#8018: Eigenvalues sorted, but not eigenvectors, in modular/modform/numerical.py
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Reporter: rbeezer | Owner: craigcitro
Type: defect | Status: new
Priority: major | Milestone: sage-4.3.2
Component: modular forms | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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In {{{sage/modular/modform/numerical.py}}}, the last half of
{{{_eigenvectors}}} looks for eigenvectors with eigenvalues having
multiplicty 1. The eigenvalues get sorted for openers, but the
eigenvectors in {{{B}}} don't follow along.
Print statements before and after the sort, and then running doctests on
just this file, produces output like:[[BR]]
{{{
Hecke: before sort [-283.0, 108.522012456, -92.2176402155,
-90.3043722401, 142.0]
Hecke: after sort [-283.0, -92.2176402155, -90.3043722401,
108.522012456, 142.0]
}}}
One fix would be to delete the sorting if the order of the eigenvectors is
not important.
All the doctests in this module that call this code lack eigenvalues of
multiplicity greater than 1, so maybe a new doctest could test this case.
Also, it appears the cached value returned differs from the return at the
bottom of the function.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8018>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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