Details Page for 0.1421

Complete Solution is Known:

MSV File: q-0.1421.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₆(0.1421):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v | a²=1, b⁵=b³, bc=b⁴, c²=b⁴, d²=1, e=bd, b²f=ab³, cf=ab⁴, f²=b⁴, b²g=b³, cg=b⁴, fg=bf, g²=b⁴, b²h=ab³, ch=ab⁴, fh=b⁴, gh=abg, h²=abh, i=b², bj=ab³, cj=ab³, fj=b³, gj=ab³, hj=b³, j²=b⁴, b²k=b³d, bfk=ab³d, gk=b⁴d, bhk=ab³d, jk=ab³d, bk³=bk, ck³=ck, fk³=fk, hk³=hk, k⁴=k², l=b³, b³m=b³d, cm=b³d, bhm=abgm, jm=abgm, km=bk², m²=b⁴, bn=b³, cn=b³, fn=ab³, gn=b³, hn=ab³, jn=ab⁴, kn=b³d, mn=bgm, n²=b⁴, b²o=bh, bfo=b⁴, bgo=abg, ho=ah, jo=n, cko=hk, bmo=hm, fmo=b³d, no=bh, bo²=abo, co²=aco, fo²=afo, go²=ago, ko²=ako, o³=ao², bp=ab³, cp=ab³, fp=b³, gp=ab³, hp=b³, jp=b⁴, kp=ab³d, np=ab⁴, op=abf, p²=b⁴, b³q=ab³d, cq=ab³d, fq=b³d, bhq=abgq, jq=abgq, bkq=ab⁴, hkq=b⁴, k³q=kq, mq=ab⁴, nq=bgq, boq=hq, koq=fk²o, o²q=aoq, pq=abfm, q²=b⁴, b²r=ab³, cr=ab⁴, fr=b⁴, gr=br, hr=b⁴, jr=b³, kr=ab⁴d, mr=ab³d, nr=ab³, or=b³, pr=b³, qr=afm, r²=b⁴, bs²=b, cs²=c, gs²=g, hs²=h, js²=j, ks²=k, ms²=m, ns²=n, ps²=p, qs²=q, rs²=r, s³=s, b²t=b⁴d, ct=bt, ft=abt, gt=b³d, ht=ab³d, jt=ab⁴d, k²t=t, mt=bkt, nt=b⁴d, ot=hk, pt=ab⁴d, qt=ab⁴, rt=ab³d, s²t=t, t²=b⁴, bu=b³, cu=b³, fu=ab³, gu=b³, hu=ab³, ju=ab⁴, ku=b³d, mu=b⁴d, nu=b⁴, ou=ab⁴, pu=ab⁴, qu=bfm, ru=ab³, s²u=u, tu=b⁴d, u²=b⁴, b²v=b³d, bfv=ab³d, gv=abdf, bhv=ab³d, jv=ab³d, fkv=fk², bmv=abdfm, fmv=ab⁴, hmv=ab⁴, nv=b³d, bov=abgm, mov=ab³, o²v=aov, pv=ab³d, qv=kq, rv=ab⁴d, fsv=fks, btv=bkt, uv=b³d, bv²=bkv, fv²=fk², hv²=ab³, k²v²=v², mv²=bk²v, cov²=ab³, s²v²=v², ov³=kov², tv³=ktv², v⁴=v²>

P = {a, b², b⁴, ad, abf, bg, abh, aj, adk, acdk, dhk, ak², adk², adk³, bdm, adfm, abdgm, n, o, do, bdko, k²o, dk²o, dmo, ao², ado², admo², ap, dmp, adq, ab²dq, adk²q, abr, abds, acds, dfs, bdgs, bdhs, adjs, aks, abdk²s, acdk²s, dfk²s, dhk²s, ak³s, dos, dk²os, adfk²os, k³os, ado²s, dps, bdrs, as², ads², os², dos², ao²s², ado²s², akt, abst, adkst, u, dsu, adv, dhv, adk²v, mv, acdov, dfov, akov, abdksv, admsv, dkosv, dk³osv, ads²v, atv, adstv, v², cdkv², aov², dosv², adkstv², adv³}

Phi = 1 a 1 1 b b b a a b² ab ab c d ab² b⁴ bd f g h bf b² j k ah b³ m n o p q bo r s t u v

Monoid Structure