Details Page for 0.7551

Complete Solution is Known:

MSV File: q-0.7551.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₂(0.7551):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b¹⁶=b¹⁴, 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=b¹⁴, b⁴h=b¹³, ch=ab²h, dh=ab¹³, eh=ab¹⁵, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁴, b⁵i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=b¹⁴, fi=ab¹⁵, gi=b¹⁴, hi=ab¹⁵, i²=b¹⁴, b⁵j=ab⁴i, cj=ab²j, dj=ab⁴j, ej=ab¹⁵, fj=b¹⁴, gj=ab¹⁵, hj=b¹⁴, ij=ab¹⁵, j²=b¹⁴, b⁴k=ab³j, ck=ab²k, dk=b³j, ek=ab⁴i, fk=ab¹⁵, gk=b¹⁴, hk=ab¹⁵, ik=b¹⁴, jk=ab¹⁵, k²=b¹⁴, b³l=ab²k, cl=ab²l, dl=b³k, el=ab⁴j, fl=ab⁴i, gl=ab¹⁵, hl=b¹⁴, il=ab¹⁵, jl=b¹⁴, kl=ab¹⁵, l²=b¹⁴, b²m=abl, cm=bl, dm=ab²k, em=b³j, fm=ab⁴j, gm=ab⁴i, hm=ab¹⁵, im=b¹⁴, jm=ab¹⁵, km=b¹⁴, lm=ab¹⁵, m²=b¹⁴, bn=am, cn=bm, dn=ab²l, en=b³k, fn=b³j, gn=ab⁴j, hn=ab⁴i, in=ab¹⁵, jn=b¹⁴, kn=ab¹⁵, ln=b¹⁴, mn=ab¹⁵, n²=b¹⁴, bo=an, co=am, do=bl, eo=ab²k, fo=b³k, go=b³j, ho=ab⁴j, io=ab⁴i, jo=ab¹⁵, ko=b¹⁴, lo=ab¹⁵, mo=b¹⁴, no=ab¹⁵, o²=b¹⁴, bp=ao, cp=an, dp=bm, ep=ab²l, fp=ab²k, gp=b³k, hp=b³j, ip=ab⁴j, jp=ab⁴i, kp=ab¹⁵, lp=b¹⁴, mp=ab¹⁵, np=b¹⁴, op=ab¹⁵, p²=b¹⁴, bq=ap, cq=ao, dq=am, eq=bl, fq=ab²l, gq=ab²k, hq=b³k, iq=b³j, jq=ab⁴j, kq=ab⁴i, lq=ab¹⁵, mq=b¹⁴, nq=ab¹⁵, oq=b¹⁴, pq=ab¹⁵, q²=b¹⁴, br=aq, cr=ap, dr=an, er=bm, fr=bl, gr=ab²l, hr=ab²k, ir=b³k, jr=b³j, kr=ab⁴j, lr=ab⁴i, mr=ab¹⁵, nr=b¹⁴, or=ab¹⁵, pr=b¹⁴, qr=ab¹⁵, r²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, 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

Monoid Structure