#5102: eisenstein_series_qexp broken over finite fields
---------------------------+------------------------------------------------
 Reporter:  AlexGhitza     |       Owner:  AlexGhitza
     Type:  defect         |      Status:  new       
 Priority:  major          |   Milestone:  sage-3.3  
Component:  modular forms  |    Keywords:            
---------------------------+------------------------------------------------
 {{{
 sage: eisenstein_series_qexp(10, 15, GF(17))
 15 + q + 3*q^2 + 15*q^3 + 7*q^4 + 13*q^5 + 11*q^6 + 11*q^7 + 15*q^8 +
 7*q^9 + 5*q^10 + 7*q^11 + 2*q^12 + 12*q^13 + 12*q^14 + O(q^15)
 }}}

 is wrong, whereas

 {{{
 sage: eisenstein_series_qexp(10, 15).change_ring(GF(17))
 15 + q + 3*q^2 + 15*q^3 + 7*q^4 + 13*q^5 + 11*q^6 + 11*q^7 + 15*q^8 +
 7*q^9 + 5*q^10 + 7*q^11 + 3*q^12 + 14*q^13 + 16*q^14 + O(q^15)
 }}}

 is right.  We tracked this down to a change in the polynomials over finite
 fields constructor when `check=False`.  We'll quickly fix this at the cost
 of making it slower; better fix will come soon.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5102>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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