#3045: [with patch, needs review] K.gen() where K = GF(p) returns 1, not a
primitive element
---------------------------+------------------------------------------------
 Reporter:  jxxcarlson     |        Owner:  was       
     Type:  defect         |       Status:  new       
 Priority:  major          |    Milestone:  sage-3.4.1
Component:  number theory  |   Resolution:            
 Keywords:  galois field   |  
---------------------------+------------------------------------------------
Changes (by AlexGhitza):

  * summary:  K.gen() where K = GF(p) returns 1, not a primitive element =>
              [with patch, needs review] K.gen() where K =
              GF(p) returns 1, not a primitive element

Comment:

 This is actually the correct behaviour.  The function that returns a
 primitive element is K.multiplicative_generator(), not K.gen().  There was
 some inconsistency in the docstrings of the various types of finite
 fields, which is fixed by the attached patch.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/3045#comment:1>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
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