Details Page for 0.3727

Complete Solution is Known:

MSV File: q-0.3727.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₉(0.3727):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a²=1, b³=b, b²c²=c², c⁴=c², bd=b, cd=b²c, d³=d², d²e=b²e, c²e²=c², be⁴=be², de⁴=de², e⁵=e³, b²cf=cf, c²f=c³, df=b²f, b²ef=ef, e⁴f=e²f, b²f²=f², cef²=b²ce, e²f³=e²f, f⁴=f², b²g=g, c²g=bc², dg=g, e⁴g=e²g, cg²=bcf²g, f³g²=fg², g³=bg², bh=b, ch=b²c, dh=b², e⁴h=e²h, fh=b²f, gh=g, h²=b², b²i=i, c²i=abc², di=i, e⁴i=e²i, cgi=abcg, hi=i, e²f²i²=e²i², e²gi²=abe²f²gi, f²gi²=abf²gi, g²i²=abf²g²i, ci³=abci², e²i³=abe²i², f²i³=abf²i², fgi³=fgi, i⁴=i², b²cj=cj, c²j=ac², d²j=b²j, cej=ac³e, b²fj=fj, cf²j=ac³, hj=b²j, cij=abcj, fg²ij=bc³, e²i²j=abe²f²ij, f²i²j=abf²ij, fi³j=fij, b²j²=j², cj²=acj, dj²=j², e⁴j²=e²j², fj²=afi²j, i²j²=ai²j, j³=aj², b²k=k, c²k=ac²e, dk=k, e⁴k=e²k, cf³k=cfk, ef³k=efk, hk=k, efgi²k=abefgik, ei³k=abei²k, cfjk=c²e, efi²jk=abefijk, k²=c², bcl=bcf, c²l=c³, dl=b²l, be²l=be²f, b²fl=fl, cfl=cf², efl=ef², f²l=f³, cgl=cfg, e²gl=e²fg, g²l=fg², hl=b²l, cil=cfi, e²il=e²fi, egi²l=abegil, ei³l=abei²l, gi³l=gil, b²jl=jl, cjl=cfj, e²jl=e²fj, ei²jl=abeijl, i³jl=ijl, j²l=ai²jl, ckl=cfk, ekl=efk, fkl=f²k, gi²kl=abgikl, i³kl=abi²kl, i²jkl=abijkl, l²=f²>

P = {a, b², c², ad, ad², e², b²e², de², e⁴, f, bcf, ce²f, f², e²f², cf³, bg, be²g, efg, bce²fg, bf²g, be²f²g, bcf³g, g², e²g², f²g², e²f²g², aeh, ae³h, abi, abe²i, acfi, abce²fi, abf²i, abe²f²i, abcf³i, agi, ae²gi, befgi, af²gi, ae²f²gi, abg²i, abe²g²i, abf²g²i, abe²f²g²i, i², e²i², bcfi², ce²fi², f²i², cf³i², bgi², efgi², abi³, agi³, aj, ab²j, adj, e²j, ab²e²j, e³j, de³j, abcfj, af²j, ae²f²j, abgj, abe²gj, aefgj, abf²gj, abe²f²gj, ag²j, ae²g²j, af²g²j, ae²f²g²j, bij, be²ij, bf²ij, be²f²ij, gij, e²gij, abefgij, f²gij, e²f²gij, bg²ij, be²g²ij, ai²j, abgi²j, aefgi²j, bi³j, gi³j, j², e²j², bgj², be²gj², g²j², e²g²j², abij², abe²ij², agij², ae²gij², abg²ij², abe²g²ij², ack, be³k, abfk, acefk, abe³fk, aef²k, be³f²k, abcgk, e³gk, afgk, abcefgk, ae³fgk, abef²gk, e³f²gk, aeg²k, be³g²k, abe³fg²k, aef²g²k, be³f²g²k, bcik, fik, bcefik, e³fik, bef²ik, be³fgik, ef²gik, beg²ik, e³fg²ik, bef²g²ik, aci²k, abe³i²k, abfi²k, acefi²k, ace³fi²k, aef²i²k, afgi²k, fi³k, cjk, bfjk, ef²jk, bcgjk, fgjk, bef²gjk, eg²jk, ef²g²jk, ae³ijk, afijk, abef²ijk, ae³f²ijk, aef²gijk, abeg²ijk, abe³g²ijk, bfi²jk, fgi²jk, be³j²k, e³gj²k, aeg²j²k, be³g²j²k, beg²ij²k, l, ce²l, e⁴l, fl, egl, bfgl, abfil, abegil, fi²l, bfgi²l, abfi³l, afjl, aegjl, abfgjl, bfijl, begijl, afi²jl, abfgi²jl, abkl, agkl, ikl, bgikl, abi²kl, bjkl, gjkl, aijkl, abgijkl}

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

Monoid Structure