Consider the following elements of $5, written in cycle notation. a z (1 2 3 4 5). 1' = (1 2)(3 4). Do the following calculations by hand. If you would like to check your work, read Section 5.5 of the html version of the textbook and do the same calculations in Sage. (a) [1 point] Write a in array form. (See Example 1.14 in the textbook for an explanation of this notation.) (b) [1 point] Compute or. Write your answer in cycle notation. (c) [1 point] Compute TU. Write your answer in cycle notation. (d) [1 point] Compute 0'1 and 7'1. Write your answers in cycle notation. (e) [1 point] Compute TOTl. Write your answer in cycle notation