Data related to
"On the Homology of Non-Arithmetic Hyperbolic Tetrahedral Groups"

The following text files contain data about the ratios "log(torsion)/volume" and the first Betti numbers for prime level projective covers of the non-arithmetic hyperbolic tetrahedral groups. Please consult the paper for details.

In the files below, the prime levels which have norm <50000 and are over a rational prime >400 are covered. They are all prime levels of residue degree one.

File for the group H(1).

File for the group H(2).

File for the group H(3).

File for the group H(4).

File for the group H(5).

File for the group H(6).

In the files below, the prime levels which have bigger norm but are over rational primes <400 are covered. They are mostly prime levels with residue degree greater than 1.

File for the group H(1).

File for the group H(2).

File for the group H(3).

File for the group H(4).

File for the group H(5).

File for the group H(6).

In a third set, I computed one prime level over every totally split primes less than ~100000. The first Betti numbers are all zero!

File for the group H(1).

File for the group H(2).