The database currently contains 39,293 positive definite integral lattices. It includes data from the Catalogue of Lattices.

The largest class number is 56, the largest dimension is 24, and the largest determinant is 191,102,976.

In the case of primitive integral lattices of class number one the database is complete.

The density and Hermite number of an integral lattice are computed in Magma using floating-point approximation; digits displayed are guaranteed to be correct.

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**Knowl status:**

- Review status: reviewed
- Last edited by Kiran S. Kedlaya on 2018-06-27 09:20:43

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- 2018-06-27 09:20:43 by Kiran S. Kedlaya (Reviewed)