Details Page for 0.7316

Complete Solution is Known:

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

MSV File: q-0.7316.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 Q161(0.7316):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | 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, b2n=n, c2n=n, dn=an, en=cn, fn=an, gn=cn, hn=cn, in=an, jn=an, kn=cn, ln=an, n2=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 n ab2c ab2 n ab2c ab2 bcm ab2c abm bcm n abm abcm n abm abcm ab abm ab2 ab n ab2 bc n acm bc ab acm ab2 ab bm ab2 n bm ab2 n ab ab2 abcm ab cn abcm ab cn ab2 ab bm ab2 b2c bm ab2 b2c b ab2 b2c b n b2c b n am b ab am bn ab abc bn bm abc m bm n m ab2 n am ab2 n am bcn n an bcn bm an m bm abm m acm abm abc acm amn abc m amn abcm m b2c abcm ab b2c bn ab ab2c bn abcm ab2c bm abcm ab2c bm abcm ab2c b2c abcm n b2c bm n ab bm abcm ab mn abcm n mn bcm n b2c bcm cmn b2c bn cmn abc bn bcm abc acn bcm n acn bcm n cm bcm ab2 cm acm ab2 abm acm ab2 abm acn ab2 bm acn ab2 bm abm ab2 bcn abm n bcn ab n m ab acn m bm acn m bm amn m cmn amn n cmn ab2c n m ab2c amn m

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *32126
c244
d2412
e2410
i248