#6160: Segmentation Fault with Multivariate Polynomial Ring
------------------------+---------------------------------------------------
 Reporter:  stankewicz  |       Owner:  somebody
     Type:  defect      |      Status:  new     
 Priority:  major       |   Milestone:          
Component:  algebra     |    Keywords:          
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 This is an example over a 2- variable polynomial ring over QQ (although
 sage does not see K as isomorphic to QQ

 lo...@sage:~$ sage
 ----------------------------------------------------------------------
 | Sage Version 3.4.1, Release Date: 2009-04-21                       |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: K.<j> = NumberField(x-1728)
 sage: R.<b,c> = K[]
 sage: f = b-j*c


 ------------------------------------------------------------
 Unhandled SIGSEGV: A segmentation fault occured in SAGE.
 This probably occured because a *compiled* component
 of SAGE has a bug in it (typically accessing invalid memory)
 or is not properly wrapped with _sig_on, _sig_off.
 You might want to run SAGE under gdb with 'sage -gdb' to debug this.
 SAGE will now terminate (sorry).
 ------------------------------------------------------------

 lo...@sage:~$

 Note that this does not pose a problem if the number field is not QQ

 sage: K.<j> = NumberField(x^2 - 2)
 sage: R.<b,c> = K[]
 sage: f = b-j*c
 sage: f
 b + (-j)*c

 Nor if the Polynomial Ring is Univariate

 sage: F.<i> = NumberField(x-1728)
 sage: S.<y> = F[]
 sage: y - i
 y - 1728
 sage: g = y - i
 sage: g = i*y^2 + 1
 sage: g
 1728*y^2 + 1

 Also note that this has nothing to do with Pari's occasional trouble with
 the ordering of variables

 sage: K.<j> = NumberField(x-1728)
 sage: R.<k,l> = K[]
 sage: f = k - j*l


 ------------------------------------------------------------
 Unhandled SIGSEGV: A segmentation fault occured in SAGE.
 This probably occured because a *compiled* component
 of SAGE has a bug in it (typically accessing invalid memory)
 or is not properly wrapped with _sig_on, _sig_off.
 You might want to run SAGE under gdb with 'sage -gdb' to debug this.
 SAGE will now terminate (sorry).
 ------------------------------------------------------------


 lo...@sage:~$

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6160>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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