Details Page for 0.142

Complete Solution is Known:

MSV File: q-0.142.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₆(0.142):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b⁵=b³, bc=b⁴, c²=b⁴, d²=1, b²e=ab³, ce=ab⁴, e²=b⁴, b²f=b³, cf=b⁴, ef=be, f²=b⁴, b²g=ab³, cg=ab⁴, eg=b⁴, fg=abf, g²=abg, bh=ab³, ch=ab³, eh=b³, fh=ab³, gh=b³, h²=b⁴, b²i=b³d, bei=ab³d, fi=b⁴d, bgi=ab³d, hi=ab³d, bi³=bi, ci³=ci, ei³=ei, gi³=gi, i⁴=i², b³j=b³d, cj=b³d, bgj=abfj, hj=abfj, ij=bi², j²=b⁴, b²k=bg, bek=b⁴, bfk=abf, gk=ag, cik=gi, bjk=gj, ejk=b³d, bk²=abk, ck²=ack, ek²=aek, fk²=afk, hk²=bg, ik²=aik, k³=ak², bl=ab³, cl=ab³, el=b³, fl=ab³, gl=b³, hl=b⁴, il=ab³d, kl=abe, l²=b⁴, b³m=ab³d, cm=ab³d, em=b³d, bgm=abfm, hm=abfm, bim=ab⁴, gim=b⁴, i³m=im, jm=ab⁴, bkm=gm, ikm=ei²k, k²m=akm, lm=abej, m²=b⁴, b²n=ab³, cn=ab⁴, en=b⁴, fn=bn, gn=b⁴, hn=b³, in=ab⁴d, jn=ab³d, kn=b³, ln=b³, mn=aej, n²=b⁴, bo²=b, co²=c, fo²=f, go²=g, ho²=h, io²=i, jo²=j, lo²=l, mo²=m, no²=n, o³=o, b²p=b⁴d, cp=bp, ep=abp, fp=b³d, gp=ab³d, hp=ab⁴d, i²p=p, jp=bip, kp=gi, lp=ab⁴d, mp=ab⁴, np=ab³d, o²p=p, p²=b⁴, bq=b³, cq=b³, eq=ab³, fq=b³, gq=ab³, hq=ab⁴, iq=b³d, jq=b⁴d, kq=ab⁴, lq=ab⁴, mq=bej, nq=ab³, o²q=q, pq=b⁴d, q²=b⁴, b²r=b³d, ber=ab³d, fr=abde, bgr=ab³d, hr=ab³d, eir=ei², bjr=abdej, ejr=ab⁴, gjr=ab⁴, bkr=abfj, jkr=ab³, k²r=akr, lr=ab³d, mr=im, nr=ab⁴d, eor=eio, bpr=bip, qr=b³d, br²=bir, er²=ei², gr²=ab³, i²r²=r², jr²=bi²r, ckr²=ab³, o²r²=r², kr³=ikr², pr³=ipr², r⁴=r²>

P = {a, b², b⁴, ad, abe, bf, abg, ah, adi, acdi, dgi, ai², adi², adi³, bdj, adej, abdfj, k, dk, hk, bdik, i²k, di²k, djk, ak², adk², adjk², al, djl, adm, ab²dm, adi²m, abn, abdo, acdo, deo, bdfo, bdgo, adho, aio, abdi²o, acdi²o, dei²o, dgi²o, ai³o, dko, di²ko, adei²ko, i³ko, adk²o, dlo, bdno, ao², ado², ko², dko², ak²o², adk²o², aip, abop, adiop, q, doq, adr, dgr, adi²r, jr, acdkr, dekr, aikr, abdior, adjor, dikor, di³kor, ado²r, apr, adopr, r², cdir², akr², dkor², adiopr², adr³}

Phi = 1 a 1 1 b b b a a b² ab ab c d ab² b⁴ bd e f g be b² h i ag b³ j hk k l m bk n o p q r

Monoid Structure