#19060: Fix gauss_sum() for Dirichlet characters over cyclotomic fields
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Reporter: pbruin | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.9
Component: number | Keywords: Dirichlet character Gauss sum
theory | Authors: Peter Bruin
Merged in: | Report Upstream: N/A
Reviewers: | Branch:
Work issues: | Dependencies:
Commit: |
Stopgaps: |
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In !SageMath 6.9.beta2:
{{{
sage: K.<z> = CyclotomicField(8)
sage: G = DirichletGroup(13, K)
sage: chi = G([z^2])
sage: chi.gauss_sum()
Traceback (most recent call last):
...
TypeError: Cannot coerce zeta52 into Cyclotomic Field of order 8 and
degree 4
}}}
This arises because `chi` is actually defined over a smaller cyclotomic
field. It can be fixed by letting `gauss_sum()` minimize the base ring.
--
Ticket URL: <http://trac.sagemath.org/ticket/19060>
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