Details Page for 0.5616

Complete Solution is Known:

MSV File: q-0.5616.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₅(0.5616):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b⁴=b², b³c=bc, b²c²=c², c⁴=c², b²d=bc, bcd=c², c²d=bc³, bd³=cd², cd³=bd², d⁴=d², be=b²c, c²e=bc³, cde=c³, d³e=de, e²=c², bf=bc, cf=c², df=cd, ef=ce, f²=c², b³g=bg, cg=ac³, bdg=ac³, d³g=dg, d²eg=eg, fg=ac³, g²=c², bch=b²c, c²h=bc², deh=bd², dgh=acd², egh=ac³, b²h²=b³h, bdh²=bd, cdh²=cd, ceh²=ce, fh²=f, bgh²=b²gh, h³=h, bd²i=cdi, cei=bc²i, fi=bdi, dgi=ad²ei, egi=abc³i, bdhi=ei, cdhi=dei, ehi=bdi, ch²i=ci, dh²i=di, c²i²=c², bi³=bi, ci³=ci, ei³=ei, gi³=gi, i⁴=i², c²j=ac³, bdj=b²cj, cdj=abc³, d²j=acd², cej=abc³, dej=ac³, fj=b²cj, b²gj=gj, dgj=bc², egj=bc², ghj=bc³, dh²j=dj, eh²j=ej, eij=bcij, gi²j=gj, i³j=ij, b²j²=j², dj²=bcj², ej²=bcj², chj²=bcj², h²j²=bhj², i²j²=j², j⁴=j², fhk=chk, ch²k=fk, b³ik=bik, b²cik=cik, bdik=cik, cdik=bc²ik, eik=bcik, b²gik=gik, chik=bcik, ghik=abc²ik, bh²ik=b²hik, chjk=bcjk, b²ijk=ijk, dijk=bcijk, h²ijk=bhijk, cj³k=ci²jk, hj³k=hi²jk, b²hk²=b³k², bghk²=b²gk², bh²k²=bk², c²ik²=b²ik², d³ik²=dik², gik²=ab²ik², bhik²=b²ik², h²ik²=ik², i²k²=c²k², gjk²=c³k², ijk²=acik², j²k²=c²k², bck³=cik², c²k³=bik², cd²k³=bdk³, bgk³=ab²ik², ghk³=acdk³, bik³=c²k², cik³=bc³k², dik³=cd²k², djk³=acdk³, ejk³=acek³, bk⁴=bd²k², cdk⁴=bd²k², d³k⁴=dk⁴, gk⁴=d²gk², hjk⁴=achk⁴, dk⁵=d³k³, ek⁵=ek³, cjk⁵=cjk³, k⁶=k⁴>

P = {a, b², c², ad, ad², ad³, bg, adeg, ah, b³h, adh, ad²h, ad³h, ceh, gh, b²gh, ah², adh², ad²h², ad³h², i, ab²i, d²i, abhi, ab³hi, d²hi, ai², b²i², adi², ad²i², ad³i², bgi², ahi², b³hi², adhi², ad²hi², ad³hi², ghi², b²ghi², ah²i², i³, d²i³, d²hi³, ab²j, acj, abhj, ab³hj, ach²j, aij, b²ij, ahij, b³hij, ah²ij, ab²i²j, aci²j, abhi²j, ab³hi²j, j², agj², bhj², acj³, abk, dek, ad²gk, cdhk, bd²hk, abh²k, cik, c³ik, adhjk, gijk, bij²k, hij²k, abij³k, k², b²k², c²k², d²k², adek², bgk², cehk², ghk², h²k², d²h²k², ajk², ab²jk², abhjk², ah²jk², abk³, dek³, ad²gk³, adegk³, adhk³, bd²hk³, hik³, ajk³, b²jk³, ah²jk³, k⁴, d²k⁴, aehk⁴, h²k⁴, d²h²k⁴, ajk⁴}

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

Monoid Structure