Details Page for 0.1772

Complete Solution is Known:

MSV File: q-0.1772.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₂(0.1772):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a²=1, b⁴=b², b³c=bc, b²c²=c², c³=ac², b³d=bd, cd=ab²d, bd²=bc², d³=d, b²ce=ce, c²e=ac², bde=abd, e²=c², bf=bd, c²f=b²d, df=c², ef=ab²d, f²=c², bg=bd, c²g=b²d, dg=c², eg=ab²d, g²=c², b³h=bh, ch=ab²h, d²h=h, eh=ab²h, fh=b²dh, gh=b²dh, b²h²=h², h⁴=bh³, b²i=i, c²i=bc², di=bd, ei=ci, fi=bd, gi=bd, hi=bh, i²=c², b²j=j, cj=aj, d²j=j, ej=aj, fj=dj, gj=dj, h³j=abh³, ij=bj, j⁴=j², ck=ab²k, b²dk=dk, d²k=b²k, b²ek=ab²k, dek=adk, fk=dk, gk=dk, b²hk=hk, ik=b³k, b²k²=k², ek²=ak², h³k²=h³, h²j²k⁴=h²k⁴, k⁶=k⁴, b³l=bl, cl=abci, bdl=abd, el=c², fl=ab²d, gl=ab²d, hl=ab²h, il=abc², jl=aj, kl=ab²k, l²=ad²l, bm=bl, c²m=ac², dm=ab²d, em=c², hm=ab²h, im=abc², jm=aj, km=ab²k, lm=c², m²=c²>

P = {a, b², ac, ab²c, c², ad, ad², be, b³e, bce, fg, acfg, ab²dh, h², bh³, bi, bj, abdhj, j², adhj², h²j², bj³, abdhj³, k, ab³k, aek, bdhk, ajk, dhjk, bdh²jk, abj²k, aj³k, dhj³k, bdh²j³k, k², adhk², h²k², bjk², j²k², bhj²k², h²j²k², abk³, bdhk³, ajk³, dhjk³, bdh²jk³, j³k³, bhj³k³, abdh²j³k³, k⁴, adhk⁴, h²k⁴, bjk⁴, j²k⁴, bhj²k⁴, ahj³k⁴, abk⁵, bdhk⁵, ajk⁵, dhjk⁵, bdh²jk⁵, bdj³k⁵, ab²l, d²l, am, cfm, afgm}

Phi = 1 a a bd bd abd b a c d abd bd bd e ac² f g h i j k l m ab²d abd

Monoid Structure