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 Q₂₁(0.7311):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | 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, f³=cf², b²g=ab⁴, c²g=g, bdg=b³, d²g=ab⁴, deg=b³, dfg=b⁴c, efg=acef², eg²=bg², bfg²=cef², f²g²=cfg², g³=ag², b²h=b³, d³h=ad²h, eh=abdh, c²fh=fh, dfh=ab³c, gh=ab³, h²=b⁴, b²i=ab³, c²i=i, di=b³, ef²i=ab⁴, egi=acefi, g²i=abg², 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, egk=b³, f²gk=cfgk, fg²k=afgk, bhk=ab⁴, c²hk=hk, dhk=ahk, fhk=ab³c, ik=b³, jk=ab⁴, k²=b⁴, b²l=b³, bd²l=b⁴, del=abl, bfl=b⁴c, cfl=ef², efl=b⁴c, f²l=ef², bgl=ab⁴, egl=ab⁴, fgl=acef², g²l=agl, bhl=b³, c²hl=hl, dhl=ahl, fhl=b⁴c, il=ab⁴, jl=b³, bkl=b²cfk, d²kl=abd², gkl=b³, hkl=abd²h, l²=b⁴, b²m=b⁴c, bd²m=b³c, d³m=cd²k, d²em=cdek, ef²m=cef², bg²m=bcg², dg²m=adgm, 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=fgk, hkm=ab³c, blm=acekl, c²dlm=dlm, d²lm=cdkl, flm=ef², glm=acef², hlm=bcd²h, cklm=ab³, dklm=b³c, c²m²=m², d²m²=b⁴, dem²=ab³, dfm²=ab⁴c, efm²=cef², f²m²=cfm², bgm²=abg², dgm²=cdgm, egm²=abg², fgm²=afg², g²m²=agm², im²=abg², dkm²=b⁴, fkm²=cf²k, lm²=ef², fm³=cfm², gm³=cgm², km³=cf²k, bm⁴=bcm³, em⁴=cem³, hm⁴=chm³, jm⁴=cjm³, m⁶=m⁴, b²n=ab³, bdn=bd²h, d²n=ad²h, en=bn, c²fn=fn, dfn=b³c, bfgn=abcf²n, f²gn=af²n, bg²n=abgn, dg²n=adgn, fg²n=cf²n, hn=adfkm, bin=b³, f²in=abf²n, gin=abgn, jn=ab³, kn=ahk, bln=ab³, c²ln=ln, fln=bcf²n, c²mn=mn, dmn=achk, fmn=f²n, bgmn=bcgn, g²mn=agmn, imn=bcgn, gm²n=cgmn, m⁴n=cm³n, n²=b⁴, bo=ab²k, c²o=o, do=hk, eo=ab²k, f²o=b³, go=ab³, ho=b⁴, io=ab⁴, jo=b³, ko=ab³, lo=bd²h, mo=b³c, no=ab⁴, o²=b⁴, b²p=ab⁴, c²p=p, bdp=b³, d³p=ad²p, ep=ab³, bfp=bcp, dfp=b⁴c, bgp=b³, fg²p=acf²gp, hp=ab³, bip=bf²gi, fip=cip, gip=ab³, jp=gj, bkp=b³, fkp=fgk, dg²kp=adgj, lp=ab³, d²mp=acd²kp, f²mp=cfmp, fgmp=f²gp, kmp=fgk, bm²p=ab³, fm²p=acf²gp, dm⁴p=dm²p, m⁵p=m³p, np=b³, op=ab³, bp²=b³, f²p²=cfp², fgp²=afp², g²p²=agp², ip²=ab³, gkp²=g²kp, fmp²=cfp², dgmp²=b⁴c, gm²p²=acfp², m⁴p²=m²p², p³=ap²>

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, adgk, dg²k, 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, gm², cgm², bhm², abdhm², ajm², am³, acm³, achm³, cdhm³, am⁴, adm⁴, acm⁵, acdm⁵, an, ac²n, dn, bcfn, af²n, bgn, in, cfin, ln, cln, acgln, abcmn, lmn, abm²n, acm³n, cp, acdp, cd²p, cfp, agp, acgp, acfgp, g²p, cg²p, adkp, d²kp, dgkp, acg²kp, mp, cmp, agmp, acgmp, g²mp, m²p, cm²p, agm²p, acgm²p, m³p, cm⁴p, p², adp², d²p², cfp², agp², dgp², ckp², acdkp², cd²kp², amp², dmp², m²p², adm²p², am³p²}

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

Monoid Structure