If you can get it to run with the primer bulb, then the carburetor is still plugged. Did you take it apart completely and soak it?
That saw should have a Zama or Walbro carburetor. If you can give the the numbers off the carburetor, I should be able to get you a diagram.
The Zama number you supplied isn't valid, but I believe that would be a C1Q-M27 caburetor on there. Sometimes the way Zama stamps their numbers is a bit confusing. If this isn't what you have, please let me know.
Here's a parts diagram and service manual that should help. The service manual may take a few minutes to download.
I'll be happy to try to find a different diagram if this doesn't work for you. Looks to me like the M27 portion is the second part of the model number and the D6YP is the date code. All of Zama's model numbers begin with "C", except the rotary barrel carbs that start with "RB". The service manual shows where to find the model information.
Let me know if I can help. I don't want to leave you hanging with accepting a partial answer. I want your problem solved.