#6428: Large exponents overflow to negative in polydict ring
---------------------+------------------------------------------------------
 Reporter:  broune   |       Owner:  tbd
     Type:  defect   |      Status:  new
 Priority:  major    |   Milestone:     
Component:  algebra  |    Keywords:     
 Reviewer:           |      Author:     
   Merged:           |  
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Old description:

> Large exponents overflow to negative in polydict ring:
>
> sage: from sage.rings.polynomial.multi_polynomial_ring import \
> ...       MPolynomialRing_polydict
> sage: ring = MPolynomialRing_polydict(ZZ, 3, ['a','b','c'], "lex")
> sage: a = ring.gens()[0]
>
> sage: a^(2^31-1)
> a^2147483647
>
> sage: a^(2^31)
> a^-2147483648
>
> sage: a^(2^32)
> 1

New description:

 Large exponents overflow to negative in polydict ring:


 {{{
 sage: from sage.rings.polynomial.multi_polynomial_ring import \
 ...       MPolynomialRing_polydict
 sage: ring = MPolynomialRing_polydict(ZZ, 3, ['a','b','c'], "lex")
 sage: a = ring.gens()[0]

 sage: a^(2^31-1)
 a^2147483647

 sage: a^(2^31)
 a^-2147483648

 sage: a^(2^32)
 1

 }}}

--

Comment(by broune):

 Fixed layout.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6428#comment:1>
Sage <http://sagemath.org/>
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