Details Page for 0.2224

Complete Solution is Known:

MSV File: q-0.2224.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₆(0.2224):

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 | a²=1, b²⁷=b²⁵, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, be=ab⁷, ce=b⁸, de=b¹⁰, e²=b¹², b²f=ab⁹, cf=b⁹, df=b¹¹, ef=b¹³, f²=b¹⁴, b³g=ab¹¹, cg=ab²g, dg=b¹², eg=b¹⁴, fg=b¹⁵, g²=b¹⁶, b⁴h=ab¹³, ch=ab²h, dh=b¹³, eh=b¹⁵, fh=b¹⁶, gh=b¹⁷, h²=b¹⁸, b⁵i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=b¹⁶, fi=b¹⁷, gi=b¹⁸, hi=b¹⁹, i²=b²⁰, b⁶j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b¹⁷, fj=b¹⁸, gj=b¹⁹, hj=b²⁰, ij=b²¹, j²=b²², b⁷k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁶k, fk=b¹⁹, gk=b²⁰, hk=b²¹, ik=b²², jk=b²³, k²=b²⁴, b⁸l=ab²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=ab⁷l, gl=b²¹, hl=b²², il=b²³, jl=b²⁴, kl=b²⁵, l²=b²⁶, b⁹m=ab²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab⁷m, gm=ab⁸m, hm=b²³, im=b²⁴, jm=b²⁵, km=b²⁶, lm=b²⁵, m²=b²⁶, b¹⁰n=ab²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁷n, gn=ab⁸n, hn=ab⁹n, in=b²⁵, jn=b²⁶, kn=b²⁵, ln=b²⁶, mn=b²⁵, n²=b²⁶, b¹¹o=ab²⁵, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁷o, go=ab⁸o, ho=ab⁹o, io=ab¹⁰o, jo=b²⁵, ko=b²⁶, lo=b²⁵, mo=b²⁶, no=b²⁵, o²=b²⁶, b¹⁰p=b⁹o, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁷p, gp=ab⁸p, hp=ab⁹p, ip=ab⁹o, jp=ab¹⁰o, kp=b²⁵, lp=b²⁶, mp=b²⁵, np=b²⁶, op=b²⁵, p²=b²⁶, b⁹q=b⁸p, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=ab⁷q, gq=ab⁸q, hq=ab⁸p, iq=ab⁹p, jq=ab⁹o, kq=ab¹⁰o, lq=b²⁵, mq=b²⁶, nq=b²⁵, oq=b²⁶, pq=b²⁵, q²=b²⁶, b⁸r=b⁷q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=ab⁷r, gr=ab⁷q, hr=ab⁸q, ir=ab⁸p, jr=ab⁹p, kr=ab⁹o, lr=ab¹⁰o, mr=b²⁵, nr=b²⁶, or=b²⁵, pr=b²⁶, qr=b²⁵, r²=b²⁶, b⁷s=b⁶r, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=ab⁶r, gs=ab⁷r, hs=ab⁷q, is=ab⁸q, js=ab⁸p, ks=ab⁹p, ls=ab⁹o, ms=ab¹⁰o, ns=b²⁵, os=b²⁶, ps=b²⁵, qs=b²⁶, rs=b²⁵, s²=b²⁶, b⁶t=b⁵s, ct=ab²t, dt=ab⁴t, et=ab⁵s, ft=ab⁶s, gt=ab⁶r, ht=ab⁷r, it=ab⁷q, jt=ab⁸q, kt=ab⁸p, lt=ab⁹p, mt=ab⁹o, nt=ab¹⁰o, ot=b²⁵, pt=b²⁶, qt=b²⁵, rt=b²⁶, st=b²⁵, t²=b²⁶, b⁵u=b⁴t, cu=ab²u, du=ab⁴u, eu=ab⁵t, fu=ab⁵s, gu=ab⁶s, hu=ab⁶r, iu=ab⁷r, ju=ab⁷q, ku=ab⁸q, lu=ab⁸p, mu=ab⁹p, nu=ab⁹o, ou=ab¹⁰o, pu=b²⁵, qu=b²⁶, ru=b²⁵, su=b²⁶, tu=b²⁵, u²=b²⁶, b⁴v=b³u, cv=ab²v, dv=ab³u, ev=ab⁴t, fv=ab⁵t, gv=ab⁵s, hv=ab⁶s, iv=ab⁶r, jv=ab⁷r, kv=ab⁷q, lv=ab⁸q, mv=ab⁸p, nv=ab⁹p, ov=ab⁹o, pv=ab¹⁰o, qv=b²⁵, rv=b²⁶, sv=b²⁵, tv=b²⁶, uv=b²⁵, v²=b²⁶, b³w=b²v, cw=ab²w, dw=ab³v, ew=ab⁴u, fw=ab⁴t, gw=ab⁵t, hw=ab⁵s, iw=ab⁶s, jw=ab⁶r, kw=ab⁷r, lw=ab⁷q, mw=ab⁸q, nw=ab⁸p, ow=ab⁹p, pw=ab⁹o, qw=ab¹⁰o, rw=b²⁵, sw=b²⁶, tw=b²⁵, uw=b²⁶, vw=b²⁵, w²=b²⁶, b²x=bw, cx=abw, dx=ab²v, ex=ab³u, fx=ab⁴u, gx=ab⁴t, hx=ab⁵t, ix=ab⁵s, jx=ab⁶s, kx=ab⁶r, lx=ab⁷r, mx=ab⁷q, nx=ab⁸q, ox=ab⁸p, px=ab⁹p, qx=ab⁹o, rx=ab¹⁰o, sx=b²⁵, tx=b²⁶, ux=b²⁵, vx=b²⁶, wx=b²⁵, x²=b²⁶, by=x, cy=abx, dy=ab²w, ey=ab³v, fy=ab³u, gy=ab⁴u, hy=ab⁴t, iy=ab⁵t, jy=ab⁵s, ky=ab⁶s, ly=ab⁶r, my=ab⁷r, ny=ab⁷q, oy=ab⁸q, py=ab⁸p, qy=ab⁹p, ry=ab⁹o, sy=ab¹⁰o, ty=b²⁵, uy=b²⁶, vy=b²⁵, wy=b²⁶, xy=b²⁵, y²=b²⁶, bz=y, cz=ax, dz=abw, ez=ab²v, fz=ab³v, gz=ab³u, hz=ab⁴u, iz=ab⁴t, jz=ab⁵t, kz=ab⁵s, lz=ab⁶s, mz=ab⁶r, nz=ab⁷r, oz=ab⁷q, pz=ab⁸q, qz=ab⁸p, rz=ab⁹p, sz=ab⁹o, tz=ab¹⁰o, uz=b²⁵, vz=b²⁶, wz=b²⁵, xz=b²⁶, yz=b²⁵, z²=b²⁶, bA=z, cA=ay, dA=abx, eA=ab²w, fA=ab²v, gA=ab³v, hA=ab³u, iA=ab⁴u, jA=ab⁴t, kA=ab⁵t, lA=ab⁵s, mA=ab⁶s, nA=ab⁶r, oA=ab⁷r, pA=ab⁷q, qA=ab⁸q, rA=ab⁸p, sA=ab⁹p, tA=ab⁹o, uA=ab¹⁰o, vA=b²⁵, wA=b²⁶, xA=b²⁵, yA=b²⁶, zA=b²⁵, A²=b²⁶, bB=A, cB=az, dB=ax, eB=abw, fB=ab²w, gB=ab²v, hB=ab³v, iB=ab³u, jB=ab⁴u, kB=ab⁴t, lB=ab⁵t, mB=ab⁵s, nB=ab⁶s, oB=ab⁶r, pB=ab⁷r, qB=ab⁷q, rB=ab⁸q, sB=ab⁸p, tB=ab⁹p, uB=ab⁹o, vB=ab¹⁰o, wB=b²⁵, xB=b²⁶, yB=b²⁵, zB=b²⁶, AB=b²⁵, B²=b²⁶, bC=B, cC=aA, dC=ay, eC=abx, fC=abw, gC=ab²w, hC=ab²v, iC=ab³v, jC=ab³u, kC=ab⁴u, lC=ab⁴t, mC=ab⁵t, nC=ab⁵s, oC=ab⁶s, pC=ab⁶r, qC=ab⁷r, rC=ab⁷q, sC=ab⁸q, tC=ab⁸p, uC=ab⁹p, vC=ab⁹o, wC=ab¹⁰o, xC=b²⁵, yC=b²⁶, zC=b²⁵, AC=b²⁶, BC=b²⁵, C²=b²⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, af, abg, ah, ab²h, abi, ab³i, aj, ab²j, ab⁴j, abk, ab³k, ab⁵k, al, ab²l, ab⁴l, ab⁶l, abm, ab³m, ab⁵m, ab⁷m, an, ab²n, ab⁴n, ab⁶n, ab⁸n, abo, ab³o, ab⁵o, ab⁷o, ab⁹o, ap, ab²p, ab⁴p, ab⁶p, ab⁸p, abq, ab³q, ab⁵q, ab⁷q, ar, ab²r, ab⁴r, ab⁶r, abs, ab³s, ab⁵s, at, ab²t, ab⁴t, abu, ab³u, av, ab²v, abw, ax, az, aB}

Phi = 1 1 a b ab 1 a b ab 1 c b ab³ b² d b³ ab⁵ b⁴ e b⁵ f b⁶ g b⁷ h b⁸ i b⁹ j b¹⁰ k b¹¹ l b¹² m b¹³ n b¹⁴ o b¹⁵ p b¹⁶ q b¹⁷ r b¹⁸ s b¹⁹ t b²⁰ u b²¹ v b²² w b²³ x b²⁴ y b²⁵ z b²⁶ A b²⁵ B b²⁶ C b²⁵

Monoid Structure