#6036: a bug in polynomial()
---------------------+------------------------------------------------------
 Reporter:  klee     |       Owner:  Somebody
     Type:  defect   |      Status:  new     
 Priority:  minor    |   Milestone:  sage-4.0
Component:  algebra  |    Keywords:          
---------------------+------------------------------------------------------
 This works:

 {{{
 sage: R.<x,y>=PolynomialRing(QQ,2)
 sage: a=x^2+x*y+y
 sage: a.polynomial(x)
 x^2 + y*x + y
 }}}

 But this does not work:

 {{{
 sage: R.<x,y>=PolynomialRing(GF(5),2)
 sage: a=x^2+x*y+y
 sage: a.polynomial(x)
 Traceback (most recent call last):
 ...
 TypeError: 'tuple' object cannot be interpreted as an index
 }}}

 The bug is essentially in:
 {{{
 sage: B=QQ[x]
 sage: print B({0:1,1:2})
 2*x + 1
 sage: print B({(0,):1,(1,):2})
 2*x + 1
 sage: B=GF(5)[x]
 sage: print B({0:1,1:2})
 2*x + 1
 sage: print B({(0,):1,(1,):2})
 Traceback (most recent call last):
 ...
 TypeError: 'tuple' object cannot be interpreted as an index
 }}

 I think the second form is not acceptable. Then the function
 remove_from_tuple() in sage.rings.polynomial.multi_polynomial.pyx
 should be revised as it output (1,) from (1,2) for example

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6036>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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