Details Page for 0.7266

Complete Solution is Known:

MSV File: q-0.7266.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₁₄(0.7266):

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, b⁴=b², b³c=bc, bc²=b³, c⁴=c², bd=abc, c²d=ac³, d³=d, b³e=be, be²=b³, e³=e, bf=abc, c²f=ab²c, cf²=cdf, df³=d²f², f⁴=f², bg=abe, c²g=ab²e, e²g=g, dfg=ab²e, f²g=ab²e, g²=aeg, bh=ab³, ch=ab²c, dh=acd²eg, e²h=h, f³h=fh, gh=cdg, h²=b², b²i=bce, bci=b²e, c²i=bce, cd²i=ci, ei=bc, cfi=cdi, d²fi=fi, f²i=dfi, gi=abc, hi=abce, bi²=b, fi²=di², ci³=ci, di³=fi, i⁴=i², bj=abc, c²j=ab²c, cfj=cdj, defj=d²ej, df²j=d²fj, f³j=fj, gj=fg, f²hj=hj, d²ij=ij, fij=dij, i³j=ij, j²=b², bk=abe, cd²k=ck, e²k=k, f²k=dfk, gk=b², fhk=ab²ce, ik=abc, jk=b²ce, k²=b², bl=be, cl=b²ce, d²l=l, el=b², fl=ab²ce, gl=ab², hl=ab²e, il=bc, jl=ab²ce, kl=ab², l²=b², b²m=ab²ce, cm=ab²e, dm=b²e, em=ab²c, fm=b²e, gm=b²c, hm=b²ce, i²m=m, jm=b²e, km=b²c, lm=ab²c, m²=b², b³n=bn, b²cn=cn, c²n=b²n, dn=acn, e²n=n, cfn=ab²n, f²n=n, gn=ab²en, hn=ab²n, in=bcen, cjn=ab²n, kn=ab²en, ln=b²en, mn=acen, n²=b², bo=abc, co=ab², do=b², e²o=o, go=b²ce, ho=b²c, io=abe, jo=afhj, ko=b²ce, lo=ab²ce, mo=b²e, no=acn, o²=b², bp=be, c²p=p, dp=acp, e²p=p, fp=ab²ce, gp=ab², hp=ab²e, ip=bc, jp=ab²ce, lp=b², mp=ab²c, np=b²en, op=ab²ce, p²=b², bq=bcn, c²q=q, dq=acq, e²q=q, fq=ab²n, gq=acen, hq=acn, iq=ben, jq=ab²n, lq=cen, mq=ab²en, nq=b²c, oq=ab²n, pq=cen, q²=b², br=bn, c²r=r, dr=acr, e²r=r, fr=acn, gr=ab²en, hr=ab²n, ir=bcen, jr=acn, lr=b²en, mr=acen, nr=b², or=acn, pr=b²en, qr=b²c, r²=b², bs=ab²ce, c²s=s, ds=acs, es=abc, fs=be, gs=bc, hs=bce, is=ab², js=be, ks=bc, ls=abc, ms=b³, ns=abcen, os=be, ps=abc, qs=aben, rs=abcen, s²=b², b²t=t, c²t=t, dt=act, e²t=t, ft=act, gt=aet, ht=at, it=bcet, jt=act, kt=aet, lt=et, mt=acet, ot=act, pt=et, qt=cnt, rt=nt, st=abcet, t²=b², b²u=u, c²u=u, du=acu, e²u=u, fu=acu, gu=aeu, hu=au, iu=bceu, ju=acu, ku=aeu, lu=eu, mu=aceu, ou=acu, pu=eu, qu=cnu, ru=nu, su=abceu, u²=b², b²v=v, c²v=v, dv=acv, e²v=v, fv=acv, gv=aev, hv=av, iv=bcev, jv=acv, kv=aev, lv=ev, mv=acev, ov=acv, pv=ev, qv=cnv, rv=nv, sv=abcev, v²=b²>

P = {a, b², c², d, ad², ace, de, acd²e, ae², c²e², de², ad²e², af, acdef, ae²f, f², d²f², e²f², d²e²f², af³, ae²f³, eg, adeg, d²eg, efg, aci, di, i², d²i², aj, acdej, ae²j, de²j, fj, d²fj, e²fj, af²j, ae²f²j, di²j, aek, ac²ek, ad²ek, efk, adefk, adl, aim, ajn, f³o, acep, aceq, ckq, cer, ackr, cs}

Phi = 1 a 1 b ab bc abc c d c²ek b³ ab³ bc abc e b²c f g ab³ b³ h i b²c j adfk k cdij ij ab³ b³ ab² l bc b²n abe ab³ b³ m b²ce ab²e n bc o be abe p b ab² b²n abce bn bc abc abcn q r abce bn bc abc abcn ab²e bim acn abce bce bc acekp bcen ab² ab²n b²en be abce ab³ abn bn cekq b²n be b³ ab³ abn ab²ce aben s be bc t bcn ben b²ce abt bn ab²n bc b²e abe bcn abt b²en ab²en abce bce abn bcn bt cn b²en cen ct abce bcen b²e ab²e ab²en abcn at ct abce b²ce ab²ce abt aet abe t ben ab²en bct ab²ce cen abe cn acn bcn abcn bc b²ce abt abe be b³ bcn b²en bcet acet ab²n t act ct abcet abt bct b²c cet et bn bcnt abct ab²c abe cet ab²ce et abn ant bt bcnt abcnt bnt b²en t bcen abcen abce abt ab³ abc ent nt acnt ab²n bet ct aent abcnt acet ben abc abe ent cen t acet u be abce au abcet ab²ce abu bcen abcen u acu bc b²en cent aet ab²n ab³ b³ beu b²en be aet ct u bcen ab³ abeu ab²n ab²c cet aben u bet abt abu abcu abce cent nt b²e abet bet b²n cen acu bn abcu abt aceu abu aet et acen aent cent cu b²c be bc u aceu abcu bce bct b²n bnt ab²e ant abu bcen bet acen abc ct bu nt abe aceu au u ct bcu abn bn aeu au b²n abcent bcent aceu aent ent nt anu be at abnu ceu b²n cnt beu cnu t ab²c abu bcn bcu acnt aben b²en abnt bcenu abcen cent acet abct abce bent abcnu abu u bc bcent aceu abcnt b²n abcet bn abn beu bcent ceu abcnt tu cn aeu beu u abe bcent tu abcenu abceu btu abce at bnt acnu ab²e ab²en bctu bnu aent abet aeu aenu ab²e aceu bu ent ben cetu abent beu aeu abe aben nt atu bcetu acu aceu abt bcnu cnu anu ab²en cen ntu abntu cntu abeu beu bcent abenu b²e atu acu cenu b³ bntu cen entu bcu eu ab²en btu beu cet acet aeu cent abcnt nt bceu b²ce bntu bcntu antu abcnu aeu abc bn bu cenu ab² abet aentu acent abcentu v bcntu aeu bent bcenu cen av aenu aet aentu abcn abv v cnu bcen cen acu abct bent ab²en abet ent v bcen abctu acet cetu ab²ce av at beu cet ab²e cen bcnu abcu acent cnt abentu abcn bcnt act av enu abe v bv abv at cen abcen cu abcu bv b²c aceu acn nu nt av btu abenu be abt bt bcnt cent bcn aev bct v aet benu acenu acv bu ant btu antu ab²c aev aentu aben acenu au abcenu bv ab²en bnv aev abcent abentu abcev ceu cntu centu ntu bn tu bcntu acn bv abcenu abu abct ct ab² abtu ceu bnt bt ab³ acv bn b²n abcv cu ent b²e acn aet cet abcv bv cnu abet cv abu v abctu bn ab²n abet atu aenu eu cen abcetu entu au abcnu bcen aet aev aeu bcntu bnu abcnu acev cent bntu bnv aeu abcv nt bu cev anv acv atv abce bev abcenv bv bctu bc bcev abtu nv abcnu enu tu aev ent anu abcntu abcv abtu ab² v benv acnu bv entu acev etu abnv v acnu abctv acu aentu bent cntu nu acv acn eu abcnv act tv env abcet anv nv beu acu abcnv actu bu btv cnv cev abtv bcnu abcu abct ben abceu cent abcv bcetv aetv bet av aev aenv nt bcetv abet abev cnt abeu b³ ctv aeu aenv antv bnu acv ab³ bcentu v abcenv abn btv acv aentv bntv bcntv aent beu abev bcnv acentv abcv tu act bcetu bcenu abv bcntv etv acv abe bcev abcen abcenv bnv bcu cnv abcent cet bct cetv abcv abceu tu bctv etv abenv abcnv bceu abnt nt b²ce abtv bentv v bc abtu bcetv acn abnu av abctv etv uv benv nv env acuv abcn abntu abcnt ab²n b²c uv nt cuv u bnv ab²c euv aet bcv bcnu abnv abnt bcuv at ab²e auv abent abcen entv acv cv bu bcenv ben cetu aeu et bcuv bcnu bnt bcenu abctu env abuv benv acen bct acent at bu cetv buv bctu bcuv cu bnv bcnu euv enuv cetv abnuv abnv ceuv antu be abcet v b²en bceu euv aenu benu av cntv atv buv u abc acentu antv abcnt antu bcnu etv bnu acentv acenuv cent ct ab²e abnuv entv etu abcentu bnu btu acenuv bcent abcuv acntv b²e acuv anuv abctv av cn abenv ctuv acuv acntu aben ant abev abenuv aentu bcenu nuv cenv ceuv ben acetu benuv abcet abv bntv acv cetu buv abu cetv nt aceu at tv abceuv beu abctu abenuv acnt ntu bnv bcuv bceuv bcenuv abcnv abcet acv btuv aben nuv cetu abtv ctu betuv abuv aetuv bce cev abcnv cen b²c ceuv aeu cetuv b²en acuv abcetuv tv u ctu abcnv ctv abet aenu cnt abtuv euv cen bcntv abnuv v ntuv abce abenu btuv bcenu acenv actuv ctu aent abenu bnv abev aenv bnuv abetu aetuv anv bnv b²ce bentv abceuv atuv au abev

Monoid Structure