Details Page for 0.3154

Complete Solution is Known:

MSV File: q-0.3154.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₈(0.3154):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b⁴=b², bc=ab³, c²=b², b²d²=b², bd³=bd, cd³=cd, d⁴=d², be=b³d, cd²e²=ce², d³e²=de², e³=de², b²f=b³d, cf=ab³d, df=bd², ef=b³, bf³=b²d, f⁵=f³, b²g=ab³d, cg=b³d, dg=abd², e²g=ab³d, bfg=abf², f⁴g=f²g, g²=b², bd²h=bh, bfh=b²dh, f³h=b³dh, bgh=ab²dh, f²gh=ab³dh, bh²=bd², ch²=cd², d³h²=dh², deh²=d³e, e²h²=d²e², f²h²=b², dh³=d³h, egh³=egh, fgh³=fgh, h⁴=h², bi=ab³, ce²i=cdei, f³i=fi, egi=b³, f²gi=gi, fhi=ab³dh, ghi=b³dh, dh²i=d³i, eh²i=d²ei, cdei²=ce², e²i²=e², fi²=b³d, gi²=ab³d, cei³=cei, i⁴=i², b²j=b³, cj=ab³, d³j=dj, dej=b³, e²j=b³, f³j=b²d, f²gj=ab²d, eghj=fgh, fghj=ab³h, eh³j=ehj, ij=ab³, j²=b², bk=ab³, f²k=abf²j, egk=b³, fhk=ab³dh, ghk=b³dh, d²h²k=h²k, eh²k=d²ek, h³k=d²hk, fik=b³d, gik=ab³d, h²ik=d²ik, jk=ab³, e²k²=b², fgk²=afgk, h²k²=d²k², cd²ik²=cik², ceik²=b²d, d³hik²=dhik², d²ehik²=ehik², d³i²k²=di²k², ei²k²=b²d, fk³=afk², gk³=agk², d²hik³=hik³, i²k³=ab², ek⁴=ek², cik⁴=acik³, k⁵=k³>

P = {a, b², cd, d², ce, de, cd²e, d³e, e², cde², d²e², f², f⁴, afg, af³g, ah, cdh, ad²h, ceh, cd²eh, cde²h, h², d²h², agh², acdi, acei, adei, acd²ei, ad³ei, ae²i, ad²e²i, fi, acdhi, acehi, acd²ehi, ah²i, i², cdi², d²i², cei², dei², d³ei², cdhi², ad²hi², cehi², h²i², ai³, acdi³, adei³, ad³ei³, acdhi³, ah²i³, aj, ad²j, af²j, aegj, fgj, hj, bdhj, f²hj, aghj, gh²j, ah³j, cdk, ae²k, ad²e²k, cdhk, d²hk, ehk, acehk, cd²ehk, d³ehk, cde²hk, d²e²hk, ah²k, ik, acdik, e²ik, acdhik, aehik, cehik, cd²ehik, ad³ehik, ai²k, cdi²k, ad²i²k, cdhi²k, d²hi²k, ehi²k, acehi²k, d³ehi²k, i³k, acdi³k, acdhi³k, aehi³k, ad³ehi³k, k², acdk², d²k², agk², cdhk², ad²hk², ehk², acehk², cd²ehk², aik², adeik², ad³eik², cdhik², i²k², d²i²k², cdhi²k², ad²hi²k², ai³k², cdhi³k², ak³, cdk³, ad²k³, cdhk³, d²hk³, ehk³, acehk³, cd²ehk³, d³ehk³, ik³, deik³, acdhik³, k⁴, acdk⁴, d²k⁴, cdhk⁴, ad²hk⁴, aik⁴}

Phi = 1 a b a 1 a b c b d ad b e f g h i j k

Monoid Structure