Details Page for 0.3751

Complete Solution is Known:

MSV File: q-0.3751.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₁(0.3751):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a²=1, b⁴=b², c⁴=c², bd=ab², cd=ab³c, d²=b², be=b², ce=bc, de=ab², e²=b², b²f=b²c, cf=b²c², df=abf, ef=b³c, bf²=b³c², f⁴=f², b²g=ab³c, c³g=cg, f²g=ab³c³, bg²=bc², c²g²=g², dg²=ab³c², eg²=bc², fg²=b²c³, g³=c²g, b²ch=ch, c²h=b²c³, dh=abh, eh=b³h, bfh=bch, cgh=ab³c³, fgh=ab³c³, g²h=b²c³, bh²=b³, ch²=b²c, f²h²=f³h, gh²=ab³c, fh³=fh, h⁴=h², b²ci=ci, di=abi, ei=b³i, bfi=bci, cgi=abc²i, fgi=abc²i, g²i=c²i, b³hi=bhi, f²hi=f³i, ghi=abchi, fh²i=fi, h³i=hi, b³i²=bi², c²i²=b²i², f²i²=i², gi²=abci², hi²=fi², i⁴=i², b²j=b²c, bcj=bc², c³j=cj, dj=ab³c, ej=bj, bfj=b³c², f³j=fj, fgj=ab³c³, g²j=c²j, bhj=bch, chj=b²c³, fhj=f²j, ghj=ab³c³, h³j=hj, bij=bci, cij=c²i, gij=abc²i, h²ij=ij, bj²=bc², cj²=c²j, fj²=b²c³, gj²=cgj, hj²=b²c³, ij²=c²i, j³=c²j, b³k=bk, dk=abk, ek=bk, bfk=bck, bgk=ab²ck, fgk=abc²k, g²k=c²k, f²hk=f³k, ghk=abchk, fh²k=fk, h³k=hk, gik=abcik, h²ik=ik, bi²k=bi³, ci²k=ci³, bjk=bck, cjk=b²c²k, gjk=abc²k, h²jk=jk, j²k=b²c²k, k²=b²i², b²l=l, c²l=l, dl=abl, el=bl, fl=cl, gl=abcl, hl=cl, i²l=bi², jl=cl, l²=b²i², b²cm=cm, dm=abm, em=b³m, bfm=bcm, cgm=abc²m, fgm=abc²m, g²m=c²m, b³hm=bhm, f²hm=f³m, ghm=abchm, b³im=bim, gim=abcim, h²im=im, i²m=fi², bjm=bcm, cjm=c²m, gjm=abc²m, h²jm=jm, j²m=c²m, gkm=abckm, h²km=km, b³m²=bm², c²m²=b²i², f²m²=i², gm²=abcm², fh²m²=fm², h³m²=hm², fjm²=fi²j, lm²=bi², m³=fi²>

P = {a, b², ac, ac², b²c², ac³, f, af², f³, acg, fg, ag², h, ch, afh, af³h, gh, ah², bgi, i², b²i², abgj, ac²gj, aij, af²ij, ai³j, j², ck, c³k, bik, c²ik, f²ik, bhik, i³k, bl, cikl, cm, c³m, afm, gm, ahm, b²hm, afijm, ahijm, chikm, fhikm, hijkm, bclm, am², b²m², chm², fhm², h²m², aijm², ikm², b²ikm²}

Phi = 1 a b ab a b c d e ab² d f b³ g h i ab² j k ab² l m

Monoid Structure