Details Page for 0.1141

Complete Solution is Known:

MSV File: q-0.1141.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₁(0.1141):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a²=1, b¹³=b¹¹, bc=ab³, c²=b⁴, b²d=b⁵, cd=ab⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=ab⁷, e²=b⁸, b⁴f=b⁹, cf=ab²f, df=b³f, ef=ab⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=b³g, eg=ab⁴g, fg=ab¹¹, g²=b¹², b⁶h=b¹¹, ch=ab²h, dh=b³h, eh=ab⁴h, fh=b⁵h, gh=ab¹¹, h²=b¹², b⁵i=ab⁴h, ci=ab²i, di=b³i, ei=ab⁴i, fi=ab⁴h, gi=b⁵h, hi=ab¹¹, i²=b¹², b⁴j=ab³i, cj=ab²j, dj=b³j, ej=b³i, fj=ab⁴i, gj=ab⁴h, hj=b⁵h, ij=ab¹¹, j²=b¹², b³k=ab²j, ck=ab²k, dk=ab²j, ek=b³j, fk=b³i, gk=ab⁴i, hk=ab⁴h, ik=b⁵h, jk=ab¹¹, k²=b¹², b²l=abk, cl=bk, dl=ab²k, el=ab²j, fl=b³j, gl=b³i, hl=ab⁴i, il=ab⁴h, jl=b⁵h, kl=ab¹¹, l²=b¹², bm=al, cm=bl, dm=bk, em=ab²k, fm=ab²j, gm=b³j, hm=b³i, im=ab⁴i, jm=ab⁴h, km=b⁵h, lm=ab¹¹, m²=b¹²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², ad, be, af, ab²f, bg, b³g, ah, ab²h, ab⁴h, bi, b³i, aj, ab²j, bk, al}

Phi = 1 a a 1 a a a b b a b b b a a b a c c b b c b b³ b³ c c d c abd abd b³ b³ e d b⁵ abe ab⁴ ab⁴ f e ab⁶ abf b⁵ b⁵ g f b⁷ abg ab⁶ ab⁶ h g ab⁸ abh b⁷ b⁷ i h b⁹ abi ab⁸ ab⁸ j i ab¹⁰ abj b⁹ b⁹ k j b¹¹ abk ab¹⁰ ab¹⁰ l k ab¹² abl b¹¹ b¹¹ m l b¹¹ l ab¹² ab¹²

Monoid Structure