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[en] I derive two sum rules for the nontopological self-dual Chern-Simons vortices obtained recently by Jackiw, Lee and Weinberg. Using these sum rules I rigorously show that these nontopological vortices have a flux which is always greater than 4π/e. Further, using these sum rules, I analytically calculate the magnetic moment of these vortices. (orig.)
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