#4723: [with patch, with positive review] Infinite precision increase finding
roots over QQbar
---------------------------------------------+------------------------------
Reporter: ncalexan | Owner: was
Type: defect | Status: closed
Priority: major | Milestone: sage-3.3
Component: number theory | Resolution: fixed
Keywords: precision qqbar algebraic roots |
---------------------------------------------+------------------------------
Comment (by mabshoff):
Note that I had to apply the following patch to quiet some numerical noise
on sage.math"
{{{
diff -r 364557890854 sage/rings/polynomial/complex_roots.py
--- a/sage/rings/polynomial/complex_roots.py Sat Jan 17 13:54:17 2009
-0800
+++ b/sage/rings/polynomial/complex_roots.py Sun Jan 18 08:24:19 2009
-0800
@@ -268,7 +268,7 @@
sage: complex_roots(x^5 - x - 1)
[(1.167303978261419?, 1), (0.181232444469876? +
1.083954101317711?*I, 1), (0.181232444469876? - 1.083954101317711?*I, 1),
(-0.764884433600585? + 0.352471546031727?*I, 1), (-0.764884433600585? -
0.352471546031727?*I, 1)]
sage: complex_roots(x^2 + 27*x + 181)
- [(-14.61803398874990?, 1), (-12.38196601125010? + 0.?e-27*I, 1)]
+ [(-14.61803398874990?..., 1), (-12.38196601125010? + 0.?e-27*I,
1)]
sage: K.<im> = NumberField(x^2 + 1)
sage: eps = 1/2^100
}}}
Cheers,
Michael
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4723#comment:6>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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