Let \(\mathbf{F}\) be a vector field whose curl and divergence at the origin are

\[
\operatorname{curl}(\mathbf{F})(0,0,0)=\langle 2,-1,4angle, \quad \operatorname{div}(\mathbf{F})(0,0,0)=-2
\]

Estimate \(\oint_{\mathcal{C}} \mathbf{F} \cdot d \mathbf{r}\), where \(C\) is the circle of radius 0.03 in the \(x y\)-plane centered at the origin.