You are given the polar curve r=eθ.

List all of the points (r,θ) where the tangent line is horizontal. In entering your answer, list the points starting with the smallest value of r and limit yourself to 1≤r≤1000 ( note the restriction on r!) and 0≤θ<2π. If two or more points share the same value of r, list those starting with the smallest value of θ. If any blanks are unused, type an upper-case "N" in them.

Point 1: (r,θ) = ( , )
Point 2: (r,θ) = ( , )
Point 3 (r,θ) = ( , )