Details Page for 0.7042

Complete Solution is Known:

MSV File: q-0.7042.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₀(0.7042):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s | a²=1, b¹⁸=b¹⁶, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=ab⁷, ce=b⁷, de=b⁹, e²=b¹⁰, b³f=b⁹, cf=ab²f, df=ab¹⁰, ef=ab¹¹, f²=b¹², b⁴g=ab¹¹, cg=ab²g, dg=b¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=b¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁶, b⁶i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=ab⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁶, b⁷j=b¹⁷, cj=ab²j, dj=ab⁴j, ej=ab⁵j, fj=b⁶j, gj=ab¹⁷, hj=b¹⁶, ij=ab¹⁷, j²=b¹⁶, b⁷k=ab⁶j, ck=ab²k, dk=ab⁴k, ek=ab⁵k, fk=b⁶k, gk=b⁶j, hk=ab¹⁷, ik=b¹⁶, jk=ab¹⁷, k²=b¹⁶, b⁶l=ab⁵k, cl=ab²l, dl=ab⁴l, el=ab⁵l, fl=ab⁵k, gl=b⁶k, hl=b⁶j, il=ab¹⁷, jl=b¹⁶, kl=ab¹⁷, l²=b¹⁶, b⁵m=ab⁴l, cm=ab²m, dm=ab⁴m, em=b⁴l, fm=ab⁵l, gm=ab⁵k, hm=b⁶k, im=b⁶j, jm=ab¹⁷, km=b¹⁶, lm=ab¹⁷, m²=b¹⁶, b⁴n=ab³m, cn=ab²n, dn=b³m, en=b⁴m, fn=b⁴l, gn=ab⁵l, hn=ab⁵k, in=b⁶k, jn=b⁶j, kn=ab¹⁷, ln=b¹⁶, mn=ab¹⁷, n²=b¹⁶, b³o=ab²n, co=ab²o, do=b³n, eo=ab³m, fo=b⁴m, go=b⁴l, ho=ab⁵l, io=ab⁵k, jo=b⁶k, ko=b⁶j, lo=ab¹⁷, mo=b¹⁶, no=ab¹⁷, o²=b¹⁶, b²p=abo, cp=bo, dp=ab²n, ep=ab³n, fp=ab³m, gp=b⁴m, hp=b⁴l, ip=ab⁵l, jp=ab⁵k, kp=b⁶k, lp=b⁶j, mp=ab¹⁷, np=b¹⁶, op=ab¹⁷, p²=b¹⁶, bq=ap, cq=bp, dq=ab²o, eq=b²n, fq=ab³n, gq=ab³m, hq=b⁴m, iq=b⁴l, jq=ab⁵l, kq=ab⁵k, lq=b⁶k, mq=b⁶j, nq=ab¹⁷, oq=b¹⁶, pq=ab¹⁷, q²=b¹⁶, br=aq, cr=ap, dr=bo, er=b²o, fr=b²n, gr=ab³n, hr=ab³m, ir=b⁴m, jr=b⁴l, kr=ab⁵l, lr=ab⁵k, mr=b⁶k, nr=b⁶j, or=ab¹⁷, pr=b¹⁶, qr=ab¹⁷, r²=b¹⁶, bs=ar, cs=aq, ds=bp, es=abo, fs=b²o, gs=b²n, hs=ab³n, is=ab³m, js=b⁴m, ks=b⁴l, ls=ab⁵l, ms=ab⁵k, ns=b⁶k, os=b⁶j, ps=ab¹⁷, qs=b¹⁶, rs=ab¹⁷, s²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, e, abf, g, b²g, abh, ab³h, i, b²i, b⁴i, abj, ab³j, ab⁵j, k, b²k, b⁴k, b⁶k, abl, ab³l, ab⁵l, m, b²m, b⁴m, abn, ab³n, o, b²o, abp, q, s}

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

Monoid Structure