As a result of finding the libertarian purity test again, I decided to see what other political spectrum tests I could find. Most of what I found was awful, but I found a couple interesting new ones. One was basically the libertarian purity test run by anarcho socialists which I'll find again and link at some point. And one was a project on github called 8values, which is a 4-dimensional test (or should I say Tess, since you'd need a tesseract to depict it properly). Note that to share your results you will need to save the picture and upload them: the image is a blob which our image tags won't display.
My results on the social and economic dimensions were not a big surprise: I was barely right-of-center on economics but very socially libertarian. My result on the tradition/progress axis was also unsurprising: though I don't like being called "progressive," I'm a big believer in progress. Being centrist on the nationalist/internationalist axis was a surprise; I'd have been sure that I'd be noticeably further towards the internationalist side. But then, I hate the UN, am skeptical of the EU, and believe that liberal democracy is superior to all other systems, and am willing to use pressure (though generally not war) to impose it on other countries.
There's also some questions where I think my answer may have given a result opposite of what it should. For example, I said that the government should override the will of the people sometimes, but my reason for saying this is that people tend to vote for unnecessary restrictions and even violations of other people's civil liberties. I couldn't tell what this question was supposed to affect, so I tested it (putting everything else neutral) and it moves you 1.5% towards authoritarian. And though I didn't test this, dollars to donuts the one about people often making poor decisions does the same, even though my belief is that people often make poor decisions and should absolutely have the right to make them.
Edited to add link.