Details Page for 0.314

Complete Solution is Known:

MSV File: q-0.314.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₉(0.314):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b⁴=b², b²c=b³, c³=c, bd=b², c²d=d, d²=b², be=b², c²e=e, e²=b², bf=ab², c²f=f, f²=b², b²g²=b², bg³=bg, dg³=dg, eg³=eg, fg³=fg, g⁴=g², b²h=ab²g, c²h=h, bg²h=bh, fg²h=fh, bh²=abgh, fh²=afgh, gh²=ag²h, dh³=dh, h⁴=h², bi=ab², ci=ab², di=ab², ei=ab², fi=b², g²i=i, hi=b³g, i²=b², bj=bh, c²j=j, fj=fh, dg²j=dj, eg²j=ej, g³j=gj, hj=agh, ij=b³g, dj²=adgj, g²j²=j², j³=agj², bk=ab³, c²k=k, fk=b³, g²k=k, hk=b²g, ik=b³, j²k=agjk, k²=b², bl=b², c²l=l, dfl=ab³, dgl=b²g, fhl=b²g, eghl=ab², g²hl=ab³g, dh²l=dl, il=ab², djl=ab²g, ejl=degk, gjl=dk, j²l=dgjk, kl=cfg²l, dl²=b³, el²=aghl, fl²=ab³, gl²=b²g, hl²=ab²g, jl²=ab²g, l³=b³, bm=b², c²m=m, defm=bcgh, fg²m=fm, g³m=gm, efhm=aefgm, eghm=aeg²m, eh²m=em, im=ab², ejm=aegm, g²jm=jm, km=ek, flm=efg²l, glm=egl, jlm=degk, l²m=aghl, m²=b², b²n=ab²g, c²n=n, dn=cfgl, fn=abn, g²n=n, hn=b², in=b³g, jn=b², kn=b²g, ln=cfgl, mn=en, n²=b², b²o=b³g, defo=abc²o, cgo=b², dgo=b², ego=b², fgo=ab², g³o=go, ho=ab³, io=abg²o, jo=ab³, ko=ab³g, lo=do, mo=b²g, no=ab³, o²=b²>

P = {a, b², c, ac², acd, cf, df, g, bcg, c²g, cdg, ceg, deg, acfg, adfg, aefg, acdefg, ag², cg², ac²g², acdg², cfg², dfg², g³, c²g³, ch, dh, eh, cdeh, gh, acgh, cdgh, acfgh, adfgh, g³h, acg³h, ah², ch², acdh², ch³, eh³, aj, acdj, acej, adej, gj, acgj, cdgj, ag²j, aj², cj², gj², cegj², agk, acdgk, acegk, adegk, cgl, egl, afgl, acefgl, cg³l, hl, cehl, acjl, acm, adm, fm, cdfm, cgm, dgm, afgm, acdfgm, acg²m, adg²m, hm, cdhm, cehm, dehm, cghm, dghm, afghm, acdfghm, ach²m, adh²m, h³m, acjm, adjm, cgjm, dgjm, acj²m, cgj²m, chlm, an, acen, acgn, o, bco, c²o, cdo, ceo, deo, acfo, adfo, aefo, ago}

Phi = 1 a b b² ab² c 1 d ab² e f ab² b³ g h i b² ab³ j k b³ ab² ab³ l ab² m ab² b³ n o b³

Monoid Structure