construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-12 polynomial P(x) = (-167270400) x^0 + (97574400) x^1 + (166922016) x^2 + (-105574976) x^3 + (1165402) x^4 + (8206805) x^5 + (-845311) x^6 + (-208047) x^7 + (28593) x^8 + (1823) x^9 +…
The task
The degree-12 polynomial P(x) = (-167270400)*x^0 + (97574400)*x^1 + (166922016)*x^2 + (-105574976)*x^3 + (1165402)*x^4 + (8206805)*x^5 + (-845311)*x^6 + (-208047)*x^7 + (28593)*x^8 + (1823)*x^9 + (-301)*x^10 + (-5)*x^11 + (1)*x^12 can be written as (x - a_1)(x - a_2)...(x - a_12) with integers a_1, ..., a_12 (not…