Details Page for 0.0304

Complete Solution is Known:

MSV File: q-0.0304.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₄(0.0304):

Q = <a,b,c,d,e,f,g,h | a²=1, b⁴=b², b²c³=b²c, bc⁹=bc⁷, c¹⁰=c⁸, b²d=b³, bc³d²=bc⁷, c⁶d²=c⁴d², bd⁴=bd², d⁵=d³, b²e=ab², bc⁷e²=b³c, be³=abe², ce³=ace², d³e³=ad³e², e⁴=ae³, b²f=ab², bc³f=abc³, bc²d²ef=abc⁸e, c⁵d²ef=c³d²ef, c⁴d³ef=c²d³ef, bd²e²f=ab³, bcf²=abcf, c⁴d²f²=c⁸f², d⁴f²=d²f², bef²=abef, c²d²ef²=c⁸ef², c⁸e²f²=b²c², d²e²f²=b², e³f²=ae²f², bf³=abf², c⁷f³=ac⁷f², cd²f³=acd²f², d²ef³=ad²ef², e²f³=ae²f², f⁴=af³, b²cg=b²c, bc⁵g=bc⁵, c⁶g=c⁶, c²d²g=c⁴d², bce²g=abce²f, c⁴e²g=c⁴e², bd²e²g=b³g, bfg=abg, c³e²fg=c³e²f, ce²f²g=ce²f², d²f³g=ad²f²g, b²g²=b²c², bc³g²=bc³g, c⁴g²=c⁴g, bcd²g²=bcd²g, c²e²g²=c²e²g, e³g²=ae²g², c³f²g²=c³f²g, cd²ef²g²=cd²ef²g, g³=g², b²h=b³, bc⁵h=bc³h, c⁹h=c⁷h, bd²h=bh, c⁴d²h=c⁸h, c²d⁴h=c²d²h, bc⁴eh=bc²eh, c³d²eh=c⁷eh, be²h=b², c²e²h=bc²e², bcfh=abch, c⁷fh=ac⁷h, c³d²fh=ac³d²h, befh=abeh, c²d²efh=ac⁸eh, c²d²f²h=ac²d²fh, e²f²h=abe²f, bc²gh=bc⁴h, c⁴gh=c⁴h, c³egh=c³eh, c²efgh=c²efh, bcg²h=bcgh, c²g²h=c²gh, d⁴g²h=d²g²h, cd²eg²h=cd²ef²gh, e²g²h=be²g², d²fg²h=ad²g²h, cef²g²h=cef²gh, c⁶h²=c⁴h², d²h²=h², c⁴eh²=c²eh², e²h²=b², bfh²=abh², cfh²=ach², f³h²=af²h², c²gh²=c⁴h², f²gh²=afgh², ceg²h²=cegh², fg²h²=ag²h², bc³h³=b²c, eh³=beh², bgh³=b²g, fgh³=agh³, h⁴=abdeh²>

P = {a, b², c², b²c², c⁴, c⁶, c⁸, ad, bcd, c³d, bc⁴d, bc⁶d, bc⁸d, ad², c²d², c⁴d², ad³, bcd³, c³d³, ad⁴, c²d⁴, c⁴d⁴, ce, c³e, c⁵e, c⁷e, c⁹e, de, abcde, bc³de, c⁵de, abc⁶de, abc⁸de, ac²d²e, c⁵d²e, d³e, abcd³e, ac³d³e, ac²d⁴e, ac⁴d⁴e, e², c²e², c⁴e², c⁶e², c⁸e², bcde², abc³de², abc⁵de², c⁷de², d²e², c²d²e², c⁴d²e², bcd³e², c³d³e², d⁴e², c²d⁴e², c⁴d⁴e², ae³, ad²e³, acf, ac³f, ac⁵f, ac⁷f, ac⁹f, abdf, abc²df, acd²f, ac³d²f, ac⁵d²f, abd³f, abc²d³f, acd⁴f, ac³d⁴f, ac⁵d⁴f, bdef, ac⁵def, cd²ef, bd³ef, cd⁴ef, c³d⁴ef, ae²f, ac²e²f, ac⁴e²f, ac⁶e²f, ac⁸e²f, abde²f, ac⁷de²f, acd²e²f, ac⁴d²e²f, acd⁴e²f, ac³d⁴e²f, e³f, f², c²f², c⁴f², c⁶f², c⁸f², bdf², d²f², c²d²f², bd³f², aef², ac²ef², ac⁴ef², ac⁶ef², ac⁸ef², ad²ef², e²f², c²e²f², c⁴e²f², c⁶e²f², c⁷de²f², af³, ac²f³, ac⁴f³, ac⁶f³, ad²f³, ef³, c²ef³, c⁴ef³, c⁶ef³, c⁵def³, bg, b³g, c²g, c⁴g, cdg, bc²dg, bc⁴dg, bd²g, cd³g, abeg, c³eg, c⁵eg, acdeg, c³deg, abc⁴deg, abd²eg, acd³eg, be²g, c²e²g, cde²g, cd³e²g, ac³fg, ac⁵fg, adfg, ad³fg, defg, ac³defg, d³efg, ac²e²fg, ade²fg, ad³e²fg, de³fg, c²f²g, c⁴f²g, df²g, d³f²g, ac²ef²g, ac⁴ef²g, adef²g, ad³ef²g, de²f²g, ac²f³g, ac⁴f³g, adf³g, c²ef³g, c⁴ef³g, def³g, g², c²g², bdg², bc²dg², d²g², bd³g², d⁴g², aeg², c³eg², abdeg², abc²deg², ad²eg², abd³eg², ad⁴eg², e²g², bde²g², d²e²g², d⁴e²g², afg², ac³fg², ad²fg², ad⁴fg², efg², d²efg², d⁴efg², ae²fg², ad²e²fg², ad⁴e²fg², f²g², c²f²g², d²f²g², aef²g², ac²ef²g², ad²ef²g², e²f²g², af³g², ac²f³g², ef³g², c²ef³g², ah, bc²h, bc⁴h, adh, c⁴dh, c⁶dh, c⁸dh, ad²h, ad³h, ad⁴h, abeh, abc²eh, acdeh, c³deh, c⁵deh, ac⁸deh, acd³eh, cde²h, cd³e²h, fh, ac²dfh, ac⁴dfh, ac⁶dfh, d²fh, ac²d³fh, d⁴fh, defh, ac³defh, ac⁵defh, d³efh, ade²fh, ad³e²fh, de³fh, bf²h, c²df²h, c⁴df²h, c⁶df²h, adef²h, c³def²h, c⁵def²h, ad³ef²h, adf³h, ac²df³h, ac⁴df³h, ac⁶df³h, ad³f³h, def³h, ac³def³h, c⁶def³h, bdgh, c²dgh, aegh, abdegh, ad²egh, ad⁴egh, e²gh, d²e²gh, d⁴e²gh, ae³gh, ad²e³gh, cfgh, ac²dfgh, acd²fgh, acd⁴fgh, efgh, cd²efgh, cd⁴efgh, ae²fgh, acd⁴e²fgh, e³fgh, d²e³fgh, acf²gh, c²df²gh, d²f²gh, aef²gh, ad²ef²gh, cf³gh, ac²df³gh, ef³gh, bg²h, dg²h, d³g²h, abeg²h, adeg²h, ad³eg²h, adfg²h, defg²h, df²g²h, adef²g²h, adf³g²h, def³g²h, ah², c²h², c⁴h², adh², abcdh², abc³dh², ac²eh², deh², bcdeh², bc³deh², f²h², aef²h², bgh², abegh², adfgh², defgh², g²h², bdg²h², aeg²h², abdeg²h², ah³, abch³, ac³h³, acdh³, ac³dh³, ac⁵dh³, fh³, acgh³, dg²h³}

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

Monoid Structure