Details Page for 0.7305

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1200
P-Portion Size:   167
Tame?   No

MSV File: q-0.7305.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
5123
7163
8245
14328
155612
169216
1733653
1840067
1941869
2049691
2150091
22834129
23838129
24876134
25908143
261098153
281126164
291176165
321200167

(Click on a heap to see details)

Details for Q19(0.7305):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a2=1, b5=b3, b3c2=b3, c4=c2, b2d=ab4, bc2d=bd, d2=b4, b3e=b3c, bde=ab3c, be2=b3, ce2=b4c, de2=ab4, e3=b4c, bf=b2, df=bd, e2f=b3, f2=e2, bg=b2c, c3g=cg, dg=ab3c, e2g=b3c, fg=b2c, g2=b4, b2h=ab4, bdh=abd, c2dh=dh, c2eh=eh, e2h=ab4, fh=bh, c2gh=gh, egh=ab3, h2=ah, b2i=b3, bc2i=bi, di=ab3, ei=c2ef, fi=b4, gi=b2c3, bhi=ab4, i2=b4, bj=b2c, dj=ab3c, e2j=b3c, fj=b2c, gj=b4, c2hj=hj, ehj=bceh, ij=b2c3, j2=b4, bk=bd, c2k=k, dek=deh, e2k=ab4, fk=bd, gk=ab3c, dhk=adk, ik=ab3, jk=ab3c, dk2=adk, ek2=ehk, hk2=ak2, k3=ak2, b2l=ab3, dl=b3, c2el=el, e2l=ab3, fl=bl, gl=bel, bhl=abl, chl=acl, ehl=ael, il=bl, c2jl=jl, ejl=bcel, hjl=ajl, kl=b3, l2=b4, b2m=b3c, bc2m=bm, c3m=cm, bdm=bel, c2dm=dm, em=abceh, fm=bm, gm=abcel, c2hm=hm, dhm=adm, bim=b3c, c2im=im, him=bel, jm=b4, km=dm, lm=jl, m2=b4, b3n=ab3, dn=ab2n, hn=abl, c2in=in, kn=abin, ln=b3, bmn=b2c2en, c2mn=mn, imn=b2c2en, n2=b4, b2o=b4c, bc2o=abeh, do=bel, eo=b4, fo=bo, go=b3, bho=abo, c2ho=ac2o, io=bo, jo=b3, ko=bel, mo=b3, bno=ab3c, c2no=bel, o2=b4, bp=b2n, dp=b3, cep=egn, e2p=ab3, fp=b2n, cgp=ab4, egp=ab4, hp=b3, cip=bcin, jp=ab4c, kp=b3, lp=ae2n, cmp=b2c3en, imp=ab3c, np=b3, op=ab3c, p2=b4>

P = {a, b2, b4, ac, ac2, b2c2, ac3, ae, ace, b2ce, ac2e, ac3e, b2c3e, e2, h, ch, c2h, c3h, eh, ceh, bi, k, ck, ek, ahk, achk, aehk, ak2, ack2, al, acl, ac2l, ac3l, ael, acel, hl, abm, abcm, bhm, bchm, bn, bcn, bc2n, bc3n, aben, ab2cen, bc3en, fn, cfn, c2fn, c3fn, aefn, c3efn, abin, ajn, ac2jn, ac3ejn, acmn, ao, aco, ac2o, ac3o, ho, cho, lo, abclo, ac3lo, agp, mp}

Phi = 1 a b ab a c b d e f g h i j k l m n o p

Monoid Structure

Idempotent  |G|  |Arch|
122
b4 *8390
c246
ah22
ac2h46
k2412