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 Q₅₀(0.2224):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a²=1, b¹⁹=b¹⁷, 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=b¹⁷, i²=b¹⁸, b⁶j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b¹⁷, fj=b¹⁸, gj=b¹⁷, hj=b¹⁸, ij=b¹⁷, j²=b¹⁸, b⁷k=ab¹⁷, ck=ab²k, dk=ab⁴k, ek=ab⁶k, fk=b¹⁷, gk=b¹⁸, hk=b¹⁷, ik=b¹⁸, jk=b¹⁷, k²=b¹⁸, b⁶l=b⁵k, cl=ab²l, dl=ab⁴l, el=ab⁵k, fl=ab⁶k, gl=b¹⁷, hl=b¹⁸, il=b¹⁷, jl=b¹⁸, kl=b¹⁷, l²=b¹⁸, b⁵m=b⁴l, cm=ab²m, dm=ab⁴m, em=ab⁵l, fm=ab⁵k, gm=ab⁶k, hm=b¹⁷, im=b¹⁸, jm=b¹⁷, km=b¹⁸, lm=b¹⁷, m²=b¹⁸, b⁴n=b³m, cn=ab²n, dn=ab³m, en=ab⁴l, fn=ab⁵l, gn=ab⁵k, hn=ab⁶k, in=b¹⁷, jn=b¹⁸, kn=b¹⁷, ln=b¹⁸, mn=b¹⁷, n²=b¹⁸, b³o=b²n, co=ab²o, do=ab³n, eo=ab⁴m, fo=ab⁴l, go=ab⁵l, ho=ab⁵k, io=ab⁶k, jo=b¹⁷, ko=b¹⁸, lo=b¹⁷, mo=b¹⁸, no=b¹⁷, o²=b¹⁸, b²p=bo, cp=abo, dp=ab²n, ep=ab³m, fp=ab⁴m, gp=ab⁴l, hp=ab⁵l, ip=ab⁵k, jp=ab⁶k, kp=b¹⁷, lp=b¹⁸, mp=b¹⁷, np=b¹⁸, op=b¹⁷, p²=b¹⁸, bq=p, cq=abp, dq=ab²o, eq=ab³n, fq=ab³m, gq=ab⁴m, hq=ab⁴l, iq=ab⁵l, jq=ab⁵k, kq=ab⁶k, lq=b¹⁷, mq=b¹⁸, nq=b¹⁷, oq=b¹⁸, pq=b¹⁷, q²=b¹⁸, br=q, cr=ap, dr=abo, er=ab²n, fr=ab³n, gr=ab³m, hr=ab⁴m, ir=ab⁴l, jr=ab⁵l, kr=ab⁵k, lr=ab⁶k, mr=b¹⁷, nr=b¹⁸, or=b¹⁷, pr=b¹⁸, qr=b¹⁷, r²=b¹⁸, bs=r, cs=aq, ds=abp, es=ab²o, fs=ab²n, gs=ab³n, hs=ab³m, is=ab⁴m, js=ab⁴l, ks=ab⁵l, ls=ab⁵k, ms=ab⁶k, ns=b¹⁷, os=b¹⁸, ps=b¹⁷, qs=b¹⁸, rs=b¹⁷, s²=b¹⁸, bt=s, ct=ar, dt=ap, et=abo, ft=ab²o, gt=ab²n, ht=ab³n, it=ab³m, jt=ab⁴m, kt=ab⁴l, lt=ab⁵l, mt=ab⁵k, nt=ab⁶k, ot=b¹⁷, pt=b¹⁸, qt=b¹⁷, rt=b¹⁸, st=b¹⁷, t²=b¹⁸, bu=t, cu=as, du=aq, eu=abp, fu=abo, gu=ab²o, hu=ab²n, iu=ab³n, ju=ab³m, ku=ab⁴m, lu=ab⁴l, mu=ab⁵l, nu=ab⁵k, ou=ab⁶k, pu=b¹⁷, qu=b¹⁸, ru=b¹⁷, su=b¹⁸, tu=b¹⁷, u²=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, abm, ab³m, an, ab²n, abo, ap, ar, at}

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 b¹⁷ t b¹⁸ u b¹⁷

Monoid Structure