According to the meaning of the question, the center of symmetry f''(x)=0, so by finding the second derivative, the center of symmetry is (1, -2).

According to the nature of symmetric center, if two points are symmetric about the center, there are x 1+x2=2x0, f(x 1)+f(x2)=2f(x0).

There are 4025 numbers in the problem, 20 12 pairs are symmetric about (1, -2), and 1 point is the center of symmetry, so the total number is 4025×(-2)=-8050.