Details Page for 0.1736

Complete Solution is Known:

MSV File: q-0.1736.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₀(0.1736):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a²=1, b³=b, b²c²=c², c³=ac², bcd=abd, c²d=b²d, bd²=bc², d⁴=d², be=bd, c²e=b²d, e²=c², bf=bc², cf=cd³e, d²f=f, ef=b²d, f²=c², bg=bd, c²g=b²d, d³g=dg, deg=b²d, fg=b²d, g²=eg, bh=bd, ch=ab²d, dh=c², eh=c², fh=b²d, gh=aceg, h²=c², c²i²=c², bdi²=bd, di⁴=di², fi⁴=fi², bi⁵=bi³, ci⁵=ci³, ei⁵=ei³, gi⁵=gi³, i⁶=i⁴, b²j=j, cj=abc², dj=bd, ej=bd, fj=bc², gj=bd, hj=bd, i⁵j=i³j, j²=c², bk=abd, c²k=ab²d, cdk=acdg, d³k=dk, dek=ab²d, fk=ab²d, gk=ek, hk=acek, i⁴k=i²k, jk=abd, k²=c², c²l=c²i, bdl=bdi, dgl=c²i, i⁴l=i²l, dkl=ac²i, cekl=acegl, l²=c², bm=abc², c²m=ac², dm=ad²ei³l, em=ab²d, fm=ac², gm=ab²d, hm=ab²d, im=ad³ei²l, jm=abc², km=b²d, lm=ac²i, m²=c²>

P = {a, b², abc, c², ad, ad², ad³, cd³, acde, af, acg, dg, acdg, eg, cdi, aei, ad²ei, cd²ei, adfi, hi, i², b²i², abci², d²i², acd²i², adei², ad³ei², afi², acgi², adgi², egi², di³, acdi³, d³i³, acd³i³, aei³, cei³, ad²ei³, cd²ei³, adfi³, agi³, cgi³, ad²gi³, cd²gi³, hi³, i⁴, b²i⁴, aci⁴, ab²ci⁴, egi⁴, acegi⁴, bi⁴j, ak, ck, adk, ai²k, ci²k, i³k, aci³k, d²i³k, il, b²il, acil, ab²cil, d²il, acd²il, deil, acdeil, d³eil, acd³eil, fil, egil, acegil, ai³l, b²i³l, abci³l, adi³l, ad²i³l, ad³i³l, cd³i³l, acdei³l, afi³l, acgi³l, egi³l, bijl, aeikl, ai³kl, ci³kl, cm}

Phi = 1 a a bd bd abd b a c d e abd bd bd ac² f g h i j bc² abc² bdi cdg k l abd abd bd bc² m b²d b²d

Monoid Structure