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KleinianGroups is a Magma package computing fundamental domains for arithmetic Kleinian groups. It is distributed under the GPL v3+ licence.
Current version: 1.0 (2012-09-25) [ tar.gz | zip ]
A description of the algorithm can be found in my master's thesis and my article Computing arithmetic Kleinian groups.
Algebras is a PARI library for computing with associative algebras over Q or Fp and central simple algebras over number fields. It is now contained in PARI/GP as a module. Apart from basic operations, I implemented the following algorithms:
- Associative algebras: Jacobson radical, simple components of a semisimple algebra.
- Central simple algebras over number fields: Hasse invariants, creation from the Hasse invariants, maximal order.