Determinations of rational Dedekind-zeta invariants of hyperbolic manifolds and Feynman knots and links

J. M. Borwein, D. J. Broadhurst

We identify 998 closed hyperbolic 3-manifolds whose volumes are rationally related to Dedekind zeta values, with coprime integers $a$ and $b$ giving $a/b vol(M)=(-D)^{3/2}/(2π)^{2n…