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 Q₄₅(0.7153):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a²=1, b¹²=b¹⁰, 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=b¹⁰, b⁵h=b⁴g, ch=ab²h, dh=ab³h, eh=ab⁴h, fh=ab⁴g, gh=b¹¹, h²=b¹⁰, b⁴i=b³h, ci=ab²i, di=ab³i, ei=ab³h, fi=ab⁴h, gi=ab⁴g, hi=b¹¹, i²=b¹⁰, b³j=b²i, cj=ab²j, dj=ab²i, ej=ab³i, fj=ab³h, gj=ab⁴h, hj=ab⁴g, ij=b¹¹, j²=b¹⁰, b²k=bj, ck=abj, dk=ab²j, ek=ab²i, fk=ab³i, gk=ab³h, hk=ab⁴h, ik=ab⁴g, jk=b¹¹, k²=b¹⁰, bl=k, cl=abk, dl=abj, el=ab²j, fl=ab²i, gl=ab³i, hl=ab³h, il=ab⁴h, jl=ab⁴g, kl=b¹¹, l²=b¹⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, ad, abe, af, ab²f, abg, ab³g, ah, ab²h, ab⁴h, abi, ab³i, aj, ab²j, abk, al}

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 b¹⁰ ab¹¹ b¹⁰

Monoid Structure