On the Gromov width of complements of Lagrangian tori

An integral product Lagrangian torus in the standard symplectic C² is defined to be a subset \ π|z₁|² = k, \, π|z₂|² =l \ with k,l ∈ N. Let L be the union of all integral product Lagrangian tori. We compute the Gromov width of complements B(R) L for some small R, where $B(R)$ denotes the round ball of capacity R.