Details Page for 0.7072

Complete Solution is Known:

MSV File: q-0.7072.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₈(0.7072):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b¹⁰=b⁸, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=ab⁷, ce=b⁷, de=b⁹, e²=b⁸, b³f=b⁹, cf=ab²f, df=ab⁸, ef=ab⁹, f²=b⁸, b³g=ab²f, cg=ab²g, dg=b⁹, eg=b⁸, fg=ab⁹, g²=b⁸, b²h=abg, ch=bg, dh=ab²f, eh=ab⁹, fh=b⁸, gh=ab⁹, h²=b⁸, bi=ah, ci=bh, di=ab²g, ei=b²f, fi=ab⁹, gi=b⁸, hi=ab⁹, i²=b⁸, bj=ai, cj=ah, dj=bg, ej=b²g, fj=b²f, gj=ab⁹, hj=b⁸, ij=ab⁹, j²=b⁸, bk=aj, ck=ai, dk=bh, ek=abg, fk=b²g, gk=b²f, hk=ab⁹, ik=b⁸, jk=ab⁹, k²=b⁸>

P = {a, b², b⁴, b⁶, b⁸, e, abf, g, b²g, abh, i, k}

Phi = 1 a 1 a 1 b ab b ab a 1 c ac b ab b³ ab³ c b² d ad b³ ab³ b⁵ e ab⁴ b⁴ ab⁶ f b⁵ ab⁵ b⁷ g ab⁶ b⁶ ab⁸ h b⁷ ab⁷ b⁹ i ab⁸ b⁸ ab⁸ j b⁹ ab⁹ b⁹ k ab⁸ b⁸ ab⁸

Monoid Structure