Details Page for 0.7153

Complete Solution is Known:

Period:
Preperiod:
Quotient Size:	450
P-Portion Size:	106
Tame?	No

MSV File: q-0.7153.msv

Growth Pattern:

Heap	Q-Size	P-Size
1	2	1
2	6	2
9	8	2
13	12	3
17	18	4
21	24	6
25	32	7
29	40	10
33	50	11
37	60	15
41	72	16
45	84	21
49	98	22
53	112	28
57	128	29
61	144	36
65	162	37
69	180	45
73	200	46
77	220	55
81	242	56
85	264	66
89	288	67
93	312	78
97	338	79
101	364	91
105	392	92
109	420	105
113	450	106

(Click on a heap to see details)

Details for Q₂₁(0.7153):

Q = <a,b,c,d,e,f | a²=1, b⁶=b⁴, bc=ab³, c²=b⁴, b²d=ab⁵, cd=b⁵, d²=b⁴, b²e=bd, ce=abd, de=b⁵, e²=b⁴, bf=e, cf=abe, df=abd, ef=b⁵, f²=b⁴>

P = {a, b², b⁴, ad, abe, af}

Phi = 1 a b a b ab b² ab b² c b³ ab² b³ d b⁴ ab³ b⁴ e b⁵ ab⁴ b⁵ f b⁴ ab⁵ b⁴

Monoid Structure

Idempotent	\|G\|	\|Arch\|
1	2	2
b⁴ *	4	22