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 Q₆₄(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 | a²=1, b²⁶=b²⁴, 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=b²⁴, b⁹m=ab²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab⁷m, gm=ab⁸m, hm=b²³, im=b²⁴, jm=b²⁵, km=b²⁴, lm=b²⁵, m²=b²⁴, b¹⁰n=ab²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁷n, gn=ab⁸n, hn=ab⁹n, in=b²⁵, jn=b²⁴, kn=b²⁵, ln=b²⁴, mn=b²⁵, n²=b²⁴, b¹⁰o=b⁹n, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁷o, go=ab⁸o, ho=ab⁹o, io=ab⁹n, jo=b²⁵, ko=b²⁴, lo=b²⁵, mo=b²⁴, no=b²⁵, o²=b²⁴, b⁹p=b⁸o, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁷p, gp=ab⁸p, hp=ab⁸o, ip=ab⁹o, jp=ab⁹n, kp=b²⁵, lp=b²⁴, mp=b²⁵, np=b²⁴, op=b²⁵, p²=b²⁴, b⁸q=b⁷p, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=ab⁷q, gq=ab⁷p, hq=ab⁸p, iq=ab⁸o, jq=ab⁹o, kq=ab⁹n, lq=b²⁵, mq=b²⁴, nq=b²⁵, oq=b²⁴, pq=b²⁵, q²=b²⁴, b⁷r=b⁶q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=ab⁶q, gr=ab⁷q, hr=ab⁷p, ir=ab⁸p, jr=ab⁸o, kr=ab⁹o, lr=ab⁹n, mr=b²⁵, nr=b²⁴, or=b²⁵, pr=b²⁴, qr=b²⁵, r²=b²⁴, b⁶s=b⁵r, cs=ab²s, ds=ab⁴s, es=ab⁵r, fs=ab⁶r, gs=ab⁶q, hs=ab⁷q, is=ab⁷p, js=ab⁸p, ks=ab⁸o, ls=ab⁹o, ms=ab⁹n, ns=b²⁵, os=b²⁴, ps=b²⁵, qs=b²⁴, rs=b²⁵, s²=b²⁴, b⁵t=b⁴s, ct=ab²t, dt=ab⁴t, et=ab⁵s, ft=ab⁵r, gt=ab⁶r, ht=ab⁶q, it=ab⁷q, jt=ab⁷p, kt=ab⁸p, lt=ab⁸o, mt=ab⁹o, nt=ab⁹n, ot=b²⁵, pt=b²⁴, qt=b²⁵, rt=b²⁴, st=b²⁵, t²=b²⁴, b⁴u=b³t, cu=ab²u, du=ab³t, eu=ab⁴s, fu=ab⁵s, gu=ab⁵r, hu=ab⁶r, iu=ab⁶q, ju=ab⁷q, ku=ab⁷p, lu=ab⁸p, mu=ab⁸o, nu=ab⁹o, ou=ab⁹n, pu=b²⁵, qu=b²⁴, ru=b²⁵, su=b²⁴, tu=b²⁵, u²=b²⁴, b³v=b²u, cv=ab²v, dv=ab³u, ev=ab⁴t, fv=ab⁴s, gv=ab⁵s, hv=ab⁵r, iv=ab⁶r, jv=ab⁶q, kv=ab⁷q, lv=ab⁷p, mv=ab⁸p, nv=ab⁸o, ov=ab⁹o, pv=ab⁹n, qv=b²⁵, rv=b²⁴, sv=b²⁵, tv=b²⁴, uv=b²⁵, v²=b²⁴, b²w=bv, cw=abv, dw=ab²u, ew=ab³t, fw=ab⁴t, gw=ab⁴s, hw=ab⁵s, iw=ab⁵r, jw=ab⁶r, kw=ab⁶q, lw=ab⁷q, mw=ab⁷p, nw=ab⁸p, ow=ab⁸o, pw=ab⁹o, qw=ab⁹n, rw=b²⁵, sw=b²⁴, tw=b²⁵, uw=b²⁴, vw=b²⁵, w²=b²⁴, bx=w, cx=abw, dx=ab²v, ex=ab³u, fx=ab³t, gx=ab⁴t, hx=ab⁴s, ix=ab⁵s, jx=ab⁵r, kx=ab⁶r, lx=ab⁶q, mx=ab⁷q, nx=ab⁷p, ox=ab⁸p, px=ab⁸o, qx=ab⁹o, rx=ab⁹n, sx=b²⁵, tx=b²⁴, ux=b²⁵, vx=b²⁴, wx=b²⁵, x²=b²⁴, by=x, cy=aw, dy=abv, ey=ab²u, fy=ab³u, gy=ab³t, hy=ab⁴t, iy=ab⁴s, jy=ab⁵s, ky=ab⁵r, ly=ab⁶r, my=ab⁶q, ny=ab⁷q, oy=ab⁷p, py=ab⁸p, qy=ab⁸o, ry=ab⁹o, sy=ab⁹n, ty=b²⁵, uy=b²⁴, vy=b²⁵, wy=b²⁴, xy=b²⁵, y²=b²⁴, bz=y, cz=ax, dz=abw, ez=ab²v, fz=ab²u, gz=ab³u, hz=ab³t, iz=ab⁴t, jz=ab⁴s, kz=ab⁵s, lz=ab⁵r, mz=ab⁶r, nz=ab⁶q, oz=ab⁷q, pz=ab⁷p, qz=ab⁸p, rz=ab⁸o, sz=ab⁹o, tz=ab⁹n, uz=b²⁵, vz=b²⁴, wz=b²⁵, xz=b²⁴, yz=b²⁵, z²=b²⁴, bA=z, cA=ay, dA=aw, eA=abv, fA=ab²v, gA=ab²u, hA=ab³u, iA=ab³t, jA=ab⁴t, kA=ab⁴s, lA=ab⁵s, mA=ab⁵r, nA=ab⁶r, oA=ab⁶q, pA=ab⁷q, qA=ab⁷p, rA=ab⁸p, sA=ab⁸o, tA=ab⁹o, uA=ab⁹n, vA=b²⁵, wA=b²⁴, xA=b²⁵, yA=b²⁴, zA=b²⁵, A²=b²⁴, bB=A, cB=az, dB=ax, eB=abw, fB=abv, gB=ab²v, hB=ab²u, iB=ab³u, jB=ab³t, kB=ab⁴t, lB=ab⁴s, mB=ab⁵s, nB=ab⁵r, oB=ab⁶r, pB=ab⁶q, qB=ab⁷q, rB=ab⁷p, sB=ab⁸p, tB=ab⁸o, uB=ab⁹o, vB=ab⁹n, wB=b²⁵, xB=b²⁴, yB=b²⁵, zB=b²⁴, AB=b²⁵, B²=b²⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, 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 b²⁴ A b²⁵ B b²⁴

Monoid Structure