Details Page for 0.1067

Complete Solution is Known:

MSV File: q-0.1067.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₅(0.1067):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a²=1, b⁴=b², b²c²=b², bc⁵=bc³, c⁶=c⁴, b²d=ab², bc⁴d=bc²d, c⁵d=c³d, d²=b², be=b²c, c³e=bc⁴, cde=bd, ce²=b²c, de²=ab², e⁴=e², bf=b²c, c³f=bc⁴, df=de, cef=b²c, cf²=b²c, e²f²=f², f³=ef², b²g=b²c, bc⁴g=bc²g, c⁵g=c³g, dg=ab²c, ceg=bg, e²g=b²c, fg=eg, g²=b², bh=ab³, c⁴h=c²h, dh=b², ceh=ab³, cfh=ab³, e²fh=ae²f, f²h=af², gh=ab²c, c²h²=b², eh²=aeh, fh²=afh, h³=ah², b²i=ab², bdi=abd, c²di=ac²d, dei=ade, e²i=af², fi=ei, gi=ab²c, chi=ac³h, ehi=ef², h²i=af², bci²=ac²ei, c³i²=ac³i, di²=adi, cei²=bi², hi²=ahi, i³=ai², b²j=ab², bc³j=bcj, c⁵j=c³j, c⁴dj=c²dj, c²ej=bcj, fj=ej, gj=ab²c, c³hj=chj, ehj=ae³j, h²j=e²j, dij=adj, ceij=bij, hij=ahj, i²j=aij, j²=b², b²k=ab³, c⁵k=c³k, bc²dk=ac²h, e²k=ab³, efk=ab³, f²k=ab³, hk=b³, c⁴jk=c²jk, bcdjk=achj, k²=b², bl=ab², c⁴l=c²l, dl=abd, el=ab²c, fl=ab²c, gl=abg, hl=b³, i²l=ail, jl=bij, ikl=bi²k, l²=b², b²m=ab²c, bc²m=abcij, bdm=dej, cdm=dj, c²em=abij, e²m=ab²c, fm=em, gm=ab², chm=c²hj, ehm=b³, h²m=ach², bim=acem, c²im=ac²m, dim=adm, ceim=acem, him=achj, i²m=aim, jm=b²c, c²km=acijk, cekm=aeijk, cikm=ijk, lm=acem, m²=b², bn=b³c, c²n=b²c, dn=ab²c, en=b³, fn=b³, gn=b², hn=an, in=ab²c, jn=ab²c, kn=ab³c, ln=ab³c, mn=acn, n²=b², bo=abgk, c⁵o=c³o, do=adej, eo=aegk, fo=aegk, go=b³, ho=ab³c, io=cem, jo=ab³c, ko=aejk, lo=bgk, mo=ab³, no=b³, o²=b², bp=b²c, c³p=abc²j, c²dp=abcdj, ep=b², fp=b², hp=ab³c, ip=cem, jp=ab³c, lp=ab²c, mp=ab³, np=b³, op=agkp, p²=b², bq=b²c, c⁵q=c³q, dq=de, eq=b², fq=b², gq=eg, hq=ab³c, ciq=abi², i²q=aiq, jq=cem, ckq=akl, ikq=aei²k, lq=ab²c, mq=aeim, nq=b³, oq=aegk, pq=b², q²=b², br=ab², c³r=cr, er=ab²c, fr=ab²c, gr=ab³c, hr=b³, ir=ar, jr=b³, kr=b², lr=b², mr=b³c, nr=ab³c, or=ab²c, pr=ab²c, qr=ab²c, r²=b², bs=bijk, c³s=c³ijk, ds=adjk, es=abkm, fs=eijk, gs=ab³c, hs=b³, is=aijk, js=b³, ks=agkp, ls=abijk, ms=b³c, ns=ab³c, os=ab²c, ps=ab²c, qs=eijk, rs=b², s²=b², bt=bijk, c⁴t=c²t, et=abkm, ft=eijk, gt=ab³c, ht=b³, c²it=ac²t, dit=adt, i²t=ait, jt=b³, c³kt=ckt, dkt=bdjk, ikt=akt, lt=kt, mt=b³c, nt=ab³c, ot=ab²c, pt=ab²c, qt=eijk, rt=abijk, st=b², t²=b², bu=ab³, cu=adek, du=b², eu=ab³c, fu=ab³c, gu=ab²c, hu=b², iu=au, ju=adekm, ku=b³, lu=b³, nu=ab²c, ou=ab³c, pu=ab³c, qu=ab³c, ru=b³, su=b³, tu=b³, u²=b²>

P = {a, b², c², c⁴, ad, ac²d, ac⁴d, ae, ae², ae³, f², cg, c³g, ach, ac³h, e³h, aefh, h², ai, ac²i, ac⁴i, di, i², c²i², ac²j, ac⁴j, dj, c²dj, ej, e³j, c²ij, c⁴ij, aeij, abk, ac²k, bc³k, bdk, ac²ek, abcgk, aegk, bik, c²ik, bc⁴ik, abi²k, bjk, c²jk, abdjk, abijk, abc²ijk, kl, ac³kl, ckm, adekm, aeikm, n, ac⁴o, c²kp, agkp, c³dt, kt, au}

Phi = 1 a 1 1 b b b ab c a a d e f b b cq g b²c h i j k l acq m b²c n b²c o p q r s t u

Monoid Structure