Details Page for 0.7251

Complete Solution is Known:

MSV File: q-0.7251.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₆(0.7251):

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, b²⁹=b²⁷, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=ab⁷, ce=b⁷, de=b⁹, e²=b¹⁰, b³f=b⁹, cf=ab²f, df=ab¹⁰, ef=ab¹¹, f²=b¹², b⁴g=ab¹¹, cg=ab²g, dg=b¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=b¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁶, b⁶i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=ab⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁸, b⁷j=b¹⁷, cj=ab²j, dj=ab⁴j, ej=ab⁵j, fj=b⁶j, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁹, j²=b²⁰, b⁸k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁵k, fk=b⁶k, gk=ab⁷k, hk=ab¹⁹, ik=b²⁰, jk=ab²¹, k²=b²², b⁹l=b²¹, cl=ab²l, dl=ab⁴l, el=ab⁵l, fl=b⁶l, gl=ab⁷l, hl=b⁸l, il=ab²¹, jl=b²², kl=ab²³, l²=b²⁴, b¹⁰m=ab²³, cm=ab²m, dm=ab⁴m, em=ab⁵m, fm=b⁶m, gm=ab⁷m, hm=b⁸m, im=ab⁹m, jm=ab²³, km=b²⁴, lm=ab²⁵, m²=b²⁶, b¹¹n=b²⁵, cn=ab²n, dn=ab⁴n, en=ab⁵n, fn=b⁶n, gn=ab⁷n, hn=b⁸n, in=ab⁹n, jn=b¹⁰n, kn=ab²⁵, ln=b²⁶, mn=ab²⁷, n²=b²⁸, b¹²o=ab²⁷, co=ab²o, do=ab⁴o, eo=ab⁵o, fo=b⁶o, go=ab⁷o, ho=b⁸o, io=ab⁹o, jo=b¹⁰o, ko=ab¹¹o, lo=ab²⁷, mo=b²⁸, no=ab²⁷, o²=b²⁸, b¹³p=b²⁷, cp=ab²p, dp=ab⁴p, ep=ab⁵p, fp=b⁶p, gp=ab⁷p, hp=b⁸p, ip=ab⁹p, jp=b¹⁰p, kp=ab¹¹p, lp=b¹²p, mp=ab²⁷, np=b²⁸, op=ab²⁷, p²=b²⁸, b¹²q=ab¹¹p, cq=ab²q, dq=ab⁴q, eq=ab⁵q, fq=b⁶q, gq=ab⁷q, hq=b⁸q, iq=ab⁹q, jq=b¹⁰q, kq=ab¹¹q, lq=ab¹¹p, mq=b¹²p, nq=ab²⁷, oq=b²⁸, pq=ab²⁷, q²=b²⁸, b¹¹r=ab¹⁰q, cr=ab²r, dr=ab⁴r, er=ab⁵r, fr=b⁶r, gr=ab⁷r, hr=b⁸r, ir=ab⁹r, jr=b¹⁰r, kr=b¹⁰q, lr=ab¹¹q, mr=ab¹¹p, nr=b¹²p, or=ab²⁷, pr=b²⁸, qr=ab²⁷, r²=b²⁸, b¹⁰s=ab⁹r, cs=ab²s, ds=ab⁴s, es=ab⁵s, fs=b⁶s, gs=ab⁷s, hs=b⁸s, is=ab⁹s, js=ab⁹r, ks=b¹⁰r, ls=b¹⁰q, ms=ab¹¹q, ns=ab¹¹p, os=b¹²p, ps=ab²⁷, qs=b²⁸, rs=ab²⁷, s²=b²⁸, b⁹t=ab⁸s, ct=ab²t, dt=ab⁴t, et=ab⁵t, ft=b⁶t, gt=ab⁷t, ht=b⁸t, it=b⁸s, jt=ab⁹s, kt=ab⁹r, lt=b¹⁰r, mt=b¹⁰q, nt=ab¹¹q, ot=ab¹¹p, pt=b¹²p, qt=ab²⁷, rt=b²⁸, st=ab²⁷, t²=b²⁸, b⁸u=ab⁷t, cu=ab²u, du=ab⁴u, eu=ab⁵u, fu=b⁶u, gu=ab⁷u, hu=ab⁷t, iu=b⁸t, ju=b⁸s, ku=ab⁹s, lu=ab⁹r, mu=b¹⁰r, nu=b¹⁰q, ou=ab¹¹q, pu=ab¹¹p, qu=b¹²p, ru=ab²⁷, su=b²⁸, tu=ab²⁷, u²=b²⁸, b⁷v=ab⁶u, cv=ab²v, dv=ab⁴v, ev=ab⁵v, fv=b⁶v, gv=b⁶u, hv=ab⁷u, iv=ab⁷t, jv=b⁸t, kv=b⁸s, lv=ab⁹s, mv=ab⁹r, nv=b¹⁰r, ov=b¹⁰q, pv=ab¹¹q, qv=ab¹¹p, rv=b¹²p, sv=ab²⁷, tv=b²⁸, uv=ab²⁷, v²=b²⁸, b⁶w=ab⁵v, cw=ab²w, dw=ab⁴w, ew=ab⁵w, fw=ab⁵v, gw=b⁶v, hw=b⁶u, iw=ab⁷u, jw=ab⁷t, kw=b⁸t, lw=b⁸s, mw=ab⁹s, nw=ab⁹r, ow=b¹⁰r, pw=b¹⁰q, qw=ab¹¹q, rw=ab¹¹p, sw=b¹²p, tw=ab²⁷, uw=b²⁸, vw=ab²⁷, w²=b²⁸, b⁵x=ab⁴w, cx=ab²x, dx=ab⁴x, ex=b⁴w, fx=ab⁵w, gx=ab⁵v, hx=b⁶v, ix=b⁶u, jx=ab⁷u, kx=ab⁷t, lx=b⁸t, mx=b⁸s, nx=ab⁹s, ox=ab⁹r, px=b¹⁰r, qx=b¹⁰q, rx=ab¹¹q, sx=ab¹¹p, tx=b¹²p, ux=ab²⁷, vx=b²⁸, wx=ab²⁷, x²=b²⁸, b⁴y=ab³x, cy=ab²y, dy=b³x, ey=b⁴x, fy=b⁴w, gy=ab⁵w, hy=ab⁵v, iy=b⁶v, jy=b⁶u, ky=ab⁷u, ly=ab⁷t, my=b⁸t, ny=b⁸s, oy=ab⁹s, py=ab⁹r, qy=b¹⁰r, ry=b¹⁰q, sy=ab¹¹q, ty=ab¹¹p, uy=b¹²p, vy=ab²⁷, wy=b²⁸, xy=ab²⁷, y²=b²⁸, b³z=ab²y, cz=ab²z, dz=b³y, ez=ab³x, fz=b⁴x, gz=b⁴w, hz=ab⁵w, iz=ab⁵v, jz=b⁶v, kz=b⁶u, lz=ab⁷u, mz=ab⁷t, nz=b⁸t, oz=b⁸s, pz=ab⁹s, qz=ab⁹r, rz=b¹⁰r, sz=b¹⁰q, tz=ab¹¹q, uz=ab¹¹p, vz=b¹²p, wz=ab²⁷, xz=b²⁸, yz=ab²⁷, z²=b²⁸, b²A=abz, cA=bz, dA=ab²y, eA=ab³y, fA=ab³x, gA=b⁴x, hA=b⁴w, iA=ab⁵w, jA=ab⁵v, kA=b⁶v, lA=b⁶u, mA=ab⁷u, nA=ab⁷t, oA=b⁸t, pA=b⁸s, qA=ab⁹s, rA=ab⁹r, sA=b¹⁰r, tA=b¹⁰q, uA=ab¹¹q, vA=ab¹¹p, wA=b¹²p, xA=ab²⁷, yA=b²⁸, zA=ab²⁷, A²=b²⁸, bB=aA, cB=bA, dB=ab²z, eB=b²y, fB=ab³y, gB=ab³x, hB=b⁴x, iB=b⁴w, jB=ab⁵w, kB=ab⁵v, lB=b⁶v, mB=b⁶u, nB=ab⁷u, oB=ab⁷t, pB=b⁸t, qB=b⁸s, rB=ab⁹s, sB=ab⁹r, tB=b¹⁰r, uB=b¹⁰q, vB=ab¹¹q, wB=ab¹¹p, xB=b¹²p, yB=ab²⁷, zB=b²⁸, AB=ab²⁷, B²=b²⁸, bC=aB, cC=aA, dC=bz, eC=b²z, fC=b²y, gC=ab³y, hC=ab³x, iC=b⁴x, jC=b⁴w, kC=ab⁵w, lC=ab⁵v, mC=b⁶v, nC=b⁶u, oC=ab⁷u, pC=ab⁷t, qC=b⁸t, rC=b⁸s, sC=ab⁹s, tC=ab⁹r, uC=b¹⁰r, vC=b¹⁰q, wC=ab¹¹q, xC=ab¹¹p, yC=b¹²p, zC=ab²⁷, AC=b²⁸, BC=ab²⁷, C²=b²⁸, bD=aC, cD=aB, dD=bA, eD=abz, fD=b²z, gD=b²y, hD=ab³y, iD=ab³x, jD=b⁴x, kD=b⁴w, lD=ab⁵w, mD=ab⁵v, nD=b⁶v, oD=b⁶u, pD=ab⁷u, qD=ab⁷t, rD=b⁸t, sD=b⁸s, tD=ab⁹s, uD=ab⁹r, vD=b¹⁰r, wD=b¹⁰q, xD=ab¹¹q, yD=ab¹¹p, zD=b¹²p, AD=ab²⁷, BD=b²⁸, CD=ab²⁷, D²=b²⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, b²⁸, e, abf, g, b²g, abh, ab³h, i, b²i, b⁴i, abj, ab³j, ab⁵j, k, b²k, b⁴k, b⁶k, abl, ab³l, ab⁵l, ab⁷l, m, b²m, b⁴m, b⁶m, b⁸m, abn, ab³n, ab⁵n, ab⁷n, ab⁹n, o, b²o, b⁴o, b⁶o, b⁸o, b¹⁰o, abp, ab³p, ab⁵p, ab⁷p, ab⁹p, ab¹¹p, q, b²q, b⁴q, b⁶q, b⁸q, b¹⁰q, abr, ab³r, ab⁵r, ab⁷r, ab⁹r, s, b²s, b⁴s, b⁶s, b⁸s, abt, ab³t, ab⁵t, ab⁷t, u, b²u, b⁴u, b⁶u, abv, ab³v, ab⁵v, w, b²w, b⁴w, abx, ab³x, y, b²y, abz, A, C}

Phi = 1 a 1 b ab a 1 b ab c ac b³ ab³ d ad b⁵ e ab⁶ f b⁷ g ab⁸ h b⁹ i ab¹⁰ j b¹¹ k ab¹² l b¹³ m ab¹⁴ n b¹⁵ o ab¹⁶ p b¹⁷ q ab¹⁸ r b¹⁹ s ab²⁰ t b²¹ u ab²² v b²³ w ab²⁴ x b²⁵ y ab²⁶ z b²⁷ A ab²⁸ B b²⁷ C ab²⁸ D b²⁷

Monoid Structure