Details Page for 0.3052

Complete Solution is Known:

MSV File: q-0.3052.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₀(0.3052):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b⁹=b⁷, b⁶c=ab⁸, b²c²=b⁶, c³=ab⁶, b³d=ab⁴c, cd=abc², d²=b⁶, be=ac², ce=bc², de=ab⁶, e²=b⁶, b⁵f=b⁵c, cf=b⁶, df=ab⁷, ef=b⁷, f²=b⁸, b²g=ab³f, cg=ab⁷, dg=b⁸, eg=ab⁸, fg=ab⁷, g²=b⁸, b²h=ab⁷, c²h=ab⁷, dh=abch, eh=b⁸, fh=ch, gh=abch, h²=b⁸, b²i=b⁴f, ci=b⁸, di=ab⁷, ei=b⁷, fi=b⁸, gi=ab⁷, hi=b⁷, i²=b⁸, b³j=ab⁵c, cj=abch, dj=b⁷, ej=ab⁷, fj=ab⁸, gj=b⁷, hj=ab⁷, ij=ab⁸, j²=b⁸, b³k=abch, bck=bch, c²k=ab⁷, dk=abch, ek=bch, fk=b⁷, gk=ab⁸, hk=b⁸, ik=b⁷, jk=ab⁷, k²=b⁸, b⁴l=ab⁷, b²cl=ch, c²l=ab⁷, bdl=ach, el=b⁸, fl=cl, gl=abcl, hl=b⁸, il=ch, jl=ach, kl=bch, l²=b⁸, bm=ack, cm=bch, dm=ab⁷, em=b⁷, fm=b⁸, gm=ab⁷, hm=b⁷, im=b⁸, jm=ab⁸, km=b⁷, lm=b⁷, m²=b⁸, b²n=am, cn=m, dn=ck, en=ack, fn=abch, gn=b⁷, hn=ab⁷, in=ab⁸, jn=b⁸, kn=ab⁷, ln=ab⁷, mn=ab⁸, n²=b⁸, b²o=m, co=am, do=ack, eo=ck, fo=bch, go=ab⁷, ho=b⁷, io=b⁸, jo=ab⁸, ko=b⁷, lo=b⁷, mo=b⁸, no=ab⁸, o²=b⁸, bp=an, cp=bn, dp=m, ep=am, fp=ck, gp=abch, hp=bch, ip=b⁷, jp=ab⁷, kp=b⁸, lp=b⁸, mp=b⁷, np=ab⁷, op=b⁷, p²=b⁸, b²q=l, c²q=ab⁷, eq=b⁸, fq=cq, gq=abcq, hq=b⁸, iq=abdq, jq=bdq, kq=adl, lq=b⁸, mq=b⁷, nq=ab⁷, oq=ch, pq=b⁸, q²=b⁸, br=ap, cr=an, dr=bn, er=abn, fr=m, gr=ck, hr=ack, ir=abch, jr=bch, kr=ab⁷, lr=ab⁷, mr=ab⁸, nr=b⁸, or=ab⁸, pr=ab⁷, qr=ab⁷, r²=b⁸>

P = {a, b², b⁴, b⁶, b⁸, ab²c, ab⁴c, c², bd, ab²f, ab⁴f, ag, bh, abj, k, b²k, ack, abl, b³l, adl, abn, bo, p, abq, bcq, adq}

Phi = 1 a 1 a 1 b ab b ab a 1 a 1 b ab b ab c ac c b² d ad d e f af f c² g ag g h i j aj b⁶ bj k ak l m n o b⁸ bn p ap q an r ar b⁸ ap

Monoid Structure