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 Q₇₉(0.7172):

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=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=b¹⁶, b⁷j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=ab⁵j, fj=ab⁶j, gj=b¹⁷, hj=b¹⁶, ij=b¹⁷, j²=b¹⁶, b⁷k=b⁶j, ck=ab²k, dk=ab⁴k, ek=ab⁵k, fk=ab⁶k, gk=ab⁶j, hk=b¹⁷, ik=b¹⁶, jk=b¹⁷, k²=b¹⁶, b⁶l=b⁵k, cl=ab²l, dl=ab⁴l, el=ab⁵l, fl=ab⁵k, gl=ab⁶k, hl=ab⁶j, il=b¹⁷, jl=b¹⁶, kl=b¹⁷, l²=b¹⁶, b⁵m=b⁴l, cm=ab²m, dm=ab⁴m, em=ab⁴l, fm=ab⁵l, gm=ab⁵k, hm=ab⁶k, im=ab⁶j, jm=b¹⁷, km=b¹⁶, lm=b¹⁷, m²=b¹⁶, b⁴n=b³m, cn=ab²n, dn=ab³m, en=ab⁴m, fn=ab⁴l, gn=ab⁵l, hn=ab⁵k, in=ab⁶k, jn=ab⁶j, kn=b¹⁷, ln=b¹⁶, mn=b¹⁷, n²=b¹⁶, b³o=b²n, co=ab²o, do=ab³n, eo=ab³m, fo=ab⁴m, go=ab⁴l, ho=ab⁵l, io=ab⁵k, jo=ab⁶k, ko=ab⁶j, lo=b¹⁷, mo=b¹⁶, no=b¹⁷, o²=b¹⁶, b²p=bo, cp=abo, dp=ab²n, ep=ab³n, fp=ab³m, gp=ab⁴m, hp=ab⁴l, ip=ab⁵l, jp=ab⁵k, kp=ab⁶k, lp=ab⁶j, mp=b¹⁷, np=b¹⁶, op=b¹⁷, p²=b¹⁶, bq=p, cq=abp, dq=ab²o, eq=ab²n, fq=ab³n, gq=ab³m, hq=ab⁴m, iq=ab⁴l, jq=ab⁵l, kq=ab⁵k, lq=ab⁶k, mq=ab⁶j, nq=b¹⁷, oq=b¹⁶, pq=b¹⁷, q²=b¹⁶, br=q, cr=ap, dr=abo, er=ab²o, fr=ab²n, gr=ab³n, hr=ab³m, ir=ab⁴m, jr=ab⁴l, kr=ab⁵l, lr=ab⁵k, mr=ab⁶k, nr=ab⁶j, or=b¹⁷, pr=b¹⁶, qr=b¹⁷, r²=b¹⁶, bs=r, cs=aq, ds=abp, es=abo, fs=ab²o, gs=ab²n, hs=ab³n, is=ab³m, js=ab⁴m, ks=ab⁴l, ls=ab⁵l, ms=ab⁵k, ns=ab⁶k, os=ab⁶j, ps=b¹⁷, qs=b¹⁶, rs=b¹⁷, s²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, 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 b¹⁶ ab¹⁷ b¹⁶ s b¹⁷ ab¹⁶ b¹⁷

Monoid Structure