  Extensive calculations of properties of supernova matter are presented, using
the extended Nuclear Statistical Equilibrium model of PRC92 055803 (2015) based
on a statistical distribution of Wigner-Seitz cells modeled using realistic
nuclear mass and level density tables, complemented with a non-relativistic
Skyrme functional for unbound particles and beyond drip-line nuclei. Both
thermodynamic quantities and matter composition are examined as a function of
baryonic density, temperature, and proton fraction, within a large domain
adapted for applications in supernova simulations. The results are also
provided in the form of a table, with grid mesh and format compatible with the
CompOSE platform [http://compose.obspm.fr/] for direct use in supernova
simulations. Detailed comparisons are also presented with other existing
databases, all based on relativistic mean-field functionals, and the
differences between the different models are outlined. We show that the
strongest impact on the predictions is due to the different hypotheses used to
define the cluster functional and its modifications due to the presence of a
nuclear medium.
