Details Page for 0.3312

Complete Solution is Known:

MSV File: q-0.3312.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₂(0.3312):

Q = <a,b,c,d,e,f,g,h,i,j | a²=1, b⁷=b⁵, b²c=b⁵, c⁴=c², b⁴d=b²d, bcd=b²d, c³d=cd, b²d²=d², cd²=bd², d³=ad², b²e=b⁶, ce=b⁵, d²e=d², e²=b⁶, b⁵f=b³f, bcf=b⁴f, c²f=b⁴f, b²df=df, cdf=bdf, d²f=adf, bef=b³f, def=df, b²f²=f², cf²=bf², df²=af², ef²=f², f³=bf², b⁴g=b²d, c²g=c²d, bdg=bd², cdg=bd², d²g=ad², eg=bcg, b²fg=df, cfg=bfg, dfg=adf, f²g=af², b²g²=dg, bcg²=dg, dg²=ad², g³=ad², b²h=d², ch=bd², dh=ad², eh=d², fh=adf, bgh=abd², g²h=dg, h²=d², b⁴i=b²f, c²i=b⁴f, bdi=abfg², cdi=bdf, d²i=adf, ei=b²f, b³fi=bf², dfi=af², f²i=bf², b³gi=abfg², cgi=bfg, dgi=adf, fgi=af², g²i=fg², hi=ab²gi, bci²=b²fi, di²=af², b²fi²=bf², cfi²=bfi², gi²=af², i³=bf², b⁵j=b³j, c²j=b⁴j, dj=abcj, ej=b⁴j, b⁴fj=b²fj, cfj=bfj, f²j=b³fj, gj=ab⁴j, hj=b⁴j, b³ij=b³fj, bfij=bcij, i²j=fij, b²j²=j², cj²=bj², ij²=fj², fj³=bj³, j⁴=aj³>

P = {a, b², b⁴, b⁶, ac, ac², ac³, abd, ab³d, d², e, ade, af, ab²f, ab⁴f, bdf, f², bg, ab³g, cg, afg, bg², cg², fg², h, ai, ab²i, abci, di, bfi, gi, b²gi, bi², b³i², ci², abfi², bj, b³j, cj, afj, ab²fj, ij, b²ij, abj², fj², aj³}

Phi = 1 a b ab b² c d e f g h i j

Monoid Structure