Details Page for 0.7172

Complete Solution is Known:

MSV File: q-0.7172.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₁(0.7172):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b¹⁶=b¹⁴, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=ab⁷, ce=b⁷, de=b⁹, e²=b¹⁰, b³f=ab⁹, cf=ab²f, df=b¹⁰, ef=b¹¹, f²=b¹², b⁴g=ab¹¹, cg=ab²g, dg=b¹¹, eg=b¹², fg=b¹³, g²=b¹⁴, b⁵h=ab¹³, ch=ab²h, dh=ab⁴h, eh=b¹³, fh=b¹⁴, gh=b¹⁵, h²=b¹⁴, b⁶i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=ab⁵i, fi=b¹⁵, gi=b¹⁴, hi=b¹⁵, i²=b¹⁴, b⁶j=b⁵i, cj=ab²j, dj=ab⁴j, ej=ab⁵j, fj=ab⁵i, gj=b¹⁵, hj=b¹⁴, ij=b¹⁵, j²=b¹⁴, b⁵k=b⁴j, ck=ab²k, dk=ab⁴k, ek=ab⁴j, fk=ab⁵j, gk=ab⁵i, hk=b¹⁵, ik=b¹⁴, jk=b¹⁵, k²=b¹⁴, b⁴l=b³k, cl=ab²l, dl=ab³k, el=ab⁴k, fl=ab⁴j, gl=ab⁵j, hl=ab⁵i, il=b¹⁵, jl=b¹⁴, kl=b¹⁵, l²=b¹⁴, b³m=b²l, cm=ab²m, dm=ab³l, em=ab³k, fm=ab⁴k, gm=ab⁴j, hm=ab⁵j, im=ab⁵i, jm=b¹⁵, km=b¹⁴, lm=b¹⁵, m²=b¹⁴, b²n=bm, cn=abm, dn=ab²l, en=ab³l, fn=ab³k, gn=ab⁴k, hn=ab⁴j, in=ab⁵j, jn=ab⁵i, kn=b¹⁵, ln=b¹⁴, mn=b¹⁵, n²=b¹⁴, bo=n, co=abn, do=ab²m, eo=ab²l, fo=ab³l, go=ab³k, ho=ab⁴k, io=ab⁴j, jo=ab⁵j, ko=ab⁵i, lo=b¹⁵, mo=b¹⁴, no=b¹⁵, o²=b¹⁴, bp=o, cp=an, dp=abm, ep=ab²m, fp=ab²l, gp=ab³l, hp=ab³k, ip=ab⁴k, jp=ab⁴j, kp=ab⁵j, lp=ab⁵i, mp=b¹⁵, np=b¹⁴, op=b¹⁵, p²=b¹⁴, bq=p, cq=ao, dq=abn, eq=abm, fq=ab²m, gq=ab²l, hq=ab³l, iq=ab³k, jq=ab⁴k, kq=ab⁴j, lq=ab⁵j, mq=ab⁵i, nq=b¹⁵, oq=b¹⁴, pq=b¹⁵, q²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, ae, abf, ag, ab²g, abh, ab³h, ai, ab²i, ab⁴i, abj, ab³j, ab⁵j, ak, ab²k, ab⁴k, abl, ab³l, am, ab²m, abn, ao, aq}

Phi = 1 a b a 1 ab 1 ab b a b c ac ab ac ab³ b³ ab² b³ d b⁴ ab³ b⁴ e b⁵ ab⁴ b⁵ f b⁶ ab⁵ b⁶ g b⁷ ab⁶ b⁷ h b⁸ ab⁷ b⁸ i b⁹ ab⁸ b⁹ j b¹⁰ ab⁹ b¹⁰ k b¹¹ ab¹⁰ b¹¹ l b¹² ab¹¹ b¹² m b¹³ ab¹² b¹³ n b¹⁴ ab¹³ b¹⁴ o b¹⁵ ab¹⁴ b¹⁵ p b¹⁴ ab¹⁵ b¹⁴ q b¹⁵ ab¹⁴ b¹⁵

Monoid Structure