Details Page for 0.3354

Complete Solution is Known:

MSV File: q-0.3354.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₃(0.3354):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b³=b, b²c=c, c⁴=ac³, c³d=bc³, b²d²=d², cd²=abc²d, d⁴=ac³, c³e=ac²e, b²de=de, cde=abc²e, d²e=c²e, b²e²=e², c²e²=ac³, de²=abce², ce⁴=ce², e⁶=e⁴, b²f=f, c³f=c²e, c²ef=c³, ce²f=ace³, e⁴f=ae⁵, c²f²=ac³, cdf²=bc³, d²f²=ac³, cef²=abde, def²=de, e²f²=e², df³=abcf³, cf⁴=abdf², ef⁴=ef², f⁵=f³, b²g=g, c³g=ac²e, c²eg=ac³, ce³g=abdeg, e⁴g=e²g, defg=bce²g, e²fg=ae³g, cf²g=acefg, df²g=abce²g, deg²=bc²e, e²g²=ace², f²g²=aefg², ceg⁴=ceg², g⁶=g⁴, b²h=h, c³h=abc³, c²eh=abc²e, ce³h=abdeh, e⁵h=e³h, defh=bce²h, e³fh=ae⁴h, cf²h=acefh, df²h=abce²h, ef²gh=e³gh, d³g⁴h=abceg³h, ceh²=ac²e, deh²=bc²e, e²h²=ac³, ef³h²=efh², f⁴h²=f²h², efgh²=ac²e, f²gh²=c²e, c²dg²h²=abd³g²h, eg²h²=c²e, d³h³=abd³h², efh³=abc³, f²h³=bc³, c²g⁴h³=bc³, cdg⁴h³=bceg³h, d²g⁴h³=bc³, c²h⁴=abc²h³, d²h⁴=abd²h³, eh⁴=c²e, cdg²h⁴=d²g²h³, cg⁴h⁴=abd³g⁴, dg⁴h⁴=ceg³h, cdh⁵=abcdh⁴, dh⁶=abdh⁵, g⁴h⁶=bceg³h, ch⁷=abch⁶, h⁸=abh⁷, b²i=i, c²i=ac²e, cdi=bc²e, d²i=ac²e, dei=abcei, ce²i=ace²g, e⁴i=ae²g, df²i=abcf²i, ef³i=efi, f⁴i=f²i, cegi=c²e, e²gi=ce², cg²i=aceg², dg²i=abc²e, eg²i=abdeg, fg³i=aefg⁵, cehi=bdegh, e³hi=ae³gh, dfhi=degh, cghi=aceg³h, dghi=abegh³, efghi=ace²h, g⁴hi=aeg⁴h, ch²i=c²e, dh²i=abc²e, ef²h²i=eh²i, f³h²i=fh²i, gh²i=begh³, h³i=bc²e, di²=abci², ei²=bde, cfi²=abeh³, f²i²=bdf², g²i²=ac³, chi²=abc³, ghi²=ace²gh, h²i²=ac³, i³=acf²i>

P = {a, b², bc, c², ac³, ab²d, abcd, bc²d, d², bd³, ae, e², ace², e⁴, aef, cef, abdef, ae³f, f², acf², bdf², aef³, f⁴, bg, cg, abdg, aceg, bdeg, e³g, ac²fg, cdfg, ad²fg, d³fg, ef²g, af³g, g², bcg², c²g², adg², abcdg², bc²dg², d²g², bd³g², aefg², cefg², bg³, cg³, abdg³, aceg³, ac²fg³, cdfg³, ad²fg³, d³fg³, g⁴, bcg⁴, c²g⁴, adg⁴, abcdg⁴, bc²dg⁴, d²g⁴, bd³g⁴, aefg⁴, bg⁵, cg⁵, abdg⁵, ac²fg⁵, cdfg⁵, ad²fg⁵, d³fg⁵, abc²h, cdh, ac²dh, abd²h, ad³h, eh, bceh, adeh, abe³h, afh, cfh, abdfh, be²fh, abef²h, bf³h, abe²gh, bc²fgh, adfgh, abcdfgh, befgh, abf²gh, abf⁴gh, abc²g²h, cdg²h, ac²dg²h, abd²g²h, ad³g²h, eg²h, afg²h, abcfg²h, bceg³h, abfg³h, bc²fg³h, abcdfg³h, abc²g⁴h, cdg⁴h, ac²dg⁴h, abd²g⁴h, afg⁴h, abcfg⁴h, abeg⁵h, bc²fg⁵h, abcdfg⁵h, h², ach², c²h², bdh², abcdh², bc²dh², d²h², bd³h², aefh², f²h², abegh², ac²fgh², cdfgh², ad²fgh², abd³fgh², g²h², acg²h², c²g²h², bdg²h², abcdg²h², d²g²h², bd³g²h², ac²fg³h², adfg³h², cdfg³h², abd²fg³h², g⁴h², acg⁴h², c²g⁴h², bdg⁴h², abcdg⁴h², d²g⁴h², bfg⁵h², ac²fg⁵h², cdfg⁵h², ad²fg⁵h², abh³, bch³, abc²h³, adh³, cdh³, ac²dh³, abd²h³, fgh³, bc²fgh³, abcdfgh³, bd²fgh³, abg²h³, bcg²h³, abc²g²h³, adg²h³, cdg²h³, abd²g²h³, fg³h³, bc²fg³h³, bdfg³h³, abcdfg³h³, d²fg³h³, abg⁴h³, bcg⁴h³, adg⁴h³, afg⁵h³, cfg⁵h³, h⁴, ach⁴, bdh⁴, abcdh⁴, abfgh⁴, cdfgh⁴, g²h⁴, acg²h⁴, bdg²h⁴, abfg³h⁴, adfg³h⁴, g⁴h⁴, bfg⁵h⁴, abh⁵, bch⁵, adh⁵, fgh⁵, abg²h⁵, bcg²h⁵, adg²h⁵, fg³h⁵, bdfg³h⁵, abg⁴h⁵, afg⁵h⁵, h⁶, ach⁶, abfgh⁶, g²h⁶, acg²h⁶, abfg³h⁶, abh⁷, fgh⁷, abg²h⁷, fg³h⁷, abi, bci, adi, abe²i, befi, abf²i, bcf²i, cgi, abdgi, fgi, bf³gi, ag³i, ag⁵i, ehi, afhi, ef²hi, af³hi, bghi, i², aci², abfgi², afhi²}

Phi = 1 a b ab b² c d e ab f ab² g h i

Monoid Structure