#5430: Coleman integrals of differential forms from different rings
--------------------------------+-------------------------------------------
 Reporter:  jen                 |       Owner:  robertwb
     Type:  defect              |      Status:  new     
 Priority:  major               |   Milestone:  sage-3.4
Component:  algebraic geometry  |    Keywords:          
--------------------------------+-------------------------------------------

Comment(by robertwb):

 The end of the traceback is

 {{{
   File "parent.pyx", line 276, in sage.structure.parent.Parent.__call__
 (sage/structure/parent.c:3653)
   File "coerce_maps.pyx", line 76, in
 sage.structure.coerce_maps.DefaultConvertMap_unique._call_
 (sage/structure/coerce_maps.c:2793)
   File "coerce_maps.pyx", line 71, in sage.structure.coerce_maps._call_
 (sage/structure/coerce_maps.c:2700)
   File "rational.pyx", line 189, in sage.rings.rational.Rational.__init__
 (sage/rings/rational.c:4233)
   File "rational.pyx", line 312, in
 sage.rings.rational.Rational.__set_value (sage/rings/rational.c:5261)
   File "padic_generic_element.pyx", line 748, in
 
sage.rings.padics.padic_generic_element.pAdicGenericElement.rational_reconstruction
 (sage/rings/padics/padic_generic_element.c:7584)
   File "/Users/robert/sage/current/local/lib/python2.5/site-
 packages/sage/rings/arith.py", line 1516, in rational_reconstruction
     return ZZ(a).rational_reconstruction(m)
   File "integer.pyx", line 1981, in
 sage.rings.integer.Integer.rational_reconstruction
 (sage/rings/integer.c:13544)
   File "rational.pyx", line 2345, in
 sage.rings.rational.pyrex_rational_reconstruction
 (sage/rings/rational.c:15562)
   File "gmp.pxi", line 144, in
 sage.rings.rational.mpq_rational_reconstruction
 (sage/rings/rational.c:3032)
 ValueError: Rational reconstruction of 253015590 (mod 282475249) does not
 exist.
 }}}

 The question is, should this be an error, or just work?

 {{{
 sage: K = Qp(5, 10)
 sage: a = K(1/250037); a
 3 + 4*5 + 3*5^2 + 3*5^3 + 5^4 + 5^5 + 5^6 + 5^7 + 4*5^8 + 4*5^9 + O(5^10)
 sage: ZZ(a)
 9472973
 sage: QQ(a)
 Traceback (most recent call last):
 ...
 ValueError: Rational reconstruction of 9472973 (mod 9765625) does not
 exist.
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5430#comment:1>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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