Details Page for 0.7172

Complete Solution is Known:

MSV File: q-0.7172.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₅(0.7172):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a²=1, b¹²=b¹⁰, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=ab⁷, ce=b⁷, de=b⁹, e²=b¹⁰, b³f=ab⁹, cf=ab²f, df=b¹⁰, ef=b¹¹, f²=b¹⁰, b⁴g=ab¹¹, cg=ab²g, dg=b¹¹, eg=b¹⁰, fg=b¹¹, g²=b¹⁰, b⁴h=b³g, ch=ab²h, dh=ab³g, eh=b¹¹, fh=b¹⁰, gh=b¹¹, h²=b¹⁰, b³i=b²h, ci=ab²i, di=ab³h, ei=ab³g, fi=b¹¹, gi=b¹⁰, hi=b¹¹, i²=b¹⁰, b²j=bi, cj=abi, dj=ab²h, ej=ab³h, fj=ab³g, gj=b¹¹, hj=b¹⁰, ij=b¹¹, j²=b¹⁰, bk=j, ck=abj, dk=ab²i, ek=ab²h, fk=ab³h, gk=ab³g, hk=b¹¹, ik=b¹⁰, jk=b¹¹, k²=b¹⁰, bl=k, cl=aj, dl=abi, el=ab²i, fl=ab²h, gl=ab³h, hl=ab³g, il=b¹¹, jl=b¹⁰, kl=b¹¹, l²=b¹⁰, bm=l, cm=ak, dm=abj, em=abi, fm=ab²i, gm=ab²h, hm=ab³h, im=ab³g, jm=b¹¹, km=b¹⁰, lm=b¹¹, m²=b¹⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, ae, abf, ag, ab²g, abh, ab³h, ai, ab²i, abj, ak, am}

Phi = 1 a b a 1 ab 1 ab b a b c ac ab ac ab³ 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 m b¹¹ ab¹⁰ b¹¹

Monoid Structure