Details Page for 0.7166

Complete Solution is Known:

MSV File: q-0.7166.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₁(0.7166):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a²=1, b³=b, b²c=c, c⁴=c², bd²=b, cd²=c, d³=d, b²e=e, c²e=ac²d, d²e=e, e²=c², b²f=f, cf=c²d, d²f=f, ef=cde, f²=c², cg=ac³, d²g=g, fg=ac³d, g²=c², b²h=h, ch=bc³, d²h=h, eh=abeg, fh=bc³d, gh=abc², h²=c², ci=abc²d, b²di=di, d²i=b²i, ei=abcde, fi=abc², gi=bc³d, hi=ac³d, i²=c², b²j=j, cj=bc, d²j=j, gj=bg, hj=bh, ij=bi, j²=b², b²k=k, c²k=ac³, d²k=k, hk=abgk, ik=abcdk, ck²=gk, gk²=ck, k⁴=k², b²l=l, c²l=bc³, d²l=l, jl=bl, kl=bg, cl²=abgl, gl²=abcl, fl³=fl, hl³=hl, il³=il, l⁴=l², b²m=m, c²m=abc³, d²m=m, gm=bc³, hm=ac³, im=abcdm, jm=bm, km=acm, lm=abcl, m²=c², b²n=n, d²n=n, in=abcdn, cekn=c²dn, egkn=ac³dn, celn=abegn, el³n=eln, c²n²=c², gn²=abcl, hn²=hl², jn²=bn², kn²=acn², cln²=cl, fln²=fl, l³n²=ln², cen³=cen, ln³=l³n, fmn³=fmn, n⁴=n²>

P = {a, b², c², ad, ad², abde, ab²g, bh, ai, bj, adej, ack, dek, adfk, bdejk, abdfjk, k², abdek², bjk², adejk², dek³, adfk³, bdejk³, abdfjk³, bcl, bdel, l², abdel², bhl², bdel³, abcm, bcdem, abdfm, abcden, bdfn, adgn, dfjn, acdkn, ekn, bejkn, ek³n, afk³n, aejk³n, bcdln, degln, bdfl²n, demn, n², aden², l²n², adel²n², abcmn², bdemn², abdfmn², bdfn³, abcdmn³}

Phi = 1 a b a 1 ab c ac b ac bc ab a d b d e c abd f ac g af h i j k l m beg abc n abc²d

Monoid Structure