Details Page for 0.207

Complete Solution is Known:

MSV File: q-0.207.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₄(0.207):

Q = <a,b,c,d,e,f,g,h | a²=1, b³=b, b²c=c, c⁵=ac⁴, c⁴d=bc⁴, d³=d, b²e=e, e²=b², c⁴f=ac⁴e, c³f²=c³, f³=f, b²g=g, c⁴g=abc⁴, c³g²=c³, g³=g, c⁴h=ac⁴, c³dh=bc⁴, c³h²=bc³gh, dfg²h²=d²ef²gh², bdfh³=d²ef²h², cdfh³=bcd²ef²h², defh³=bd²f²h², gh³=bg²h², h⁴=h²>

P = {a, b², abc, c², ac³, c⁴, d, ab²d, bcd, abc³d, ad², b²d², abcd², c²d², ac³d², be, ace, bc²e, abde, cde, abc²de, bd²e, acd²e, bc²d²e, f, ab²f, bcf, adf, b²df, abcdf, c²df, d²f, ab²d²f, bcd²f, abef, cef, abc²ef, c³ef, bdef, acdef, bc²def, abd²ef, cd²ef, abc²d²ef, c³d²ef, af², b²f², abcf², c²f², df², ab²df², bcdf², ad²f², b²d²f², abcd²f², c²d²f², bef², acef², bc²ef², abdef², cdef², abc²def², bd²ef², acd²ef², bc²d²ef², bg, acg, bc²g, abdg, cdg, c³dg, bd²g, acd²g, bc²d²g, eg, abceg, c²eg, ac³eg, adeg, bcdeg, d²eg, abcd²eg, c²d²eg, ac³d²eg, abfg, cfg, abc²fg, c³fg, bdfg, acdfg, bc²dfg, abd²fg, cd²fg, abc²d²fg, c³d²fg, aefg, bcefg, defg, abcdefg, c²defg, ac³defg, ad²efg, bcd²efg, bf²g, acf²g, bc²f²g, abdf²g, cdf²g, bd²f²g, acd²f²g, bc²d²f²g, ef²g, abcef²g, c²ef²g, adef²g, bcdef²g, d²ef²g, abcd²ef²g, c²d²ef²g, g², abcg², c²g², adg², bcdg², d²g², abcd²g², c²d²g², beg², aceg², bc²eg², abdeg², cdeg², abc²deg², bd²eg², acd²eg², bc²d²eg², afg², bcfg², dfg², abcdfg², c²dfg², ad²fg², bcd²fg², abefg², cefg², abc²efg², bdefg², acdefg², bc²defg², abd²efg², cd²efg², abc²d²efg², f²g², abcf²g², c²f²g², adf²g², bcdf²g², d²f²g², abcd²f²g², c²d²f²g², bef²g², acef²g², bc²ef²g², abdef²g², cdef²g², abc²def²g², bd²ef²g², acd²ef²g², bc²d²ef²g², ah, b²h, abch, c³h, dh, ab²dh, bcdh, ac²dh, ad²h, b²d²h, abcd²h, beh, aceh, bc²eh, abdeh, cdeh, abc²deh, bd²eh, acd²eh, bc²d²eh, fh, ab²fh, bcfh, ac²fh, adfh, b²dfh, abcdfh, c²dfh, d²fh, ab²d²fh, bcd²fh, ac²d²fh, abefh, cefh, abc²efh, bdefh, acdefh, bc²defh, abd²efh, cd²efh, af²h, b²f²h, abcf²h, df²h, ab²df²h, bcdf²h, ac²df²h, ad²f²h, b²d²f²h, abcd²f²h, bef²h, acef²h, bc²ef²h, abdef²h, cdef²h, bd²ef²h, acd²ef²h, bc²d²ef²h, bgh, acgh, bc²gh, abc³gh, abdgh, cdgh, bd²gh, acd²gh, bc²d²gh, egh, abcegh, adegh, bcdegh, ac²degh, d²egh, abcd²egh, abfgh, cfgh, bdfgh, acdfgh, bc²dfgh, abd²fgh, cd²fgh, aefgh, bcefgh, ac²efgh, bc³efgh, defgh, abcdefgh, ad²efgh, bcd²efgh, bf²gh, acf²gh, bc²f²gh, abdf²gh, cdf²gh, bd²f²gh, acd²f²gh, bc²d²f²gh, ef²gh, abcef²gh, adef²gh, bcdef²gh, ac²def²gh, d²ef²gh, abcd²ef²gh, g²h, abcg²h, adg²h, bcdg²h, d²g²h, abcd²g²h, beg²h, aceg²h, bc²eg²h, abdeg²h, cdeg²h, abc²deg²h, bd²eg²h, acd²eg²h, bc²d²eg²h, afg²h, bcfg²h, ac²fg²h, dfg²h, abcdfg²h, c²dfg²h, ad²fg²h, bcd²fg²h, ac²d²fg²h, abefg²h, cefg²h, abc²efg²h, bdefg²h, acdefg²h, bc²defg²h, abd²efg²h, cd²efg²h, f²g²h, abcf²g²h, adf²g²h, bcdf²g²h, d²f²g²h, abcd²f²g²h, bef²g²h, acef²g²h, bc²ef²g²h, abdef²g²h, cdef²g²h, bd²ef²g²h, acd²ef²g²h, bc²d²ef²g²h, ah², b²h², abch², c²h², dh², ab²dh², bcdh², ad²h², b²d²h², abcd²h², c²d²h², beh², aceh², bc²eh², abdeh², cdeh², abc²deh², bd²eh², acd²eh², bc²d²eh², fh², ab²fh², bcfh², adfh², b²dfh², abcdfh², c²dfh², d²fh², ab²d²fh², bcd²fh², abefh², cefh², abc²efh², bdefh², acdefh², abd²efh², cd²efh², abc²d²efh², af²h², b²f²h², abcf²h², c²f²h², df²h², ab²df²h², bcdf²h², ad²f²h², b²d²f²h², abcd²f²h², c²d²f²h², bef²h², acef²h², bc²ef²h², abdef²h², cdef²h², abc²def²h², bd²ef²h², acd²ef²h², bc²d²ef²h², bgh², acgh², abdgh², cdgh², bd²gh², acd²gh², egh², abcegh², c²egh², adegh², bcdegh², ac²degh², d²egh², abcd²egh², c²d²egh², abfgh², cfgh², abc²fgh², bdfgh², acdfgh², bc²dfgh², abd²fgh², cd²fgh², abc²d²fgh², aefgh², bcefgh², ac²efgh², defgh², abcdefgh², c²defgh², ad²efgh², bcd²efgh², bf²gh², acf²gh², abdf²gh², cdf²gh², bd²f²gh², acd²f²gh², ef²gh², abcef²gh², c²ef²gh², adef²gh², bcdef²gh², d²ef²gh², abcd²ef²gh², c²d²ef²gh², g²h², abcg²h², c²g²h², adg²h², bcdg²h², d²g²h², abcd²g²h², c²d²g²h², beg²h², aceg²h², bc²eg²h², abdeg²h², cdeg²h², abc²deg²h², bd²eg²h², acd²eg²h², bc²d²eg²h², afg²h², bcfg²h², abefg²h², cefg²h², abc²efg²h², f²g²h², abcf²g²h², c²f²g²h², bef²g²h², acef²g²h², bc²ef²g²h², ah³, b²h³, abch³, dh³, ab²dh³, bcdh³, ac²dh³, ad²h³, b²d²h³, abcd²h³, beh³, aceh³, bc²eh³, abdeh³, cdeh³, abc²deh³, bd²eh³, acd²eh³, bc²d²eh³, fh³, ab²fh³, bcfh³, ac²fh³, adfh³, d²fh³, abefh³, cefh³, abc²efh³, af²h³, b²f²h³, abcf²h³, df²h³, ad²f²h³, bef²h³, acef²h³, bc²ef²h³}

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

Monoid Structure