When you bring home the halibut run your finger along the filet to make sure that it has been properly cleaned, in other words that there are no bones left in it and there are no fish scales or skin.
Season the fish with the lemon and lime zest. Season with salt and pepper.
In a skillet on medium high heat melt the butter, add in the halibut and cook 3 minutes per side. Once you turn the fish add in the juice of the lime and the lemon directly on the filets. Garnish with the basil.
Serve this fish on a bed of salad with a side of kale it makes for a "superfood" lunch or dinner.