Heat oven to 325°F. Arrange a rack on the bottom of the oven.
Mix spices together in a small bowl.
Remove the neck and giblets and either throw them away or reserve them for making gravy. If the turkey has the plastic piece around the legs, remove that too along with the plastic piece in the breast that is supposed to indicate when it is done (it doesn't work). Rinse turkey inside and out and pat dry with paper towels inside the turkey cavity as well as the skin.
Rub the turkey all over with the olive oil, getting some inside the cavity as well. Sprinkle the spice mix evenly over the whole turkey, getting some inside the turkey too.
Place turkey on a wire rack (like a cooling rack) inside a large pan or baking sheet. If you have a roasting pan with a rack, use that. Tuck the wing tips behind the turkey so it exposes the bottom side of the wings. Tie the legs together with twine.
Roast the turkey until the skin is golden brown and crisp and an instant-read thermometer reads 160°F when inserted in the inside, thick section of the thigh. This will take anywhere from 2-3 hours depending on the size of the turkey. Start checking to see if the turkey is done around hour 2. Rotate the turkey every hour to ensure even cooking.
Remove from the oven, tent with a piece of foil and let rest for 30 minutes. Slice the turkey and serve.