Details Page for 0.5524

Complete Solution is Known:

MSV File: q-0.5524.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₉₄(0.5524):

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, b²⁸=b²⁶, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=b⁷, ce=ab⁷, de=ab⁹, e²=b¹⁰, b³f=ab⁹, cf=ab²f, df=b¹⁰, ef=ab¹¹, f²=b¹², b⁴g=b¹¹, cg=ab²g, dg=ab¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=ab¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁶, b⁶i=b¹⁵, ci=ab²i, di=ab⁴i, ei=b⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁸, b⁷j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁶j, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁹, j²=b²⁰, b⁸k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁶k, gk=b⁷k, hk=ab¹⁹, ik=b²⁰, jk=ab²¹, k²=b²², b⁹l=ab²¹, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=ab⁶l, gl=b⁷l, hl=ab⁸l, il=ab²¹, jl=b²², kl=ab²³, l²=b²⁴, b¹⁰m=b²³, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=ab⁶m, gm=b⁷m, hm=ab⁸m, im=b⁹m, jm=ab²³, km=b²⁴, lm=ab²⁵, m²=b²⁶, b¹¹n=ab²⁵, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=ab⁶n, gn=b⁷n, hn=ab⁸n, in=b⁹n, jn=ab¹⁰n, kn=ab²⁵, ln=b²⁶, mn=ab²⁷, n²=b²⁶, b¹²o=b²⁷, co=ab²o, do=ab⁴o, eo=b⁵o, fo=ab⁶o, go=b⁷o, ho=ab⁸o, io=b⁹o, jo=ab¹⁰o, ko=b¹¹o, lo=ab²⁷, mo=b²⁶, no=ab²⁷, o²=b²⁶, b¹²p=ab¹¹o, cp=ab²p, dp=ab⁴p, ep=b⁵p, fp=ab⁶p, gp=b⁷p, hp=ab⁸p, ip=b⁹p, jp=ab¹⁰p, kp=b¹¹p, lp=b¹¹o, mp=ab²⁷, np=b²⁶, op=ab²⁷, p²=b²⁶, b¹¹q=ab¹⁰p, cq=ab²q, dq=ab⁴q, eq=b⁵q, fq=ab⁶q, gq=b⁷q, hq=ab⁸q, iq=b⁹q, jq=ab¹⁰q, kq=ab¹⁰p, lq=b¹¹p, mq=b¹¹o, nq=ab²⁷, oq=b²⁶, pq=ab²⁷, q²=b²⁶, b¹⁰r=ab⁹q, cr=ab²r, dr=ab⁴r, er=b⁵r, fr=ab⁶r, gr=b⁷r, hr=ab⁸r, ir=b⁹r, jr=b⁹q, kr=ab¹⁰q, lr=ab¹⁰p, mr=b¹¹p, nr=b¹¹o, or=ab²⁷, pr=b²⁶, qr=ab²⁷, r²=b²⁶, b⁹s=ab⁸r, cs=ab²s, ds=ab⁴s, es=b⁵s, fs=ab⁶s, gs=b⁷s, hs=ab⁸s, is=ab⁸r, js=b⁹r, ks=b⁹q, ls=ab¹⁰q, ms=ab¹⁰p, ns=b¹¹p, os=b¹¹o, ps=ab²⁷, qs=b²⁶, rs=ab²⁷, s²=b²⁶, b⁸t=ab⁷s, ct=ab²t, dt=ab⁴t, et=b⁵t, ft=ab⁶t, gt=b⁷t, ht=b⁷s, it=ab⁸s, jt=ab⁸r, kt=b⁹r, lt=b⁹q, mt=ab¹⁰q, nt=ab¹⁰p, ot=b¹¹p, pt=b¹¹o, qt=ab²⁷, rt=b²⁶, st=ab²⁷, t²=b²⁶, b⁷u=ab⁶t, cu=ab²u, du=ab⁴u, eu=b⁵u, fu=ab⁶u, gu=ab⁶t, hu=b⁷t, iu=b⁷s, ju=ab⁸s, ku=ab⁸r, lu=b⁹r, mu=b⁹q, nu=ab¹⁰q, ou=ab¹⁰p, pu=b¹¹p, qu=b¹¹o, ru=ab²⁷, su=b²⁶, tu=ab²⁷, u²=b²⁶, b⁶v=ab⁵u, cv=ab²v, dv=ab⁴v, ev=b⁵v, fv=b⁵u, gv=ab⁶u, hv=ab⁶t, iv=b⁷t, jv=b⁷s, kv=ab⁸s, lv=ab⁸r, mv=b⁹r, nv=b⁹q, ov=ab¹⁰q, pv=ab¹⁰p, qv=b¹¹p, rv=b¹¹o, sv=ab²⁷, tv=b²⁶, uv=ab²⁷, v²=b²⁶, b⁵w=ab⁴v, cw=ab²w, dw=ab⁴w, ew=ab⁴v, fw=b⁵v, gw=b⁵u, hw=ab⁶u, iw=ab⁶t, jw=b⁷t, kw=b⁷s, lw=ab⁸s, mw=ab⁸r, nw=b⁹r, ow=b⁹q, pw=ab¹⁰q, qw=ab¹⁰p, rw=b¹¹p, sw=b¹¹o, tw=ab²⁷, uw=b²⁶, vw=ab²⁷, w²=b²⁶, b⁴x=ab³w, cx=ab²x, dx=b³w, ex=ab⁴w, fx=ab⁴v, gx=b⁵v, hx=b⁵u, ix=ab⁶u, jx=ab⁶t, kx=b⁷t, lx=b⁷s, mx=ab⁸s, nx=ab⁸r, ox=b⁹r, px=b⁹q, qx=ab¹⁰q, rx=ab¹⁰p, sx=b¹¹p, tx=b¹¹o, ux=ab²⁷, vx=b²⁶, wx=ab²⁷, x²=b²⁶, b³y=ab²x, cy=ab²y, dy=b³x, ey=b³w, fy=ab⁴w, gy=ab⁴v, hy=b⁵v, iy=b⁵u, jy=ab⁶u, ky=ab⁶t, ly=b⁷t, my=b⁷s, ny=ab⁸s, oy=ab⁸r, py=b⁹r, qy=b⁹q, ry=ab¹⁰q, sy=ab¹⁰p, ty=b¹¹p, uy=b¹¹o, vy=ab²⁷, wy=b²⁶, xy=ab²⁷, y²=b²⁶, b²z=aby, cz=by, dz=ab²x, ez=b³x, fz=b³w, gz=ab⁴w, hz=ab⁴v, iz=b⁵v, jz=b⁵u, kz=ab⁶u, lz=ab⁶t, mz=b⁷t, nz=b⁷s, oz=ab⁸s, pz=ab⁸r, qz=b⁹r, rz=b⁹q, sz=ab¹⁰q, tz=ab¹⁰p, uz=b¹¹p, vz=b¹¹o, wz=ab²⁷, xz=b²⁶, yz=ab²⁷, z²=b²⁶, bA=az, cA=bz, dA=ab²y, eA=ab²x, fA=b³x, gA=b³w, hA=ab⁴w, iA=ab⁴v, jA=b⁵v, kA=b⁵u, lA=ab⁶u, mA=ab⁶t, nA=b⁷t, oA=b⁷s, pA=ab⁸s, qA=ab⁸r, rA=b⁹r, sA=b⁹q, tA=ab¹⁰q, uA=ab¹⁰p, vA=b¹¹p, wA=b¹¹o, xA=ab²⁷, yA=b²⁶, zA=ab²⁷, A²=b²⁶, b²B=A, cB=aA, dB=bz, eB=by, fB=ab²y, gB=ab²x, hB=b³x, iB=b³w, jB=ab⁴w, kB=ab⁴v, lB=b⁵v, mB=b⁵u, nB=ab⁶u, oB=ab⁶t, pB=b⁷t, qB=b⁷s, rB=ab⁸s, sB=ab⁸r, tB=b⁹r, uB=b⁹q, vB=ab¹⁰q, wB=ab¹⁰p, xB=b¹¹p, yB=b¹¹o, zB=ab²⁷, AB=b²⁶, B²=b²⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, ae, bf, ag, ab²g, bh, b³h, ai, ab²i, ab⁴i, bj, b³j, b⁵j, ak, ab²k, ab⁴k, ab⁶k, bl, b³l, b⁵l, b⁷l, am, ab²m, ab⁴m, ab⁶m, ab⁸m, bn, b³n, b⁵n, b⁷n, b⁹n, ao, ab²o, ab⁴o, ab⁶o, ab⁸o, ab¹⁰o, bp, b³p, b⁵p, b⁷p, b⁹p, b¹¹p, aq, ab²q, ab⁴q, ab⁶q, ab⁸q, ab¹⁰q, br, b³r, b⁵r, b⁷r, b⁹r, as, ab²s, ab⁴s, ab⁶s, ab⁸s, bt, b³t, b⁵t, b⁷t, au, ab²u, ab⁴u, ab⁶u, bv, b³v, b⁵v, aw, ab²w, ab⁴w, bx, b³x, ay, ab²y, bz, aA, aB}

Phi = 1 a a a b b b a a c b b b³ c c d b³ b³ b⁵ d d ab⁶ e e b⁷ f f ab⁸ g g b⁹ h h ab¹⁰ i i b¹¹ j j ab¹² k k b¹³ l l ab¹⁴ m m b¹⁵ n n ab¹⁶ o o b¹⁷ p p ab¹⁸ q q b¹⁹ r r ab²⁰ s s b²¹ t t ab²² u u b²³ v v ab²⁴ w w b²⁵ x x ab²⁶ y y b²⁷ z z ab²⁶ A A b²⁷ abB abB ab²⁶ B B b²⁷

Monoid Structure