#10975: creation of certain prime finite fields is double dog slow (compared to
Magma)
--------------------------------+-------------------------------------------
   Reporter:  was               |       Owner:  AlexGhitza
       Type:  enhancement       |      Status:  new       
   Priority:  critical          |   Milestone:  sage-4.7  
  Component:  basic arithmetic  |    Keywords:            
     Author:                    |    Upstream:  N/A       
   Reviewer:                    |      Merged:            
Work_issues:                    |  
--------------------------------+-------------------------------------------

Comment(by was):

 More output:
 {{{

 d-69-91-173-38:~ wstein$ magma
 Magma V2.17-4     Mon Mar 21 2011 14:09:50 on d-69-91-173-38 [Seed =
 1755486988]
 Type ? for help.  Type <Ctrl>-D to quit.
 > time FiniteField(10^310+733)
 time> ;
 Finite field of size
 
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\
 
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\
 
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000733
 Time: 0.040
 > time DefiningPolynomial(FiniteField(10^310+733));
 $.1 +
 
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\
 
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\
 0000000000000000000000000000000000000000000000000000000000000000000000000000732
 Time: 0.040
 }}}

 {{{
 sage: time FiniteField(10^310+733)
 CPU times: user 34.35 s, sys: 0.04 s, total: 34.40 s
 Wall time: 34.41 s
 Finite Field of size
 
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000733
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10975#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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