Wash the basil, dab dry and chop coarsely except for a little to garnish. Roast the pine nuts until golden yellow. Peel garlic and chop finely. Blend basil, pine nuts, garlic, 7 tablespoons of olive oil and Parmesan finely with the hand mixer. Season with salt and pepper. Covered and let it steep
Peel the carrots and cut them lengthwise into thin slices with the slicing machine. Cut carrot slices lengthwise into thin strips and cook in boiling salted water for about 5 minutes. Quench cold. Cook spaghetti in boiling salted water for about 10 minutes. Heat the rest of the olive oil in a saucepan and fry the carrot strips.
Drain the pasta and add to the carrots. Add pesto and mix well. Season with salt and pepper. Serve with coarsely grated Parmesan cheese. Garnish with the rest of basil