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 Q₄₂(0.2224):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b¹⁵=b¹³, 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=b¹³, g²=b¹⁴, b⁴h=ab¹³, ch=ab²h, dh=b¹³, eh=b¹³, fh=b¹⁴, gh=b¹³, h²=b¹⁴, b⁵i=ab¹³, ci=ab²i, di=ab⁴i, ei=b¹⁴, fi=b¹³, gi=b¹⁴, hi=b¹³, i²=b¹⁴, b⁴j=b³i, cj=ab²j, dj=ab³i, ej=b¹³, fj=b¹⁴, gj=b¹³, hj=b¹⁴, ij=b¹³, j²=b¹⁴, b³k=b²j, ck=ab²k, dk=ab³j, ek=ab⁴i, fk=b¹³, gk=b¹⁴, hk=b¹³, ik=b¹⁴, jk=b¹³, k²=b¹⁴, b²l=bk, cl=abk, dl=ab²j, el=ab³i, fl=ab⁴i, gl=b¹³, hl=b¹⁴, il=b¹³, jl=b¹⁴, kl=b¹³, l²=b¹⁴, bm=l, cm=abl, dm=ab²k, em=ab³j, fm=ab³i, gm=ab⁴i, hm=b¹³, im=b¹⁴, jm=b¹³, km=b¹⁴, lm=b¹³, m²=b¹⁴, bn=m, cn=al, dn=abk, en=ab²j, fn=ab³j, gn=ab³i, hn=ab⁴i, in=b¹³, jn=b¹⁴, kn=b¹³, ln=b¹⁴, mn=b¹³, n²=b¹⁴, bo=n, co=am, do=abl, eo=ab²k, fo=ab²j, go=ab³j, ho=ab³i, io=ab⁴i, jo=b¹³, ko=b¹⁴, lo=b¹³, mo=b¹⁴, no=b¹³, o²=b¹⁴, bp=o, cp=an, dp=al, ep=abk, fp=ab²k, gp=ab²j, hp=ab³j, ip=ab³i, jp=ab⁴i, kp=b¹³, lp=b¹⁴, mp=b¹³, np=b¹⁴, op=b¹³, p²=b¹⁴, bq=p, cq=ao, dq=am, eq=abl, fq=abk, gq=ab²k, hq=ab²j, iq=ab³j, jq=ab³i, kq=ab⁴i, lq=b¹³, mq=b¹⁴, nq=b¹³, oq=b¹⁴, pq=b¹³, q²=b¹⁴>

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

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 b¹³ p b¹⁴ q b¹³

Monoid Structure