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