Details Page for 0.7123

Complete Solution is Known:

MSV File: q-0.7123.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₀(0.7123):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a²=1, b¹⁶=b¹⁴, bc=b³, c²=b⁴, b²d=b⁵, cd=b⁵, d²=b⁶, b³e=b⁷, ce=b²e, de=b⁷, e²=b⁸, b⁴f=b⁹, cf=b²f, df=b³f, ef=b⁹, f²=b¹⁰, b⁵g=b¹¹, cg=b²g, dg=b³g, eg=b⁴g, fg=b¹¹, g²=b¹², b⁶h=b¹³, ch=b²h, dh=b³h, eh=b⁴h, fh=b⁵h, gh=b¹³, h²=b¹⁴, b⁷i=b¹⁵, ci=b²i, di=b³i, ei=b⁴i, fi=b⁵i, gi=b⁶i, hi=b¹⁵, i²=b¹⁴, b⁷j=b⁶i, cj=b²j, dj=b³j, ej=b⁴j, fj=b⁵j, gj=b⁶j, hj=b⁶i, ij=b¹⁵, j²=b¹⁴, b⁶k=b⁵j, ck=b²k, dk=b³k, ek=b⁴k, fk=b⁵k, gk=b⁵j, hk=b⁶j, ik=b⁶i, jk=b¹⁵, k²=b¹⁴, b⁵l=b⁴k, cl=b²l, dl=b³l, el=b⁴l, fl=b⁴k, gl=b⁵k, hl=b⁵j, il=b⁶j, jl=b⁶i, kl=b¹⁵, l²=b¹⁴, b⁴m=b³l, cm=b²m, dm=b³m, em=b³l, fm=b⁴l, gm=b⁴k, hm=b⁵k, im=b⁵j, jm=b⁶j, km=b⁶i, lm=b¹⁵, m²=b¹⁴, b³n=b²m, cn=b²n, dn=b²m, en=b³m, fn=b³l, gn=b⁴l, hn=b⁴k, in=b⁵k, jn=b⁵j, kn=b⁶j, ln=b⁶i, mn=b¹⁵, n²=b¹⁴, b²o=bn, co=bn, do=b²n, eo=b²m, fo=b³m, go=b³l, ho=b⁴l, io=b⁴k, jo=b⁵k, ko=b⁵j, lo=b⁶j, mo=b⁶i, no=b¹⁵, o²=b¹⁴, bp=o, cp=bo, dp=bn, ep=b²n, fp=b²m, gp=b³m, hp=b³l, ip=b⁴l, jp=b⁴k, kp=b⁵k, lp=b⁵j, mp=b⁶j, np=b⁶i, op=b¹⁵, p²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, d, be, f, b²f, bg, b³g, h, b²h, b⁴h, bi, b³i, b⁵i, j, b²j, b⁴j, b⁶j, bk, b³k, b⁵k, l, b²l, b⁴l, bm, b³m, n, b²n, bo, p}

Phi = 1 a b a b ab 1 ab c ac b ab² d ab³ b² ab³ e ab⁴ b³ ab⁴ f ab⁵ b⁴ ab⁵ g ab⁶ b⁵ ab⁶ h ab⁷ b⁶ ab⁷ i ab⁸ b⁷ ab⁸ j ab⁹ b⁸ ab⁹ k ab¹⁰ b⁹ ab¹⁰ l ab¹¹ b¹⁰ ab¹¹ m ab¹² b¹¹ ab¹² n ab¹³ b¹² ab¹³ o ab¹⁴ b¹³ ab¹⁴ p ab¹⁵ b¹⁴ ab¹⁵

Monoid Structure