Details Page for 0.5424

Complete Solution is Known:

MSV File: q-0.5424.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₆(0.5424):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b⁴=b², b²c=c, c⁴=c², c²d=c³, cd²=c, d³=d, be=ab³, ce=ac, e²=b², c²f=bc³, bd²f=bf, cf²=c³, bf³=c³, df⁴=c³, f⁶=f⁴, c²g=abc³, bd²g=bg, d²g²=g², b²f²g²=c², ef²g²=ad²ef³g, f³g²=bdf²g², b³g³=bg³, cg³=abcdg², eg³=ab²g³, fg³=abdfg², g⁴=abdg³, b²h=b³, ch=bc, eh=ab³, d²fh=fh, f⁴h=bc², d²gh=gh, f³gh=def³, bg²h=aeg², h²=b², b²i=b³, ci=bc, di=bd, fi=bf, gi=bg, hi=bh, bi²=aei, ei²=abi, i⁴=i², b³j=bj, cj=ac, bfj=ab³f, df²j=ab²df², ef³j=ef⁴g, f⁵j=f³j, b²gj=gj, d²gj=gj, egj=agj, fgj=ab²fg, g²j=ab²g², hj=bj, ij=bj, b²j²=j², d²j²=j², ej²=aj², fj²=b²f, j³=aj², c²k²=c², f⁴k²=f⁴, cg²k²=cg², b²fg²k²=b²fg², bg³k²=bg³, f³jk²=f³j, b³dk³=bdk³, b³fk³=bfk³, ef³k³=ef⁵k, b³gk³=bgk³, degk³=ab²dgk³, b²g²k³=g²k³, eg²k³=ag²k³, fg²k³=b²fg²k, g³k³=b²g³k, hk³=b³k³, eik³=abk³, i³k³=ik³, bk⁴=aeik², ck⁴=ck², f³k⁴=f⁵, dgk⁴=b²dgk², g²k⁴=b²g²k², ik⁴=i³k², jk⁴=jk², dek⁵=dek³, k⁶=k⁴>

P = {a, b², c², ad, bcd, ad², b²d², de, bcf, b²df, ef, d²ef, f², b²f², d²f², ef³, f⁴, ef⁵, cg, bdg, b³dg, bfg, b³fg, adef²g, ad²f³g, g², b²g², abcdg², aeg², dfg², b²dfg², adefg², f²g², abdg³, bh, bd²h, bdfh, bf²h, df³h, dgh, fgh, af²g²h, adg³h, ai, ai², ai³, bj, ab²d²j, adfj, af²j, af⁴j, j², ak, adk, ad²k, dek, efk, d²efk, af²k, ad²f²k, ef³k, af⁴k, ef⁵k, cdgk, bdfgk, b³dfgk, aef²gk, ad²ef²gk, f³gk, d²f³gk, f⁵gk, abcg²k, dg²k, b²dg²k, adeg²k, fg²k, b²fg²k, aefg²k, abg³k, dfghk, adf²g²hk, ag³hk, ai²k, d²jk, adejk, dfjk, aefjk, f²jk, f⁴jk, ak², b²k², adk², bcdk², ad²k², b²d²k², dek², bcfk², b²dfk², efk², d²efk², f²k², b²f²k², d²f²k², ef³k², cgk², bfgk², b³fgk², adef²gk², ad²f³gk², g²k², b²g²k², aeg²k², dfg²k², adefg²k², f²g²k², bhk², bd²hk², bdfhk², bf²hk², df³hk², fghk², af²g²hk², adg³hk², aik², ai²k², ai³k², bjk², ab²d²jk², adfjk², af²jk², j²k², ak³, adk³, ad²k³, dek³, efk³, d²efk³, af²k³, ad²f²k³, bdgk³, cdfgk³, bdf²gk³, aef²gk³, f³gk³, d²f³gk³, ai²k³, d²jk³, adejk³, dfjk³, aefjk³, f²jk³, abdgjk³, adgj²k³, ak⁴, adk⁴, ad²k⁴, dek⁴, efk⁴, d²efk⁴, f²k⁴, d²f²k⁴, ak⁵, adk⁵, ad²k⁵, efk⁵, af²k⁵, ad²f²k⁵}

Phi = 1 a 1 a b b b c a d e f g h i j k

Monoid Structure