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Let $V$ be a vector space over a finite field with $q$ elements and dimension $n$.

My question is how one can obtain the lattice of subspaces of $V$ as a poset in SAGE.

Let $V$ be a vector space over a finite field with $q$ elements and dimension $n$.

My question is how one can obtain the lattice $L_{n,q}$ of subspaces of $V$ as a poset in SAGE.

Let $V$ be a vector space over a finite field with $q$ elements and dimension $n$.

My question is how How one can obtain the lattice $L_{n,q}$ of subspaces of $V$ as a poset in SAGE.Sage?