Details Page for 0.7311

Complete Solution is Known:

MSV File: q-0.7311.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₆(0.7311):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a²=1, b⁵=b³, bc²=b, c³=c, b²d=ab⁴, bd²=abd, c²d²=d², d³=ad², be=b², c²e=e, d²e=abd, e²=b², b³f=b³c, bdf=ab³c, cdf=ab²cf, d²f=b⁴c, def=ab³c, b²f²=b⁴, c²f²=f², df²=ab⁴, ef²=b³, f³=cf², b²g=ab⁴, c²g=g, bdg=b³, d²g=ab⁴, deg=b³, dfg=b⁴c, efg=ab³c, bg²=b³, dg²=adg, eg²=b³, f²g²=cfg², g³=ag², b²h=b³, d²h=ac²dh, eh=abdh, c²fh=fh, dfh=ab³c, gh=ab³, h²=b⁴, b²i=ab³, c²i=i, di=b³, egi=acefi, bfgi=bfh, g²i=ab³, hi=ab⁴, i²=b⁴, bj=b³, c²dj=dj, d²j=b⁴, ej=b³, c²fj=fj, dfj=ab⁴c, dgj=adj, f²gj=cfgj, g²j=agj, hj=b³, ij=ab³, j²=b⁴, b³k=ab³, bdk=b³, b²fk=efi, efk=bfk, bf²k=ab³, bgk=b³, dgk=ab⁴, egk=b³, fgk=cgk, g²k=agk, bhk=ab⁴, c²hk=hk, dhk=ahk, fhk=ab³c, ik=b³, jk=ab⁴, k²=b⁴, bl=b²cf, del=ab²cf, cfl=b³, efl=b⁴c, f²l=b³, gl=ab³, c²hl=hl, dhl=ahl, fhl=b⁴c, il=ab⁴, jl=b³, d²kl=bd, hkl=bdh, l²=b⁴>

P = {a, b², b⁴, ac, ac², d², acf, b²cf, af², g, cg, cfg, f²g, ag², acg², acfg², ah, abch, dh, bcdh, bcfh, af²h, bi, ei, bf²i, acj, ac²j, acfj, gj, cgj, cfgj, ak, ab²k, dk, c²dk, ad²k, abcfk, af²k, el, hl, ackl, cekl, afkl, dfkl}

Phi = 1 a b ab a c b d b² e f g h i j k l

Monoid Structure