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This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the publication.

This paper has been withdrawn, pending revision of the main conclusion, in the light of the criticism of cond-mat/0302043.

This paper has been withdrawn by the author due to the inaccurate result.

This paper has been withdrawn by the authors, due to issues concerning the use of unpublished experimental data.

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This paper has been withdrawn by the author.

This paper has been withdrawn.

This paper has been withdrawn by the authors, as it was combined with "Conformally invariant energies of knots I" (math/0409396) to be "Conformally invariant energies of knots" which has replaced the former.

This paper was withdrawn by the author.

The effect of the random quantum transverse field $\Omega$

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There have been comments on this paper which point out unclear motivation and definitions on noncommutative momentum introduced. Therefore, this paper is withdrawn by the author for more clear presentation.

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This paper has been withdrawn, and will be superseded by another submission.

This paper has been withdrawn by the authors due to a crucial error.

This paper has been withdrawn due to new simulations that modify some of the results.

This paper has been withdrawn by the author

This paper has been withdrawn by the author

This paper has been withdrawn by the author