Grilled Lobster and Potatoes with Basil Vinaigrette

Ingredients

• 4 (1 ¼- to 1 ½-pound) live lobsters
• 2 pounds small (1 ½- to 2-inch) boiling potatoes (preferably yellow-fleshed)
• 3 tablespoons red-wine vinegar
• 5 tablespoons fresh lemon juice
• 3 garlic cloves, minced
• ½ teaspoon dried hot red-pepper flakes, or to taste
• 1 teaspoon sugar
• + 5 more ingredients
• • ½ teaspoon salt
  • ²/₃ cup extra-virgin olive oil
  • ½ cup chopped fresh basil
  • ½ pound baby arugula (about 10 cups loosely packed)
  • Accompaniment: lemon wedges

1. Plunge lobsters headfirst into a 12-quart pot of boiling salted water . Cook, covered, over high heat 4 minutes (for 1 1/4-lb lobster) to 5 minutes (for 1 1/2-lb lobster) from time they enter water. Transfer with tongs to a large colander to drain and cool. (Lobsters will not be fully cooked.)...

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