Details Page for 0.7162

Complete Solution is Known:

Period:
Preperiod:
Quotient Size:	402
P-Portion Size:	94
Tame?	No

MSV File: q-0.7162.msv

Growth Pattern:

Heap	Q-Size	P-Size
1	2	1
2	6	2
11	8	2
23	12	3
27	18	4
31	22	5
35	28	6
39	34	8
43	42	9
47	50	12
51	60	13
55	70	17
59	82	18
63	94	23
67	108	24
71	122	30
75	138	31
79	154	38
83	172	39
87	190	47
91	210	48
95	230	57
99	252	58
103	274	68
107	298	69
111	322	80
115	348	81
119	374	93
123	402	94

(Click on a heap to see details)

Details for Q₂₇(0.7162):

Q = <a,b,c,d,e,f | a²=1, b⁵=b³, bc=ab³, c²=b⁴, bd=ab³, cd=b⁴, d²=b⁴, be=d, ce=b³, de=b³, e²=b⁴, bf=e, cf=ad, df=b⁴, ef=b³, f²=b⁴>

P = {a, b², b⁴, ae}

Phi = 1 a b a 1 ab 1 ab b a b c ac ab ac ab³ b³ ab² b³ d b⁴ ab³ b⁴ e b³ ab⁴ b³ f b⁴ ab³ b⁴

Monoid Structure

Idempotent	\|G\|	\|Arch\|
1	2	2
b⁴ *	4	16