construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-12 polynomial P(x) = (-3345408000) x^0 + (2286028800) x^1 + (198635520) x^2 + (-571101952) x^3 + (174921632) x^4 + (-8925368) x^5 + (-5508876) x^6 + (1237022) x^7 + (-85943) x^8 +…
The task
The degree-12 polynomial P(x) = (-3345408000)*x^0 + (2286028800)*x^1 + (198635520)*x^2 + (-571101952)*x^3 + (174921632)*x^4 + (-8925368)*x^5 + (-5508876)*x^6 + (1237022)*x^7 + (-85943)*x^8 + (-3252)*x^9 + (866)*x^10 + (-50)*x^11 + (1)*x^12 can be written as (x - a_1)(x - a_2)...(x - a_12) with integers a_1, ..., a_12…