Details Page for 0.4104

Complete Solution is Known:

MSV File: q-0.4104.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₁(0.4104):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a²=1, b⁴=b², b²c²=b², bc³=bc, c⁴=c², b²d=ab³, d²=1, b³e=be, bc²e=be, c³e=ce, bde=ab²e, b²e²=e², c²e²=e², de²=abe², e³=ae², bf=ab², c³f=cf, ef=abe, f²=b², bc²g=bg, c³g=cg, c²eg=eg, e²g=ace², fg=abg, bg²=abcg, c²g²=g², eg²=aceg, g³=acg², b²h=ab³, beh=ab²e, e²h=abe², bgh=bdg, cgh=adg², egh=deg, g²h=dg², bh²=bdh, eh²=deh, fh²=dfh, gh²=dgh, h³=dh², b²i=b³, bc²i=bi, c³i=ci, bei=b²e, c²ei=ei, e²i=be², c²fi=fi, gi=bg, bhi=ab³, ehi=ab²e, fhi=b³, h²i=adfh, i²=afi, b²j=ab², bc²j=bj, c³j=cj, ej=ab²e, fj=b³, gj=bdg, bij=fi, c²ij=ij, hij=afi, j²=bhj, e²k=ace², bgk=bceg, egk=ae², g²k=ab²eg, bhjk=c²fhk, bk²=bcek, ck²=adeik, ek²=ae², fk²=abcek, hk²=abcek, ik²=bcek, jk²=ab²cek, k³=gk², b²l=ab³cg, bcl=bdg, c²l=adg², bel=ab²ceg, cel=deg, e²l=be², fl=abl, gl=acl, hl=dl, il=bl, jl=bdl, k²l=be², l²=adl>

P = {a, b², ac, ac², ac³, d, cd, c²d, c³d, be, e², g, cg, ab²cg, c²g, adg, acdg, ac²dg, abceg, ag², acg², dg², cdg², h, ch, c²h, c³h, adh, acdh, ac²dh, ac³dh, agh, dgh, ah², ach², ac²h², ac³h², dh², cdh², c²dh², c³dh², bi, ei, afi, bdj, bhj, dij, k, ck, ab²ck, c²k, c³k, abdk, abc²dk, abcek, adek, ac²dek, dfk, c²dfk, achk, ac³hk, dhk, cdhk, c²dhk, c³dhk, ghk, h²k, ch²k, c²h²k, c³h²k, acdh²k, ac³dh²k, adik, acdik, ac²dik, cdjk, chjk, cdh²jk, acijk, dgk², al, acl, dl, cdl, bkl, adkl, ekl}

Phi = 1 1 a a 1 b a ab b a ab c a d c e d f e g f ab² g h ab² i h j i k j l k

Monoid Structure