = g69,
4204    g69^g47 = g69,
4205    g69^g47^-1 = g69,
4206    g69^g48 = g69,
4207    g69^g48^-1 = g69,
4208    g69^g49 = g69,
4209    g69^g49^-1 = g69,
4210    g69^g50 = g69,
4211    g69^g50^-1 = g69,
4212    g69^g51 = g69,
4213    g69^g51^-1 = g69,
4214    g69^g52 = g69,
4215    g69^g52^-1 = g69,
4216    g69^g53 = g69,
4217    g69^g53^-1 = g69,
4218    g69^g54 = g69,
4219    g69^g54^-1 = g69,
4220    g69^g55 = g69,
4221    g69^g55^-1 = g69,
4222    g69^g56 = g69,
4223    g69^g56^-1 = g69,
4224    g69^g57 = g69,
4225    g69^g57^-1 = g69,
4226    g69^g58 = g69,
4227    g69^g58^-1 = g69,
4228    g69^g59 = g69,
4229    g69^g59^-1 = g69,
4230    g69^g60 = g69,
4231    g69^g60^-1 = g69,
4232    g69^g61 = g69,
4233    g69^g61^-1 = g69,
4234    g69^g62 = g69,
4235    g69^g62^-1 = g69,
4236    g69^g63 = g69,
4237    g69^g63^-1 = g69,
4238    g69^g64 = g69,
4239    g69^g64^-1 = g69,
4240    g69^g65 = g69,
4241    g69^g65^-1 = g69,
4242    g69^g66 = g69,
4243    g69^g66^-1 = g69,
4244    g69^g67 = g69,
4245    g69^g67^-1 = g69,
4246    g69^g68 = g69,
4247    g69^g68^-1 = g69,
4248    g70^g1 = g70^-1,
4249    g70^g2 = g70,
4250    g70^g3 = g70,
4251    g70^g4 = g70,
4252    g70^g5 = g70,
4253    g70^g6 = g70^-1,
4254    g70^g7 = g70,
4255    g70^g8 = g69^2*g70*g71^-2,
4256    g70^g8^-1 = g69^2*g70^-3*g71^2,
4257    g70^g9 = g70,
4258    g70^g9^-1 = g70,
4259    g70^g10 = g70,
4260    g70^g10^-1 = g70,
4261    g70^g11 = g70,
4262    g70^g11^-1 = g70,
4263    g70^g12 = g70,
4264    g70^g12^-1 = g70,
4265    g70^g13 = g69^2*g70^-3*g71^2,
4266    g70^g13^-1 = g69^2*g70*g71^-2,
4267    g70^g14 = g70,
4268    g70^g14^-1 = g70,
4269    g70^g15 = g70,
4270    g70^g15^-1 = g70,
4271    g70^g16 = g70,
4272    g70^g16^-1 = g70,
4273    g70^g17 = g70,
4274    g70^g17^-1 = g70,
4275    g70^g18 = g70,
4276    g70^g18^-1 = g70,
4277    g70^g19 = g70,
4278    g70^g19^-1 = g70,
4279    g70^g20 = g70,
4280    g70^g20^-1 = g70,
4281    g70^g21 = g70,
4282    g70^g21^-1 = g70,
4283    g70^g22 = g70,
4284    g70^g22^-1 = g70,
4285    g70^g23 = g70,
4286    g70^g23^-1 = g70,
4287    g70^g24 = g70,
4288    g70^g24^-1 = g70,
4289    g70^g25 = g70,
4290    g70^g25^-1 = g70,
4291    g70^g26 = g70,
4292    g70^g26^-1 = g70,
4293    g70^g27 = g70,
4294    g70^g27^-1 = g70,
4295    g70^g28 = g70,
4296    g70^g28^-1 = g70,
4297    g70^g29 = g70,
4298    g70^g29^-1 = g70,
4299    g70^g30 = g70*g76^-1,
4300    g70^g30^-1 = g70*g76,
4301    g70^g31 = g70*g76*g77^-2,
4302    g70^g31^-1 = g70*g76^-1*g77^2,
4303    g70^g32 = g70*g75^2*g76*g77^-2,
4304    g70^g32^-1 = g70*g75^-2*g76^-1*g77^2,
4305    g70^g33 = g70,
4306    g70^g33^-1 = g70,
4307    g70^g34 = g70,
4308    g70^g34^-1 = g70,
4309    g70^g35 = g70,
4310    g70^g35^-1 = g70,
4311    g70^g36 = g70,
4312    g70^g36^-1 = g70,
4313    g70^g37 = g70,
4314    g70^g37^-1 = g70,
4315    g70^g38 = g70,
4316    g70^g38^-1 = g70,
4317    g70^g39 = g70,
4318    g70^g39^-1 = g70,
4319    g70^g40 = g70,
4320    g70^g40^-1 = g70,
4321    g70^g41 = g70,
4322    g70^g41^-1 = g70,
4323    g70^g42 = g70,
4324    g70^g42^-1 = g70,
4325    g70^g43 = g70,
4326    g70^g43^-1 = g70,
4327    g70^g44 = g70,
4328    g70^g44^-1 = g70,
4329    g70^g45 = g70,
4330    g70^g45^-1 = g70,
4331    g70^g46 = g70,
4332    g70^g46^-1 = g70,
4333    g70^g47 = g70,
4334    g70^g47^-1 = g70,
4335    g70^g48 = g70,
4336    g70^g48^-1 = g70,
4337    g70^g49 = g70,
4338    g70^g49^-1 = g70,
4339    g70^g50 = g70,
4340    g70^g50^-1 = g70,
4341    g70^g51 = g70,
4342    g70^g51^-1 = g70,
4343    g70^g52 = g70,
4344    g70^g52^-1 = g70,
4345    g70^g53 = g70,
4346    g70^g53^-1 = g70,
4347    g70^g54 = g70,
4348    g70^g54^-1 = g70,
4349    g70^g55 = g70,
4350    g70^g55^-1 = g70,
4351    g70^g56 = g70,
4352    g70^g56^-1 = g70,
4353    g70^g57 = g70,
4354    g70^g57^-1 = g70,
4355    g70^g58 = g70,
4356    g70^g58^-1 = g70,
4357    g70^g59 = g70,
4358    g70^g59^-1 = g70,
4359    g70^g60 = g70,
4360    g70^g60^-1 = g70,
4361    g70^g61 = g70,
4362    g70^g61^-1 = g70,
4363    g70^g62 = g70,
4364    g70^g62^-1 = g70,
4365    g70^g63 = g70,
4366    g70^g63^-1 = g70,
4367    g70^g64 = g70,
4368    g70^g64^-1 = g70,
4369    g70^g65 = g70,
4370    g70^g65^-1 = g70,
4371    g70^g66 = g70,
4372    g70^g66^-1 = g70,
4373    g70^g67 = g70,
4374    g70^g67^-1 = g70,
4375    g70^g68 = g70,
4376    g70^g68^-1 = g70,
4377    g70^g69 = g70,
4378    g70^g69^-1 = g70,
4379    g71^g1 = g71^-1,
4380    g71^g2 = g71,
4381    g71^g3 = g71,
4382    g71^g4 = g71,
4383    g71^g5 = g71,
4384    g71^g6 = g71^-1,
4385    g71^g7 = g71,
4386    g71^g8 = g69^3*g70^2*g71^-2,
4387    g71^g8^-1 = g69^-1,
4388    g71^g9 = g71,
4389    g71^g9^-1 = g71,
4390    g71^g10 = g71,
4391    g71^g10^-1 = g71,
4392    g71^g11 = g71,
4393    g71^g11^-1 = g71,
4394    g71^g12 = g71,
4395    g71^g12^-1 = g71,
4396    g71^g13 = g69^-1,
4397    g71^g13^-1 = g69^3*g70^2*g71^-2,
4398    g71^g14 = g71,
4399    g71^g14^-1 = g71,
4400    g71^g15 = g71,
4401    g71^g15^-1 = g71,
4402    g71^g16 = g71,
4403    g71^g16^-1 = g71,
4404    g71^g17 = g71,
4405    g71^g17^-1 = g71,
4406    g71^g18 = g71,
4407    g71^g18^-1 = g71,
4408    g71^g19 = g71,
4409    g71^g19^-1 = g71,
4410    g71^g20 = g71,
4411    g71^g20^-1 = g71,
4412    g71^g21 = g71,
4413    g71^g21^-1 = g71,
4414    g71^g22 = g71,
4415    g71^g22^-1 = g71,
4416    g71^g23 = g71,
4417    g71^g23^-1 = g71,
4418    g71^g24 = g71,
4419    g71^g24^-1 = g71,
4420    g71^g25 = g71,
4421    g71^g25^-1 = g71,
4422    g71^g26 = g71,
4423    g71^g26^-1 = g71,
4424    g71^g27 = g71,
4425    g71^g27^-1 = g71,
4426    g71^g28 = g71,
4427    g71^g28^-1 = g71,
4428    g71^g29 = g71,
4429    g71^g29^-1 = g71,
4430    g71^g30 = g71*g77^-1,
4431    g71^g30^-1 = g71*g77,
4432    g71^g31 = g71*g75^2*g76*g77^-2,
4433    g71^g31^-1 = g71*g75^-2*g76^-1*g77^2,
4434    g71^g32 = g71*g75^3*g76^2*g77^-2,
4435    g71^g32^-1 = g71*g75^-3*g76^-2*g77^2,
4436    g71^g33 = g71,
4437    g71^g33^-1 = g71,
4438    g71^g34 = g71,
4439    g71^g34^-1 = g71,
4440    g71^g35 = g71,
4441    g71^g35^-1 = g71,
4442    g71^g36 = g71,
4443    g71^g36^-1 = g71,
4444    g71^g37 = g71,
4445    g71^g37^-1 = g71,
4446    g71^g38 = g71,
4447    g71^g38^-1 = g71,
4448    g71^g39 = g71,
4449    g71^g39^-1 = g71,
4450    g71^g40 = g71,
4451    g71^g40^-1 = g71,
4452    g71^g41 = g71,
4453    g71^g41^-1 = g71,
4454    g71^g42 = g71,
4455    g71^g42^-1 = g71,
4456    g71^g43 = g71,
4457    g71^g43^-1 = g71,
4458    g71^g44 = g71,
4459    g71^g44^-1 = g71,
4460    g71^g45 = g71,
4461    g71^g45^-1 = g71,
4462    g71^g46 = g71,
4463    g71^g46^-1 = g71,
4464    g71^g47 = g71,
4465    g71^g47^-1 = g71,
4466    g71^g48 = g71,
4467    g71^g48^-1 = g71,
4468    g71^g49 = g71,
4469    g71^g49^-1 = g71,
4470    g71^g50 = g71,
4471    g71^g50^-1 = g71,
4472    g71^g51 = g71,
4473    g71^g51^-1 = g71,
4474    g71^g52 = g71,
4475    g71^g52^-1 = g71,
4476    g71^g53 = g71,
4477    g71^g53^-1 = g71,
4478    g71^g54 = g71,
4479    g71^g54^-1 = g71,
4480    g71^g55 = g71,
4481    g71^g55^-1 = g71,
4482    g71^g56 = g71,
4483    g71^g56^-1 = g71,
4484    g71^g57 = g71,
4485    g71^g57^-1 = g71,
4486    g71^g58 = g71,
4487    g71^g58^-1 = g71,
4488    g71^g59 = g71,
4489    g71^g59^-1 = g71,
4490    g71^g60 = g71,
4491    g71^g60^-1 = g71,
4492    g71^g61 = g71,
4493    g71^g61^-1 = g71,
4494    g71^g62 = g71,
4495    g71^g62^-1 = g71,
4496    g71^g63 = g71,
4497    g71^g63^-1 = g71,
4498    g71^g64 = g71,
4499    g71^g64^-1 = g71,
4500    g71^g65 = g71,
4501    g71^g65^-1 = g71,
4502    g71^g66 = g71,
4503    g71^g66^-1 = g71,
4504    g71^g67 = g71,
4505    g71^g67^-1 = g71,
4506    g71^g68 = g71,
4507    g71^g68^-1 = g71,
4508    g71^g69 = g71,
4509    g71^g69^-1 = g71,
4510    g71^g70 = g71,
4511    g71^g70^-1 = g71,
4512    g72^g1 = g72,
4513    g72^g2 = g72^-1,
4514    g72^g3 = g72,
4515    g72^g4 = g72,
4516    g72^g5 = g72,
4517    g72^g6 = g72,
4518    g72^g7 = g72^-1,
4519    g72^g8 = g72,
4520    g72^g8^-1 = g72,
4521    g72^g9 = g74^-1,
4522    g72^g9^-1 = g72^-2*g73^2*g74^-1,
4523    g72^g10 = g72,
4524    g72^g10^-1 = g72,
4525    g72^g11 = g72,
4526    g72^g11^-1 = g72,
4527    g72^g12 = g72,
4528    g72^g12^-1 = g72,
4529    g72^g13 = g72,
4530    g72^g13^-1 = g72,
4531    g72^g14 = g72^-2*g73^2*g74^-1,
4532    g72^g14^-1 = g74^-1,
4533    g72^g15 = g72*g75,
4534    g72^g15^-1 = g72*g75^-1,
4535    g72^g16 = g72*g76,
4536    g72^g16^-1 = g72*g76^-1,
4537    g72^g17 = g72*g77,
4538    g72^g17^-1 = g72*g77^-1,
4539    g72^g18 = g72,
4540    g72^g18^-1 = g72,
4541    g72^g19 = g72,
4542    g72^g19^-1 = g72,
4543    g72^g20 = g72,
4544    g72^g20^-1 = g72,
4545    g72^g21 = g72,
4546    g72^g21^-1 = g72,
4547    g72^g22 = g72,
4548    g72^g22^-1 = g72,
4549    g72^g23 = g72,
4550    g72^g23^-1 = g72,
4551    g72^g24 = g72,
4552    g72^g24^-1 = g72,
4553    g72^g25 = g72,
4554    g72^g25^-1 = g72,
4555    g72^g26 = g72,
4556    g72^g26^-1 = g72,
4557    g72^g27 = g72,
4558    g72^g27^-1 = g72,
4559    g72^g28 = g72,
4560    g72^g28^-1 = g72,
4561    g72^g29 = g72,
4562    g72^g29^-1 = g72,
4563    g72^g30 = g72,
4564    g72^g30^-1 = g72,
4565    g72^g31 = g72,
4566    g72^g31^-1 = g72,
4567    g72^g32 = g72,
4568    g72^g32^-1 = g72,
4569    g72^g33 = g72,
4570    g72^g33^-1 = g72,
4571    g72^g34 = g72,
4572    g72^g34^-1 = g72,
4573    g72^g35 = g72,
4574    g72^g35^-1 = g72,
4575    g72^g36 = g72,
4576    g72^g36^-1 = g72,
4577    g72^g37 = g72,
4578    g72^g37^-1 = g72,
4579    g72^g38 = g72,
4580    g72^g38^-1 = g72,
4581    g72^g39 = g72,
4582    g72^g39^-1 = g72,
4583    g72^g40 = g72,
4584    g72^g40^-1 = g72,
4585    g72^g41 = g72,
4586    g72^g41^-1 = g72,
4587    g72^g42 = g72,
4588    g72^g42^-1 = g72,
4589    g72^g43 = g72,
4590    g72^g43^-1 = g72,
4591    g72^g44 = g72,
4592    g72^g44^-1 = g72,
4593    g72^g45 = g72,
4594    g72^g45^-1 = g72,
4595    g72^g46 = g72,
4596    g72^g46^-1 = g72,
4597    g72^g47 = g72,
4598    g72^g47^-1 = g72,
4599    g72^g48 = g72,
4600    g72^g48^-1 = g72,
4601    g72^g49 = g72,
4602    g72^g49^-1 = g72,
4603    g72^g50 = g72,
4604    g72^g50^-1 = g72,
4605    g72^g51 = g72,
4606    g72^g51^-1 = g72,
4607    g72^g52 = g72,
4608    g72^g52^-1 = g72,
4609    g72^g53 = g72,
4610    g72^g53^-1 = g72,
4611    g72^g54 = g72,
4612    g72^g54^-1 = g72,
4613    g72^g55 = g72,
4614    g72^g55^-1 = g72,
4615    g72^g56 = g72,
4616    g72^g56^-1 = g72,
4617    g72^g57 = g72,
4618    g72^g57^-1 = g72,
4619    g72^g58 = g72,
4620    g72^g58^-1 = g72,
4621    g72^g59 = g72,
4622    g72^g59^-1 = g72,
4623    g72^g60 = g72,
4624    g72^g60^-1 = g72,
4625    g72^g61 = g72,
4626    g72^g61^-1 = g72,
4627    g72^g62 = g72,
4628    g72^g62^-1 = g72,
4629    g72^g63 = g72,
4630    g72^g63^-1 = g72,
4631    g72^g64 = g72,
4632    g72^g64^-1 = g72,
4633    g72^g65 = g72,
4634    g72^g65^-1 = g72,
4635    g72^g66 = g72,
4636    g72^g66^-1 = g72,
4637    g72^g67 = g72,
4638    g72^g67^-1 = g72,
4639    g72^g68 = g72,
4640    g72^g68^-1 = g72,
4641    g72^g69 = g72,
4642    g72^g69^-1 = g72,
4643    g72^g70 = g72,
4644    g72^g70^-1 = g72,
4645    g72^g71 = g72,
4646    g72^g71^-1 = g72,
4647    g73^g1 = g73,
4648    g73^g2 = g73^-1,
4649    g73^g3 = g73,
4650    g73^g4 = g73,
4651    g73^g5 = g73,
4652    g73^g6 = g73,
4653    g73^g7 = g73^-1,
4654    g73^g8 = g73,
4655    g73^g8^-1 = g73,
4656    g73^g9 = g72^2*g73*g74^-2,
4657    g73^g9^-1 = g72^2*g73^-3*g74^2,
4658    g73^g10 = g73,
4659    g73^g10^-1 = g73,
4660    g73^g11 = g73,
4661    g73^g11^-1 = g73,
4662    g73^g12 = g73,
4663    g73^g12^-1 = g73,
4664    g73^g13 = g73,
4665    g73^g13^-1 = g73,
4666    g73^g14 = g72^2*g73^-3*g74^2,
4667    g73^g14^-1 = g72^2*g73*g74^-2,
4668    g73^g15 = g73*g76,
4669    g73^g15^-1 = g73*g76^-1,
4670    g73^g16 = g73*g76^-1*g77^2,
4671    g73^g16^-1 = g73*g76*g77^-2,
4672    g73^g17 = g73*g75^-2*g76^-1*g77^2,
4673    g73^g17^-1 = g73*g75^2*g76*g77^-2,
4674    g73^g18 = g73,
4675    g73^g18^-1 = g73,
4676    g73^g19 = g73,
4677    g73^g19^-1 = g73,
4678    g73^g20 = g73,
4679    g73^g20^-1 = g73,
4680    g73^g21 = g73,
4681    g73^g21^-1 = g73,
4682    g73^g22 = g73,
4683    g73^g22^-1 = g73,
4684    g73^g23 = g73,
4685    g73^g23^-1 = g73,
4686    g73^g24 = g73,
4687    g73^g24^-1 = g73,
4688    g73^g25 = g73,
4689    g73^g25^-1 = g73,
4690    g73^g26 = g73,
4691    g73^g26^-1 = g73,
4692    g73^g27 = g73,
4693    g73^g27^-1 = g73,
4694    g73^g28 = g73,
4695    g73^g28^-1 = g73,
4696    g73^g29 = g73,
4697    g73^g29^-1 = g73,
4698    g73^g30 = g73,
4699    g73^g30^-1 = g73,
4700    g73^g31 = g73,
4701    g73^g31^-1 = g73,
4702    g73^g32 = g73,
4703    g73^g32^-1 = g73,
4704    g73^g33 = g73,
4705    g73^g33^-1 = g73,
4706    g73^g34 = g73,
4707    g73^g34^-1 = g73,
4708    g73^g35 = g73,
4709    g73^g35^-1 = g73,
4710    g73^g36 = g73,
4711    g73^g36^-1 = g73,
4712    g73^g37 = g73,
4713    g73^g37^-1 = g73,
4714    g73^g38 = g73,
4715    g73^g38^-1 = g73,
4716    g73^g39 = g73,
4717    g73^g39^-1 = g73,
4718    g73^g40 = g73,
4719    g73^g40^-1 = g73,
4720    g73^g41 = g73,
4721    g73^g41^-1 = g73,
4722    g73^g42 = g73,
4723    g73^g42^-1 = g73,
4724    g73^g43 = g73,
4725    g73^g43^-1 = g73,
4726    g73^g44 = g73,
4727    g73^g44^-1 = g73,
4728    g73^g45 = g73,
4729    g73^g45^-1 = g73,
4730    g73^g46 = g73,
4731    g73^g46^-1 = g73,
4732    g73^g47 = g73,
4733    g73^g47^-1 = g73,
4734    g73^g48 = g73,
4735    g73^g48^-1 = g73,
4736    g73^g49 = g73,
4737    g73^g49^-1 = g73,
4738    g73^g50 = g73,
4739    g73^g50^-1 = g73,
4740    g73^g51 = g73,
4741    g73^g51^-1 = g73,
4742    g73^g52 = g73,
4743    g73^g52^-1 = g73,
4744    g73^g53 = g73,
4745    g73^g53^-1 = g73,
4746    g73^g54 = g73,
4747    g73^g54^-1 = g73,
4748    g73^g55 = g73,
4749    g73^g55^-1 = g73,
4750    g73^g56 = g73,
4751    g73^g56^-1 = g73,
4752    g73^g57 = g73,
4753    g73^g57^-1 = g73,
4754    g73^g58 = g73,
4755    g73^g58^-1 = g73,
4756    g73^g59 = g73,
4757    g73^g59^-1 = g73,
4758    g73^g60 = g73,
4759    g73^g60^-1 = g73,
4760    g73^g61 = g73,
4761    g73^g61^-1 = g73,
4762    g73^g62 = g73,
4763    g73^g62^-1 = g73,
4764    g73^g63 = g73,
4765    g73^g63^-1 = g73,
4766    g73^g64 = g73,
4767    g73^g64^-1 = g73,
4768    g73^g65 = g73,
4769    g73^g65^-1 = g73,
4770    g73^g66 = g73,
4771    g73^g66^-1 = g73,
4772    g73^g67 = g73,
4773    g73^g67^-1 = g73,
4774    g73^g68 = g73,
4775    g73^g68^-1 = g73,
4776    g73^g69 = g73,
4777    g73^g69^-1 = g73,
4778    g73^g70 = g73,
4779    g73^g70^-1 = g73,
4780    g73^g71 = g73,
4781    g73^g71^-1 = g73,
4782    g73^g72 = g73,
4783    g73^g72^-1 = g73,
4784    g74^g1 = g74,
4785    g74^g2 = g74^-1,
4786    g74^g3 = g74,
4787    g74^g4 = g74,
4788    g74^g5 = g74,
4789    g74^g6 = g74,
4790    g74^g7 = g74^-1,
4791    g74^g8 = g74,
4792    g74^g8^-1 = g74,
4793    g74^g9 = g72^3*g73^2*g74^-2,
4794    g74^g9^-1 = g72^-1,
4795    g74^g10 = g74,
4796    g74^g10^-1 = g74,
4797    g74^g11 = g74,
4798    g74^g11^-1 = g74,
4799    g74^g12 = g74,
4800    g74^g12^-1 = g74,
4801    g74^g13 = g74,
4802    g74^g13^-1 = g74,
4803    g74^g14 = g72^-1,
4804    g74^g14^-1 = g72^3*g73^2*g74^-2,
4805    g74^g15 = g74*g77,
4806    g74^g15^-1 = g74*g77^-1,
4807    g74^g16 = g74*g75^-2*g76^-1*g77^2,
4808    g74^g16^-1 = g74*g75^2*g76*g77^-2,
4809    g74^g17 = g74*g75^-3*g76^-2*g77^2,
4810    g74^g17^-1 = g74*g75^3*g76^2*g77^-2,
4811    g74^g18 = g74,
4812    g74^g18^-1 = g74,
4813    g74^g19 = g74,
4814    g74^g19^-1 = g74,
4815    g74^g20 = g74,
4816    g74^g20^-1 = g74,
4817    g74^g21 = g74,
4818    g74^g21^-1 = g74,
4819    g74^g22 = g74,
4820    g74^g22^-1 = g74,
4821    g74^g23 = g74,
4822    g74^g23^-1 = g74,
4823    g74^g24 = g74,
4824    g74^g24^-1 = g74,
4825    g74^g25 = g74,
4826    g74^g25^-1 = g74,
4827    g74^g26 = g74,
4828    g74^g26^-1 = g74,
4829    g74^g27 = g74,
4830    g74^g27^-1 = g74,
4831    g74^g28 = g74,
4832    g74^g28^-1 = g74,
4833    g74^g29 = g74,
4834    g74^g29^-1 = g74,
4835    g74^g30 = g74,
4836    g74^g30^-1 = g74,
4837    g74^g31 = g74,
4838    g74^g31^-1 = g74,
4839    g74^g32 = g74,
4840    g74^g32^-1 = g74,
4841    g74^g33 = g74,
4842    g74^g33^-1 = g74,
4843    g74^g34 = g74,
4844    g74^g34^-1 = g74,
4845    g74^g35 = g74,
4846    g74^g35^-1 = g74,
4847    g74^g36 = g74,
4848    g74^g36^-1 = g74,
4849    g74^g37 = g74,
4850    g74^g37^-1 = g74,
4851    g74^g38 = g74,
4852    g74^g38^-1 = g74,
4853    g74^g39 = g74,
4854    g74^g39^-1 = g74,
4855    g74^g40 = g74,
4856    g74^g40^-1 = g74,
4857    g74^g41 = g74,
4858    g74^g41^-1 = g74,
4859    g74^g42 = g74,
4860    g74^g42^-1 = g74,
4861    g74^g43 = g74,
4862    g74^g43^-1 = g74,
4863    g74^g44 = g74,
4864    g74^g44^-1 = g74,
4865    g74^g45 = g74,
4866    g74^g45^-1 = g74,
4867    g74^g46 = g74,
4868    g74^g46^-1 = g74,
4869    g74^g47 = g74,
4870    g74^g47^-1 = g74,
4871    g74^g48 = g74,
4872    g74^g48^-1 = g74,
4873    g74^g49 = g74,
4874    g74^g49^-1 = g74,
4875    g74^g50 = g74,
4876    g74^g50^-1 = g74,
4877    g74^g51 = g74,
4878    g74^g51^-1 = g74,
4879    g74^g52 = g74,
4880    g74^g52^-1 = g74,
4881    g74^g53 = g74,
4882    g74^g53^-1 = g74,
4883    g74^g54 = g74,
4884    g74^g54^-1 = g74,
4885    g74^g55 = g74,
4886    g74^g55^-1 = g74,
4887    g74^g56 = g74,
4888    g74^g56^-1 = g74,
4889    g74^g57 = g74,
4890    g74^g57^-1 = g74,
4891    g74^g58 = g74,
4892    g74^g58^-1 = g74,
4893    g74^g59 = g74,
4894    g74^g59^-1 = g74,
4895    g74^g60 = g74,
4896    g74^g60^-1 = g74,
4897    g74^g61 = g74,
4898    g74^g61^-1 = g74,
4899    g74^g62 = g74,
4900    g74^g62^-1 = g74,
4901    g74^g63 = g74,
4902    g74^g63^-1 = g74,
4903    g74^g64 = g74,
4904    g74^g64^-1 = g74,
4905    g74^g65 = g74,
4906    g74^g65^-1 = g74,
4907    g74^g66 = g74,
4908    g74^g66^-1 = g74,
4909    g74^g67 = g74,
4910    g74^g67^-1 = g74,
4911    g74^g68 = g74,
4912    g74^g68^-1 = g74,
4913    g74^g69 = g74,
4914    g74^g69^-1 = g74,
4915    g74^g70 = g74,
4916    g74^g70^-1 = g74,
4917    g74^g71 = g74,
4918    g74^g71^-1 = g74,
4919    g74^g72 = g74,
4920    g74^g72^-1 = g74,
4921    g74^g73 = g74,
4922    g74^g73^-1 = g74,
4923    g75^g1 = g75^-1,
4924    g75^g2 = g75,
4925    g75^g3 = g75,
4926    g75^g4 = g75,
4927    g75^g5 = g75,
4928    g75^g6 = g75,
4929    g75^g7 = g75^-1,
4930    g75^g8 = g77^-1,
4931    g75^g8^-1 = g75^-2*g76^2*g77^-1,
4932    g75^g9 = g75,
4933    g75^g9^-1 = g75,
4934    g75^g10 = g75,
4935    g75^g10^-1 = g75,
4936    g75^g11 = g75,
4937    g75^g11^-1 = g75,
4938    g75^g12 = g75,
4939    g75^g12^-1 = g75,
4940    g75^g13 = g75,
4941    g75^g13^-1 = g75,
4942    g75^g14 = g75^-2*g76^2*g77^-1,
4943    g75^g14^-1 = g77^-1,
4944    g75^g15 = g75,
4945    g75^g15^-1 = g75,
4946    g75^g16 = g75,
4947    g75^g16^-1 = g75,
4948    g75^g17 = g75,
4949    g75^g17^-1 = g75,
4950    g75^g18 = g75,
4951    g75^g18^-1 = g75,
4952    g75^g19 = g75,
4953    g75^g19^-1 = g75,
4954    g75^g20 = g75,
4955    g75^g20^-1 = g75,
4956    g75^g21 = g75,
4957    g75^g21^-1 = g75,
4958    g75^g22 = g75,
4959    g75^g22^-1 = g75,
4960    g75^g23 = g75,
4961    g75^g23^-1 = g75,
4962    g75^g24 = g75,
4963    g75^g24^-1 = g75,
4964    g75^g25 = g75,
4965    g75^g25^-1 = g75,
4966    g75^g26 = g75,
4967    g75^g26^-1 = g75,
4968    g75^g27 = g75,
4969    g75^g27^-1 = g75,
4970    g75^g28 = g75,
4971    g75^g28^-1 = g75,
4972    g75^g29 = g75,
4973    g75^g29^-1 = g75,
4974    g75^g30 = g75,
4975    g75^g30^-1 = g75,
4976    g75^g31 = g75,
4977    g75^g31^-1 = g75,
4978    g75^g32 = g75,
4979    g75^g32^-1 = g75,
4980    g75^g33 = g75,
4981    g75^g33^-1 = g75,
4982    g75^g34 = g75,
4983    g75^g34^-1 = g75,
4984    g75^g35 = g75,
4985    g75^g35^-1 = g75,
4986    g75^g36 = g75,
4987    g75^g36^-1 = g75,
4988    g75^g37 = g75,
4989    g75^g37^-1 = g75,
4990    g75^g38 = g75,
4991    g75^g38^-1 = g75,
4992    g75^g39 = g75,
4993    g75^g39^-1 = g75,
4994    g75^g40 = g75,
4995    g75^g40^-1 = g75,
4996    g75^g41 = g75,
4997    g75^g41^-1 = g75,
4998    g75^g42 = g75,
4999    g75^g42^-1 = g75,
5000    g75^g43 = g75,
5001    g75^g43^-1 = g75,
5002    g75^g44 = g75,
5003    g75^g44^-1 = g75,
5004    g75^g45 = g75,
5005    g75^g45^-1 = g75,
5006    g75^g46 = g75,
5007    g75^g46^-1 = g75,
5008    g75^g47 = g75,
5009    g75^g47^-1 = g75,
5010    g75^g48 = g75,
5011    g75^g48^-1 = g75,
5012    g75^g49 = g75,
5013    g75^g49^-1 = g75,
5014    g75^g50 = g75,
5015    g75^g50^-1 = g75,
5016    g75^g51 = g75,
5017    g75^g51^-1 = g75,
5018    g75^g52 = g75,
5019    g75^g52^-1 = g75,
5020    g75^g53 = g75,
5021    g75^g53^-1 = g75,
5022    g75^g54 = g75,
5023    g75^g54^-1 = g75,
5024    g75^g55 = g75,
5025    g75^g55^-1 = g75,
5026    g75^g56 = g75,
5027    g75^g56^-1 = g75,
5028    g75^g57 = g75,
5029    g75^g57^-1 = g75,
5030    g75^g58 = g75,
5031    g75^g58^-1 = g75,
5032    g75^g59 = g75,
5033    g75^g59^-1 = g75,
5034    g75^g60 = g75,
5035    g75^g60^-1 = g75,
5036    g75^g61 = g75,
5037    g75^g61^-1 = g75,
5038    g75^g62 = g75,
5039    g75^g62^-1 = g75,
5040    g75^g63 = g75,
5041    g75^g63^-1 = g75,
5042    g75^g64 = g75,
5043    g75^g64^-1 = g75,
5044    g75^g65 = g75,
5045    g75^g65^-1 = g75,
5046    g75^g66 = g75,
5047    g75^g66^-1 = g75,
5048    g75^g67 = g75,
5049    g75^g67^-1 = g75,
5050    g75^g68 = g75,
5051    g75^g68^-1 = g75,
5052    g75^g69 = g75,
5053    g75^g69^-1 = g75,
5054    g75^g70 = g75,
5055    g75^g70^-1 = g75,
5056    g75^g71 = g75,
5057    g75^g71^-1 = g75,
5058    g75^g72 = g75,
5059    g75^g72^-1 = g75,
5060    g75^g73 = g75,
5061    g75^g73^-1 = g75,
5062    g75^g74 = g75,
5063    g75^g74^-1 = g75,
5064    g76^g1 = g76^-1,
5065    g76^g2 = g76,
5066    g76^g3 = g76,
5067    g76^g4 = g76,
5068    g76^g5 = g76,
5069    g76^g6 = g76,
5070    g76^g7 = g76^-1,
5071    g76^g8 = g75^2*g76*g77^-2,
5072    g76^g8^-1 = g75^2*g76^-3*g77^2,
5073    g76^g9 = g76,
5074    g76^g9^-1 = g76,
5075    g76^g10 = g76,
5076    g76^g10^-1 = g76,
5077    g76^g11 = g76,
5078    g76^g11^-1 = g76,
5079    g76^g12 = g76,
5080    g76^g12^-1 = g76,
5081    g76^g13 = g76,
5082    g76^g13^-1 = g76,
5083    g76^g14 = g75^2*g76^-3*g77^2,
5084    g76^g14^-1 = g75^2*g76*g77^-2,
5085    g76^g15 = g76,
5086    g76^g15^-1 = g76,
5087    g76^g16 = g76,
5088    g76^g16^-1 = g76,
5089    g76^g17 = g76,
5090    g76^g17^-1 = g76,
5091    g76^g18 = g76,
5092    g76^g18^-1 = g76,
5093    g76^g19 = g76,
5094    g76^g19^-1 = g76,
5095    g76^g20 = g76,
5096    g76^g20^-1 = g76,
5097    g76^g21 = g76,
5098    g76^g21^-1 = g76,
5099    g76^g22 = g76,
5100    g76^g22^-1 = g76,
5101    g76^g23 = g76,
5102    g76^g23^-1 = g76,
5103    g76^g24 = g76,
5104    g76^g24^-1 = g76,
5105    g76^g25 = g76,
5106    g76^g25^-1 = g76,
5107    g76^g26 = g76,
5108    g76^g26^-1 = g76,
5109    g76^g27 = g76,
5110    g76^g27^-1 = g76,
5111    g76^g28 = g76,
5112    g76^g28^-1 = g76,
5113    g76^g29 = g76,
5114    g76^g29^-1 = g76,
5115    g76^g30 = g76,
5116    g76^g30^-1 = g76,
5117    g76^g31 = g76,
5118    g76^g31^-1 = g76,
5119    g76^g32 = g76,
5120    g76^g32^-1 = g76,
5121    g76^g33 = g76,
5122    g76^g33^-1 = g76,
5123    g76^g34 = g76,
5124    g76^g34^-1 = g76,
5125    g76^g35 = g76,
5126    g76^g35^-1 = g76,
5127    g76^g36 = g76,
5128    g76^g36^-1 = g76,
5129    g76^g37 = g76,
5130    g76^g37^-1 = g76,
5131    g76^g38 = g76,
5132    g76^g38^-1 = g76,
5133    g76^g39 = g76,
5134    g76^g39^-1 = g76,
5135    g76^g40 = g76,
5136    g76^g40^-1 = g76,
5137    g76^g41 = g76,
5138    g76^g41^-1 = g76,
5139    g76^g42 = g76,
5140    g76^g42^-1 = g76,
5141    g76^g43 = g76,
5142    g76^g43^-1 = g76,
5143    g76^g44 = g76,
5144    g76^g44^-1 = g76,
5145    g76^g45 = g76,
5146    g76^g45^-1 = g76,
5147    g76^g46 = g76,
5148    g76^g46^-1 = g76,
5149    g76^g47 = g76,
5150    g76^g47^-1 = g76,
5151    g76^g48 = g76,
5152    g76^g48^-1 = g76,
5153    g76^g49 = g76,
5154    g76^g49^-1 = g76,
5155    g76^g50 = g76,
5156    g76^g50^-1 = g76,
5157    g76^g51 = g76,
5158    g76^g51^-1 = g76,
5159    g76^g52 = g76,
5160    g76^g52^-1 = g76,
5161    g76^g53 = g76,
5162    g76^g53^-1 = g76,
5163    g76^g54 = g76,
5164    g76^g54^-1 = g76,
5165    g76^g55 = g76,
5166    g76^g55^-1 = g76,
5167    g76^g56 = g76,
5168    g76^g56^-1 = g76,
5169    g76^g57 = g76,
5170    g76^g57^-1 = g76,
5171    g76^g58 = g76,
5172    g76^g58^-1 = g76,
5173    g76^g59 = g76,
5174    g76^g59^-1 = g76,
5175    g76^g60 = g76,
5176    g76^g60^-1 = g76,
5177    g76^g61 = g76,
5178    g76^g61^-1 = g76,
5179    g76^g62 = g76,
5180    g76^g62^-1 = g76,
5181    g76^g63 = g76,
5182    g76^g63^-1 = g76,
5183    g76^g64 = g76,
5184    g76^g64^-1 = g76,
5185    g76^g65 = g76,
5186    g76^g65^-1 = g76,
5187    g76^g66 = g76,
5188    g76^g66^-1 = g76,
5189    g76^g67 = g76,
5190    g76^g67^-1 = g76,
5191    g76^g68 = g76,
5192    g76^g68^-1 = g76,
5193    g76^g69 = g76,
5194    g76^g69^-1 = g76,
5195    g76^g70 = g76,
5196    g76^g70^-1 = g76,
5197    g76^g71 = g76,
5198    g76^g71^-1 = g76,
5199    g76^g72 = g76,
5200    g76^g72^-1 = g76,
5201    g76^g73 = g76,
5202    g76^g73^-1 = g76,
5203    g76^g74 = g76,
5204    g76^g74^-1 = g76,
5205    g76^g75 = g76,
5206    g76^g75^-1 = g76,
5207    g77^g1 = g77^-1,
5208    g77^g2 = g77,
5209    g77^g3 = g77,
5210    g77^g4 = g77,
5211    g77^g5 = g77,
5212    g77^g6 = g77,
5213    g77^g7 = g77^-1,
5214    g77^g8 = g75^3*g76^2*g77^-2,
5215    g77^g8^-1 = g75^-1,
5216    g77^g9 = g77,
5217    g77^g9^-1 = g77,
5218    g77^g10 = g77,
5219    g77^g10^-1 = g77,
5220    g77^g11 = g77,
5221    g77^g11^-1 = g77,
5222    g77^g12 = g77,
5223    g77^g12^-1 = g77,
5224    g77^g13 = g77,
5225    g77^g13^-1 = g77,
5226    g77^g14 = g75^-1,
5227    g77^g14^-1 = g75^3*g76^2*g77^-2,
5228    g77^g15 = g77,
5229    g77^g15^-1 = g77,
5230    g77^g16 = g77,
5231    g77^g16^-1 = g77,
5232    g77^g17 = g77,
5233    g77^g17^-1 = g77,
5234    g77^g18 = g77,
5235    g77^g18^-1 = g77,
5236    g77^g19 = g77,
5237    g77^g19^-1 = g77,
5238    g77^g20 = g77,
5239    g77^g20^-1 = g77,
5240    g77^g21 = g77,
5241    g77^g21^-1 = g77,
5242    g77^g22 = g77,
5243    g77^g22^-1 = g77,
5244    g77^g23 = g77,
5245    g77^g23^-1 = g77,
5246    g77^g24 = g77,
5247    g77^g24^-1 = g77,
5248    g77^g25 = g77,
5249    g77^g25^-1 = g77,
5250    g77^g26 = g77,
5251    g77^g26^-1 = g77,
5252    g77^g27 = g77,
5253    g77^g27^-1 = g77,
5254    g77^g28 = g77,
5255    g77^g28^-1 = g77,
5256    g77^g29 = g77,
5257    g77^g29^-1 = g77,
5258    g77^g30 = g77,
5259    g77^g30^-1 = g77,
5260    g77^g31 = g77,
5261    g77^g31^-1 = g77,
5262    g77^g32 = g77,
5263    g77^g32^-1 = g77,
5264    g77^g33 = g77,
5265    g77^g33^-1 = g77,
5266    g77^g34 = g77,
5267    g77^g34^-1 = g77,
5268    g77^g35 = g77,
5269    g77^g35^-1 = g77,
5270    g77^g36 = g77,
5271    g77^g36^-1 = g77,
5272    g77^g37 = g77,
5273    g77^g37^-1 = g77,
5274    g77^g38 = g77,
5275    g77^g38^-1 = g77,
5276    g77^g39 = g77,
5277    g77^g39^-1 = g77,
5278    g77^g40 = g77,
5279    g77^g40^-1 = g77,
5280    g77^g41 = g77,
5281    g77^g41^-1 = g77,
5282    g77^g42 = g77,
5283    g77^g42^-1 = g77,
5284    g77^g43 = g77,
5285    g77^g43^-1 = g77,
5286    g77^g44 = g77,
5287    g77^g44^-1 = g77,
5288    g77^g45 = g77,
5289    g77^g45^-1 = g77,
5290    g77^g46 = g77,
5291    g77^g46^-1 = g77,
5292    g77^g47 = g77,
5293    g77^g47^-1 = g77,
5294    g77^g48 = g77,
5295    g77^g48^-1 = g77,
5296    g77^g49 = g77,
5297    g77^g49^-1 = g77,
5298    g77^g50 = g77,
5299    g77^g50^-1 = g77,
5300    g77^g51 = g77,
5301    g77^g51^-1 = g77,
5302    g77^g52 = g77,
5303    g77^g52^-1 = g77,
5304    g77^g53 = g77,
5305    g77^g53^-1 = g77,
5306    g77^g54 = g77,
5307    g77^g54^-1 = g77,
5308    g77^g55 = g77,
5309    g77^g55^-1 = g77,
5310    g77^g56 = g77,
5311    g77^g56^-1 = g77,
5312    g77^g57 = g77,
5313    g77^g57^-1 = g77,
5314    g77^g58 = g77,
5315    g77^g58^-1 = g77,
5316    g77^g59 = g77,
5317    g77^g59^-1 = g77,
5318    g77^g60 = g77,
5319    g77^g60^-1 = g77,
5320    g77^g61 = g77,
5321    g77^g61^-1 = g77,
5322    g77^g62 = g77,
5323    g77^g62^-1 = g77,
5324    g77^g63 = g77,
5325    g77^g63^-1 = g77,
5326    g77^g64 = g77,
5327    g77^g64^-1 = g77,
5328    g77^g65 = g77,
5329    g77^g65^-1 = g77,
5330    g77^g66 = g77,
5331    g77^g66^-1 = g77,
5332    g77^g67 = g77,
5333    g77^g67^-1 = g77,
5334    g77^g68 = g77,
5335    g77^g68^-1 = g77,
5336    g77^g69 = g77,
5337    g77^g69^-1 = g77,
5338    g77^g70 = g77,
5339    g77^g70^-1 = g77,
5340    g77^g71 = g77,
5341    g77^g71^-1 = g77,
5342    g77^g72 = g77,
5343    g77^g72^-1 = g77,
5344    g77^g73 = g77,
5345    g77^g73^-1 = g77,
5346    g77^g74 = g77,
5347    g77^g74^-1 = g77,
5348    g77^g75 = g77,
5349    g77^g75^-1 = g77,
5350    g77^g76 = g77,
5351    g77^g76^-1 = g77
5352>;
5353