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 Q₁₆₀(0.2444):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | 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>

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

Monoid Structure