#18086: Twists of newforms
-------------------------------------+-------------------------------------
Reporter: pbruin | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.6
Component: modular forms | Resolution:
Keywords: twist newform | Merged in:
Dirichlet character | Reviewers: Chris Wuthrich
Authors: Peter Bruin | Work issues: speed
Report Upstream: N/A | Commit:
Branch: | dd977f21a88f86e7ecc7712c1b921a23340f6879
u/pbruin/18086-Newform_twist | Stopgaps:
Dependencies: #6837, #18436 |
-------------------------------------+-------------------------------------
Changes (by pbruin):
* status: needs_review => needs_work
* work_issues: => speed
Comment:
The following is much slower than it should be (about 6.7 seconds on the
system I tested this on):
{{{
sage: F = Newforms(299,names='a')[0]
sage: F.twist(F.character())
q + a0*q^2 + a0*q^3 + (-a0 - 1)*q^4 + (-a0 - 1)*q^5 + O(q^6)
}}}
This is caused by a lot of unnecessary computations of roots of unity in
various number fields; see David's comment:16:ticket:18061.
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Ticket URL: <http://trac.sagemath.org/ticket/18086#comment:15>
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