Line a sheet pan with aluminum foil. Place all the peppers on the pan and roast in oven for 30-45 minutes, turning frequently, until the peppers are blackened all around the outside and the flesh is very soft. Remove from oven, put the roasted peppers in a bowl and cover with plastic wrap. Let stand for 15-20 minutes.
While peppers are cooling, combine the spices, lemon juice and vinegar in a food processor or blender. When peppers are cool enough to handle, peel and discard the skins, stems and seeds. Add the cooked flesh of the peppers to the food processor and process on high until well blended. Slowly blend in the olive oil and season with additional salt and pepper to taste.