Preheat oven to 325. Toast coriander seeds, cumin seeds, and mustard seeds in a small dry skillet over medium heat, tossing occasionally, until fragrant, 4 to 5 minutes. Transfer to a plate to cool. Grind to a fine powder in a spice grinder or with a mortar and pestle. Transfer to a bowl; stir in nutmeg and cayenne with a fork. Add chopped cilantro, scallions, salt, and ginger; stir to combine.
Place carrots and onion in a 13-by-9-inch baking dish. Stir together coconut milk, carrot juice, and ginger in a glass measuring cup. Pour 1 cup mixture over vegetables, and transfer to oven; cook 12 minutes. Remove from oven.
Dredge chicken in spice mixture to coat. Set on top of vegetables; drizzle with remaining coconut-milk mixture. Cook until chicken is cooked through, 25 to 30 minutes. Transfer chicken and vegetables to a plate, and tent with foil.
Ladle about 1 1/2 cups pan juices into a small saucepan. Bring to a simmer; cook until reduced by half, 6 to 7 minutes.
Divide chicken and vegetables among 4 plates; drizzle with sauce. Serve with oranges; garnish with cilantro sprigs.
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