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 Q₁₇(0.3127):

Q = <a,b,c,d,e,f,g,h | 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>

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}

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

Monoid Structure