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1
Bring a large pot of salted water to a boil. Adjust an oven rack to the upper middle position and heat the broiler to high. Line a large rimmed baking sheet with foil and rub it with oil.
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2
Toss the tomatoes with 1 tsp oil and about 1/4 tsp salt. Spread them on the baking sheet. Broil, saking the pan occasionally, until they're cracked, very soft, and shrunken, about 20 mins; they'll be blackened in places.
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3
Meaninwhile, chop the garlic and put it in a small saucpapn, along with 3 Tbs oil and the chile flakes. Bring to a simmer over medium heat and cook until the garlis just begins to turn golden, about 1 min. Remove from te heat and let the oil steep.
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4
Stack the basil leaves on top of one another and roll them into cigar shape. Slice across the cigar to create thin, but not ultra thin, ribbon ( about 1/4 cup).
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5
When the tomatoes are done, cook the pasta until tender, 3 to 4 minutes. Drain the pasta and return it to the pot. Immediately toss it with garlic oil (and garlic) and 1/2 to 1 tsp of salt. Grind lostd of fresh pepper over the pasta, add the broiled tomatoes and the basil, and tossto combine well. Add half the parmigiano, toss again, and immediately turn out into warm bowls. Top with the remaining cheese.
