Details Page for 0.7153

Complete Solution is Known:

MSV File: q-0.7153.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₇(0.7153):

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=ab⁵, cd=b⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=b⁷, e²=b⁸, b⁴f=ab⁹, cf=ab²f, df=ab³f, ef=b⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=ab³g, eg=ab⁴g, fg=b¹¹, g²=b¹², b⁶h=ab¹³, ch=ab²h, dh=ab³h, eh=ab⁴h, fh=ab⁵h, gh=b¹³, h²=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=ab³i, ei=ab⁴i, fi=ab⁵i, gi=ab⁶i, hi=b¹⁵, i²=b¹⁶, b⁸j=ab¹⁷, cj=ab²j, dj=ab³j, ej=ab⁴j, fj=ab⁵j, gj=ab⁶j, hj=ab⁷j, ij=b¹⁷, j²=b¹⁸, b⁹k=ab¹⁹, ck=ab²k, dk=ab³k, ek=ab⁴k, fk=ab⁵k, gk=ab⁶k, hk=ab⁷k, ik=ab⁸k, jk=b¹⁹, k²=b¹⁸, b⁹l=b⁸k, cl=ab²l, dl=ab³l, el=ab⁴l, fl=ab⁵l, gl=ab⁶l, hl=ab⁷l, il=ab⁸l, jl=ab⁸k, kl=b¹⁹, l²=b¹⁸, b⁸m=b⁷l, cm=ab²m, dm=ab³m, em=ab⁴m, fm=ab⁵m, gm=ab⁶m, hm=ab⁷m, im=ab⁷l, jm=ab⁸l, km=ab⁸k, lm=b¹⁹, m²=b¹⁸, b⁷n=b⁶m, cn=ab²n, dn=ab³n, en=ab⁴n, fn=ab⁵n, gn=ab⁶n, hn=ab⁶m, in=ab⁷m, jn=ab⁷l, kn=ab⁸l, ln=ab⁸k, mn=b¹⁹, n²=b¹⁸, b⁶o=b⁵n, co=ab²o, do=ab³o, eo=ab⁴o, fo=ab⁵o, go=ab⁵n, ho=ab⁶n, io=ab⁶m, jo=ab⁷m, ko=ab⁷l, lo=ab⁸l, mo=ab⁸k, no=b¹⁹, o²=b¹⁸, b⁵p=b⁴o, cp=ab²p, dp=ab³p, ep=ab⁴p, fp=ab⁴o, gp=ab⁵o, hp=ab⁵n, ip=ab⁶n, jp=ab⁶m, kp=ab⁷m, lp=ab⁷l, mp=ab⁸l, np=ab⁸k, op=b¹⁹, p²=b¹⁸, b⁴q=b³p, cq=ab²q, dq=ab³q, eq=ab³p, fq=ab⁴p, gq=ab⁴o, hq=ab⁵o, iq=ab⁵n, jq=ab⁶n, kq=ab⁶m, lq=ab⁷m, mq=ab⁷l, nq=ab⁸l, oq=ab⁸k, pq=b¹⁹, q²=b¹⁸, b³r=b²q, cr=ab²r, dr=ab²q, er=ab³q, fr=ab³p, gr=ab⁴p, hr=ab⁴o, ir=ab⁵o, jr=ab⁵n, kr=ab⁶n, lr=ab⁶m, mr=ab⁷m, nr=ab⁷l, or=ab⁸l, pr=ab⁸k, qr=b¹⁹, r²=b¹⁸, b²s=br, cs=abr, ds=ab²r, es=ab²q, fs=ab³q, gs=ab³p, hs=ab⁴p, is=ab⁴o, js=ab⁵o, ks=ab⁵n, ls=ab⁶n, ms=ab⁶m, ns=ab⁷m, os=ab⁷l, ps=ab⁸l, qs=ab⁸k, rs=b¹⁹, s²=b¹⁸, bt=s, ct=abs, dt=abr, et=ab²r, ft=ab²q, gt=ab³q, ht=ab³p, it=ab⁴p, jt=ab⁴o, kt=ab⁵o, lt=ab⁵n, mt=ab⁶n, nt=ab⁶m, ot=ab⁷m, pt=ab⁷l, qt=ab⁸l, rt=ab⁸k, st=b¹⁹, t²=b¹⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, ad, abe, af, ab²f, abg, ab³g, ah, ab²h, ab⁴h, abi, ab³i, ab⁵i, aj, ab²j, ab⁴j, ab⁶j, abk, ab³k, ab⁵k, ab⁷k, al, ab²l, ab⁴l, ab⁶l, ab⁸l, abm, ab³m, ab⁵m, ab⁷m, an, ab²n, ab⁴n, ab⁶n, abo, ab³o, ab⁵o, ap, ab²p, ab⁴p, abq, ab³q, ar, ab²r, abs, at}

Phi = 1 a b a b ab b² ab b² c b³ ab² b³ d b⁴ ab³ b⁴ e b⁵ ab⁴ b⁵ f b⁶ ab⁵ b⁶ g b⁷ ab⁶ b⁷ h b⁸ ab⁷ b⁸ i b⁹ ab⁸ b⁹ j b¹⁰ ab⁹ b¹⁰ k b¹¹ ab¹⁰ b¹¹ l b¹² ab¹¹ b¹² m b¹³ ab¹² b¹³ n b¹⁴ ab¹³ b¹⁴ o b¹⁵ ab¹⁴ b¹⁵ p b¹⁶ ab¹⁵ b¹⁶ q b¹⁷ ab¹⁶ b¹⁷ r b¹⁸ ab¹⁷ b¹⁸ s b¹⁹ ab¹⁸ b¹⁹ t b¹⁸ ab¹⁹ b¹⁸

Monoid Structure