Ingredients:

  Amount  Measure       Ingredient -- Preparation Method
--------  ------------  --------------------------------
   2      teaspoons     minced gingerroot
   2      cloves        garlic -- minced
   3      tablespoons   fresh lime juice
   2      tablespoons   olive oil
   2      tablespoons   minced thyme
                        salt and pepper
   4                    swordfish steaks
                        --about 6 ounces each and 1-inch thick
                        ***FOR THE PESTO***
     1/3  cup           olive oil
     1/2  cup           freshly grated parmesan cheese
     1/3  cup           pine nuts
                        salt and freshly grated black pepper
   2      cups          coarsely chopped fresh basil leaves

Preparation:

In a bowl combine the gingerroot, garlic, lime juice, oil, thyme, salt and pepper. Arrange the swordfish steaks in a shallow glass baking dish and spoon the marinade over them. Let the fish marinate, covered and chilled, turning once, for an hour. Meanwhile, make the pesto. In a food processor combine all the ingredients and transfer to a bowl. Place swordfish steaks on your grill. Cook the steaks 4 inches above the coals for 3 to 4 minutes on each side, or until firm to the touch. Alternatively, broil them under a preheated broiler 4 inches from the heat for 3 to 4 minutes on each side. Serve with pesto.