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Magma V2.15-9 Patch Notes

Patch release for Magma V2.15-9. Updated areas: Function Fields, Groups, Invariant Rings, Lattices, Modular Symbols and 2 more.

7 areas

Function Fields

  • A bug with sets of rational function field elements (where the hashing was wrong sometimes) has been fixed. Reported by M. Grassl.

Groups

  • The missing irreducible subgroups of GL(2,2) in the IrreducibleMatrixGroup function have been found. Bug reported by C. Roney-Dougal.

  • Improved algorithms for computing the soluble radical of matrix groups over the integers and rationals have been included.

  • A faster method for computing ComplementEquationsMatrix for a module over the rationals has been adopted.

  • The functions RWSGroup and RWSMonoid have been stopped from leaving an empty file in the /tmp directory at each call. Bug reported by S. Humphries and D. Holt.

Invariant Rings

  • A bug in FundamentalInvariants for invariant rings of matrix groups which were not monomial has been fixed. Reported by M. Grassl.

  • A crash in HomogeneousModuleTestBasis, when given zero polynomials, has been fixed. Reported by M. Grassl.

Lattices

Modular Symbols

  • The empty sequence may now be coerced into the space of modular symbols.

Polynomial Rings

  • A bug in multivariate resultant over finite fields (arising in factorization of polynomials over function fields) has been fixed. Reported by N. Bruin.

Sparse Matrices

  • A bug in ModularSolution, which would result in a crash whenever Lanczos was selected without also selecting verbose output, has been fixed. Reported by C. Diem.

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