Consider all polynomials of a complex variable, $P(z)=3z^4+a{z}^3+b{z}^2+cz+d$, where $a,b,c,d$ are integers, $0\le d\le c\le b\le a\le 3$, and the polynomial has a zero $z_0$ with $|z_0|=1$. What is the sum of all values $P(1)$ over all the polynomials with these properties?