Details Page for 0.7241

Complete Solution is Known:

MSV File: q-0.7241.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₂(0.7241):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b¹⁷=b¹⁵, 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=ab¹⁵, i²=b¹⁶, b⁷j=b¹⁵, cj=ab²j, dj=ab⁴j, ej=ab⁵j, fj=b⁶j, gj=ab¹⁵, hj=b¹⁶, ij=ab¹⁵, j²=b¹⁶, b⁶k=ab⁵j, ck=ab²k, dk=ab⁴k, ek=ab⁵k, fk=ab⁵j, gk=b⁶j, hk=ab¹⁵, ik=b¹⁶, jk=ab¹⁵, k²=b¹⁶, b⁵l=ab⁴k, cl=ab²l, dl=ab⁴l, el=b⁴k, fl=ab⁵k, gl=ab⁵j, hl=b⁶j, il=ab¹⁵, jl=b¹⁶, kl=ab¹⁵, l²=b¹⁶, b⁴m=ab³l, cm=ab²m, dm=b³l, em=b⁴l, fm=b⁴k, gm=ab⁵k, hm=ab⁵j, im=b⁶j, jm=ab¹⁵, km=b¹⁶, lm=ab¹⁵, m²=b¹⁶, b³n=ab²m, cn=ab²n, dn=b³m, en=ab³l, fn=b⁴l, gn=b⁴k, hn=ab⁵k, in=ab⁵j, jn=b⁶j, kn=ab¹⁵, ln=b¹⁶, mn=ab¹⁵, n²=b¹⁶, b²o=abn, co=bn, do=ab²m, eo=ab³m, fo=ab³l, go=b⁴l, ho=b⁴k, io=ab⁵k, jo=ab⁵j, ko=b⁶j, lo=ab¹⁵, mo=b¹⁶, no=ab¹⁵, o²=b¹⁶, bp=ao, cp=bo, dp=ab²n, ep=b²m, fp=ab³m, gp=ab³l, hp=b⁴l, ip=b⁴k, jp=ab⁵k, kp=ab⁵j, lp=b⁶j, mp=ab¹⁵, np=b¹⁶, op=ab¹⁵, p²=b¹⁶, bq=ap, cq=ao, dq=bn, eq=b²n, fq=b²m, gq=ab³m, hq=ab³l, iq=b⁴l, jq=b⁴k, kq=ab⁵k, lq=ab⁵j, mq=b⁶j, nq=ab¹⁵, oq=b¹⁶, pq=ab¹⁵, q²=b¹⁶, br=aq, cr=ap, dr=bo, er=abn, fr=b²n, gr=b²m, hr=ab³m, ir=ab³l, jr=b⁴l, kr=b⁴k, lr=ab⁵k, mr=ab⁵j, nr=b⁶j, or=ab¹⁵, pr=b¹⁶, qr=ab¹⁵, r²=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, abl, ab³l, m, b²m, abn, o, q}

Phi = 1 a 1 b ab a 1 b ab c ac b³ ab³ d ad b⁵ e ab⁶ f b⁷ g ab⁸ h b⁹ i ab¹⁰ j b¹¹ k ab¹² l b¹³ m ab¹⁴ n b¹⁵ o ab¹⁶ p b¹⁵ q ab¹⁶ r b¹⁵

Monoid Structure