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 Q₁₂₅(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, b²⁸=b²⁶, 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=b²⁷, n²=b²⁶, b¹²o=b²⁷, co=ab²o, do=ab⁴o, eo=b⁵o, fo=b⁶o, go=b⁷o, ho=b⁸o, io=b⁹o, jo=b¹⁰o, ko=b¹¹o, lo=b²⁷, mo=b²⁶, no=b²⁷, o²=b²⁶, b¹²p=b¹¹o, cp=ab²p, dp=ab⁴p, ep=b⁵p, fp=b⁶p, gp=b⁷p, hp=b⁸p, ip=b⁹p, jp=b¹⁰p, kp=b¹¹p, lp=b¹¹o, mp=b²⁷, np=b²⁶, op=b²⁷, p²=b²⁶, b¹¹q=b¹⁰p, cq=ab²q, dq=ab⁴q, eq=b⁵q, fq=b⁶q, gq=b⁷q, hq=b⁸q, iq=b⁹q, jq=b¹⁰q, kq=b¹⁰p, lq=b¹¹p, mq=b¹¹o, nq=b²⁷, oq=b²⁶, pq=b²⁷, q²=b²⁶, b¹⁰r=b⁹q, cr=ab²r, dr=ab⁴r, er=b⁵r, fr=b⁶r, gr=b⁷r, hr=b⁸r, ir=b⁹r, jr=b⁹q, kr=b¹⁰q, lr=b¹⁰p, mr=b¹¹p, nr=b¹¹o, or=b²⁷, pr=b²⁶, qr=b²⁷, r²=b²⁶, b⁹s=b⁸r, cs=ab²s, ds=ab⁴s, es=b⁵s, fs=b⁶s, gs=b⁷s, hs=b⁸s, is=b⁸r, js=b⁹r, ks=b⁹q, ls=b¹⁰q, ms=b¹⁰p, ns=b¹¹p, os=b¹¹o, ps=b²⁷, qs=b²⁶, rs=b²⁷, s²=b²⁶, b⁸t=b⁷s, ct=ab²t, dt=ab⁴t, et=b⁵t, ft=b⁶t, gt=b⁷t, ht=b⁷s, it=b⁸s, jt=b⁸r, kt=b⁹r, lt=b⁹q, mt=b¹⁰q, nt=b¹⁰p, ot=b¹¹p, pt=b¹¹o, qt=b²⁷, rt=b²⁶, st=b²⁷, t²=b²⁶, b⁷u=b⁶t, cu=ab²u, du=ab⁴u, eu=b⁵u, fu=b⁶u, gu=b⁶t, hu=b⁷t, iu=b⁷s, ju=b⁸s, ku=b⁸r, lu=b⁹r, mu=b⁹q, nu=b¹⁰q, ou=b¹⁰p, pu=b¹¹p, qu=b¹¹o, ru=b²⁷, su=b²⁶, tu=b²⁷, u²=b²⁶, b⁶v=b⁵u, cv=ab²v, dv=ab⁴v, ev=b⁵v, fv=b⁵u, gv=b⁶u, hv=b⁶t, iv=b⁷t, jv=b⁷s, kv=b⁸s, lv=b⁸r, mv=b⁹r, nv=b⁹q, ov=b¹⁰q, pv=b¹⁰p, qv=b¹¹p, rv=b¹¹o, sv=b²⁷, tv=b²⁶, uv=b²⁷, v²=b²⁶, b⁵w=b⁴v, cw=ab²w, dw=ab⁴w, ew=b⁴v, fw=b⁵v, gw=b⁵u, hw=b⁶u, iw=b⁶t, jw=b⁷t, kw=b⁷s, lw=b⁸s, mw=b⁸r, nw=b⁹r, ow=b⁹q, pw=b¹⁰q, qw=b¹⁰p, rw=b¹¹p, sw=b¹¹o, tw=b²⁷, uw=b²⁶, vw=b²⁷, w²=b²⁶, b⁴x=b³w, cx=ab²x, dx=ab³w, ex=b⁴w, fx=b⁴v, gx=b⁵v, hx=b⁵u, ix=b⁶u, jx=b⁶t, kx=b⁷t, lx=b⁷s, mx=b⁸s, nx=b⁸r, ox=b⁹r, px=b⁹q, qx=b¹⁰q, rx=b¹⁰p, sx=b¹¹p, tx=b¹¹o, ux=b²⁷, vx=b²⁶, wx=b²⁷, x²=b²⁶, b³y=b²x, cy=ab²y, dy=ab³x, ey=b³w, fy=b⁴w, gy=b⁴v, hy=b⁵v, iy=b⁵u, jy=b⁶u, ky=b⁶t, ly=b⁷t, my=b⁷s, ny=b⁸s, oy=b⁸r, py=b⁹r, qy=b⁹q, ry=b¹⁰q, sy=b¹⁰p, ty=b¹¹p, uy=b¹¹o, vy=b²⁷, wy=b²⁶, xy=b²⁷, y²=b²⁶, b⁵z=by, cz=ab²z, dz=ab⁴z, ez=by, fz=b²y, gz=b²x, hz=b³x, iz=b³w, jz=b⁴w, kz=b⁴v, lz=b⁵v, mz=b⁵u, nz=b⁶u, oz=b⁶t, pz=b⁷t, qz=b⁷s, rz=b⁸s, sz=b⁸r, tz=b⁹r, uz=b⁹q, vz=b¹⁰q, wz=b¹⁰p, xz=b¹¹p, yz=b¹¹o, 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, b¹¹p, q, b²q, b⁴q, b⁶q, b⁸q, b¹⁰q, br, b³r, b⁵r, b⁷r, b⁹r, s, b²s, b⁴s, b⁶s, b⁸s, bt, b³t, b⁵t, b⁷t, u, b²u, b⁴u, b⁶u, bv, b³v, b⁵v, w, b²w, b⁴w, bx, b³x, y, b²y, z, b²z, b⁴z}

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 ab²⁷ b³z ab³z b²⁶ ab²⁶ b²z ab²z b²⁷ ab²⁷ bz abz b²⁶ ab²⁶ z az b²⁷ ab²⁷

Monoid Structure