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 18 x^18 of degree 18 with integer coefficients satisfies f(-9) = 490095908584812309 f(3) = 645413013 f(4) = 139275148779 f(12) = 72370464609083069691…
The task
A polynomial f(x) = a_0 + a_1 x + ... + a_18 x^18 of degree 18 with integer coefficients satisfies f(-9) = 490095908584812309 f(3) = 645413013 f(4) = 139275148779 f(12) = 72370464609083069691 f(-7) = 5395520131508713 f(-16) = 14954771365259916738019 f(10) = 2655285250807319823 f(-2) = 761463 f(7) = 4046837053058901…