  We present a numerical analysis of an Hartle-Hawking state for the early
universe, in the deep quantum regime, computed using the covariant Loop Quantum
Gravity formalism, in a truncation defined by 16-cell and in a simplified case
where the dynamics is defined by SU(2) BF theory. We compute mean geometry,
fluctuations and correlations. The results are consistent with the hypothesis
that refining the triangulation does not affect the global physical picture
substantially.
