Details Page for 0.1263

Complete Solution is Known:

MSV File: q-0.1263.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₀(0.1263):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a²=1, b⁴=b², b²c²=b², bc³=bc, c⁴=c², bd=b²c, d²=b², b²e=ab², bc²e=be, cde=be, be²=abe, de²=ade, e³=ae², bf=be, c²f=c²e, cdf=be, def=adf, e²f=aef, cf²=c³e², ef²=af², df³=df, f⁴=f², b²g=b²c, bcg=c³d, c²dg=bc², eg=ace², fg=acef, bg²=bc², dg²=c²d, g³=c²g, bh=b²c, ch=c³d, dh=b², eh=de, fh=df, g²h=c²d, h²=b², b²i=ab², ci=c³e, ei=c²e², fi=c²e², bgi=di, dgi=be, g²i=ac²e², hi=di, i²=c²e², b²j=ab², bc²j=bj, c³j=cj, cdj=bj, bej=abj, c²ej=ej, dej=abcj, e²j=aej, fj=ej, bgj=bcj, dgj=bj, g²j=c²j, hj=bcj, ij=ej, bj²=abj, c²j²=j², dj²=abcj, j³=aj², bk=abce, ck=c²e², dk=abe, ek=ac³e², fk=ac³e², gk=c²e², hk=abe, ik=ac³e², jk=acej, k²=c²e², b²l=b³, c²l=l, dl=bcl, el=al, fl=al, gl=cl, hl=bcl, il=al, jl=be, kl=cl, bl³=bl, l⁴=l², bm=ab², dm=ab²c, c²e²m=be, f²m=be, cgm=acd, g²m=adg, hm=ab²c, gim=adi, cjm=abcj, ejm=bj, gjm=adj, j²m=bj, km=di, lm=abl, m²=b², b²n=ab³, bjn=ben, djn=din, ejn=ac²jn, cgjn=c²jn, j²n=ac²jn, bln=ab³, l²n=ab³, jmn=abin, bn²=b³, cn²=b²c, dn²=b³c, en²=ab², fn²=ab², gn²=b²c, hn²=b³c, jn²=ab², kn²=b²c, ln²=b³, mn²=ab³, n³=ab³>

P = {a, b², ac, ac², ac³, ce, c³e, ace², ac³e², cf, acef, ag², acg², ac²g², ac³g², gi, j, cj, c²j, acej, aj², acj², cej², ak, al, acl², al³, bn, bcn, bc²n, abcen, den, dfn, df²n, adgn, gin, mn, c²mn, aemn, e²mn, afmn, efmn, aimn, n²}

Phi = 1 a 1 1 b b ab ab a a 1 c b b ab d e f b² g bc² b bj h i j b² k l m n

Monoid Structure