Mathematica 9 is now available
Some Implementation Details
1. Branch points
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2. Divide [Graphics:../Images/TalkGD99_gr_69.gif]--plane

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3. System of (meromorphic) differential equations
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4. Calculate sheets

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Initial conditions for analytically continued sheets.

5. Solve ODEs radial and azimuthal

--> interpolating function describing [Graphics:../Images/TalkGD99_gr_83.gif] in each patch

6. Make and display polygons

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Pictures with complicated branch cuts



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