Dear Marek, On 13 January 2013 04:23, Marek Mitros <ma...@mitros.org> wrote: > Hi, > > What is the quickest way to diagonalize symmetric matrix 248x248 with > integral entries. I run Eigenvectors(Rationals, m) but it run long > time on my PC. the eigenvalues (and, therefore, eigenvectors) need not be rational. To achieve this, you might need to extend the field of rationals.
HTH, Dmitrii > The matrix is the Gram matrix of Thompson Smith lattice > in dimension 248. See page: > http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/TH.html > > I would like to obtain the lattice generators or alternatively > orthogonal representation of Thompson sporadic group. > > Regards, > Marek > > _______________________________________________ > Forum mailing list > Forum@mail.gap-system.org > http://mail.gap-system.org/mailman/listinfo/forum CONFIDENTIALITY:This email is intended solely for the person(s) named and may be confidential and/or privileged.If you are not the intended recipient,please delete it,notify us and do not copy,use,or disclose its content. Towards A Sustainable Earth:Print Only When Necessary.Thank you. _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum