Details Page for 0.7052

Complete Solution is Known:

MSV File: q-0.7052.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₈(0.7052):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a²=1, b¹⁵=b¹³, 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=ab¹³, h²=b¹⁴, b⁶i=ab¹³, ci=ab²i, di=ab⁴i, ei=ab⁵i, fi=ab¹³, gi=b¹⁴, hi=ab¹³, i²=b¹⁴, b⁵j=ab⁴i, cj=ab²j, dj=ab⁴j, ej=b⁴i, fj=ab⁵i, gj=ab¹³, hj=b¹⁴, ij=ab¹³, j²=b¹⁴, b⁴k=ab³j, ck=ab²k, dk=b³j, ek=b⁴j, fk=b⁴i, gk=ab⁵i, hk=ab¹³, ik=b¹⁴, jk=ab¹³, k²=b¹⁴, b³l=ab²k, cl=ab²l, dl=b³k, el=ab³j, fl=b⁴j, gl=b⁴i, hl=ab⁵i, il=ab¹³, jl=b¹⁴, kl=ab¹³, l²=b¹⁴, b²m=abl, cm=bl, dm=ab²k, em=ab³k, fm=ab³j, gm=b⁴j, hm=b⁴i, im=ab⁵i, jm=ab¹³, km=b¹⁴, lm=ab¹³, m²=b¹⁴, bn=am, cn=bm, dn=ab²l, en=b²k, fn=ab³k, gn=ab³j, hn=b⁴j, in=b⁴i, jn=ab⁵i, kn=ab¹³, ln=b¹⁴, mn=ab¹³, n²=b¹⁴, bo=an, co=am, do=bl, eo=b²l, fo=b²k, go=ab³k, ho=ab³j, io=b⁴j, jo=b⁴i, ko=ab⁵i, lo=ab¹³, mo=b¹⁴, no=ab¹³, o²=b¹⁴, bp=ao, cp=an, dp=bm, ep=abl, fp=b²l, gp=b²k, hp=ab³k, ip=ab³j, jp=b⁴j, kp=b⁴i, lp=ab⁵i, mp=ab¹³, np=b¹⁴, op=ab¹³, p²=b¹⁴>

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

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 b¹³ o ab¹⁴ b¹⁴ ab¹⁴ p b¹³ ab¹³ b¹³

Monoid Structure