Details Page for 0.7325

Complete Solution is Known:

MSV File: q-0.7325.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₆(0.7325):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b⁴=b², b²c²=b², bc³=bc, c⁴=c², bd=ab³, c²d=d, d²=b², b²e=b³, c³e=ce, be³=be, e⁴=e², b²f=ab²c, df=b²c, bef=ab²c, c²ef=ef, f²=b², bg=b³c, c²g=g, fg=ab², g²=b², b²h=ab³, bc²h=bh, c³h=ch, beh=ab³, bfh=b²c, c²fh=fh, dgh=fh, h²=b², b²i=b³, c²i=i, di=ab³, ei=ce³fh, fi=ab³c, gi=b³c, hi=bh, i²=b², bj=ab³, c³j=cj, dj=b², fj=b²c, gj=ab²c, c²hj=hj, ij=ab³, j²=b², b³k=bk, c²k=k, dk=ab²k, bek=b²k, fk=ab²ck, bhk=ab²k, ehk=ab²k, ghk=abck, ik=bk, jk=ab²k, b²k²=k², ek²=bk², gk²=ck², hk²=abk², k⁴=ack³, b²l=ab³, c³l=cl, dl=b³, bcel=ae²fh, ce³l=cel, bfl=bci, c²fl=fl, efl=e³fh, gl=ab³c, hl=abe²l, il=ab², jl=abel, kl=abk, l²=b², b³m=bm, c²m=m, dm=ab²m, bem=b²m, e²m=m, fm=ab²cm, gm=b²cm, hm=abm, im=bm, jm=ab²m, b²km=km, ekm=bkm, blm=ab²m, b²m²=m², em²=bm², k²m²=k², lm²=abm², m⁴=m², b³n=bn, bc²n=bn, c³n=cn, dn=ab²n, en=bn, fn=ab²cn, gn=b²cn, hn=abn, in=bn, jn=ab²n, b²kn=kn, k³n=ck³, ln=abn, b²mn=mn, b²n²=n², c²n²=n², k²n²=k², n⁴=n², bo=abh, c³o=co, do=ab³, eo=be, fo=ab³c, go=b³c, ho=ab², io=abh, jo=ab³, ko=ahk, lo=be²l, mo=bm, no=bn, o²=b²>

P = {a, b², c², ad, e, bce, ae², c²e², ade², e³, bf, ac³f, ace²f, cg, acdg, ce²g, acde²g, abch, aceh, deh, ce³h, cde³h, cefh, acegh, e³gh, ai, acj, ace²j, ehj, ce³hj, bck, cek, egk, k², ack³, bl, bc²l, c²el, abe²l, ac²e²l, ae³l, cm, b²cm, bkm, m², bckm², cm³, bkm³, an, ab²cn, abkn, amn, abckmn, bk²mn, acm²n, am³n, abckm³n, n², bckn², cmn², m²n², ackm²n², acn³, abkn³, amn³, abckmn³, am³n³, ckm³n³}

Phi = 1 a b ab c d e f g h i j k l m n o

Monoid Structure