Details Page for 0.1422

Complete Solution is Known:

MSV File: q-0.1422.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₀(0.1422):

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,y,z | a²=1, b⁶=b⁴, bc=b⁴, c²=b⁴, d²=1, be=b²d, ce=b⁴d, e²=b², b²f=ab⁵, cf=ab⁴, ef=bdf, f²=b⁴, b²g=b³, cg=b⁴, eg=bdg, fg=bf, g²=b⁴, b²h=ab³, ch=ab⁴, eh=bdh, fh=b⁴, gh=abg, bh²=b³, h³=ab⁵, bi=b³, ci=b⁵, ei=b³d, fi=ab⁵, gi=b⁵, hi=ab³, i²=b⁴, bj=ab³, cj=ab⁵, ej=ab³d, fj=b⁵, gj=ab³, hj=b³, ij=ab⁴, j²=b⁴, b²k=b⁵d, ek=bdk, bfk=ab⁵d, gk=b⁴d, bhk=ab⁵d, h²k=b⁵d, ik=b⁵d, jk=ab⁵d, bk³=bk, ck³=ck, fk³=fk, hk³=hk, k⁴=k², bl=b⁴, cl=b⁴, el=b⁴d, fl=ab⁴, gl=b⁴, hl=ab⁴, il=b⁵, jl=ab⁵, kl=b⁴d, l²=b⁴, b³m=b⁵d, cm=b⁵d, em=bdm, bhm=abgm, h²m=bgm, im=b²m, jm=abgm, km=bk², lm=b⁵d, m²=b⁴, bn=b³, cn=b⁵, en=b³d, fn=ab⁵, gn=b³, hn=ab³, in=b⁴, jn=ab⁴, kn=b⁵d, ln=b⁵, mn=bgm, n²=b⁴, b³o=ab⁵, bfo=b⁴, bho=ab²o, h²o=b²o, io=b²o, cko=hk, hko=ahk, bmo=hm, fmo=b⁵d, hmo=ahm, no=b²o, bo²=abo, co²=aco, eo²=aeo, fo²=afo, go²=ago, ho²=aho, jo²=b²o, ko²=ako, lo²=alo, o³=ao², bp=ab⁵, cp=ab⁵, ep=ab⁵d, fp=b⁵, gp=ab⁵, hp=b⁵, ip=ab⁴, jp=b⁴, kp=ab⁵d, lp=ab⁵, np=ab⁴, op=abf, p²=b⁴, b⁴q=ab⁴d, cq=b³q, eq=bdq, fq=ab³q, jq=bhq, bkq=ab⁴, hkq=b⁴, lq=b³q, mq=ab⁴, nq=abhq, bgoq=b²oq, hoq=aboq, koq=fk²o, o²q=aoq, pq=abfm, q²=b⁴, b²r=ab⁵, cr=ab⁴, er=bdr, fr=b⁴, gr=br, hr=b⁴, ir=ab⁵, jr=b⁵, kr=ab⁴d, lr=ab⁴, mr=ab⁵d, nr=ab⁵, or=b⁵, pr=b⁵, qr=afm, r²=b⁴, b²s²=b², cs²=c, bfs²=bf, bgs²=bg, hs²=h, is²=i, js²=j, ks²=k, ls²=l, ms²=m, ns²=n, bos²=bo, eos²=eo, gos²=go, ps²=p, qs²=q, rs²=r, s³=s, b²t=b⁴d, ct=bt, et=bdt, ft=abt, gt=b⁵d, ht=ab⁵d, it=b⁴d, jt=ab⁴d, k²t=t, lt=b⁵d, mt=bkt, nt=b⁴d, ot=hk, pt=ab⁴d, qt=ab⁴, rt=ab⁵d, s²t=t, t²=b⁴, bu=b⁵, cu=b⁵, eu=b⁵d, fu=ab⁵, gu=b⁵, hu=ab⁵, iu=b⁴, ju=ab⁴, ku=b⁵d, lu=b⁵, mu=b⁴d, nu=b⁴, o²u=b⁴, pu=ab⁴, qu=bfm, ru=ab⁵, s²u=u, tu=b⁴d, u²=b⁴, b²v=b⁵d, ev=bdv, bfv=ab⁵d, gv=abdf, bhv=ab⁵d, h²v=b⁵d, iv=b⁵d, jv=ab⁵d, fkv=fk², lv=b⁴d, bmv=abdfm, fmv=ab⁴, hmv=ab⁴, nv=b⁵d, bov=abgm, hov=ahv, mov=ab⁵, o²v=aov, pv=ab⁵d, qv=kq, rv=ab⁴d, fsv=fks, bs²v=bv, btv=bkt, uv=b⁵d, bv²=bkv, fv²=fk², hv²=ab⁵, k²v²=v², mv²=bk²v, cov²=ab⁵, s²v²=v², ov³=kov², tv³=ktv², v⁴=v², b⁴w=b⁵, cw=b³w, ew=bdw, fw=ab³w, bhw=ab²w, iw=bgw, jw=ab²w, kw=b³dw, lw=b³w, mw=b⁵d, nw=b²w, ow=ab⁵, pw=ab⁵, b³qw=bfm, h²qw=fm, rw=ab⁴, tw=b⁵d, uw=b⁵, vw=b³dw, w²=b⁴, b²x=ab⁵, bfx=b⁵, gx=ab⁴, bhx=b⁵, h²x=ab⁵, ix=ab⁵, jx=b⁵, kx=dk²o, mx=bdk²o, nx=ab⁵, cox=acx, eox=aex, fox=afx, hox=ahx, o²x=aox, px=b⁵, qx=dfk²o, rx=b⁴, s²x=x, tx=dhk², ux=ab⁵, vx=dkov, wx=ab⁴, hx²=acx², ox²=ax², cx³=cx, ex³=ex, fx³=fx, x⁴=x², by=ab⁵d, cy=ab⁵d, ey=ab⁵, fy=b⁵d, gy=ab⁵d, hy=b⁵d, iy=ab⁴d, jy=b⁴d, ky=abk², ly=ab⁵d, my=bdfm, ny=ab⁴d, oy=abko, py=b⁴d, qy=b⁴, ry=b⁵d, s²y=y, ty=abkt, uy=ab⁴d, vy=abkv, wy=ab⁵d, xy=abdk²o, y²=b⁴, b²z=ab⁴d, cz=ab⁵d, ez=bdz, fz=b⁵d, gz=gmo, hz=abz, iz=ab⁴d, jz=b⁴d, kz=abkv, lz=ab⁵d, mz=ab⁴, nz=ab⁴d, boz=abz, pz=b⁴d, qz=b⁴, rz=b⁵d, s²z=z, tz=abkt, uz=mp, vz=abkv, wz=ab⁵d, xz=b⁵d, yz=b⁴, z²=b⁴>

P = {a, b², b⁴, ad, abf, bg, abh, h², i, aj, adk, acdk, dhk, ak², adk², adk³, bdm, adfm, abdgm, n, o, ab²o, do, abgo, jo, bdko, k²o, dk²o, dmo, ao², ado², admo², ap, dmp, adq, ab²dq, adiq, adk²q, abr, abds, acds, aes, dfs, bdgs, bdhs, adh²s, adjs, aks, abdk²s, acdk²s, dfk²s, dhk²s, ak³s, dos, b²dos, abdgos, dk²os, adfk²os, k³os, ado²s, dps, bdrs, as², ads², os², dos², ao²s², ado²s², akt, abst, adkst, u, aou, dsu, adv, dhv, adk²v, mv, acdov, dfov, akov, abdksv, admsv, dkosv, dk³osv, ads²v, atv, adstv, v², cdkv², aov², dosv², adkstv², adv³, w, b³w, dw, adgw, ahw, adqw, ab²dqw, abdsw, b³dsw, adgsw, dhsw, qsw, bs²w, gs²w, bx, cx, bdx, cdx, adfx, ahx, dlx, abox, lox, ax², adx², adsx², acdsx², dfsx², bx³, bdx³, dlx³, dsx³, doz, ado²z}

Phi = 1 a 1 1 b b b a a b² ab ab c d ab² b⁴ e f g h bf i j k ah l m n o p q bo r s t u v w x y z

Monoid Structure