Details Page for 0.3516

Complete Solution is Known:

MSV File: q-0.3516.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₁(0.3516):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b³=b, b²c=c, c⁴=ac³, c³d²=c³, c²d³=c²d, cd⁴=cd², d⁵=d³, b²e=e, c³e=ac³d, c²de=c³, d⁴e=d²e, cde²=c²e, d²e²=cd³e, c²e³=c²e, ce⁴=ce², e⁵=e³, b²f=f, c²f=bc³, cdef=abcd³e, de³f=ce²f, d²f²=abd²f, def²=abdef, ce²f²=abce²f, f³=abf², c²g=ac²d, cdg=acd², d²g=ad³, ceg=acde, deg=ad²e, cfg=acd³f, df²g=abdfg, g²=d⁴, b²h=h, c²h=ac²e, cd²h=ac²d, deh=ade², e²h=ae³, d³fh=acd²f, cgh=c², d³h²=ac³d, d²fh²=abd²h², dfgh²=abdgh², cdf²h³=dgh², dgh³=cdf²h², h⁴=h², c³i=ac³, c²i²=c², d²i²=d², cdei²=cde, cgi²=cg, e³f²gi²=ae³f²gi, cdf²h²i²=acdf²h²i, dgh²i²=adgh²i, f²gh²i²=af²gh²i, di³=di, ei³=ei, gi³=gi, i⁴=i²>

P = {a, b², abc, c², ac³, ad, b²d, abcd, ad², b²d², abcd², c²d², ad³, b²d³, abcd³, ad⁴, b²d⁴, abe, ce, abde, cde, abd²e, abd³e, cd³e, e², abce², c²e², de², abe³, ce³, abde³, e⁴, de⁴, abf, cf, abdf, cdf, abd²f, cd²f, abd³f, cd³f, abd⁴f, ef, abcef, def, d²ef, d³ef, abe²f, ce²f, abde²f, e³f, abce³f, abe⁴f, f², abcf², df², abcdf², abef², cef², e²f², abe³f², e⁴f², g, ab²g, bcg, dg, ab²dg, beg, ae²g, be³g, ae⁴g, bfg, bdfg, aefg, be²fg, ae³fg, be⁴fg, af²g, bef²g, ae²f²g, be³f²g, ae⁴f²g, bh, ach, bdh, acdh, bd²h, bd³h, bd⁴h, aeh, bceh, afh, bcfh, adfh, bcdfh, ad²fh, befh, acefh, bf²h, acf²h, bdf²h, acdf²h, aef²h, bcef²h, abgh, abdgh, egh, fgh, dfgh, abefgh, abf²gh, ef²gh, h², abch², dh², d²h², abeh², ceh², abfh², cfh², abdfh², efh², abcefh², f²h², abcf²h², df²h², abef²h², cef²h², agh², adgh², begh², bfgh², aefgh², af²gh², bef²gh², bh³, ach³, bdh³, acdh³, aeh³, bceh³, afh³, bcfh³, adfh³, bcdfh³, befh³, acefh³, bf²h³, acf²h³, bdf²h³, aef²h³, bcef²h³, abgh³, egh³, fgh³, abefgh³, abf²gh³, ef²gh³, ai, b²i, abci, adi, b²di, abcdi, ad²i, b²d²i, abcd²i, ad³i, b²d³i, abcd³i, ad⁴i, b²d⁴i, abei, abdei, abd²ei, abd³ei, e²i, abce²i, abe³i, abde³i, e⁴i, abfi, abdfi, cdfi, abd²fi, abd³fi, cd³fi, abd⁴fi, efi, d²efi, abe²fi, e³fi, abe⁴fi, f²i, df²i, abcdf²i, abef²i, e²f²i, abe³f²i, e⁴f²i, gi, ab²gi, bcgi, dgi, ab²dgi, begi, be³gi, bfgi, bdfgi, af²gi, abe³f²gi, bhi, achi, bdhi, bd²hi, bd³hi, bd⁴hi, aehi, bcehi, afhi, bcfhi, ad²fhi, befhi, bf²hi, acf²hi, aef²hi, abghi, abdghi, dfghi, h²i, abch²i, dh²i, abeh²i, abfh²i, abdfh²i, efh²i, f²h²i, df²h²i, abef²h²i, agh²i, begh²i, bfgh²i, af²gh²i, bh³i, ach³i, bdh³i, aeh³i, bceh³i, afh³i, bcfh³i, befh³i, bf²h³i, acf²h³i, aef²h³i, abgh³i, bf²gh³i, ai², b²i², abci², adi², b²di², abcdi², abei², abdei², e²i², abce²i², abe³i², abde³i², e⁴i², abfi², cfi², abdfi², cdfi², efi², defi², abe²fi², ce²fi², e³fi², abe⁴fi², f²i², abcf²i², df²i², abcdf²i², abef²i², e²f²i², e⁴f²i², gi², ab²gi², dgi², ab²dgi², begi², be³gi², bfgi², bdfgi², aefgi², ae³fgi², af²gi², bef²gi², bhi², bdhi², acdhi², aehi², bcehi², afhi², adfhi², bcdfhi², befhi², acefhi², bf²hi², bdf²hi², acdf²hi², aef²hi², bcef²hi², abghi², abdghi², fghi², dfghi², abf²ghi², h²i², abch²i², abeh²i², abfh²i², cfh²i², efh²i², f²h²i², abcf²h²i², abef²h²i², gh²i², abfgh²i², bh³i², bdh³i², acdh³i², aeh³i², bceh³i², afh³i², adfh³i², bcdfh³i², befh³i², acefh³i², cf²h³i², bdf²h³i², aef²h³i², abgh³i², fgh³i², ai³, b²i³, abci³, abfi³, f²i³, bhi³, achi³, afhi³, bcfhi³, bf²hi³, acf²hi³, abch²i³, bcf²h²i³, bh³i³, ach³i³, afh³i³, bcfh³i³, bf²h³i³, acf²h³i³}

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

Monoid Structure