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The paper has been withdrawn by the author.

This paper has been withdrawn by the author because in the main text some discussion parts were inadvertently added by mistake.

This paper has been withdrawn by the author due to the need for further revision.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to a coming paper completely superseding it.

This paper has been withdrawn by the authors, as it was combined with "Conformally invariant energies of knots I" (math/0409396) to be "Conformally invariant energies of knots" which has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This paper has been withdrawn by the author due to a missing figure

This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.

This submission has been withdrawn at the request of the author.

This paper has been withdrawn

The paper has been withdrawn

This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the publication.

This paper has been withdrawn due to an incorrect proof.

The paper has been withdrawn by the author.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to some problems.

Paper withdrawn by the author.

This paper has been withdrawn due to its publication

The paper has been withdrawn

This paper has been withdrawn by the author due to an extended and largely modified version of the paper was published in arXiv (see arXiv:0807.3694, Disjoint minimal graphs).