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 13 x^13 of degree 13 with integer coefficients satisfies f(8) = 2866286024281 f(-6) = -60452914661 f(-2) = -35209 f(-4) = -298075067 f(1) = 8 f(-5) =…
The task
A polynomial f(x) = a_0 + a_1 x + ... + a_13 x^13 of degree 13 with integer coefficients satisfies f(8) = 2866286024281 f(-6) = -60452914661 f(-2) = -35209 f(-4) = -298075067 f(1) = 8 f(-5) = -5556311614 f(12) = 551145370132981 f(9) = 13202341861744 f(6) = 68783522383 f(-1) = -26 f(-12) = -515855930418899 f(10) =…