Details Page for 0.7315

Complete Solution is Known:

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

MSV File: q-0.7315.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 Q21(0.7315):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a2=1, b5=b3, b3c2=b3, c4=c2, b2d=ab4, bc2d=bd, d2=b4, b3e=b3c, bde=ab3c, be2=b3, c3e2=ce2, de2=ab4, e3=b4c, bf=b2, df=bd, e2f=b3, cf2=b4c, ef2=b4c, f3=b3, 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, bh2=abh, dh2=adh, gh2=agh, h3=ah2, b2i=b3, bc2i=bi, di=ab3, c2ei=ei, e2i=b3, fi=b4, c2gi=gi, egi=bcei, bhi=ab4, ehi=beh, ghi=ab4c, h2i=ahi, i2=b4, bj=b2c, dj=ab3c, e2j=b3c, fj=b2c, c2gj=gj, egj=ce2, c2hj=hj, ehj=bceh, ghj=ab4, h2j=ahj, ij=gi, j2=gj, bk=bd, c2k=k, dek=deh, e2k=ab4, fk=bd, gk=ab3c, dhk=adk, h2k=ahk, 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, h2l=ahl, 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, h2m=ahm, bim=b3c, c2im=im, him=bel, jm=c2e2, km=dm, lm=jl, m2=b4, b3n=ab3, dn=ab2n, ce2n=ab4c, f2n=e2n, hn=abl, c2in=in, ein=c2efn, gin=b2c3n, gjn=ab4, kn=abin, ln=b3, bmn=b2c2en, c2mn=mn, imn=b2c2en, n2=b4, b2o=b4c, bc2o=abeh, do=bel, eo=c2e2, fo=bo, go=b3, bho=abo, h2o=aho, 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, eip=b2c2en, gip=ab3c, jp=ab4c, kp=b3, lp=ae2n, cmp=b2c3en, imp=ab3c, np=b3, op=ab3c, p2=b4, b2q=b2c2n, c2q=q, dq=ab2c2n, e2q=b2c3en, f2q=ab4, bhq=b3, ehq=ab2c2en, ghq=b3c, h2q=bcel, iq=ab3, jq=bcq, kq=ab2c2n, lq=b3, bmq=b2c2en, hmq=b3c, nq=b4, oq=b2c3n, pq=b3, q2=b4, br=b3c, cr=gj, dr=ab4c, e2r=b4c, fr=b3c, gr=b3, hr=ab4c, ir=b3c, jr=b3, kr=ab4c, lr=ab3c, mr=b3, nr=ab4c, or=b4, pr=ab3c, qr=b2c3n, r2=b4>

P = {a, b2, b4, ac, ac2, b2c2, ac3, ae, ace, b2ce, ac2e, ac3e, b2c3e, e2, c2e2, f2, h, ch, c2h, c3h, eh, ceh, ah2, ach2, ac2h2, ac3h2, aeh2, aceh2, bi, bcei, cgi, gj, 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, c2ho, c3ho, lo, abclo, ac3lo, agp, mp, bq, bcq, beq, bceq, fq, cfq, efq, cefq, amq}

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

Monoid Structure

Idempotent  |G|  |Arch|
122
b4 *8464
c246
h224
c2h2412
k2412