Details Page for 0.7246

Complete Solution is Known:

Period:
Preperiod:
Quotient Size:	2454
P-Portion Size:	54
Tame?	No

MSV File: q-0.7246.msv

Growth Pattern:

Heap	Q-Size	P-Size
1	2	1
3	6	2
5	10	2
8	16	3
14	32	5
16	64	10
17	112	16
20	124	16
21	176	26
23	252	36
24	268	37
25	280	39
31	284	40
33	300	40
37	318	42
40	334	43
42	350	44
45	398	48
54	414	50
55	430	52
85	438	54
88	470	54
194	534	54
414	662	54
916	918	54
1968	1430	54
4286	2454	54

(Click on a heap to see details)

Details for Q₁₆(0.7246):

Q = <a,b,c,d,e,f,g | a²=1, b³=b, c²=b², bd=abc, cd²=c, d³=d, e=ab², f²=1, bg=abc, cg=cd, dg³=d²g², g⁴=g²>

P = {a, b², d, ad², acf, df, ag, g², d²g², ag³}

Phi = 1 a 1 b ab bc abc c d ab² b ab bc abc f b²c g

Monoid Structure

Idempotent	\|G\|	\|Arch\|
1	4	4
b² *	16	24
d²	8	8
g²	8	12
d²g²	8	16