Details Page for 0.3501

Complete Solution is Known:

MSV File: q-0.3501.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₂(0.3501):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b³=b, b²c=c, c⁴=c³, b²d=d, c³d=c²d, cd²=d², d³=ad², b²e=e, c³e=bc³, c²de=bc²d, d²e=bd², c²e²=c², ce³=ce, e⁴=e², b²f=f, cdf=df, d²f=ad², def=bdf, c²f²=d², df²=ad², e²f²=f², f³=acf², b²g=g, c²g=bc³, cdg=bc²d, d²g=bd², deg=cd, ce²g=cg, dfg=bdf, f²g=cef², cg²=c³, eg²=bc³, dg³=bdg², fg³=bfg², g⁴=bg³, h=c, b²i=i, c³i=ad², di=d², e²fi=fi, fg²i=d², i²=d², b²j=j, c³j=c³, dj=dg², ce²j=cj, e³j=ej, f²j=d², cgj=bc²j, fg²j=c³f, g³j=bg²j, c²fij=abcef²i, g²ij=ad², cj²=c³, ej²=bc²j, g²j²=g²j, fij²=acf²i, j³=g²j, b²k=k, c²k=c²ej, d²k=bd², cdek=c²d, de²k=bcde², dfk=bdf, f²k=bcf², cgk=c³, g²k=bc³, cejk=bcjk, e²jk=jk, gjk=c²j, j²k=bc³, ck²=bc²ej, dek²=bc²d, e³k²=ek², dgk²=cdk, egk²=c³, fgk²=fgj², gik²=gij², jk²=bc²ej, k³=bc³>

P = {a, b², c, c², c³, bd, acd, ac²d, d², be, bce, bc²e, ade, e², ce², bde², acde², be³, ade³, f, acf, ac²f, ac³f, bdf, aef, bcef, abc²ef, e²f, ace²f, ae³f, f², cf², bef², bcef², bg, bcg, dg, eg, ceg, be²g, e³g, bfg, abcfg, aefg, acefg, be²fg, ae³fg, g², bdg², fg², bg³, bi, aci, ac²i, aei, abc²ei, be²i, ace²i, ae³i, fi, c²fi, aefi, cefi, bf²i, acf²i, aef²i, abcgi, acegi, bcfgi, befgi, bg²i, j, cj, c²j, bej, bcej, bc²ej, e²j, afj, acfj, ac²fj, abefj, abcefj, abc²efj, ae²fj, bgj, egj, be²gj, bfgj, aefgj, abe²fgj, g²j, aij, acij, ac²ij, abceij, abc²eij, ae²ij, bfij, bcfij, efij, aegij, abe²gij, fgij, j², fj², bgj², bfgj², bij², bk, bck, adk, ek, cek, bdek, be²k, bce²k, e³k, bfk, bcfk, efk, acefk, abe²fk, abce²fk, e³fk, gk, adgk, begk, e²gk, be³gk, afgk, befgk, ae²fgk, abe³fgk, beik, aceik, abe²ik, abce²ik, befik, bcefik, agik, ae²gik, abe³gik, bjk, bcjk, ejk, abfjk, abcfjk, aefjk, abijk, abcijk, aeijk, befijk, k², bdk², bek², e²k², fk², abefk², ae²fk², bgk², bik², abeik², ae²ik², fik²}

Phi = 1 a b c d b² e f g c i j k

Monoid Structure