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 Q₆₄(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 | a²=1, b²⁸=b²⁶, 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=b²⁶, b¹²o=ab²⁷, co=ab²o, do=ab⁴o, eo=ab⁵o, fo=b⁶o, go=ab⁷o, ho=b⁸o, io=ab⁹o, jo=b¹⁰o, ko=ab¹¹o, lo=ab²⁷, mo=b²⁶, no=ab²⁷, o²=b²⁶, b¹²p=ab¹¹o, cp=ab²p, dp=ab⁴p, ep=ab⁵p, fp=b⁶p, gp=ab⁷p, hp=b⁸p, ip=ab⁹p, jp=b¹⁰p, kp=ab¹¹p, lp=ab¹¹o, mp=ab²⁷, np=b²⁶, op=ab²⁷, p²=b²⁶, b¹¹q=ab¹⁰p, cq=ab²q, dq=ab⁴q, eq=ab⁵q, fq=b⁶q, gq=ab⁷q, hq=b⁸q, iq=ab⁹q, jq=b¹⁰q, kq=b¹⁰p, lq=ab¹¹p, mq=ab¹¹o, nq=ab²⁷, oq=b²⁶, pq=ab²⁷, q²=b²⁶, b¹⁰r=ab⁹q, cr=ab²r, dr=ab⁴r, er=ab⁵r, fr=b⁶r, gr=ab⁷r, hr=b⁸r, ir=ab⁹r, jr=ab⁹q, kr=b¹⁰q, lr=b¹⁰p, mr=ab¹¹p, nr=ab¹¹o, or=ab²⁷, pr=b²⁶, qr=ab²⁷, r²=b²⁶, b⁹s=ab⁸r, cs=ab²s, ds=ab⁴s, es=ab⁵s, fs=b⁶s, gs=ab⁷s, hs=b⁸s, is=b⁸r, js=ab⁹r, ks=ab⁹q, ls=b¹⁰q, ms=b¹⁰p, ns=ab¹¹p, os=ab¹¹o, ps=ab²⁷, qs=b²⁶, rs=ab²⁷, s²=b²⁶, b⁸t=ab⁷s, ct=ab²t, dt=ab⁴t, et=ab⁵t, ft=b⁶t, gt=ab⁷t, ht=ab⁷s, it=b⁸s, jt=b⁸r, kt=ab⁹r, lt=ab⁹q, mt=b¹⁰q, nt=b¹⁰p, ot=ab¹¹p, pt=ab¹¹o, qt=ab²⁷, rt=b²⁶, st=ab²⁷, t²=b²⁶, b⁷u=ab⁶t, cu=ab²u, du=ab⁴u, eu=ab⁵u, fu=b⁶u, gu=b⁶t, hu=ab⁷t, iu=ab⁷s, ju=b⁸s, ku=b⁸r, lu=ab⁹r, mu=ab⁹q, nu=b¹⁰q, ou=b¹⁰p, pu=ab¹¹p, qu=ab¹¹o, ru=ab²⁷, su=b²⁶, tu=ab²⁷, u²=b²⁶, b⁶v=ab⁵u, cv=ab²v, dv=ab⁴v, ev=ab⁵v, fv=ab⁵u, gv=b⁶u, hv=b⁶t, iv=ab⁷t, jv=ab⁷s, kv=b⁸s, lv=b⁸r, mv=ab⁹r, nv=ab⁹q, ov=b¹⁰q, pv=b¹⁰p, qv=ab¹¹p, rv=ab¹¹o, sv=ab²⁷, tv=b²⁶, uv=ab²⁷, v²=b²⁶, b⁵w=ab⁴v, cw=ab²w, dw=ab⁴w, ew=b⁴v, fw=ab⁵v, gw=ab⁵u, hw=b⁶u, iw=b⁶t, jw=ab⁷t, kw=ab⁷s, lw=b⁸s, mw=b⁸r, nw=ab⁹r, ow=ab⁹q, pw=b¹⁰q, qw=b¹⁰p, rw=ab¹¹p, sw=ab¹¹o, tw=ab²⁷, uw=b²⁶, vw=ab²⁷, w²=b²⁶, b⁴x=ab³w, cx=ab²x, dx=b³w, ex=b⁴w, fx=b⁴v, gx=ab⁵v, hx=ab⁵u, ix=b⁶u, jx=b⁶t, kx=ab⁷t, lx=ab⁷s, mx=b⁸s, nx=b⁸r, ox=ab⁹r, px=ab⁹q, qx=b¹⁰q, rx=b¹⁰p, sx=ab¹¹p, tx=ab¹¹o, ux=ab²⁷, vx=b²⁶, wx=ab²⁷, x²=b²⁶, b³y=ab²x, cy=ab²y, dy=b³x, ey=ab³w, fy=b⁴w, gy=b⁴v, hy=ab⁵v, iy=ab⁵u, jy=b⁶u, ky=b⁶t, ly=ab⁷t, my=ab⁷s, ny=b⁸s, oy=b⁸r, py=ab⁹r, qy=ab⁹q, ry=b¹⁰q, sy=b¹⁰p, ty=ab¹¹p, uy=ab¹¹o, vy=ab²⁷, wy=b²⁶, xy=ab²⁷, y²=b²⁶, b²z=aby, cz=by, dz=ab²x, ez=ab³x, fz=ab³w, gz=b⁴w, hz=b⁴v, iz=ab⁵v, jz=ab⁵u, kz=b⁶u, lz=b⁶t, mz=ab⁷t, nz=ab⁷s, oz=b⁸s, pz=b⁸r, qz=ab⁹r, rz=ab⁹q, sz=b¹⁰q, tz=b¹⁰p, uz=ab¹¹p, vz=ab¹¹o, wz=ab²⁷, xz=b²⁶, yz=ab²⁷, z²=b²⁶, bA=az, cA=bz, dA=ab²y, eA=b²x, fA=ab³x, gA=ab³w, hA=b⁴w, iA=b⁴v, jA=ab⁵v, kA=ab⁵u, lA=b⁶u, mA=b⁶t, nA=ab⁷t, oA=ab⁷s, pA=b⁸s, qA=b⁸r, rA=ab⁹r, sA=ab⁹q, tA=b¹⁰q, uA=b¹⁰p, vA=ab¹¹p, wA=ab¹¹o, xA=ab²⁷, yA=b²⁶, zA=ab²⁷, A²=b²⁶, bB=aA, cB=az, dB=by, eB=b²y, fB=b²x, gB=ab³x, hB=ab³w, iB=b⁴w, jB=b⁴v, kB=ab⁵v, lB=ab⁵u, mB=b⁶u, nB=b⁶t, oB=ab⁷t, pB=ab⁷s, qB=b⁸s, rB=b⁸r, sB=ab⁹r, tB=ab⁹q, uB=b¹⁰q, vB=b¹⁰p, wB=ab¹¹p, xB=ab¹¹o, yB=ab²⁷, zB=b²⁶, AB=ab²⁷, B²=b²⁶, bC=aB, cC=aA, dC=bz, eC=aby, fC=b²y, gC=b²x, hC=ab³x, iC=ab³w, jC=b⁴w, kC=b⁴v, lC=ab⁵v, mC=ab⁵u, nC=b⁶u, oC=b⁶t, pC=ab⁷t, qC=ab⁷s, rC=b⁸s, sC=b⁸r, tC=ab⁹r, uC=ab⁹q, vC=b¹⁰q, wC=b¹⁰p, xC=ab¹¹p, yC=ab¹¹o, zC=ab²⁷, AC=b²⁶, BC=ab²⁷, C²=b²⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, 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 ab²⁶ B b²⁷ C ab²⁶

Monoid Structure