Details Page for 0.5313

Complete Solution is Known:

MSV File: q-0.5313.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₆(0.5313):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a²=1, b⁴=b², c⁴=c², b²d=ab², bd³=bd, d⁴=d², be=b², d²e=e, e²=b², bf=ab³, d³f=df, ef=ab³, df²=af², f³=ab², bc²g³=bc²g, c²d²g³=c²d²g, c²eg³=c²eg, c²fg³=c²fg, bg⁴=bg², c²g⁴=c²g², eg⁴=eg², f²g⁴=f²g², g⁵=g³, b²h=b³, d³h=dh, fh=ab³, c²g³h=c²gh, g⁴h=g²h, bh²=b³, d²h²=h², eh²=b³, gh²=b²g, h³=b³, bi=ab², d²i=i, ei=ab², fi=b³, c²g³i=c²gi, g⁴i=g²i, h²i=ab³, i²=b², bc³j=bcj, bcd²j=abcdj, d³j=dj, c³ej=cej, c³fj=cfj, f²j=b²j, c³gj=cgj, bd²gj=abdgj, cg³j=cgj, g⁴j=g²j, c³hj=chj, bd²hj=abdhj, ehj=dfj, h²j=b²j, c³ij=cij, dij=aij, hij=ab²j, b³j²=bj², b²cj²=cj², c³j²=cj², bdj²=abj², cdj²=acj², d²j²=j², ej²=bj², fj²=ab²j², b²gj²=gj², dgj²=agj², cg²j²=cj², g³j²=gj², hj²=bj², ij²=abj², b²j³=j³, c²j³=j³, dj³=aj³, gj³=cj³, j⁴=cj³, b²k=ab², bd²k=bk, d²fgk=fgk, d²hk=hk, dik=aik, hik=af²k, bcjk=ab³cj, c³jk=cjk, ejk=bjk, fjk=b²j, bgjk=ab³gj, hjk=bjk, bj²k=abj², cj²k=acj², gj²k=agj², j³k=aj³, k²=b², bdl=ab³l, el=b³l, d²fl=adfl, f²l=b²l, b²c²g²l=b²c²l, dhl=ab³l, h²l=b²l, il=ab³l, c³jl=cjl, djl=ab²jl, cg²jl=cjl, bhjl=afjl, b²j²l=j²l, j³l=aj³, bkl=ab³l, d³kl=ad²kl, dfkl=afkl, hkl=ab³l, jkl=fjl, bl²=bcj³, d³l²=ad²l², fl²=acj³, cg⁴l²=cg²l², hl²=bcj³, jl²=j³, l³=acj³>

P = {a, b², c², b²c², ad, ac²d, d², c²d², ad³, ac²d³, cf, c³f, cdf, c³df, cd²f, c³d²f, f², c²f², cg, b²cg, c³g, b²c³g, acdg, ac³dg, cd²g, c³d²g, acd³g, ac³d³g, fg, c²fg, dfg, c²dfg, d²fg, c²d²fg, cf²g, c³f²g, g², b²g², c²g², b²c²g², adg², ac²dg², d²g², c²d²g², ad³g², ac²d³g², afg², ac²fg², ad²fg², ac²d²fg², f²g², c²f²g², cg³, b²cg³, c³g³, acdg³, ac³dg³, cd²g³, acd³g³, fg³, dfg³, d²fg³, cf²g³, g⁴, adg⁴, d²g⁴, ad³g⁴, afg⁴, ad²fg⁴, h, bch, bc³h, adh, bcdh, bc³dh, d²h, bcd²h, bc³d²h, ceh, c³eh, cdeh, c³deh, bgh, bc²gh, bdgh, bc²dgh, bd²gh, bc²d²gh, egh, c²egh, degh, c²degh, acg²h, ac³g²h, abdg²h, abc²dg²h, acd²g²h, ac³d²g²h, aceg²h, ac³eg²h, bg³h, bdg³h, bd²g³h, eg³h, deg³h, h², c²h², adh², ac²dh², ahi, ac²hi, dhi, c²dhi, cdghi, c³dghi, ag²hi, ac²g²hi, dg²hi, c²dg²hi, cdg³hi, bj, b²cj, abdj, ac³dj, bd²j, ej, adej, acfj, acd²fj, b²gj, b²c²gj, ac²dgj, afgj, ac²fgj, ad²fgj, ac²d²fgj, bcg²j, b³cg²j, abcdg²j, acdeg²j, b²g³j, adg³j, afg³j, ad²fg³j, acdhj, adghj, ac²dghj, cg²hj, cd²g²hj, adg³hj, acg²ij, j², b²j², c²j², adj², cgj², g²j², cj³, ack, ac³k, cdk, c³dk, acd²k, ac³d²k, cd³k, c³d³k, afk, ac²fk, adfk, ac²dfk, acf²k, ac³f²k, agk, ac²gk, dgk, c²dgk, ad²gk, ac²d²gk, d³gk, c²d³gk, cfgk, c³fgk, acdfgk, ac³dfgk, af²gk, ac²f²gk, acg²k, ac³g²k, cdg²k, c³dg²k, acd²g²k, ac³d²g²k, cd³g²k, c³d³g²k, adfg²k, ac²dfg²k, acf²g²k, ac³f²g²k, ag³k, ac²g³k, dg³k, c²dg³k, ad²g³k, d³g³k, cfg³k, acdfg³k, af²g³k, acg⁴k, cdg⁴k, acd²g⁴k, cd³g⁴k, adfg⁴k, abhk, abc²hk, cdhk, c³dhk, aehk, ac²ehk, abcghk, abc³ghk, dghk, bcdghk, bc³dghk, cdeghk, c³deghk, abg²hk, abc²g²hk, aeg²hk, ac²eg²hk, abcg³hk, dg³hk, bcdg³hk, cdeg³hk, ah²k, ac²h²k, acjk, bdjk, acd²jk, agjk, ac²gjk, ad²gjk, ac²d²gjk, ag³jk, ad²g³jk, aj²k, al, ab²l, ac²l, ab²c²l, ad²l, ac²d²l, fl, c²fl, adfl, ac²dfl, acgl, ab²cgl, ac³gl, ab²c³gl, acd²gl, ac³d²gl, cfgl, c³fgl, acdfgl, ac³dfgl, g²l, ab²g²l, c²g²l, dg²l, c²dg²l, ad²g²l, ac²d²g²l, d³g²l, c²d³g²l, adfg²l, ac²dfg²l, ag³l, abcg³l, ab³cg³l, ac³g³l, g⁴l, dg⁴l, ad²g⁴l, d³g⁴l, adfg⁴l, abhl, abc²hl, abcghl, abc³ghl, ag²hl, ac²g²hl, acg³hl, acjl, ab²cjl, cfjl, gjl, ab²gjl, c²gjl, ab²c²gjl, abg³jl, ab³g³jl, aghjl, ac²ghjl, ag³hjl, abj²l, abc²j²l, acgj²l, ag²j²l, kl, c²kl, adkl, ac²dkl, d²kl, c²d²kl, cgkl, c³gkl, acdgkl, ac³dgkl, cd²gkl, c³d²gkl, adg²kl, ac²dg²kl, d²g²kl, c²d²g²kl, acfg²kl, ac³fg²kl, c³g³kl, ac³dg³kl, adg⁴kl, d²g⁴kl, l², c²l², adl², ac²dl², d²l², c²d²l², cgl², c³gl², acdgl², ac³dgl², cd²gl², c³d²gl², g²l², c²g²l², adg²l², ac²dg²l², d²g²l², c²d²g²l², cg³l², c³g³l², acdg³l², ac³dg³l², cd²g³l², g⁴l², adg⁴l², d²g⁴l², akl², ac²kl², dkl², c²dkl², ad²kl², ac²d²kl², acgkl², ac³gkl², cdgkl², c³dgkl², acd²gkl², ac³d²gkl², ag³kl², ac²g³kl², dg³kl², ad²g³kl², dg⁴kl², ad²g⁴kl²}

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

Monoid Structure