Three small circles, C1, C2, and C3, each with a radius of 0.1 and centered at the origin, are in the xy-, yz-, and xz-planes, respectively. The circles are oriented counterclockwise when viewed from the positive z-, x-, and y-axes, respectively. A vector field, F, has a circulation around C1 of 0.04π, around C2 of 0.3π, and around C3 of 2π. Estimate the curl of F at the origin.
F(0,0,0) =