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 Q₅₉(0.7172):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a²=1, b¹³=b¹¹, 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=b¹², b⁴g=ab¹¹, cg=ab²g, dg=b¹¹, eg=b¹², fg=b¹¹, g²=b¹², b⁵h=ab¹¹, ch=ab²h, dh=ab⁴h, eh=b¹¹, fh=b¹², gh=b¹¹, h²=b¹², b⁴i=b³h, ci=ab²i, di=ab³h, ei=ab⁴h, fi=b¹¹, gi=b¹², hi=b¹¹, i²=b¹², b³j=b²i, cj=ab²j, dj=ab³i, ej=ab³h, fj=ab⁴h, gj=b¹¹, hj=b¹², ij=b¹¹, j²=b¹², b²k=bj, ck=abj, dk=ab²i, ek=ab³i, fk=ab³h, gk=ab⁴h, hk=b¹¹, ik=b¹², jk=b¹¹, k²=b¹², bl=k, cl=abk, dl=ab²j, el=ab²i, fl=ab³i, gl=ab³h, hl=ab⁴h, il=b¹¹, jl=b¹², kl=b¹¹, l²=b¹², bm=l, cm=ak, dm=abj, em=ab²j, fm=ab²i, gm=ab³i, hm=ab³h, im=ab⁴h, jm=b¹¹, km=b¹², lm=b¹¹, m²=b¹², bn=m, cn=al, dn=abk, en=abj, fn=ab²j, gn=ab²i, hn=ab³i, in=ab³h, jn=ab⁴h, kn=b¹¹, ln=b¹², mn=b¹¹, n²=b¹²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², 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 b¹² ab¹¹ b¹² m b¹¹ ab¹² b¹¹ n b¹² ab¹¹ b¹²

Monoid Structure