#12573: sum of powers of root of unity fails
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Reporter: dkrenn | Owner: was
Type: defect | Status: new
Priority: major | Milestone: sage-5.0
Component: number theory | Keywords: sum, number field, root of unity
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Description changed by dkrenn:
Old description:
> The following problem was reported to me by Volker Ziegler:
> {{{
> sage: PZ.<X>=PolynomialRing(ZZ)
> sage: Cyclic3.<z>=NumberField(X^2+3)
> sage: zi=Cyclic3.primitive_root_of_unity()
> sage: sum([zi^i for i in range(5)])
> 1/2*z - 1/2
> sage: sum(zi^i,i,0,5)
> ERROR: An unexpected error occurred while tokenizing input
> The following traceback may be corrupted or invalid
> The error message is: ('EOF in multi-line statement', (1288, 0))
>
> Traceback (most recent call last)
> ...
> TypeError: An embedding into RR or CC must be specified.
> }}}
> The function ``sum`` works in the first case, but fails in the second.
New description:
The following problem when building a sum over powers of an root of unity.
{{{
sage: PZ.<X>=PolynomialRing(ZZ)
sage: Cyclic3.<z>=NumberField(X^2+3)
sage: zi=Cyclic3.primitive_root_of_unity()
sage: sum([zi^i for i in range(5)])
1/2*z - 1/2
sage: sum(zi^i,i,0,5)
ERROR: An unexpected error occurred while tokenizing input
The following traceback may be corrupted or invalid
The error message is: ('EOF in multi-line statement', (1288, 0))
Traceback (most recent call last)
...
TypeError: An embedding into RR or CC must be specified.
}}}
The function ``sum`` works in the first case, but fails in the second.
This problem was reported to me by Volker Ziegler.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12573#comment:1>
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