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 Q₅₀(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,E | 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, bw=b³h, cw=ch, dw=ab²h, ew=b³h, fw=ab²h, gw=b³h, hw=c², iw=ch, jw=abch, kw=b³h, lw=b²c, mw=ab²h, nw=ab²c, ow=ab²h, pw=b³h, qw=abch, rw=ab²h, sw=b³h, tw=b²c, uw=b³h, vw=bc², w²=c², 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, wx=b²hx, 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, wy=b³h, 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, wA=b³h, xA=bp²x, yA=c², A²=c², b⁴B=b²B, cB=ab²h, eB=bB, fB=dB, gB=bB, hB=ab²c, iB=ab²h, jB=b³h, bkB=b³kn, blB=abc², dlB=ci, mB=mn, b²nB=nB, dnB=anB, knB=bc², oB=b²no, pB=b²np, qB=b³h, rB=nr, bsB=bns, nsB=bc², tB=nt, uB=sB, vB=ab³c, wB=ab²c, b²xB=xB, dxB=axB, kxB=b⁴knx, nxB=c²x, sxB=abnrx, yB=b⁴kn, AB=bnp², B²=c², cC=b²h, b²fC=abeC, gC=eC, hC=b²c, iC=b²h, jC=ab³h, bkC=bkt, ekC=bkt, fkC=dkC, elC=acj, b⁴nC=b²nC, dnC=ab²nC, enC=b³nC, fnC=ab²nC, knC=knt, mnC=ab²nC, b²oC=oC, eoC=boC, foC=aoC, b³pC=bpC, dpC=ab²pC, epC=bpC, fpC=ab²pC, qC=ab³h, b²rC=rC, sC=abrt, b²tC=tC, dtC=atC, etC=btC, ftC=atC, ktC=bc², ntC=ach, otC=ac², rtC=ac², uC=abrt, vC=b³c, wC=b²c, b²xC=xC, dxC=axC, exC=bxC, fxC=axC, kxC=ktx, mxC=axC, nxC=ac²x, oxC=otx, rxC=rtx, txC=c²x, yC=kt, AC=bp²C, BC=b²nC, C²=c², b⁴D=b²D, cD=b³c, eD=bD, fD=dD, gD=bD, bhD=b²h, dhD=ab³h, iD=b³c, jD=ab²c, kD=alB, lD=bch, mD=ab²D, b²nD=nD, dnD=anD, oD=ab²D, pD=ci, qD=ab²c, rD=abc², sD=ci, b²tD=tD, dtD=atD, ntD=knt, uD=ci, vD=b²h, wD=hD, b²xD=xD, dxD=axD, hxD=b³hx, yD=ci, AD=c², BD=nD, CD=tD, D²=c², b³E=bE, cE=cx, bdE=abE, eE=bE, fE=dE, gE=bE, hE=b²hx, iE=cx, jE=abcx, kE=xD, blE=bchx, mE=ab²E, dnE=ab²nE, b²oE=oE, b²pE=pE, dpE=apE, np²E=achx, qE=abcx, b²rE=rE, nrE=abnxD, prE=ap³E, sE=xD, b²tE=tE, dtE=atE, ntE=ac²x, otE=atE, ptE=txD, rtE=abtxD, uE=xD, vE=b³hx, wE=b²hx, xE=c², yE=xD, AE=bp²E, BE=b²nE, b²CE=CE, dCE=aCE, lCE=c²x, nCE=ac²x, oCE=atE, tCE=c²x, DE=xD, E²=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, bB, abdB, kB, adkB, abnB, sB, abxB, abdC, abfC, adkC, lC, b²lC, bnC, b²npC, bnp²C, abtC, amtC, xC, ap³xC, b³D, hD, bnxD, btxD, lE, adlE, b²nE, anoE, tE, CE, bp³CE, arCE}

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 w bdv ab³c x y b²o A ap² b²c ab³c b²c ab³c ab³D B ac² C D ab³c b²c ab³c E ac² bc² ac² bc² b²c b³h b²c ab³c ac² bc² aci c²x abc²x b²c bc² b²c ab³c

Monoid Structure