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 Q₃₈(0.1067):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x | 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, eh²=aeh, fh²=afh, h³=ah², b²i=ab², bdi=abd, c²di=ac²d, dei=ade, e²i=af², c²fi=c²ei, efi=af², f²i=af², gi=ab²c, c³hi=chi, ehi=ef², fhi=ef², ch²i=ac³h², bci²=ac²ei, di²=adi, cei²=bi², fi²=ei², hi²=ahi, i³=ai², b²j=ab², bc³j=bcj, c⁴dj=c²dj, c²ej=bcj, fj=ej, gj=ab²c, c³hj=chj, ehj=ae³j, c⁵ij=c³ij, dij=adj, ceij=bij, chij=achj, h²ij=ah²j, bi²j=abij, ci²j=acij, ei²j=aeij, j²=b², b²k=ab³, c⁵k=c³k, e²k=ab³, efk=ab³, f²k=ab³, hk=b³, c³i²k=ac³ik, c⁴jk=c²jk, i²jk=aijk, k²=b², bl=ab², c⁴l=c²l, el=ab²c, fl=ab²c, hl=b³, dil=adl, i²l=ail, c³jl=cjl, ijl=ajl, l²=b², b²m=ab²c, bc²m=abcij, bdm=dej, cdm=dj, c²em=abij, e²m=ab²c, fm=em, gm=ab², c³hm=chm, ehm=b³, ch²m=ab², bim=acem, c²im=ac²m, dim=adm, ceim=acem, him=ac²hm, i²m=aim, jm=b²c, c²km=acijk, cekm=aeijk, cikm=ijk, clm=jl, ilm=alm, 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, c²ko=abcjk, lo=agkl, 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, 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, c²es=bcijk, e²s=ab³, fs=eijk, gs=ab³c, hs=b³, is=aijk, js=b³, ks=agkp, ls=ajkl, ms=b³c, ns=ab³c, os=ab²c, ps=ab²c, qs=eijk, rs=b², s²=b², bt=bijk, c⁴t=c²t, et=es, ft=eijk, gt=ab³c, ht=b³, c²it=ac²t, dit=adt, i²t=ait, jt=b³, c³kt=ckt, dkt=bdjk, ikt=akt, c³lt=clt, dlt=adjkl, ilt=alt, klt=ab³, 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, b²v=ab²c, bcv=ac²gp, dv=b²c, ev=ac²gp, fv=ac²gp, gv=ab², c²hv=hv, h²v=ab²c, biv=b³c, c²iv=iv, hiv=c³dkl, bjv=b³c, hjv=acdjkl, i²jv=aijv, c²kv=b³c, ikv=ab³c, jkv=ab³c, lv=b³c, mv=acijv, nv=ab², ov=ab³, pv=ab³, qv=ab³, rv=b³c, sv=b³c, tv=b³c, uv=b²c, v²=b², bc⁴w=bc²w, e²w=b²w, c²fw=bcw, efw=b²w, f²w=b²w, c³hw=chw, ehw=ab³cw, fhw=ab³cw, c²h²w=h²w, diw=adw, c²eiw=bciw, cfiw=biw, c²hiw=hiw, h²iw=ah²w, bi²w=abiw, ei²w=afiw, c⁵jw=c³jw, h²jw=ac²hjw, hijw=ac²hjw, c²i²kw=ac²ikw, c³lw=clw, glw=ab³cw, ilw=alw, jlw=b³w, bmw=aeijw, cemw=aeijw, hmw=b²cw, imw=amw, ckmw=aijkw, lmw=b³cw, nw=b²cw, ckow=abjkw, cpw=abjw, dpw=adejw, gpw=b³w, kpw=kow, iqw=fiw, c²sw=c²ijkw, ltw=abdjkw, bvw=ab³cw, c⁴vw=c²vw, jvw=abgkw, kvw=b³cw, w²=b², b²x=b²w, bc⁴x=bc²x, e²x=b²w, c²fx=bcx, efx=b²w, f²x=b²w, c³hx=chx, ehx=ab³cw, fhx=ab³cw, c²h²x=h²x, dix=adx, c²eix=bcix, cfix=bix, hix=h²x, bi²x=abix, ei²x=afix, c⁵jx=c³jx, h²jx=ac²hjx, c²i²kx=ac²ikx, c³lx=clx, dlx=b³w, glx=ab³cw, ilx=alx, jlx=b³w, klx=b²w, bmx=aeijx, cemx=aeijx, hmx=b²cw, imx=amx, ckmx=aijkx, lmx=b³cw, nx=b²cw, ckox=abjkx, cpx=abjx, dpx=adejx, gpx=b³w, kpx=kox, iqx=fix, drx=alx, c²sx=c²ijkx, ltx=abdjkx, bvx=ab³cw, c⁴vx=c²vx, hvx=abc²gkx, ivx=abc²gkx, jvx=abgkx, kvx=b³cw, bgwx=agl, bdjwx=adjl, dejwx=adlm, bijwx=jl, eijwx=lm, x²=b²>

P = {a, b², c², c⁴, ad, ac²d, ac⁴d, ae, ae², ae³, f², cg, c³g, ach, ac³h, e³h, aefh, h², c²h², ai, ac²i, ac⁴i, di, chi, ah²i, i², c²i², c⁴i², ac²j, ac⁴j, dj, c²dj, ej, e³j, ac²h²j, c²ij, c⁴ij, aeij, abk, ac²k, bc³k, bdk, bc³dk, ac²ek, abcgk, aegk, bik, c²ik, bc⁴ik, abi²k, bjk, c²jk, abdjk, abijk, abc²ijk, kl, ac³kl, adkl, ac³dkl, cgkl, aikl, ac²ikl, ajkl, ac²jkl, djkl, ckm, adekm, aeikm, n, ac⁴o, c²kp, agkp, ackq, c⁴kq, c³dt, kt, lt, au, av, ac²v, c⁵v, hv, iv, ai²v, c³jv, bkv, aw, ac³w, ac⁵w, ac⁴gw, hw, c²hw, iw, ahiw, ai²w, ac²i²w, ac⁴i²w, cjw, c³jw, ac³djw, bkw, abc²dkw, c²dklw, vw, c³vw, achvw, acivw, ci²vw, ac⁴x, c⁴ix, ac⁴i²x, c⁴jx, ac⁴ijx, ac²kx, c⁵mx, wx, c²wx, ac⁴wx, adwx, ac²dwx, ac⁴dwx, cgwx, c³gwx, ahwx, c²hwx, ah²wx, aiwx, c²iwx, c⁴iwx, ai²wx, ac²i²wx, ac⁴i²wx, ajwx, ac²jwx, djwx, c²djwx, hjwx, ijwx, abkwx, ac²kwx, bc³kwx, bdkwx, bc³dkwx, ac²ekwx, aegkwx, bikwx, bc²ikwx, bjkwx, c²jkwx, acmwx, ac³mwx, ac⁵mwx, ekmwx, adekmwx, ac⁴owx, ackqwx, c⁴kqwx, c³dtwx, ktwx, auwx, acvwx, c³vwx}

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 v w x

Monoid Structure