Details Page for 0.3245

Complete Solution is Known:

MSV File: q-0.3245.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₈(0.3245):

Q = <a,b,c,d,e,f,g,h | a²=1, b⁶=b⁴, b⁴c=b²c, b²c²=c², c⁴=c², c²d=c³, bcd²=bc, cd³=cd, d⁴=d², b²ce=ce, c²e=bc³, bd²e=be, cd²e=ce, d³e=de, b²e²=b²d², ce²=b²c, be³=be, de³=de, e⁴=e², c²f=c³, b²cf²=c³, cef²=bc², bcf³=bc², cdf³=c³, b⁴d²f³=b²cdf, b⁴ef³=cdef, d²ef³=ef³, e³f³=ef³, b²f⁴=f⁴, cf⁴=c³, df⁴=c³, ef⁴=bc³, f⁵=c³, b³g=bg, b²cg=cg, c²g=ac², cd²g=cg, b²eg=eg, d²eg=eg, e²g=b²d²g, cfg=ac², bd²f²g=ab³cf, ef²g=acef, b²f³g=f³g, df³g=af⁴, f⁴g=af⁴, b²g²=g², ceg²=bcdg², d²f²g²=c², f³g²=af³g, g³=ag², b⁴h=b²h, c²h=bc², cd²h=ch, b³eh=beh, d²eh=eh, be²h=b³d²h, e³h=eh, b²cfh=b³cf, cefh=bcef, b²f²h=b⁵f², ef²h=b³ef², cf³h=bc², bd²f³h=ad³f²g, f⁴h=bf⁴, b²gh=gh, f²gh=bf²g, b³h²=bh², ch²=b⁴d³f², b²eh²=eh², e²h²=b²d²h², bf²h²=b⁵f², f³h²=b⁴f³, d²g²h²=efg²h, eg²h²=d²fg²h, b²h³=h³, f²h³=b⁵f², fg²h³=bfg²h², h⁴=bh³>

P = {a, b², b⁴, c², ad, bcd, b³cd, ad², b²d², b⁴d², ad³, e, abce, de, ab²de, ab⁴de, d²e, ae², ade², ad²e², e³, cf, b²cf, adf, b³df, b⁵df, cd²f, ad³f, b³d³f, b⁵d³f, ef, ab³ef, ab⁵ef, d²ef, ade²f, e³f, abf², b⁴f², cdf², abd²f², b⁴d²f², def², b²def², ab⁵def², e³f², abf³, abdf³, ab³df³, ab⁵df³, d³f³, b²d³f³, bef³, b³ef³, de²f³, abf⁴, ag, ab²g, abcdg, ad²g, ab²d²g, deg, abdfg, abd³fg, ab²f²g, g², bcdg², d²g², adeg², bdfg², bd³fg², f²g², bh, b³h, bd²h, b³d²h, aceh, abdeh, bcfh, adfh, ad³fh, ab²efh, ade²fh, af²h, abdf²h, abd³f²h, af³h, abgh, abd²gh, bdegh, bg²h, bd²g²h, abdeg²h, efg²h, h², b²h², d²h², b²d²h², dfh², b²dfh², d³fh², b²d³fh², abefh², agh², ad²gh², adfgh², ad³fgh², g²h², dfg²h², bh³, bd²h³, deh³, bdfh³, bd³fh³, abgh³, abd²gh³, adegh³, abdfgh³, abd³fgh³, aefgh³, bg²h³}

Phi = 1 a 1 b a ab b c a ab d e ab ac f b³ ab g h

Monoid Structure