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 Q₁₁₇(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, b²⁶=b²⁴, 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=b²⁵, m²=b²⁴, b¹¹n=b²⁵, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=b⁶n, gn=b⁷n, hn=b⁸n, in=b⁹n, jn=b¹⁰n, kn=b²⁵, ln=b²⁴, mn=b²⁵, n²=b²⁴, b¹¹o=b¹⁰n, co=ab²o, do=ab⁴o, eo=b⁵o, fo=b⁶o, go=b⁷o, ho=b⁸o, io=b⁹o, jo=b¹⁰o, ko=b¹⁰n, lo=b²⁵, mo=b²⁴, no=b²⁵, o²=b²⁴, b¹⁰p=b⁹o, cp=ab²p, dp=ab⁴p, ep=b⁵p, fp=b⁶p, gp=b⁷p, hp=b⁸p, ip=b⁹p, jp=b⁹o, kp=b¹⁰o, lp=b¹⁰n, mp=b²⁵, np=b²⁴, op=b²⁵, p²=b²⁴, b⁹q=b⁸p, cq=ab²q, dq=ab⁴q, eq=b⁵q, fq=b⁶q, gq=b⁷q, hq=b⁸q, iq=b⁸p, jq=b⁹p, kq=b⁹o, lq=b¹⁰o, mq=b¹⁰n, nq=b²⁵, oq=b²⁴, pq=b²⁵, q²=b²⁴, b⁸r=b⁷q, cr=ab²r, dr=ab⁴r, er=b⁵r, fr=b⁶r, gr=b⁷r, hr=b⁷q, ir=b⁸q, jr=b⁸p, kr=b⁹p, lr=b⁹o, mr=b¹⁰o, nr=b¹⁰n, or=b²⁵, pr=b²⁴, qr=b²⁵, r²=b²⁴, b⁷s=b⁶r, cs=ab²s, ds=ab⁴s, es=b⁵s, fs=b⁶s, gs=b⁶r, hs=b⁷r, is=b⁷q, js=b⁸q, ks=b⁸p, ls=b⁹p, ms=b⁹o, ns=b¹⁰o, os=b¹⁰n, ps=b²⁵, qs=b²⁴, rs=b²⁵, s²=b²⁴, b⁶t=b⁵s, ct=ab²t, dt=ab⁴t, et=b⁵t, ft=b⁵s, gt=b⁶s, ht=b⁶r, it=b⁷r, jt=b⁷q, kt=b⁸q, lt=b⁸p, mt=b⁹p, nt=b⁹o, ot=b¹⁰o, pt=b¹⁰n, qt=b²⁵, rt=b²⁴, st=b²⁵, t²=b²⁴, b⁵u=b⁴t, cu=ab²u, du=ab⁴u, eu=b⁴t, fu=b⁵t, gu=b⁵s, hu=b⁶s, iu=b⁶r, ju=b⁷r, ku=b⁷q, lu=b⁸q, mu=b⁸p, nu=b⁹p, ou=b⁹o, pu=b¹⁰o, qu=b¹⁰n, ru=b²⁵, su=b²⁴, tu=b²⁵, u²=b²⁴, b⁴v=b³u, cv=ab²v, dv=ab³u, ev=b⁴u, fv=b⁴t, gv=b⁵t, hv=b⁵s, iv=b⁶s, jv=b⁶r, kv=b⁷r, lv=b⁷q, mv=b⁸q, nv=b⁸p, ov=b⁹p, pv=b⁹o, qv=b¹⁰o, rv=b¹⁰n, sv=b²⁵, tv=b²⁴, uv=b²⁵, v²=b²⁴, b³w=b²v, cw=ab²w, dw=ab³v, ew=b³u, fw=b⁴u, gw=b⁴t, hw=b⁵t, iw=b⁵s, jw=b⁶s, kw=b⁶r, lw=b⁷r, mw=b⁷q, nw=b⁸q, ow=b⁸p, pw=b⁹p, qw=b⁹o, rw=b¹⁰o, sw=b¹⁰n, tw=b²⁵, uw=b²⁴, vw=b²⁵, w²=b²⁴, b²x=bw, cx=abw, dx=ab²v, ex=b³v, fx=b³u, gx=b⁴u, hx=b⁴t, ix=b⁵t, jx=b⁵s, kx=b⁶s, lx=b⁶r, mx=b⁷r, nx=b⁷q, ox=b⁸q, px=b⁸p, qx=b⁹p, rx=b⁹o, sx=b¹⁰o, tx=b¹⁰n, ux=b²⁵, vx=b²⁴, wx=b²⁵, x²=b²⁴, by=x, cy=abx, dy=ab²w, ey=b²v, fy=b³v, gy=b³u, hy=b⁴u, iy=b⁴t, jy=b⁵t, ky=b⁵s, ly=b⁶s, my=b⁶r, ny=b⁷r, oy=b⁷q, py=b⁸q, qy=b⁸p, ry=b⁹p, sy=b⁹o, ty=b¹⁰o, uy=b¹⁰n, vy=b²⁵, wy=b²⁴, xy=b²⁵, y²=b²⁴, b²z=y, cz=ay, dz=abx, ez=bw, fz=b²w, gz=b²v, hz=b³v, iz=b³u, jz=b⁴u, kz=b⁴t, lz=b⁵t, mz=b⁵s, nz=b⁶s, oz=b⁶r, pz=b⁷r, qz=b⁷q, rz=b⁸q, sz=b⁸p, tz=b⁹p, uz=b⁹o, vz=b¹⁰o, wz=b¹⁰n, xz=b²⁵, yz=b²⁴, 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, b¹⁰o, bp, b³p, b⁵p, b⁷p, b⁹p, q, b²q, b⁴q, b⁶q, b⁸q, br, b³r, b⁵r, b⁷r, s, b²s, b⁴s, b⁶s, bt, b³t, b⁵t, u, b²u, b⁴u, bv, b³v, w, b²w, bx, y, z}

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 ab²⁵ x ax b²⁴ ab²⁴ y ay b²⁵ ab²⁵ bz abz b²⁴ ab²⁴ z az b²⁵ ab²⁵

Monoid Structure