Details Page for 0.1162

Complete Solution is Known:

MSV File: q-0.1162.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₃(0.1162):

Q = <a,b,c,d,e,f,g,h,i,j | a²=1, b⁵=b³, b³c²=b³, bc⁴=bc², c⁵=c³, b³d=ab⁴, bcd²=bc, c²d²=c², b²d³=b²d, cd³=cd, d⁴=d², b³e=ab³c, b²ce=ab⁴, bc²e=ab³c, c³e=ab⁴, b²d²e=b²e, d³e=de, c²e²=b⁴, b²e³=b²e, e⁴=e², b³f=ab⁴c, b²d²f=b²f, bd³f=bdf, b²ef=b³, bcef=ac²e, bde²f=b³c, cde²f=b⁴, bc²f²=bc², bd²f²=bf², c²ef²=c²e, d²ef²=ef², e²f²=b⁴, b²f³=b²f, cd²f³=cf³, d³f³=df³, bef³=bd²ef, cef³=cd²ef, f⁴=d²f², b³g=ab³, cg=bcd, b²dg=b³, d²g=bd³, beg=b²de, deg=bd²e, fg=bdf, g²=bdg, b³h=b⁴c, bc²h=b²c³, beh=ab²e², ceh=abce², d²eh=eh, e²h=abd²e³, b²fh=abd²ef, bd²fh=bfh, efh=ac²e, egh=ab²de², bh²=b²ch, ch²=ac²e, eh²=b²e, d²f²h²=acef², f³h²=acd²ef, gh²=b²cdh, h³=b³c, b⁴i=b²i, b²c²i=b²i, bc³i=bci, b²di=ab³i, cd²i=ci, d³i=di, bei=ab³ci, cei=ab²i, d²ei=ei, b²fi=ab³ci, d²fi=fi, e²fi=ab³ci, bcf²i=bci, c³f²i=cf²i, ef³i=efi, gi=bdi, b²hi=b³ci, bchi=b²i, ehi=ab³i, bf²hi=aef²i, cf²hi=bc²i, h²i=b²i, bi²=b³i, c⁴i²=c²i², d²i²=i², ei²=ab²ci, fi²=ab³ci, i³=b²i, b⁴cj=b²cj, b²c²j=b⁴j, bc³j=bcj, b²cdj=ab³cj, bcej=ab³j, c²ej=ab²cj, cdej=ab²dj, b²e²j=b²d²j, be³j=bej, ce³j=cej, b²fj=ab³cj, bdefj=ab³j, de²fj=ab²ej, bcf²j=bcj, c²f²j=c²j, cd²f²j=cf²j, bef²j=ab³cj, cef²j=ab⁴j, bf³j=bd²fj, cf³j=cd²fj, d²f³j=f³j, e³gj=egj, chj=ef³j, b²dhj=ab²cj, ehj=abd²e²j, bfhj=aef³j, bdghj=ab²ghj, h²j=b²d²j, b²ij=b²ci, cij=abcfi, bdij=ab²ci, e³ij=eij, bfij=ab²i, efij=b³ci, f³ij=fij, fhij=ab²ci, i²j=b²ci, b²j²=b²i, bcj²=b³ci, c²j²=b²i, bdj²=eij, be²j²=bj², bfj²=ace²j², cfj²=aefi, d³fj²=dfj², defj²=ab²i, e³fj²=efj², d²f²j²=f²j², ef²j²=ab²ci, bgj²=ab³i, dgj²=deij, e²gj²=gj², bhj²=b²ci, dhj²=ae²ij, fhj²=ab²i, ghj²=ab³ci, ij²=b²i, bj³=b³ci, cdj³=ad²hij, cej³=ab²ci, dej³=d²hij, e²j³=ce²j², fj³=ad²hij, gj³=ab²ci, hj³=b³i, j⁴=b²i>

P = {a, b², b⁴, c², b²c², c⁴, ad, bcd, bc³d, ad², b²d², ad³, be, cde, bd²e, e², b²e², d²e², be³, cde³, bd²e³, adf, bcdf, bc³df, ad³f, bef, cdef, bd²ef, be³f, af², b²f², c²f², c⁴f², adf², bcdf², ad²f², ad³f², cdef², adf³, bcdf³, ab²g, bdg, ah, bch, ab²cdh, c²dh, c⁴dh, ad²h, c²dfh, acf²h, abcdf²h, c⁴df²h, d³f²h, ac²f³h, df³h, abcdf³h, d²f³h, agh, h², d²h², f²h², i, b²i, c²i, c⁴i, d²i, e²i, abcfi, f²i, c²f²i, dhi, c⁴dhi, ac²fhi, bdfhi, af³hi, i², c²i², acdhi², abcj, ab³cj, ac²dj, ac⁴dj, cej, abdej, ae²j, ade²j, ad²e²j, ac²dfj, bhj, d³hj, dfhj, d³fhj, df²hj, abghj, dghj, dfij, ahij, j², d²j², abej², e²j², d²e²j², f²j², agj², ahj², cj³, ad²j³, ad³j³}

Phi = 1 a a 1 1 b b b ab c a a b² d c b b e f g b² h i j

Monoid Structure