Details Page for 0.1524

Complete Solution is Known:

MSV File: q-0.1524.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₁(0.1524):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a²=1, b⁴=b², b²c²=b², bc⁴=bc², c⁵=c³, b²d=ab², cd=ac³, bd²=bc², d³=ad², be=abc², ce=ac³, de=d², e²=d², bf=b²c, c²f=bc, cf²=b²c, d²f²=b², ef²=ab², f⁴=f², b²g=ab³, bc³g=bcg, c⁴g=c²g, bdg=abc²g, eg=ad²g, cfg=bc²g, dfg=abcg, f²g=ab³, bg²=b³, c³g²=cg², dg²=ac²g², fg²=b³c, g³=ab³, b²h=ab³, ch=abc, bdh=b², d²h=abc², eh=bc², dfh=b²c, f²h=ab³, dgh=bg, fgh=b³c, g²h=abgh, dh²=bh, bh³=bh, fh³=fh, h⁴=h², b²i=b²c, c³i=ci, d²i=c²i, ei=ac²i, fi=bci, bc²gi=bgi, dgi=ac²gi, c²g²i=g²i, hi=abi, bi²=b³, c²i²=i², di²=ai², gi²=abci, i³=b²c, bj=bc³, c²j=c³, dj=ac³, ej=ac³, cfj=bc³, f²j=b²c, cgj=c²g, fgj=bc²g, g²j=cg², fhj=bgh², ghj=afg, ij=ci, j²=c⁴, bk=abc³, c²k=ac³, dk=c³, ek=c³, fk=abc², g²k=acg², ghk=fg, h²k=fh, ik=aci, cjk=ac³, gjk=ac²g, hjk=fj, k²=c⁴, bl=ab²c, cl=abc², el=ad²l, dgl=agl, fgl=b³, g²l=ab³c, hl=h²j, il=abci, jl=abc², kl=fj, l²=af³l, b²m=b³c, bc²m=b²c, c³m=bc², d²fm=ad²fl, efm=dfm, f²m=b³c, bgm=ab³c, c²gm=bcg, dgm=gl, fgm=ab³, g²m=b³c, bhm=ab³c, dhm=abdm, fhm=ab³, ghm=b³c, h²m=fh², cim=bc²i, bdim=abcm, i²m=b³c, jm=fj, cgkm=afg, hkm=b², dlm=adfm, flm=ab³c, glm=b³, m²=b², bn=b²c, cn=bc², en=ad²n, d²fn=b², gn=bcg, hn=ab²c, in=bci, jn=bc², kn=abc², dln=adfn, fln=af²n, mn=ad²fl, n²=b²>

P = {a, b², c², c⁴, d², ae, df, f², df³, ag, abcg, cg², ah, ah², agh², ah³, agh³, ci, ag²i, i², aj, ahj, ah³j, ack, al, ad²l, dfl, af³l, df³l, bm, ac²m, ad²m, adfm, abim, gim, gkm, an, adfn, af³n, aln}

Phi = 1 a a 1 b b b c c 1 d e f g b h i j k l m n

Monoid Structure