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 Q₄₆(0.2224):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s | a²=1, b¹⁷=b¹⁵, 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=b¹⁵, h²=b¹⁶, b⁵i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=b¹⁶, fi=b¹⁵, gi=b¹⁶, hi=b¹⁵, i²=b¹⁶, b⁶j=ab¹⁵, cj=ab²j, dj=ab⁴j, ej=b¹⁵, fj=b¹⁶, gj=b¹⁵, hj=b¹⁶, ij=b¹⁵, j²=b¹⁶, b⁵k=b⁴j, ck=ab²k, dk=ab⁴k, ek=ab⁵j, fk=b¹⁵, gk=b¹⁶, hk=b¹⁵, ik=b¹⁶, jk=b¹⁵, k²=b¹⁶, b⁴l=b³k, cl=ab²l, dl=ab³k, el=ab⁴j, fl=ab⁵j, gl=b¹⁵, hl=b¹⁶, il=b¹⁵, jl=b¹⁶, kl=b¹⁵, l²=b¹⁶, b³m=b²l, cm=ab²m, dm=ab³l, em=ab⁴k, fm=ab⁴j, gm=ab⁵j, hm=b¹⁵, im=b¹⁶, jm=b¹⁵, km=b¹⁶, lm=b¹⁵, m²=b¹⁶, b²n=bm, cn=abm, dn=ab²l, en=ab³k, fn=ab⁴k, gn=ab⁴j, hn=ab⁵j, in=b¹⁵, jn=b¹⁶, kn=b¹⁵, ln=b¹⁶, mn=b¹⁵, n²=b¹⁶, bo=n, co=abn, do=ab²m, eo=ab³l, fo=ab³k, go=ab⁴k, ho=ab⁴j, io=ab⁵j, jo=b¹⁵, ko=b¹⁶, lo=b¹⁵, mo=b¹⁶, no=b¹⁵, o²=b¹⁶, bp=o, cp=an, dp=abm, ep=ab²l, fp=ab³l, gp=ab³k, hp=ab⁴k, ip=ab⁴j, jp=ab⁵j, kp=b¹⁵, lp=b¹⁶, mp=b¹⁵, np=b¹⁶, op=b¹⁵, p²=b¹⁶, bq=p, cq=ao, dq=abn, eq=ab²m, fq=ab²l, gq=ab³l, hq=ab³k, iq=ab⁴k, jq=ab⁴j, kq=ab⁵j, lq=b¹⁵, mq=b¹⁶, nq=b¹⁵, oq=b¹⁶, pq=b¹⁵, q²=b¹⁶, br=q, cr=ap, dr=an, er=abm, fr=ab²m, gr=ab²l, hr=ab³l, ir=ab³k, jr=ab⁴k, kr=ab⁴j, lr=ab⁵j, mr=b¹⁵, nr=b¹⁶, or=b¹⁵, pr=b¹⁶, qr=b¹⁵, r²=b¹⁶, bs=r, cs=aq, ds=ao, es=abn, fs=abm, gs=ab²m, hs=ab²l, is=ab³l, js=ab³k, ks=ab⁴k, ls=ab⁴j, ms=ab⁵j, ns=b¹⁵, os=b¹⁶, ps=b¹⁵, qs=b¹⁶, rs=b¹⁵, s²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, af, abg, ah, ab²h, abi, ab³i, aj, ab²j, ab⁴j, abk, ab³k, al, ab²l, abm, an, ap, ar}

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 b¹⁵ r b¹⁶ s b¹⁵

Monoid Structure