#16893: Free modules over PIDs
-------------------------------------+-------------------------------------
       Reporter:  aly.deines         |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.4
      Component:  linear algebra     |   Resolution:
       Keywords:  free modules, PID  |    Merged in:
        Authors:  aly.deines         |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/aly.deines/free_modules_over_pids|  867b1507389a0b3f3c4be024bffb0c8a1f1a2cb8
   Dependencies:                     |     Stopgaps:
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Comment (by vdelecroix):

 After a first lecture:

 - `self` should not be mentioned in the `INPUT` section.

 - in your example `[ideal(ZZ(p)) for p in ...]` you could remove the `ZZ`.
 The output of `prime_range` are already integers.

 - {{{ValueError("gens and ideal_list must have the same lenghth")}}} chane
 `lenghth` into `length`

 - it is better to use `ZZ is ZF` rather than `ZZ == ZF`. The reason is
 that it does not involve Python comparisons (which might be tedious).
 Similarly, you can safely replace `ideal_list == None` with `ideal_list is
 None`

 - instead of `pari(F)` use `F._pari_()`. Doing that way you can remove
 `pari` from the imported modules. You can also go from `pari` to `sage`
 using `.sage()`
 {{{
 sage: m = matrix([[2,1],[1,1]])
 sage: p = m._pari_()
 sage: p
 [2, 1; 1, 1]
 sage: p.sage()
 [2 1]
 [1 1]
 }}}
   copying the entries one by one will be rather slow (it will not
 necessarily works well with number field elements).

 - you can replace {{{[F.ideal(1) for id in range(len(self.gens()))]}}}
 with {{{[F.ideal(1)] * len(self.gens())}}}.

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/16893#comment:4>
Sage <http://www.sagemath.org>
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