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This paper has been withdrawn by the author, due to errors in Groebner basis calculations in the cases of five and six dimensional groups.

Differential Geometry · Mathematics 2007-05-23 Benjamin McKay

This paper has been withdrawn by the authors because M. Aschenbrenner pointed out that the proof of theorem 3.1 was incorrect.

Commutative Algebra · Mathematics 2007-05-23 Guillaume Rond

This paper has been withdrawn by the author due to a gap in the proof of the main result.

Functional Analysis · Mathematics 2007-05-23 Irina Kmit

This paper has been withdrawn by the corresponding author because the newest version is now published in Discrete Applied Mathematics.

Computational Complexity · Computer Science 2010-09-02 Sylvain Guillemot , Francois Nicolas , Vincent Berry , Christophe Paul

This paper has been withdrawn by the author due to a some errors in figures 2 and 3.

Optics · Physics 2009-11-13 Arash Sabatyan , Mohammad Taghi Tavassoly

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

Mathematical Physics · Physics 2007-07-11 John Fredsted

This paper has been withdrawn by the author due to an error in the proof of Theorem 1.

Geometric Topology · Mathematics 2009-03-30 Emmanuel Wagner

This paper is wrong and is therefore withdrawn.

Number Theory · Mathematics 2010-06-01 Cristian D. Gonzalez-Aviles

This paper has been withdrawn by the author due to a crucial errors.

High Energy Physics - Phenomenology · Physics 2010-01-04 Fazal-e-Aleem , Sohail Afzal Tahir

This paper has been withdrawn by the author due to a serious mistake on Lemma 2.4.

General Mathematics · Mathematics 2010-05-04 Seong Ik Cho

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

High Energy Physics - Theory · Physics 2015-05-13 Chang-Yong Liu

The methods used to prove the main result must be incorrect, as they can be used to arrive at a contradiction with previously known results. Thus the paper was withdrawn.

Mathematical Physics · Physics 2008-02-26 Robert Sims , Günter Stolz

This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

Numerical Analysis · Mathematics 2012-08-08 Juergen Geiser

I withdraw my paper from arXiv because there is a technical error in the proof of Theorem 1.1. And because of this error, all the results in the paper are untrue. I am very sorry for this.

Group Theory · Mathematics 2007-05-23 Manoj Kumar

This paper has been withdrawn by the author due to a crucial error in last part of proof.

Combinatorics · Mathematics 2007-05-23 Han Heewon

This paper has been withdrawn due to an error in the proof of the main theorem.

Chaotic Dynamics · Physics 2010-11-09 E. Pecou , B. Cessac , G. Espinoza

This paper has been retracted.

Machine Learning · Computer Science 2013-07-09 David McAllester

This paper has been withdrawn by the author, due a crucial error in Eq. 6.

Condensed Matter · Physics 2007-05-23 Daniel L. Miller

The paper has been withdrawn

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Machet