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 Q₄₄(0.2224):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b¹⁶=b¹⁴, 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=b¹⁴, b⁴h=ab¹³, ch=ab²h, dh=b¹³, eh=b¹⁵, fh=b¹⁴, gh=b¹⁵, h²=b¹⁴, b⁵i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=b¹⁴, fi=b¹⁵, gi=b¹⁴, hi=b¹⁵, i²=b¹⁴, b⁵j=b⁴i, cj=ab²j, dj=ab⁴j, ej=b¹⁵, fj=b¹⁴, gj=b¹⁵, hj=b¹⁴, ij=b¹⁵, j²=b¹⁴, b⁴k=b³j, ck=ab²k, dk=ab³j, ek=ab⁴i, fk=b¹⁵, gk=b¹⁴, hk=b¹⁵, ik=b¹⁴, jk=b¹⁵, k²=b¹⁴, b³l=b²k, cl=ab²l, dl=ab³k, el=ab⁴j, fl=ab⁴i, gl=b¹⁵, hl=b¹⁴, il=b¹⁵, jl=b¹⁴, kl=b¹⁵, l²=b¹⁴, b²m=bl, cm=abl, dm=ab²k, em=ab³j, fm=ab⁴j, gm=ab⁴i, hm=b¹⁵, im=b¹⁴, jm=b¹⁵, km=b¹⁴, lm=b¹⁵, m²=b¹⁴, bn=m, cn=abm, dn=ab²l, en=ab³k, fn=ab³j, gn=ab⁴j, hn=ab⁴i, in=b¹⁵, jn=b¹⁴, kn=b¹⁵, ln=b¹⁴, mn=b¹⁵, n²=b¹⁴, bo=n, co=am, do=abl, eo=ab²k, fo=ab³k, go=ab³j, ho=ab⁴j, io=ab⁴i, jo=b¹⁵, ko=b¹⁴, lo=b¹⁵, mo=b¹⁴, no=b¹⁵, o²=b¹⁴, bp=o, cp=an, dp=abm, ep=ab²l, fp=ab²k, gp=ab³k, hp=ab³j, ip=ab⁴j, jp=ab⁴i, kp=b¹⁵, lp=b¹⁴, mp=b¹⁵, np=b¹⁴, op=b¹⁵, p²=b¹⁴, bq=p, cq=ao, dq=am, eq=abl, fq=ab²l, gq=ab²k, hq=ab³k, iq=ab³j, jq=ab⁴j, kq=ab⁴i, lq=b¹⁵, mq=b¹⁴, nq=b¹⁵, oq=b¹⁴, pq=b¹⁵, q²=b¹⁴, br=q, cr=ap, dr=an, er=abm, fr=abl, gr=ab²l, hr=ab²k, ir=ab³k, jr=ab³j, kr=ab⁴j, lr=ab⁴i, mr=b¹⁵, nr=b¹⁴, or=b¹⁵, pr=b¹⁴, qr=b¹⁵, r²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, 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 b¹⁴ q b¹⁵ r b¹⁴

Monoid Structure