Details Page for 0.4164

Complete Solution is Known:

MSV File: q-0.4164.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₃(0.4164):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b³=b, b²c=c, c³=ac², c²d=ac², b²d²=d², cd²=acd, d³=ad², b²e=e, ce=c², de=c², e²=c², b²f=f, c²f=ac², cdf=ac², ef=cf, df²=cf², f³=af², b²g=g, cfg=aeg, c²g²=c², g³=g, b²h=h, cgh=agh, dgh=agh, egh=agh, fgh=agh, g²h=c²h, c²h²=c², gh²=c²g, h³=h, b²i=i, c²i=bc², cfi=aei, dfi=aei, f²i=afi, cdhi=abd²fh, ghi=bgh, i²=c², b²j=j, cj=bd²f, dj=aj, ej=abc², fj=abc², ghj=bgh, ij=c², j²=c², b²k=k, ck=abcdgi, dk=ak, ek=ac²g, fk=ac²g, g²k=k, hk=gh, ik=bc²g, jk=bc²g, k²=c², b²l=l, c²l=c²h, cdl=acl, d²l=adl, el=ac²h, cfl=c²h, gl=gh, h²l=l, cil=abdfl, fil=ehi, jl=adil, kl=gh, l²=c², b²m=m, c²m=c²h, cdm=acl, d²m=adl, cf²m=cf²h, gm=gh, h²m=m, dim=ail, eim=ehi, jm=adil, km=gh, lm=aehm, cm²=cf²h², dm²=cf²h², em²=cf²h², im²=afhim, m³=f²hm², b²n=n, c²n=bc², cdn=bc², en=cn, cfn=acn, dfn=acn, f²n=afn, ghn=bgh, d²hin=dfl, jn=d²in, kn=bc²g, ln=achn, mn=afhn, n²=c², b²o=o, c²o=abc²g, cdo=aco, d²o=ado, eo=bc²g, cfo=abc²g, f²o=egi, g²o=o, ho=abgh, cio=abdfo, dio=aio, fio=c²g, ko=bgjo, lo=abgh, mo=abgh, no=cgin, o²=c²>

P = {a, b², abc, c², ab²d, bcd, d², ae, cf, f², acf², acg, cdg, afg, dfg, ad²fg, g², abcg², adg², bcdg², d²g², aeg², f²g², bch, abcdh, bfh, abdfh, bd²fh, h², abch², adh², bcdh², d²h², aeh², cfh², f²h², acf²h², abi, bfi, bgi, abdgi, bd²gi, abegi, abfgi, ahi, chi, dhi, ad²hi, fhi, abh²i, bfh²i, bj, bg²j, bh²j, gk, bhl, abchl, abdhl, bhm, abchm, abdhm, aehm, fhm, abhim, bfhim, m², f²m², abn, bfn, bgn, abcgn, abdgn, bd²gn, abfgn, abh²n, bfh²n, ain, fin, gin, acgin, adgin, d²gin, afgin, ah²in, fh²in, abo, bdo, bfo, cgo, agjo}

Phi = 1 1 a a gh gh agh b b c d bgh abgh agh gh gh e f g abgh bgh bgh h i j c²g k ac²g l m ac²h bc² n o bgh bgh abgh

Monoid Structure