#18436: Dimension formulae do not accept Dirichlet characters with certain base
rings
-------------------------------------+-------------------------------------
Reporter: pbruin | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.7
Component: modular forms | Resolution:
Keywords: Dirichlet | Merged in:
character dimension formula | Reviewers:
Authors: Peter Bruin | Work issues:
Report Upstream: N/A | Commit:
Branch: | a38e707bc54952c8ac5f84353c2d3566b206fb69
u/pbruin/18436-dimension_formulae | Stopgaps:
Dependencies: |
-------------------------------------+-------------------------------------
Old description:
> In Sage 6.7:
> {{{
> sage: K.<a> = NumberField(x^2 + x + 1)
> sage: G = DirichletGroup(13, base_ring=K)
> sage: Gamma1(13).dimension_cusp_forms(2, G[1])
> Traceback (most recent call last):
> ...
> TypeError: No compatible natural embeddings found for Complex Lazy Field
> and Number Field in a with defining polynomial x^2 + x + 1
> }}}
> This is because `dimension_eis()` tries to convert the character `G[1]`
> into a Dirichlet group with an incompatible base ring. This was fixed
> for `dimension_cusp_forms()` in #8630; we fix `dimension_eis()` in a
> similar way.
New description:
In Sage 6.7:
{{{
sage: K.<a> = NumberField(x^2 + x + 1)
sage: G = DirichletGroup(13, base_ring=K)
sage: Gamma1(13).dimension_modular_forms(2, G[1])
Traceback (most recent call last):
...
TypeError: No compatible natural embeddings found for Complex Lazy Field
and Number Field in a with defining polynomial x^2 + x + 1
}}}
This is because `dimension_eis()` tries to convert the character `G[1]`
into a Dirichlet group with an incompatible base ring. This was fixed for
`dimension_cusp_forms()` in #8630; we fix `dimension_eis()` in a similar
way.
--
Comment (by pbruin):
Replying to [comment:3 chapoton]:
> Hmm, I have no such bug in sage 6.7 ! was it maybe in a previous version
of sage ?
Sorry, I mistakenly put an example in the ticket description that does not
exhibit the bug. It should read `dimension_modular_forms` (or
`dimension_eis`) instead of `dimension_cusp_forms`. I fixed the
description.
--
Ticket URL: <http://trac.sagemath.org/ticket/18436#comment:4>
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