Details Page for 0.3315

Complete Solution is Known:

MSV File: q-0.3315.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₅(0.3315):

Q = <a,b,c,d,e,f,g,h | a²=1, b⁴=b², b²c=ab³, bc²=b, c³=c, c²d=d, b²d⁴=d⁴, cd⁴=abd⁴, d⁶=d⁴, b³e=be, bce=ab²e, c²e=e, d⁴e=ad⁴, b²e²=e², ce²=abe², e³=ae², c²f=f, d⁴f=d⁵, df²=d⁵, f⁴=f², b³dg=bdg, bcdg=ab²dg, d³g=d³ef, deg=de²f, e²g=ae²f, efg=aef², f²g=af³, d²g²=d⁴, beg²=bef², fg²=f³, b²g⁴=b²g², bdg⁴=bdg², g⁶=g², b³h=bh, bch=ab²h, c²h=h, b²d³h=d³h, cd³h=abd³h, d⁴h=ad⁴, b²eh=eh, ceh=abeh, b²dfh=dfh, cdfh=abdfh, b²dgh=dgh, cdgh=abdgh, dfgh=ab²dfg, dg²h=ab²dg², eg²h=ef²h, bg⁴h=bg²h, b²h²=h², ch²=abh², e²h²=d⁴, d²efh²=b²dfg, egh²=aef³h², g⁴h²=g²h², h³=ah²>

P = {a, b², ac, ac², bcd, d², b²d², acd³, d⁴, be, cde, ad²e, ab²d²e, e², d²e², acf, df, b²df, ad³f, b²d³f, acd³f, bdef, bd³ef, de²f, d³e²f, af², b²f², acf², bef², e²f², acf³, g, cg, c²g, bdg, cd²g, aceg, fg, ab²fg, cfg, bd²fg, ag², b²g², abcg², g³, c²g³, bdg³, acdg³, ag⁴, acg⁴, ac²g⁴, g⁵, cg⁵, c²g⁵, aceg⁵, abh, acdh, abd²h, aeh, bd²eh, abe²h, abd²e²h, adfh, abd³fh, abdefh, ad³efh, ade²fh, abd³e²fh, abf²h, aef²h, abe²f²h, abdgh, bfgh, abg²h, cg²h, h², d²h², beh², ad²eh², dfh², d³fh², bdefh², f²h², bef²h², bdgh², afgh², g²h²}

Phi = 1 a b ab a 1 b a c b d b² e f g h

Monoid Structure