fixed points
1	22
2	10213223
3	10311233
4	10313314
5	10313315
6	10313316
7	10313317
8	21322314
9	21322315
10	21322316
11	21322317
12	31123314
13	31123315
14	31123316
15	31123317
16	31331415
17	31331416
18	31331417
19	31331516
20	31331517
21	31331617
22	1031223314
23	1031223315
24	1031223316
25	1031223317
26	3122331415
27	3122331416
28	3122331417
29	3122331516
30	3122331517
31	3122331617
32	10413223241516
33	10413223241517
34	10413223241617
35	41322324151617
36	101111213141516
37	101111213141517
38	101111213141617
39	101111213151617
40	101111214151617
41	101111314151617
42	111121314151617
43	1051322314251617
44	10111221314151617
	

cycles with length 2
1	103142132415	104122232415
2	103142132416	104122232416
3	103142132417	104122232417
4	314213241516	412223241516
5	314213241517	412223241517
6	314213241617	412223241617
7	1051421314152617	1061221324251617


cycles with length 3	
1	10414213142516	10512223142516	10512213341516
2	10414213142517	10512223142517	10512213341517
3	41421314251617	51222314251617	51221334151617