Details Page for 0.3715

Complete Solution is Known:

MSV File: q-0.3715.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₂(0.3715):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a²=1, b⁵=b³, b²c=b³, bc³=bc, c⁴=c², bd²=b, cd²=c, d³=d, be=ab², ce=abc, d²e=e, e³=ab³, bf=b², cf=bc, d²f=f, ef=ab², f²=b², b³g=ab³, bcg=ab⁴, c²g=abc, d²g=g, b²g²=b⁴, cg²=bg², eg²=ab³, fg²=b³, g³=ab⁴, b²h=ab³, ch=abc, d²h=h, eh=abh, fh=bh, g²h=ab³, bh²=b³, h³=ab³, b²i=b³, bci=bc², c²i=c³, ei=abi, fi=bi, cgi=abc, g²i=bg², bhi=ab³, h²i=b³, bi²=bc², ci²=c³, d²i²=i², gi²=abc, hi²=abc², i³=c³, b⁴j=b²j, bcj=b²j, d²j=j, e²j=b²j, fj=aej, b²gj=ab²j, bhj=ab²j, h²j=b²j, bij=b²j, cij=c²j, hij=ab²j, i²j=c²j, b³j²=bj², cj²=bj², ej²=abj², bgj²=abj², g²j²=b²j², hj²=abj², ij²=bj², bj³=abdj², j⁴=b²j², bk=abj, ck=acj, d²k=k, ek=aej, fk=ej, g²k=ag²j, hk=ahj, ik=aij, jk=aj², k³=b²dj², el=abl, fl=bl, cgl=abc²l, bg²l=b³l, h²l=b⁴l, c³jl=cjl, g²jl=b²jl, b²l²=e², bcl²=bc, c²l²=c², g²l²=b⁴, bhl²=bh, bgil²=e²g, ghil²=bgh, cjl²=c³j, hjl²=hj, gijl²=bgjl², bj²l²=bj², bjl³=bjl, d²l⁴=l⁴, bgl⁴=bgl², hl⁴=hl², gil⁴=gil², j³l⁴=j³l², k²l⁴=k²l², l⁵=d²l³>

P = {a, b², b⁴, c, ac², c³, ad, cd, ac²d, c³d, ad², e², bg, bdg, aeg, adeg, de²g, fg, dfg, g², abh, agh, adgh, h², i, aci, di, acdi, d²i, abgi, ghi, ai², adi², abdj, ab³dj, dej, agj, adgj, cdgj, adg²j, dhj, dgij, j², b²j², adj³, dgj³, gk, dgk, k², al, cl, ac²l, c³l, adl, b²dl, b⁴dl, cdl, ac²dl, c³dl, ad²l, b²gl, abdhl, adghl, il, acil, dil, acdil, d²il, dghil, ai²l, adi²l, abjl, ab³jl, abdgjl, hjl, gj²l, gk²l, al², cl², adl², cdl², ad²l², aghl², il², acil², dil², acdil², d²il², ai²l², adi²l², abdjl², abgjl², j²l², dgj²l², adj³l², k²l², dgk²l², al³, cl³, adl³, cdl³, ad²l³, adghl³, il³, acil³, bdil³, aijl³, gj²l³, adgj³l³, gk²l³, al⁴, cl⁴, adl⁴, cdl⁴, bil⁴, acdil⁴, adijl⁴, j²l⁴}

Phi = 1 a b ab a 1 ab c d e b d ad f af b² g h i ab² j k l

Monoid Structure