Details Page for 0.7306

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   386
P-Portion Size:   29
Tame?   No

MSV File: q-0.7306.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
5123
7163
8245
11287
176614
2112227
2313829
4314629
16116229
35319429
100125829
275738629

(Click on a heap to see details)

Details for Q43(0.7306):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a2=1, b3=b, bc2=b, c3=c, bd=ab, c2d=d, d3=ad2, be=bc, c2e=e, d2e=cd2, de2=ad2, e3=ce2, bf=ab, c2f=f, d2f=adf, ef=acdf, f2=b2, bg=bc, cg=e2, dg=acd2, eg=e2, fg=acdf, g2=e2, bh=bc, d2h=adh, eh=ch, dfh=afh, gh=ch, h2=b2, bi=ab, c2i=i, d2i=adi, ei=ci, dfi=afi, gi=ci, di2=ab2, fi2=ab2, i3=ai2, bj=ab, c2j=j, dj=b2, ej=cj, fj=b2, gj=cj, ij=aj, j2=chi2, bk=bc, c2k=k, dk=acfi, ek=ck, fk=ab2c, gk=ck, i2k=aik, k2=b2, bl=ab, c2l=l, dl=b2, el=cl, fl=b2, gl=cl, hl=hj, il=al, l2=b2, b2m=m, c2m=m, dm=am, em=cm, fm=am, gm=cm, hm=cm, im=am, jm=am, km=cm, lm=am, m2=b2>

P = {a, b2, ac, ac2, d2, ae, ace, e2, df, g, h, ch, acdh, acfh, ci, acdi, hi, adhi, i2, chi2, aj, achj, ack, ahk, cik, hik, cjk, al, jl}

Phi = 1 a b ab b2 c ab d e b f g b bc h b bc i b ab j k ab l b2c ab l b2c ab b b2c ab2c b abc ab2c ab abc ab2c ab bc ab2c ab bc m ab bc m b2c bc abc b2c bm abc ab2c bm bc ab2c b2c bc m b2c bc m ab bc abc ab ab2 abc b ab2 bc b b2c bc b b2c m b ab m am ab ab2 am b ab2 bcm b abm bcm b abm bcm b ab bcm ab2 ab bc ab2 ab bc ab2 ab bc ab2 bcm bc am bcm ab am ab2 ab bc ab2 ab bc ab2 ab bc ab2 b2c bc abc b2c ab2c abc ab2 ab2c abc ab2 b2c abc ab2 b2c bm ab2 ab2c bm bc ab2c bm bc abcm bm abc abcm b2c abc m b2c acm m b2c acm m b2c ab2c m

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *16110
c244
d2412
e2410
i248