Where is the mystery? Of course you're going to have algae and slime problems if you have detectable nitrate and phosphate like that. Beef up your filteration, cut back on feeding, increase the flow, remove some fish, change your bulbs (if they're old) etc... But probably more important, you need to let your tank stabalize and mature. A cyano phase is very common in relatively new systems or systems that are constantly disrupted so give it time and if everything else is as it should be it will go away on its own.
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