LI− conjecture on linear independence of Artin L-function zeros

Let $L/\mathbb Q$ be a number-field extension and let $L_0/\mathbb Q$ be its Galois closure. Write

$$\Gamma_{L_0/\mathbb Q}:=\bigcup_{\chi\in\operatorname{Irr}(\operatorname{Gal}(L_0/\mathbb Q))}\left\{\gamma>0\mid L\left(\frac{1}{2}+i\gamma,\chi,L_0/\mathbb Q\right)=0\right\},$$

where the union is a multiset. LI− conjecture. The multiset $\Gamma_{L_0/\mathbb Q}$ is linearly independent over $\mathbb Q$. This conjecture concerns the zero ordinates governing the distribution of prime ideals and Chebyshev-type biases; no resolution is given in the supplied source.