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 Q₇₄(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, b³¹=b²⁹, 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=b²⁷, m²=b²⁸, b¹⁰n=ab²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁷n, gn=ab⁸n, hn=ab⁹n, in=b²⁵, jn=b²⁶, kn=b²⁷, ln=b²⁸, mn=b²⁹, n²=b³⁰, b¹¹o=ab²⁷, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁷o, go=ab⁸o, ho=ab⁹o, io=ab¹⁰o, jo=b²⁷, ko=b²⁸, lo=b²⁹, mo=b³⁰, no=b²⁹, o²=b³⁰, b¹²p=ab²⁹, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁷p, gp=ab⁸p, hp=ab⁹p, ip=ab¹⁰p, jp=ab¹¹p, kp=b²⁹, lp=b³⁰, mp=b²⁹, np=b³⁰, op=b²⁹, p²=b³⁰, b¹³q=ab²⁹, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=ab⁷q, gq=ab⁸q, hq=ab⁹q, iq=ab¹⁰q, jq=ab¹¹q, kq=ab¹²q, lq=b²⁹, mq=b³⁰, nq=b²⁹, oq=b³⁰, pq=b²⁹, q²=b³⁰, b¹²r=b¹¹q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=ab⁷r, gr=ab⁸r, hr=ab⁹r, ir=ab¹⁰r, jr=ab¹¹r, kr=ab¹¹q, lr=ab¹²q, mr=b²⁹, nr=b³⁰, or=b²⁹, pr=b³⁰, qr=b²⁹, r²=b³⁰, b¹¹s=b¹⁰r, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=ab⁷s, gs=ab⁸s, hs=ab⁹s, is=ab¹⁰s, js=ab¹⁰r, ks=ab¹¹r, ls=ab¹¹q, ms=ab¹²q, ns=b²⁹, os=b³⁰, ps=b²⁹, qs=b³⁰, rs=b²⁹, s²=b³⁰, b¹⁰t=b⁹s, ct=ab²t, dt=ab⁴t, et=ab⁶t, ft=ab⁷t, gt=ab⁸t, ht=ab⁹t, it=ab⁹s, jt=ab¹⁰s, kt=ab¹⁰r, lt=ab¹¹r, mt=ab¹¹q, nt=ab¹²q, ot=b²⁹, pt=b³⁰, qt=b²⁹, rt=b³⁰, st=b²⁹, t²=b³⁰, b⁹u=b⁸t, cu=ab²u, du=ab⁴u, eu=ab⁶u, fu=ab⁷u, gu=ab⁸u, hu=ab⁸t, iu=ab⁹t, ju=ab⁹s, ku=ab¹⁰s, lu=ab¹⁰r, mu=ab¹¹r, nu=ab¹¹q, ou=ab¹²q, pu=b²⁹, qu=b³⁰, ru=b²⁹, su=b³⁰, tu=b²⁹, u²=b³⁰, b⁸v=b⁷u, cv=ab²v, dv=ab⁴v, ev=ab⁶v, fv=ab⁷v, gv=ab⁷u, hv=ab⁸u, iv=ab⁸t, jv=ab⁹t, kv=ab⁹s, lv=ab¹⁰s, mv=ab¹⁰r, nv=ab¹¹r, ov=ab¹¹q, pv=ab¹²q, qv=b²⁹, rv=b³⁰, sv=b²⁹, tv=b³⁰, uv=b²⁹, v²=b³⁰, b⁷w=b⁶v, cw=ab²w, dw=ab⁴w, ew=ab⁶w, fw=ab⁶v, gw=ab⁷v, hw=ab⁷u, iw=ab⁸u, jw=ab⁸t, kw=ab⁹t, lw=ab⁹s, mw=ab¹⁰s, nw=ab¹⁰r, ow=ab¹¹r, pw=ab¹¹q, qw=ab¹²q, rw=b²⁹, sw=b³⁰, tw=b²⁹, uw=b³⁰, vw=b²⁹, w²=b³⁰, b⁶x=b⁵w, cx=ab²x, dx=ab⁴x, ex=ab⁵w, fx=ab⁶w, gx=ab⁶v, hx=ab⁷v, ix=ab⁷u, jx=ab⁸u, kx=ab⁸t, lx=ab⁹t, mx=ab⁹s, nx=ab¹⁰s, ox=ab¹⁰r, px=ab¹¹r, qx=ab¹¹q, rx=ab¹²q, sx=b²⁹, tx=b³⁰, ux=b²⁹, vx=b³⁰, wx=b²⁹, x²=b³⁰, b⁵y=b⁴x, cy=ab²y, dy=ab⁴y, ey=ab⁵x, fy=ab⁵w, gy=ab⁶w, hy=ab⁶v, iy=ab⁷v, jy=ab⁷u, ky=ab⁸u, ly=ab⁸t, my=ab⁹t, ny=ab⁹s, oy=ab¹⁰s, py=ab¹⁰r, qy=ab¹¹r, ry=ab¹¹q, sy=ab¹²q, ty=b²⁹, uy=b³⁰, vy=b²⁹, wy=b³⁰, xy=b²⁹, y²=b³⁰, b⁴z=b³y, cz=ab²z, dz=ab³y, ez=ab⁴x, fz=ab⁵x, gz=ab⁵w, hz=ab⁶w, iz=ab⁶v, jz=ab⁷v, kz=ab⁷u, lz=ab⁸u, mz=ab⁸t, nz=ab⁹t, oz=ab⁹s, pz=ab¹⁰s, qz=ab¹⁰r, rz=ab¹¹r, sz=ab¹¹q, tz=ab¹²q, uz=b²⁹, vz=b³⁰, wz=b²⁹, xz=b³⁰, yz=b²⁹, z²=b³⁰, b³A=b²z, cA=ab²A, dA=ab³z, eA=ab⁴y, fA=ab⁴x, gA=ab⁵x, hA=ab⁵w, iA=ab⁶w, jA=ab⁶v, kA=ab⁷v, lA=ab⁷u, mA=ab⁸u, nA=ab⁸t, oA=ab⁹t, pA=ab⁹s, qA=ab¹⁰s, rA=ab¹⁰r, sA=ab¹¹r, tA=ab¹¹q, uA=ab¹²q, vA=b²⁹, wA=b³⁰, xA=b²⁹, yA=b³⁰, zA=b²⁹, A²=b³⁰, b²B=bA, cB=abA, dB=ab²z, eB=ab³y, fB=ab⁴y, gB=ab⁴x, hB=ab⁵x, iB=ab⁵w, jB=ab⁶w, kB=ab⁶v, lB=ab⁷v, mB=ab⁷u, nB=ab⁸u, oB=ab⁸t, pB=ab⁹t, qB=ab⁹s, rB=ab¹⁰s, sB=ab¹⁰r, tB=ab¹¹r, uB=ab¹¹q, vB=ab¹²q, wB=b²⁹, xB=b³⁰, yB=b²⁹, zB=b³⁰, AB=b²⁹, B²=b³⁰, b⁵C=B, cC=ab²C, dC=ab⁴C, eC=abB, fC=abA, gC=ab²A, hC=ab²z, iC=ab³z, jC=ab³y, kC=ab⁴y, lC=ab⁴x, mC=ab⁵x, nC=ab⁵w, oC=ab⁶w, pC=ab⁶v, qC=ab⁷v, rC=ab⁷u, sC=ab⁸u, tC=ab⁸t, uC=ab⁹t, vC=ab⁹s, wC=ab¹⁰s, xC=ab¹⁰r, yC=ab¹¹r, zC=ab¹¹q, AC=ab¹²q, BC=b²⁹, C²=b³⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, b²⁸, b³⁰, 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, ab¹⁰p, abq, ab³q, ab⁵q, ab⁷q, ab⁹q, ab¹¹q, ar, ab²r, ab⁴r, ab⁶r, ab⁸r, ab¹⁰r, abs, ab³s, ab⁵s, ab⁷s, ab⁹s, at, ab²t, ab⁴t, ab⁶t, ab⁸t, abu, ab³u, ab⁵u, ab⁷u, av, ab²v, ab⁴v, ab⁶v, abw, ab³w, ab⁵w, ax, ab²x, ab⁴x, aby, ab³y, az, ab²z, abA, aB, abC, ab³C}

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 b²⁷ B b²⁸ b⁴C b²⁹ b³C b³⁰ b²C b²⁹ bC b³⁰ C b²⁹

Monoid Structure