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 Q₁₃(0.3312):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b⁷=b⁵, b³c=b⁶, b²c²=b⁶, c⁵=c³, b⁴d=b²d, bcd=b²d, c⁴d=c²d, b²d²=d², cd²=bd², d³=ad², b²e=b⁶, ce=b²c, d²e=d², e²=b⁶, b⁵f=b³f, b²cf=b³f, c²f=bcf, b³df=bdf, cdf=bdf, d²f=ab²df, bef=b³f, def=b²df, b²f²=f², cf²=bf², df²=af², ef²=f², f³=bf², b⁴g=b²d, b²cg=b³d, c²g=c²d, bdg=bd², cdg=bd², d²g=ad², eg=bcg, b²fg=b²df, cfg=bfg, dfg=ab²df, f²g=af², b²g²=dg, bcg²=dg, dg²=ad², g³=ad², b²h=d², bch=d², c²h=d², dh=ad², eh=d², fh=ab²df, bgh=abd², cgh=abd², g²h=dg, h²=d², b⁵i=b³f, b²ci=b³f, c²i=b⁴f, bdi=abfg², cdi=bdf, d²i=ab²df, ei=b⁴i, b³fi=bf², bcfi=f², dfi=af², f²i=bf², b³gi=abfg², cgi=bfg, dgi=ab²df, fgi=af², g²i=fg², hi=ab²gi, b⁴i²=b²fi, bci²=b²fi, di²=af², b²fi²=bf², cfi²=bfi², gi²=af², i³=bf², b⁶j=b⁴j, b²cj=b³j, bc²j=b³j, c³j=b⁵j, dj=abcj, bej=b³j, cfj=bfj, efj=b²fj, f²j=b³fj, gj=ac²j, bhj=b³j, chj=b³j, b³ij=b³fj, bfij=bcij, i²j=fij, b²j²=j², cj²=bj², ej²=j², hj²=j², ij²=fj², fj³=bj³, j⁴=aj³, b⁴k=d², bck=b²k, c³k=bd², dk=ab²k, bek=b³k, b³fk=abdf, cfk=bfk, efk=b²fk, f²k=f², bgk=ab³k, cgk=abd², fgk=ab²fk, g²k=dg, bhk=b³k, chk=b³k, ghk=ad², ik=ab²df, b²fjk=bcij, j²k=j², k²=d²>

P = {a, b², b⁴, b⁶, ac, ac², ac³, ac⁴, abd, ab³d, d², e, ade, af, ab²f, ab⁴f, abcf, bdf, f², bg, ab³g, cg, afg, bg², cg², fg², h, ai, ab²i, ab⁴i, abci, di, bfi, gi, b²gi, bi², b³i², ci², abfi², bj, b³j, b⁵j, cj, afj, ab²fj, ab⁴fj, ij, b²ij, abj², fj², aj³, k, b²k, c²k, ek, abfk, agk, hk, ajk, ab²jk, bfjk}

Phi = 1 a b ab b² c d e f g h i j k

Monoid Structure