Is the Dedekind zeta function always non-vanishing at $s=\frac{1}{2}$

Question

Is the Dedekind zeta function of a number field always non-zero at $s=\frac{1}{2}$? For Riemann zeta function, it's true by direct computation. If this is true for quadratic fields, then one can use this to prove that the root number of Dirichlet L function of any quadratic Dirichlet character is $1$ (Indeed it's $1$ from other approachs).

Answer 1

Examples were given by Armitage in his paper "Zeta functions with a zero at $s=\frac12$" in Inventiones Mathematicae vol. 15, pp. 199-205, 1971.