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{\author Computational Algebra Group}{\copyright Copyright (c) 2026 Computational Algebra Group}{\title Change log for Magma V2.29-6}}

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\fs36\b Change log for Magma V2.29-6 (Released 26/3/2026)\b0\fs24\par \par \par \fs27\b Algebraic Modular forms\b0\fs24\par \par \f3\'B7\f0 Added input validation in {\field{\*\fldinst HYPERLINK http://129.78.68.121/magma/handbook/search/UnitaryModularForms}{\fldrslt\f4\cs15\ul UnitaryModularForms}} to verify the lattice is even and integral. Reported by Steve Huang.\par \par\f3\'B7\f0 Fixed bug in {\field{\*\fldinst HYPERLINK http://129.78.68.121/magma/handbook/search/HeckeEigensystem}{\fldrslt\f4\cs15\ul HeckeEigensystem}} for algebraic unitary modular forms, stemming from a non-implemented Hecke operator when 2 is inert. This feature is still not implemented, but the intrinsic avoids attempting to compute this operator. Reported by Steve Huang.\par \par\f3\'B7\f0 Added the option to call {\field{\*\fldinst HYPERLINK http://129.78.68.121/magma/handbook/search/HeckeEigensystem}{\fldrslt\f4\cs15\ul HeckeEigensystem}} without specifying k, (defaulting to k = 1), while also specifying optional parameters, such as precision. This now matches the documentation. Reported by Steve Huang.\par \par\par \fs27\b Algebraic Surfaces\b0\fs24\par \par \f3\'B7\f0 Checking for singularity in {\field{\*\fldinst HYPERLINK http://129.78.68.121/magma/handbook/search/MinimalModelRationalSurface}{\fldrslt\f4\cs15\ul MinimalModelRationalSurface}} has been increased. The parameter {\field{\*\fldinst HYPERLINK http://129.78.68.121/magma/handbook/search/CheckSing}{\fldrslt\f4\cs15\ul CheckSing}} now defaults to {\field{\*\fldinst HYPERLINK http://129.78.68.121/magma/handbook/search/true}{\fldrslt\f4\cs15\ul true}}. If a surface is known to be singular then an error occurs regardless of how the parameter is set. Reported by Adam Logan.\par \par\par \fs27\b Associative Algebras\b0\fs24\par \par \f3\'B7\f0 Error checking for {\field{\*\fldinst HYPERLINK http://129.78.68.121/magma/handbook/search/MaximalOrder}{\fldrslt\f4\cs15\ul MaximalOrder}} intrinsics has been improved. Reported by David Benson.\par \par\par \fs27\b Commutative Algebra\b0\fs24\par \par \f3\'B7\f0 An incorrect result when comparing two submodules of a module over an affine algebra been fixed. Reported by C. Quitte.\par \par\f3\'B7\f0 A problem with the injection map in the construction of kernels of homomorphisms between modules over affine algebras has been fixed.\par \par\par \fs27\b Groebner Bases\b0\fs24\par \par \f3\'B7\f0 A crash in {\field{\*\fldinst HYPERLINK http://129.78.68.121/magma/handbook/search/ChangeOrder}{\fldrslt\f4\cs15\ul ChangeOrder}} for polynomial rings defined over unusual rings has been fixed. Reported by Claude Quitte.\par \par\f3\'B7\f0 A bad slowdown and incorrect result for certain types of direct Groebner basis computations with non-graded monomial orders has been fixed. Reported by Markus Grassl.\par \par\par \fs27\b Integer Ring\b0\fs24\par \par \f3\'B7\f0 An obscure bug in the MPQS function (for relatively small integers) has been fixed. Reported by Drew Sutherland.\par \par\par \fs27\b Language/System\b0\fs24\par \par \f3\'B7\f0 An obscure crash when calling a function with zero arguments which expects one real argument has been fixed. Reported by Sachi Hashimoto.\par \par\f3\'B7\f0 The tag [L] is now added to the machine type in the information printed at crashes. Issue noted by Markus Grassl.\par \par\par \fs27\b Lattices\b0\fs24\par \par \f3\'B7\f0 Fixed a bug in {\field{\*\fldinst HYPERLINK http://129.78.68.121/magma/handbook/search/NumberOfNeighbors}{\fldrslt\f4\cs15\ul NumberOfNeighbors}} for hermitian lattices at inert primes. Reported by Steve Huang.\par \par\par \fs27\b Matrices\b0\fs24\par \par \f3\'B7\f0 Added an intrinsic {\field{\*\fldinst HYPERLINK http://129.78.68.121/magma/handbook/search/IsHermitian}{\fldrslt\f4\cs15\ul IsHermitian}} to check if a matrix is Hermitian with respect to an involution on the base ring.\par \par\par \fs27\b Permutation Groups\b0\fs24\par \par \f3\'B7\f0 A crash in {\field{\*\fldinst HYPERLINK http://129.78.68.121/magma/handbook/search/AutomorphismGroup}{\fldrslt\f4\cs15\ul AutomorphismGroup}} for a certain type of group has been fixed. Reported by Eamonn O'Brien.\par \par}