As stated above, don't cut any lines. If you believe they are clogged then you can order a new one from Neptune. They are not that expensive. Also if you haven't send a support ticket tonight. It will get picked up in the morning and you will have a call by noon. Email for sure.
I think it was already suggested but to 2nd you can remove the line and blow through. You should feel air on the other end. If that is working then Neptune can explain how to take apart the trident. I don't think they will have you do that though but rather provide a way to see if it is actually pulling water in, etc. Inside the lines are a bit tricky from the manifold. More or less what you will do is trace the drop of blood through it as much as you can without removing any of the lines.
If you haven't - send in a ticket.