Details Page for 0.3127

Complete Solution is Known:

MSV File: q-0.3127.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₈(0.3127):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b³=b, b²c=c, c⁵=ac⁴, c²d²=c², d³=d, b²e=e, c⁴e=ac⁴, c²e²=c², e³=e, b²f=f, c⁴f=c⁴, c²f²=c², ef²=e, f³=f, b²g=g, c³g=bc⁴, d²g=g, c²g²=c⁴, e²g²=g², f²g²=g², fg³=aeg³, g⁴=abg³, c⁴h=ac⁴, g³h=ag³, c²h⁴=ac²h³, e²fgh⁴=fgh⁴, f²gh⁴=e²gh⁴, h⁵=ah⁴, b²i=i, c⁴i=abc⁴, g³i=beg³, e²fh⁴i=fh⁴i, f²h⁴i=e²h⁴i, c²i²=c², ei²=e, gi²=g, fh⁴i²=e²fh⁴, i³=i>

P = {a, b², abc, c², ac³, c⁴, d, ab²d, bcd, ad², b²d², abcd², e, abce, c³e, ade, bcde, ac²de, d²e, abcd²e, e², abce², ade², bcde², d²e², abcd²e², af, bcf, ac³f, df, abcdf, c²df, ad²f, bcd²f, aef, bcef, ac²ef, c³ef, def, abcdef, ad²ef, bcd²ef, ae²f, bce²f, de²f, abcde²f, ad²e²f, bcd²e²f, f², abcf², adf², bcdf², d²f², abcd²f², abg, cg, abc²g, bdg, acdg, abeg, bc²eg, bdeg, acdeg, abe²g, ce²g, bde²g, acde²g, bfg, abc²fg, abdfg, cdfg, befg, acefg, bc²efg, abdefg, cdefg, be²fg, abde²fg, cde²fg, abf²g, cf²g, bdf²g, acdf²g, g², abcg², adg², bcdg², eg², adeg², bcdeg², afg², dfg², abcdfg², aefg², bcefg², defg², abcdefg², abg³, cg³, bdg³, acdg³, abeg³, bdeg³, acdeg³, h, ab²h, bch, ac²h, c³h, adh, b²dh, abcdh, d²h, ab²d²h, bcd²h, aeh, bceh, ac³eh, deh, abcdeh, ad²eh, bcd²eh, ae²h, bce²h, de²h, abcde²h, ad²e²h, bcd²e²h, fh, abcfh, c³fh, adfh, bcdfh, d²fh, abcd²fh, efh, abcefh, c²efh, ac³efh, adefh, bcdefh, d²efh, abcd²efh, e²fh, abce²fh, ade²fh, bcde²fh, d²e²fh, abcd²e²fh, af²h, bcf²h, df²h, abcdf²h, ad²f²h, bcd²f²h, bgh, acgh, bc²gh, abdgh, cdgh, begh, abc²egh, abdegh, cdegh, be²gh, ace²gh, abde²gh, cde²gh, abfgh, bc²fgh, bdfgh, acdfgh, abefgh, cefgh, abc²efgh, bdefgh, acdefgh, abe²fgh, bde²fgh, acde²fgh, bf²gh, acf²gh, abdf²gh, cdf²gh, ag²h, bcg²h, dg²h, abcdg²h, aeg²h, deg²h, abcdeg²h, fg²h, adfg²h, bcdfg²h, efg²h, abcefg²h, adefg²h, bcdefg²h, ah², b²h², abch², c²h², ac³h², dh², ab²dh², bcdh², ad²h², b²d²h², abcd²h², eh², abceh², c³eh², adeh², bcdeh², abc²deh², d²eh², e²h², abce²h², ade²h², d²e²h², abcd²e²h², afh², bcfh², ac³fh², dfh², abcdfh², ad²fh², bcd²fh², aefh², bcefh², c³efh², defh², abc²defh², ad²efh², bcd²efh², ae²fh², bce²fh², de²fh², abcde²fh², ad²e²fh², bcd²e²fh², f²h², abcf²h², adf²h², bcdf²h², d²f²h², abcd²f²h², abgh², cgh², abc²gh², bdgh², acdgh², abegh², bc²egh², bdegh², acdegh², abe²gh², ce²gh², bde²gh², acde²gh², bfgh², abc²fgh², abdfgh², cdfgh², befgh², acefgh², bc²efgh², cdefgh², be²fgh², abde²fgh², cde²fgh², abf²gh², cf²gh², bdf²gh², acdf²gh², g²h², abcg²h², adg²h², bcdg²h², eg²h², adeg²h², bcdeg²h², afg²h², dfg²h², abcdfg²h², aefg²h², bcefg²h², defg²h², abcdefg²h², h³, ab²h³, bch³, ac²h³, c³h³, adh³, b²dh³, abcdh³, d²h³, ab²d²h³, bcd²h³, aeh³, bceh³, ac³eh³, deh³, abcdeh³, bc²deh³, ad²eh³, ae²h³, bce²h³, de²h³, ad²e²h³, bcd²e²h³, fh³, abcfh³, c³fh³, adfh³, bcdfh³, d²fh³, abcd²fh³, efh³, abc²efh³, adefh³, bc²defh³, d²efh³, e²fh³, abce²fh³, ade²fh³, bcde²fh³, d²e²fh³, abcd²e²fh³, af²h³, bcf²h³, df²h³, abcdf²h³, ad²f²h³, bcd²f²h³, bgh³, acgh³, bc²gh³, abdgh³, cdgh³, begh³, abdegh³, cdegh³, ac²degh³, be²gh³, ace²gh³, abde²gh³, abfgh³, bdfgh³, acdfgh³, cefgh³, ac²defgh³, abe²fgh³, bde²fgh³, acde²fgh³, bf²gh³, acf²gh³, abdf²gh³, cdf²gh³, ag²h³, bcg²h³, dg²h³, abcdg²h³, aeg²h³, deg²h³, abcdeg²h³, fg²h³, adfg²h³, bcdfg²h³, efg²h³, abcefg²h³, bcdefg²h³, ah⁴, b²h⁴, abch⁴, dh⁴, ab²dh⁴, bcdh⁴, ad²h⁴, b²d²h⁴, abcd²h⁴, eh⁴, abceh⁴, adeh⁴, bcdeh⁴, d²eh⁴, e²h⁴, abce²h⁴, ade²h⁴, d²e²h⁴, abcd²e²h⁴, afh⁴, bcfh⁴, dfh⁴, abcdfh⁴, ad²fh⁴, bcd²fh⁴, aefh⁴, defh⁴, ad²efh⁴, ae²fh⁴, bce²fh⁴, de²fh⁴, abcde²fh⁴, ad²e²fh⁴, bcd²e²fh⁴, f²h⁴, abcf²h⁴, adf²h⁴, bcdf²h⁴, d²f²h⁴, abcd²f²h⁴, abgh⁴, cgh⁴, bdgh⁴, acdgh⁴, abegh⁴, bdegh⁴, acdegh⁴, abe²gh⁴, ce²gh⁴, bde²gh⁴, bfgh⁴, abdfgh⁴, cdfgh⁴, acdefgh⁴, g²h⁴, abcg²h⁴, adg²h⁴, bcdg²h⁴, eg²h⁴, adeg²h⁴, bcdeg²h⁴, afg²h⁴, dfg²h⁴, abcdfg²h⁴, aefg²h⁴, bcefg²h⁴, bi, aci, bc³i, abdi, cdi, abc²di, bd²i, acd²i, bei, acei, bc²ei, abc³ei, abdei, cdei, bd²ei, acd²ei, be²i, ace²i, abde²i, cde²i, bd²e²i, acd²e²i, abfi, cfi, abc²fi, bc³fi, bdfi, acdfi, abd²fi, cd²fi, abefi, cefi, abc³efi, bdefi, acdefi, bc²defi, abd²efi, cd²efi, abe²fi, ce²fi, bde²fi, acde²fi, abd²e²fi, cd²e²fi, bf²i, acf²i, abdf²i, cdf²i, bd²f²i, acd²f²i, agi, c²gi, dgi, abcdgi, aegi, bcegi, ac²egi, degi, abcdegi, ae²gi, de²gi, abcde²gi, fgi, abcfgi, c²fgi, adfgi, bcdfgi, efgi, ac²efgi, adefgi, bcdefgi, e²fgi, abce²fgi, ade²fgi, bcde²fgi, af²gi, df²gi, abcdf²gi, bg²i, abdg²i, cdg²i, beg²i, aceg²i, abdeg²i, cdeg²i, abfg²i, cfg²i, bdfg²i, acdfg²i, abefg²i, bdefg²i, acdefg²i, abhi, chi, abc³hi, bdhi, acdhi, abd²hi, cd²hi, abehi, cehi, abc²ehi, bc³ehi, bdehi, acdehi, abd²ehi, cd²ehi, abe²hi, ce²hi, bde²hi, acde²hi, abd²e²hi, cd²e²hi, bfhi, acfhi, bc²fhi, abc³fhi, abdfhi, cdfhi, bd²fhi, acd²fhi, befhi, acefhi, bc³efhi, abdefhi, cdefhi, bd²efhi, acd²efhi, be²fhi, ace²fhi, abde²fhi, cde²fhi, bd²e²fhi, acd²e²fhi, abf²hi, cf²hi, bdf²hi, acdf²hi, abd²f²hi, cd²f²hi, ghi, ac²ghi, adghi, bcdghi, eghi, abceghi, c²eghi, adeghi, bcdeghi, e²ghi, ade²ghi, bcde²ghi, afghi, bcfghi, ac²fghi, dfghi, abcdfghi, aefghi, c²efghi, defghi, abcdefghi, ae²fghi, bce²fghi, de²fghi, abcde²fghi, f²ghi, adf²ghi, bcdf²ghi, abg²hi, bdg²hi, acdg²hi, abeg²hi, ceg²hi, bdeg²hi, acdeg²hi, bfg²hi, acfg²hi, abdfg²hi, cdfg²hi, befg²hi, abdefg²hi, cdefg²hi, bh²i, ach²i, bc³h²i, abdh²i, cdh²i, ac²dh²i, bd²h²i, beh²i, aceh²i, bc²eh²i, abc³eh²i, abdeh²i, bd²eh²i, acd²eh²i, be²h²i, ace²h²i, abde²h²i, cde²h²i, bd²e²h²i, abfh²i, cfh²i, bc³fh²i, bdfh²i, ac²dfh²i, abd²fh²i, cd²fh²i, abefh²i, cefh²i, abc³efh²i, bdefh²i, acdefh²i, abd²efh²i, cd²efh²i, abe²fh²i, ce²fh²i, bde²fh²i, abd²e²fh²i, cd²e²fh²i, bf²h²i, acf²h²i, abdf²h²i, cdf²h²i, bd²f²h²i, agh²i, c²gh²i, dgh²i, abcdgh²i, aegh²i, bcegh²i, ac²egh²i, degh²i, abcdegh²i, ae²gh²i, de²gh²i, abcde²gh²i, fgh²i, abcfgh²i, c²fgh²i, bcdfgh²i, efgh²i, ac²efgh²i, adefgh²i, bcdefgh²i, e²fgh²i, abce²fgh²i, bcde²fgh²i, af²gh²i, df²gh²i, abcdf²gh²i, bg²h²i, abdg²h²i, cdg²h²i, beg²h²i, aceg²h²i, abdeg²h²i, cdeg²h²i, abfg²h²i, cfg²h²i, bdfg²h²i, acdfg²h²i, abefg²h²i, bdefg²h²i, acdefg²h²i, abh³i, ch³i, abc³h³i, bdh³i, acdh³i, c²dh³i, abd²h³i, abeh³i, ceh³i, bc³eh³i, bdeh³i, ac²deh³i, abd²eh³i, cd²eh³i, abe²h³i, ce²h³i, bde²h³i, acde²h³i, abd²e²h³i, bfh³i, abc³fh³i, abdfh³i, c²dfh³i, bd²fh³i, befh³i, acefh³i, bc³efh³i, abdefh³i, cdefh³i, bd²efh³i, acd²efh³i, be²fh³i, abde²fh³i, bd²e²fh³i, abf²h³i, cf²h³i, bdf²h³i, acdf²h³i, abd²f²h³i, gh³i, ac²gh³i, adgh³i, bcdgh³i, egh³i, abcegh³i, c²egh³i, e²gh³i, ade²gh³i, bcde²gh³i, afgh³i, bcfgh³i, ac²fgh³i, abcdfgh³i, aefgh³i, c²efgh³i, defgh³i, abcdefgh³i, ae²fgh³i, bce²fgh³i, abcde²fgh³i, f²gh³i, adf²gh³i, bcdf²gh³i, abg²h³i, bdg²h³i, acdg²h³i, abeg²h³i, ceg²h³i, bdeg²h³i, acdeg²h³i, bfg²h³i, acfg²h³i, abdfg²h³i, cdfg²h³i, befg²h³i, abdefg²h³i, cdefg²h³i, bh⁴i, ach⁴i, abdh⁴i, cdh⁴i, bd²h⁴i, beh⁴i, abdeh⁴i, bd²eh⁴i, be²h⁴i, ace²h⁴i, abde²h⁴i, cde²h⁴i, bd²e²h⁴i, abfh⁴i, bdfh⁴i, abd²fh⁴i, abefh⁴i, cefh⁴i, bdefh⁴i, acdefh⁴i, abd²efh⁴i, cd²efh⁴i, agh⁴i, dgh⁴i, abcdgh⁴i, aegh⁴i, bcegh⁴i, ae²gh⁴i, de²gh⁴i, abcde²gh⁴i, fgh⁴i, abcfgh⁴i, bcdfgh⁴i, efgh⁴i, adefgh⁴i, bcdefgh⁴i, bg²h⁴i, abdg²h⁴i, cdg²h⁴i, beg²h⁴i, aceg²h⁴i, abdeg²h⁴i, cdeg²h⁴i, abfg²h⁴i, cfg²h⁴i, bdfg²h⁴i, acdfg²h⁴i, abefg²h⁴i, bdefg²h⁴i, acdefg²h⁴i, i², abci², adi², bcdi², d²i², abcd²i², afi², bcfi², dfi², abcdfi², ad²fi², bcd²fi², f²i², abcf²i², adf²i², bcdf²i², d²f²i², abcd²f²i², ahi², bchi², dhi², abcdhi², ad²hi², bcd²hi², fhi², abcfhi², adfhi², bcdfhi², d²fhi², abcd²fhi², af²hi², bcf²hi², df²hi², abcdf²hi², ad²f²hi², bcd²f²hi², h²i², abch²i², adh²i², d²h²i², abcd²h²i², afh²i², bcfh²i², dfh²i², abcdfh²i², ad²fh²i², bcd²fh²i², f²h²i², abcf²h²i², adf²h²i², d²f²h²i², abcd²f²h²i², ah³i², bch³i², dh³i², ad²h³i², bcd²h³i², fh³i², abcfh³i², adfh³i², bcdfh³i², d²fh³i², abcd²fh³i², af²h³i², bcf²h³i², df²h³i², ad²f²h³i², bcd²f²h³i², h⁴i², abch⁴i², adh⁴i², d²h⁴i², abcd²h⁴i²}

Phi = 1 a b b² b 1 c b²d ab d b e b 1 bd f g h i

Monoid Structure