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You can set up five nodes for the a_i, and then draw the knot with regular crossings at each of the a_i. If you use the knots library to draw the path of the knot, you can adjust the crossing at the "halfway" loop between the a_3 and -a_3. After that, use Jasper Habicht's suggestion of a \pic to place the "dotty" parts on top of the nodes. The ...
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