Details Page for 0.2224

Complete Solution is Known:

MSV File: q-0.2224.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₆(0.2224):

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 | a²=1, b²²=b²⁰, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, be=ab⁷, ce=b⁸, de=b¹⁰, e²=b¹², b²f=ab⁹, cf=b⁹, df=b¹¹, ef=b¹³, f²=b¹⁴, b³g=ab¹¹, cg=ab²g, dg=b¹², eg=b¹⁴, fg=b¹⁵, g²=b¹⁶, b⁴h=ab¹³, ch=ab²h, dh=b¹³, eh=b¹⁵, fh=b¹⁶, gh=b¹⁷, h²=b¹⁸, b⁵i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=b¹⁶, fi=b¹⁷, gi=b¹⁸, hi=b¹⁹, i²=b²⁰, b⁶j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b¹⁷, fj=b¹⁸, gj=b¹⁹, hj=b²⁰, ij=b²¹, j²=b²⁰, b⁷k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁶k, fk=b¹⁹, gk=b²⁰, hk=b²¹, ik=b²⁰, jk=b²¹, k²=b²⁰, b⁸l=ab²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=ab⁷l, gl=b²¹, hl=b²⁰, il=b²¹, jl=b²⁰, kl=b²¹, l²=b²⁰, b⁸m=b⁷l, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab⁷m, gm=ab⁷l, hm=b²¹, im=b²⁰, jm=b²¹, km=b²⁰, lm=b²¹, m²=b²⁰, b⁷n=b⁶m, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁶m, gn=ab⁷m, hn=ab⁷l, in=b²¹, jn=b²⁰, kn=b²¹, ln=b²⁰, mn=b²¹, n²=b²⁰, b⁶o=b⁵n, co=ab²o, do=ab⁴o, eo=ab⁵n, fo=ab⁶n, go=ab⁶m, ho=ab⁷m, io=ab⁷l, jo=b²¹, ko=b²⁰, lo=b²¹, mo=b²⁰, no=b²¹, o²=b²⁰, b⁵p=b⁴o, cp=ab²p, dp=ab⁴p, ep=ab⁵o, fp=ab⁵n, gp=ab⁶n, hp=ab⁶m, ip=ab⁷m, jp=ab⁷l, kp=b²¹, lp=b²⁰, mp=b²¹, np=b²⁰, op=b²¹, p²=b²⁰, b⁴q=b³p, cq=ab²q, dq=ab³p, eq=ab⁴o, fq=ab⁵o, gq=ab⁵n, hq=ab⁶n, iq=ab⁶m, jq=ab⁷m, kq=ab⁷l, lq=b²¹, mq=b²⁰, nq=b²¹, oq=b²⁰, pq=b²¹, q²=b²⁰, b³r=b²q, cr=ab²r, dr=ab³q, er=ab⁴p, fr=ab⁴o, gr=ab⁵o, hr=ab⁵n, ir=ab⁶n, jr=ab⁶m, kr=ab⁷m, lr=ab⁷l, mr=b²¹, nr=b²⁰, or=b²¹, pr=b²⁰, qr=b²¹, r²=b²⁰, b²s=br, cs=abr, ds=ab²q, es=ab³p, fs=ab⁴p, gs=ab⁴o, hs=ab⁵o, is=ab⁵n, js=ab⁶n, ks=ab⁶m, ls=ab⁷m, ms=ab⁷l, ns=b²¹, os=b²⁰, ps=b²¹, qs=b²⁰, rs=b²¹, s²=b²⁰, bt=s, ct=abs, dt=ab²r, et=ab³q, ft=ab³p, gt=ab⁴p, ht=ab⁴o, it=ab⁵o, jt=ab⁵n, kt=ab⁶n, lt=ab⁶m, mt=ab⁷m, nt=ab⁷l, ot=b²¹, pt=b²⁰, qt=b²¹, rt=b²⁰, st=b²¹, t²=b²⁰, bu=t, cu=as, du=abr, eu=ab²q, fu=ab³q, gu=ab³p, hu=ab⁴p, iu=ab⁴o, ju=ab⁵o, ku=ab⁵n, lu=ab⁶n, mu=ab⁶m, nu=ab⁷m, ou=ab⁷l, pu=b²¹, qu=b²⁰, ru=b²¹, su=b²⁰, tu=b²¹, u²=b²⁰, bv=u, cv=at, dv=abs, ev=ab²r, fv=ab²q, gv=ab³q, hv=ab³p, iv=ab⁴p, jv=ab⁴o, kv=ab⁵o, lv=ab⁵n, mv=ab⁶n, nv=ab⁶m, ov=ab⁷m, pv=ab⁷l, qv=b²¹, rv=b²⁰, sv=b²¹, tv=b²⁰, uv=b²¹, v²=b²⁰, bw=v, cw=au, dw=as, ew=abr, fw=ab²r, gw=ab²q, hw=ab³q, iw=ab³p, jw=ab⁴p, kw=ab⁴o, lw=ab⁵o, mw=ab⁵n, nw=ab⁶n, ow=ab⁶m, pw=ab⁷m, qw=ab⁷l, rw=b²¹, sw=b²⁰, tw=b²¹, uw=b²⁰, vw=b²¹, w²=b²⁰, bx=w, cx=av, dx=at, ex=abs, fx=abr, gx=ab²r, hx=ab²q, ix=ab³q, jx=ab³p, kx=ab⁴p, lx=ab⁴o, mx=ab⁵o, nx=ab⁵n, ox=ab⁶n, px=ab⁶m, qx=ab⁷m, rx=ab⁷l, sx=b²¹, tx=b²⁰, ux=b²¹, vx=b²⁰, wx=b²¹, x²=b²⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, af, abg, ah, ab²h, abi, ab³i, aj, ab²j, ab⁴j, abk, ab³k, ab⁵k, al, ab²l, ab⁴l, ab⁶l, abm, ab³m, ab⁵m, ab⁷m, an, ab²n, ab⁴n, ab⁶n, abo, ab³o, ab⁵o, ap, ab²p, ab⁴p, abq, ab³q, ar, ab²r, abs, at, av, ax}

Phi = 1 1 a b ab 1 a b ab 1 c b ab³ b² d b³ ab⁵ b⁴ e b⁵ f b⁶ g b⁷ h b⁸ i b⁹ j b¹⁰ k b¹¹ l b¹² m b¹³ n b¹⁴ o b¹⁵ p b¹⁶ q b¹⁷ r b¹⁸ s b¹⁹ t b²⁰ u b²¹ v b²⁰ w b²¹ x b²⁰

Monoid Structure