The following Excel files contain data about the abelianization G of the congruence subgroups of type Gamma_0 with split prime level for the five Euclidean Bianchi groups. In column A, we see the norm of the level of G. Column B is the ratio of log(size of torsion part of G) versus the volume of the associated 3fold. This is related to the work of BergeronVenkatesh. Column C holds the torsionfree rank of G. The Excel files also contain the statistics coming from the first 3 columns but these statistics are already present in the paper. Finally, the Excel file for d=1 contains the list of the norms of the primes related to the conjecture of LongMacLachlanReid. Please consult the paper for details.
Excel file for the Bianchi group with d=1. Excel file for the Bianchi group with d=2. Excel file for the Bianchi group with d=3. Excel file for the Bianchi group with d=7. Excel file for the Bianchi group with d=11.
