Details Page for 0.3472

Complete Solution is Known:

MSV File: q-0.3472.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₄(0.3472):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a²=1, b⁴=b², b³c=bc, c³=c, bd=abc, c²d=d, d²=acd, bce=abc, de=ace, e²=b²c², b³f=bf, cf=abc, df=bc, b²ef=ef, b²f²=f², ef⁴=ab²c², f⁵=abf⁴, b²fg=fg, bcg²=bc, b³eg²=beg², ef²g²=ab²c², f³g²=abf²g², g⁴=g², bh=bc, dh=ach, fh=abc, cgh=acdg³, g³h=gh, h²=ch, bi=abc, ci=ach, di=ch, fi=bc, gi=agh, hi=ach, i²=ch, bj=bc, fj=abc, c²gj=gj, dgj=acgj, egj=ceg³, g³j=gj, c²hj=hj, ehj=cej, ghj=cgj, c²j²=j², dj²=acj², hj²=cj², ij²=acj², j³=cj², b³k=bk, bck=b²c²g, dk=ack, b²ek=ek, cek=abc²g, fk=ab²cg, gk=bc, hk=ck, ik=ack, c²jk=jk, ejk=abc²g, j²k=bcg, bk²=bc², c²k²=k², ek²=ab²c², k³=c²k, b²l=l, cl=abc, dl=bc, fl=b²c², g³l=gl, hl=abc, il=bc, jl=abc, kl=ab²cg, l²=b²c², cm=bc, dm=abc, fm=ab²c², hm=bc, im=abc, jm=bc, km=b²cg, lm=ab²c², m²=b²c², bcn=bcg, dg²n=acg²n, efg²n=bc²g, f²g²n=abfg²n, c²hn=hn, ghn=cg³n, in=ahn, c²jn=jn, gj²n=cgjn, kn=bc, b²emn=aeln, b²gmn=agln, beg²mn=abeg²ln, ef²n²=ef², f⁴n²=b²c², g²n²=b²c², gjn²=b²cg, eln²=ef³gn, gln²=abc²g, efn³=efn, b²n⁴=b²n², bfn⁴=bfn², f²n⁴=f²n², fgn⁴=fgn², hn⁴=hn², ejn⁴=ejn², j²n⁴=j²n², ln⁴=ln², n⁶=n²>

P = {a, b², ac, ac², b²c², cd, be, b³e, af, ab²f, f², aef², abf³, bef³, f⁴, cg, adg, b²eg, aceg, bfg, abefg, ag², b²g², acg², ac²g², cdg², beg², afg², f²g², cg³, adg³, b²eg³, aceg³, bfg³, abefg³, ach, gh, eij, j², g²j², bk, abek, ajk, k², abl, bel, bg²l, bm, b³m, em, ab³em, abg²m, ab³g²m, eg²m, beg³m, aen, c²en, fn, b²fn, abgn, ab³gn, begn, b³egn, aefgn, f²gn, bef²gn, af³gn, f⁴gn, abg³n, ab³g³n, ab²eg³n, fg³n, cehn, cjn, adjn, cgjn, hjn, ej²n, bgln, amn, agmn, egmn, ag³mn, eg³mn, n², b²n², c²n², acdn², ben², b³en², afn², ab²fn², f²n², abf³n², aegn², chn², acejn², j²n², bln², abmn², ab³mn², en³, c²en³, b²fn³, gn³, ab²gn³, c²gn³, acdgn³, aegn³, b³egn³, ac²egn³, abfgn³, f²gn³, af³gn³, cehn³, cjn³, adjn³, hjn³, ej²n³, ab²mn³, bgmn³, abegmn³, n⁴, c²n⁴, acdn⁴, ben⁴, afn⁴, abmn⁴, emn⁴, aen⁵, c²en⁵, fn⁵, agn⁵, acgn⁵, ac²gn⁵, cdgn⁵, begn⁵, djn⁵, amn⁵, bgmn⁵, egmn⁵}

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

Monoid Structure