Details Page for 0.2412

Complete Solution is Known:

MSV File: q-0.2412.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₄(0.2412):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a²=1, b¹⁴=b¹², 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=b¹², b⁶i=b⁵h, ci=ab²i, di=ab³i, ei=ab⁴i, fi=ab⁵i, gi=ab⁵h, hi=b¹³, i²=b¹², b⁵j=b⁴i, cj=ab²j, dj=ab³j, ej=ab⁴j, fj=ab⁴i, gj=ab⁵i, hj=ab⁵h, ij=b¹³, j²=b¹², b⁴k=b³j, ck=ab²k, dk=ab³k, ek=ab³j, fk=ab⁴j, gk=ab⁴i, hk=ab⁵i, ik=ab⁵h, jk=b¹³, k²=b¹², b³l=b²k, cl=ab²l, dl=ab²k, el=ab³k, fl=ab³j, gl=ab⁴j, hl=ab⁴i, il=ab⁵i, jl=ab⁵h, kl=b¹³, l²=b¹², b²m=bl, cm=abl, dm=ab²l, em=ab²k, fm=ab³k, gm=ab³j, hm=ab⁴j, im=ab⁴i, jm=ab⁵i, km=ab⁵h, lm=b¹³, m²=b¹², bn=m, cn=abm, dn=abl, en=ab²l, fn=ab²k, gn=ab³k, hn=ab³j, in=ab⁴j, jn=ab⁴i, kn=ab⁵i, ln=ab⁵h, mn=b¹³, n²=b¹²>

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

Phi = 1 1 a b a b ab 1 ab b² c b ab² b³ d b² ab³ b⁴ e b³ ab⁴ b⁵ f b⁴ ab⁵ b⁶ g b⁵ ab⁶ b⁷ h b⁶ ab⁷ b⁸ i b⁷ ab⁸ b⁹ j b⁸ ab⁹ b¹⁰ k b⁹ ab¹⁰ b¹¹ l b¹⁰ ab¹¹ b¹² m b¹¹ ab¹² b¹³ n b¹² ab¹³ b¹²

Monoid Structure