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 Q₂₃(0.1623):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a²=1, b⁴=b², bc²=b³, c³=b²c, b²d=b³c, bcd=b², cd²=bd, bd³=bd, d⁵=d³, b²e=ab², bce=ab³c, c²e=ab², bde=ab²c, cde=ab³, d³e=de, e²=b², b²f=b², bcf=bc, c²f=c², df=d, bef=be, f²=f, b²g=ab³, c²g=ab³, bd²g=cdg, beg=b², ceg=bc, deg=bd, bdg²=bd, cdg²=bd², bcg³=bcg, d²g³=d²g, 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, d⁴i=d²i, bfi=bi, cfi=ci, efi=ei, 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, bj=bd, cj=bd², dj=d², ej=de, fg³j=fgj, hj=bd², i²j=c²d, j²=d², bk=b³, ck=b²c, d²ek=ek, efk=ek, d²gk=bcgi, egk=b³, g³k=gk, ehk=ab²c, fhk=b²c, ghk=ab³c, fik=ik, dgik=bcgi, 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, fil=il, bgil=b³, g²il=abdi, hil=ab³c, bi²l=cgi², gi²l=acgi², i³l=ahi³, jl=abd², kl=abgl, l²=b², b²m=b²c, bcm=b³, c²m=b²c, dm=bd², bem=ab³c, cem=ab², bfm=b³c, cfm=cfh, efm=ab²c, bgm=em, egm=bm, g³m=gm, hm=cg²m, bim=b², cim=c²d, eim=ab³, fim=im, gim=bdgi, i³m=b³, jm=bd², km=aem, blm=cgm, clm=ab²c, elm=cg²m, flm=ab², g²lm=lm, ilm=ab³c, m²=b²>

P = {a, b², c², d², d⁴, ade, f, g, abdg, afg, ag², d²g², d⁴g², fg², g³, afg³, ch, afh, fgh, fg³h, bi, acdi, d³i, dgi, ad³gi, egi, bg²i, d³g²i, cg³i, abhi, ag³hi, i², agi², g²i², ahi², bi³, cgi³, gij, fgij, ak, d²k, d⁴k, adek, fk, dg²k, d³ik, al, gl, ag²l, afg²l, g³l, afhl, aghl, bil, aegil, m, afm, agm, fgm, g²m, ai²m, lm, aglm}

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

Monoid Structure