Details Page for 0.7042

Complete Solution is Known:

MSV File: q-0.7042.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₂(0.7042):

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=b⁹, cf=ab²f, df=ab¹⁰, ef=ab¹¹, f²=b¹², b⁴g=ab¹¹, cg=ab²g, dg=b¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=b¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁴, b⁶i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=ab⁵i, fi=ab¹⁵, gi=b¹⁴, hi=ab¹⁵, i²=b¹⁴, b⁶j=ab⁵i, cj=ab²j, dj=ab⁴j, ej=ab⁵j, fj=ab⁵i, gj=ab¹⁵, hj=b¹⁴, ij=ab¹⁵, j²=b¹⁴, b⁵k=ab⁴j, ck=ab²k, dk=ab⁴k, ek=b⁴j, fk=ab⁵j, gk=ab⁵i, hk=ab¹⁵, ik=b¹⁴, jk=ab¹⁵, k²=b¹⁴, b⁴l=ab³k, cl=ab²l, dl=b³k, el=b⁴k, fl=b⁴j, gl=ab⁵j, hl=ab⁵i, il=ab¹⁵, jl=b¹⁴, kl=ab¹⁵, l²=b¹⁴, b³m=ab²l, cm=ab²m, dm=b³l, em=ab³k, fm=b⁴k, gm=b⁴j, hm=ab⁵j, im=ab⁵i, jm=ab¹⁵, km=b¹⁴, lm=ab¹⁵, m²=b¹⁴, b²n=abm, cn=bm, dn=ab²l, en=ab³l, fn=ab³k, gn=b⁴k, hn=b⁴j, in=ab⁵j, jn=ab⁵i, kn=ab¹⁵, ln=b¹⁴, mn=ab¹⁵, n²=b¹⁴, bo=an, co=bn, do=ab²m, eo=b²l, fo=ab³l, go=ab³k, ho=b⁴k, io=b⁴j, jo=ab⁵j, ko=ab⁵i, lo=ab¹⁵, mo=b¹⁴, no=ab¹⁵, o²=b¹⁴, bp=ao, cp=an, dp=bm, ep=b²m, fp=b²l, gp=ab³l, hp=ab³k, ip=b⁴k, jp=b⁴j, kp=ab⁵j, lp=ab⁵i, mp=ab¹⁵, np=b¹⁴, op=ab¹⁵, p²=b¹⁴, bq=ap, cq=ao, dq=bn, eq=abm, fq=b²m, gq=b²l, hq=ab³l, iq=ab³k, jq=b⁴k, kq=b⁴j, lq=ab⁵j, mq=ab⁵i, nq=ab¹⁵, oq=b¹⁴, pq=ab¹⁵, q²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, e, abf, g, b²g, abh, ab³h, i, b²i, b⁴i, abj, ab³j, ab⁵j, k, b²k, b⁴k, abl, ab³l, m, b²m, abn, o, q}

Phi = 1 a 1 a 1 b ab b ab a 1 c ac b ab b³ ab³ c b² d ad b³ ab³ b⁵ e ab⁴ b⁴ ab⁶ f b⁵ ab⁵ b⁷ g ab⁶ b⁶ ab⁸ h b⁷ ab⁷ b⁹ i ab⁸ b⁸ ab¹⁰ j b⁹ ab⁹ b¹¹ k ab¹⁰ b¹⁰ ab¹² l b¹¹ ab¹¹ b¹³ m ab¹² b¹² ab¹⁴ n b¹³ ab¹³ b¹⁵ o ab¹⁴ b¹⁴ ab¹⁴ p b¹⁵ ab¹⁵ b¹⁵ q ab¹⁴ b¹⁴ ab¹⁴

Monoid Structure