Scarlet Carrot Soup

Name: Scarlet Carrot Soup
Ingredients: 2 tablespoons coriander seeds, toasted and cooled; 1/4 cup extra virgin olive oil; 1 cup sliced shallots (4 large); 3 large thyme sprigs; 2 Turkish bay leaves or 1 California; 1/8 teaspoon hot red pepper flakes; 3 lb carrots, peeled and thickly sliced; 1 lb trimmed beets, peeled and cut into 1/2-inch pieces; 8 cups water plus additional if needed; 2 tablespoons red wine vinegar; About 4 cups vegetable oil for frying; 2 large carrots; 2 to 3 tablespoons all-purpose flour