Details Page for 0.1342

Complete Solution is Known:

MSV File: q-0.1342.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₃(0.1342):

Q = <a,b,c,d,e,f,g,h,i,j | a²=1, b⁴=b², b²c⁴=b²c², c⁵=c³, b²d=b³c, bcd=b²c², c³d=bc⁴, c²d²=b²c², bd³=cd², cd⁴=cd², d⁵=d³, be=ab², cde=ab²c², d²e=acd³, e²=b², b²f=b²c, bc⁴f=bc²f, cd²f=b²c², d³f=cd³, c⁴ef=c²ef, def=ab²c², bc³f²=bcf², c⁴f²=c²f², df²=bcf², ef²=abf², f³=c³f², b²g=ab², bcg=ab³c, bdg=de, cdg=acd³, d⁴g=d²g, eg=abg, bfg=ab³c, c⁴fg=c²fg, dfg=acd³, c³f²g=cf²g, bg²=abg, cg²=ade, d²g²=ad²g, fg²=ade, g³=ag², b²c²h=ab²c³, c²dh=bc³h, c⁴fh=c²fh, cdfh=bc²fh, bcf²h=abc²f², c²f²h=ac³f², c³gh=ac²f²g, fgh=cgh, bc³h²=abc³fh, bdh²=b²ch², cdh²=bc²h², d⁴h²=d²h², c³eh²=bc⁴h, deh²=ab²ch², bc²fh²=bcf², dfh²=bcfh², efh²=abch², bf²h²=bcfh², cf²h²=c³f², bgh²=ab³h², c³h³=ac³fh², d²h³=ab²c³, bfh³=bch³, c²fh³=ac²f², f²h³=cfh³, g²h³=b²h³, b²h⁴=b², bc²h⁴=bf², eh⁴=abh⁴, fh⁴=ch⁴, c²gh⁴=f²g, bch⁶=bfh², c²h⁶=f²h², cgh⁶=cgh², bh⁷=bh³, ch⁷=fh³, dh⁷=dh³, gh⁷=gh³, h⁸=h⁴, b²i=ab², bc⁴i=bc²i, bdi=ab²c, d²i=ab²c², c⁴ei=c²ei, dei=b²c, cefi=ac²dfi, bc²f²i=bf²i, bgi=b³, c⁴gi=c²gi, dgi=b³c, c³fgi=cfgi, c²f²gi=f²gi, g²i=ab², cdhi=bc²hi, bcfhi=abcf²i, dfhi=abcf²i, efhi=abfhi, bf²hi=abcf²i, c²ghi=acf²gi, bc²h²i=bf²i, c⁴h²i=c²h²i, c²eh²i=bc³hi, bfh²i=bch²i, cfh²i=c²f²i, f²h²i=c²f²i, c²h³i=ac³f²i, eh³i=abh³i, fh³i=ch³i, bch⁵i=bfhi, gh⁵i=ghi, bh⁶i=bh²i, ch⁶i=fh²i, dh⁶i=dh²i, h⁷i=h³i, c²ei²=abc²i², f²i²=b²c², bchi²=b³ch, c³hi²=cfgi², ehi²=abhi², bfhi²=b³ch, cfhi²=ab²c³, ghi²=ab²h, h²i²=b²h², bi³=ei², c²i³=ac²i², cdi³=acdi², ei³=aei², gi³=agi², hi³=ahi², i⁴=ai³, b²j=b³, cd²j=b³c³, d³j=cd², dej=ab³c, bf²j=af²g, gj=bg, cdhj=bc²hj, d²h²j=b³c², bfh²j=acgh², bch³j=acgh³, bc²fij=ac²fgi, dhij=bchij, bfhij=acghi, bch²ij=acgh²i, bc²i²j=ac²gi², fhi²j=dhi², j²=b²>

P = {a, b², c², b²c², c⁴, ad, ad², ad³, ad⁴, cf, c³f, bdf, f², c²f², cg, c³g, d³g, fg, c²fg, cf²g, g², ah, bch, b³ch, ac³h, adh, ad²h, ad³h, ad⁴h, aceh, bfh, ac²fh, aefh, acf²h, d²gh, d³gh, h², b²h², c²h², c⁴h², ad²h², ad³h², cfh², c³fh², f²h², agh², d³gh², g²h², ach³, ab²ch³, afh³, agh³, ac²gh³, h⁴, c²h⁴, cgh⁴, ah⁵, bch⁵, adh⁵, h⁶, agh⁶, ai, ac²i, ac⁴i, acfi, ac³fi, af²i, ac²f²i, cgi, c³gi, hi, abchi, cehi, abfhi, c²fhi, cf²hi, ah²i, ac²h²i, gh²i, ch³i, ah⁴i, h⁵i, ah⁶i, i², c²i², c⁴i², cfi², c³fi², acgi², ac³gi², ahi², ai³, acfi³, bj, ac²j, bc³j, ac²dj, bd²j, aej, ac³ej, acfj, abc²fj, acdfj, c²efj, af²j, bhj, ac²hj, abc³hj, bdhj, aehj, c³ehj, acfhj, d²fhj, af²hj, bh²j, ac²h²j, ac⁴h²j, aeh²j, ac²eh²j, acfh²j, af²h²j, bh³j, bh⁵j, ac²h⁵j, bh⁶j, abij, c²ij, abc³ij, eij, c³eij, cfij, f²ij, c²f²ij, abhij, c²hij, bc³hij, ehij, ac³ehij, cfhij, abh²ij, eh²ij, ach³ij, abh⁵ij, bi²j, ac²i²j, aei²j, acfi²j, c²dfi²j, bhi²j, ac²hi²j, adfi³j}

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

Monoid Structure