Details Page for 0.1623

Complete Solution is Known:

MSV File: q-0.1623.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₄(0.1623):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a²=1, b⁴=b², bc²=b³, c³=b²c, b²d=b³c, bcd=b², c²d²=b², bd³=cd², cd³=bd², d⁵=d³, b²e=ab², bce=ab³c, c²e=ab², bd²e=cde, cd²e=bde, d⁴e=d²e, e²=b², b²f=b², bcf=bc, c²f=c², df=d, bef=be, f²=f, b²g=ab³, c²g=ab³, bd²g=cdg, cd²g=bdg, beg=b², ceg=bc, bcg³=bcg, bdg³=bdg, cdg³=cdg, bfg³=bfg, g⁴=g², b²h=b²c, bch=b³, c²h=b²c, dh=bd², ceh=ab², efh=eh, cgh=ab³, egh=abeh, bfgh=bcg, bg²h=bcg², h²=b², b²i=b³c, cd²i=bdi, d⁴i=d²i, bfi=bi, cfgi=cgi, efgi=egi, bg³i=bgi, chi=c²d, behi=acfh, bghi=bcgi, bci²=c²d, c²i²=b², di²=c²d, fi²=i², bgi²=abcg²i, cg²i²=b²c, eg²i²=ab², bhi²=acgi², ghi²=cgi², g²i³=b³c, i⁴=b², b²j=b³c, bcj=b², c²j=b³c, cdj=cd², d²j=d³, ej=de, bfj=bj, cfj=cj, bgj=bdg, cgj=cdg, dgj=d²g, hj=bdj, dij=d²i, i²j=c²d, bdj²=bd, fj²=j², g²j²=d²g², gij²=d²gi, bj³=bj, cj³=bdj, dj⁴=dj², j⁵=j³, bk=b³, ck=b²c, d²ek=ek, efk=ek, d²gk=bcgi, egk=b³, g³k=gk, ehk=ab²c, fhk=b²c, ghk=ab³c, fik=ik, hik=b³, i²k=b², jk=dk, k²=b², b²l=ab²c, bcl=ab³, c²l=ab²c, dl=abd², bel=abeh, cel=ch, cfl=abhi, cgl=abcgi, bfgl=b²c, efg²l=b²c, bg³l=eg²l, eg³l=bg²l, chl=ab²c, ehl=b², bfhl=ab³, fghl=abcgi, g²hl=abcg²i, cil=cgi², bgil=b³, fgil=gil, g²il=abdg²i, hil=ab³c, bi²l=cgi², gi²l=acgi², i³l=ahi³, jl=abdj, kl=abgl, l²=b², b²m=b²c, bcm=b³, c²m=b²c, dm=bd², bem=ab³c, cem=ab², bfm=b³c, cfm=cfh, efm=bde, egm=bm, bg²m=bm, g³m=gm, hm=cg²m, bim=b², cim=c²d, eim=bdei, gim=bdgi, i³m=b³, jm=bdj, km=abgm, blm=cgm, clm=ab²c, elm=cg²m, flm=ab², g²lm=lm, ilm=ab³c, m²=b², b²n=b³, bcn=b²c, c²n=b³, bd²n=cdn, bden=dek, cden=ek, bfn=bn, bgn=ad²eg³, cgn=ad³eg³, d²egn=aek, efgn=egn, d⁴g²n=d²g²n, deg²n=bcg, bhn=b²c, chn=b³, ehn=dek, ghn=ad³eg³, cefin=deik, fgin=gin, bi²n=acgi³, ci²n=b³c, gi²n=ac²di, hi²n=b³c, i³n=b²c, fjn=jn, g²jn=dg²n, gijn=dgin, cj²n=fhn, gj⁴n=gj²n, kn=aeg²n, bln=ab²c, cln=ab³, gln=d³eg³, hln=ab³, eiln=acein, i²ln=ab³c, bmn=b²c, cmn=b³, fmn=bdn, i²mn=b³c, lmn=ab³, bn²=b³, cn²=b²c, d²n²=b², en²=ab², fn²=n², gn²=eg²n, hn²=b²c, din²=afhl, i²n²=b², jn²=dn², ln²=ab²c, mn²=b²c, n³=b³>

P = {a, b², c², d², d⁴, ade, ad³e, f, g, abdg, afg, ag², d²g², d⁴g², adeg², ad³eg², fg², g³, afg³, ch, afh, fgh, fg³h, bi, acdi, d³i, dgi, ad³gi, egi, bg²i, d³g²i, cg³i, ad³g³i, abhi, ag³hi, i², agi², g²i², ahi², bi³, cgi³, dj, gij, fgij, fg³ij, j², dj³, ij³, j⁴, ak, d²k, d⁴k, adek, fk, dg²k, d³ik, al, gl, ag²l, afg²l, g³l, afhl, aghl, bil, aegil, m, afm, agm, fgm, g²m, ai²m, lm, aglm, abn, cdn, acen, cefn, adgn, ad⁴gn, degn, ag³n, ad²g³n, eg³n, afg³n, cin, bdin, acein, efin, ad³gin, adg²in, dg³in, ad³g³in, hin, bjn, agjn, abj²n, aij²n, eln, ailn, filn, emn, ag²mn, n²}

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

Monoid Structure