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 Q₈₇(0.1141):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a²=1, b¹⁴=b¹², 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=b¹³, ch=ab²h, dh=b³h, eh=ab⁴h, fh=b⁵h, gh=ab¹³, h²=b¹², b⁶i=ab⁵h, ci=ab²i, di=b³i, ei=ab⁴i, fi=b⁵i, gi=b⁵h, hi=ab¹³, i²=b¹², b⁵j=ab⁴i, cj=ab²j, dj=b³j, ej=ab⁴j, fj=ab⁴i, gj=b⁵i, hj=b⁵h, ij=ab¹³, j²=b¹², b⁴k=ab³j, ck=ab²k, dk=b³k, ek=b³j, fk=ab⁴j, gk=ab⁴i, hk=b⁵i, ik=b⁵h, jk=ab¹³, k²=b¹², b³l=ab²k, cl=ab²l, dl=ab²k, el=b³k, fl=b³j, gl=ab⁴j, hl=ab⁴i, il=b⁵i, jl=b⁵h, kl=ab¹³, l²=b¹², b²m=abl, cm=bl, dm=ab²l, em=ab²k, fm=b³k, gm=b³j, hm=ab⁴j, im=ab⁴i, jm=b⁵i, km=b⁵h, lm=ab¹³, m²=b¹², bn=am, cn=bm, dn=bl, en=ab²l, fn=ab²k, gn=b³k, hn=b³j, in=ab⁴j, jn=ab⁴i, kn=b⁵i, ln=b⁵h, mn=ab¹³, n²=b¹²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², ad, be, af, ab²f, bg, b³g, ah, ab²h, ab⁴h, bi, b³i, b⁵i, aj, ab²j, ab⁴j, bk, b³k, al, ab²l, bm, an}

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 b¹³ abm ab¹² ab¹² n m ab¹² m b¹³ b¹³

Monoid Structure