#10903: Update Singular to 3-1-2 or higher
------------------------+---------------------------------------------------
   Reporter:  malb      |          Owner:  tbd                           
       Type:  defect    |         Status:  needs_info                    
   Priority:  critical  |      Milestone:  sage-4.7.2                    
  Component:  packages  |       Keywords:  singular SageDays34 sd34      
Work_issues:            |       Upstream:  N/A                           
   Reviewer:            |         Author:  Burcin Erocal, Martin Albrecht
     Merged:            |   Dependencies:  #11339                        
------------------------+---------------------------------------------------

Comment(by malb):

 Alright,

 on my computer with

 {{{
 trac_11339_refcount_singular_rings.patch
 trac_11339_refcount_singular_polynomials.patch
 10903_singular-3-1-4.patch
 }}}

 I'm down to these two:

 {{{
 $ sage -t -long -force_lib
 "devel/sage/sage/schemes/plane_conics/con_finite_field.py"
     sage: assert
 all([C.defining_polynomial()(Sequence(C.has_rational_point(point =
 True)[1])) == 0 for C in c[r::5]]) # long time: 1.6 seconds
 Exception raised:
 ...
 TypeError: Coordinates [4, 4, 1] do not define a point on Projective Conic
 Curve over Finite Field of size 5 defined by x*y + x*z + y*z + z^2
 }}}

 {{{
 sage -t -long -force_lib
 "devel/sage/sage/schemes/generic/algebraic_scheme.py"
     sage: A.subscheme([x]) + A.subscheme([y^2 - (x^3+1)])
 Expected:
     Closed subscheme of Affine Space of dimension 2 over Rational Field
 defined by:
     -x^4 + x*y^2 - x
 Got:
     Closed subscheme of Affine Space of dimension 2 over Rational Field
 defined by:
       x^4 - x*y^2 + x
 }}}

 The latter doesn't look like a bug but an improvement actually.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10903#comment:25>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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