#18436: Dimension formulae do not accept Dirichlet characters with certain base
rings
-------------------------+-------------------------------------------------
Reporter: pbruin | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.7
Component: modular | Keywords: Dirichlet character dimension
forms | formula
Merged in: | Authors: Peter Bruin
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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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.
--
Ticket URL: <http://trac.sagemath.org/ticket/18436>
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