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 Q₁₄₁(0.1141):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v | a²=1, b²³=b²¹, 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=b²⁰, b¹⁰l=b²¹, cl=ab²l, dl=b³l, el=ab⁴l, fl=b⁵l, gl=ab⁶l, hl=b⁷l, il=ab⁸l, jl=b⁹l, kl=ab²¹, l²=b²², b¹¹m=ab²¹, cm=ab²m, dm=b³m, em=ab⁴m, fm=b⁵m, gm=ab⁶m, hm=b⁷m, im=ab⁸m, jm=b⁹m, km=ab¹⁰m, lm=ab²¹, m²=b²², b¹⁰n=ab⁹m, cn=ab²n, dn=b³n, en=ab⁴n, fn=b⁵n, gn=ab⁶n, hn=b⁷n, in=ab⁸n, jn=b⁹n, kn=b⁹m, ln=ab¹⁰m, mn=ab²¹, n²=b²², b⁹o=ab⁸n, co=ab²o, do=b³o, eo=ab⁴o, fo=b⁵o, go=ab⁶o, ho=b⁷o, io=ab⁸o, jo=ab⁸n, ko=b⁹n, lo=b⁹m, mo=ab¹⁰m, no=ab²¹, o²=b²², b⁸p=ab⁷o, cp=ab²p, dp=b³p, ep=ab⁴p, fp=b⁵p, gp=ab⁶p, hp=b⁷p, ip=b⁷o, jp=ab⁸o, kp=ab⁸n, lp=b⁹n, mp=b⁹m, np=ab¹⁰m, op=ab²¹, p²=b²², b⁷q=ab⁶p, cq=ab²q, dq=b³q, eq=ab⁴q, fq=b⁵q, gq=ab⁶q, hq=ab⁶p, iq=b⁷p, jq=b⁷o, kq=ab⁸o, lq=ab⁸n, mq=b⁹n, nq=b⁹m, oq=ab¹⁰m, pq=ab²¹, q²=b²², b⁶r=ab⁵q, cr=ab²r, dr=b³r, er=ab⁴r, fr=b⁵r, gr=b⁵q, hr=ab⁶q, ir=ab⁶p, jr=b⁷p, kr=b⁷o, lr=ab⁸o, mr=ab⁸n, nr=b⁹n, or=b⁹m, pr=ab¹⁰m, qr=ab²¹, r²=b²², b⁵s=ab⁴r, cs=ab²s, ds=b³s, es=ab⁴s, fs=ab⁴r, gs=b⁵r, hs=b⁵q, is=ab⁶q, js=ab⁶p, ks=b⁷p, ls=b⁷o, ms=ab⁸o, ns=ab⁸n, os=b⁹n, ps=b⁹m, qs=ab¹⁰m, rs=ab²¹, s²=b²², b⁴t=ab³s, ct=ab²t, dt=b³t, et=b³s, ft=ab⁴s, gt=ab⁴r, ht=b⁵r, it=b⁵q, jt=ab⁶q, kt=ab⁶p, lt=b⁷p, mt=b⁷o, nt=ab⁸o, ot=ab⁸n, pt=b⁹n, qt=b⁹m, rt=ab¹⁰m, st=ab²¹, t²=b²², b³u=ab²t, cu=ab²u, du=ab²t, eu=b³t, fu=b³s, gu=ab⁴s, hu=ab⁴r, iu=b⁵r, ju=b⁵q, ku=ab⁶q, lu=ab⁶p, mu=b⁷p, nu=b⁷o, ou=ab⁸o, pu=ab⁸n, qu=b⁹n, ru=b⁹m, su=ab¹⁰m, tu=ab²¹, u²=b²², b³v=bu, cv=ab²v, dv=bu, ev=ab²u, fv=ab²t, gv=b³t, hv=b³s, iv=ab⁴s, jv=ab⁴r, kv=b⁵r, lv=b⁵q, mv=ab⁶q, nv=ab⁶p, ov=b⁷p, pv=b⁷o, qv=ab⁸o, rv=ab⁸n, sv=b⁹n, tv=b⁹m, uv=ab¹⁰m, v²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², 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, b⁹m, an, ab²n, ab⁴n, ab⁶n, ab⁸n, bo, b³o, b⁵o, b⁷o, ap, ab²p, ab⁴p, ab⁶p, bq, b³q, b⁵q, ar, ab²r, ab⁴r, bs, b³s, at, ab²t, bu, bv}

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 ab²⁰ abt b¹⁹ b¹⁹ u t b²¹ abu ab²⁰ ab²⁰ abv u ab²² b²v b²¹ b²¹ v abv b²¹ abv ab²² ab²²

Monoid Structure