---
title: "Magma V2.23-8 Patch Notes"
canonical: "https://docs.magma-maths.org/patchnotes/2.23-8.html"
source: "https://docs.magma-maths.org/patchnotes/2.23-8.md"
---

<a id="magma-v2-23-8-patch-notes"></a>
# Magma V2.23-8 Patch Notes

## Galois Groups

- The computation of subfields and Galois groups was improved by a refined cycle type analysis.
- An infinite loop has been broken in the computation of a prime, which does not divide the discriminant of the defining polynomial of any subfield, to use in the computation of a Galois group of a polynomial over a function field. Reported by R. Müller.

## Graphs

- The `MaximumMatching` of an edgeless graph no longer crashes.

## Hyperelliptic Curves

- A possible crash when trying to make sequences of tuples containing points from incompatible hyperelliptic curves has been fixed.

## Lattices

- Some difficulties with spinor genera have been fixed by M. Kirschmer. The problems arise from differences between the notion of Cassels (thus Conway-Sloane) of “spinor genus”, which is more often called the proper spinor genus. The [`SpinorGenerators`](../LatticesQuadraticForms/Lattices/genus.md#function-spinorgenerators-symgen) intrinsic now has a `Proper` vararg (by default true) to help with issue, but a more complete overhaul is still necessary. Reported by A. Haensch.
- The `Genus` intrinsic now properly considers denominators.

## Linear Systems

- A crash in the application of the [`PolynomialMap`](../AlgebraicGeometry/Schemes/linsys.md#function-polynomialmap-linearsys) of a Linear system to a sequence of vectors has been fixed.

## Local Fields

- A bug with `Coordinates` over the p-adics was fixed. Reported by A. Rahm.
- A bug in testing whether a polynomial is inertial has been fixed.

## Polynomial Rings

- A problem with denominator handling with mulvariate polynomials defined over relative number fields has been fixed.  Reported by M. Grassl.
- Some problems in computing complex roots of real polynomials have been fixed.  Reported by E. Sertoz and J. Jones.
- Fixed a crash when finding the variety of an ideal via exhaustive search, arising when there were no points in the variety.
- A missing error check has been included to ensure that divisors are non zero when using `div`.