Details Page for 0.5513

Complete Solution is Known:

MSV File: q-0.5513.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₁₉(0.5513):

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=ab⁹, cf=ab²f, df=b¹⁰, ef=ab¹¹, f²=b¹², b⁴g=b¹¹, cg=ab²g, dg=ab¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=ab¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁶, b⁶i=b¹⁵, ci=ab²i, di=ab⁴i, ei=b⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁸, b⁷j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁶j, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁹, j²=b²⁰, b⁸k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁶k, gk=b⁷k, hk=ab¹⁹, ik=b²⁰, jk=ab²¹, k²=b²², b⁹l=ab²¹, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=ab⁶l, gl=b⁷l, hl=ab⁸l, il=ab²¹, jl=b²², kl=ab²³, l²=b²⁴, b¹⁰m=b²³, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=ab⁶m, gm=b⁷m, hm=ab⁸m, im=b⁹m, jm=ab²³, km=b²⁴, lm=ab²⁵, m²=b²⁶, b¹¹n=ab²⁵, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=ab⁶n, gn=b⁷n, hn=ab⁸n, in=b⁹n, jn=ab¹⁰n, kn=ab²⁵, ln=b²⁶, mn=ab²⁷, n²=b²⁶, b¹²o=b²⁷, co=ab²o, do=ab⁴o, eo=b⁵o, fo=ab⁶o, go=b⁷o, ho=ab⁸o, io=b⁹o, jo=ab¹⁰o, ko=b¹¹o, lo=ab²⁷, mo=b²⁶, no=ab²⁷, o²=b²⁶, b¹²p=ab¹¹o, cp=ab²p, dp=ab⁴p, ep=b⁵p, fp=ab⁶p, gp=b⁷p, hp=ab⁸p, ip=b⁹p, jp=ab¹⁰p, kp=b¹¹p, lp=b¹¹o, mp=ab²⁷, np=b²⁶, op=ab²⁷, p²=b²⁶, b¹¹q=ab¹⁰p, cq=ab²q, dq=ab⁴q, eq=b⁵q, fq=ab⁶q, gq=b⁷q, hq=ab⁸q, iq=b⁹q, jq=ab¹⁰q, kq=ab¹⁰p, lq=b¹¹p, mq=b¹¹o, nq=ab²⁷, oq=b²⁶, pq=ab²⁷, q²=b²⁶, b¹⁰r=ab⁹q, cr=ab²r, dr=ab⁴r, er=b⁵r, fr=ab⁶r, gr=b⁷r, hr=ab⁸r, ir=b⁹r, jr=b⁹q, kr=ab¹⁰q, lr=ab¹⁰p, mr=b¹¹p, nr=b¹¹o, or=ab²⁷, pr=b²⁶, qr=ab²⁷, r²=b²⁶, b⁹s=ab⁸r, cs=ab²s, ds=ab⁴s, es=b⁵s, fs=ab⁶s, gs=b⁷s, hs=ab⁸s, is=ab⁸r, js=b⁹r, ks=b⁹q, ls=ab¹⁰q, ms=ab¹⁰p, ns=b¹¹p, os=b¹¹o, ps=ab²⁷, qs=b²⁶, rs=ab²⁷, s²=b²⁶, b⁸t=ab⁷s, ct=ab²t, dt=ab⁴t, et=b⁵t, ft=ab⁶t, gt=b⁷t, ht=b⁷s, it=ab⁸s, jt=ab⁸r, kt=b⁹r, lt=b⁹q, mt=ab¹⁰q, nt=ab¹⁰p, ot=b¹¹p, pt=b¹¹o, qt=ab²⁷, rt=b²⁶, st=ab²⁷, t²=b²⁶, b⁷u=ab⁶t, cu=ab²u, du=ab⁴u, eu=b⁵u, fu=ab⁶u, gu=ab⁶t, hu=b⁷t, iu=b⁷s, ju=ab⁸s, ku=ab⁸r, lu=b⁹r, mu=b⁹q, nu=ab¹⁰q, ou=ab¹⁰p, pu=b¹¹p, qu=b¹¹o, ru=ab²⁷, su=b²⁶, tu=ab²⁷, u²=b²⁶, b⁶v=ab⁵u, cv=ab²v, dv=ab⁴v, ev=b⁵v, fv=b⁵u, gv=ab⁶u, hv=ab⁶t, iv=b⁷t, jv=b⁷s, kv=ab⁸s, lv=ab⁸r, mv=b⁹r, nv=b⁹q, ov=ab¹⁰q, pv=ab¹⁰p, qv=b¹¹p, rv=b¹¹o, sv=ab²⁷, tv=b²⁶, uv=ab²⁷, v²=b²⁶, b⁵w=ab⁴v, cw=ab²w, dw=ab⁴w, ew=ab⁴v, fw=b⁵v, gw=b⁵u, hw=ab⁶u, iw=ab⁶t, jw=b⁷t, kw=b⁷s, lw=ab⁸s, mw=ab⁸r, nw=b⁹r, ow=b⁹q, pw=ab¹⁰q, qw=ab¹⁰p, rw=b¹¹p, sw=b¹¹o, tw=ab²⁷, uw=b²⁶, vw=ab²⁷, w²=b²⁶, b⁴x=ab³w, cx=ab²x, dx=b³w, ex=ab⁴w, fx=ab⁴v, gx=b⁵v, hx=b⁵u, ix=ab⁶u, jx=ab⁶t, kx=b⁷t, lx=b⁷s, mx=ab⁸s, nx=ab⁸r, ox=b⁹r, px=b⁹q, qx=ab¹⁰q, rx=ab¹⁰p, sx=b¹¹p, tx=b¹¹o, ux=ab²⁷, vx=b²⁶, wx=ab²⁷, x²=b²⁶, b³y=ab²x, cy=ab²y, dy=b³x, ey=b³w, fy=ab⁴w, gy=ab⁴v, hy=b⁵v, iy=b⁵u, jy=ab⁶u, ky=ab⁶t, ly=b⁷t, my=b⁷s, ny=ab⁸s, oy=ab⁸r, py=b⁹r, qy=b⁹q, ry=ab¹⁰q, sy=ab¹⁰p, ty=b¹¹p, uy=b¹¹o, vy=ab²⁷, wy=b²⁶, xy=ab²⁷, y²=b²⁶, b⁵z=by, cz=ab²z, dz=ab⁴z, ez=by, fz=ab²y, gz=ab²x, hz=b³x, iz=b³w, jz=ab⁴w, kz=ab⁴v, lz=b⁵v, mz=b⁵u, nz=ab⁶u, oz=ab⁶t, pz=b⁷t, qz=b⁷s, rz=ab⁸s, sz=ab⁸r, tz=b⁹r, uz=b⁹q, vz=ab¹⁰q, wz=ab¹⁰p, xz=b¹¹p, yz=b¹¹o, z²=b²⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, ae, bf, ag, ab²g, bh, b³h, ai, ab²i, ab⁴i, bj, b³j, b⁵j, ak, ab²k, ab⁴k, ab⁶k, bl, b³l, b⁵l, b⁷l, am, ab²m, ab⁴m, ab⁶m, ab⁸m, bn, b³n, b⁵n, b⁷n, b⁹n, ao, ab²o, ab⁴o, ab⁶o, ab⁸o, ab¹⁰o, bp, b³p, b⁵p, b⁷p, b⁹p, b¹¹p, aq, ab²q, ab⁴q, ab⁶q, ab⁸q, ab¹⁰q, br, b³r, b⁵r, b⁷r, b⁹r, as, ab²s, ab⁴s, ab⁶s, ab⁸s, bt, b³t, b⁵t, b⁷t, au, ab²u, ab⁴u, ab⁶u, bv, b³v, b⁵v, aw, ab²w, ab⁴w, bx, b³x, ay, ab²y, az, ab²z, ab⁴z}

Phi = 1 a a a a b b b b a a c c b b b³ b³ ab² ab² d d b³ b³ e e ab⁴ ab⁴ f f b⁵ b⁵ g g ab⁶ ab⁶ h h b⁷ b⁷ i i ab⁸ ab⁸ j j b⁹ b⁹ k k ab¹⁰ ab¹⁰ l l b¹¹ b¹¹ m m ab¹² ab¹² n n b¹³ b¹³ o o ab¹⁴ ab¹⁴ p p b¹⁵ b¹⁵ q q ab¹⁶ ab¹⁶ r r b¹⁷ b¹⁷ s s ab¹⁸ ab¹⁸ t t b¹⁹ b¹⁹ u u ab²⁰ ab²⁰ v v b²¹ b²¹ w w ab²² ab²² x x b²³ b²³ y y ab²⁴ ab²⁴ ab³z ab³z b²⁵ b²⁵ b²z b²z ab²⁶ ab²⁶ abz abz b²⁷ b²⁷ z z ab²⁶ ab²⁶

Monoid Structure