Details Page for 0.7157

Complete Solution is Known:

MSV File: q-0.7157.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₇(0.7157):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a²=1, b³=b, c³=c, bd=abc, c²d=d, d²=b²c², be=ab, e²=b², bf=ab²c, cf=abc², df=bc², f²=b²c², c²g=g, dg=ab²cg, fg=abcg, g²=b²c², b²h=h, ch=ab²c, dh=b²c, eh=ah, fh=bc, gh=ab²g, h²=b²c², bi=b²c, ci=bc², di=abc², gi=bcg, hi=abc, i²=b²c², bj=ab²g, c²j=j, dj=bcg, ej=bg, fj=b²cg, gj=abc², hj=bg, ij=ab²cg, j²=b²c², bk=bg, ck=b²cg, dk=ab²cg, ek=ab²g, fk=abcg, gk=b²c², hk=ab²g, jk=abc², k²=b²c², bl=abg, cl=ab²cg, dl=b²cg, el=b²g, gl=ab²c², hl=b²g, il=abcg, jl=bc², kl=aefi, l²=b²c², bm=ab²cg, cm=abg, dm=bg, em=bcg, gm=abc, hm=bcg, im=ab²g, jm=b²c, km=abc, lm=aei, m²=b²c², b²cn=cn, c²n=b²n, dn=acn, en=ab²n, b²gn=gn, hn=ab²n, in=bcn, jn=abgn, ln=agn, fmn=kn, n²=b²c², bo=abn, c²o=o, do=cn, eo=b²n, fo=bcn, go=agn, ho=b²n, io=abcn, jo=bgn, ko=agn, lo=gn, mo=bcgn, no=ab²c², o²=b²c², bp=b²n, cp=bcn, dp=abcn, ep=abn, fp=acn, gp=bgn, hp=abn, ip=cn, jp=agn, kp=bgn, mp=acgn, np=bc², op=abc², p²=b²c², bq=bcn, cq=b²n, dq=ab²n, eq=acn, fq=abn, gq=cgn, hq=acn, iq=bn, jq=abcgn, kq=cgn, lq=acgn, mq=abgn, nq=b²c, oq=ab²c, pq=bc, q²=b²c², b²r=r, cr=ab²c, dr=b²c, er=ar, fr=bc, gr=ab²g, ir=abc, jr=bg, kr=ab²g, lr=b²g, mr=bcg, nr=ab²n, or=b²n, pr=abn, qr=acn, r²=b²c², bs=bcg, cs=b²g, ds=ab²g, es=ab²cg, fs=abg, gs=b²c, hs=ab²cg, is=bg, js=abc, ks=b²c, ls=ab²c, ms=abc², ns=cgn, os=acgn, ps=bcgn, qs=gn, rs=ab²cg, s²=b²c², bt=b²n, ct=bcn, dt=abcn, et=abn, gt=bgn, ht=abn, it=cn, jt=agn, kt=bgn, lt=abgn, mt=acgn, nt=bc², ot=abc², pt=b²c², qt=bc, rt=abn, st=bcgn, t²=b²c², bu=b²c, cu=bc², du=abc², eu=abc, fu=aefi, gu=bcg, hu=abc, iu=b²c², ju=ab²cg, ku=bcg, lu=abcg, mu=ab²g, nu=bcn, ou=abcn, pu=cn, qu=bn, ru=abc, su=bg, tu=cn, u²=b²c²>

P = {a, b², c², b²c², acd, ce, aceg, ah, ei, afi, cj, ik, kn, co, alp, aq, br, as, aft}

Phi = 1 a b a b ab a c d e d bc f b ab² g bc² h b²g aef i d j h b²c k l bc² ab²c² m ab²c² b²cg n o aef bc² bg b²g cn ab²c² bc² b²cg bc² bcg abcg p b²c bg b²g cn bc² abcg q r s b²n t u abg abn agn cn ab²g ab²c² cn ab²c² b²cg cn b²c b²cg b²g abc agn abcg aefi abg cn b²cg cn bc² abcg bcg abcg b²cg cn b²cg bc² cn abcn bn cn agn b²cg b²n bc² abcg ab²c² bc² cn b²g cn ab²c² b²cg bg ab²c² abcn abcg b²g bc² cn ab²c² bc² abcn agn b²g cn b²cg bc²

Monoid Structure