In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

[-9.657, 62.292, -6.59, -62.327, 87.926, 153.093, 31.518, 127.692, 129.156, 81.808]
[-0.016  0.105 -0.011 -0.105  0.148  0.257  0.053  0.215  0.217  0.138]