Arrange pie crust in a 9-inch pie plate, and crimp or scallop the edges.
In a small bowl, combine the chocolate and butter.
Microwave at 30-second intervals, stirring in between, until the chocolate is melted, and the mixture is smooth.
In a large bowl, combine the eggs, light corn syrup, dark corn syrup, and sugar, whisking until combined.
Fold in the chocolate mixture, pecans, and coconut.
Pour into prepared pie crust.
Bake at 350 degrees for 45-50 minutes, or until the edges are golden and appear set, and the center is only slightly jiggly.
Remove to a wire rack to cool completely.
Chill thoroughly before cutting and serving, at least 2 hours.