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 Q₁₂₁(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, b²⁷=b²⁵, 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=b²⁶, b¹¹n=b²⁵, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=b⁶n, gn=b⁷n, hn=b⁸n, in=b⁹n, jn=b¹⁰n, kn=b²⁵, ln=b²⁶, mn=b²⁵, n²=b²⁶, b¹²o=b²⁵, co=ab²o, do=ab⁴o, eo=b⁵o, fo=b⁶o, go=b⁷o, ho=b⁸o, io=b⁹o, jo=b¹⁰o, ko=b¹¹o, lo=b²⁵, mo=b²⁶, no=b²⁵, o²=b²⁶, b¹¹p=b¹⁰o, cp=ab²p, dp=ab⁴p, ep=b⁵p, fp=b⁶p, gp=b⁷p, hp=b⁸p, ip=b⁹p, jp=b¹⁰p, kp=b¹⁰o, lp=b¹¹o, mp=b²⁵, np=b²⁶, op=b²⁵, p²=b²⁶, b¹⁰q=b⁹p, cq=ab²q, dq=ab⁴q, eq=b⁵q, fq=b⁶q, gq=b⁷q, hq=b⁸q, iq=b⁹q, jq=b⁹p, kq=b¹⁰p, lq=b¹⁰o, mq=b¹¹o, nq=b²⁵, oq=b²⁶, pq=b²⁵, q²=b²⁶, b⁹r=b⁸q, cr=ab²r, dr=ab⁴r, er=b⁵r, fr=b⁶r, gr=b⁷r, hr=b⁸r, ir=b⁸q, jr=b⁹q, kr=b⁹p, lr=b¹⁰p, mr=b¹⁰o, nr=b¹¹o, or=b²⁵, pr=b²⁶, qr=b²⁵, r²=b²⁶, b⁸s=b⁷r, cs=ab²s, ds=ab⁴s, es=b⁵s, fs=b⁶s, gs=b⁷s, hs=b⁷r, is=b⁸r, js=b⁸q, ks=b⁹q, ls=b⁹p, ms=b¹⁰p, ns=b¹⁰o, os=b¹¹o, ps=b²⁵, qs=b²⁶, rs=b²⁵, s²=b²⁶, b⁷t=b⁶s, ct=ab²t, dt=ab⁴t, et=b⁵t, ft=b⁶t, gt=b⁶s, ht=b⁷s, it=b⁷r, jt=b⁸r, kt=b⁸q, lt=b⁹q, mt=b⁹p, nt=b¹⁰p, ot=b¹⁰o, pt=b¹¹o, qt=b²⁵, rt=b²⁶, st=b²⁵, t²=b²⁶, b⁶u=b⁵t, cu=ab²u, du=ab⁴u, eu=b⁵u, fu=b⁵t, gu=b⁶t, hu=b⁶s, iu=b⁷s, ju=b⁷r, ku=b⁸r, lu=b⁸q, mu=b⁹q, nu=b⁹p, ou=b¹⁰p, pu=b¹⁰o, qu=b¹¹o, ru=b²⁵, su=b²⁶, tu=b²⁵, u²=b²⁶, b⁵v=b⁴u, cv=ab²v, dv=ab⁴v, ev=b⁴u, fv=b⁵u, gv=b⁵t, hv=b⁶t, iv=b⁶s, jv=b⁷s, kv=b⁷r, lv=b⁸r, mv=b⁸q, nv=b⁹q, ov=b⁹p, pv=b¹⁰p, qv=b¹⁰o, rv=b¹¹o, sv=b²⁵, tv=b²⁶, uv=b²⁵, v²=b²⁶, b⁴w=b³v, cw=ab²w, dw=ab³v, ew=b⁴v, fw=b⁴u, gw=b⁵u, hw=b⁵t, iw=b⁶t, jw=b⁶s, kw=b⁷s, lw=b⁷r, mw=b⁸r, nw=b⁸q, ow=b⁹q, pw=b⁹p, qw=b¹⁰p, rw=b¹⁰o, sw=b¹¹o, tw=b²⁵, uw=b²⁶, vw=b²⁵, w²=b²⁶, b³x=b²w, cx=ab²x, dx=ab³w, ex=b³v, fx=b⁴v, gx=b⁴u, hx=b⁵u, ix=b⁵t, jx=b⁶t, kx=b⁶s, lx=b⁷s, mx=b⁷r, nx=b⁸r, ox=b⁸q, px=b⁹q, qx=b⁹p, rx=b¹⁰p, sx=b¹⁰o, tx=b¹¹o, ux=b²⁵, vx=b²⁶, wx=b²⁵, x²=b²⁶, b²y=bx, cy=abx, dy=ab²w, ey=b³w, fy=b³v, gy=b⁴v, hy=b⁴u, iy=b⁵u, jy=b⁵t, ky=b⁶t, ly=b⁶s, my=b⁷s, ny=b⁷r, oy=b⁸r, py=b⁸q, qy=b⁹q, ry=b⁹p, sy=b¹⁰p, ty=b¹⁰o, uy=b¹¹o, vy=b²⁵, wy=b²⁶, xy=b²⁵, y²=b²⁶, b³z=y, cz=ab²z, dz=aby, ez=bx, fz=b²x, gz=b²w, hz=b³w, iz=b³v, jz=b⁴v, kz=b⁴u, lz=b⁵u, mz=b⁵t, nz=b⁶t, oz=b⁶s, pz=b⁷s, qz=b⁷r, rz=b⁸r, sz=b⁸q, tz=b⁹q, uz=b⁹p, vz=b¹⁰p, wz=b¹⁰o, xz=b¹¹o, yz=b²⁵, z²=b²⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, 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, bz}

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 ab²⁶ y ay b²⁵ ab²⁵ b²z ab²z b²⁶ ab²⁶ bz abz b²⁵ ab²⁵ z az b²⁶ ab²⁶

Monoid Structure