Details Page for 0.7315

Complete Solution is Known:

MSV File: q-0.7315.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₉(0.7315):

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