We provide third to eighth virial coefficients of oblate, hard ellipsoids of revolution and hard lenses in dependence on their aspect ratio $\nu$. Employing an algorithm optimized for hard anisotropic shapes, highly accurate data are accessible with comparatively small numerical effort. For both geometries, reduced virial coefficients ${\tilde{B}}_i\left(\nu \right)=B_i\left(\nu \right)/B_2^{i-1}\left(\nu \right)$ are in first approximation proportional to the inverse excess contribution ${\alpha }^{-1}$ of their excluded volume. The latter quantity is directly accessible from second virial coefficients and analytically known for convex bodies.

• Received 21 May 2021
• Accepted 25 June 2021

DOI:https://doi.org/10.1103/PhysRevE.104.015308