Heat a large sauté pan over medium high heat with a tbsp of grapeseed oil.
Add lamb with the fat side down, and sear for 2 minutes or until a light brown colour.
Put lamb in oven with garlic, thyme and 30 grams butter. Cook for 5 minutes in oven, whilst turning and basting.
Remove pan from oven, transfer to resting rack, and let rest in warm place for 15 minutes.
Vegetables:
Place the vegetables in a saucepan, add enough water to cover.
Add 30 grams of butter, tsp of sugar and pinch of salt and pepper. Reduce to a simmer and cook for 10 minutes, or until the liquid has evaporated and the vegetables are tender and glazed.
Basil aioli:
Remove basil leaves from stalks, wash.
Blanch the leaves in a pot of boiling water, then drain, refresh in iced water, and drain again.
In a blender, puree the basil and Port Mahon Aioli until smooth, and light green in colour.
To serve the lamb:
Arrange the lamb and vegetables on 4 warm dinner plates and serve with basil aioli on the side.