#8446: avoid 0^0 in number fields
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Reporter: rlm | Owner: davidloeffler
Type: defect | Status: needs_review
Priority: major | Milestone: sage-4.3.4
Component: number fields | Keywords:
Author: Robert Miller | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Description changed by rlm:
Old description:
> In the case of a trivial number field, such as
> {{{
> K.<a> = NumberField(polygen(QQ))
> }}}
> the Selmer group function doesn't work, since the generator `a` of the
> number field is 0, and when we're constructing polynomials we use the
> form `coeff*a**i`. However, if `i==0`, we get an `ArithmeticError` since
> Sage does not have conventions for `0^0`.
New description:
In the case of a trivial number field, such as
{{{
K.<a> = NumberField(polygen(QQ))
}}}
the Selmer group function doesn't work, since the generator `a` of the
number field is 0, and when we're constructing polynomials we use the form
`coeff*a**i`. However, if `i==0`, we get an `ArithmeticError` since Sage
does not have conventions for `0^0`.
I found several places where this comes up, and I've fixed them where I
can.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8446#comment:2>
Sage <http://www.sagemath.org>
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