[(1, 0.4082482904638631), (2, 0.8164965809277261), (3, 0.4082482904638631)]
"""
length = sum([f ** 2 for f in frequencies.values()]) ** 0.5
[(1, 0.4082482904638631), (2, 0.8164965809277261), (3, 0.4082482904638631)]
"""
length = sum([f ** 2 for f in frequencies.values()]) ** 0.5