Details Page for 0.7146

Complete Solution is Known:

MSV File: q-0.7146.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₅(0.7146):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b³=b, bc³=bc, c⁴=c², bd=ab, cd=ab²c, d²=ad, be=bc, c²e=b²c, de=ab²c, e²=b²c², bcf=abc, c³f=cf, df=ab²f, ef=ab²c, f²=b²c², c³g=cg, dg=ab²g, eg=b²cg, b²fg=fg, cfg=ab²cg, g²=b²c², ch=acg, dh=ab²h, eh=ab²cg, b²fh=fh, gh=ab²c², h²=b²c², ci=bcg, di=ab²i, ei=bcg, fi=abfh, gi=bc², hi=abc², i²=b²c², bj=abc², c²j=j, dj=b²c², ej=ab²c, gj=ab²c²g, hj=b²c²g, ij=abc²g, j²=b²c², bk=ab²i, c³k=ck, dk=bi, ek=ab²cg, gk=afj, hk=fj, ik=abc², jk=b²c²g, k²=b²c², bl=abc², c³l=cl, dl=b²c², el=ab²c, fl=fj, gl=ab²c²g, hl=b²c²g, il=abc²g, jl=b²c², kl=b²c²g, l²=b²c², b²m=m, c³m=cm, dm=am, em=cm, cfm=acm, c²gm=gm, fgm=agm, hm=agm, im=bgm, jm=ac²m, km=agm, lm=ac²m, m²=b²c², bn=ab²cg, c²n=n, dn=bcg, en=abc²g, gn=abc, hn=bc, in=ab²c, jn=bcg, kn=bc, ln=bcg, mn=abcgm, n²=b²c², co=ck, do=ab²o, eo=ab²cg, ho=ago, io=bgo, jo=b²c²g, ko=ab²go, lo=b²c²g, gmo=ac²m, no=bc, o²=b²c², bp=bgo, cp=cl, dp=ab²go, ep=ab²c, gp=ab²c²g, hp=b²c²g, ip=abc²g, jp=b²c², kp=b²c²g, lp=b²c², mp=ac²m, np=bcg, op=b²c²g, p²=b²c², cq=ab²cg, dq=ab²q, eq=ab²cg, b²gq=gq, fgq=fgo, bhq=bfgo, fhq=ab²c², iq=abc², jq=b²c²g, kq=b²c², lq=b²c²g, mq=agm, nq=bc, oq=b²c², pq=b²c²g, q²=b²c²>

P = {a, b², c², b²c², d, ae, af, ab²f, ac²f, ai, cj, ac²k, fk, c²fk, al, an, fn, fo, bgo, abmo, bfmo, ab²q, b²fq, hq}

Phi = 1 a b a 1 b bc abc b abc c b d e bc² f b²c bc abc b²c abc ace g h ab²c² abi i bc² bcg abc b²c abcg b²i j k l m n bc² b²c abcg bc² b²c o p q abc bc² abc bc²g c²m abcg acj bc² ab²c² bc²g bc² abcg abc c²m abcg b²cg ab²c²g b²cg abc²m bc² abc²m bc² abc b²c

Monoid Structure