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1
Mound semola on a work surface, create a well, and add warm water and sea salt; gradually incorporate flour with fingertips until shaggy dough forms.
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2
Knead by hand for 8–10 minutes, pushing dough away with the heel of your hand, until smooth, elastic, and slightly sticky.
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3
Rest dough covered with a damp cloth for 20 minutes at room temperature.
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4
Roll dough to 2 mm thickness; cut into thin strands with a fork or pasta wheel, then roll each strand between your palms and work surface to create twisted, rope-like trofie about 4 cm long; lay on semola-dusted parchment.
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5
Bring a large pot of salted water to a rolling boil; add trofie and cook for 3–4 minutes until they float and are tender but still al dente.
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6
Reserve 120 ml pasta water; drain trofie gently.
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7
Warm pesto gently in the serving bowl with 60 ml reserved pasta water to loosen; add drained trofie and toss, adding more pasta water as needed to achieve a silky coating.
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8
Finish with Parmigiano Reggiano, a drizzle of olive oil, and Tellicherry black pepper; serve immediately.