Abstract：

We'll give a useful description of braids in #_𝑛(𝑆^1×𝑆^2) using surgery diagrams, which will allow us to address knots in some lens spaces that admit fillable positive contact surgery. We also demonstrate that smooth 16 surgery to the knot 𝑃(-2,3,7) bounds a rational ball, which admits a Stein structure. This answers a question left open by Thomas Mark and Bülent Tosun.