Details Page for 0.3501

Complete Solution is Known:

MSV File: q-0.3501.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₃(0.3501):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a²=1, b³=b, b²c=c, c⁴=c³, b²d=d, c³d=c²d, cd²=d², d³=ad², b²e=e, c³e=bc³, c²de=bc²d, d²e=bd², c²e²=c², ce³=ce, e⁴=e², b²f=f, cdf=df, d²f=ad², def=bdf, c²f²=d², df²=ad², e²f²=f², f³=acf², b²g=g, c²g=bc³, cdg=bc²d, d²g=bd², deg=cd, ce²g=cg, dfg=bdf, f²g=cef², cg²=c³, eg²=bc³, dg³=bdg², fg³=bfg², g⁴=bg³, b²h=h, ch=c², dh=cd, e³h=eh, fh=cf, gh=cg, e²h²=h², h³=c³, b²i=i, di=d², e²fi=fi, fg²i=c³fi, i²=d², b²j=j, c³j=c³, dj=dg², ce²j=cj, e³j=ej, f²j=d², cfgj=bc²fj, fg²j=c³f, g³j=bg²j, e²hj=hj, h²j=bcgj, g²ij=c³i, cj²=c³, ej²=bc²j, g²j²=g²j, hj²=c³, fij²=bc²efij, j³=g²j, b²k=k, c²k=bcegj, d²k=bd², cdek=c²d, de²k=bcde², dfk=bdf, f²k=bcf², cgk=c³, g²k=bc³, h²k=bcegj, e²jk=jk, cefjk=bcfjk, gjk=bcgj, ehjk=bhjk, j²k=bc³, ck²=cegj, dek²=bc²d, e³k²=ek², dgk²=cdk, egk²=c³, fgk²=fgj², hk²=cegj, gik²=gij², jk²=cegj, k³=bc³, b²l=l, dl=df, c²fl=cfl, cefl=bcfl, e²fl=fl, f²l=acf², cgl=bc³l, fgl=bcfl, g³l=bg²l, ce²il=cil, e³il=eil, cfil=adf, g²il=c³il, e²hil=hil, h²il=be²gil, c²jl=beh²l, fjl=cfl, gjl=bc³l, e²ijl=ijl, ij²l=be²gil, fkl=bcfl, e²gkl=c³l, hkl=bj²l, egikl=bc³il, jkl=bhjl, ek²l=eh²l, gk²l=egkl, ik²l=be²gil, l²=d²>

P = {a, b², c, c², c³, bd, acd, ac²d, d², be, bce, bc²e, ade, e², ce², bde², acde², be³, ade³, f, acf, ac²f, ac³f, bdf, aef, bcef, abc²ef, e²f, ace²f, ae³f, f², cf², bef², bcef², bg, bcg, dg, eg, ceg, be²g, e³g, bfg, abcfg, aefg, acefg, be²fg, ae³fg, g², bdg², fg², bg³, h, beh, e²h, h², beh², bi, aci, ac²i, ac³i, aei, abc²ei, be²i, ace²i, ae³i, fi, c²fi, c³fi, aefi, cefi, bf²i, acf²i, aef²i, abcgi, acegi, bcfgi, befgi, bg²i, ahi, ae²hi, ah²i, abeh²i, j, cj, c²j, bej, bcej, bc²ej, e²j, afj, acfj, ac²fj, abefj, abcefj, abc²efj, ae²fj, bgj, bcgj, egj, cegj, be²gj, bfgj, aefgj, abe²fgj, g²j, hj, behj, aij, acij, ac²ij, abceij, abc²eij, ae²ij, bfij, bcfij, efij, bc²efij, abcgij, aegij, acegij, abe²gij, fgij, ahij, abehij, j², fj², bgj², bfgj², bij², bk, bck, adk, ek, cek, bdek, be²k, bce²k, e³k, bfk, bcfk, efk, acefk, abe²fk, abce²fk, e³fk, gk, adgk, begk, e²gk, be³gk, afgk, befgk, ae²fgk, abe³fgk, bhk, ehk, be²hk, beik, aceik, abe²ik, abce²ik, befik, bcefik, agik, ae²gik, abe³gik, aehik, abe²hik, bjk, bcjk, ejk, cejk, abfjk, abcfjk, aefjk, bhjk, abijk, abcijk, aeijk, aceijk, befijk, abhijk, k², bdk², bek², e²k², fk², abefk², ae²fk², bgk², bik², abeik², ae²ik², fik², l, acl, ac²l, ac³l, ael, bcel, abc²el, e²l, ace²l, ae³l, fl, cfl, befl, bgl, aegl, be²gl, ae³gl, g²l, ahl, behl, ae²hl, ah²l, abeh²l, il, c²il, c³il, ceil, e²il, abfil, aefil, bgil, be²gil, ehil, ajl, acjl, bejl, abcejl, ae²jl, ahjl, abehjl, bijl, bcijl, eijl, j²l, bkl, bckl, ekl, acekl, abe²kl, abce²kl, e³kl, agkl, begkl, beikl, k²l}

Phi = 1 a b c d b² e f g h i j k l

Monoid Structure