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 Q₅₆(0.7123):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b¹⁵=b¹³, 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=b¹³, ci=b²i, di=b³i, ei=b⁴i, fi=b⁵i, gi=b⁶i, hi=b¹³, i²=b¹⁴, b⁶j=b⁵i, cj=b²j, dj=b³j, ej=b⁴j, fj=b⁵j, gj=b⁵i, hj=b⁶i, ij=b¹³, j²=b¹⁴, b⁵k=b⁴j, ck=b²k, dk=b³k, ek=b⁴k, fk=b⁴j, gk=b⁵j, hk=b⁵i, ik=b⁶i, jk=b¹³, k²=b¹⁴, b⁴l=b³k, cl=b²l, dl=b³l, el=b³k, fl=b⁴k, gl=b⁴j, hl=b⁵j, il=b⁵i, jl=b⁶i, kl=b¹³, l²=b¹⁴, b³m=b²l, cm=b²m, dm=b²l, em=b³l, fm=b³k, gm=b⁴k, hm=b⁴j, im=b⁵j, jm=b⁵i, km=b⁶i, lm=b¹³, m²=b¹⁴, b²n=bm, cn=bm, dn=b²m, en=b²l, fn=b³l, gn=b³k, hn=b⁴k, in=b⁴j, jn=b⁵j, kn=b⁵i, ln=b⁶i, mn=b¹³, n²=b¹⁴, bo=n, co=bn, do=bm, eo=b²m, fo=b²l, go=b³l, ho=b³k, io=b⁴k, jo=b⁴j, ko=b⁵j, lo=b⁵i, mo=b⁶i, no=b¹³, o²=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, bk, b³k, l, b²l, bm, n}

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

Monoid Structure