Details Page for 0.7123

Complete Solution is Known:

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

MSV File: q-0.7123.msv

Growth Pattern:

Heap	Q-Size	P-Size
1	2	1
2	6	2
8	8	2
12	12	3
16	18	4
20	24	6
24	32	7
28	40	10
32	50	11
36	60	15
40	72	16
44	84	21
48	98	22
52	112	28
56	128	29
60	144	36
64	162	37
68	180	45
72	200	46
76	220	55
80	242	56
84	264	66
88	288	67
92	312	78
96	338	79
100	364	91
104	392	92
108	420	105
112	450	106

(Click on a heap to see details)

Details for Q₁₆(0.7123):

Q = <a,b,c,d,e | a²=1, b⁵=b³, bc=b³, c²=b⁴, b²d=b³, cd=b³, d²=b⁴, be=d, ce=bd, de=b³, e²=b⁴>

P = {a, b², b⁴, d}

Phi = 1 a b a b ab 1 ab c ac b ab² d ab³ b² ab³ e ab⁴ b³ ab⁴

Monoid Structure

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