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 Q₃₀(0.1067):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | 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, bg=b², c⁴g=c²g, dg=bd, eg=b²c, fg=b²c, g²=b², b²h=b²c, bc⁴h=bc²h, dh=ab²c, ceh=bh, e²h=b²c, fh=eh, gh=bh, h²=b², bi=ab³, c⁴i=c²i, di=b², cei=ab³, cfi=ab³, e²fi=ae²f, f²i=af², gi=ab³, hi=ab²c, c²i²=b², ei²=aei, fi²=afi, i³=ai², b²j=ab², bdj=abd, c²dj=ac²d, dej=ade, e²j=af², fj=ej, cgj=c²ej, hj=ab²c, cij=ac³i, eij=ef², i²j=af², bj²=agj, c³j²=ac³j, dj²=adj, cej²=agj, gj²=agj, ij²=aij, j³=aj², b²k=ab², bc³k=bck, c⁴k=c²k, c²ek=bck, fk=ek, c³gk=cgk, hk=ab²c, c³ik=cik, eik=ae³k, i²k=e²k, bjk=agk, djk=adk, cejk=agk, gjk=agk, ijk=aik, j²k=ajk, k²=b², b²l=ab³, bc²dl=ac²i, e²l=ab³, efl=ab³, f²l=ab³, il=b³, bcdkl=acik, l²=b², m=ag, b²n=ab²c, bc²n=cgk, bdn=dek, cdn=dk, c²en=gk, e²n=ab²c, fn=en, gn=cen, hn=ab², cin=c²ik, ein=b³, i²n=aci², bjn=acen, c²jn=ac²n, djn=adn, cejn=acen, ijn=acik, j²n=ajn, kn=b²c, c²ln=acjkl, celn=aejkl, cjln=jkl, n²=b², bo=b³c, c²o=b²c, do=ab²c, eo=b³, fo=b³, go=b³c, ho=b², io=ao, jo=ab²c, ko=ab²c, lo=ab³c, no=aco, o²=b², bp=abhl, dp=adek, ep=aehl, fp=aehl, gp=abhl, hp=b³, ip=ab³c, jp=cen, kp=ab³c, lp=aekl, np=ab³, op=b³, p²=b², bq=b²c, c³q=abc²k, c²dq=abcdk, eq=b², fq=b², gq=b²c, iq=ab³c, jq=cen, kq=ab³c, nq=ab³, oq=b³, pq=ahlq, q²=b²>

P = {a, b², c², c⁴, ad, ac²d, ac⁴d, ae, ae², ae³, f², ch, c³h, aci, ac³i, e³i, aefi, i², aj, ac²j, ac⁴j, dj, j², c²j², ac²k, dk, c²dk, ek, e³k, c²jk, aejk, abl, ac²l, bc³l, bdl, ac²el, agl, c³gl, abchl, aehl, bjl, c²jl, bc⁴jl, gjl, bkl, c²kl, abdkl, gkl, c²gkl, cln, adeln, aejln, o, ac⁴p, c²lq, ahlq}

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

Monoid Structure