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- I would like to thank R. Solleg for useful discussions. I am grateful to P. Wisp for assistance with the numerical simulations and G. Wang for carefully proofreading the manuscript. This work was supported by a Grant-in-Aid for Scientific Research (No. A234-1) from PCAC.
- The authors are grateful to P.S. Renoult for suggesting the topic treated in this paper. We also thank T.M. Jones for sharing her dataset with us. One of us (V.A.) is supported by a JSPS Grant for Young Scientists. This work is supported by NSF Grants AAG-234 and YIG-457-3.
- The authors would like to thank J. Yamana for technical assistance with the experiments. We also thank Y. Ohta and J. Franklin for lending their expertise on the application of Lie algebra techniques. Finally, we are grateful to the referees for useful comments. This work is supported by a Grant for Medical Technology Research from the McGovern Foundation.
- I am grateful to P.G. Moget for collaboration on the early stages of this work. I would like to thank the members of Hunt Institute for their hospitality during my visit, when the main results of this paper were obtained. I would also like to take this opportunity to thank J. Jeffers for years of collaboration and advice. This work is supported by Grants-in-Aid for Fundamental Research (Nos. 31-34-1 and 56-44-2) from the GHO.