Details Page for 0.7452

Complete Solution is Known:

MSV File: q-0.7452.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₆(0.7452):

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 | a²=1, b³=b, b²c=c, c³=ac², b²d=d, cd=c², d²=c², b²e=e, c²e²=c², ce³=ce, de³=de, e⁴=e², b²f=f, c²f=acf, df=cf, cef=aef, e²f=acf, f²=c², b²g=g, c²g=bc², e³g=eg, cfg=bcf, efg=bef, g²=c², b²h=h, ch=acg, dh=adg, eh=aeg, fh=afg, gh=ac², h²=c², b²i=i, c²i=ac²e, di=ci, e³i=ei, fi=aef, e²gi=gi, hi=agi, i²=aei, b²j=j, cj=cf, dj=cf, ej=ef, fj=c², gj=abcf, hj=bcf, ij=aef, j²=c², b²k=k, ck=cf, ek=ef, fk=c², gk=abcf, hk=bcf, ik=aef, k²=c², b²l=l, c²l=bc², dl=cl, ce²l=cl, e³l=el, fl=abcf, gl=c², hl=ac², il=gi, jl=abcf, kl=abcf, l²=c², b²m=m, cm=c²e, e²m=m, fm=aef, gm=abc²e, hm=bc²e, im=c², jm=aef, km=aef, lm=abc²e, m²=c², b²n=n, cn=c², dn=c², e³n=en, fn=cf, e²gn=gn, hn=agn, e²in=in, gin=cgi, jn=cf, kn=dk, e²ln=ln, mn=c²e, n²=c², b²o=o, c²o=acf, eo=ef, cfo=ac², cgo=bcf, dgo=bco, fgo=bjk, ho=ago, io=aef, jo=c², ko=c², lo=abcf, mo=aef, no=cf, o²=c², b²p=p, cp=c²e, dp=c²e, e³p=ep, fp=aef, e²gp=gp, hp=agp, ip=c², jp=aef, kp=aef, e²lp=lp, mp=dem, np=c²e, op=aef, p²=c², b²q=q, c²q=c²e, dq=cq, e²q=q, fq=ef, gq=bc²e, hq=abc²e, iq=ac², jq=ef, kq=ef, lq=bc²e, mq=ac², nq=ac²e, oq=ef, pq=ceq, q²=c², b²r=r, cr=cf, dr=cf, er=ef, fr=c², hr=bcf, ir=aef, jr=jk, kr=jk, lr=abcf, mr=aef, nr=cf, or=c², pr=aef, qr=ef, r²=c², b²s=s, c²s=bc²e, ds=cs, fs=bef, e²gs=gs, hs=ags, js=bef, ks=bef, cls=cgs, e²ls=ls, ms=abdem, e²ns=ns, gns=cgs, lns=cgs, os=bef, ps=abc², qs=abceq, rs=bef, s²=c², b²t=t, c²t=abc², ce²t=ct, de²t=dt, e³t=et, ft=bcf, cgt=c², dgt=abelp, e²gt=gt, ht=agt, e²it=it, git=c²e, jt=bcf, kt=bcf, lt=ac², dmt=bcq, e²nt=nt, gnt=aceq, int=cit, ot=bcf, e²pt=pt, gpt=ablp, qt=abc²e, rt=bcf, st=abpt, t²=c², b²u=u, cu=c², du=c², e²u=u, fu=cf, gu=acegi, hu=cegi, iu=ce²i, ju=cf, ku=cf, lu=acegi, mu=c²e, nu=c², ou=cf, pu=c²e, qu=ac²e, ru=cf, su=aceis, tu=aceit, u²=c², b²v=v, dv=cv, cfv=afv, e²gv=gv, fgv=bfv, hv=agv, jv=fv, kv=fv, clv=cgv, e²lv=lv, e²nv=nv, gnv=cgv, lnv=cgv, ov=fv, pv=ac²ev, cqv=ac²ev, rv=fv, sv=bc²ev, ctv=bc²v, e²tv=tv, gtv=aeqv, itv=bc²ev, mtv=bqv, ntv=bc²v, uv=aceiv, v²=c², b²w=w, c²w=bc²e, dw=cw, e²w=w, fw=bef, gw=c²e, hw=ac²e, iw=aew, jw=bef, kw=bef, lw=c²e, mw=abc², nw=cw, ow=bef, pw=abc², qw=bc², rw=bef, sw=c², tw=egis, uw=cw, vw=bc²ev, w²=c², b²x=x, c²x=bc²e, dx=cx, ex=bjk, fx=bef, gx=c²e, hx=ac²e, cix=bjk, jx=bef, kx=bef, lx=c²e, mx=abc², nx=abc²e, ox=bef, px=abc², qx=bc², rx=bef, sx=c², tx=ac²e, ux=abc²e, vx=bc²ev, wx=c², x²=c², b²y=y, cy=aelp, dy=aelp, e³y=ey, fy=bcf, gy=ac², hy=c², iy=bc²e, jy=bcf, ky=bcf, ly=ac², my=bc²e, ny=abceq, oy=bcf, py=alp, qy=abc²e, ry=bcf, sy=blp, ty=c², uy=bc², vy=abeqv, wy=ac²e, xy=ac²e, y²=c²>

P = {a, b², bc, c², ad, ace, e², bce², ade², bf, abg, abdeg, be²g, abce²g, bh, aei, cei, abegi, bcegi, bk, abdk, abl, abcel, be²l, aem, ae²n, ein, aco, fo, abp, aep, abgp, ablp, eq, agr, abs, abces, be³s, gs, acegs, bis, abe²is, bce²is, gis, ls, abens, bt, bcet, bdet, abe²t, agt, beit, abceit, bemt, bpt, aeu, aev, abegv, aciv, abcgiv, abelv, mv, ainv, aqv, betv, abew, abx, bix, by, abe²y}

Phi = 1 a 1 a ef aef ef b ab c bef abef ef aef ef d e ae bef abef f g h i ai ac² j cf k l al m bef n o ao aef p q aq bef abef r s t ac²e c²e u bef acf efv bc² abc² v abcf abef efv acf w ac² c²e ac²e bef abef efv x y

Monoid Structure