Details Page for 0.7541

Complete Solution is Known:

MSV File: q-0.7541.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₃(0.7541):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s | a²=1, b¹⁷=b¹⁵, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, be=ab⁷, ce=b⁸, de=b¹⁰, e²=b¹², b²f=b⁹, cf=ab⁹, df=ab¹¹, ef=ab¹³, f²=b¹⁴, b³g=ab¹¹, cg=ab²g, dg=b¹², eg=b¹⁴, fg=ab¹⁵, g²=b¹⁶, b⁴h=b¹³, ch=ab²h, dh=ab¹³, eh=ab¹⁵, fh=b¹⁶, gh=ab¹⁵, h²=b¹⁶, b⁵i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=b¹⁶, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁵, i²=b¹⁶, b⁶j=b¹⁵, cj=ab²j, dj=ab⁴j, ej=ab¹⁵, fj=b¹⁶, gj=ab¹⁵, hj=b¹⁶, ij=ab¹⁵, j²=b¹⁶, b⁵k=ab⁴j, ck=ab²k, dk=ab⁴k, ek=b⁵j, fk=ab¹⁵, gk=b¹⁶, hk=ab¹⁵, ik=b¹⁶, jk=ab¹⁵, k²=b¹⁶, b⁴l=ab³k, cl=ab²l, dl=b³k, el=ab⁴j, fl=b⁵j, gl=ab¹⁵, hl=b¹⁶, il=ab¹⁵, jl=b¹⁶, kl=ab¹⁵, l²=b¹⁶, b³m=ab²l, cm=ab²m, dm=b³l, em=ab⁴k, fm=ab⁴j, gm=b⁵j, hm=ab¹⁵, im=b¹⁶, jm=ab¹⁵, km=b¹⁶, lm=ab¹⁵, m²=b¹⁶, b²n=abm, cn=bm, dn=ab²l, en=b³k, fn=ab⁴k, gn=ab⁴j, hn=b⁵j, in=ab¹⁵, jn=b¹⁶, kn=ab¹⁵, ln=b¹⁶, mn=ab¹⁵, n²=b¹⁶, bo=an, co=bn, do=ab²m, eo=b³l, fo=b³k, go=ab⁴k, ho=ab⁴j, io=b⁵j, jo=ab¹⁵, ko=b¹⁶, lo=ab¹⁵, mo=b¹⁶, no=ab¹⁵, o²=b¹⁶, bp=ao, cp=an, dp=bm, ep=ab²l, fp=b³l, gp=b³k, hp=ab⁴k, ip=ab⁴j, jp=b⁵j, kp=ab¹⁵, lp=b¹⁶, mp=ab¹⁵, np=b¹⁶, op=ab¹⁵, p²=b¹⁶, bq=ap, cq=ao, dq=bn, eq=ab²m, fq=ab²l, gq=b³l, hq=b³k, iq=ab⁴k, jq=ab⁴j, kq=b⁵j, lq=ab¹⁵, mq=b¹⁶, nq=ab¹⁵, oq=b¹⁶, pq=ab¹⁵, q²=b¹⁶, br=aq, cr=ap, dr=an, er=bm, fr=ab²m, gr=ab²l, hr=b³l, ir=b³k, jr=ab⁴k, kr=ab⁴j, lr=b⁵j, mr=ab¹⁵, nr=b¹⁶, or=ab¹⁵, pr=b¹⁶, qr=ab¹⁵, r²=b¹⁶, bs=ar, cs=aq, ds=ao, es=bn, fs=bm, gs=ab²m, hs=ab²l, is=b³l, js=b³k, ks=ab⁴k, ls=ab⁴j, ms=b⁵j, ns=ab¹⁵, os=b¹⁶, ps=ab¹⁵, qs=b¹⁶, rs=ab¹⁵, s²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, af, bg, ah, ab²h, bi, b³i, aj, ab²j, ab⁴j, bk, b³k, al, ab²l, bm, an, ap, ar}

Phi = 1 a b a b c b³ d b⁵ e f g h i j k l m n o p q r s

Monoid Structure