Details Page for 0.7712

Complete Solution is Known:

MSV File: q-0.7712.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₂(0.7712):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b³=b, bc²=b, c³=c, bd²=b, cd²=c, d³=d, be=abc, ce=ab², e²=b², b²f=f, c²f=f, d²f=f, ef=acf, f³=df², b²g=g, c²g=g, d²g=g, eg=acg, f²g=bcdf², fg³=fg, g⁴=g², bh=bc, ch=b², fh=cf, gh=cg, h²=b², f²i=df², fi³=dfi², bi⁴=bdi³, ci⁴=cdi³, di⁴=d²i³, gi⁴=dgi³, i⁵=i³, b²j=j, c²j=j, d²j=j, ej=acj, f²j=bf², hj=cj, i⁴j=di³j, fg²i²j²=bcdfgi²j², fj³=bfj², g³i³j³=bcdg²i³j³, j⁴=bj³, c²k=k, d²k=k, ek=ab²ck, f²k=df², hk=b²ck, fik=dfi, bi²k=bi³, gi²k=gi³, i³k=di²k, i²jk=i³j, fj²k=dfj², b²k²=k², fk²=dfk, ik²=b²dik, j²k²=dj²k, k³=dk²>

P = {a, b², ac, ac², d, cd, c²d, ad², ae, ad²e, bdf, f², abdg, afg, g², adfg², dg³, i, c²i, adi, b²di, acdi, ac²di, d²i, adei, bfi, abgi, adfgi, bfg²i, abg³i, aehi, ai², b²i², aci², ac²i², di², c²di², ad²i², aei², ad²ei², bdfi², abdgi², afgi², g²i², bdfg²i², abdg³i², i³, c²i³, adi³, b²di³, acdi³, ac²di³, d²i³, adei³, abgi³, dg²i³, abg³i³, aehi³, ai⁴, aei⁴, bcj, cdfj, acdgj, abfgj, bg²j, abdfg²j, bdg³j, bcdij, cfij, acgij, abdfgij, bci²j, cdfi²j, acdgi²j, abfgi²j, bcg²i²j, acdg³i²j, bcdi³j, acgi³j, bcdg²i³j, acg³i³j, j², bcdfj², abcdgj², afgj², g²j², adfg²j², dg³j², dij², bcfij², abcgij², adfgij², ag³ij², i²j², bcdfi²j², abcdgi²j², afgi²j², g²i²j², di³j², abcgi³j², dg²i³j², bj³, acdgj³, bg²j³, bdg³j³, bdij³, acgij³, abg³ij³, bi²j³, acdgi²j³, bg²i²j³, bdi³j³, acgi³j³, bdg²i³j³, adk, b²dk, acdk, bfk, abgk, adfgk, dg²k, bfg²k, abg³k, aik, b²ik, acik, abdgik, g²ik, abdg³ik, adi²k, acdi²k, bcdjk, cfjk, acgjk, abdfgjk, acg³jk, bcijk, acdgijk, bcg²ijk, acdg³ijk, dj²k, abcgj²k, dg²j²k, abcg³j²k, ij²k, abcdgij²k, abcdg³ij²k, bdj³k, acgj³k, bdg²j³k, acg³j³k, bij³k, acdgij³k, acdg³ij³k, k², abdgk², g²k², abdg³k², bcjk², acdgjk², bcg²jk², acdg³jk²}

Phi = 1 a b ab a c ab b c ac b ab ac ab² ab b c ac bc ab d ad abc b e ae bc ab b²c e f b ab² ae g bc ae ab² b abc ab² h ab bc i ab²c b ab ab² b²c ab j k ab²c b

Monoid Structure