Details Page for 0.7073

Complete Solution is Known:

MSV File: q-0.7073.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₀₃(0.7073):

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, b²⁶=b²⁴, 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=ab²⁵, cn=ab²n, dn=ab³n, en=ab⁴n, fn=ab⁵n, gn=ab⁶n, hn=ab⁷n, in=ab⁸n, jn=ab⁹n, kn=ab¹⁰n, ln=ab¹¹n, mn=b²⁵, n²=b²⁴, b¹²o=b¹¹n, co=ab²o, do=ab³o, eo=ab⁴o, fo=ab⁵o, go=ab⁶o, ho=ab⁷o, io=ab⁸o, jo=ab⁹o, ko=ab¹⁰o, lo=ab¹¹o, mo=ab¹¹n, no=b²⁵, o²=b²⁴, b¹¹p=b¹⁰o, cp=ab²p, dp=ab³p, ep=ab⁴p, fp=ab⁵p, gp=ab⁶p, hp=ab⁷p, ip=ab⁸p, jp=ab⁹p, kp=ab¹⁰p, lp=ab¹⁰o, mp=ab¹¹o, np=ab¹¹n, op=b²⁵, p²=b²⁴, b¹⁰q=b⁹p, cq=ab²q, dq=ab³q, eq=ab⁴q, fq=ab⁵q, gq=ab⁶q, hq=ab⁷q, iq=ab⁸q, jq=ab⁹q, kq=ab⁹p, lq=ab¹⁰p, mq=ab¹⁰o, nq=ab¹¹o, oq=ab¹¹n, pq=b²⁵, q²=b²⁴, b⁹r=b⁸q, cr=ab²r, dr=ab³r, er=ab⁴r, fr=ab⁵r, gr=ab⁶r, hr=ab⁷r, ir=ab⁸r, jr=ab⁸q, kr=ab⁹q, lr=ab⁹p, mr=ab¹⁰p, nr=ab¹⁰o, or=ab¹¹o, pr=ab¹¹n, qr=b²⁵, r²=b²⁴, b⁸s=b⁷r, cs=ab²s, ds=ab³s, es=ab⁴s, fs=ab⁵s, gs=ab⁶s, hs=ab⁷s, is=ab⁷r, js=ab⁸r, ks=ab⁸q, ls=ab⁹q, ms=ab⁹p, ns=ab¹⁰p, os=ab¹⁰o, ps=ab¹¹o, qs=ab¹¹n, rs=b²⁵, s²=b²⁴, b⁷t=b⁶s, ct=ab²t, dt=ab³t, et=ab⁴t, ft=ab⁵t, gt=ab⁶t, ht=ab⁶s, it=ab⁷s, jt=ab⁷r, kt=ab⁸r, lt=ab⁸q, mt=ab⁹q, nt=ab⁹p, ot=ab¹⁰p, pt=ab¹⁰o, qt=ab¹¹o, rt=ab¹¹n, st=b²⁵, t²=b²⁴, b⁶u=b⁵t, cu=ab²u, du=ab³u, eu=ab⁴u, fu=ab⁵u, gu=ab⁵t, hu=ab⁶t, iu=ab⁶s, ju=ab⁷s, ku=ab⁷r, lu=ab⁸r, mu=ab⁸q, nu=ab⁹q, ou=ab⁹p, pu=ab¹⁰p, qu=ab¹⁰o, ru=ab¹¹o, su=ab¹¹n, tu=b²⁵, u²=b²⁴, b⁵v=b⁴u, cv=ab²v, dv=ab³v, ev=ab⁴v, fv=ab⁴u, gv=ab⁵u, hv=ab⁵t, iv=ab⁶t, jv=ab⁶s, kv=ab⁷s, lv=ab⁷r, mv=ab⁸r, nv=ab⁸q, ov=ab⁹q, pv=ab⁹p, qv=ab¹⁰p, rv=ab¹⁰o, sv=ab¹¹o, tv=ab¹¹n, uv=b²⁵, v²=b²⁴, b⁴w=b³v, cw=ab²w, dw=ab³w, ew=ab³v, fw=ab⁴v, gw=ab⁴u, hw=ab⁵u, iw=ab⁵t, jw=ab⁶t, kw=ab⁶s, lw=ab⁷s, mw=ab⁷r, nw=ab⁸r, ow=ab⁸q, pw=ab⁹q, qw=ab⁹p, rw=ab¹⁰p, sw=ab¹⁰o, tw=ab¹¹o, uw=ab¹¹n, vw=b²⁵, w²=b²⁴, b³x=b²w, cx=ab²x, dx=ab²w, ex=ab³w, fx=ab³v, gx=ab⁴v, hx=ab⁴u, ix=ab⁵u, jx=ab⁵t, kx=ab⁶t, lx=ab⁶s, mx=ab⁷s, nx=ab⁷r, ox=ab⁸r, px=ab⁸q, qx=ab⁹q, rx=ab⁹p, sx=ab¹⁰p, tx=ab¹⁰o, ux=ab¹¹o, vx=ab¹¹n, wx=b²⁵, x²=b²⁴, b³y=bx, cy=ab²y, dy=abx, ey=ab²x, fy=ab²w, gy=ab³w, hy=ab³v, iy=ab⁴v, jy=ab⁴u, ky=ab⁵u, ly=ab⁵t, my=ab⁶t, ny=ab⁶s, oy=ab⁷s, py=ab⁷r, qy=ab⁸r, ry=ab⁸q, sy=ab⁹q, ty=ab⁹p, uy=ab¹⁰p, vy=ab¹⁰o, wy=ab¹¹o, xy=ab¹¹n, 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, ab¹¹o, ap, ab²p, ab⁴p, ab⁶p, ab⁸p, ab¹⁰p, abq, ab³q, ab⁵q, ab⁷q, ab⁹q, ar, ab²r, ab⁴r, ab⁶r, ab⁸r, abs, ab³s, ab⁵s, ab⁷s, at, ab²t, ab⁴t, ab⁶t, abu, ab³u, ab⁵u, av, ab²v, ab⁴v, abw, ab³w, ax, ab²x, ay, ab²y}

Phi = 1 a 1 a b ab b ab 1 c ac c b ab³ b³ d b² bd b⁴ e b³ be b⁵ f b⁴ bf b⁶ g b⁵ bg b⁷ h b⁶ bh b⁸ i b⁷ bi b⁹ j b⁸ bj b¹⁰ k b⁹ bk b¹¹ l b¹⁰ bl b¹² m b¹¹ bm b¹³ n b¹² bn b¹⁴ o b¹³ bo b¹⁵ p b¹⁴ bp b¹⁶ q b¹⁵ bq b¹⁷ r b¹⁶ br b¹⁸ s b¹⁷ bs b¹⁹ t b¹⁸ bt b²⁰ u b¹⁹ bu b²¹ v b²⁰ bv b²² w b²¹ bw b²³ x b²² bx b²⁴ by b²³ b²y b²⁵ y b²⁴ by b²⁴

Monoid Structure