I need to change my graphic into an SVG file ("vector format") for a project I need printed. How can I do this without buying super expensive software? I've read it's possible to script it, but I have no idea where to even start. Any help is appreciated :) Thanks!!

If I'm not mistaken you should be able to work with SVG in Illustrator ad Freehand as these are one of vector packages.
Also if you google for how-to svg or draw svg you get some additional resources that often included programming or scripting solutions

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