Details Page for 0.2406

Complete Solution is Known:

MSV File: q-0.2406.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₀₉(0.2406):

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, b²⁴=b²², bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=b⁷, ce=ab⁷, de=ab⁹, e²=b¹⁰, b³f=b⁹, cf=ab²f, df=ab¹⁰, ef=b¹¹, f²=b¹², b⁴g=b¹¹, cg=ab²g, dg=ab¹¹, eg=b¹², fg=b¹³, g²=b¹⁴, b⁵h=b¹³, ch=ab²h, dh=ab⁴h, eh=b¹³, fh=b¹⁴, gh=b¹⁵, h²=b¹⁶, b⁶i=b¹⁵, ci=ab²i, di=ab⁴i, ei=b⁵i, fi=b¹⁵, gi=b¹⁶, hi=b¹⁷, i²=b¹⁸, b⁷j=b¹⁷, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=b⁶j, gj=b¹⁷, hj=b¹⁸, ij=b¹⁹, j²=b²⁰, b⁸k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=b⁶k, gk=b⁷k, hk=b¹⁹, ik=b²⁰, jk=b²¹, k²=b²², b⁹l=b²¹, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=b⁶l, gl=b⁷l, hl=b⁸l, il=b²¹, jl=b²², kl=b²³, l²=b²², b¹⁰m=b²³, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=b⁶m, gm=b⁷m, hm=b⁸m, im=b⁹m, jm=b²³, km=b²², lm=b²³, m²=b²², b¹⁰n=b⁹m, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=b⁶n, gn=b⁷n, hn=b⁸n, in=b⁹n, jn=b⁹m, kn=b²³, ln=b²², mn=b²³, n²=b²², b⁹o=b⁸n, co=ab²o, do=ab⁴o, eo=b⁵o, fo=b⁶o, go=b⁷o, ho=b⁸o, io=b⁸n, jo=b⁹n, ko=b⁹m, lo=b²³, mo=b²², no=b²³, o²=b²², b⁸p=b⁷o, cp=ab²p, dp=ab⁴p, ep=b⁵p, fp=b⁶p, gp=b⁷p, hp=b⁷o, ip=b⁸o, jp=b⁸n, kp=b⁹n, lp=b⁹m, mp=b²³, np=b²², op=b²³, p²=b²², b⁷q=b⁶p, cq=ab²q, dq=ab⁴q, eq=b⁵q, fq=b⁶q, gq=b⁶p, hq=b⁷p, iq=b⁷o, jq=b⁸o, kq=b⁸n, lq=b⁹n, mq=b⁹m, nq=b²³, oq=b²², pq=b²³, q²=b²², b⁶r=b⁵q, cr=ab²r, dr=ab⁴r, er=b⁵r, fr=b⁵q, gr=b⁶q, hr=b⁶p, ir=b⁷p, jr=b⁷o, kr=b⁸o, lr=b⁸n, mr=b⁹n, nr=b⁹m, or=b²³, pr=b²², qr=b²³, r²=b²², b⁵s=b⁴r, cs=ab²s, ds=ab⁴s, es=b⁴r, fs=b⁵r, gs=b⁵q, hs=b⁶q, is=b⁶p, js=b⁷p, ks=b⁷o, ls=b⁸o, ms=b⁸n, ns=b⁹n, os=b⁹m, ps=b²³, qs=b²², rs=b²³, s²=b²², b⁴t=b³s, ct=ab²t, dt=ab³s, et=b⁴s, ft=b⁴r, gt=b⁵r, ht=b⁵q, it=b⁶q, jt=b⁶p, kt=b⁷p, lt=b⁷o, mt=b⁸o, nt=b⁸n, ot=b⁹n, pt=b⁹m, qt=b²³, rt=b²², st=b²³, t²=b²², b³u=b²t, cu=ab²u, du=ab³t, eu=b³s, fu=b⁴s, gu=b⁴r, hu=b⁵r, iu=b⁵q, ju=b⁶q, ku=b⁶p, lu=b⁷p, mu=b⁷o, nu=b⁸o, ou=b⁸n, pu=b⁹n, qu=b⁹m, ru=b²³, su=b²², tu=b²³, u²=b²², b²v=bu, cv=abu, dv=ab²t, ev=b³t, fv=b³s, gv=b⁴s, hv=b⁴r, iv=b⁵r, jv=b⁵q, kv=b⁶q, lv=b⁶p, mv=b⁷p, nv=b⁷o, ov=b⁸o, pv=b⁸n, qv=b⁹n, rv=b⁹m, sv=b²³, tv=b²², uv=b²³, v²=b²², bw=v, cw=abv, dw=ab²u, ew=b²t, fw=b³t, gw=b³s, hw=b⁴s, iw=b⁴r, jw=b⁵r, kw=b⁵q, lw=b⁶q, mw=b⁶p, nw=b⁷p, ow=b⁷o, pw=b⁸o, qw=b⁸n, rw=b⁹n, sw=b⁹m, tw=b²³, uw=b²², vw=b²³, w²=b²², bx=w, cx=av, dx=abu, ex=b²u, fx=b²t, gx=b³t, hx=b³s, ix=b⁴s, jx=b⁴r, kx=b⁵r, lx=b⁵q, mx=b⁶q, nx=b⁶p, ox=b⁷p, px=b⁷o, qx=b⁸o, rx=b⁸n, sx=b⁹n, tx=b⁹m, ux=b²³, vx=b²², wx=b²³, x²=b²², by=x, cy=aw, dy=abv, ey=bu, fy=b²u, gy=b²t, hy=b³t, iy=b³s, jy=b⁴s, ky=b⁴r, ly=b⁵r, my=b⁵q, ny=b⁶q, oy=b⁶p, py=b⁷p, qy=b⁷o, ry=b⁸o, sy=b⁸n, ty=b⁹n, uy=b⁹m, vy=b²³, wy=b²², xy=b²³, y²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², e, bf, g, b²g, bh, b³h, i, b²i, b⁴i, bj, b³j, b⁵j, k, b²k, b⁴k, b⁶k, bl, b³l, b⁵l, b⁷l, m, b²m, b⁴m, b⁶m, b⁸m, bn, b³n, b⁵n, b⁷n, b⁹n, o, b²o, b⁴o, b⁶o, b⁸o, bp, b³p, b⁵p, b⁷p, q, b²q, b⁴q, b⁶q, br, b³r, b⁵r, s, b²s, b⁴s, bt, b³t, u, b²u, bv, w, y}

Phi = 1 1 a 1 a b ab b ab 1 a 1 c b ab b ab³ ac c ac d b³ ab³ b³ ab⁵ ad d b⁴ ab⁶ e ae b⁵ ab⁷ f af b⁶ ab⁸ g ag b⁷ ab⁹ h ah b⁸ ab¹⁰ i ai b⁹ ab¹¹ j aj b¹⁰ ab¹² k ak b¹¹ ab¹³ l al b¹² ab¹⁴ m am b¹³ ab¹⁵ n an b¹⁴ ab¹⁶ o ao b¹⁵ ab¹⁷ p ap b¹⁶ ab¹⁸ q aq b¹⁷ ab¹⁹ r ar b¹⁸ ab²⁰ s as b¹⁹ ab²¹ t at b²⁰ ab²² u au b²¹ ab²³ v av b²² ab²² w aw b²³ ab²³ x ax b²² ab²² y ay b²³ ab²³

Monoid Structure