Hi:
Sage seems to be reporting eigenvalues incorrectly. Can this bug been
reported before?
sage: M = matrix(QQ,[ [ 1476226, 1476226, 1476224, 1476225, 1476224 ],
....: [ 1476226, 1476224, 1476225, 1476224, 1476226 ],
....: [ 1476224, 1476225, 1476224, 1476226, 1476226 ],
....: [ 1476225, 1476224, 1476226, 1476226, 1476224 ],
....: [ 1476224, 1476226, 1476226, 1476224, 1476225 ] ])
sage: M.eigenvalues()
[7381125, -2.236067977499790?, 2.236067977499790?,
-2.236067977499790?, 2.236067977499790?]
sage: M = matrix(CC,[ [ 1476226, 1476226, 1476224, 1476225, 1476224 ],
[ 1476226, 1476224, 1476225, 1476224, 1476226 ],
[ 1476224, 1476225, 1476224, 1476226, 1476226 ],
[ 1476225, 1476224, 1476226, 1476226, 1476224 ],
[ 1476224, 1476226, 1476226, 1476224, 1476225 ] ])
sage: M.eigenvalues()
.../sage-4.6/local/bin/sage-ipython:1: UserWarning: Using generic
algorithm for an inexact ring, which will probably give incorrect
results due to numerical precision issues.
#!/usr/bin/env python
[7.38112500000000e6 - 5.79188112676979e-48*I, 373.809799796897 +
373.812578248468*I, 373.809799796897 - 373.812578248468*I,
-373.809799797006 + 373.793647358285*I, -373.809799797006 -
373.793647358285*I]
- David Joyner
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