Details Page for 0.1334

Complete Solution is Known:

MSV File: q-0.1334.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₀(0.1334):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b⁴=b², b²c=ab³, bc³=bc, c⁴=c², b²d²=b², d³=d, c³e=ce, b²e²=ab²e, ce²=ace, e³=e, bcf=ab²f, bd²f=bf, be²f=abef, cf²=ab³f², d²f²=f², ef²=af², b²f³=f³, f⁴=f³, bg=abc, cg=ac², fg=acf, g²=c², bh=abf, ch=acf, eh=aef, d²fh=fh, f²h=af³, gh=cf, h²=afh, b²i=ab², bci=b², c²i=ab², d²i=i, cei=b³e, f²i=ab²f², i²=b², bj=bc, cj=c², ej=aeg, fj=c³f, gj=ac², hj=ac³f, j²=c², bck=ab²k, bd²k=bk, b²ek=b²ef, cek=cef, c²fk=b²fk, d²fk=fk, befk=abf², f²k=f³, d²hk=hk, cfik=abfik, ck²=ab³k², d²k²=k², ek²=af², b²fk²=fk², gk²=b³k², hk²=afk², ik²=ab²k², jk²=ab³k², k³=f³, b²l=ab², cl=b³, d²l=l, el=ei, f²l=ab²f², gl=aij, hl=afl, il=b², jl=ij, bfkl=ab³fk, k²l=ab²k², l²=b², be²m=abem, e²fm=aefm, f³m=adf³, gm=acm, cim=abim, beim=ab³em, efim=ab²efm, jm=c³m, bekm=befm, efkm=af²m, blm=ab³m, flm=ab²fm, b²m²=b², bcm²=bc, cdm²=cd, e²m²=aem², f²m²=f², fhm²=fh, bim²=aci, eim²=ab²e, ekm²=efm², bfkm²=bfk, cfkm²=cfk, k²m²=k², lm²=ab², bm³=bm, cm³=cm, fm³=fm, hm³=hm, m⁴=m², c³n=cn, bcdn=ab²dn, b³fn=bfn, cdfn=abdfn, e²fn=aefn, gn=acn, hn=afn, cin=b³n, bfin=abfn, jn=cn, b³kn=bkn, cdkn=abdkn, bekn=befn, cfkn=abfkn, efkn=af²n, bikn=abkn, fikn=ab²fkn, ln=in, bc²mn=bmn, b³dmn=bdmn, bd²mn=b³mn, e²mn=aemn, imn=ab²mn, ekmn=efmn, bm²n=bc²n, fkm²n=fkn, m³n=mn, b²n²=n², cn²=abn², d²n²=n², e²n²=aen², in²=an², ekn²=efn², m²n²=n², n⁴=dn³, be²o=abeo, e²fo=aefo, go=aco, cio=abio, beio=ab³eo, efio=ab²efo, jo=c³o, beko=befo, efko=af²o, blo=ab³o, flo=ab²fo, e²mo=aemo, eimo=ab²emo, ekmo=efmo, lmo=ab²mo, bm²o=bo, cm²o=co, fm²o=fo, hm²o=ho, m³o=mo, bc²no=bno, b³dno=bdno, bd²no=b³no, e²no=aeno, ino=ab²no, ekno=efno, m²no=no, f²n³o=abdf²n³, fkn³o=abdfkn³, k²n³o=abdk²n³, o²=m²>

P = {a, b², ac, ac², ac³, d, cd, c²d, c³d, ad², acd², ac²d², ac³d², e, ab²e, ce, c²e, ade, acde, ac²de, d²e, cd²e, c²d²e, ae², de², ad²e², abf, ab³f, bef, b³ef, f², b²f², f³, g, adg, d²g, aeg, deg, ad²eg, e²g, ade²g, d²e²g, afh, ai, ei, ae²i, afi, acfi, efi, ae²fi, hi, fhi, aj, dj, ad²j, abk, ab³k, bek, abe²k, fk, b²fk, aefk, e²fk, ahk, afhk, aik, acik, bdik, abeik, ae²ik, bde²ik, adfik, efik, ade²fik, aegik, dhik, fhik, k², b²k², fk², al, afl, akl, bdkl, adfkl, am, ab³m, acm, ac²m, ac³m, dm, cdm, c²dm, c³dm, ad²m, acd²m, ac²d²m, ac³d²m, em, b³em, cem, c²em, adem, acdem, ac²dem, d²em, cd²em, c²d²em, ae²m, de²m, ad²e²m, b²fm, ab²efm, adf²m, b³df²m, dfhm, bim, afim, him, b²km, adfkm, b³dfkm, acdfkm, dhkm, dfhkm, eikm, adfikm, dhikm, adk²m, b³dk²m, bdfk²m, am², acm², ac²m², ac³m², dm², ad²m², em², cem², c²em², adem², d²em², abfm², befm², aim², abkm², fkm², ahkm², am³, dm³, ad²m³, em³, adem³, d²em³, aikm³, abcn, bdn, b³dn, bcen, abden, ab³den, bde²n, fn, cfn, adfn, ab²dfn, aefn, acefn, defn, b²defn, bdf²n, bdf³n, bdein, kn, ckn, adkn, ab²dkn, dekn, e²kn, ade²kn, bdfkn, adeikn, bdk²n, bdfk²n, abmn, ab²dmn, bemn, b²demn, fmn, c²fmn, bdfmn, aefmn, ac²efmn, abdefmn, b²f²mn, kmn, c²kmn, bdkmn, b²fkmn, b²k²mn, fk²mn, adfm²n, defm²n, adkm²n, n², aen², abfn², befn², f²n², f³n², abkn², fkn², k²n², fk²n², abmn², bemn², fmn², aefmn², bdf²mn², kmn², bdfkmn², bdk²mn², bdfk²mn², dn³, aden³, abdfn³, bdefn³, df²n³, df³n³, abdkn³, dfkn³, dk²n³, dfk²n³, abdmn³, bdemn³, dfmn³, adefmn³, bf²mn³, dkmn³, bfkmn³, bk²mn³, bfk²mn³, o, b³o, co, c²o, c³o, ado, acdo, ac²do, ac³do, d²o, cd²o, c²d²o, c³d²o, aeo, ab³eo, aceo, ac²eo, deo, cdeo, c²deo, ad²eo, acd²eo, ac²d²eo, e²o, ade²o, d²e²o, ab²fo, b²efo, df²o, ab³df²o, df³o, adfho, abio, fio, ahio, ab²ko, dfko, ab³dfko, cdfko, adhko, adfhko, aeiko, dfiko, adhiko, dk²o, ab³dk²o, abdfk²o, mo, ab²mo, cmo, c²mo, c³mo, admo, acdmo, ac²dmo, ac³dmo, d²mo, cd²mo, c²d²mo, c³d²mo, aemo, b²emo, acemo, ac²emo, demo, cdemo, c²demo, ad²emo, acd²emo, ac²d²emo, bfmo, b³fmo, abefmo, ab³efmo, af²mo, ab²f²mo, fhmo, imo, abfimo, afhimo, bkmo, b³kmo, afkmo, ab²fkmo, hkmo, fhkmo, abikmo, afhikmo, ak²mo, ab²k²mo, afk²mo, m²o, adm²o, d²m²o, aem²o, dem²o, ad²em²o, ikm²o, bno, b²dno, abeno, ab²deno, afno, ac²fno, abdfno, efno, c²efno, bdefno, ab²f²no, bf³no, akno, ac²kno, abdkno, ab²fkno, ab²k²no, afk²no, bcmno, abdmno, abcemno, bdemno, dfmno, b²dfmno, adefmno, ab²defmno, abdf²mno, dkmno, b²dkmno, abdfkmno, abdk²mno, abdfk²mno, bn²o, aben²o, afn²o, efn²o, abdf²n²o, akn²o, abdfkn²o, abdk²n²o, abdfk²n²o, amn²o, emn²o, bfmn²o, abefmn²o, af²mn²o, bkmn²o, afkmn²o, ak²mn²o, afk²mn²o, bdn³o, abden³o, adfn³o, defn³o, adkn³o, admn³o, demn³o, bdfmn³o, abdefmn³o, bdkmn³o}

Phi = 1 a a b 1 1 a a b 1 c ab a a b c ab d ac b ad c ab d e ad c f d g h i j k am³ af l m n al o

Monoid Structure