Details Page for 0.7153

Complete Solution is Known:

MSV File: q-0.7153.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₇(0.7153):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b¹⁵=b¹³, bc=ab³, c²=b⁴, b²d=ab⁵, cd=b⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=b⁷, e²=b⁸, b⁴f=ab⁹, cf=ab²f, df=ab³f, ef=b⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=ab³g, eg=ab⁴g, fg=b¹¹, g²=b¹², b⁶h=ab¹³, ch=ab²h, dh=ab³h, eh=ab⁴h, fh=ab⁵h, gh=b¹³, h²=b¹⁴, b⁷i=ab¹³, ci=ab²i, di=ab³i, ei=ab⁴i, fi=ab⁵i, gi=ab⁶i, hi=b¹³, i²=b¹⁴, b⁶j=b⁵i, cj=ab²j, dj=ab³j, ej=ab⁴j, fj=ab⁵j, gj=ab⁵i, hj=ab⁶i, ij=b¹³, j²=b¹⁴, b⁵k=b⁴j, ck=ab²k, dk=ab³k, ek=ab⁴k, fk=ab⁴j, gk=ab⁵j, hk=ab⁵i, ik=ab⁶i, jk=b¹³, k²=b¹⁴, b⁴l=b³k, cl=ab²l, dl=ab³l, el=ab³k, fl=ab⁴k, gl=ab⁴j, hl=ab⁵j, il=ab⁵i, jl=ab⁶i, kl=b¹³, l²=b¹⁴, b³m=b²l, cm=ab²m, dm=ab²l, em=ab³l, fm=ab³k, gm=ab⁴k, hm=ab⁴j, im=ab⁵j, jm=ab⁵i, km=ab⁶i, lm=b¹³, m²=b¹⁴, b²n=bm, cn=abm, dn=ab²m, en=ab²l, fn=ab³l, gn=ab³k, hn=ab⁴k, in=ab⁴j, jn=ab⁵j, kn=ab⁵i, ln=ab⁶i, mn=b¹³, n²=b¹⁴, bo=n, co=abn, do=abm, eo=ab²m, fo=ab²l, go=ab³l, ho=ab³k, io=ab⁴k, jo=ab⁴j, ko=ab⁵j, lo=ab⁵i, mo=ab⁶i, no=b¹³, o²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, ad, abe, af, ab²f, abg, ab³g, ah, ab²h, ab⁴h, abi, ab³i, ab⁵i, aj, ab²j, ab⁴j, abk, ab³k, al, ab²l, abm, an}

Phi = 1 a b a b ab b² ab b² c 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 b¹³ ab¹⁴ b¹³

Monoid Structure