Details Page for 0.3261

Complete Solution is Known:

MSV File: q-0.3261.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₆(0.3261):

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,D | a²=1, b³¹=b²⁹, bc=ab³, c²=b⁴, b²d=ab⁵, cd=b⁵, d²=b⁶, b³e=b⁷, ce=ab²e, de=ab⁷, e²=b⁸, b⁴f=ab⁹, cf=ab²f, df=ab³f, ef=ab⁹, f²=b¹⁰, b⁵g=b¹¹, cg=ab²g, dg=ab³g, eg=b⁴g, fg=ab¹¹, g²=b¹², b⁶h=ab¹³, ch=ab²h, dh=ab³h, eh=b⁴h, fh=ab⁵h, gh=ab¹³, h²=b¹⁴, b⁷i=b¹⁵, ci=ab²i, di=ab³i, ei=b⁴i, fi=ab⁵i, gi=b⁶i, hi=ab¹⁵, i²=b¹⁶, b⁸j=ab¹⁷, cj=ab²j, dj=ab³j, ej=b⁴j, fj=ab⁵j, gj=b⁶j, hj=ab⁷j, ij=ab¹⁷, j²=b¹⁸, b⁹k=b¹⁹, ck=ab²k, dk=ab³k, ek=b⁴k, fk=ab⁵k, gk=b⁶k, hk=ab⁷k, ik=b⁸k, jk=ab¹⁹, k²=b²⁰, b¹⁰l=ab²¹, cl=ab²l, dl=ab³l, el=b⁴l, fl=ab⁵l, gl=b⁶l, hl=ab⁷l, il=b⁸l, jl=ab⁹l, kl=ab²¹, l²=b²², b¹¹m=b²³, cm=ab²m, dm=ab³m, em=b⁴m, fm=ab⁵m, gm=b⁶m, hm=ab⁷m, im=b⁸m, jm=ab⁹m, km=b¹⁰m, lm=ab²³, m²=b²⁴, b¹²n=ab²⁵, cn=ab²n, dn=ab³n, en=b⁴n, fn=ab⁵n, gn=b⁶n, hn=ab⁷n, in=b⁸n, jn=ab⁹n, kn=b¹⁰n, ln=ab¹¹n, mn=ab²⁵, n²=b²⁶, b¹³o=b²⁷, co=ab²o, do=ab³o, eo=b⁴o, fo=ab⁵o, go=b⁶o, ho=ab⁷o, io=b⁸o, jo=ab⁹o, ko=b¹⁰o, lo=ab¹¹o, mo=b¹²o, no=ab²⁷, o²=b²⁸, b¹⁴p=ab²⁹, cp=ab²p, dp=ab³p, ep=b⁴p, fp=ab⁵p, gp=b⁶p, hp=ab⁷p, ip=b⁸p, jp=ab⁹p, kp=b¹⁰p, lp=ab¹¹p, mp=b¹²p, np=ab¹³p, op=ab²⁹, p²=b³⁰, b¹⁵q=b²⁹, cq=ab²q, dq=ab³q, eq=b⁴q, fq=ab⁵q, gq=b⁶q, hq=ab⁷q, iq=b⁸q, jq=ab⁹q, kq=b¹⁰q, lq=ab¹¹q, mq=b¹²q, nq=ab¹³q, oq=b¹⁴q, pq=ab²⁹, q²=b³⁰, b¹⁴r=ab¹³q, cr=ab²r, dr=ab³r, er=b⁴r, fr=ab⁵r, gr=b⁶r, hr=ab⁷r, ir=b⁸r, jr=ab⁹r, kr=b¹⁰r, lr=ab¹¹r, mr=b¹²r, nr=ab¹³r, or=ab¹³q, pr=b¹⁴q, qr=ab²⁹, r²=b³⁰, b¹³s=ab¹²r, cs=ab²s, ds=ab³s, es=b⁴s, fs=ab⁵s, gs=b⁶s, hs=ab⁷s, is=b⁸s, js=ab⁹s, ks=b¹⁰s, ls=ab¹¹s, ms=b¹²s, ns=b¹²r, os=ab¹³r, ps=ab¹³q, qs=b¹⁴q, rs=ab²⁹, s²=b³⁰, b¹²t=ab¹¹s, ct=ab²t, dt=ab³t, et=b⁴t, ft=ab⁵t, gt=b⁶t, ht=ab⁷t, it=b⁸t, jt=ab⁹t, kt=b¹⁰t, lt=ab¹¹t, mt=ab¹¹s, nt=b¹²s, ot=b¹²r, pt=ab¹³r, qt=ab¹³q, rt=b¹⁴q, st=ab²⁹, t²=b³⁰, b¹¹u=ab¹⁰t, cu=ab²u, du=ab³u, eu=b⁴u, fu=ab⁵u, gu=b⁶u, hu=ab⁷u, iu=b⁸u, ju=ab⁹u, ku=b¹⁰u, lu=b¹⁰t, mu=ab¹¹t, nu=ab¹¹s, ou=b¹²s, pu=b¹²r, qu=ab¹³r, ru=ab¹³q, su=b¹⁴q, tu=ab²⁹, u²=b³⁰, b¹⁰v=ab⁹u, cv=ab²v, dv=ab³v, ev=b⁴v, fv=ab⁵v, gv=b⁶v, hv=ab⁷v, iv=b⁸v, jv=ab⁹v, kv=ab⁹u, lv=b¹⁰u, mv=b¹⁰t, nv=ab¹¹t, ov=ab¹¹s, pv=b¹²s, qv=b¹²r, rv=ab¹³r, sv=ab¹³q, tv=b¹⁴q, uv=ab²⁹, v²=b³⁰, b⁹w=ab⁸v, cw=ab²w, dw=ab³w, ew=b⁴w, fw=ab⁵w, gw=b⁶w, hw=ab⁷w, iw=b⁸w, jw=b⁸v, kw=ab⁹v, lw=ab⁹u, mw=b¹⁰u, nw=b¹⁰t, ow=ab¹¹t, pw=ab¹¹s, qw=b¹²s, rw=b¹²r, sw=ab¹³r, tw=ab¹³q, uw=b¹⁴q, vw=ab²⁹, w²=b³⁰, b⁸x=ab⁷w, cx=ab²x, dx=ab³x, ex=b⁴x, fx=ab⁵x, gx=b⁶x, hx=ab⁷x, ix=ab⁷w, jx=b⁸w, kx=b⁸v, lx=ab⁹v, mx=ab⁹u, nx=b¹⁰u, ox=b¹⁰t, px=ab¹¹t, qx=ab¹¹s, rx=b¹²s, sx=b¹²r, tx=ab¹³r, ux=ab¹³q, vx=b¹⁴q, wx=ab²⁹, x²=b³⁰, b⁷y=ab⁶x, cy=ab²y, dy=ab³y, ey=b⁴y, fy=ab⁵y, gy=b⁶y, hy=b⁶x, iy=ab⁷x, jy=ab⁷w, ky=b⁸w, ly=b⁸v, my=ab⁹v, ny=ab⁹u, oy=b¹⁰u, py=b¹⁰t, qy=ab¹¹t, ry=ab¹¹s, sy=b¹²s, ty=b¹²r, uy=ab¹³r, vy=ab¹³q, wy=b¹⁴q, xy=ab²⁹, y²=b³⁰, b⁶z=ab⁵y, cz=ab²z, dz=ab³z, ez=b⁴z, fz=ab⁵z, gz=ab⁵y, hz=b⁶y, iz=b⁶x, jz=ab⁷x, kz=ab⁷w, lz=b⁸w, mz=b⁸v, nz=ab⁹v, oz=ab⁹u, pz=b¹⁰u, qz=b¹⁰t, rz=ab¹¹t, sz=ab¹¹s, tz=b¹²s, uz=b¹²r, vz=ab¹³r, wz=ab¹³q, xz=b¹⁴q, yz=ab²⁹, z²=b³⁰, b⁵A=ab⁴z, cA=ab²A, dA=ab³A, eA=b⁴A, fA=b⁴z, gA=ab⁵z, hA=ab⁵y, iA=b⁶y, jA=b⁶x, kA=ab⁷x, lA=ab⁷w, mA=b⁸w, nA=b⁸v, oA=ab⁹v, pA=ab⁹u, qA=b¹⁰u, rA=b¹⁰t, sA=ab¹¹t, tA=ab¹¹s, uA=b¹²s, vA=b¹²r, wA=ab¹³r, xA=ab¹³q, yA=b¹⁴q, zA=ab²⁹, A²=b³⁰, b⁴B=ab³A, cB=ab²B, dB=ab³B, eB=ab³A, fB=b⁴A, gB=b⁴z, hB=ab⁵z, iB=ab⁵y, jB=b⁶y, kB=b⁶x, lB=ab⁷x, mB=ab⁷w, nB=b⁸w, oB=b⁸v, pB=ab⁹v, qB=ab⁹u, rB=b¹⁰u, sB=b¹⁰t, tB=ab¹¹t, uB=ab¹¹s, vB=b¹²s, wB=b¹²r, xB=ab¹³r, yB=ab¹³q, zB=b¹⁴q, AB=ab²⁹, B²=b³⁰, b³C=ab²B, cC=ab²C, dC=b²B, eC=ab³B, fC=ab³A, gC=b⁴A, hC=b⁴z, iC=ab⁵z, jC=ab⁵y, kC=b⁶y, lC=b⁶x, mC=ab⁷x, nC=ab⁷w, oC=b⁸w, pC=b⁸v, qC=ab⁹v, rC=ab⁹u, sC=b¹⁰u, tC=b¹⁰t, uC=ab¹¹t, vC=ab¹¹s, wC=b¹²s, xC=b¹²r, yC=ab¹³r, zC=ab¹³q, AC=b¹⁴q, BC=ab²⁹, C²=b³⁰, b³D=bC, cD=ab²D, dD=abC, eD=b²C, fD=b²B, gD=ab³B, hD=ab³A, iD=b⁴A, jD=b⁴z, kD=ab⁵z, lD=ab⁵y, mD=b⁶y, nD=b⁶x, oD=ab⁷x, pD=ab⁷w, qD=b⁸w, rD=b⁸v, sD=ab⁹v, tD=ab⁹u, uD=b¹⁰u, vD=b¹⁰t, wD=ab¹¹t, xD=ab¹¹s, yD=b¹²s, zD=b¹²r, AD=ab¹³r, BD=ab¹³q, CD=b¹⁴q, D²=b³⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, b²⁸, b³⁰, d, abe, f, b²f, abg, ab³g, h, b²h, b⁴h, abi, ab³i, ab⁵i, j, b²j, b⁴j, b⁶j, abk, ab³k, ab⁵k, ab⁷k, l, b²l, b⁴l, b⁶l, b⁸l, abm, ab³m, ab⁵m, ab⁷m, ab⁹m, n, b²n, b⁴n, b⁶n, b⁸n, b¹⁰n, abo, ab³o, ab⁵o, ab⁷o, ab⁹o, ab¹¹o, p, b²p, b⁴p, b⁶p, b⁸p, b¹⁰p, b¹²p, abq, ab³q, ab⁵q, ab⁷q, ab⁹q, ab¹¹q, ab¹³q, r, b²r, b⁴r, b⁶r, b⁸r, b¹⁰r, b¹²r, abs, ab³s, ab⁵s, ab⁷s, ab⁹s, ab¹¹s, t, b²t, b⁴t, b⁶t, b⁸t, b¹⁰t, abu, ab³u, ab⁵u, ab⁷u, ab⁹u, v, b²v, b⁴v, b⁶v, b⁸v, abw, ab³w, ab⁵w, ab⁷w, x, b²x, b⁴x, b⁶x, aby, ab³y, ab⁵y, z, b²z, b⁴z, abA, ab³A, B, b²B, abC, abD}

Phi = 1 a 1 b ab a 1 b ab c ac b³ d bd e b⁵ f ab⁶ g b⁷ h ab⁸ i b⁹ j ab¹⁰ k b¹¹ l ab¹² m b¹³ n ab¹⁴ o b¹⁵ p ab¹⁶ q b¹⁷ r ab¹⁸ s b¹⁹ t ab²⁰ u b²¹ v ab²² w b²³ x ab²⁴ y b²⁵ z ab²⁶ A b²⁷ B ab²⁸ C b²⁹ abD ab³⁰ D b²⁹

Monoid Structure