The polynomial f(z)=a z^{2018}+b z^{2017}+c z^{2016} has real coefficients not exceeding 2019, and f\left(\frac{1+\sqrt{3} i}{2}\right)= 2015+2019 \sqrt{3} i. Find the remainder when f(1) is divided by 1000 .
The polynomial f(z)=a z^{2018}+b z^{2017}+c z^{2016} has real coefficients not exceeding 2019, and f\left(\frac{1+\sqrt{3} i}{2}\right)= 2015+2019 \sqrt{3} i. Find the remainder when f(1) is divided by 1000 .