Let $$f(x) = x^4+ 13 x^3+ 19 x^2 - 323 x - 1110$$ Given that $-6+i$ is a root of $f(x)$, list all of the roots including the complex roots.

Roots:

Note: enter your answer as a list of complex numbers, such as 3, -9, 8-11i, 14+i.