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(4) = 252410183 f(1) = -1 f(-1) = -7 f(10) = 45014920470953 f(0) = 3 f(-5) = -7295439547 f(-8)…
The task
A polynomial f(x) = a_0 + a_1 x + ... + a_13 x^13 of degree 13 with integer coefficients satisfies f(4) = 252410183 f(1) = -1 f(-1) = -7 f(10) = 45014920470953 f(0) = 3 f(-5) = -7295439547 f(-8) = -3089578439269 f(-7) = -552891987337 f(11) = 156961329485909 f(7) = 415597707521 f(-13) = -1630538153725699 f(13) =…