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 Q₃₇(0.4104):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b⁴=b², bc³=bc, c⁴=c², b²d=ab³, bd³=bd, d⁴=d², b³e=be, c³e=ce, bde=ab²e, d³e=de, b²e²=e², c²e²=e², de²=abe², e³=ae², bf=ab², c³f=cf, d³f=df, ef=abe, f²=b², bc²g=bg, c³g=cg, bd²g=bg, d³g=dg, c²eg=eg, d²eg=eg, e²g=ace², fg=abg, bg²=abcg, c²g²=g², d²g²=g², eg²=aceg, g³=acg², b²h=ab³c², bd²h=bh, d³h=dh, beh=ab²c²e, d²eh=eh, e²h=abe², d²fh=fh, bgh=bdg, cgh=adg², d²gh=gh, egh=deg, g²h=dg², bh²=bdh, d²h²=h², eh²=deh, fh²=dfh, gh²=dgh, h³=dh², b²i=b³, c³i=ci, bd²i=bi, d³i=di, bei=b²e, d²ei=ei, e²i=be², d²fi=fi, gi=bg, bhi=ab³c², d²hi=hi, ehi=ab²c²e, fhi=b³c², h²i=adfh, i²=afi, b²cj=ab²c, c³j=cj, d²j=j, cej=ab²ce, e²j=ae², fj=ab³j, gj=bdg, bc²hj=bhj, ehj=bc²e, bcij=cfi, eij=bej, hij=ac²fi, j²=bhj, bd²k=bk, d³k=dk, d²ek=ek, e²k=ace², d²fk=fk, bgk=bceg, d²gk=gk, egk=ae², g²k=ab²eg, d²hk=hk, d²ik=ik, bhjk=c²fhk, bk²=bcek, ck²=ac²deik, d²k²=k², ek²=ae², fk²=abcek, hk²=abcek, ik²=bcek, jk²=ab²cek, k³=gk², b²l=ab³cg, bcdl=bg, c²d²l=adg², bel=ab²ceg, cdel=eg, e²l=be², dfl=abdl, gl=acd²l, bhl=bdl, chl=cdl, ehl=del, fhl=abdl, h²l=dhl, il=afl, jl=bdl, bckl=ab²ceg, c²dkl=b²eg, cekl=be², fkl=abkl, k²l=be², l²=ad²hl, b²m=b³k, c³m=cm, bcdm=cdfhk, bem=b²ek, cdem=acdehk, e²m=abce², dfm=abdm, gm=ac³kl, bchm=cdfhk, ehm=ac²dehk, fhm=abhm, h²m=dhm, bim=b³k, cdim=acdhik, eim=b²ek, fim=ab³k, him=bhm, bjm=b²jk, cjm=bcjk, ejm=bejk, hjm=bdhm, ijm=bijk, bckm=b²c²ek, cdkm=ab²c²ek, ekm=abe², fkm=abkm, hkm=dkm, ikm=bkm, jkm=bdkm, k²m=abce², cdlm=ac³kl, c²elm=elm, delm=abce², hlm=dlm, cklm=elm, bdm²=ab²cek, cdm²=ackm, d²m²=bkm, em²=acelm, c²fm²=fm², bhm²=ab²cek, chm²=ackm, dhm²=bkm, im²=afm², jm²=ab²cek, km²=aelm, blm²=celm, flm²=ae², m³=aclm², b³n=bn, cn=aceg, bdn=ab²n, d²n=n, e²n=ace², fn=abn, gn=ceg, bhn=b²eg, h²n=dhn, in=bn, hjn=abeg, ehkn=bklm, k²n=ace², ln=ahn, mn=bkn, n²=e², b²o=ab³cg, c³o=co, bc²do=bdo, bd²o=bc²o, cd²o=co, eo=abceg, fo=b²cg, go=bg, bho=b³cg, d²ho=ho, h²o=dho, io=ab²cg, jo=b³cg, bko=acgk, d²ko=ko, k²o=be², blo=ab³cg, clo=bdg, d²lo=lo, hlo=bdl, cmo=achko, bdmo=b²eg, hmo=d³mo, kmo=abdklm, lmo=bd²lm, dm²o=abm²o, no=abeg, o²=ab²cg>

P = {a, b², ac, ac², b²c², ac³, d, cd, c²d, c³d, ad², acd², ac²d², ac³d², d³, cd³, c²d³, c³d³, be, bc²e, e², g, cg, ab²cg, c²g, adg, acdg, ac²dg, d²g, cd²g, c²d²g, abceg, ag², acg², dg², cdg², h, ch, c²h, c³h, adh, acdh, ac²dh, ac³dh, d²h, cd²h, c²d²h, c³d²h, agh, dgh, ah², ach², ac²h², ac³h², dh², cdh², c²dh², c³dh², bi, bc²i, ei, c²ei, afi, ac²fi, ab²j, bdj, bc²dj, abej, dej, bhj, abij, dij, c²dij, k, ck, ab²ck, c²k, c³k, abdk, abc²dk, d²k, cd²k, c²d²k, c³d²k, 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, ac²l, ac³l, dl, cdl, c²dl, c³dl, ad²l, acd²l, d³l, cd³l, hl, adhl, d²hl, bkl, c³kl, adkl, ekl, ahkl, m, cm, c²m, adm, acdm, ac²dm, d²m, cd²m, c²d²m, ad³m, acd³m, ac²d³m, ahm, achm, ac²hm, dhm, cdhm, c²dhm, ad²hm, acd²hm, ac²d²hm, akm, ac²km, bdkm, ad²km, lm, clm, c²lm, adlm, d²lm, ad³lm, am², acm², ac²m², dm², hm², alm², ac²lm², kn, b²kn, bekn, adekn, dhkn, ajkn, ab²jkn, dejkn, bo, bc²o, cdko, ahko, am²o}

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 m l n m o n

Monoid Structure