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 Q₅₆(0.3052):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t | a²=1, b¹⁰=b⁸, b⁸c=ab⁸, b⁴c²=b⁸, c³=ab²c², b⁵d=ab⁶c, cd=abc², d²=b²c², be=ac², ce=bc², de=ab²c², e²=b²c², b⁶f=b⁶c, cf=b²c², df=ab³c², ef=b³c², f²=b⁸, b²g=ab³f, cg=ab³c², dg=b⁸, eg=ab⁸, fg=ab⁹, g²=b⁸, b²h=ab³c², c²h=ab⁹, dh=abch, eh=b⁸, bfh=bch, gh=abch, h²=b⁸, b⁴i=b⁶c, ci=b⁸, di=ab⁹, ei=b⁹, fi=b⁸, gi=ab⁹, hi=b⁹, i²=b⁸, b³j=ab³i, cj=abch, dj=b⁹, ej=ab⁹, fj=ab⁸, gj=b⁹, hj=ab⁹, ij=ab⁸, j²=b⁸, b⁴k=b⁷c, bck=bch, c²k=ab⁹, dk=abch, ek=bch, fk=b⁹, gk=ab⁸, hk=b⁸, ik=b⁹, jk=ab⁹, k²=b⁸, b⁴l=ab⁹, b²cl=fh, c²l=ab⁹, bdl=afh, el=b⁸, fl=cl, gl=abcl, hl=b⁸, il=fh, jl=afh, kl=bch, l²=b⁸, bm=ack, cm=bch, dm=ab⁹, em=b⁹, fm=b⁸, gm=ab⁹, hm=b⁹, im=b⁸, jm=ab⁸, km=b⁹, lm=b⁹, m²=b⁸, b²n=am, cn=m, dn=ck, en=ack, fn=abch, gn=b⁹, hn=ab⁹, in=ab⁸, jn=b⁸, kn=ab⁹, ln=ab⁹, mn=ab⁸, n²=b⁸, b⁴o=abch, co=am, do=ack, eo=ck, fo=bch, go=ab⁹, ho=b⁹, io=b⁸, jo=ab⁸, ko=b⁹, lo=b⁹, mo=b⁸, no=ab⁸, o²=b⁸, bp=an, cp=bn, dp=m, ep=am, fp=ck, gp=abch, hp=bch, ip=b⁹, jp=ab⁹, kp=b⁸, lp=b⁸, mp=b⁹, np=ab⁹, op=b⁹, p²=b⁸, b³q=bl, b²cq=cl, c²q=ab⁹, b²dq=dl, eq=b⁸, fq=cq, gq=abcq, hq=b⁸, iq=abdq, jq=bdq, kq=adl, lq=b⁸, mq=b⁹, nq=ab⁹, oq=fh, pq=b⁸, q²=b⁸, br=ap, cr=an, dr=bn, er=abn, fr=m, gr=ck, hr=ack, ir=abch, jr=bch, kr=ab⁹, lr=ab⁹, mr=ab⁸, nr=b⁸, or=ab⁸, pr=ab⁹, qr=ab⁹, r²=b⁸, bs=ar, cs=ap, ds=an, es=n, fs=bn, gs=m, hs=am, is=ck, js=ack, ks=bch, ls=bch, ms=b⁹, ns=ab⁹, os=b⁹, ps=b⁸, qs=b⁸, rs=ab⁹, s²=b⁸, b²t=q, c²t=ab⁹, et=b⁸, ft=ct, gt=abct, ht=b⁸, it=abdt, jt=bdt, kt=adq, lt=b⁸, mt=b⁹, nt=ab⁹, ot=abdq, pt=b⁸, qt=b⁸, rt=ab⁹, st=b⁸, t²=b⁸>

P = {a, b², b⁴, b⁶, b⁸, ab²c, ab⁴c, ab⁶c, c², b²c², bd, b³d, ab²f, ab⁴f, ag, bh, ab²i, abj, k, b²k, ack, abl, b³l, adl, abn, bo, b³o, p, abq, bcq, adq, s, abt, bct, adt}

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 b²c² bj k ak l m n o b⁸ bn p ap q an r ar b⁸ ap s as t ar

Monoid Structure