#6020: [with plan, needs patch] bug in delta_qexp over finite fields
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   Reporter:  AlexGhitza     |       Owner:  craigcitro                    
       Type:  defect         |      Status:  needs_work                    
   Priority:  major          |   Milestone:  sage-4.4                      
  Component:  modular forms  |    Keywords:  delta q-expansion finite field
     Author:                 |    Upstream:  N/A                           
   Reviewer:                 |      Merged:                                
Work_issues:                 |  
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Changes (by mraum):

  * upstream:  => N/A


Comment:

 As I said #6671 I merge this with the new code given there. I did some
 timings and the result is clear: Coercion into the new ring after using
 FLINT is fast.
 Timeing:
 {{{
 sage: P = PowerSeriesRing(GF(7), 'q')
 sage: from sage.modular.modform.vm_basis import _delta_poly

 sage: %timeit P(_delta_poly(50).list(), check = True)
 625 loops, best of 3: 407 µs per loop
 sage: %timeit _delta_poly(50, GF(7))
 625 loops, best of 3: 1.41 ms per loop

 sage: %timeit P(_delta_poly(10**5).list(), check = True)
 5 loops, best of 3: 620 ms per loop
 sage: %timeit _delta_poly(10**5, GF(7))
 5 loops, best of 3: 1.62 s per loop

 sage: %timeit h = P(_delta_poly(10**6).list(), check = True)
 5 loops, best of 3: 7.98 s per loop
 sage: %timeit h =_delta_poly(10**6, GF(7))
 5 loops, best of 3: 16.9 s per loop

 }}}

 I conclude that it is better to wait for Craig's new code. If nobody is
 opposed I will asked the current release manager (I think it's Minh) to
 make this as closed (since it is fixed by #6671).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6020#comment:7>
Sage <http://www.sagemath.org>
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