Scatter a pint of cherry tomatoes out on the baking sheet.
Add the carrots, the onion, the 2 whole shallots, and all of the garlics.
Add 2 tablespoons of the olive oil, 1 teaspoon cumin, 1 teaspoon smoked paprika, 1 teaspoon dried dill, some black pepper and Kosher salt to taste.
Turn the garlic head halves upside down so their exposed flesh is against the baking sheet.
Bake for anywhere between 35 minutes to one hour.