Details Page for 0.1005

Complete Solution is Known:

MSV File: q-0.1005.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₈(0.1005):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b⁴=b², c⁴=c², b³cd=bcd, c²d=b²c³, b²d²=b², bcd²=b³c, bd³=bd, d⁴=d², b²e=ab², bce=abc, c²e=ac², bde²=b³d, d²e²=b², be³=abe², ce³=ace², e⁴=ae³, b²f=b³c, bcf=b²c², c²f=bc³, bd²f=bf, d³f=df, be²f=b²c, ce²f=bc², de²f=bcd, e³f=abc, cd²f²=cf², e²f²=b²c², cf³=bf², bef⁴=bef², bf⁵=bf³, ef⁵=ef³, f⁶=f⁴, b²g=b³, bcdg=b²cd, g²=1, b²h=ab²cd, c²h=ac², bcdh=ab³c², d³h=dh, de²h=ab²c, e³h=ae²h, befh=cd²eh, e²fh=bch, cf²h=bfh, ch²=ace²h, dh²=acd²h, beh²=abh², bfh²=b²c³, f²h²=abdfh, h³=ae²h², b²i=b³, bci=b²c, c²i=bc², bd²i=bi, d³i=di, bei=ab², e²i=be², cd²fi=cfi, d²efi=efi, cehi=abch, ef³hi=cd²eh, bh²i=b²c², eh²i=abh², fh²i=acdfhi, cd²i²=ci², cei²=cd²egi, d²ei²=ei², bf³i²=aef³i, ef³gi²=def⁴i², bhi²=ad²ehi, ehi²=acdegi, h²i²=acdhi², ei³=egi², d²f⁴i³=f⁴i³, f⁴gi³=df⁵i³, df³hi³=ef²i², f⁴hi³=def³i², i⁴=gi³>

P = {a, b², c², b²c², ad, bcd, ad², ad³, de, d³e, e², ae³, af, adf, ad²f, ef, d²ef, af², adf², ad²f², def², af³, adf³, ad²f³, ef³, def³, d²ef³, af⁴, adf⁴, ad²f⁴, def⁴, af⁵, adf⁵, ad²f⁵, ag, bcg, bc³g, adg, ad²g, ad³g, eg, deg, d²eg, d³eg, ade³g, afg, adfg, ad²fg, efg, defg, d²efg, af²g, adf²g, ad²f²g, ef²g, def²g, d²ef²g, af³g, adf³g, ad²f³g, ef³g, d²ef³g, af⁴g, adf⁴g, ad²f⁴g, ef⁴g, def⁴g, d²ef⁴g, af⁵g, adf⁵g, ad²f⁵g, abh, acdh, abd²h, beh, cdeh, bd²eh, abe²h, abdfh, f³h, abdf³h, aef³h, f⁵h, ae²gh, fgh, d²fgh, aefgh, ad²efgh, f²gh, d²f²gh, aef²gh, ad²ef²gh, f³gh, d²f³gh, aef³gh, ad²ef³gh, f⁴gh, d²f⁴gh, aef⁴gh, ad²ef⁴gh, f⁵gh, d²f⁵gh, h², aeh², e²h², bgh², ai, adi, ad²i, acdei, afi, adfi, ad²fi, acefi, af²i, adf²i, ad²f²i, af³i, adf³i, ad²f³i, af⁴i, adf⁴i, ad²f⁴i, af⁵i, adf⁵i, ad²f⁵i, agi, adgi, ad²gi, acegi, afgi, adfgi, ad²fgi, af²gi, adf²gi, ad²f²gi, def²gi, af³gi, adf³gi, ad²f³gi, af⁴gi, adf⁴gi, ad²f⁴gi, af⁵gi, adf⁵gi, ad²f⁵gi, ehi, d²ehi, fhi, d²fhi, defhi, f²hi, d²f²hi, f³hi, d²f³hi, f⁴hi, d²f⁴hi, f⁵hi, d²f⁵hi, abghi, acdghi, abdfghi, f³ghi, abdf³ghi, f⁵ghi, gh²i, ai², adi², ad²i², afi², adfi², ad²fi², af²i², adf²i², ad²f²i², def²i², af³i², adf³i², ad²f³i², af⁴i², adf⁴i², ad²f⁴i², af⁵i², adf⁵i², ad²f⁵i², agi², adgi², ad²gi², afgi², adfgi², ad²fgi², af²gi², adf²gi², ad²f²gi², af³gi², adf³gi², ad²f³gi², af⁴gi², adf⁴gi², ad²f⁴gi², af⁵gi², adf⁵gi², ad²f⁵gi², acdhi², f³hi², f⁵hi², fghi², d²fghi², f²ghi², d²f²ghi², f³ghi², d²f³ghi², f⁴ghi², d²f⁴ghi², f⁵ghi², d²f⁵ghi², ai³, adi³, ad²i³, afi³, adfi³, ad²fi³, af²i³, adf²i³, ad²f²i³, af³i³, adf³i³, ad²f³i³, af⁴i³, adf⁴i³, af⁵i³, adf⁵i³, agi³, adgi³, ad²gi³, afgi³, adfgi³, ad²fgi³, af²gi³, adf²gi³, ad²f²gi³, af³gi³, adf³gi³, ad²f³gi³, fhi³, d²fhi³, f²hi³, d²f²hi³, f³hi³, acdghi³, f³ghi³}

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

Monoid Structure