construct/rlve polynomial interpolation

construct/rlve polynomial interpolation: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). A polynomial f(x) = a 0 + a 1 x + ... + a 4 x^4 of degree 4 with integer coefficients satisfies f(4) = 1661 f(2) = 137 f(-2) = 65 f(-4) = 1037 f(3) = 575