Python: List Comprehension: Joggle List

Write a function that takes a list lst and returns another list where the even numbers are inverted and odd numbers are sign flipped.


joggle_list([1,2,3,4,5,6,7]) -> [-1,1/2,-3,1/4,-5,1/6,-7]
joggle_list([-1,-5,7,2,4,6]) -> [1,5,-7,1/2,1/4,1/6]

Test 1    

Test 2    

Test 3    

Test 4    

Test 5    

Test 6