On 1/30/07, David Joyner <[EMAIL PROTECTED]> wrote: > > Hello all: > > In trying to compute the eigenvalues and eigenvectors of the > discrete Fourier transformation for Z/5Z for a class I'm teaching, > I came across the following: > > sage: MS = MatrixSpace(CyclotomicField(5),5,5) > sage: z = CyclotomicField(5).gen() > sage: F5 = > MS([[1,1,1,1,1],[1,z,z^2,z^3,z^4],[1,z^2,z^4,z^6,z^8],[1,z^3,z^6,z^9,z^(12)],[1,z^4,z^8,z^(12),z^(16)]]) > sage: F5.eigenspaces() > --------------------------------------------------------------------------- > <class 'gen.PariError'> Traceback (most recent call last) > > /mnt/hd200/sagefiles/sage-1.5/<ipython console> in <module>() > > /mnt/hd200/sagefiles/sage-1.5/matrix2.pyx in matrix2.Matrix.eigenspaces() > > /mnt/hd200/sagefiles/sage-1.5/matrix2.pyx in matrix2.Matrix.kernel() > > /mnt/hd200/sagefiles/sage-1.5/sage_object.pyx in > sage_object.SageObject._pari_() > > /mnt/hd200/sagefiles/sage-1.5/gen.pyx in gen._pari_trap() > > <class 'gen.PariError'>: forbidden (45)
This seems to have been corrected as of 2.0, so I would suggest you upgrade :) : sage: F5.eigenspaces() [ (2*zeta5^3 + 2*zeta5^2 + 1, [ (1, 1/2*zeta5^3 + 1/2*zeta5^2, 1/2*zeta5^3 + 1/2*zeta5^2, 1/2*zeta5^3 + 1/2*zeta5^2, 1/2*zeta5^3 + 1/2*zeta5^2) ]), (-2*zeta5^3 - 2*zeta5^2 - 1, [ (1, 0, -zeta5^3 - zeta5^2 - 1, -zeta5^3 - zeta5^2 - 1, 0), (0, 1, -1, -1, 1) ]), (a2, [ ]) ] --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~----------~----~----~----~------~----~------~--~---
