Details Page for 0.3576

Complete Solution is Known:

MSV File: q-0.3576.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₅(0.3576):

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,B,C,D | a²=1, b⁵=b³, b⁴c=b²c, b²c²=c², c³=b²c, b²d=ab⁴, cd=ab²c, d²=b⁴, b²e=b³, ce=b³c, de=bd, e²=b⁴, b³f=ab³, cf=ab²c, df=ab²f, ef=bd, f²=b⁴, b²g=b³, cg=b³c, dg=bd, eg=b⁴, fg=bd, g²=b⁴, b⁴h=b²h, b²ch=ch, c²h=b²h, beh=b²h, fh=dh, gh=eh, h²=c², b²i=b²c, bci=bc², c²i=b²c, di=ab²c, bei=b²c, fi=ab²c, gi=b³c, bhi=bch, chi=b²h, ehi=bch, i²=c², b²j=ab³c, bcj=aci, c²j=ab³c, dj=b³c, ej=ab²c, fj=b³c, gj=ab²c, chj=ab³h, bij=aci, cij=ab³c, hij=ab³h, j²=c², ck=b³c, bdk=ab³k, bfk=aek, gk=ek, hk=eh, ik=b³c, jk=ab²c, k²=c², b³l=bch, cl=b²h, bdl=abch, bfl=ael, gl=el, hl=b²c, il=b²h, jl=ab³h, kl=bch, l²=c², b²m=m, cm=ab²c, dm=am, em=bm, fm=am, gm=bm, hm=ab²h, im=ab²c, jm=b³c, km=ab⁴k, lm=ach, m²=am, cn=ab²h, bdn=ab³n, gn=en, hn=ab²c, in=ab²h, jn=b³h, ln=ac², n²=c², b⁴o=b²o, co=ab²c, do=ab²o, beo=b²o, bfo=aeo, go=eo, ho=ab²h, io=ab²c, jo=b³c, ko=ab⁴k, lo=ach, mo=ab²o, o²=ab²o, b⁴p=b²p, cp=b³c, bdp=ab³p, bep=b²p, bfp=aep, gp=ep, hp=eh, ip=b³c, jp=ab²c, kp=c², lp=bch, mp=ab²p, dnp=ab²np, op=ab⁴k, b²p²=p², dp²=ap², ep²=bp², fp²=ap², p⁴=c², b²q=ab³c, cq=ij, dq=b³c, beq=ab³c, fq=b³c, gq=ab²c, ehq=ach, biq=aci, eiq=aci, hiq=ab³h, jq=c², kq=ab²c, lq=ab³h, mq=b³c, nq=b³h, oq=b³c, pq=ab²c, q²=c², b³r=br, cr=ab²c, dr=ab²r, er=br, fr=ab²r, gr=br, hr=ab²h, ir=ab²c, jr=b³c, kr=abc², lr=ach, mr=ab²r, b²nr=nr, or=b³k, b²pr=pr, npr=anp³, p²r=ac², qr=b³c, r²=c², b⁴s=b²s, cs=b³c, ds=ab²s, es=b³s, fs=ab²s, gs=b³s, hs=abdh, is=b³c, js=ab²c, ks=c², ls=bch, ms=ab²s, b²ns=ns, os=ab⁴k, ps=c², qs=ab²c, rs=abc², s²=c², b²ct=b²h, c²t=ch, bdt=ab³t, b²ft=abet, gt=abft, ht=aeq, bit=bct, cit=ch, eit=bct, jt=ab³h, b²kt=kt, dkt=akt, ekt=bkt, fkt=akt, lt=c², b²nt=nt, dnt=ant, ent=bnt, fnt=ant, mnt=ant, b²ot=ot, eot=bot, fot=aot, not=ant, b²pt=pt, dpt=apt, ept=bpt, fpt=apt, npt=knt, p²t=abnp³, qt=ab³h, b²rt=rt, nrt=abknt, prt=abch, st=abrt, t²=c², bu=b³s, cu=b³c, du=ab²s, eu=b³s, fu=ab²s, gu=b³s, hu=abdh, iu=b³c, ju=ab²c, ku=c², lu=bch, mu=ab²s, nu=ns, ou=ab⁴k, pu=c², qu=ab²c, ru=abc², su=c², tu=abrt, u²=c², b²v=b³h, cv=bch, ev=bv, fv=dv, gv=bv, bdhv=aci, iv=bch, jv=ach, kv=bv, lv=b³c, mv=ab³h, nv=ab³c, ov=ab³h, pv=bv, qv=ach, rv=ab³h, sv=abdv, tv=b³c, uv=abdv, v²=c², w=b²h, b²cx=cx, gx=ex, ehx=bhx, ix=cx, jx=abcx, lx=chx, mnx=ab⁴nx, np²x=achx, qx=abcx, b²rx=rx, prx=abc²x, bsx=arx, nsx=abnrx, ctx=b²hx, bftx=aetx, mtx=ab⁴tx, ntx=ac²x, ux=sx, vx=b³hx, x²=c², b²y=b⁴k, cy=b³c, dy=ab⁴k, ey=b³k, fy=ab⁴k, gy=b³k, hy=b³h, iy=b³c, jy=ab²c, ky=c², ly=bch, my=ab⁴k, ny=b⁴kn, oy=ab⁴k, py=c², qy=ab²c, ry=abc², sy=c², ty=kt, uy=c², vy=b²h, xy=b⁴kx, y²=c², z=b²o, b²A=bp², cA=b³c, dA=abp², eA=p², fA=abp², gA=p², hA=b³h, iA=b³c, jA=ab²c, kA=c², lA=bch, mA=abp², nA=bnp², oA=abc², pA=bp³, qA=ab²c, rA=abc², sA=c², tA=anp³, uA=c², vA=b²h, xA=bp²x, yA=c², A²=c², b²B=B, cB=ab²c, dB=aB, eB=bB, fB=aB, gB=bB, hB=ab²h, iB=ab²c, jB=b³c, kB=abc², lB=ach, mB=aB, oB=aB, pB=abc², qB=b³c, rB=c², sB=abc², ntB=abknt, uB=abc², vB=ab³h, yB=abc², AB=abc², B²=c², b⁴C=b²C, cC=ab²h, eC=bC, fC=dC, gC=bC, hC=ab²c, iC=ab²h, jC=b³h, bkC=b³kn, blC=abc², dlC=ci, mC=mn, b²nC=nC, dnC=anC, knC=bc², oC=b²no, pC=b²np, qC=b³h, rC=nr, bsC=bns, nsC=bc², tC=nt, uC=sC, vC=ab³c, b²xC=xC, dxC=axC, kxC=b⁴knx, nxC=c²x, sxC=abnrx, yC=b⁴kn, AC=bnp², BC=nB, C²=c², cD=b²h, b²fD=abeD, gD=eD, hD=b²c, iD=b²h, jD=ab³h, bkD=bkt, ekD=bkt, fkD=dkD, elD=acj, b⁴nD=b²nD, dnD=ab²nD, enD=b³nD, fnD=ab²nD, knD=knt, mnD=ab²nD, b²oD=oD, eoD=boD, foD=aoD, b³pD=bpD, dpD=ab²pD, epD=bpD, fpD=ab²pD, qD=ab³h, b²rD=rD, sD=abrt, b²tD=tD, dtD=atD, etD=btD, ftD=atD, ktD=bc², ntD=ach, otD=ac², rtD=ac², uD=abrt, vD=b³c, b²xD=xD, dxD=axD, exD=bxD, fxD=axD, kxD=ktx, mxD=axD, nxD=ac²x, oxD=otx, rxD=rtx, txD=c²x, yD=kt, AD=bp²D, BD=tB, CD=b²nD, D²=c²>

P = {a, b², b⁴, c², be, ab²f, ag, bi, hi, cj, bhj, bk, b³k, ek, am, ao, ab²o, fo, bp, b³p, ep, p², bp³, bq, abhq, aiq, ab²r, abpr, as, b³s, abct, abnt, abhv, bx, abdhx, nx, b²nx, b⁴nx, aenx, ab²fnx, aknx, ab²knx, ab⁴knx, eknx, bnox, b³nox, fnox, enpx, anrx, tx, b²tx, b⁴tx, aetx, aktx, botx, artx, aB, anxB, atxB, bC, abdC, kC, adkC, abnC, sC, abxC, abdD, abfD, adkD, lD, b²lD, bnD, b²npD, bnp²D, abtD, amtD, xD, ap³xD}

Phi = 1 a b a b c ac c d e f g h ah i j k l m n o p b²c q b²c r s t u v b²h bdv ab³c x y b²o A ap² b²c ab³c b²c ab³c B C ac² D

Monoid Structure