Details Page for 0.0164

Complete Solution is Known:

MSV File: q-0.0164.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₁₃(0.0164):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s | a²=1, b⁴=b², b³c=bc, b²c²=c², c⁴=ac³, b³d=bd, cd=ab²d, bd²=abc³, d³=d, be=bd, ce=ab²d, d²e=e, e²=ac³, b²f=f, c²f=abc³, df=bd, ef=bd, f²=ac³, b²cg=cg, c²g=c³, bdg=abd, eg=ab²d, g²=ac³, b²h=h, ch=ac³, dh=ab²d, eh=ab²d, gh=bcfg, fh²=afh, h³=ah², bi=bd, c²i=b²d, di=ac³, ei=ac³, fi=bd, gi=ab²d, hi=ab²d, i²=ac³, bj=bd, c²j=b²d, dj=ac³, ej=ac³, fj=bd, gj=ab²d, hj=ab²d, j²=ac³, b²k=k, ck=acfg, dk=bd, ek=bd, fk=ac³, gk=acfg, hk=bc³, ik=bd, jk=bd, k²=ac³, b²l=bc³, cl=abc³, dl=abd, el=abd, fl=c³, hl=abc³, il=abd, jl=abd, kl=c³, l²=ac³, b³m=bm, cm=ac³, bdm=abd, em=dg, fm=bc³, gm=ac³, h²m=ahm, im=ab²d, jm=ab²d, km=bc³, lm=abc³, m²=ac³, b³n=bn, cn=bcfg, dn=dg, en=ab²d, fn=bc³, gn=ac³, hn=hm, in=ab²d, jn=ab²d, kn=bc³, ln=abc³, mn=ac³, n²=ac³, bo=bn, c²o=c³, do=ab²d, eo=ab²d, fo=bc³, go=ac³, ho=hm, cijo=bgl, ko=bc³, lo=abc³, mo=ac³, no=ac³, o²=ac³, b²p=p, cp=fg, dp=bd, ep=bd, gp=bc³, h²p=ahp, ip=bd, jp=bd, kp=ac³, lp=c³, np=mp, op=mp, p²=ac³, b²q=q, cq=bcfg, dq=ab²d, eq=ab²d, fq=bc³, gq=ac³, hq=ac³, iq=ab²d, jq=ab²d, kq=bc³, lq=abc³, mq=ac³, nq=ac³, oq=ac³, pq=bc³, q²=ac³, b²r=r, cr=ar, d²r=r, er=dr, fr=br, gr=ar, hr=ar, ir=dr, jr=dr, kr=br, lr=abr, mr=ar, nr=ar, or=ar, pr=br, qr=ar, r²=ac³, b²s=s, cs=as, d²s=s, es=ds, fs=bs, gs=as, hs=as, is=ds, js=ds, ks=bs, ls=abs, ms=as, ns=as, os=as, ps=bs, qs=as, s²=ac³>

P = {a, b², ac, ab²c, c², ac³, ad, ad², ade, bf, abcf, bg, b³g, bcg, fg, ah, abfh, h², ij, acij, bk, l, agl, abm, hm, ab²n, ao, cio, aijo, abp, bhp, fhp, abmp, aq}

Phi = 1 1 a 1 a bd bd bd abd abd b b a c c d e abd bd bd bd f g ah² h i b²d j dg abd k abc³ abc³ l m n o b²d ab²d abd abd acfg p abc³ c³ q acio b²d b²d abd abd r abc³ bd afg ar bdr b²d b²d b²d ab²d ab²d abc³ abc³ abc³ bc³ bc³ abdr r ab²d ab²d ab²d ar br bc³ abc³ abc³ abd dr ab²d b²d b²d c³ c³ c³ abc³ abc³ abd abd abd b²d b²d b²d c³ c³ abc³ abc³ abc³ abd abd bd bd b²d c³ c³ r abdr abc³ abdr bd abd br b²d s r c³ c³ c³ bdr bd bd bd r r s c³ ab²d as adr adr abd bds bd bd r c³ c³ c³ b²d b²d b²d bds abd abc³ bd br s c³ c³ c³ bdr abdr bds abd abd abc³ abc³ abc³ c³ c³ c³ b²d b²d bds abd abd as abc³ s s dr dr b²d ab²d ab²d br abc³ abc³ bc³ bc³ dr dr r c³ ar ar br abr abc³ abc³ adr dr ab²d b²d ab²d ar s bds bs bc³ abd abd abd ds ab²d ab²d c³ c³ abc³ abc³ bc³ abd abd abd r r c³ c³ c³ bs abs abc³ abc³ abc³ bd as r r b²d s abs abdr bd bd bd ds ads r r s bs bdrs bds bdr abdr ds rs r c³ r bs abs abs abdr bds abr abds ads s s r r bdrs bdr abdr bds abds bc³ abc³ abc³ s adr ab²d b²d b²d b²d bds ars bd abc³ abc³ ar ar bdrs b²d b²d b²d bds bds abc³ br as s s dr dr ads bds bds br br abr drs dr dr ab²d ab²d bds abds

Monoid Structure