Step 1

Preheat the oven to 450 degrees F.

Step 2

Grate the carrots (set the tops aside--you will use them later) and potato in a food processor fitted with the shredding attachment. Transfer to a colander set over a large bowl and add the scallion whites and 1/2 teaspoon salt. Use your hands or a clean dish towel to squeeze as much moisture out as possible. Discard the liquid in the bowl, then add the carrot mixture to that bowl. Stir in the panko, raisins, harissa, brown sugar, cumin, sumac, 2 eggs, 1 1/2 teaspoons salt and a bunch of grinds of black pepper (I did until well combined.

Step 3

Heat 1/4 cup of the oil in a 10-inch skillet over medium-high heat (see Cook's Note). Drop a small amount of the carrot mixture into the skillet. When it starts to sizzle, your oil is ready. Add the rest of the carrot mixture to the skillet and press down using the back of a spatula. Let cook, untouched, until the edges of the carrots turn a very deep golden brown, 4 to 5 minutes. Create 3 small divots in the top of the carrot mixture using the bottom of a measuring cup. Brush 1 tablespoon oil on top and transfer the skillet to the oven. Bake until the carrots are set and the top is a deep golden brown, about 20 minutes.

Step 4

Carefully crack the remaining 3 eggs into the divots and bake until the egg whites are set and the yolks are still runny, about 8 minutes. (Cracking the eggs into a small bowl and pouring them into the divots makes this part a little easier and less messy). Use a spatula to help slide the hash out of the skillet onto a serving platter.

Step 5

Meanwhile, make the pesto. Roughly chop the carrot tops and scallion greens and add to the bowl of a food processor along with the basil, sunflower seeds, vinegar, garlic, 1 teaspoon salt and a few grinds of pepper. Pulse until everything is very finely chopped. Slowly drizzle in the remaining 1 1/2 cups oil and 1/4 cup water until smooth and drizzly. Drizzle the pesto over the top of the hash and slice into wedges. Serve with the remaining pesto on the side.