construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-12 polynomial P(x) = (33949238400) x^0 + (-14402707200) x^1 + (-1205414136) x^2 + (1301471388) x^3 + (-96715566) x^4 + (-36882099) x^5 + (5735409) x^6 + (245353) x^7 + (-95735) x^8 +…
The task
The degree-12 polynomial P(x) = (33949238400)*x^0 + (-14402707200)*x^1 + (-1205414136)*x^2 + (1301471388)*x^3 + (-96715566)*x^4 + (-36882099)*x^5 + (5735409)*x^6 + (245353)*x^7 + (-95735)*x^8 + (3799)*x^9 + (427)*x^10 + (-41)*x^11 + (1)*x^12 can be written as (x - a_1)(x - a_2)...(x - a_12) with integers a_1, ...,…