Details Page for 0.1067

Complete Solution is Known:

MSV File: q-0.1067.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₁(0.1067):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b⁴=b², b²c²=b², c⁵=c³, b²d=ab², bc⁴d=bc²d, d²=b², be=b²c, c³e=bc⁴, cde=bd, ce²=b²c, de²=ab², e⁴=e², bf=b²c, c³f=bc⁴, df=de, cef=b²c, cf²=b²c, e²f²=f², f³=ef², b²g=b²c, bc⁴g=bc²g, dg=ab²c, ceg=bg, e²g=b²c, fg=eg, g²=b², bh=ab³, c⁴h=c²h, dh=b², ceh=ab³, cfh=ab³, e²fh=ae²f, f²h=af², gh=ab²c, c²h²=b², eh²=aeh, fh²=afh, h³=ah², b²i=ab², bdi=abd, c²di=ac²d, dei=ade, e²i=af², fi=ei, gi=ab²c, chi=ac³h, ehi=ef², h²i=af², bci²=ac²ei, c³i²=ac³i, di²=adi, cei²=bi², hi²=ahi, i³=ai², b²j=ab², bc³j=bcj, c⁴j=c²j, c²ej=bcj, fj=ej, gj=ab²c, c³hj=chj, ehj=ae³j, h²j=e²j, dij=adj, ceij=bij, hij=ahj, i²j=aij, j²=b², b²k=ab³, bc²dk=ac²h, e²k=ab³, efk=ab³, f²k=ab³, hk=b³, bcdjk=achj, k²=b², bl=ab², c⁴l=c²l, dl=abd, el=ab²c, fl=ab²c, gl=abg, hl=b³, il=bi², jl=bij, l²=b², b²m=ab²c, bc²m=abcij, bdm=dej, cdm=dj, c²em=abij, e²m=ab²c, fm=em, gm=ab², chm=c²hj, ehm=b³, h²m=ach², bim=acem, c²im=ac²m, dim=adm, ceim=acem, him=achj, i²m=aim, jm=b²c, c²km=acijk, cekm=aeijk, cikm=ijk, lm=acem, m²=b², bn=b³c, c²n=b²c, dn=ab²c, en=b³, fn=b³, gn=b², hn=an, in=ab²c, jn=ab²c, kn=ab³c, ln=ab³c, mn=acn, n²=b², bo=abgk, do=adej, eo=aegk, fo=aegk, go=b³, ho=ab³c, io=cem, jo=ab³c, ko=aejk, lo=bgk, mo=ab³, no=b³, o²=b², bp=b²c, c³p=abc²j, c²dp=abcdj, ep=b², fp=b², hp=ab³c, ip=cem, jp=ab³c, lp=ab²c, mp=ab³, np=b³, op=agkp, p²=b², bq=b²c, cq=al, dq=de, eq=b², fq=b², gq=eg, hq=ab³c, i²q=aiq, jq=cem, ikq=aei²k, lq=ab²c, mq=aeim, nq=b³, oq=aegk, pq=b², q²=b², r=ab³>

P = {a, b², c², c⁴, ad, ac²d, ac⁴d, ae, ae², ae³, f², cg, c³g, ach, ac³h, e³h, aefh, h², ai, ac²i, ac⁴i, di, i², c²i², ac²j, dj, c²dj, ej, e³j, c²ij, aeij, abk, ac²k, bc³k, bdk, ac²ek, abcgk, aegk, bik, c²ik, bc⁴ik, abi²k, bjk, c²jk, abdjk, abijk, abc²ijk, kl, ac³kl, ckm, adekm, aeikm, n, ac⁴o, c²kp, agkp}

Phi = 1 a 1 1 b b b ab c a a d e f b b al g b²c h i j k l l m b²c n b²c o p q ab³

Monoid Structure