Details Page for 0.5437

Complete Solution is Known:

MSV File: q-0.5437.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₇(0.5437):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | 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, cj=ac, b³dj=bdj, bfj=ab³f, df²j=ab²df², ef³j=ef⁴g, f⁵j=f³j, b²gj=gj, d²gj=gj, egj=agj, fgj=ab²fg, g²j=ab²g², dhj=bdj, fhj=ab³f, ghj=bgj, ij=bj, b³j²=bj², b²dj²=dj², d²j²=b²j², dej²=adj², fj²=b²f, hj²=bj², j³=ab²j², 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, dhk³=bdk³, fhk³=bfk³, ghk³=bgk³, b²k⁴=b²k², ck⁴=ck², bdk⁴=b³dk², bfk⁴=b³fk², f³k⁴=f⁵, bgk⁴=b³gk², dgk⁴=b²dgk², g²k⁴=b²g²k², bik⁴=bik², eik⁴=eik², i²k⁴=i²k², bjk⁴=bjk², djk⁴=djk², ejk⁴=ejk², fjk⁴=fjk², gjk⁴=gjk², hjk⁴=hjk², j²k⁴=j²k², bk⁵=bk³, dek⁵=dek³, hk⁵=hk³, ik⁵=ik³, jk⁵=jk³, k⁶=k⁴, cl=ac, bdl=ab³d, bfl=ab³f, defl=b²df, df²l=abdf²h, f³l=f³j, gl=abgh, dhl=ab³d, fhl=ab³f, bil=b²l, eil=ab³l, dejl=b²dj, dfjl=b²df, bj²l=abj², dj²l=adj², bk⁴l=bk²l, dek⁴l=dek²l, efk⁴l=efk²l, hk⁴l=hk²l, ik⁴l=ik²l, dk⁵l=dk³l, ek⁵l=ek³l, fk⁵l=fk³l, bl²=b³d², del²=adel, d²fl²=fl², efl²=ab²f, f²l²=b²f², hl²=b³d², il²=b³d², djl²=adjl, ejl²=ab²d²j, fjl²=ab²f, j²l²=b²j², dk²l²=adk⁴l, fk²l²=ad²fk⁴l, l³=al²>

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, b³j, ab²d²j, adfj, af²j, af⁴j, hj, j², b²j², aej², 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, b³jk², ab²d²jk², adfjk², af²jk², hjk², j²k², b²j²k², aej²k², 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, bhk⁴, aik⁴, ak⁵, adk⁵, ad²k⁵, efk⁵, af²k⁵, ad²f²k⁵, ab²l, d²l, af²l, abhl, aefjl, f²jl, aj²l, kl, dkl, d²kl, f²kl, ajkl, ab²jkl, af²jkl, hjkl, j²kl, ab²k²l, d²k²l, af²k²l, abhk²l, aefjk²l, f²jk²l, aj²k²l, k³l, d²k³l, f²k³l, ajk³l, ab²jk³l, af²jk³l, hjk³l, j²k³l, d²k⁴l, af²k⁴l, k⁵l, l², ad²l², ael², ajl², adkl², ad²kl², ak²l², ak³l², k⁴l², aek⁴l², ajk⁴l²}

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

Monoid Structure