If your CYA reading is at 55, then you really don't want to use the dichlor. It is stabilized which means it adds CYA as well as chlorine. A CYA of 55 is high enough. Just stick with using bleach or liquid pool store chlorine. Since you have a large volume pool, if your pool store has large carboys of either 10% or 12.5% sodium hypochlorite (which is the same stuff as bleach but at a higher concentration -- bleach is 6%), that might a good choice for your pool if you can get it at a good price. It will cut down on the number of jugs of bleach you have to deal with. (By the way, you also don't want to use any trichlor pucks as they also have CYA in them. So, you won't want to use your chlorinator.)
Your numbers look pretty good except that we don't know the CC (combined chlorine) reading which is also important to know. Do yourself a favor and get the K-2006 or 2006C Ben suggested above. It will test all the things that are important. Ditch the test strips. We call them 'guess strips' because they aren't very reliable. Since the K-2006 has to be ordered online, you need something to use in the meantime. See if your Walmart has an HTH 6-Way kit (NOT test strips). If not, at the least, get an OTO/Phenol Red (yellow and red drops) kit. You need to be testing your pH and chlorine every day and adding enough chlorine so that you stay between 3-6 ALL the time. If you dip lower, you risk an algae bloom. Read the Best Guess Chlorine Chart in my signature below for more info.
One other thing I want you to do. Test the chlorine level after the sun is off the pool. Then, test it again the next morning within 2 hours of sunrise. Report back how much chlorine you lose overnight.
EDIT -- Upon rereading your post, I see that you are using 12.5% chlorine. That is a good idea for such a high volume pool. Stick with that. I also notice that in your first post you list a volume of 40K but on the Pool Chart, you list 32K gallons. Which is correct?
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