Details Page for 0.7315

Complete Solution is Known:

MSV File: q-0.7315.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₁(0.7315):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b⁵=b³, b³c²=b³, c⁴=c², b²d=ab⁴, bc²d=bd, d²=b⁴, b³e=b³c, bde=ab³c, be²=b³, c³e²=ce², de²=ab⁴, e³=b⁴c, bf=b², df=bd, e²f=b³, cf²=b⁴c, ef²=b⁴c, f³=b³, bg=b²c, c³g=cg, dg=ab³c, e²g=b³c, fg=b²c, g²=b⁴, b²h=ab⁴, bdh=abd, c²dh=dh, c²eh=eh, e²h=ab⁴, fh=bh, c²gh=gh, egh=ab³, bh²=abh, dh²=adh, gh²=agh, h³=ah², b²i=b³, bc²i=bi, di=ab³, c²ei=ei, e²i=b³, fi=b⁴, c²gi=gi, egi=bcei, bhi=ab⁴, ehi=beh, ghi=ab⁴c, h²i=ahi, i²=b⁴, bj=b²c, dj=ab³c, e²j=b³c, fj=b²c, c²gj=gj, egj=ce², c²hj=hj, ehj=bceh, ghj=ab⁴, h²j=ahj, ij=gi, j²=gj, bk=bd, c²k=k, dek=deh, e²k=ab⁴, fk=bd, gk=ab³c, dhk=adk, h²k=ahk, ik=ab³, jk=ab³c, dk²=adk, ek²=ehk, hk²=ak², k³=ak², b²l=ab³, dl=b³, c²el=el, e²l=ab³, fl=bl, gl=bel, bhl=abl, chl=acl, ehl=ael, h²l=ahl, il=bl, c²jl=jl, ejl=bcel, hjl=ajl, kl=b³, l²=b⁴, b²m=b³c, bc²m=bm, c³m=cm, bdm=bel, c²dm=dm, em=abceh, fm=bm, gm=abcel, c²hm=hm, dhm=adm, h²m=ahm, bim=b³c, c²im=im, him=bel, jm=c²e², km=dm, lm=jl, m²=b⁴, b³n=ab³, dn=ab²n, ce²n=ab⁴c, f²n=e²n, hn=abl, c²in=in, ein=c²efn, gin=b²c³n, gjn=ab⁴, kn=abin, ln=b³, bmn=b²c²en, c²mn=mn, imn=b²c²en, n²=b⁴, b²o=b⁴c, bc²o=abeh, do=bel, eo=c²e², fo=bo, go=b³, bho=abo, h²o=aho, io=bo, jo=b³, ko=bel, mo=b³, bno=ab³c, c²no=bel, o²=b⁴, bp=b²n, dp=b³, cep=egn, e²p=ab³, fp=b²n, cgp=ab⁴, egp=ab⁴, hp=b³, cip=bcin, eip=b²c²en, gip=ab³c, jp=ab⁴c, kp=b³, lp=ae²n, cmp=b²c³en, imp=ab³c, np=b³, op=ab³c, p²=b⁴, b²q=b²c²n, c²q=q, dq=ab²c²n, e²q=b²c³en, f²q=ab⁴, bhq=b³, ehq=ab²c²en, ghq=b³c, h²q=bcel, iq=ab³, jq=bcq, kq=ab²c²n, lq=b³, bmq=b²c²en, hmq=b³c, nq=b⁴, oq=b²c³n, pq=b³, q²=b⁴, br=b³c, cr=gj, dr=ab⁴c, e²r=b⁴c, fr=b³c, gr=b³, hr=ab⁴c, ir=b³c, jr=b³, kr=ab⁴c, lr=ab³c, mr=b³, nr=ab⁴c, or=b⁴, pr=ab³c, qr=b²c³n, r²=b⁴>

P = {a, b², b⁴, ac, ac², b²c², ac³, ae, ace, b²ce, ac²e, ac³e, b²c³e, e², c²e², f², h, ch, c²h, c³h, eh, ceh, ah², ach², ac²h², ac³h², aeh², aceh², bi, bcei, cgi, gj, k, ck, ek, ahk, achk, aehk, ak², ack², al, acl, ac²l, ac³l, ael, acel, hl, abm, abcm, bhm, bchm, bn, bcn, bc²n, bc³n, aben, ab²cen, bc³en, fn, cfn, c²fn, c³fn, aefn, c³efn, abin, ajn, ac²jn, ac³ejn, acmn, ao, aco, ac²o, ac³o, ho, cho, c²ho, c³ho, lo, abclo, ac³lo, agp, mp, bq, bcq, beq, bceq, fq, cfq, efq, cefq, amq}

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

Monoid Structure