#20004: Implement power_sums and power_sums_to_poly
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-7.2
Component: number fields | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #20399 | Stopgaps:
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Changes (by vdelecroix):
* dependencies: #18356 => #20399
* milestone: sage-7.1 => sage-7.2
Comment:
Replying to [comment:2 kedlaya]:
> When FLINT is not applicable, {{{power_sums}}} can also try calling
PARI's {{{polsym}}}, although I don't think the implementation therein is
anything special.
Indeed, it uses Newton formula. However, there is #20399 to review first
because
{{{
sage: x = polygen(ZZ)
sage: p = x^2 + 4
sage: c = p._pari_().polsym(5)
sage: c
[2, 0, -8, 0, 32, 0]~
sage: c.sage()
Traceback (most recent call last):
...
TypeError: Object (=[2, 0, -8, 0, 32, 0]~) must be of type t_VEC.
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/20004#comment:3>
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