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 Q₁₁₃(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,z | a²=1, b²⁵=b²³, 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=b²⁴, b¹⁰m=b²³, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=b⁶m, gm=b⁷m, hm=b⁸m, im=b⁹m, jm=b²³, km=b²⁴, lm=b²³, m²=b²⁴, b¹¹n=b²³, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=b⁶n, gn=b⁷n, hn=b⁸n, in=b⁹n, jn=b¹⁰n, kn=b²³, ln=b²⁴, mn=b²³, n²=b²⁴, b¹⁰o=b⁹n, co=ab²o, do=ab⁴o, eo=b⁵o, fo=b⁶o, go=b⁷o, ho=b⁸o, io=b⁹o, jo=b⁹n, ko=b¹⁰n, lo=b²³, mo=b²⁴, no=b²³, o²=b²⁴, b⁹p=b⁸o, cp=ab²p, dp=ab⁴p, ep=b⁵p, fp=b⁶p, gp=b⁷p, hp=b⁸p, ip=b⁸o, jp=b⁹o, kp=b⁹n, lp=b¹⁰n, mp=b²³, np=b²⁴, op=b²³, p²=b²⁴, b⁸q=b⁷p, cq=ab²q, dq=ab⁴q, eq=b⁵q, fq=b⁶q, gq=b⁷q, hq=b⁷p, iq=b⁸p, jq=b⁸o, kq=b⁹o, lq=b⁹n, mq=b¹⁰n, nq=b²³, oq=b²⁴, pq=b²³, q²=b²⁴, b⁷r=b⁶q, cr=ab²r, dr=ab⁴r, er=b⁵r, fr=b⁶r, gr=b⁶q, hr=b⁷q, ir=b⁷p, jr=b⁸p, kr=b⁸o, lr=b⁹o, mr=b⁹n, nr=b¹⁰n, or=b²³, pr=b²⁴, qr=b²³, r²=b²⁴, b⁶s=b⁵r, cs=ab²s, ds=ab⁴s, es=b⁵s, fs=b⁵r, gs=b⁶r, hs=b⁶q, is=b⁷q, js=b⁷p, ks=b⁸p, ls=b⁸o, ms=b⁹o, ns=b⁹n, os=b¹⁰n, ps=b²³, qs=b²⁴, rs=b²³, s²=b²⁴, b⁵t=b⁴s, ct=ab²t, dt=ab⁴t, et=b⁴s, ft=b⁵s, gt=b⁵r, ht=b⁶r, it=b⁶q, jt=b⁷q, kt=b⁷p, lt=b⁸p, mt=b⁸o, nt=b⁹o, ot=b⁹n, pt=b¹⁰n, qt=b²³, rt=b²⁴, st=b²³, t²=b²⁴, b⁴u=b³t, cu=ab²u, du=ab³t, eu=b⁴t, fu=b⁴s, gu=b⁵s, hu=b⁵r, iu=b⁶r, ju=b⁶q, ku=b⁷q, lu=b⁷p, mu=b⁸p, nu=b⁸o, ou=b⁹o, pu=b⁹n, qu=b¹⁰n, ru=b²³, su=b²⁴, tu=b²³, u²=b²⁴, b³v=b²u, cv=ab²v, dv=ab³u, ev=b³t, fv=b⁴t, gv=b⁴s, hv=b⁵s, iv=b⁵r, jv=b⁶r, kv=b⁶q, lv=b⁷q, mv=b⁷p, nv=b⁸p, ov=b⁸o, pv=b⁹o, qv=b⁹n, rv=b¹⁰n, sv=b²³, tv=b²⁴, uv=b²³, v²=b²⁴, b²w=bv, cw=abv, dw=ab²u, ew=b³u, fw=b³t, gw=b⁴t, hw=b⁴s, iw=b⁵s, jw=b⁵r, kw=b⁶r, lw=b⁶q, mw=b⁷q, nw=b⁷p, ow=b⁸p, pw=b⁸o, qw=b⁹o, rw=b⁹n, sw=b¹⁰n, tw=b²³, uw=b²⁴, vw=b²³, w²=b²⁴, bx=w, cx=abw, dx=ab²v, ex=b²u, fx=b³u, gx=b³t, hx=b⁴t, ix=b⁴s, jx=b⁵s, kx=b⁵r, lx=b⁶r, mx=b⁶q, nx=b⁷q, ox=b⁷p, px=b⁸p, qx=b⁸o, rx=b⁹o, sx=b⁹n, tx=b¹⁰n, ux=b²³, vx=b²⁴, wx=b²³, x²=b²⁴, by=x, cy=aw, dy=abv, ey=b²v, fy=b²u, gy=b³u, hy=b³t, iy=b⁴t, jy=b⁴s, ky=b⁵s, ly=b⁵r, my=b⁶r, ny=b⁶q, oy=b⁷q, py=b⁷p, qy=b⁸p, ry=b⁸o, sy=b⁹o, ty=b⁹n, uy=b¹⁰n, vy=b²³, wy=b²⁴, xy=b²³, y²=b²⁴, bz=y, cz=ax, dz=abw, ez=bv, fz=b²v, gz=b²u, hz=b³u, iz=b³t, jz=b⁴t, kz=b⁴s, lz=b⁵s, mz=b⁵r, nz=b⁶r, oz=b⁶q, pz=b⁷q, qz=b⁷p, rz=b⁸p, sz=b⁸o, tz=b⁹o, uz=b⁹n, vz=b¹⁰n, wz=b²³, xz=b²⁴, yz=b²³, z²=b²⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, 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 ab²⁴ w aw b²³ ab²³ x ax b²⁴ ab²⁴ y ay b²³ ab²³ z az b²⁴ ab²⁴

Monoid Structure