Details Page for 0.2444

Complete Solution is Known:

MSV File: q-0.2444.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₃₈(0.2444):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a²=1, b³=b, b²c²=c², c³=ac², c²d²=c², d³=d, bce=abe, c²e=b²e, d²e=e, e²=c², c²f=c²d, d²f=f, ef=de, f²=df, bg=be, c²g=b²e, d²g=g, fg=dg, eg²=b²e, g⁴=g², b²h=h, c²h=bde, dh=be, eh=bc²d, fh=be, gh=bc²d, h²=c², b²i=i, c²i=bc², d²i=i, ei=be, gi=be, hi=b²de, i²=c², b²j=j, c²j=bc², d²j=j, ej=be, fj=bc²d, gj=be, hj=b²de, ij=c², j²=c², b²k=k, ck=ak, d²k=k, fk=dk, gk=ek, hk=bdek, ik=bk, jk=bk, k²=c², b²l=l, cl=al, d²l=l, fl=dl, gl=el, hl=bdel, il=bl, jl=bl, l²=c², b²m=m, cm=am, d²m=m, fm=dm, gm=em, hm=bdem, im=bm, jm=bm, m²=c², b²n=n, cn=an, d²n=n, fn=dn, gn=en, hn=bden, in=bn, jn=bn, n²=c²>

P = {a, b², abc, c², acd, ab²cd, d², b²d², abcd², ace, df, b²df, abcdf, acg, eg, g², acg³, ch, bi, abcdi, bdfi, bj, abcdj}

Phi = 1 1 a 1 a be abe be abe b ab b c b²e ab²e b²e abe be abe be ac² d ad e ab²e b²e ab²e bc² abc² bc² abc² c²d ac²d f ac² bde abde bde abc² bc² abc² bc² ab²e b²e ab²e g h ah ac² be abe be abe b²e ab²e b²e ab²e i ai j ac²d c²d ac²d be ac² bde abde bde bc²d abc²d bc²d bc² ab²e b²e b²de k ak k ac² bc²d bek abek bk b²de ab²de bc² ab²e bc² abc² b²e bek bde abde be ac²d c²d ac²d ek bc²d abc²d bk ab²e ab²de b²e k c²d ac²d c²d ac² bde abde bde bk abk bk b²de abc² bc² abc² k bde abde ac² be abe c²d ac²d ek aek bc² bdek b²e ab²e b²e bek c²d ac²d be ac² bde abe bde bk abk ab²e b²e bc² abc² ab²de k ak k abde abek ac²d abdk ek aek ek b²de l bc²d abc²d adk bdek adk ac² adek ac²d bde abdk l bdk bc² abc² bel ab²de abek bek abek bek l ac²d bde ac²d adek dek b²e ab²e b²e ab²e bc²d k ak k ak ac² bde abe bde l abdk abc² abdk abc² bc²d bdek dk bek abek bek ak ac² l bdk abdk ab²e b²e ab²e bc²d ab²de bc²d k bdek abdek be abe ac²d abde bde bk bc² l el ab²de bdel ab²de k dk k ac² abde adl adek bdk aek bk aek abc² bel adl ael bek abek bek l bdel bdl abel bdl bk aek dl l kl l k ak k c²d abdl abekl adel del abde kl bk b²de ab²de bdel bekl abekl bek abek ac² el kl ekl bdl aek ek aek abekl adek adel kl dk bdek k ak bdekl abkl adel abk bk bde bk akl ekl bdel abdel ak ab²de bdek abe dl ekl abk bdl aek ab²e aek abc² abekl k ak bek ak ac² bdek bdekl abkl bkl aek bk abk l adekl ekl bdel bek ak bek ak el abekl ekl abk bk aek ab²e abdl bdekl abkl m ak bek ak bek bem kl abdekl ek aek bc² aek am adekl dekl abek bek dk ak abdel k m dekl bc² abk aek bk bem bm abdekl m k ak be bek dkl bem abk bm bc²d aek l aem em bdek abek bek abek dk bm bdekl dm dek bc²d bk abk adkl bm abm abdekl k ak k ak am adkl m abk bk aek ek aek adel em ael abdel bek abek abdem bem abem abdekl ek aek bk abk bk bdem abdem bl adk ak dk dem am m km abk ab²de aek ek bm bekm akl ac² m bek ak am bem abem abekm adm abk abc²d bk aem km abdem be ac²d be ak am ael b²e ab²e b²e bc² aek abe bekm abekm be ak ac² bek abek bek bl abem bc² ek bk abk bm adem dkm ac² bek abel k ak adk ael dm b²e ab²e bdk abdk abdm bdm abekm abkm ac² be bek abek bem ekm abc² abkm bc² aek ek abekm dkm bde abde abek ac² dk bdkl abdkl am del dekl abk bk bdk bk bm ac² dl ac²d be k l dekm akl bk bdkm dek adek dek dem aem em abdel bm lm adk abl b²e abdl l ek abk ac²d abdk dkm c²d abm dl bek abdek bdek dekm ab²de b²de abdl bdl ab²e dem belm dl em del ac²d abdek abdem alm abc²d bem abdl ab²e belm abelm ac²d c²d abe c²d be adk bdekm adk bdkl m adel bc² dekl abdk dekm alm bdelm abdekm ac² akm bek bdek dekm bdem abdl adm ek adek bk abekl belm abelm ac²d be abe be dk bdelm bdkl b²e abem bel adel abdem adlm em aem abdekl ac² c²d dem ablm beklm m abdl m abc² aek ek abdkm bm dl adl abek ekl abek elm klm bekl del ab²de b²e ab²e bk dekm dlm adlm ak bde k bdelm abdelm adl b²e bk b²e abc² abelm bekl aek em ac²d be bek adk ablm adlm abdkl bdkl aek ab²de bdl adm dm adkl adlm dklm be ac²d be k klm abc² bc² ab²e bc² dek bc²d abdkm eklm ac²d c²d be bdel dekl elm beklm abeklm bc²d ab²e bc²d ek klm bklm dkl abeklm n bde aem adelm dklm adeklm m bc² abc² bc² bem abdkm bdekl dklm abde bde be aem ac²d n an bem abem ab²e adm ablm eklm belm dkl abe c²d bm akm bde adem ablm abc²d abdem bdem abdem ekm bdeklm en adklm ac² abde ac² bekm n aekl km ab²de bdk b²e adm abekl dklm bn dkl aekl abe akm abe n aelm n abel bl am bn abdem akl en adekm ac²d bm abe bdelm n ben adekl bdem dekm bem am bn eklm abdekl bek abdn em akm dkm aklm bdeklm aek dek adek en b²e ekm dekm alm bdm ac²d abkl bekm n an n abc²d aekl bdeklm b²de bdn abn bn bdelm aen bde bm ekl ben abdkl aelm aek ab²de aek abc² den adm akl abde abn bdekl c²d bekm abekm n an abc² bc²d abc² bn adl abdkm bdkm l dkl kn abdl km akm ben aben ben b²e aden abkm dm dekm adekm bdek abn ac² abdekm bdekm ben klm n abc² adekl abc² aekm abn abdekl bek adk ac²d abkl dlm adeklm n abdk ben aekl bdekl bdkm den abdek k abdek dekm kn bdkl lm akm bk dek n abc² bc² ab²de abdek abdelm bn bdkm adk kn bde kn abdk abdl abdk ben bden abc²d abdekl dk abdekl abek dekm kn dkn dkm bm dekl aek ek b²de an aklm bek abdek bdek abdek k bekn abekn abdekm dek adek dkm abk dkm ben bdn abdn dk ak dk bdelm den c²d dkm del bk aek b²de bdlm bkn aekm abdkm abek bek abdek k ak deklm abkl ek dek ben abk dn ekn abn abdek k ak bdkm abdkm abdelm kn bk abdkl bdeklm aek dek klm bkn ekn kl bek abek lm bdn bekn abekn delm ek aek bdlm akm abel bm bek abn k ak ac²d aen kn dkn bk abk bk blm bden ben bkm ak abkn adk bek abek bek bekn abekn abkl ek aek dn b²de n bkn abel abek bek l dk am aeklm an ek b²e abk bm abden ben abdel klm k abkm bdek bdn bekn bl aben abk abdkl adek aem dn bkn abdek bek bdek bek abek dk kn adel eklm ek abk ek abdeklm aekn bkn bdkn abdekl k dekm dkn dekm kn adekl bekn adkm bdekm adek dek bkn al ekn dkl abek k abdek bdn bekn dek dkn ek em bk abdk abdm abden abde bel dk adk abeln den adelm bdekn ab²de bdk bk adek bkn aekn adl dekn aden abek dekm ln kn akn eklm an ek delm abeln beklm dn elm abkn aln k abdekn dk bekn den bdl adkm bdl bdk abden abdlm bkn dl adk abeln abek bek dekm kn akn ab²de abdn en abeln abm bel ekn abdeklm adekn abek dklm am adel m bem abem bklm abk ln aekn l abdel abkn bdkm bdeklm adk bem akl kn b²e abc² aek ek bekm bdkn elm abeklm bm bdek bek ben m am abekl eklm b²e alm abk bk ekn bkn be bkn abekl bdln dn dk bl del adel abc² bdekm aeklm abdk abel l ac² bm beklm abek bem dm eklm el ab²e b²de abln bdekln dkm bkn abm dklm dn dklm k bdkl bdek b²de abc² abem abc² bdelm abkn bde ekn aklm aem abeklm an abekln dln dm adel ab²e adeklm bdeln abdeln abkln c²d adkl c²d bm adln ln dk abdekn bdl akn abdklm dkn ab²de adeklm bdn bde adklm c²d adklm n abeln abdek ael bem adel bc² ab²e den bdekl adlm ekl adkl dkl abekm ben abek bden bdlm kn adm ek abdem abdm adkl aln dl be bde ac² n ben akn abkln abekn ab²e eklm abdekn aen amn abkn abdkn bdm klm adl aln ablm abc² bc² abc² abem bdkln abln bn den abn aem ac² em dklm dn elm abem ab²e abdklm ab²e bc²d ael bdn bekl en abkn c²d dklm bde aben ben bekn m abc²d bdekn aden en bklm en abn be ac² ak k n an elm ab²de abekmn bklm aeklm bn belm em be abdeklm c²d adekn bel ekl ben dm el m aek aden en aen c²d km bdmn dem ben kln abkl bmn abkln ab²e bem ab²de abdn bn bdn adem den bekm delm abdm aekl an abden adm dm bc²d mn adekln abekl aen c²d abdm alm abeln ben an abdkl bdkl bdem abdem bdem abdem bn aen lm bdkm bde aekmn ac²d adelm abkl adekl n adm bc²d ekm bc²d aen bekl dkln c²d bdek adkl abde ben abdlm ben abdlm n adekmn bdem abdem dekm adkl abn aem abde abdmn bdkl ac² abk n bmn ademn admn abc²d bdn abc²d abdelm abm abdek bdekln c²d dkm aekl ben abdk bdlm adek kmn amn bdln bn dkl bdel aem abe adkln abekm n dek n b²de bekmn bdekmn abc²d dl bdn en abdelm lmn ac²d bm abdeln akm ablm aek bdk elmn dekln mn alm aekm lm c²d adem belm aem abekm bdkl aben elm bdem aelm bdkln abc² abelm aem bkm bekl bdm abdekln dekmn abln aekl n dm ablm adekln am abemn abdem lm dk mn abl akn aemn em adel ek abdk elm abem b²de abel aen dekm abek belm dlm abekn abekm an dkm aelm abeklm abc²d blm adl bn abdel abdek k ak akn almn adln dem abdekm aklm ek aek abekmn abeln bn dkl bek abdekl akln bkmn kln ben ek elm aelm bden aekn dm adl abek bdekl den ac²d c²d akn c²d km abk dek adek dn abdkn bdln abdel abdem ak dln lm abde bde dkln an ek abk abdem delm ademn abdkln dk dl dk adk abl kn abdl aben abkmn abk dek bdlm abdlm bkn abdel bdel dekm abek bdek abekl abelm abeln adel bklmn ben aben emn ekn aekn kmn adl abek adl abdn dkln bkmn bl ben lmn abdk bdk abkn bkn abdkn adl aekln alm kl bdek kn akn el n dn kmn bdln abel elm aekn abek abdkm el abekl aeklm kln bdkmn abl ekl abl bekmn bekm ekn bdkn blm kmn bmn abn akl adkn abekln mn el ael adkm bden blm adelm beklm abel abkln adelmn bdkm abkmn kn bdekn admn adkn akm adlmn eklmn aekn bdln adl dl bdek abmn bdel adkn abdl dkn km adel abekmn abekm bdln klm abdel bdel abdkln elmn abdkln abekln blmn bdekn abdekn abdeln bdklm aek delm abdk ekn aekn adl adk bdkn abdlmn bkm dekm ekmn dkn bdekln dkn adklmn bdlm bkn em bkn aekn bdek c²d dekm abdekln kn abdelm dln dkln bdemn abelmn adelm abdk deln abdel aemn em abde

Monoid Structure