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 Q₅₈(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 | a²=1, b²⁷=b²⁵, 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=b²⁵, co=ab²o, do=ab³o, eo=b⁴o, fo=ab⁵o, go=b⁶o, ho=ab⁷o, io=b⁸o, jo=ab⁹o, ko=b¹⁰o, lo=ab¹¹o, mo=b¹²o, no=ab²⁵, o²=b²⁶, b¹²p=ab¹¹o, cp=ab²p, dp=ab³p, ep=b⁴p, fp=ab⁵p, gp=b⁶p, hp=ab⁷p, ip=b⁸p, jp=ab⁹p, kp=b¹⁰p, lp=ab¹¹p, mp=ab¹¹o, np=b¹²o, op=ab²⁵, p²=b²⁶, b¹¹q=ab¹⁰p, cq=ab²q, dq=ab³q, eq=b⁴q, fq=ab⁵q, gq=b⁶q, hq=ab⁷q, iq=b⁸q, jq=ab⁹q, kq=b¹⁰q, lq=b¹⁰p, mq=ab¹¹p, nq=ab¹¹o, oq=b¹²o, pq=ab²⁵, q²=b²⁶, b¹⁰r=ab⁹q, cr=ab²r, dr=ab³r, er=b⁴r, fr=ab⁵r, gr=b⁶r, hr=ab⁷r, ir=b⁸r, jr=ab⁹r, kr=ab⁹q, lr=b¹⁰q, mr=b¹⁰p, nr=ab¹¹p, or=ab¹¹o, pr=b¹²o, qr=ab²⁵, r²=b²⁶, b⁹s=ab⁸r, cs=ab²s, ds=ab³s, es=b⁴s, fs=ab⁵s, gs=b⁶s, hs=ab⁷s, is=b⁸s, js=b⁸r, ks=ab⁹r, ls=ab⁹q, ms=b¹⁰q, ns=b¹⁰p, os=ab¹¹p, ps=ab¹¹o, qs=b¹²o, rs=ab²⁵, s²=b²⁶, b⁸t=ab⁷s, ct=ab²t, dt=ab³t, et=b⁴t, ft=ab⁵t, gt=b⁶t, ht=ab⁷t, it=ab⁷s, jt=b⁸s, kt=b⁸r, lt=ab⁹r, mt=ab⁹q, nt=b¹⁰q, ot=b¹⁰p, pt=ab¹¹p, qt=ab¹¹o, rt=b¹²o, st=ab²⁵, t²=b²⁶, b⁷u=ab⁶t, cu=ab²u, du=ab³u, eu=b⁴u, fu=ab⁵u, gu=b⁶u, hu=b⁶t, iu=ab⁷t, ju=ab⁷s, ku=b⁸s, lu=b⁸r, mu=ab⁹r, nu=ab⁹q, ou=b¹⁰q, pu=b¹⁰p, qu=ab¹¹p, ru=ab¹¹o, su=b¹²o, tu=ab²⁵, u²=b²⁶, b⁶v=ab⁵u, cv=ab²v, dv=ab³v, ev=b⁴v, fv=ab⁵v, gv=ab⁵u, hv=b⁶u, iv=b⁶t, jv=ab⁷t, kv=ab⁷s, lv=b⁸s, mv=b⁸r, nv=ab⁹r, ov=ab⁹q, pv=b¹⁰q, qv=b¹⁰p, rv=ab¹¹p, sv=ab¹¹o, tv=b¹²o, uv=ab²⁵, v²=b²⁶, b⁵w=ab⁴v, cw=ab²w, dw=ab³w, ew=b⁴w, fw=b⁴v, gw=ab⁵v, hw=ab⁵u, iw=b⁶u, jw=b⁶t, kw=ab⁷t, lw=ab⁷s, mw=b⁸s, nw=b⁸r, ow=ab⁹r, pw=ab⁹q, qw=b¹⁰q, rw=b¹⁰p, sw=ab¹¹p, tw=ab¹¹o, uw=b¹²o, vw=ab²⁵, w²=b²⁶, b⁴x=ab³w, cx=ab²x, dx=ab³x, ex=ab³w, fx=b⁴w, gx=b⁴v, hx=ab⁵v, ix=ab⁵u, jx=b⁶u, kx=b⁶t, lx=ab⁷t, mx=ab⁷s, nx=b⁸s, ox=b⁸r, px=ab⁹r, qx=ab⁹q, rx=b¹⁰q, sx=b¹⁰p, tx=ab¹¹p, ux=ab¹¹o, vx=b¹²o, wx=ab²⁵, x²=b²⁶, b³y=ab²x, cy=ab²y, dy=b²x, ey=ab³x, fy=ab³w, gy=b⁴w, hy=b⁴v, iy=ab⁵v, jy=ab⁵u, ky=b⁶u, ly=b⁶t, my=ab⁷t, ny=ab⁷s, oy=b⁸s, py=b⁸r, qy=ab⁹r, ry=ab⁹q, sy=b¹⁰q, ty=b¹⁰p, uy=ab¹¹p, vy=ab¹¹o, wy=b¹²o, xy=ab²⁵, y²=b²⁶, b²z=aby, cz=by, dz=b²y, ez=b²x, fz=ab³x, gz=ab³w, hz=b⁴w, iz=b⁴v, jz=ab⁵v, kz=ab⁵u, lz=b⁶u, mz=b⁶t, nz=ab⁷t, oz=ab⁷s, pz=b⁸s, qz=b⁸r, rz=ab⁹r, sz=ab⁹q, tz=b¹⁰q, uz=b¹⁰p, vz=ab¹¹p, wz=ab¹¹o, xz=b¹²o, yz=ab²⁵, z²=b²⁶, bA=az, cA=bz, dA=aby, eA=b²y, fA=b²x, gA=ab³x, hA=ab³w, iA=b⁴w, jA=b⁴v, kA=ab⁵v, lA=ab⁵u, mA=b⁶u, nA=b⁶t, oA=ab⁷t, pA=ab⁷s, qA=b⁸s, rA=b⁸r, sA=ab⁹r, tA=ab⁹q, uA=b¹⁰q, vA=b¹⁰p, wA=ab¹¹p, xA=ab¹¹o, yA=b¹²o, zA=ab²⁵, A²=b²⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, 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, abq, ab³q, ab⁵q, ab⁷q, ab⁹q, r, b²r, b⁴r, b⁶r, b⁸r, abs, ab³s, ab⁵s, ab⁷s, t, b²t, b⁴t, b⁶t, abu, ab³u, ab⁵u, v, b²v, b⁴v, abw, ab³w, x, b²x, aby, z}

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 b²⁵

Monoid Structure