Oh this.
I've done this before.
I'm also in the lower left quadrant, about 4 up, 3 across if I remember rightly.
However I find that this is more accurate the closer to the centre you go, as I am basically in the same place as my sister yet we can have some rather different political opinions every now and then. So the accuracy of this thing is debatable, mostly accurate, but debatable.
It also lacks explanation:
It can make everyone deep into the Green appear to be an Anarchist to people in blue or red. (I am not an anarchist, yet I am VERY deep into the green)
It makes everyone somewhat deep into red look like Soviet Comrade Communists to people in blue or purple.
It can make everyone deep into the blue look like right-wing Super Capitalists to people in the green and red.
No one is kinda sure what purple is because there's a lack of real world examples.
For the above stated reasons, I prefer a different test; instead of 2 axes (left-right, authoritarian-libertarian) it essentially has four.
It is this: https://8values.github.io
And this is me:
Yeah, the Political Compass test isn't so great at capturing all factors. It has its uses though; it's good for broader analysis, but when you want more statistical detail you might need another test.
Indeed, it is rather rare to encounter 'purples' because of that. For example, Hitler ranks centre on the left-right, but full authoritarian, despite classically being depicted as Maximum Right-Lord.