bugAxiom Computer Algebra System - Bugs: bug #8086, rootsOf(2*z^4 + z^3 - z - 2)...

 
 

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bug #8086: rootsOf(2*z^4 + z^3 - z - 2) wrong

Submitted by:  Martin Rubey <kratt6>
Submitted on:  Wed 10 Mar 2004 09:06:43 AM UTC  
 
Category:  algebra Severity:  3 - Normal
Item Group:  code bug Status:  None
Privacy:  Public Assigned to:  None
Originator Name:  kratt6 Open/Closed:  Open
Release:  14.6.2003 Reproducibility:  None
Fixed Release: 
Error message: 
Example of code trigerring the bug: 

rootsOf(2*z^4  + z^3  - z - 2) wrong
rootsOf(2*z^4  + z^3  - z - 2, z) correct
rootsOf(z^4  + z^3  + z - 1) wrong
rootsOf(z^4  + z^3  + z - 1,z) correct

Internal cause: 

Sat 22 May 2004 01:48:36 PM UTC, comment #1: 

Maybe I should have added why rootsOf(2*z^4 + z^3 - z - 2) is wrong:
2*z^4+z^3-z-2=(z^2-1)*(2*z^2+z+2),
thus no two roots are equal, contrary to axioms result.

Martin

Martin Rubey <kratt6>
Wed 10 Mar 2004 09:06:43 AM UTC, original submission:  

a fresh Axiom says

(1) -> rootsOf(2*z^4  + z^3  - z - 2,z)

                     - 2%z2 - 2%z1 - 2%z0 - 1
   (1)  [%z0,%z1,%z2,------------------------]
                                 2
                                                Type: List Expression Integer

(2) -> rootsOf(2*z^4  + z^3  - z - 2)
   Loading /home/rubey/axiom/mnt/linux/algebra/POLY2.o for package
      PolynomialFunctions2
   Loading /home/rubey/axiom/mnt/linux/algebra/ALGMANIP.o for package
      AlgebraicManipulations
   Loading /home/rubey/axiom/mnt/linux/algebra/IDPOAMS.o for domain
      IndexedDirectProductOrderedAbelianMonoidSup
   Loading /home/rubey/axiom/mnt/linux/algebra/IDPOAM.o for domain
      IndexedDirectProductOrderedAbelianMonoid
   Loading /home/rubey/axiom/mnt/linux/algebra/SETCAT-.o for domain
      SetCategory&
   Loading /home/rubey/axiom/mnt/linux/algebra/EVALAB-.o for domain
      Evalable&
   Loading /home/rubey/axiom/mnt/linux/algebra/RETRACT-.o for domain
      RetractableTo&
   Loading /home/rubey/axiom/mnt/linux/algebra/RADCAT-.o for domain
      RadicalCategory&
   Loading /home/rubey/axiom/mnt/linux/algebra/BASTYPE-.o for domain
      BasicType&
   Loading /home/rubey/axiom/mnt/linux/algebra/IEVALAB-.o for domain
      InnerEvalable&
   Loading /home/rubey/axiom/mnt/linux/algebra/COMMUPC.o for package
      CommuteUnivariatePolynomialCategory
   Loading /home/rubey/axiom/mnt/linux/algebra/PRS.o for package
      PseudoRemainderSequence
   Loading /home/rubey/axiom/mnt/linux/algebra/UPSQFREE.o for package
      UnivariatePolynomialSquareFree
   Loading /home/rubey/axiom/mnt/linux/algebra/HEUGCD.o for package
      HeuGcd
   Loading /home/rubey/axiom/mnt/linux/algebra/INMODGCD.o for package
      InnerModularGcd
   Loading /home/rubey/axiom/mnt/linux/algebra/EMR.o for domain
      EuclideanModularRing
   Loading /home/rubey/axiom/mnt/linux/algebra/MDDFACT.o for package
      ModularDistinctDegreeFactorizer
   Loading /home/rubey/axiom/mnt/linux/algebra/MODRING.o for domain
      ModularRing
   Loading /home/rubey/axiom/mnt/linux/algebra/LIST2MAP.o for package
      ListToMap

   (2)  [%z4,%z5,%z5,- %z5]
                                                   Type:   List AlgebraicNumber

which is wrong.

Same thing for zerosOf, same thing for z^4+z^3+z-1

Martin Rubey <kratt6>

 

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Depends on the following items: None found

Items that depend on this one: None found

 

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    Follows 1 latest change.

    Date Changed by Updated Field Previous Value => Replaced by
    2008-11-25 axiom Example of code trigerring the bugrootsOf(2*z^4 + z^3 - z - 2) wrong rootsOf(2*z^4 + z^3 - z - 2, z) correct rootsOf(z^4 + z^3 + z - 1) wrong rootsOf(z^4 + z^3 + z - 1,z) correct => rootsOf(2*z^4 + z^3 - z - 2) wrong rootsOf(2*z^4 + z^3 - z - 2, z) correct rootsOf(z^4 + z^3 + z - 1) wrong rootsOf(z^4 + z^3 + z - 1,z) correct

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