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 Q₁₁₁(0.1141):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b¹⁸=b¹⁶, 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=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=b³i, ei=ab⁴i, fi=b⁵i, gi=ab⁶i, hi=ab¹⁵, i²=b¹⁶, b⁸j=b¹⁷, cj=ab²j, dj=b³j, ej=ab⁴j, fj=b⁵j, gj=ab⁶j, hj=b⁷j, ij=ab¹⁷, j²=b¹⁶, b⁸k=ab⁷j, ck=ab²k, dk=b³k, ek=ab⁴k, fk=b⁵k, gk=ab⁶k, hk=b⁷k, ik=b⁷j, jk=ab¹⁷, k²=b¹⁶, b⁷l=ab⁶k, cl=ab²l, dl=b³l, el=ab⁴l, fl=b⁵l, gl=ab⁶l, hl=ab⁶k, il=b⁷k, jl=b⁷j, kl=ab¹⁷, l²=b¹⁶, b⁶m=ab⁵l, cm=ab²m, dm=b³m, em=ab⁴m, fm=b⁵m, gm=b⁵l, hm=ab⁶l, im=ab⁶k, jm=b⁷k, km=b⁷j, lm=ab¹⁷, m²=b¹⁶, b⁵n=ab⁴m, cn=ab²n, dn=b³n, en=ab⁴n, fn=ab⁴m, gn=b⁵m, hn=b⁵l, in=ab⁶l, jn=ab⁶k, kn=b⁷k, ln=b⁷j, mn=ab¹⁷, n²=b¹⁶, b⁴o=ab³n, co=ab²o, do=b³o, eo=b³n, fo=ab⁴n, go=ab⁴m, ho=b⁵m, io=b⁵l, jo=ab⁶l, ko=ab⁶k, lo=b⁷k, mo=b⁷j, no=ab¹⁷, o²=b¹⁶, b³p=ab²o, cp=ab²p, dp=ab²o, ep=b³o, fp=b³n, gp=ab⁴n, hp=ab⁴m, ip=b⁵m, jp=b⁵l, kp=ab⁶l, lp=ab⁶k, mp=b⁷k, np=b⁷j, op=ab¹⁷, p²=b¹⁶, b²q=abp, cq=bp, dq=ab²p, eq=ab²o, fq=b³o, gq=b³n, hq=ab⁴n, iq=ab⁴m, jq=b⁵m, kq=b⁵l, lq=ab⁶l, mq=ab⁶k, nq=b⁷k, oq=b⁷j, pq=ab¹⁷, q²=b¹⁶, br=aq, cr=bq, dr=bp, er=ab²p, fr=ab²o, gr=b³o, hr=b³n, ir=ab⁴n, jr=ab⁴m, kr=b⁵m, lr=b⁵l, mr=ab⁶l, nr=ab⁶k, or=b⁷k, pr=b⁷j, qr=ab¹⁷, r²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, ad, be, af, ab²f, bg, b³g, ah, ab²h, ab⁴h, bi, b³i, b⁵i, aj, ab²j, ab⁴j, ab⁶j, bk, b³k, b⁵k, b⁷k, al, ab²l, ab⁴l, ab⁶l, bm, b³m, b⁵m, an, ab²n, ab⁴n, bo, b³o, ap, ab²p, bq, ar}

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 ab¹⁴ abn b¹³ b¹³ o n b¹⁵ abo ab¹⁴ ab¹⁴ p o ab¹⁶ abp b¹⁵ b¹⁵ q p b¹⁷ abq ab¹⁶ ab¹⁶ r q ab¹⁶ q b¹⁷ b¹⁷

Monoid Structure