LI conjecture on Artin L-function central zeros

Let $L/\mathbb Q$ be a number-field extension and let $L_0/\mathbb Q$ be its Galois closure. Let $\chi_0$ denote the trivial character, and classify irreducible characters of $\operatorname{Gal}(L_0/\mathbb Q)$ as unitary, orthogonal, or symplectic as in the source. LI conjecture. The LI− conjecture is true; if $\chi\neq\chi_0$ is a unitary or orthogonal character of $\operatorname{Gal}(L_0/\mathbb Q)$, then $L(\frac{1}{2},\chi,L_0/\mathbb Q)\neq0$; and if $\chi$ is symplectic, then

$$\operatorname{ord}_{s=1/2}L(s,\chi,L_0/\mathbb Q)\leq M_0$$

for some absolute constant $M_0$. This strengthens the expected control of central zeros beyond linear independence of non-real zero ordinates; the supplied source gives no resolution.