# Minor corrections to Nipp's tables of quaternary quadratic forms

## TL;DR

This paper corrects specific p-adic density and Jordan splitting data in Nipp's tables of positive definite integral quaternary quadratic forms, ensuring accuracy without altering the list of forms.

## Contribution

It provides precise corrections to Nipp's tables, improving the accuracy of p-adic data in the classification of quaternary quadratic forms.

## Key findings

- Corrections to p-adic densities and Jordan splittings
- No errors found in the list of quaternary forms for each genus
- Enhances the reliability of Nipp's tables

## Abstract

We make some corrections to Nipp's tables of positive definite integral quaternary quadratic forms. They only affect $p$-adic densities and $p$-adic Jordan splittings in the Appendix of Nipp's book. There are no errors found in Nipp's list of quaternary forms for each genus.