Details Page for 0.0544

Complete Solution is Known:

MSV File: q-0.0544.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₅(0.0544):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b⁴=b², bc²=b, c³=c, b²d=ab², bd²=b³, c²d²=d², d³=ab², b²e=ab², bde=b³, d²e=ad², e²=ae, b²f=b²c, c²df=df, c²ef=ef, c²f²=f², d²f²=b², def²=cd²f, f³=b²c, bg=bd, c²dg=dg, d²g=ab², c²eg=eg, deg=ab², df²g=b², ef²g=b², g²=dg, b²h=b³c, bdh=ab²c, cdh=ab³, d²h=b³c, beh=abh, ceh=ach, deh=adh, c²fh=fh, dfh=ab³, efh=afh, gh=ab³c, h²=b², b²i=ab³c, c²di=di, d²i=ab³c, ei=abce, cgi=cdi, dgi=ab³c, f²gi=df²i, hi=abch, i²=b², c²dj=dj, dhj=ab³cj, bf²hj=d²fj, bdf²ij=dfgj, b²j²=b², d²j²=d², dej²=c²de, dgj²=dg, egj²=eg, bf²j³=bf²j, ef²j³=ef²j, ehj³=ahj³, f²hj³=f²hj, dj⁴=dj², ej⁴=ej², f²j⁴=f²j², gj⁴=gj², hj⁴=aehj², bj⁵=bj³, fj⁵=fj³, j⁶=j⁴, bk=abcd, dk=ad²f, c²ek=ek, c²fk=fk, efk=abfh, c²gk=gk, egk=efg, fgk=acdfg, hk=b³, cik=adi, fik=acdfi, gik=b³, f²jk=acdf²j, gj²k=gk, fj⁴k=fj²k, ij⁴k=ij²k, k²=b², bl=ab³c, c²l=l, dl=cd², efl=afl, f²l=abf²h, gl=b²c, hl=ab³, il=b³, fj⁴l=fj²l, kl=ab², l²=b², b²m=ab²c, bdm=abdf, c²dm=dm, d²m=ab²c, bem=abef, dem=abcfhj², c²fm=fm, dfm=adf², efm=aef², f²m=ab²c, dgm=ab²c, egm=aefg, fgm=af²g, bhm=abfh, dhm=b³, ehm=ahm, fhm=af²h, dim=adfi, gim=afgi, bfj³m=bfjm, j⁴m=j²m, c²km=km, ekm=bfh, fkm=af²k, gkm=b², ikm=cdfi, elm=abfh, flm=bf²h, bm²=abfm, c²m²=m², dm²=df², fm²=b²c, gm²=f²g, im²=afim, km²=f²k, lm²=abf²h, m³=ab²c, bn=bd, dn=b², c²en=en, f²n=f²g, c²gn=gn, egn=agn, fgn=d²f, hn=ab³c, in=gi, gj²n=gn, ej³n=ejn, j⁴n=j²n, c²kn=kn, ekn=akn, fkn=ab², gkn=d²f, j²kn=kn, ln=b²c, emn=aefj²n, fmn=af²g, gmn=ad²f, jmn=afjn, kmn=b², m²n=f²g, n²=b², bo=bd, do=b², eo=cefg, f²o=f²g, go=bdfij², cho=ab³, fho=ab³, io=gi, hj³o=ab³cj, fj⁴o=fj²o, j⁵o=j³o, ko=ab²c, lo=b²c, mo=afo, no=cd²f, o²=b², bp=bd, dp=b², c²fp=fp, efp=bcfh, f²p=acf²k, gp=bdfij², chp=ab³, fhp=ab³, c²ip=ip, ehjp=ahjp, hj³p=hjp, j⁴p=j²p, kp=ab²c, lp=b²c, c²mp=mp, emp=abcfh, hmp=b³, fj³mp=fjmp, m²p=afmp, np=cd²f, op=b², p²=b², bq=b²c, c²q=q, dq=bdf, efq=bef², f²q=b³c, gq=bdf, ehq=ahq, fhq=bf²h, ej³q=ejq, fj³q=fjq, hj³q=hjq, j⁵q=j³q, kq=abcdf, lq=ab³, emq=abef², fmq=bcdf², hmq=abf²h, j³mq=jmq, m²q=abcdf², nq=bdf, oq=bdf, pq=bdf, q²=b²>

P = {a, b², c², acd, d², ae, ac²e, cde, acf, df, adef, f², aef², ag, ac²g, dg, eg, cfg, cefg, af²g, bch, adh, bfh, bcf²h, abci, bcdi, abfi, bdfi, abcf²i, bcdf²i, acdj, cdej, adfj, defj, j², c²j², acdj², aej², ac²ej², dfj², f²j², aef²j², agj², ac²gj², cfgj², af²gj², achj², afhj², acf²hj², bcij², bfij², bcf²ij², acdj³, adfj³, bhj³, bcfhj³, bdij³, bcdfij³, acdf²ij³, afgij³, j⁴, c²j⁴, abcij⁴, abfij⁴, ij⁵, c²ij⁵, cf²k, acgk, jk, c²jk, j³k, c²j³k, aej³k, cfj³k, aij³k, acl, cel, aj³l, ej³l, acfj³l, acm, cem, afm, cgm, bim, bcfim, djm, acj²m, cej²m, afj²m, cgj²m, hj²m, c²hj²m, bij²m, bcfij²m, dj³m, hj³m, acij³m, afij³m, lm, m², aem², j²m², aej²m², achj²m², achj³m², acn, cen, cgn, cgjn, aj²n, ac²j²n, ej²n, acfj²n, cefj²n, cmn, acjo, acfj²o, ahj²o, aj⁴o, ac²j⁴o, ep, c²ep, ahp, acjp, ahj²p, acj³p, cej³p, afj³p, fmp, j³mp, hq, aiq, acfiq, ij²q, cfij²q, cimq}

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

Monoid Structure