My thoughts on each...
Harm: I believe in my own version of Utilitarianism, so Harm should be important... however thinking Harm is bad tends to oversimplify things. To me it's like, if you are running a business and your number one goal is to profit... well, sometimes in order to make more money for the future, you have to invest your funds now.
Fairness: I often operate according to fairness, but really I think efficiency is the main thing. It doesn't matter if everyone is treated the same, what counts is what happens overall. Fairness can stop arguments, but it can also mean we have to sacrifice reality.
Loyalty: My highest score. I definitely am a fan of group cohesion, and being able to trust and count on those who you should be able to. A lack of trust in those around you means we can't work together towards goals.
Authority: My lowest score... but this is probably because of what passes as authority these days. From parents, teachers, police, government... I see all the corruption and illegitimacy of the authority these people have. I often think I know better than them, or at least that I can see many flaws to the method. I think I do value authority a lot though, but it has to be legitimate... I believe in Plato, everyone to their own position. What I am saying is I don't think society puts people in the right positions.
Purity: not sure of this one. I think that losing purity often means one arbitrary experience lessens everything that comes after it. This can be a very serious issue which most people try to ignore.
Well, it seems we have no liberals here. Liberals like to keep up with the times... they don't think over long periods. Individualism... everyone is equal, and everyone has rights - so harm no one and treat everyone the same. You are your own person, so you don't owe loyalty to anyone, you don't have to respect authority (which is all corrupt anyway...) and notions of purity are outdated and caused by personal feelings of disgust, not reality... well, I think conservatism is more honest... we have these in built moral codes, and liberals say, well let's do away with the ones that don't help us get ahead in modern society as individuals. Well, the group suffers if we forget all the factors and pick and choose as we please... but maybe this is a biological difference, not a cultural one... I am not too familiar with the work of the person who has made this division of moralities.