... 2; 33 − = × 13 ⇒ Ord 13 = Ord 13 2 = 3; 34 − = 24 × ⇒ Ord24 = Ord5 = Ord24 ×5 = Ord 23 ×5 = Ord22 ×5 = 4; 35 − = × 112 ⇒ Ord11 = Ord112 = Ord2×11 = Ord2×112 = 5; 36 − = 13 × × 23 ⇒ Ord7 = Ord7× 13 ... (5, 3) , (5, 4), (5, 6), (6, 1), (6, 2), (6, 5), (6, 6), (7, 1), (7, 2), (7, 3) , (7, 4)} Example 2.5 .3 Let R = Z4 [ξ] = {0, 1, 2, 3, ξ, 2ξ, 3 , + ξ, + 2ξ, + 3 , + ξ, 2+2ξ, 2 +3 , 3+ ξ, 3+ 2ξ, 3+ 3ξ} ... 2ξ · + 3 2ξ · + ξ 2ξ · ξ 2ξ · + 3 2ξ · + ξ 2ξ · + 2ξ 2ξ · + 3 φ(a) 2ξ · ξ = + 2ξ + 3 2ξ 3+ ξ 2+ξ + 2ξ ξ 1+ξ 2ξ · + 3 = + 3 3 + 2ξ + 3 We will not list out each Ei for i = 1, 2, 3, as the...