Details Page for 0.3361

Complete Solution is Known:

MSV File: q-0.3361.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₃(0.3361):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b⁵=b³, c²=1, b⁴d=b²d, b²d²=d², d³=d², d²e=abd², b²de²=d², b²e⁴=d², bde⁴=bd², be⁵=ade⁴, de⁵=abe⁴, e⁶=e⁴, d²f=ad², b³e³f=b³def, be⁴f=abd², de⁴f=ad², b⁴f²=b²f², df²=d², b²e³f²=abd², bf³=abd², e⁴f³=ae⁴f², f⁴=af³, d²g=bd², e⁴g=ae⁵, b²dfg=b²ef², b²ef²g=b²df, b³g²=b³, b²dg²=b²d, beg²=be, deg²=de, e²g²=e², b²f²g²=b²f², f³g²=f³, g³=g, d²h=d², b²deh=b⁴e³, b²e³h=b²e³, e⁴h=de⁴, b²dfh=b²df, f²h=b²f², eg²h=eh, dh²=dh, be³h²=be³h, fh²=fh, h³=h², b³i=b³e, b²di=b²de, d²i=abd², b²ei=b²e², bdei=bde², be³i=bd², de³i=d², befi=be²f, defi=de²f, e⁴fi=ae⁴i, b²f²i=b²ef², behi=be²h, dehi=de²h, e²hi=e³h², efhi=e²fh, eh²i=e²h², dei²=de²i, be²i²=bd², e³i²=abd², ehi²=e³h², bei³=abe³f²g, e²fi³=ae²i³, dgi³=ad², bfgi³=b³e²f², f³gi³=af²gi³, f²g²i³=af³i³, b²fhi³=b²fi³, ghi³=b⁴e³g, h²i³=hi³, i⁴=ei³>

P = {a, b², b⁴, ac, abd, ab³d, d², e, ce, ab²ce, ab⁴ce, bcde, b³cde, ae², b²e², b⁴e², ace², e³, ab³e³, ce³, abde³, ae⁴, ace⁴, e⁵, ce⁵, bf, b³f, adf, ab²df, abcef, ab³cef, cdef, b²cdef, be²f, b³e²f, ade²f, abce³f, bde³f, f², b²f², acef², ab²cef², e²f², b²e²f², ace³f², e⁴f², af³, ae²f³, ag, acg, b²cg, b⁴cg, abcdg, ab³cdg, eg, ab²eg, ab⁴eg, ceg, ab²deg, ae²g, ace²g, b²ce²g, b⁴ce²g, bde²g, e³g, ab²e³g, ab⁴e³g, ce³g, bcfg, b³cfg, acdfg, abefg, ab³efg, defg, bce²fg, b³ce²fg, abde²fg, b²e³fg, de³fg, cf²g, b²cf²g, aef²g, ce²f²g, ae³f²g, ef³g, e³f³g, ag², b²g², acg², abdg², eg², ceg², bfg², adfg², f²g², acef²g², abh, ab³h, dh, b²dh, bceh, b³ceh, abdeh, b²e²h, b⁴e²h, de²h, abe³h, abde³h, afh, ab²fh, ab⁴fh, adfh, cefh, b²cefh, b⁴cefh, cdefh, ae²fh, ab²e²fh, ab⁴e²fh, ade²fh, be³fh, bce³fh, abcgh, ab³cgh, bdgh, b³dgh, ab²egh, ab⁴egh, adegh, abce²gh, ab³ce²gh, bde²gh, ade³gh, acfgh, ab²cfgh, ab⁴cfgh, acdfgh, efgh, b²efgh, b⁴efgh, defgh, ace²fgh, ab²ce²fgh, ab⁴ce²fgh, abde²fgh, e³fgh, de³fgh, abg²h, dg²h, afg²h, ab²fg²h, adfg²h, h², b²h², b⁴h², abeh², ab³eh², e²h², b²e²h², b⁴e²h², bgh², b³gh², aegh², ab²egh², ab⁴egh², be²gh², b³e²gh², ae³gh², g²h², b²g²h², i, ci, ab²ci, bcdi, aei, acei, e²i, ce²i, ace³i, ace⁵i, abcfi, cdfi, ce³fi, acf²i, ef²i, ace²f²i, aef³i, ae³f³i, gi, ab²gi, cgi, aegi, acegi, ce²gi, ade²gi, abfgi, dfgi, af²gi, cef²gi, ae²f²gi, f³gi, e²f³gi, g²i, cg²i, ab²cg²i, bcdg²i, aeg²i, aceg²i, abcfg²i, cdfg²i, acf²g²i, ef²g²i, bchi, abdhi, cfhi, b²cfhi, cdfhi, ab²ghi, adghi, fghi, b²fghi, dfghi, bcg²hi, abdg²hi, cfg²hi, b²cfg²hi, cdfg²hi, abh²i, agh²i, ab²gh²i, abg²h²i, ai², b²i², aci², ei², cei², ace²i², bfi², adfi², ce²fi², f²i², acef²i², af³i², ae²f³i², agi², acgi², b²cgi², bdgi², cegi², bcfgi², abdfgi², cf²gi², aef²gi², ef³gi², ag²i², b²g²i², acg²i², eg²i², ceg²i², bfg²i², adfg²i², f²g²i², acef²g²i², b²hi², dhi², afhi², ab²fhi², adfhi², abcghi², bdghi², acfghi², ab²cfghi², abdfghi², b²g²hi², dg²hi², afg²hi², ab²fg²hi², adfg²hi², h²i², b²h²i², bgh²i², g²h²i², b²g²h²i², i³, ci³, abdi³, acei³, abcfi³, bdfi³, cefi³, acf²i³, aef³i³, bgi³, acegi³, ce²gi³, fgi³, af²gi³, cg²i³, aceg²i³, cfg²i³, abhi³, abdhi³, bfhi³, bcfhi³}

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

Monoid Structure