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 Q₁₇(0.7311):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a²=1, b⁵=b³, bc²=b, c³=c, b²d=ab⁴, c²d²=d², bd³=abd², d⁴=ad³, be=b², c²e=e, d³e=abd², 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, d³h=ad²h, eh=abdh, c²fh=fh, dfh=ab³c, gh=ab³, h²=b⁴, b²i=ab³, c²i=i, di=b³, egi=acefi, g²i=ab³, hi=ab⁴, i²=b⁴, bj=b³, c²dj=dj, d²j=b⁴, ej=b³, c²fj=fj, dfj=ab⁴c, f²gj=cfgj, g²j=agj, hj=b³, ij=ab³, j²=b⁴, b³k=ab³, bdk=b³, d³k=ad²k, d²ek=ab³, 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, b²l=b³, bd²l=b⁴, del=abl, bfl=b⁴c, cfl=b³, efl=b⁴c, f²l=b³, gl=ab³, bhl=b³, c²hl=hl, dhl=ahl, fhl=b⁴c, il=ab⁴, jl=b³, bkl=b²cfk, d²kl=abd², hkl=abd²h, l²=b⁴, b²m=b⁴c, bd²m=b³c, d³m=cd²k, d²em=cdek, egm=acefm, fg²m=cfg², c²hm=hm, d²hm=achk, fhm=f²h, efim=b²cfk, c²jm=jm, djm=bdhm, fjm=f²j, gjm=fgj, bkm=ab³c, cdkm=b⁴, d²km=ab⁴c, ekm=ab³c, cfkm=cf²k, f²km=cf²k, gkm=cgk, hkm=ab³c, blm=acekl, c²dlm=dlm, d²lm=cdkl, flm=b³, hlm=bcd²h, cklm=ab³, dklm=b³c, c²m²=m², d²m²=b⁴, em²=abdm², dfm²=ab⁴c, f²m²=cfm², gm²=acg²m, im²=ab³, dkm²=b⁴, fkm²=cf²k, lm²=b³, fm³=cfm², km³=cf²k, bm⁴=bcm³, hm⁴=chm³, jm⁴=cjm³, m⁵=cm⁴>

P = {a, b², b⁴, ac, ac², d², ad³, acf, b²cf, af², g, cg, cfg, f²g, ag², acg², acfg², ah, abch, dh, bcdh, abcd²h, bcfh, af²h, bi, ei, bf²i, bcfgi, acj, ac²j, acfj, gj, cgj, cfgj, ak, ab²k, dk, c²dk, ad²k, abcfk, af²k, bl, abdl, el, hl, ackl, cekl, afkl, dfkl, acm, acdm, cd²m, afm, ac²fm, adfm, acf²m, gm, cgm, fgm, cf²gm, ag²m, acg²m, achm, cdhm, bcim, ceim, bcf²im, bfgim, aelm, klm, am², adm², acfm², bhm², abdhm², ajm², am³, acm³, achm³, cdhm³, am⁴, adm⁴}

Phi = 1 a b ab a c b d b² e f g h i j k l m b⁴

Monoid Structure