abstract algebra – Macaulay2 Monomial Order


In Macaulay2, one can define a polynomial ring with a certain monomial order as follows:

R=QQ[x,y,z,MonomialOrder=>{Lex=>2,Position=>Up}]

This means $R$ is a polynomial ring over $mathbb{Q}$ with variables $x,y,z$, using the Lexicographic monomial order, but what is the point of Lex=>2? What is the 2 for? How is this different than Lex=>3? I searched everywhere and I can’t figure out what this number does…. can anyone familiar with this software tell me what is going on here? The website documentation does not seem to talk about it.