Details Page for 0.1306

Complete Solution is Known:

MSV File: q-0.1306.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₈(0.1306):

Q = <a,b,c,d,e,f | a²=1, b⁵=b³, b⁴c²=b²c², b³c³=bc³, b²c⁴=c⁴, c⁶=c⁴, b³d=ab⁴, b²c²d=ab³c², bc³d=ab²c³, c⁴d=abc⁴, c³d²=c³, c²d⁴=c²d², b²d⁵=b²d³, d⁶=d⁴, b²c²e=b²c³, c³e=c⁴, b⁴e³=b²e³, b²de³=ab³e³, d⁴e³=d²e³, b²ce⁴=b⁴ce², c²e⁴=c⁴, b²e⁵=b²e³, bce⁵=b³ce³, d²e⁵=e⁵, e⁷=e⁵, c⁴f=ac⁵, b³ce²f=abc⁴, b²e³f=ab²ce³, ce⁴f=c²e³f, e⁵f=ab²ce³, b²c²f²=b²c², c³f²=c³, b³cf³=b³cf, b²ce²f⁴=b²ce²f², b²cf⁵=b²cf³, bc²f⁶=bc²f², c²e²f⁶=c²e²f², e⁴f⁶=e⁴f², bf⁷=bf³, cf⁷=cf³, e²f⁷=e²f³, f⁸=f⁴>

P = {a, b², b⁴, c², b²c², c⁴, ad, bcd, ac³d, ad², b²d², c²d², ad³, bcd³, ad⁴, b²d⁴, ad⁵, bcd⁵, ae, bce, b³ce, ade, ab²cde, ac²de, ad²e, bcd²e, ad³e, ab²cd³e, ac²d³e, ad⁴e, bcd⁴e, ad⁵e, ae², b²e², b⁴e², c²e², ade², abc²de², ad²e², b²d²e², c²d²e², ad³e², abc²d³e², ad⁴e², b²d⁴e², ad⁵e², ae³, bce³, b³ce³, ade³, ad²e³, bcd²e³, ad³e³, ae⁴, b²e⁴, ade⁴, ad²e⁴, ad³e⁴, ae⁵, ade⁵, ae⁶, ade⁶, f, abcf, b³cf, bc³f, df, abcdf, d²f, abcd²f, d³f, abcd³f, d⁴f, abcd⁴f, d⁵f, abcd⁵f, ef, b²ef, b⁴ef, bc²ef, abdef, d²ef, b²d²ef, bc²d²ef, abd³ef, d⁴ef, b²d⁴ef, abd⁵ef, ace²f, ab²ce²f, bcde²f, acd²e²f, ab²cd²e²f, bcd³e²f, acd⁴e²f, ab²cd⁴e²f, bcd⁵e²f, abe³f, ac²e³f, de³f, bc²de³f, abd²e³f, ac²d²e³f, d³e³f, bc²d³e³f, af², b²f², b⁴f², c²f², adf², bcdf², ad²f², b²d²f², c²d²f², ad³f², bcd³f², ad⁴f², b²d⁴f², ad⁵f², bcd⁵f², cef², b²cef², b⁴cef², ac²def², cd²ef², b²cd²ef², ac²d³ef², cd⁴ef², b²cd⁴ef², e²f², b²e²f², b⁴e²f², c²e²f², abde²f², abc²de²f², d²e²f², b²d²e²f², c²d²e²f², abd³e²f², abc²d³e²f², d⁴e²f², b²d⁴e²f², abd⁵e²f², ce³f², abcde³f², cd²e³f², abcd³e³f², e⁴f², abde⁴f², d²e⁴f², abd³e⁴f², f³, abcf³, df³, abcdf³, d²f³, abcd²f³, d³f³, abcd³f³, d⁴f³, abcd⁴f³, d⁵f³, abcd⁵f³, abef³, b³ef³, bc²ef³, def³, ab²def³, abcd²ef³, d³ef³, ab²d³ef³, c²d³ef³, abcd⁴ef³, d⁵ef³, ace²f³, ab²ce²f³, bcde²f³, ab²cd²e²f³, cd³e²f³, abcd⁴e²f³, cd⁵e²f³, ae³f³, ac²e³f³, bde³f³, bc²de³f³, ad²e³f³, ac²d²e³f³, bd³e³f³, bc²d³e³f³, af⁴, b²f⁴, b⁴f⁴, c²f⁴, adf⁴, bcdf⁴, ad²f⁴, b²d²f⁴, c²d²f⁴, ad³f⁴, bcd³f⁴, ad⁴f⁴, b²d⁴f⁴, ad⁵f⁴, bcd⁵f⁴, cef⁴, b²cef⁴, adef⁴, ac²def⁴, ad²ef⁴, bcd²ef⁴, ad³ef⁴, bcd³ef⁴, ad⁴ef⁴, bcd⁴ef⁴, ad⁵ef⁴, bcd⁵ef⁴, e²f⁴, b²e²f⁴, b⁴e²f⁴, c²e²f⁴, abde²f⁴, abc²de²f⁴, b²d²e²f⁴, c²d²e²f⁴, ad³e²f⁴, bcd³e²f⁴, ad⁴e²f⁴, b²d⁴e²f⁴, ad⁵e²f⁴, bcd⁵e²f⁴, ce³f⁴, abcde³f⁴, cd²e³f⁴, e⁴f⁴, abde⁴f⁴, d²e⁴f⁴, abd³e⁴f⁴, f⁵, abcf⁵, df⁵, abcdf⁵, d²f⁵, abcd²f⁵, d³f⁵, abcd³f⁵, d⁴f⁵, abcd⁴f⁵, d⁵f⁵, abcd⁵f⁵, abef⁵, b³ef⁵, bc²ef⁵, def⁵, ab²def⁵, d²ef⁵, abcd²ef⁵, d³ef⁵, ab²d³ef⁵, c²d³ef⁵, d⁴ef⁵, abcd⁴ef⁵, d⁵ef⁵, ace²f⁵, de²f⁵, bcde²f⁵, d²e²f⁵, d³e²f⁵, d⁴e²f⁵, abcd⁴e²f⁵, d⁵e²f⁵, abcd⁵e²f⁵, ae³f⁵, ac²e³f⁵, bde³f⁵, bc²de³f⁵, ac²d²e³f⁵, d³e³f⁵, abcd³e³f⁵, af⁶, b²f⁶, b⁴f⁶, c²f⁶, adf⁶, bcdf⁶, ad²f⁶, b²d²f⁶, c²d²f⁶, ad³f⁶, bcd³f⁶, ad⁴f⁶, b²d⁴f⁶, ad⁵f⁶, bcd⁵f⁶, cef⁶, adef⁶, ac²def⁶, ad²ef⁶, bcd²ef⁶, ad³ef⁶, bcd³ef⁶, ad⁴ef⁶, bcd⁴ef⁶, ad⁵ef⁶, bcd⁵ef⁶, be²f⁶, b³e²f⁶, ade²f⁶, ab²de²f⁶, bd²e²f⁶, ad³e²f⁶, ab²d³e²f⁶, bd⁴e²f⁶, ad⁵e²f⁶, ce³f⁶, abcde³f⁶, cd²e³f⁶, f⁷, df⁷, d²f⁷, d³f⁷, d⁴f⁷, d⁵f⁷, def⁷, d²ef⁷, d³ef⁷, d⁴ef⁷, d⁵ef⁷}

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

Monoid Structure