Details Page for 0.7153

Complete Solution is Known:

MSV File: q-0.7153.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₉₇(0.7153):

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 | a²=1, b²⁵=b²³, bc=ab³, c²=b⁴, b²d=ab⁵, cd=b⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=b⁷, e²=b⁸, b⁴f=ab⁹, cf=ab²f, df=ab³f, ef=b⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=ab³g, eg=ab⁴g, fg=b¹¹, g²=b¹², b⁶h=ab¹³, ch=ab²h, dh=ab³h, eh=ab⁴h, fh=ab⁵h, gh=b¹³, h²=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=ab³i, ei=ab⁴i, fi=ab⁵i, gi=ab⁶i, hi=b¹⁵, i²=b¹⁶, b⁸j=ab¹⁷, cj=ab²j, dj=ab³j, ej=ab⁴j, fj=ab⁵j, gj=ab⁶j, hj=ab⁷j, ij=b¹⁷, j²=b¹⁸, b⁹k=ab¹⁹, ck=ab²k, dk=ab³k, ek=ab⁴k, fk=ab⁵k, gk=ab⁶k, hk=ab⁷k, ik=ab⁸k, jk=b¹⁹, k²=b²⁰, b¹⁰l=ab²¹, cl=ab²l, dl=ab³l, el=ab⁴l, fl=ab⁵l, gl=ab⁶l, hl=ab⁷l, il=ab⁸l, jl=ab⁹l, kl=b²¹, l²=b²², b¹¹m=ab²³, cm=ab²m, dm=ab³m, em=ab⁴m, fm=ab⁵m, gm=ab⁶m, hm=ab⁷m, im=ab⁸m, jm=ab⁹m, km=ab¹⁰m, lm=b²³, m²=b²⁴, b¹²n=ab²³, cn=ab²n, dn=ab³n, en=ab⁴n, fn=ab⁵n, gn=ab⁶n, hn=ab⁷n, in=ab⁸n, jn=ab⁹n, kn=ab¹⁰n, ln=ab¹¹n, mn=b²³, n²=b²⁴, b¹¹o=b¹⁰n, co=ab²o, do=ab³o, eo=ab⁴o, fo=ab⁵o, go=ab⁶o, ho=ab⁷o, io=ab⁸o, jo=ab⁹o, ko=ab¹⁰o, lo=ab¹⁰n, mo=ab¹¹n, no=b²³, o²=b²⁴, b¹⁰p=b⁹o, cp=ab²p, dp=ab³p, ep=ab⁴p, fp=ab⁵p, gp=ab⁶p, hp=ab⁷p, ip=ab⁸p, jp=ab⁹p, kp=ab⁹o, lp=ab¹⁰o, mp=ab¹⁰n, np=ab¹¹n, op=b²³, p²=b²⁴, b⁹q=b⁸p, cq=ab²q, dq=ab³q, eq=ab⁴q, fq=ab⁵q, gq=ab⁶q, hq=ab⁷q, iq=ab⁸q, jq=ab⁸p, kq=ab⁹p, lq=ab⁹o, mq=ab¹⁰o, nq=ab¹⁰n, oq=ab¹¹n, pq=b²³, q²=b²⁴, b⁸r=b⁷q, cr=ab²r, dr=ab³r, er=ab⁴r, fr=ab⁵r, gr=ab⁶r, hr=ab⁷r, ir=ab⁷q, jr=ab⁸q, kr=ab⁸p, lr=ab⁹p, mr=ab⁹o, nr=ab¹⁰o, or=ab¹⁰n, pr=ab¹¹n, qr=b²³, r²=b²⁴, b⁷s=b⁶r, cs=ab²s, ds=ab³s, es=ab⁴s, fs=ab⁵s, gs=ab⁶s, hs=ab⁶r, is=ab⁷r, js=ab⁷q, ks=ab⁸q, ls=ab⁸p, ms=ab⁹p, ns=ab⁹o, os=ab¹⁰o, ps=ab¹⁰n, qs=ab¹¹n, rs=b²³, s²=b²⁴, b⁶t=b⁵s, ct=ab²t, dt=ab³t, et=ab⁴t, ft=ab⁵t, gt=ab⁵s, ht=ab⁶s, it=ab⁶r, jt=ab⁷r, kt=ab⁷q, lt=ab⁸q, mt=ab⁸p, nt=ab⁹p, ot=ab⁹o, pt=ab¹⁰o, qt=ab¹⁰n, rt=ab¹¹n, st=b²³, t²=b²⁴, b⁵u=b⁴t, cu=ab²u, du=ab³u, eu=ab⁴u, fu=ab⁴t, gu=ab⁵t, hu=ab⁵s, iu=ab⁶s, ju=ab⁶r, ku=ab⁷r, lu=ab⁷q, mu=ab⁸q, nu=ab⁸p, ou=ab⁹p, pu=ab⁹o, qu=ab¹⁰o, ru=ab¹⁰n, su=ab¹¹n, tu=b²³, u²=b²⁴, b⁴v=b³u, cv=ab²v, dv=ab³v, ev=ab³u, fv=ab⁴u, gv=ab⁴t, hv=ab⁵t, iv=ab⁵s, jv=ab⁶s, kv=ab⁶r, lv=ab⁷r, mv=ab⁷q, nv=ab⁸q, ov=ab⁸p, pv=ab⁹p, qv=ab⁹o, rv=ab¹⁰o, sv=ab¹⁰n, tv=ab¹¹n, uv=b²³, v²=b²⁴, b³w=b²v, cw=ab²w, dw=ab²v, ew=ab³v, fw=ab³u, gw=ab⁴u, hw=ab⁴t, iw=ab⁵t, jw=ab⁵s, kw=ab⁶s, lw=ab⁶r, mw=ab⁷r, nw=ab⁷q, ow=ab⁸q, pw=ab⁸p, qw=ab⁹p, rw=ab⁹o, sw=ab¹⁰o, tw=ab¹⁰n, uw=ab¹¹n, vw=b²³, w²=b²⁴, b²x=bw, cx=abw, dx=ab²w, ex=ab²v, fx=ab³v, gx=ab³u, hx=ab⁴u, ix=ab⁴t, jx=ab⁵t, kx=ab⁵s, lx=ab⁶s, mx=ab⁶r, nx=ab⁷r, ox=ab⁷q, px=ab⁸q, qx=ab⁸p, rx=ab⁹p, sx=ab⁹o, tx=ab¹⁰o, ux=ab¹⁰n, vx=ab¹¹n, wx=b²³, x²=b²⁴, by=x, cy=abx, dy=abw, ey=ab²w, fy=ab²v, gy=ab³v, hy=ab³u, iy=ab⁴u, jy=ab⁴t, ky=ab⁵t, ly=ab⁵s, my=ab⁶s, ny=ab⁶r, oy=ab⁷r, py=ab⁷q, qy=ab⁸q, ry=ab⁸p, sy=ab⁹p, ty=ab⁹o, uy=ab¹⁰o, vy=ab¹⁰n, wy=ab¹¹n, xy=b²³, y²=b²⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, ad, abe, af, ab²f, abg, ab³g, ah, ab²h, ab⁴h, abi, ab³i, ab⁵i, aj, ab²j, ab⁴j, ab⁶j, abk, ab³k, ab⁵k, ab⁷k, al, ab²l, ab⁴l, ab⁶l, ab⁸l, abm, ab³m, ab⁵m, ab⁷m, ab⁹m, an, ab²n, ab⁴n, ab⁶n, ab⁸n, ab¹⁰n, abo, ab³o, ab⁵o, ab⁷o, ab⁹o, ap, ab²p, ab⁴p, ab⁶p, ab⁸p, abq, ab³q, ab⁵q, ab⁷q, ar, ab²r, ab⁴r, ab⁶r, abs, ab³s, ab⁵s, at, ab²t, ab⁴t, abu, ab³u, av, ab²v, abw, ax}

Phi = 1 a b a b ab b² ab b² c b³ ab² b³ d b⁴ ab³ b⁴ e b⁵ ab⁴ b⁵ f b⁶ ab⁵ b⁶ g b⁷ ab⁶ b⁷ h b⁸ ab⁷ b⁸ i b⁹ ab⁸ b⁹ j b¹⁰ ab⁹ b¹⁰ k b¹¹ ab¹⁰ b¹¹ l b¹² ab¹¹ b¹² m b¹³ ab¹² b¹³ n b¹⁴ ab¹³ b¹⁴ o b¹⁵ ab¹⁴ b¹⁵ p b¹⁶ ab¹⁵ b¹⁶ q b¹⁷ ab¹⁶ b¹⁷ r b¹⁸ ab¹⁷ b¹⁸ s b¹⁹ ab¹⁸ b¹⁹ t b²⁰ ab¹⁹ b²⁰ u b²¹ ab²⁰ b²¹ v b²² ab²¹ b²² w b²³ ab²² b²³ x b²⁴ ab²³ b²⁴ y b²³ ab²⁴ b²³

Monoid Structure