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 Q₅₂(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 | a²=1, b²⁰=b¹⁸, 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=b¹⁸, b⁶j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b¹⁷, fj=b¹⁸, gj=b¹⁹, hj=b¹⁸, ij=b¹⁹, j²=b¹⁸, b⁷k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁶k, fk=b¹⁹, gk=b¹⁸, hk=b¹⁹, ik=b¹⁸, jk=b¹⁹, k²=b¹⁸, b⁷l=b⁶k, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=ab⁶k, gl=b¹⁹, hl=b¹⁸, il=b¹⁹, jl=b¹⁸, kl=b¹⁹, l²=b¹⁸, b⁶m=b⁵l, cm=ab²m, dm=ab⁴m, em=ab⁵l, fm=ab⁶l, gm=ab⁶k, hm=b¹⁹, im=b¹⁸, jm=b¹⁹, km=b¹⁸, lm=b¹⁹, m²=b¹⁸, b⁵n=b⁴m, cn=ab²n, dn=ab⁴n, en=ab⁵m, fn=ab⁵l, gn=ab⁶l, hn=ab⁶k, in=b¹⁹, jn=b¹⁸, kn=b¹⁹, ln=b¹⁸, mn=b¹⁹, n²=b¹⁸, b⁴o=b³n, co=ab²o, do=ab³n, eo=ab⁴m, fo=ab⁵m, go=ab⁵l, ho=ab⁶l, io=ab⁶k, jo=b¹⁹, ko=b¹⁸, lo=b¹⁹, mo=b¹⁸, no=b¹⁹, o²=b¹⁸, b³p=b²o, cp=ab²p, dp=ab³o, ep=ab⁴n, fp=ab⁴m, gp=ab⁵m, hp=ab⁵l, ip=ab⁶l, jp=ab⁶k, kp=b¹⁹, lp=b¹⁸, mp=b¹⁹, np=b¹⁸, op=b¹⁹, p²=b¹⁸, b²q=bp, cq=abp, dq=ab²o, eq=ab³n, fq=ab⁴n, gq=ab⁴m, hq=ab⁵m, iq=ab⁵l, jq=ab⁶l, kq=ab⁶k, lq=b¹⁹, mq=b¹⁸, nq=b¹⁹, oq=b¹⁸, pq=b¹⁹, q²=b¹⁸, br=q, cr=abq, dr=ab²p, er=ab³o, fr=ab³n, gr=ab⁴n, hr=ab⁴m, ir=ab⁵m, jr=ab⁵l, kr=ab⁶l, lr=ab⁶k, mr=b¹⁹, nr=b¹⁸, or=b¹⁹, pr=b¹⁸, qr=b¹⁹, r²=b¹⁸, bs=r, cs=aq, ds=abp, es=ab²o, fs=ab³o, gs=ab³n, hs=ab⁴n, is=ab⁴m, js=ab⁵m, ks=ab⁵l, ls=ab⁶l, ms=ab⁶k, ns=b¹⁹, os=b¹⁸, ps=b¹⁹, qs=b¹⁸, rs=b¹⁹, s²=b¹⁸, bt=s, ct=ar, dt=abq, et=ab²p, ft=ab²o, gt=ab³o, ht=ab³n, it=ab⁴n, jt=ab⁴m, kt=ab⁵m, lt=ab⁵l, mt=ab⁶l, nt=ab⁶k, ot=b¹⁹, pt=b¹⁸, qt=b¹⁹, rt=b¹⁸, st=b¹⁹, t²=b¹⁸, bu=t, cu=as, du=aq, eu=abp, fu=ab²p, gu=ab²o, hu=ab³o, iu=ab³n, ju=ab⁴n, ku=ab⁴m, lu=ab⁵m, mu=ab⁵l, nu=ab⁶l, ou=ab⁶k, pu=b¹⁹, qu=b¹⁸, ru=b¹⁹, su=b¹⁸, tu=b¹⁹, u²=b¹⁸, bv=u, cv=at, dv=ar, ev=abq, fv=abp, gv=ab²p, hv=ab²o, iv=ab³o, jv=ab³n, kv=ab⁴n, lv=ab⁴m, mv=ab⁵m, nv=ab⁵l, ov=ab⁶l, pv=ab⁶k, qv=b¹⁹, rv=b¹⁸, sv=b¹⁹, tv=b¹⁸, uv=b¹⁹, v²=b¹⁸>

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

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 b¹⁸ u b¹⁹ v b¹⁸

Monoid Structure