While the pasta cooks, place the carrots, walnuts, olive oil, flaxseed, vegan Parmesan, salt and basil leaves in the bowl of a food processor. Add 1-2 ice cubes if you like to make it creamier and prevent the basil from oxidizing.
¾ lb carrots
1 cup walnuts
¼ cup olive oil
1 tablespoon flaxseed
2 tablespoons vegan Parmesan
½ teaspoon salt
6-8 fresh basil leaves