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 Q₁₂₃(0.1141):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t | a²=1, b²⁰=b¹⁸, 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=b¹⁸, b⁹k=ab¹⁹, ck=ab²k, dk=b³k, ek=ab⁴k, fk=b⁵k, gk=ab⁶k, hk=b⁷k, ik=ab⁸k, jk=ab¹⁹, k²=b¹⁸, b⁹l=ab⁸k, cl=ab²l, dl=b³l, el=ab⁴l, fl=b⁵l, gl=ab⁶l, hl=b⁷l, il=ab⁸l, jl=ab⁸k, kl=ab¹⁹, l²=b¹⁸, b⁸m=ab⁷l, cm=ab²m, dm=b³m, em=ab⁴m, fm=b⁵m, gm=ab⁶m, hm=b⁷m, im=b⁷l, jm=ab⁸l, km=ab⁸k, lm=ab¹⁹, m²=b¹⁸, b⁷n=ab⁶m, cn=ab²n, dn=b³n, en=ab⁴n, fn=b⁵n, gn=ab⁶n, hn=ab⁶m, in=b⁷m, jn=b⁷l, kn=ab⁸l, ln=ab⁸k, mn=ab¹⁹, n²=b¹⁸, b⁶o=ab⁵n, co=ab²o, do=b³o, eo=ab⁴o, fo=b⁵o, go=b⁵n, ho=ab⁶n, io=ab⁶m, jo=b⁷m, ko=b⁷l, lo=ab⁸l, mo=ab⁸k, no=ab¹⁹, o²=b¹⁸, b⁵p=ab⁴o, cp=ab²p, dp=b³p, ep=ab⁴p, fp=ab⁴o, gp=b⁵o, hp=b⁵n, ip=ab⁶n, jp=ab⁶m, kp=b⁷m, lp=b⁷l, mp=ab⁸l, np=ab⁸k, op=ab¹⁹, p²=b¹⁸, b⁴q=ab³p, cq=ab²q, dq=b³q, eq=b³p, fq=ab⁴p, gq=ab⁴o, hq=b⁵o, iq=b⁵n, jq=ab⁶n, kq=ab⁶m, lq=b⁷m, mq=b⁷l, nq=ab⁸l, oq=ab⁸k, pq=ab¹⁹, q²=b¹⁸, b³r=ab²q, cr=ab²r, dr=ab²q, er=b³q, fr=b³p, gr=ab⁴p, hr=ab⁴o, ir=b⁵o, jr=b⁵n, kr=ab⁶n, lr=ab⁶m, mr=b⁷m, nr=b⁷l, or=ab⁸l, pr=ab⁸k, qr=ab¹⁹, r²=b¹⁸, b²s=abr, cs=br, ds=ab²r, es=ab²q, fs=b³q, gs=b³p, hs=ab⁴p, is=ab⁴o, js=b⁵o, ks=b⁵n, ls=ab⁶n, ms=ab⁶m, ns=b⁷m, os=b⁷l, ps=ab⁸l, qs=ab⁸k, rs=ab¹⁹, s²=b¹⁸, bt=as, ct=bs, dt=br, et=ab²r, ft=ab²q, gt=b³q, ht=b³p, it=ab⁴p, jt=ab⁴o, kt=b⁵o, lt=b⁵n, mt=ab⁶n, nt=ab⁶m, ot=b⁷m, pt=b⁷l, qt=ab⁸l, rt=ab⁸k, st=ab¹⁹, t²=b¹⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, ad, be, af, ab²f, bg, b³g, ah, ab²h, ab⁴h, bi, b³i, b⁵i, aj, ab²j, ab⁴j, ab⁶j, bk, b³k, b⁵k, b⁷k, al, ab²l, ab⁴l, ab⁶l, ab⁸l, bm, b³m, b⁵m, b⁷m, an, ab²n, ab⁴n, ab⁶n, bo, b³o, b⁵o, ap, ab²p, ab⁴p, bq, b³q, ar, ab²r, bs, at}

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 ab¹⁸ abr b¹⁷ b¹⁷ s r b¹⁹ abs ab¹⁸ ab¹⁸ t s ab¹⁸ s b¹⁹ b¹⁹

Monoid Structure