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 Q₆₂(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 | a²=1, b²⁵=b²³, 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=b²³, l²=b²⁴, b⁹m=ab²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab⁷m, gm=ab⁸m, hm=b²³, im=b²⁴, jm=b²³, km=b²⁴, lm=b²³, m²=b²⁴, b¹⁰n=ab²³, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁷n, gn=ab⁸n, hn=ab⁹n, in=b²³, jn=b²⁴, kn=b²³, ln=b²⁴, mn=b²³, n²=b²⁴, b⁹o=b⁸n, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁷o, go=ab⁸o, ho=ab⁸n, io=ab⁹n, jo=b²³, ko=b²⁴, lo=b²³, mo=b²⁴, no=b²³, o²=b²⁴, b⁸p=b⁷o, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁷p, gp=ab⁷o, hp=ab⁸o, ip=ab⁸n, jp=ab⁹n, kp=b²³, lp=b²⁴, mp=b²³, np=b²⁴, op=b²³, p²=b²⁴, b⁷q=b⁶p, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=ab⁶p, gq=ab⁷p, hq=ab⁷o, iq=ab⁸o, jq=ab⁸n, kq=ab⁹n, lq=b²³, mq=b²⁴, nq=b²³, oq=b²⁴, pq=b²³, q²=b²⁴, b⁶r=b⁵q, cr=ab²r, dr=ab⁴r, er=ab⁵q, fr=ab⁶q, gr=ab⁶p, hr=ab⁷p, ir=ab⁷o, jr=ab⁸o, kr=ab⁸n, lr=ab⁹n, mr=b²³, nr=b²⁴, or=b²³, pr=b²⁴, qr=b²³, r²=b²⁴, b⁵s=b⁴r, cs=ab²s, ds=ab⁴s, es=ab⁵r, fs=ab⁵q, gs=ab⁶q, hs=ab⁶p, is=ab⁷p, js=ab⁷o, ks=ab⁸o, ls=ab⁸n, ms=ab⁹n, ns=b²³, os=b²⁴, ps=b²³, qs=b²⁴, rs=b²³, s²=b²⁴, b⁴t=b³s, ct=ab²t, dt=ab³s, et=ab⁴r, ft=ab⁵r, gt=ab⁵q, ht=ab⁶q, it=ab⁶p, jt=ab⁷p, kt=ab⁷o, lt=ab⁸o, mt=ab⁸n, nt=ab⁹n, ot=b²³, pt=b²⁴, qt=b²³, rt=b²⁴, st=b²³, t²=b²⁴, b³u=b²t, cu=ab²u, du=ab³t, eu=ab⁴s, fu=ab⁴r, gu=ab⁵r, hu=ab⁵q, iu=ab⁶q, ju=ab⁶p, ku=ab⁷p, lu=ab⁷o, mu=ab⁸o, nu=ab⁸n, ou=ab⁹n, pu=b²³, qu=b²⁴, ru=b²³, su=b²⁴, tu=b²³, u²=b²⁴, b²v=bu, cv=abu, dv=ab²t, ev=ab³s, fv=ab⁴s, gv=ab⁴r, hv=ab⁵r, iv=ab⁵q, jv=ab⁶q, kv=ab⁶p, lv=ab⁷p, mv=ab⁷o, nv=ab⁸o, ov=ab⁸n, pv=ab⁹n, qv=b²³, rv=b²⁴, sv=b²³, tv=b²⁴, uv=b²³, v²=b²⁴, bw=v, cw=abv, dw=ab²u, ew=ab³t, fw=ab³s, gw=ab⁴s, hw=ab⁴r, iw=ab⁵r, jw=ab⁵q, kw=ab⁶q, lw=ab⁶p, mw=ab⁷p, nw=ab⁷o, ow=ab⁸o, pw=ab⁸n, qw=ab⁹n, rw=b²³, sw=b²⁴, tw=b²³, uw=b²⁴, vw=b²³, w²=b²⁴, bx=w, cx=av, dx=abu, ex=ab²t, fx=ab³t, gx=ab³s, hx=ab⁴s, ix=ab⁴r, jx=ab⁵r, kx=ab⁵q, lx=ab⁶q, mx=ab⁶p, nx=ab⁷p, ox=ab⁷o, px=ab⁸o, qx=ab⁸n, rx=ab⁹n, sx=b²³, tx=b²⁴, ux=b²³, vx=b²⁴, wx=b²³, x²=b²⁴, by=x, cy=aw, dy=abv, ey=ab²u, fy=ab²t, gy=ab³t, hy=ab³s, iy=ab⁴s, jy=ab⁴r, ky=ab⁵r, ly=ab⁵q, my=ab⁶q, ny=ab⁶p, oy=ab⁷p, py=ab⁷o, qy=ab⁸o, ry=ab⁸n, sy=ab⁹n, ty=b²³, uy=b²⁴, vy=b²³, wy=b²⁴, xy=b²³, y²=b²⁴, bz=y, cz=ax, dz=av, ez=abu, fz=ab²u, gz=ab²t, hz=ab³t, iz=ab³s, jz=ab⁴s, kz=ab⁴r, lz=ab⁵r, mz=ab⁵q, nz=ab⁶q, oz=ab⁶p, pz=ab⁷p, qz=ab⁷o, rz=ab⁸o, sz=ab⁸n, tz=ab⁹n, uz=b²³, vz=b²⁴, wz=b²³, xz=b²⁴, yz=b²³, z²=b²⁴, bA=z, cA=ay, dA=aw, eA=abv, fA=abu, gA=ab²u, hA=ab²t, iA=ab³t, jA=ab³s, kA=ab⁴s, lA=ab⁴r, mA=ab⁵r, nA=ab⁵q, oA=ab⁶q, pA=ab⁶p, qA=ab⁷p, rA=ab⁷o, sA=ab⁸o, tA=ab⁸n, uA=ab⁹n, vA=b²³, wA=b²⁴, xA=b²³, yA=b²⁴, zA=b²³, A²=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, ap, ab²p, ab⁴p, ab⁶p, abq, ab³q, ab⁵q, ar, ab²r, ab⁴r, abs, ab³s, at, ab²t, abu, av, ax, az}

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 b²³ z b²⁴ A b²³

Monoid Structure