Details Page for 0.3153

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   646
P-Portion Size:   72
Tame?   No

MSV File: q-0.3153.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
982
13143
17225
21467
277810
3111815
3564672

(Click on a heap to see details)

Details for Q31(0.3153):

Q = <a,b,c,d,e,f,g,h | a2=1, b3=b, bc=ab, c2=b2, cd=ab2d, b2d2=d2, d4=d2, b2e=e, ce=ae, d2e=ad2, e2=d2, b2f=f, cf=af, d2f=d3, f2=b2, b2g=g, cg=ag, d3g=dg, deg=adg, dfg=d2g, d2g2=g2, eg2=ag2, fg2=dg2, g3=ag2, b2h=h, ch=ah, deh=ad3h, d2gh=gh, egh=agh, fgh=dgh, g2h=abg2, h2=g2>

P = {a, b2, ad, d2, abe, af, bef, dg, abefg, g2, ah, ad2h, beh, fh, adgh}

Phi = 1 a b a b ab b2 b b2 c b ab2 b d ab2d ab b2 e b2 ab2 b f b ab b2 ab b2 g ab2d ab2 b h b ab b2

Monoid Structure

Idempotent  |G|  |Arch|
122
b2810
d2834
g2 *872