Details Page for 0.1042

Complete Solution is Known:

MSV File: q-0.1042.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₁(0.1042):

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, b⁵=b³, bc=b⁴, c²=b⁴, bd²=b, cd²=c, d⁴=d², be=b²d, ce=b⁴d, d³e=de, de²=b²d, e⁵=e³, b²f=ab³, cf=ab⁴, d²f=f, ef=bdf, f²=b⁴, b²g=b³, cg=b⁴, d²g=g, eg=bdg, fg=bf, g²=b⁴, b²h=ab³, ch=ab⁴, d²h=h, eh=bdh, fh=b⁴, gh=abg, bh²=b³, h³=ab³, bi=abg, ci=ab⁴, d³i=di, dei=abg, e⁴i=e²i, fi=b⁴, gi=abg, hi=b², i²=bg, bj=b³, cj=b³, d²j=b², dej=b³, e³j=ej, fj=ab³, gj=b³, hj=ab³, dij=ab³d, e²ij=ij, j²=b⁴, b²k=b³d, d²k=k, ek=bdk, bfk=ab³d, gk=b⁴d, hk=ack, ik=ack, jk=b³d, k³=k, bl=bg, cl=b⁴, d²l=l, el=bdg, fl=ab⁴, gl=bg, hl=abg, il=abg, jl=b³, kl=ck, l²=bg, bm=b⁴, cm=b⁴, d³m=dm, em=ae³i, fm=ab⁴, gm=b⁴, hm=ab⁴, im=ab⁴, jm=aij, km=b⁴d, lm=b⁴, m²=b⁴, b³n=b³d, cn=b³d, d³n=dn, en=bdn, d²in=in, jn=b²n, kn=bk², mn=b³d, n²=b⁴, bo=b³d, co=b³d, do=abh, eo=b³, fo=ab³d, go=b³d, ho=ab³d, io=ab³d, jo=b⁴d, ko=b³, lo=b³d, mo=b³d, no=abdhn, o²=b⁴, b²p=abg, cp=ac, bfp=b⁴, bgp=abg, bhp=b², h²p=bh, d²ip=ip, eip=bdg, ijp=b³, bkp=ack, fkp=afk, lp=aip, d²mp=mp, bnp=in, fnp=b³d, inp=ln, op=ab²d, bp²=ip, e²p²=ae²p, fp²=afp, gp²=agp, hp²=bp, ip²=aip, jp²=ajp, kp²=akp, mp²=amp, ep³=aep², p⁴=ap³, b³q=ab³, cq=fk², d³q=dq, bfq=b⁴, d²iq=iq, eiq=abdgq, djq=b²dq, ijq=b³, fkq=b⁴d, mq=ab³, d²nq=nq, fnq=b³d, oq=abdhq, bpq=iq, fpq=afq, gpq=agq, ipq=lq, hnpq=bnq, q²=abf, b²r=ab³, cr=ab⁴, d³r=dr, der=br, e⁴r=e²r, fr=b⁴, bgr=ab³, bhr=b³, h²r=ab³, e³ir=eir, djr=ab³d, e²jr=jr, kr=bkq, lr=ad²ir, dmr=bfn, nr=bnq, or=ab³d, pr=depq, qr=b³, r²=b⁴, bs=ab³d, cs=ab³d, d²s=s, es=ab³, fs=b³d, gs=ab³d, hs=b³d, is=b³d, js=ab⁴d, ks=ab³, ls=ab³d, ms=ab³d, os=ab⁴, ps=abdh, qs=adh²q, rs=b³d, s²=b⁴, b²t=b⁴d, d³t=dt, et=b³, bft=ab⁴d, gt=b³d, bht=ab⁴d, h²t=b⁴d, it=abt, djt=b⁴, kt=ck², lt=bt, d²mt=mt, nt=b⁴, ot=b⁴, bpt=abt, fpt=aft, hpt=bt, mpt=amt, p²t=apt, qt=fk, rt=ab³d, st=ab⁴, t²=b⁴, b²u=b⁴d, d²eu=eu, e²u=b⁴d, bfu=ab⁴d, gu=b³d, hu=acu, iu=acu, eju=b³, lu=cu, d²mu=mu, bnu=b³, dnu=bdku, fnu=ab³, ou=b⁴, bpu=acu, fpu=afu, mpu=amu, dp²u=adpu, ep²u=aepu, p³u=ap²u, d²qu=qu, fqu=b³d, jqu=ab⁴d, bk²qu=bqu, nqu=bkqu, p²qu=apqu, ru=dequ, su=ab⁴, btu=dmu, ctu=dmu, ftu=afq, mtu=b³, dptu=adtu, jptu=djpu, u²=b⁴, bv=ab³, cv=ab³, d²v=v, ev=ab³d, fv=b³, gv=ab³, hv=b³, iv=b³, jv=ab⁴, kv=ab³d, lv=ab³, mv=ab³, nv=abgn, ov=ab⁴d, pv=bg, qv=abgq, rv=b³, sv=b⁴d, tv=ab⁴d, uv=ab⁴d, v²=b⁴, bw=b²n, cw=b⁴d, d²w=w, ew=b²dn, fw=ab⁴d, gw=bgn, hw=abgn, iw=abgn, jw=b³d, kw=b⁴, lw=bgn, mw=b⁴d, nw=b³, ow=b³, p²w=apw, pqw=alnq, rw=b²nq, sw=ab³, tw=b³, uw=dmu, vw=ab³d, w²=b⁴, b²x=ab³, d³x=dx, e²x=ij, bfx=b³, gx=ab⁴, bhx=b³, h²x=ab³, d²ix=ix, eix=b³d, jx=ab³, kx=dk²p, lx=aix, d²mx=mx, nx=acdk², ox=ab³d, bpx=ix, d²px=px, epx=ad²ex, fpx=afx, hpx=bx, ipx=aix, p³x=ap²x, bqx=adfk, d²qx=qx, fqx=bdgnq, hqx=dfk, iqx=dfk, pqx=aqx, brx=b³, drx=eqx, erx=eijr, hrx=ab³, irx=ab³, mrx=b³, sx=b³d, d²tx=tx, cux=bux, d²ux=ux, pux=aux, vx=b³, wx=btx, bx²=c, cx²=c, d²x²=x², hx²=ac, ix²=ac, px²=ax², rx²=deqx², ftx²=amu, mtx²=mu, eux²=aepu, fux²=fk²u, mux²=mu, qux²=apqu, ex³=d²ex, x⁴=x²>

P = {a, b², b⁴, ad, ad², ad³, e², e⁴, abf, bg, abh, h², j, e²j, adk, acdk, ak², adk², bdn, adfn, abdgn, abdhn, dh²n, o, p, dp, d²p, d³p, ae²p, ae⁴p, ajp, ae²jp, k²p, dk²p, dnp, ap², adp², ad²p², ad³p², adnp², p³, dp³, d²p³, d³p³, dnp³, ab²q, dq, ae²q, ae⁴q, abgq, bhq, ah²q, ajq, ae²jq, abdkq, dk²q, dnq, ab²dnq, bdhnq, adh²nq, epq, e³pq, aep²q, ar, bdr, er, dgr, eir, ads, adt, dpt, au, adu, ad²u, ad³u, dju, aku, acku, ak²u, adk²u, pu, dpu, d²pu, d³pu, jpu, k²pu, dk²pu, anpu, ap²u, abkqu, atu, ad²tu, ajtu, ptu, dv, bx, cx, bdx, cdx, adfx, ahx, adhx, aix, dmx, mpx, adqx, deqx, abdtx, admtx, bux, bdux, afux, equx, ax², adx², adtx², aux², adux², atux², adfx³, dmx³}

Phi = 1 a 1 1 1 b b b b a a a b² ab ab ab c d d ab² b⁴ e e f g h i bf j ab² abg k hp l m n b² o p q gn gn bp r s t u v abh w b³ x

Monoid Structure