Details Page for 0.2644

Complete Solution is Known:

MSV File: q-0.2644.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₂(0.2644):

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,A | a²=1, b⁴=b², b³c=bc, bc²=b³, c³=c, bd=ab³, c²d=d, d⁴=ad³, be=abc, c²e=e, d²e=ab²c, e⁵=ace⁴, b²f=ab³, cf=abc, df=b³, ef=bc, f²=b², b³g=bg, c²g=g, e²g=aceg, fg=abg, g²=b², bh=abg, c²h=h, d³h=ad²h, e²h=ceg, fh=bg, gh=ab², h²=b², bi=abc, c²i=i, d²i=ab²c, dei=acde³, e²i=ace⁴, fi=bc, gi=eg, hi=aeg, i²=e⁴, bj=bc, c²j=j, d²j=b²c, de²j=cde⁴, e³j=ae⁴, fj=abc, gj=aeg, hj=eg, ij=ace²j, j²=e⁴, bk=b²cg, c²k=k, d²k=bcg, e²k=cdek, fk=ab²cg, gk=bc, hk=abc, ik=adek, jk=bg, k²=b², bl=abg, d²l=d²h, e²l=aceh, fl=bg, gl=ab², hl=b², il=eh, jl=eg, kl=abc, l²=b², bm=bg, c²m=m, d³m=ad²m, e²m=cel, fm=abg, gm=b², hm=ab², im=ael, jm=eh, km=bc, lm=ab², m²=b², bn=ab³, c²n=n, d³n=ad²n, en=de³, fn=b³, hn=agn, in=acde⁴, jn=cde⁴, kn=abcg, dln=adgn, dmn=ad²gn, n²=b², bo=bc, c²o=o, d²o=ado, eo=ab², fo=abc, ho=ago, io=ab², jo=b², ko=bg, lo=ago, mo=adgo, no=ab²c, o²=b², bp=bcg, c²p=p, d³p=ad²p, ep=cem, fp=abcg, dgp=agp, hp=agp, ip=acel, jp=ceh, kp=b³, lp=agp, mp=b²c, np=del, op=b²g, p²=b², bq=bcg, c²q=q, d³q=ad²q, fq=abcg, d²gq=gp, d²hq=ab²c, iq=ace²q, jq=ae³q, kq=b³, elq=achq, d²mq=b²c, emq=clq, nq=de²q, oq=b²g, pq=cmq, q²=b², br=bg, c²r=r, d³r=ad²r, er=em, fr=abg, gr=b², hr=ab², ir=ael, jr=eh, kr=bc, lr=ab², mr=b², nr=cdel, or=b²cg, pr=b²c, qr=mq, r²=b², bs=bc, c²s=s, ds=agp, e²s=b²c, fs=abc, gs=b²cg, hs=ab²cg, is=ab², js=b², ks=bg, ls=ab²cg, ms=b²cg, ns=ab²c, os=b², ps=b²g, qs=b²g, rs=b²cg, s²=b², b³t=bt, c²t=t, d²t=b²t, de²t=acdet, e³t=ace²t, ft=abt, b²gt=gt, dgt=agt, egt=acgt, ht=agt, it=ace²t, jt=ce²t, kt=bcgt, lt=agt, mt=gt, nt=acdet, ot=b²ct, pt=cgt, gqt=b²ct, rt=gt, st=b²ct, t²=b², bu=bcg, c²u=u, d³u=ab²cg, eu=ab²g, fu=abcg, d²gu=aces, d²hu=ab²c, iu=ab²g, ju=b²g, ku=b³, mu=b²c, d²nu=ab²cg, dgnu=aces, lnu=agnu, ou=cdnu, pu=b², qu=b², ru=b²c, su=b²g, tu=cgt, u²=b², bv=abt, c²v=v, d³v=ad²v, e²v=acev, fv=bt, gv=agt, hv=gt, iv=ev, jv=aev, kv=abcgt, lv=gt, mv=agt, nv=acdev, ov=ab²ct, pv=acgt, qv=acgt, rv=agt, sv=ab²ct, tv=ab², uv=acgt, v²=b², bw=ab²t, c²w=w, d²w=abt, e³w=ace²w, fw=b²t, egw=acgw, hw=agw, iw=ace²w, jw=ce²w, kw=acgt, elw=cgw, emw=clw, nw=de²w, ow=abct, pw=cmw, qw=abcgt, rw=mw, sw=abct, tw=ab³, uw=abcgt, vw=b³, w²=b², bx=abg, c²x=x, d³x=ad²x, e³x=ace²x, fx=bg, degx=acdegq, hx=agx, ix=ace²x, jx=ce²x, kx=abc, lx=agx, demx=cdehq, d²nx=adnx, mnx=gnx, dox=aox, gox=agp, dpx=dhq, gpx=ab²cg, qx=ab²c, rx=cpx, sx=ab²cg, tx=agt, ux=ab²c, vx=gt, wx=bgt, x²=b², by=abcg, c²y=y, dy=d²u, ey=b²g, fy=bcg, hy=dhu, iy=b²g, jy=ab²g, ky=ab³, ly=dlu, my=ab²c, ny=dnu, oy=ab²g, py=ab², qy=ab², ry=ab²c, sy=ab²g, ty=acgt, uy=ab², vy=cgt, wy=bcgt, xy=b²c, y²=b², bz=ab²ct, c²z=z, d²z=abct, ez=bt, fz=b²ct, dhz=abcgt, iz=bt, jz=abt, kz=agt, dlz=abcgt, mz=abcgt, dnz=abct, gnz=dgz, lnz=adgz, oz=abt, pz=abgt, qz=abgt, rz=abcgt, sz=abt, tz=abc, uz=abgt, vz=bc, wz=b²c, xz=bcgt, yz=bgt, z²=b², bA=ab²ct, c²A=A, d³A=ad²A, deA=abt, e²A=aceA, fA=b²ct, gA=abcgt, hA=bcgt, iA=eA, jA=aeA, kA=agt, lA=bcgt, mA=abcgt, d²nA=adnA, oA=cdnA, pA=abgt, qA=abgt, rA=abcgt, sA=abt, tA=abc, uA=abgt, vA=bc, wA=b²c, xA=bcgt, yA=bgt, zA=b², A²=b²>

P = {a, b², c², acd, d², ad³, cde, e², ade², ace³, cde³, e⁴, ade⁴, af, ach, ci, ej, aek, dek, al, cn, acdn, cd²n, acp, cdp, acd²p, cq, acdq, cd²q, egq, achq, cdhq, adehq, aclq, cdlq, cmq, acdmq, cr, acdr, cd²r, acs, cqt, aeqt, deqt, agu, dgu, hu, aclu, cdlu, gnu, cv, acdv, cd²v, aev, dev, dgw, cgx, acdgx, cd²gx, amx, dmx, ad²mx, acgnx, cdgnx, acpx, acgz, cdgz, chz, aA, ad²A, ceA, adnA}

Phi = 1 1 a bc abc b ab c d e abc bc f g h i j k ab³ abc l m n o bcg b³ bc ab³ b²g p agp bcg abcg ab³ b³ b²g q gp bg bcg b³ ab³ r s ces ab²t bcg ab³ t u ab²c v bcg ab³ abg w x bc y bcg b³ ab²t bt z ab²c b²cg gt ab³ abcg abcgt bct b²cg A ab²ct b³ bcg abt b²c ab²cg

Monoid Structure