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 Q₄₈(0.2224):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t | a²=1, b¹⁸=b¹⁶, 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=b¹⁶, b⁵i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=b¹⁶, fi=b¹⁷, gi=b¹⁶, hi=b¹⁷, i²=b¹⁶, b⁶j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b¹⁷, fj=b¹⁶, gj=b¹⁷, hj=b¹⁶, ij=b¹⁷, j²=b¹⁶, b⁶k=b⁵j, ck=ab²k, dk=ab⁴k, ek=ab⁵j, fk=b¹⁷, gk=b¹⁶, hk=b¹⁷, ik=b¹⁶, jk=b¹⁷, k²=b¹⁶, b⁵l=b⁴k, cl=ab²l, dl=ab⁴l, el=ab⁵k, fl=ab⁵j, gl=b¹⁷, hl=b¹⁶, il=b¹⁷, jl=b¹⁶, kl=b¹⁷, l²=b¹⁶, b⁴m=b³l, cm=ab²m, dm=ab³l, em=ab⁴k, fm=ab⁵k, gm=ab⁵j, hm=b¹⁷, im=b¹⁶, jm=b¹⁷, km=b¹⁶, lm=b¹⁷, m²=b¹⁶, b³n=b²m, cn=ab²n, dn=ab³m, en=ab⁴l, fn=ab⁴k, gn=ab⁵k, hn=ab⁵j, in=b¹⁷, jn=b¹⁶, kn=b¹⁷, ln=b¹⁶, mn=b¹⁷, n²=b¹⁶, b²o=bn, co=abn, do=ab²m, eo=ab³l, fo=ab⁴l, go=ab⁴k, ho=ab⁵k, io=ab⁵j, jo=b¹⁷, ko=b¹⁶, lo=b¹⁷, mo=b¹⁶, no=b¹⁷, o²=b¹⁶, bp=o, cp=abo, dp=ab²n, ep=ab³m, fp=ab³l, gp=ab⁴l, hp=ab⁴k, ip=ab⁵k, jp=ab⁵j, kp=b¹⁷, lp=b¹⁶, mp=b¹⁷, np=b¹⁶, op=b¹⁷, p²=b¹⁶, bq=p, cq=ao, dq=abn, eq=ab²m, fq=ab³m, gq=ab³l, hq=ab⁴l, iq=ab⁴k, jq=ab⁵k, kq=ab⁵j, lq=b¹⁷, mq=b¹⁶, nq=b¹⁷, oq=b¹⁶, pq=b¹⁷, q²=b¹⁶, br=q, cr=ap, dr=abo, er=ab²n, fr=ab²m, gr=ab³m, hr=ab³l, ir=ab⁴l, jr=ab⁴k, kr=ab⁵k, lr=ab⁵j, mr=b¹⁷, nr=b¹⁶, or=b¹⁷, pr=b¹⁶, qr=b¹⁷, r²=b¹⁶, bs=r, cs=aq, ds=ao, es=abn, fs=ab²n, gs=ab²m, hs=ab³m, is=ab³l, js=ab⁴l, ks=ab⁴k, ls=ab⁵k, ms=ab⁵j, ns=b¹⁷, os=b¹⁶, ps=b¹⁷, qs=b¹⁶, rs=b¹⁷, s²=b¹⁶, bt=s, ct=ar, dt=ap, et=abo, ft=abn, gt=ab²n, ht=ab²m, it=ab³m, jt=ab³l, kt=ab⁴l, lt=ab⁴k, mt=ab⁵k, nt=ab⁵j, ot=b¹⁷, pt=b¹⁶, qt=b¹⁷, rt=b¹⁶, st=b¹⁷, t²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, 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 b¹⁶ s b¹⁷ t b¹⁶

Monoid Structure