Details Page for 0.4105

Complete Solution is Known:

MSV File: q-0.4105.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₂(0.4105):

Q = <a,b,c,d,e,f,g | a²=1, b⁵=b³, b³c²=b³, b²c⁷=b⁴c, c¹⁴=c⁸, b²d=ab², bc³d=abc³, bd²=abd, c⁶d³=ac⁶d², d⁴=ad³, b²e=ab⁴, bc⁷e=ab³c, c¹⁰e=c⁸e, c⁸d²e=ab⁴, d³e²=ad²e², e³=ae², b³f=b⁴, b²f²=b⁴, bc⁹f²=bc³f², c¹⁰f²=c⁴f², bcdf²=abc⁷f², d³f²=ad²f², bc³ef²=ab³c, c⁶ef²=c⁴ef², bdef²=b³, c⁵def²=c³def², d²ef²=ab⁴, be²f²=abef², bc³f³=b⁴c, c⁶f³=c⁴f³, bdf³=ab⁴, bef³=abf³, c²def³=def³, ce²f³=acef³, de²f³=adef³, bf⁴=abef², c²df⁴=df⁴, d²f⁴=b⁴, cef⁴=acf⁴, def⁴=adf⁴, cf⁵=acef³, df⁵=adef³, ef⁵=ef³, f⁶=f⁴, b³g=b⁴, bdg=abg, d³g=ad²g, eg=be, bc⁷f²g=bcf²g, bf³g=b³, c³df³g=ac³f³g, d²f³g=adf³g, f⁴g=abef², g²=b⁴>

P = {a, b², b⁴, c², b²c², c⁴, b²c⁴, c⁶, b²c⁶, c⁸, c¹⁰, c¹², acd, ac³d, ac⁵d, ac⁷d, ac⁹d, ac¹¹d, ac¹³d, d², c²d², c⁴d², c⁶d², c⁸d², c¹⁰d², c¹²d², ad³, ac²d³, ac⁴d³, ce, c³e, c⁵e, c⁷e, c⁹e, ad²e, ac²d²e, ac⁴d²e, ac⁶d²e, d³e, c²d³e, c⁴d³e, e², c²e², c⁴e², c⁶e², c⁸e², ade², ac²de², ac⁴de², ac⁶de², ac⁸de², d²e², c²d²e², c⁴d²e², c⁶d²e², af, bcf, c³f, bc⁴f, bc⁶f, bc⁸f, bc¹⁰f, bc¹²f, abdf, abc²df, ef, abcef, bc³ef, c⁵ef, abc⁶ef, bdef, ac⁵def, c⁵d³ef, bce²f, abc³e²f, abc⁵e²f, c⁷e²f, abde²f, ac⁷de²f, c⁷d²e²f, af², c²f², c⁴f², c⁶f², c⁸f², acdf², ac³df², ac⁵df², ac⁷df², ac⁹df², d²f², c²d²f², c⁴d²f², c⁶d²f², c⁸d²f², ac²ef², c⁵ef², cdef², e²f², c²e²f², c⁴e²f², acde²f², ac⁴de²f², af³, bcf³, c³f³, ef³, ac³ef³, af⁴, c²f⁴, c⁴f⁴, acdf⁴, e²f⁴, af⁵, bg, ac²g, abc³g, ac⁵g, bc⁶g, ac⁸g, abc⁹g, ac¹¹g, bc¹²g, c²dg, c⁵dg, c⁸dg, c¹¹dg, ac⁵d²g, ac¹¹d²g, b²fg, ac²fg, b²c²fg, abc⁴fg, ab²c⁵fg, c⁶fg, abc⁷fg, ac⁹fg, ac¹¹fg, ac¹³fg, adfg, c³dfg, ac⁶dfg, c⁹dfg, c¹¹dfg, c¹³dfg, d²fg, ac³d²fg, c⁶d²fg, ac⁹d²fg, ac¹¹d²fg, ac¹³d²fg, bf²g, bc²f²g, ac⁴f²g, abc⁵f²g, ac⁷f²g, c⁴df²g, c⁷df²g, ac⁷d²f²g, cf³g, ac⁵f³g, adf³g, ac²df³g}

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

Monoid Structure