Details Page for 0.2454

Complete Solution is Known:

MSV File: q-0.2454.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₀(0.2454):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s | a²=1, b⁴=b², bc²=b, c³=c, b²d=ab²c, c²d=d, d³=acd², b²e=b²c, c²e=e, bde=ab³, d²e=acde, e²=b², bf=abce, c²f=f, d²f=acdf, def=acef, f²=b², c²g=g, bdg=abcg, beg=b³cg, b²g²=b², d²g²=acdg², bg³=bg, deg³=deg, dfg³=dfg, efg³=efg, g⁴=g², h=abce, i=ab², b²j=ab³g, c²j=j, bgj=ab², egj=abe, fgj=bce, g²j=abg, bej²=be, gj²=abj, bj³=bj, ej³=ej, fj³=fj, dj⁴=dj², j⁵=j³, bk=b³g, c²k=k, dk=ack, egk=aefg², fgk=ab², g³k=gk, jk=ab³, gk²=b²g, fk³=fk, k⁴=k², b²l=ab³c, c²l=l, bdl=abcl, el=abce, fl=be, bgl=efg, dgl=acgl, bjl=efj, gkl=ab³c, k²l=ab³c, l²=b², bm=ab², c²m=m, d²m=acdm, em=ab³c, fm=b³, gm=ab³g, j³m=jm, km=ab³g, dlm=aclm, m²=b², bn=ajlm, c²n=n, d²n=acdn, en=b²g, fn=ab²cg, dgn=acgn, g²n=aefg, gjn=jlm, j³n=jn, kn=b²c, ln=cjlm, mn=ab³cg, n²=b², bo=b³g, c²o=o, d²o=acdo, eo=b²cg, fo=ab²g, go=b², jo=abce, ko=b², lo=ab³cg, mo=ab³g, no=b²c, o²=b², b²p=ab²cg, c²p=p, bd²p=ab³cg, bep=abdp, dep=b²cg, fp=acep, bgp=ab³c, d²gp=efg², dg²p=acefg, gjp=abp, bj²p=bp, d²j²p=ab²cg, ej²p=adj²p, dj³p=aejp, kp=ab²c, blp=b²g, glp=b³, dj²lp=abcdp, j³lp=abcjp, mp=bcdp, np=acdjlp, op=adjlp, p²=b², bq=ab²g, c²q=q, dq=b³cg, eq=ab³cg, fq=b³g, gq=ab³, jq=b², kq=ab³, mq=b²g, nq=ab³c, oq=ab³, q²=b², b²r=b³cg, c²r=r, dr=acr, ber=b²g, gr=d²jp, jr=ab²c, kr=d²jp, blr=efr, mr=abr, nr=b³, or=b³c, pr=acd²jp, qr=ab²c, r²=b², b²s=s, c²s=s, ds=acs, es=cs, fs=as, g²s=s, js=abgs, ks=gs, ls=abcs, ms=abs, ns=cgs, os=gs, ps=acgs, qs=abgs, rs=bcgs, s²=b²>

P = {a, b², c², acd, d², ce, ade, acf, df, cfg, adfg, g², acdg², ceg², adeg², acfg², dfg², cfg³, fj, acdfj, cefj, j², acdj², d²j², cej², adej², acfj², dfj², j⁴, afk, cgk, k², cek², acfk², acl, dl, acd²l, acgl, acg²l, acg³l, acj²l, dj²l, acd²j²l, acj⁴l, akl, gp, g³p, abjp, alp, cdlp, ad²lp, cjlp, aj²lp, afr, acefr}

Phi = 1 1 a b a b ab c d e f bc abc g abce bce ab² b j k abe be l b²c ab²c gjl m n ab² bd² ab² o ab³g b²c ab²c b³ b²cg p q r ab² b³ ab² b³ ab³ b²c abdp b³g ab² b³c s b²g bcdp b³ ab² b³ ab³g b²g s

Monoid Structure