Details Page for 0.7172

Complete Solution is Known:

MSV File: q-0.7172.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₃(0.7172):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t | a²=1, b¹⁹=b¹⁷, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=ab⁷, ce=b⁷, de=b⁹, e²=b¹⁰, b³f=ab⁹, cf=ab²f, df=b¹⁰, ef=b¹¹, f²=b¹², b⁴g=ab¹¹, cg=ab²g, dg=b¹¹, eg=b¹², fg=b¹³, g²=b¹⁴, b⁵h=ab¹³, ch=ab²h, dh=ab⁴h, eh=b¹³, fh=b¹⁴, gh=b¹⁵, h²=b¹⁶, b⁶i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=ab⁵i, fi=b¹⁵, gi=b¹⁶, hi=b¹⁷, i²=b¹⁸, b⁷j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=ab⁵j, fj=ab⁶j, gj=b¹⁷, hj=b¹⁸, ij=b¹⁷, j²=b¹⁸, b⁸k=ab¹⁷, ck=ab²k, dk=ab⁴k, ek=ab⁵k, fk=ab⁶k, gk=ab⁷k, hk=b¹⁷, ik=b¹⁸, jk=b¹⁷, k²=b¹⁸, b⁷l=b⁶k, cl=ab²l, dl=ab⁴l, el=ab⁵l, fl=ab⁶l, gl=ab⁶k, hl=ab⁷k, il=b¹⁷, jl=b¹⁸, kl=b¹⁷, l²=b¹⁸, b⁶m=b⁵l, cm=ab²m, dm=ab⁴m, em=ab⁵m, fm=ab⁵l, gm=ab⁶l, hm=ab⁶k, im=ab⁷k, jm=b¹⁷, km=b¹⁸, lm=b¹⁷, m²=b¹⁸, b⁵n=b⁴m, cn=ab²n, dn=ab⁴n, en=ab⁴m, fn=ab⁵m, gn=ab⁵l, hn=ab⁶l, in=ab⁶k, jn=ab⁷k, kn=b¹⁷, ln=b¹⁸, mn=b¹⁷, n²=b¹⁸, b⁴o=b³n, co=ab²o, do=ab³n, eo=ab⁴n, fo=ab⁴m, go=ab⁵m, ho=ab⁵l, io=ab⁶l, jo=ab⁶k, ko=ab⁷k, lo=b¹⁷, mo=b¹⁸, no=b¹⁷, o²=b¹⁸, b³p=b²o, cp=ab²p, dp=ab³o, ep=ab³n, fp=ab⁴n, gp=ab⁴m, hp=ab⁵m, ip=ab⁵l, jp=ab⁶l, kp=ab⁶k, lp=ab⁷k, mp=b¹⁷, np=b¹⁸, op=b¹⁷, p²=b¹⁸, b²q=bp, cq=abp, dq=ab²o, eq=ab³o, fq=ab³n, gq=ab⁴n, hq=ab⁴m, iq=ab⁵m, jq=ab⁵l, kq=ab⁶l, lq=ab⁶k, mq=ab⁷k, nq=b¹⁷, oq=b¹⁸, pq=b¹⁷, q²=b¹⁸, br=q, cr=abq, dr=ab²p, er=ab²o, fr=ab³o, gr=ab³n, hr=ab⁴n, ir=ab⁴m, jr=ab⁵m, kr=ab⁵l, lr=ab⁶l, mr=ab⁶k, nr=ab⁷k, or=b¹⁷, pr=b¹⁸, qr=b¹⁷, r²=b¹⁸, bs=r, cs=aq, ds=abp, es=ab²p, fs=ab²o, gs=ab³o, hs=ab³n, is=ab⁴n, js=ab⁴m, ks=ab⁵m, ls=ab⁵l, ms=ab⁶l, ns=ab⁶k, os=ab⁷k, ps=b¹⁷, qs=b¹⁸, rs=b¹⁷, s²=b¹⁸, bt=s, ct=ar, dt=abq, et=abp, ft=ab²p, gt=ab²o, ht=ab³o, it=ab³n, jt=ab⁴n, kt=ab⁴m, lt=ab⁵m, mt=ab⁵l, nt=ab⁶l, ot=ab⁶k, pt=ab⁷k, qt=b¹⁷, rt=b¹⁸, st=b¹⁷, t²=b¹⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, ae, abf, ag, ab²g, abh, ab³h, ai, ab²i, ab⁴i, abj, ab³j, ab⁵j, ak, ab²k, ab⁴k, ab⁶k, abl, ab³l, ab⁵l, am, ab²m, ab⁴m, abn, ab³n, ao, ab²o, abp, aq, as}

Phi = 1 a b a 1 ab 1 ab b a b c ac ab ac ab³ 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 b¹⁷ ab¹⁸ b¹⁷ t b¹⁸ ab¹⁷ b¹⁸

Monoid Structure