“…Q 4 1 (P 1 )| = 1, |π −1 1 (P 2 )| = 4, |π −1 1 (P 3 )| = 1, |π −1 1 (P 4 )| = 2, |π −1 1 (P 5 )| = 2, and |π −1 1 (P 6 )| = 3. The conjugate of α X is α * X = (6, 4, 2, 1), and hence, by Corollary 5.13 we know that B C = (6,10,12,13). Similarly, β X = (4, 3, 3, 3), and thus β * X = (4, 4, 4, 1).…”