Details Page for 0.3115

Complete Solution is Known:

MSV File: q-0.3115.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₆(0.3115):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b³=b, b²c=c, c⁴=c³, b²d=d, cd²=d², d³=ad², b²e=e, c³e=bc³, d²e=bd², ce²=c, e³=e, b²f=f, d²f=ad², cf²=c, def²=de, f⁴=f², b²g=g, cg=ce, d²g=bd², deg=de², ef²g=e²f², g²=e², b²h=h, c³h=c²h, d²h=ad², c²eh=bc²h, de²h=dh, df²h=dh, dgh=deh, c²h²=d², eh²=bh², f²h²=h², gh²=bh², h³=ad², b²i=i, ci=bc², d²i=bd², ef²i=ei, egi=e²i, dhi=bcdh, f³hi=fhi, h²i=bch², ei²=c²e, f²i²=c², fhi²=c²fh, hi³=bhi², i⁴=bi³, b²j=j, ef³j=efj, efgj=e²fj, f³hj=fhj, cj²=c, dj²=d, ej²=ef², f²j²=f², fhj²=f³h, h²j²=h², ij²=i, fj³=fj, j⁴=j², b²k=k, c³k=c²k, d²k=bd², c²ek=bc²k, df²k=de²k, e²f²k=f²k, f³k=e²fk, efgk=e²fk, f²gk=ef²k, c²dhk=cdhk, cdehk=bcdhk, e²fhk=fhk, fghk=efhk, ch²k=bd², dfh²k=adh²k, e²ik=beik, f²ik=beik, efhik=bfhik, i³k=bi²k, f²jk=e²jk, egjk=e²jk, fj²k=fk, j³k=jk, c²k²=ck², cek²=bck², f²k²=e²k², egk²=e²k², dehk²=bdhk², h²k²=d², eik²=ck², fhik²=bcfhk², i²k²=bik², j²k²=k², k³=ik²>

P = {a, b², c, c², c³, bd, acd, ac²d, ac³d, d², be, bce, bc²e, ade, abc²de, e², bde², f, acf, ac²f, ac³f, bdf, c²df, c³df, bef, bcef, abc²ef, def, cdef, e²f, bde²f, f², bdf², bef², e²f², f³, bdf³, bef³, e²f³, bg, adg, eg, be²g, bfg, dfg, efg, be²fg, bf²g, adf²g, bf³g, df³g, h, ach, ac²h, bdh, bcdh, bc²dh, aeh, bceh, deh, cdeh, e²h, fh, cfh, c²fh, bdfh, abcdfh, abc²dfh, abefh, bcefh, defh, cdefh, e²fh, f²h, bef²h, e²f²h, f³h, bef³h, e²f³h, bgh, be²gh, bfgh, efgh, be²fgh, bf²gh, bf³gh, h², ch², adh², acdh², afh², acfh², bi, di, ei, adei, be²i, bfi, aefi, be²fi, bf²i, bf³i, gi, fgi, bdfgi, f²gi, f³gi, bdf³gi, bhi, aehi, be²hi, bfhi, efhi, be²fhi, bf²hi, ghi, fghi, f²ghi, i², bdi², fi², bgi², bfgi², hi², bghi², bi³, di³, bfi³, gi³, fgi³, j, bdj, bcdj, bej, bcej, dej, e²j, bde²j, fj, acfj, bdfj, abcdfj, abc²dfj, befj, bcefj, abc²efj, defj, cdefj, e²fj, bde²fj, f²j, bdf²j, bef²j, e²f²j, f³j, bdf³j, bgj, dgj, egj, be²gj, bfgj, dfgj, bf²gj, df²gj, bf³gj, df³gj, ahj, chj, c²hj, bdhj, bcdhj, bc²dhj, behj, bcehj, dehj, cdehj, ae²hj, fhj, cfhj, c²fhj, bdfhj, bcdfhj, bc²dfhj, befhj, bcefhj, defhj, cdefhj, e²fhj, f²hj, bef²hj, e²f²hj, bghj, eghj, be²ghj, bfghj, bf²ghj, fh²j, acfh²j, bdfh²j, abcdfh²j, bij, adij, bdeij, be²ij, abfij, dfij, efij, bdefij, abe²fij, ade²fij, bf²ij, abf³ij, adf³ij, gij, bdgij, fgij, bdfgij, f²gij, bdf²gij, f³gij, bdf³gij, bhij, ehij, be²hij, bfhij, efhij, be²fhij, bf²hij, ghij, fghij, f²ghij, i²j, abdi²j, afi²j, bdfi²j, bgi²j, adgi²j, abfgi²j, dfgi²j, hi²j, bghi²j, bi³j, adi³j, abfi³j, dfi³j, gi³j, abdgi³j, afgi³j, bdfgi³j, j², fj², bgj², bfgj², hj², bghj², j³, bgj³, hj³, bghj³, bk, bck, bc²k, dk, abcdk, abc²dk, ek, cek, be²k, de²k, bfk, abcfk, abc²fk, bc²dfk, efk, cefk, abdefk, be²fk, bf²k, ef²k, gk, begk, e²gk, fgk, abdfgk, bhk, abchk, abc²hk, aehk, cehk, abdehk, be²hk, bfhk, bcfhk, bc²fhk, dfhk, efhk, cefhk, bdefhk, bf²hk, ef²hk, ghk, beghk, e²ghk, bh²k, bfh²k, ik, bdik, beik, fik, befik, bgik, bfgik, hik, behik, fhik, bghik, bi²k, di²k, bfi²k, gi²k, fgi²k, bhi²k, ghi²k, bjk, djk, cdjk, ejk, cejk, bdejk, be²jk, de²jk, bfjk, abcfjk, dfjk, acdfjk, efjk, acefjk, bdefjk, abcdefjk, be²fjk, de²fjk, gjk, bdgjk, fgjk, bdfgjk, bhjk, bchjk, bc²hjk, dhjk, cdhjk, ehjk, cehjk, bdehjk, be²hjk, bfhjk, bcfhjk, bc²fhjk, dfhjk, cdfhjk, efhjk, cefhjk, bdefhjk, ghjk, bh²jk, dh²jk, abfh²jk, ijk, bdijk, beijk, deijk, afijk, bdfijk, abefijk, adefijk, bgijk, dgijk, abfgijk, dfgijk, hijk, behijk, fhijk, bghijk, bi²jk, adi²jk, abfi²jk, dfi²jk, gi²jk, abdgi²jk, afgi²jk, bdfgi²jk, bhi²jk, ghi²jk, bj²k, gj²k, bhj²k, ghj²k, k², ck², bdk², acdk², bek², abdek², e²k², fk², acfk², cdfk², abefk², e²fk², bgk², bfgk², hk², achk², abehk², e²hk², fhk², cfhk², acdfhk², befhk², bghk², bik², dik², bfik², gik², fgik², bhik², ghik², jk², abdjk², dejk², e²jk², afjk², bdfjk², abefjk², adefjk², ae²fjk², abde²fjk², bgjk², dgjk², abfgjk², dfgjk², hjk², chjk², bdhjk², bcdhjk², behjk², e²hjk², fhjk², bdfhjk², befhjk², bghjk², bijk², adijk², abfijk², dfijk², gijk², abdgijk², afgijk², bdfgijk², bhijk², ghijk²}

Phi = 1 a b a b c d b² d b² e f g h i j k c d

Monoid Structure