#11604: PARI qfminim bug only when called from Sage
--------------------------+-------------------------------------------------
   Reporter:  mmasdeu     |          Owner:  was                                
       Type:  defect      |         Status:  needs_review                       
   Priority:  major       |      Milestone:  sage-4.7.2                         
  Component:  interfaces  |       Keywords:  pari, qfminim, ZM_lll, large matrix
Work_issues:              |       Upstream:  N/A                                
   Reviewer:              |         Author:                                     
     Merged:              |   Dependencies:                                     
--------------------------+-------------------------------------------------
Changes (by mmasdeu):

  * status:  needs_info => needs_review


Old description:

> When calling the function
>
> pari('qfminim(%s,2,0)'%(A._pari_()))
>
> with certain matrix, I get the following:
>
> {{{
> sage: A=Matrix(ZZ,4,4,[32982266684193100, 1368614777139719,
> 224591013270052693 , 276460184982223238,1368614777139719,
> 56791380087354, 9319512049770279, 11471848267545007,224591013270052693 ,
> 9319512049770279 ,1529340971891522140,
> 1882541434053596358,276460184982223238 ,  11471848267545007,
> 1882541434053596358, 2317313350044091414])
> sage: pari('qfminim(%s,2,0)'%(A._pari_()))
>   ***   at top-level: qfminim([32982266684
>   ***                 ^--------------------
>   *** qfminim: bug in ZM_lll, please report
> ---------------------------------------------------------------------------
> RuntimeError                              Traceback (most recent call
> last)
>
> /home/float/<ipython console> in <module>()
>
> /home/float/sage/local/lib/python2.6/site-packages/sage/libs/pari/gen.so
> in sage.libs.pari.gen.PariInstance.__call__
> (sage/libs/pari/gen.c:43438)()
>
> RuntimeError: evaluating PARI string
>
> }}}
>
> I have found other examples of (also large) matrices where pari fails
> similarly. I have tried this example with standalone pari (both stable
> and developement versions) and it returns with no problem, so I guess it
> is a problem with the interface Sage-PARI.

New description:

 In Sage 4.7, when calling the function

 pari('qfminim(%s,2,0)'%(A._pari_()))

 with certain matrix, I get the following:

 {{{
 sage: A=Matrix(ZZ,4,4,[32982266684193100, 1368614777139719,
 224591013270052693 , 276460184982223238,1368614777139719,
 56791380087354, 9319512049770279, 11471848267545007,224591013270052693 ,
 9319512049770279 ,1529340971891522140,
 1882541434053596358,276460184982223238 ,  11471848267545007,
 1882541434053596358, 2317313350044091414])
 sage: pari('qfminim(%s,2,0)'%(A._pari_()))
   ***   at top-level: qfminim([32982266684
   ***                 ^--------------------
   *** qfminim: bug in ZM_lll, please report
 ---------------------------------------------------------------------------
 RuntimeError                              Traceback (most recent call
 last)

 /home/float/<ipython console> in <module>()

 /home/float/sage/local/lib/python2.6/site-packages/sage/libs/pari/gen.so
 in sage.libs.pari.gen.PariInstance.__call__ (sage/libs/pari/gen.c:43438)()

 RuntimeError: evaluating PARI string

 }}}

 I have found other examples of (also large) matrices where pari fails
 similarly. I have tried this example with standalone pari (both stable and
 developement versions) and it returns with no problem, so I guess it is a
 problem with the interface Sage-PARI.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11604#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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